A solid plastic ball is a sphere with radius in. How much plastic does it take to make one​ ball? Use 3.14 for .

Answers

Answer 1

This indicates that one solid plastic ball with a radius of one inch requires 4.19 cubic inches of plastic.

What is volume?

The volume of an object or a substance can be calculated using various formulas, depending on the shape and dimensions of the object or substance. For instance, the volume of a cube can be calculated by multiplying the length, width, and height of the cube. Similarly, the volume of a cylinder can be calculated by multiplying the area of the circular base by the height of the cylinder. Volume is an important concept in many fields, including physics, chemistry, engineering, and architecture. In physics, the volume of a material is important in understanding its density and mass. In chemistry, the volume of a gas is related to its pressure and temperature through the ideal gas law. In engineering and architecture, volume is important in designing and constructing buildings, bridges, and other structures.

Here,

The formula for the volume of a sphere is given by:

V = (4/3) * π * r³

where V is the volume of the sphere and r is the radius.

Substituting the given radius of 1 inch and the value of π as 3.14, we get:

V = (4/3) * 3.14 * 1³ = 4.19 cubic inches

This means that it takes 4.19 cubic inches of plastic to make one solid plastic ball with a radius of 1 inch.

To know more about volume,

https://brainly.com/question/28338582

#SPJ1


Related Questions

I need help on these two

Answers

The prepositional phrase would be B. of the bees.

The prepositional phrase would be C. he took shelter.

What is a prepositional phrase ?

A prepositional phrase is a group of words that includes a preposition (such as "in," "on," "at," "by," "with," etc.) and a noun or pronoun object, along with any associated modifiers.

Prepositional phrases can be used in a variety of ways, including to describe location, time, possession, and other relationships between words in a sentence. In the given statements, the prepositional phrases would be "of the bees" and " he took shelter. "

Find out more on prepositional phrases at https://brainly.com/question/10707375


#SPJ1

I need help someone!! Please helpPP

Answers

Answer:

60

Step-by-step explanation:

Suppose we want to compute x ≡ a^b (mod pq) for primes p and q, utilizing the Chinese Remainder Theorem and Fermat's Little Theorem. Select the true statements. The Chinese Remainder Theorem guarantees a unique solution to any system of modular equations. Fermat's Little Theorem allows us to conclude that ap^−1≡1(mod p) for any integer a and any prime p. By CRT,x=(a^b mod p) (q^−1 mod p) q + (ab mod p)(p^−1 mod q) p
By CRT,x=(a^b mod q)(q^−1 mod p) q + (a^b mod q)(p^−1 mod q) p
Ifb≥p, then a^b−p+1≡a^b (mod p)
If b ≡ c (mod p), then a^b≡a^c (mod p)

Answers

The true statements are: The Chinese Remainder Theorem guarantees a unique solution to any system of modular equations.

Fermat's Little Theorem allows us to conclude that ap^−1≡1(mod p) for any integer a and any prime p.

The first formula given in the question for computing x using CRT is also true.

Statement 3, "If b≥p, then a^b−p+1≡a^b (mod p)", is not necessarily true. Fermat's Little Theorem states that if p is prime and a is not divisible by p, then a^(p-1) ≡ 1 (mod p). However, this does not extend to arbitrary exponents b.

Statement 4, "If b ≡ c (mod p), then a^b≡a^c (mod p)" is true by Fermat's Little Theorem, which implies that a^(p-1) ≡ 1 (mod p), we can write b = kp + c for some integer k, then

a^b = a^(kp+c) = (a^p)^k * a^c ≡ a^c (mod p)

since a^p ≡ a^(p-1) * a ≡ 1 * a ≡ a (mod p) by Fermat's Little Theorem.

To know more about remainder :-

brainly.com/question/30302805

#SPJ4

Suppose a population of honey bees in Ephraim, UT has an initial population of 3600 and 12 years later the population reaches 25000. Use an explicit exponential model to find the rate of growth and common ratio for the honey bee population.


