What is the result of 4000 x 12 ?

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

Answer:

1 fluid oz = 29.5735 milliliters

Step-by-step explanation:

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

Converting these units:

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

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:

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.

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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

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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.

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

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

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The school building is 36ft tall.

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.

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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.

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Answer:

[tex]31.7^\circ[/tex]

Step-by-step explanation:

We use the property that the sin of the angle of a right triangle is the ratio of the side opposite that angle divided by the hypotenus

Therefore
[tex]\begin{aligned}\sin x & = \dfrac{2.1}{4}\\& = 0.525\\\end{aligned}\\\begin{aligned}x &= sin^{-1}(0.525)\\& = 31.7^\circ \end{aligned}[/tex]

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.

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)

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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

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

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If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

What is proportion ?

Proportion refers to the relationship or comparison between two or more quantities or values. It is typically expressed as a ratio or fraction that compares the part to the whole or the amount of one thing to the amount of another thing.

The two correct methods that Enid can use to test her claim are:

She could calculate the ratio change in calories burned to change in miles jogged for two data points and compare the results to the same ratio with two other data points.

This method involves calculating the ratio of the change in calories burned to the change in distance jogged for two pairs of data points, and then comparing the results to see if they are the same. If they are the same, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

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.

This method involves graphing the data points on a coordinate plane and checking if they form a straight line that passes through the origin (0, 0).

Therefore, If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

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A limit that does not exist is a limit that approaches infinity or negative infinity. The formula is [tex]\lim_{x \to \ > 2}+ f_(x)[/tex].

If the graph has any gap at the x value c, then two sided limits at that point will not exist. If the graph has vertical asymptote and one side of the asymptote goes towards the infinity and other goes towards negative infinity, then the "limit does not exist".

A limit that does not exist is when function does'nt approach a specific value as it approaches a certain point. This is usually due to the fact that the function is discontinuous or that it oscillates between two or more values.

This type of limit is known as an "infinite limit" or an "oscillatory limit" since the function does not converge or diverge, but instead fluctuates or oscillates between values. In this case, the limit does not exist because the function does not approach a single value as it reaches the point in question.

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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

The value of x to 3 significant figures is approximately 18.9 cm.

Area of circle can be defined as the product of pi and square of radius of circle.

The area of a circle is given by the formula[tex]A = πr^2[/tex], where r is the radius of the circle.

Since the area of the circle is 56^2 cm, we can set up the equation:

[tex]πr^2 = 56^2[/tex]

Solving for r, we get:

[tex]r = √(56^2/π) ≈ 13.37 cm[/tex]

Since the square fits exactly inside the circle, its diagonal is equal to the diameter of the circle, which is 2r. Therefore:

x√2 = 2r

Substituting the value of r, we get:

[tex]x√2 = 2(√(56^2/π))[/tex]

x√2 ≈ 26.74

Dividing both sides by √2, we get:

x ≈ 18.94

Therefore, the value of x to 3 significant figures is approximately 18.9 cm.

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The function h(0) when evaluated is 3

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

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The polynomial 250x³ - 42x² + 112x is a trinomial of degree 3.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

The given polynomial is 250x³ - 42x² + 112x.

To classify this polynomial by the number of terms, we count the number of terms it has, which is three. Therefore, we can classify it as a "trinomial".

To identify the degree of this polynomial, we look at the highest power of x in the polynomial. In this case, the highest power of x is 3, which is the coefficient of the x³ term. Therefore, the degree of this polynomial is 3.

So, the polynomial 250x³ - 42x² + 112x is a trinomial of degree 3.

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Answer:

The answer might be B. $11, 796 i'm not sure

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.

Answer: you

Step-by-step explanation:

The measure of the value after converting 147 pounds to kilograms is equal to ( 66.6792 ) kilograms.

Relation of 1 kilograms = 2.20462 pounds.

⇒ 2.20462 pounds = One kilograms

⇒ 1 pounds = ( 1 / 2.20462 ) kilograms

⇒1 pounds = ( 0.4536 ) kilograms

Substitute the value 147 pounds we get,

⇒ 147 pounds = ( 147 × 0.4536 ) kilograms

⇒ 147 pounds =  ( 66.6792 ) kilograms

Therefore, after converting the value 147 pounds to kilogram is equal to  ( 67.1328 ) kilograms .

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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.

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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:

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

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.

This is the final result of the equation.

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.

Answer:

60

Step-by-step explanation:

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.

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I believe the answer is: 83 square inches.

"How so?"

First step:

11 x 5 + 7 x 4 = ?

Now, multiply.

11 x 5 = 55

Multiply once again.

7 x 4 = 28

Now add.

55 + 28 = 83.

I apologize if this is incorrect. I hope you have a lovely day! :)

Answer:

What is the area of this figure?

Step-by-step explanation:

You're welcome.