The volume of a cylindrical container is 251 cubic inches. The radius of the container is 4 inches. Find the height of the container. Round your answer to the nearest inch.

Answer:

blue 3/4

black 4/5

Step-by-step explanation:

I'm not sure about the answer

Answer:

2/25

Step-by-step explanation:

So 30 total marbles.

The marble is being REPLACED this time. Our denominator (30) won't change for this example because we're putting the marble back in the bag in between selections.

Prob (blue) = 12/30

We put that marble back so we still have 30 marbles in the bag.

Now we're going to look for prob(black) = 6/30

Multiply these 2 'events' by each other; they are independent events.

(12/30) x (6/30) = 2/25

The rate of the jet in still air is 638 mph, and the rate of the wind is 40 mph.

Let's denote the rate of the jet in still air as "r" and the rate of the wind as "w".

According to the given information, the jet travels 1794 miles against the wind in 3 hours. This can be represented as:

1794 = (r - w) * 3

According to the given information, the jet travels 2034 miles with the wind in 3 hours. This can be represented as:

2034 = (r + w) * 3

We now have a system of two equations:

1) 1794 = (r - w) * 3

2) 2034 = (r + w) * 3

To solve this system of equations, we can use substitution or elimination.

Solving equation 1) for r, we get:

r - w = 598

r = 598 + w

Substituting this expression for r into equation 2), we get:

2034 = (598 + w + w) * 3

2034 = (598 + 2w) * 3

678 = 598 + 2w

80 = 2w

w = 40

Substituting the value of w back into r = 598 + w, we get:

r = 598 + 40

r = 638

Therefore, the rate of the jet in still air is 638 mph, and the rate of the wind is 40 mph.

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Answer:

  I, B

Step-by-step explanation:

You want the surface area of the triangular prism and the composite cuboid+pyramid figures shown.

The surface area is the area of the two bases plus the lateral area of the rectangular faces.

  SA = bh +PH

  SA = (8 ft)(6 ft) +(8 ft +6 ft +10 ft)(12 ft) = 48 ft² +(24 ft)(12 ft) = 336 ft²

The surface area of the prism is 336 square feet. (choice I)

The surface area of this figure is the sum of the areas of the square base, the lateral area of the cuboid, and the later area of the triangular faces.

  SA = s² +4sh +2sH

  SA = (10 in)² +4(10 in)(5.6 in) + 2(10 in)(11 in)

  SA = 100 in² +224 in² +220 in² = 544 in²

The area of the pyramid figure is 544 square inches. (choice B)

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The height of triangle XYZ is given as follows:

h = 8 cm.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:

A = 0.5bh.

The base length for the triangle in this problem is given as follows:

b = 16 cm.

The area of the triangle in this problem is given as follows:

64 cm².

Hence the height of the triangle is obtained as follows:

0.5 x 16 x h = 64

8h = 64

h = 64 cm.

The triangle is given by the image presented at the end of the answer.

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Answer: y/11

Step-by-step explanation:

because it is a division problem, and the number is unkown, you would use the variable to say y divided by 11.

The height of the building will be 14.4 ft as per the proportionality of triangles.

Given that Martha is 6 ft tall and the distance from Martha to the base of the ladder is 5 ft, we can set up the following proportion in the given triangle:

(Height of Martha) / (Distance from Martha to the base of the ladder) = (Height from top of the ladder to building) / (Distance from Martha to the base of the ladder)

Using the values we have, we get:

6 ft / 5 ft = (Height from top of the ladder to building) / 12 ft

Cross-multiplying, we have:

(Height from top of the ladder to building) = (6 ft / 5 ft) * 12 ft

Simplifying, we get:

(Height from top of the ladder to building) = 14.4 ft

Therefore, the top of the ladder is 14.4 ft up the building.

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The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

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Answer:

3

Step-by-step explanation:

Ami nor Josh is correct. The correct answer should be approximately 41.0651.

To determine which answer is correct, let's approximate the calculation and compare the results.

First, let's evaluate 595/4.08²:

595 / (4.08²) ≈ 595 / (4.08 × 4.08) ≈ 595 / 16.6464 ≈ 35.7651

Next, let's add 5.3 to the result:

35.7651 + 5.3 ≈ 41.0651

Now, let's compare the approximate value with the given answers:

Ami's answer: 27.1115

Josh's answer: 271.115

From the approximations, we can see that neither Ami's answer nor Josh's answer matches the calculated result of 41.0651.