Express the rate of growth as a percentage. Round to the nearest tenth.

r=______%


Express the common ratio as a decimal. Round to the nearest thousandth.


1+r =_______

Answers

1) The rate of growth for the honey bee population is approximately 10.1%, rounded to the nearest tenth.

2) The common ratio is approximately 1.101, rounded to the nearest thousandth.

We can use the formula for an explicit exponential model:

N = N0 × (1 + r)^t

where N0 is the initial population, r is the rate of growth (expressed as a decimal), t is the time elapsed (in years), and N is the final population.

We can use the given information to write two equations:

N0 = 3600

N = 25000

t = 12

Substituting these values into the formula, we get:

25000 = 3600 × (1 + r)^12

Solving for (1 + r), we get:

(1 + r)^12 = 25000/3600

(1 + r) = (25000/3600)^(1/12)

(1 + r) ≈ 1.101

r ≈ (1.101 - 1) × 100% ≈ 10.1%

Therefore, the rate of growth for the honey bee population is approximately 10.1%, rounded to the nearest tenth.

2) The common ratio is 1 + r, so

1 + r ≈ 1.101

Rounding to the nearest thousandth, we get:

1 + r ≈ 1.101

Learn more about exponential model here

brainly.com/question/13514363

#SPJ4

A triangle has angles of −3,2+8, 3−17. Solve for g and find the measures of the
angles

Answers

The measures of the angles of the triangle are:

Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees

To solve for g and find the measures of the angles of the triangle, we need to use the fact that the sum of the angles in a triangle is 180 degrees. This means that:

−3 + (2+8) + (3−17) = 180

Simplifying the equation, we get:

−3 + 10 + (−14) = 180

−7 = 180

To solve for g, we need to isolate it on one side of the equation. To do this, we can add 7 to both sides of the equation:

g = 180 + 7

g = 187

Now, we can plug g back into the original equation to find the measures of the angles:

−3 + (2+8) + (3−17) = 187

−3 + 10 + (−14) = 187

−7 = 187

Therefore, the measures of the angles of the triangle are:

Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees

I hope this helps! Let me know if you have any further questions.

Learn more about measures of the angles here: https://brainly.com/question/25716982

#SPJ11

The radius of a circle is 6 inches. What is the area of a sector bounded by a central angle measuring 120°

Answers

Knowing that a circle has a radius of 6 inches, the area of a sector with a central angle of 120º is 12π square inches.

The area of a sector can be found using the formula:
Area of sector = (Central angle/360°) × π × r²

Where "central angle" is the angle of the sector in degrees and "r" is the radius of the circle.

In this case, the central angle is 120° and the radius is 6 inches. Plugging these values into the formula, we get:
Area of sector = (120°/360°) × π × 6²
Area of sector = (1/3) × π × 36
Area of sector = 12π square inches

Therefore, the area of the sector bounded by a central angle measuring 120° in a circle with a radius of 6 inches is 12π square inches.

See more about central angle at https://brainly.com/question/10945528.

#SPJ11

If the hypotenuse of a right triangle is 35 cm and the radius of the inscribed circle is 4 cm, find the area of ​​the triangle.

Answers

Answer: Let the legs of the right triangle be a and b. We know that the radius of the inscribed circle is 4 cm, which means that the inradius is also 4 cm. The inradius is given by:

r = (a + b - c)/2

where c is the hypotenuse, so we can substitute the given values to get:

4 = (a + b - 35)/2

Multiplying both sides by 2, we get:

8 = a + b - 35

Adding 35 to both sides, we get:

a + b = 43

We also know that the area of the triangle is given by:

A = (ab)/2

where a and b are the legs of the triangle. We can use the Pythagorean theorem to relate the legs to the hypotenuse:

a^2 + b^2 = c^2

Substituting the given value for the hypotenuse, we get:

a^2 + b^2 = 35^2

Simplifying, we get:

a^2 + b^2 = 1225

Now we can use the equation for the sum of the legs to solve for one of the legs in terms of the other:

a + b = 43

b = 43 - a

Substituting this expression for b into the equation for the area, we get:

A = (a(43 - a))/2

Simplifying, we get:

A = (43a - a^2)/2

To find the maximum value of the area, we can take the derivative of A with respect to a and set it equal to 0:

dA/da = 43/2 - a = 0

Solving for a, we get:

a = 43/2

Substituting this value into the equation for the area, we get:

A = (43/2)(43/2 - 43/2)/2 = 0

This means that the area of the triangle is 0 when one of the legs has a length of 0, which is not possible. Therefore, the maximum area occurs when the legs have equal lengths, which means that the right triangle is an isosceles right triangle. In this case, we have:

a = b = (35/sqrt(2)) cm

Substituting these values into the equation for the area, we get:

A = (ab)/2 = ((35/sqrt(2))^2)/2 = 612.5 cm^2

Therefore, the area of the right triangle is 612.5 square centimeters.

Step-by-step explanation:

I need alottttt of hellp

Answers

The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.

Thus,

b + 3 + 6c         - Yes

-30 - 24z           - No

27n + 66p         - Yes

36 - 9j + 6k       - Yes

Determining the greatest common factor

From the question, we are to determine if 3 is the greatest common factor of the given expressions

b + 3 + 6c

3(b + 1 + 2c)

The greatest common factor is 3

-30 - 24z

6(-5 -4z)

The greatest common factor is not 3. The greatest common factor is 6

27n + 66p

3(9n + 22p)

The greatest common factor is 3

36 - 9j + 6k

3(12 - 3j + 2k)

Thus, The greatest common factor is 3

Learn more on Greatest common factor here: https://brainly.com/question/28180346

#SPJ1

there is one line on the graph and its asking what is in the solution set?

Answers

Answer: you

Step-by-step explanation:

Carrie spent half of her allowance playing mini golf. She then earned $12 more babysitting. What is her weekly allowance if she has $24 left?

Answers

Answer: her allowance is $24

Step-by-step explanation:

What are like terms examples?

Answers

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

What is the area of the circle in the figure below ?

Answers

Answer:

100[tex]\pi[/tex]

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

The diameter is 20,.  The radius is 1/2 of the diameter.

A = [tex]\pi 10^{2}[/tex]

A = [tex]\pi 100[/tex]

Answer:

Step-by-step explanation: That is actually the hidden number that is on the other side of the circle so it says how or what numbers is on the hidden circle so good luck finding the number

Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time.

Answers

This equation can be used to predict the balance of the savings account after t years.

What is equation?

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


We can graph the data in a line graph to visualize the relationship between the two variables. The graph will have time (t) represented on the x-axis and the balance of the savings account (m) represented on the y-axis. The graph will demonstrate that the total balance of the two accounts increases over time.

The equation that models this data can be found by using the slope-intercept form, y = mx + b. Here, y represents the balance of the savings account (m), x represents the time (t), m is the slope of the line, and b is the y-intercept. To find the equation, we can first find the slope, which is the change in y divided by the change in x. This is (2,800 - 500) / (3 - 0) = 2,300 / 3 = 766.67. The y-intercept is the balance of the savings account when t = 0, which is 500. We can now write the equation as m = 766.67x + 500. This equation can be used to predict the balance of the savings account after t years.

To know more about equation click-
https://brainly.com/question/26408808
#SPJ1

What is the discount for a retail price of $892 and a discount rate of 12%

Answers

Just do 892* 0.12
Which 0.12= 12%
Final answer: 107.04

Plsss help
Find the exact are of the shaded region. Point I marks the center of the circle.

Answers

The area of the shaded region that is the segment of the circle is equal to 4.6 ft² to the nearest tenth.

How to calculate the area of the circle segment

To calculate the area of a segment of a circle, you need to know the radius of the circle, the central angle of the segment (in radians or degrees), and possibly the height of the segment (the distance from the chord of the segment to the center of the circle).

The formula for the area of a segment of a circle is:

A = θ/360° × πr² - 1/2 × r² × sinθ

where A is the area of the segment, r is the radius of the circle, and θ is the central angle of the segment in degrees.

From the question;

the central angle = 90°

radius r = 4ft

Area of the segment = 90°/360° × π4² - 1/2 × 4² × sin90°

Area of the segment = 1/4 × π × 4 × 4 - 1/2 × 4 × 4 × 1 {sin90° = 1}

Area of the segment = 4π × 8

Area of the segment = 4.5714

Therefore, the exact area of the shaded region that is the segment of the circle is equal to 4.6 ft² to the nearest tenth

Know more about area here: https://brainly.com/question/2999620

#SPJ1

(8.8 x 109) + (2.2 × 10³)​

Answers

Answer: 3159.2

Step-by-step explanation:

8.8 times 109= 959.2

2.2 times 10 cubed= 2200

2200+959.2= 3159.2

Answer:

3159.2

Step-by-step explanation:

You have to do it step by step. You have to do the first parentheses, then the next, then add it together. Here's how you would do it:

[tex](8.8 * 109)+(2.2 * 10^{3}[/tex]

You have to figure out the end result of the square root, then figure out the parentheses.

[tex]959.2 + 2200[/tex]

This is the end result of all the parentheses. All you have to do now is add the two numbers to get the end number.

[tex]3159.2[/tex]

This is the final result of the equation.

A town is designing a rectangular park that will be 600 feet by 1000 feet. A rectangular area of the park for swing sets will be 25 feet by 100 feet. On a scale drawing of the park the swing set area is 0. 5 inch by 2 inches. What is the dimensions of the park on the scale drawing?

Answers

The dimensions of the park on the scale drawing are 2 inches by 0.5 inches

The dimensions of the park on the scale drawing can be determined by using the scale factor between the actual dimensions and the scale drawing dimensions. The scale factor can be found by dividing the actual dimensions by the scale drawing dimensions.

Scale factor for length = Actual length / Scale drawing length = 1000 feet / 2 inches = 500 feet per inch
Scale factor for width = Actual width / Scale drawing width = 600 feet / 0.5 inches = 1200 feet per inch

Now, we can use the scale factor to determine the dimensions of the park on the scale drawing.

Length of park on scale drawing = Actual length / Scale factor for length = 1000 feet / 500 feet per inch = 2 inches
Width of park on scale drawing = Actual width / Scale factor for width = 600 feet / 1200 feet per inch = 0.5 inches

Therefore, on the scale drawing, the park measures 2 inches by 0.5 inches.

More about the scale drawing here

https://brainly.com/question/28651690

#SPJ11

Your weight on planets different is affected by gravity 50 £ 55 pounds on Mars the same ways only to 24 pounds on the moon what percent of an object earth weight is it weight on mars and
on the moon

Answers

The weight of an object on Mars is 50-55 pounds, which is approximately 83-92% of its weight on Earth. The weight of an object on the Moon is 24 pounds, which is approximately 40% of its weight on Earth.

Answer:

Assuming the weight of the object on Earth is 100 pounds, its weight on Mars would be:

(50 / 100) x 100 = 50 pounds

So the weight of the object on Mars is 50% of its weight on Earth.

Similarly, the weight of the object on the moon would be:

(24 / 100) x 100 = 24 pounds

So the weight of the object on the moon is 24% of its weight on Earth.

1. find the square roots of (a) 2i; (b) 1−√3i and express them in rectangular coordinates.

Answers

a) The square root of complex number, 2i is equals to the ±( 1 + i).

b) The square root of complex number, (1 - √3i) is equals to the ±1/√2(√3 - 1). The rectangular coordinates plane of both present in above figure.

Square root of a number is defined as a value which on multiplication by itself, results the original number. If p is the square root of q then it is denoted as p=√q. We have to determine the square root of complex numbers and express them in rectangular coordinates. For a nonzero complex number z, its square roots are √z =√r exp( i(2πk + θ)/2), k = 0,1

(a) The magnitude of 2i is r =√(2² + 0) = 2, and the principal argument is θ = π/2. So, (2i)½ = r½ exp(i (2πk + π/2)/2) , k = 0, 1

For first root, substuting, k = 0

=> (2i)½ = 2½ exp(i (2π×0 + π/2)/2)

=> (2i)½ = √2 exp(i (π/2)/2)

=> (2i)½ = √2 exp(i π/4) = √2(cos(π/4) + i sin(π/4)

=> (2i)½ = √2( 1/√2 + i(1 /√2)) = 1 + i

For second root substuting, k = 1

=> (2i)½ = 2½ exp(i (2π×1 + π/2)/2)

=> (2i)½ = √2 exp(i (5π/2)/2)

=> (2i)½ = √2 exp(i (5π/4) = √2( cos(5π/4) + i sin(5π/4)

=> (2i)½ = √2(- 1/√2 + i(-1 /√2)) = - (1 + i)

Hence, square root of 2i is ±( 1 + i).

b) 1 -√3i

The magnitude and principal argument of 1 −√3i are respectively, r = √(1² + (√3)²) = 2 and θ = tan⁻¹ ( -√3/1) = - π/3. Similar to part(a), square root of (1 - √3i) is written as (1 - √3i)½ = r½ exp(i (2πk - π/3)/2), k= 0, 1

For first root , k = 0

(1 - √3i)½ = √2 exp(i (2π×0 - π/3)/2)

=> (1 - √3i)½ = √2 exp(i (- π/6) )

=> (1 - √3i)½ = √2( cos(-π/6) - i sin(π/6))

=> (1 - √3i)½ = √2( cos(π/6) - i sin(π/6))

=> (1 - √3i)½ = √2( √3/2 - i (1/2)) = 1/√2(√3 - 1)

For second root, k = 1

(1 - √3i)½ = √2 exp(i (2π×1 - π/3)/2)

=> (1 - √3i)½ = √2 exp(i (5π/3)/2)

=> (1 - √3i)½ = √2 exp(i (5π/6))

=> (1 - √3i)½ = √2 (cos(5π/6) + i sin(5π/6))

=> (1 - √3i)½ = √2 (- √3/2 + i(1/2) ) = - 1/√2(√3 - i)

so, (√1- √3i ) is ± 1/√2(√3 - 1). Hence, we got all required square roots.

To learn more about complex numbers, visit:

https://brainly.com/question/1245664

#SPJ4

Complete question:

1. Find the square roots of (a) 2i; (b) 1 - √3i and express them in rectangular coordinates.

which of the following methods can enid use to test her claim? choose the two correct answers. responses she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could calculate the ratio between the number of calories burned for each pair of jogs and see if the ratio is always the same.

Answers

She should figure out how many calories she burned compared to how many miles she ran, which is the proper statement.

What is a ratio?

When two amounts are quantitatively related, it is possible to see how many times one value contains or is contained by the other. for instance, "There are now two computers for every student."

Given here: The table containing data calories vs miles run.

Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

=295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clearly, the ratios are different.

Hence, the table containing the data doesn't form a proportional relationship.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

Determine the height of a picture when the total height of the picture with the frame is 38.5 cm.

Answers

A graph of the relationship modeled by the equation is shown in the image attached below.

If the graph continues, the point (28, 24) will not be on the graph.

The height of a picture when the total height of the picture with the frame is 38.5 cm would be 34.5 cm.

How to graph the relationship modeled by the equation?

In this scenario, the total height of a picture in its frame (in centimeters) would be plotted on the y-axis of the graph while the height of the picture (in centimeters) would be plotted on the x-axis of the graph.

Based on the ordered pair (28, 24), we would determine if it lies on the graph of the equation:

y = x + 4

24 = 28 + 4

24 = 32 (False).

When the total height of the picture with the frame is 38.5 cm, the height of a picture can be calculated as follows;

y = x + 4

38.5 = x + 4

x = 38.5 - 4

x = 34.5 cm.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Complete Question:

The equation y = x + 4 models the total height of a picture in its frame, y, in centimeters with respect to the height of the picture, x, in centimeters.

a. Graph the relationship modeled by the equation. Be sure to label the axes.

b. If the graph continues, will the point (28, 24) be on the graph?

c. Determine the height of a picture when the total height of the picture with the frame is 38.5 cm.

What is the equation of the line that passes through the point (−4, 8)
and has a slope of zero?

Answers

Answer:

y=8

Step-by-step explanation:

Slope-intercept form

y=mx+b

Plug in values

y=0x+b

8=0(-4)+b

b=8

substitute

y=8

Eva deposits $2,000 in a savings account with an interest rate of 5% compounded continuously. She decides not to deposit or withdraw any money after the initial deposit. She uses the formula A = Petto represent her account balance, A, after t years, where r is the rate of interest and P is the beginning balance, or principal. How long will it take for Eva's initial deposit to double?​

Answers

It take 20 years for Eva's initial deposit to double?.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Eva deposits $2,000 in a savings account with an interest rate of 5% compounded continuously.

Here, Principal amount = $2000

Amount = $4000

Interest rate = 5%

Now, We know that;

⇒ Interest = PRT

Substitute all the values, we get;

⇒ 2000 = 2000 × 0.05 × T

⇒ T = 1/0.05

⇒ T = 100/5

⇒ T = 20 years

Learn more about simple interest visit;

brainly.com/question/2294792

#SPJ1

Chris is 6 feet tall and he casts a shadow that is 5 feet longHe measures that the shadow cast by the school building is 30 feet longHow tall is the school building?

Answers

The school building is 36ft tall.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Chris is 6 feet tall and he casts a shadow that is 5 feet long

He measures that the shadow cast by the school building is 30 feet long

We can say the ratios will be same  6/h = 5/30

h =6 × 6 = 36 ft

Hence the school building is 36ft tall.

Learn more about Pythagoras' theorem, by the following link

https://brainly.com/question/231802

#SPJ1

Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

Vertical plane x intersects horizontal plane y. Line R S is horizontal on plane y. Lines A B and C G are vertical and beside each other on plane x. A right angle is indicated between the lines on the y plane and x plane. Lines A B and D G are parallel.

Which statements are true? Select three options.

Answers

The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

What is a line segment?

A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within. The Euclidean distance between two ends of a line segment determines its length.

Here, we have

Given: Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and option A is the correct option.

B) Line AB and Line RS are parallel: As a line, AB lies in plane X and line RS lies in plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.

C)Line CG and Line RS are perpendiculars: As line CG lies in plane x and line RS lies in plane Y. Thus both are perpendicular. Option C is the correct option.

D) Line AB and Line RS must intersect: line RS passes from the middle of plane Y and line AB passes from the left of plane X center. Thus they do not intersect each other. Option D is the incorrect option.

E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.

F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.

Hence, The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

To learn more about the line segment from the given link

https://brainly.com/question/280216

#SPJ1

1) h(n) = 32¹; Find h(0)
2n

Answers

The function h(0) when evaluated is 3

How to evaluate the function

From the question, we have the following parameters that can be used in our computation:

h(n) = 3(2)^n

Given that

h(0)

This means that

n = 0

Substitute the known values in the above equation, so, we have the following representation

h(0) = 3(2)^0

Evaluate

h(0) = 3

Hence, the value is 3

Read more about function at

https://brainly.com/question/28277110

#SPJ1

how many ounces to a milliliter

Answers

Answer:

1 fluid oz = 29.5735 milliliters

Step-by-step explanation:

What are units?

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

1oz = 29.5735ml1ml = 0.033814oz

Therefore, for every 1 fluid ounce, it is equivalent to 29.5735 milliliters.

Use an algebraic method (substitution or elimination) to solve the system of equations. Show your work.

PLEASE HELP!!!!

4X − 2Y = 16

2X + 3Y = 32

Answers

Answer:

X=7

Y=6

Step-by-step explanation:

Divide the 1st equation by 2.

2x+3y=32

2x-y=8

When you subtract those 2 numbers, you get that 4y=24.

Y=6

32-6*3=14=2x

X=7

When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? A. Never B. When the correlation coefficient is close to -1 or +1. C. When the correlation coefficient is equal to -1 or +1. D. When the scatterplot of the data has little vertical variation.

Answers

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

Learn more about correlation coefficient here: brainly.com/question/15577278

#SPJ4

1. A young man rents an apartment for $850 / month. His

sister buys a house with a $20,000 down payment and

monthly mortgage payments of $1,150. Determine who spends

more over the 30-year period that her mortgage lasts,

assuming that both living situations remain the same. Who is in

a better position as far as having a financial asset?

Answers

a) The sister spends more (making total payments of $414,000) over the 30-year period than the young man, who spends $306,000.

b) Assuming both living situations are the same, the sister is in a better position as far as having a financial asset is concerned.

How the numbers are determined:

The numbers are determined using the mathematical operations of multiplication and subtraction.

The monthly rent for an apartment = $850

The total payments for 30 years = $306,000 (30 x 12 x $850)

Sister's Payment for a Mortgaged House:

Down payment = $20,000

Monthly mortgage payments = $1,150

The total payments for 30 years = $414,000 ($1,150 x 360)

The difference in total payments = $108,000 ($414,000 - $306,000)

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Other Questions
Tue/ False? When communicating on social media, we rely almost exclusively onthe script. what is liters to pounds? Definition of the term active transport how many valentines day cards are mailed each year? 10 ways modernity has affected the kinship what factors prompted the US to claim overseas territories in the 1890s and early 1900s? Suppose you are designing short walls to go across the front of flower beds. The walls will be built with small concrete blocks in the design shown here. Each block is 1-foot long by 1-foot wide by 1-foot high. Only whole blocks can be used for the walls.What is not a symbolic representation of the relationship between the number of blocks in each wall, b, and the length of each wall in feet, f? How to make 41 f to c? which answer reflects (in this order) a good, a service, and an idea that can be marketed? Describe a life event which you feel has prepared you to be successful in college Which of the following elements of COSO refers to policies and procedures that support the cultural issues such as integrity, ethical values, competence, philosophy, and operating style?a. Ongoing monitoringb. Information and communicationsc. Control activitiesd. Risk assessment What is the red figure technique You are in the process of installing a new motherboard in your workstation.You have already installed the CPU, heat sink, and memory. You have inserted the I/O shield into the case, fastened the standoffs to the case, and attached the motherboard to the standoffs. You are now ready to complete the installation. What is the BEST next step to complete?answer choicesConnect your drives to the SATA connectors.Install additional devices in the expansion slots.Connect the power and accessory cables.Document the settings of the new motherboard. the half-life of cobalt-60 (used in radiation therapy) is 5.26 What happened to Native Americans during the early 1800s?O They were given back their land through the policies of Andrew Jackson.O They gained land as the nation expanded westward.O They lost a war to the British and were imprisoned.O They challenged the authority of the United States government over them.1 23 What is the normal lens of the eye what problem is faced by multicore processors running older software written for single-brain chips? Who was assassinated in South Vietnam? 4% interest compounded semiannually. What must Tony deposit today so he will have $60,000 in four years? On the grid below, draw a median line bar graph to illustrate the net migration rate for the six countries. Use a scale of one unit for every 2/1000 net migrationthis is all the information given