Therefore, based on the given answers, neither Ami nor Josh is correct. The correct answer should be approximately 41.0651.

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The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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The value of the exponent is given as 0.638

An exponent refers to the number of times a number or expression (known as the base) is multiplied by itself.

For example, in the expression 2^3, 2 is the base and 3 is the exponent. This expression stands for 2 multiplied by itself 3 times, or 222, which equals 8.

Exponents can also be negative or fractions. A negative exponent means that the base is on the wrong side of the fraction line, so you flip the base to the other side.

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Please give brainliest

Answer:

To calculate the number of different fruit salads that can be made using up to three different fruits, we can consider the combinations of fruits.

Since we have 7 different fruits to choose from, the number of combinations of selecting up to 3 fruits can be calculated using the formula:

C(7, 1) + C(7, 2) + C(7, 3)

where C(n, r) represents the combination of selecting r items from a set of n items.

Using this formula, we get:

C(7, 1) = 7

C(7, 2) = 21

C(7, 3) = 35

Adding these combinations together, we get:

7 + 21 + 35 = 63

Therefore, the correct answer is 63.

The sine of the angle at the location of the friend's house is equal to 15 degree.

Given that the location of the friend's house to your house is equal to 10 km, and that of the perpendicular is 6 km

WE have Trigonometric identities, that are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Therefore, we know that

sine A = perpendicular/ hypotenuse

sine A = 6 km/ 10 km

sine A = 0.6

Angle A = 15 degree.

Therefore, the sine of the angle A is equal to 15 degree.

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Answer:

x = 30.

Step-by-step explanation:

Answer:

c) 8 ft

Step-by-step explanation:

If the figure is a square, then all sides have the same length.

perimeter = 4 × length of one side

perimeter = 4 × 2 ft

perimeter = 8 ft

Answer:

Let x be the measure of the angle. The complement of the angle is 90 - x degrees. The problem states that the measure of the angle is 18 degrees less than one-half of the measure of its complement. This can be written as:

x = (1/2)(90 - x) - 18

Solving for x gives:

x = 36 degrees

Therefore, the measure of the angle is 36 degrees.

The expression that would equal x is:

(1/2)(90 - x) -18

Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

ΔCDE ,

∠C + ∠D + ∠E = 180    {angle sum property of triangle}

60 + 53 + ∠E = 180

      113 + ∠E = 180

              ∠E = 180 - 113

            ∠E =  67

ΔFGH ,

∠F + ∠H + ∠G = 180    {angle sum property of triangle}

60 +  67  + ∠G = 180

     127 + ∠G = 180

∠G = 180 - 127

∠G =  53

∠C = ∠F

∠E = ∠H

∠D = ∠G

ΔCDE ~ ΔFGH   ------ AA similarity

The median of the set graphed un the line plot is 127, so the correct option is B.

The median is just the middle value of a set, when we order it from lowest to largest.

Here the set is graphed on the line plot, and there are a total of 17 points, the middle point will be the one number 9.

Then we need to count until the 9th point and see which value it is, the 9th point is 127, so that is the median of the given set.

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The correct option is the first one, the graphs are:

I) This is an identity.

II) This is a reciprocal function.

III) This is an absolute value function.

IV) This is a square root.

First let's define general graphs for each of these functions.

Then the graphs are:

I) This is an identity.

II) This is a reciprocal function.

III) This is an absolute value function.

IV) This is a square root.

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The tale showing the ordered pair and the location is below

Point                 Ordered Pair (x, y)

Library          (7, 8)

Market          (3, 6)  

Bank             (3, 8)  

School          (10, 8)

Pool              (7, 3)

Park              (7, 1)

To complete the table and graph the points on the coordinate plane, we can follow the given descriptions:

Library is 7 units right and 8 units up from the origin.

this means the library's coordinates are (7, 8).

Market is 4 units left and 2 units down from the library.

(7 - 4, 8 - 2), which simplifies to (3, 6).

Bank has the same x-coordinate as the market and a y-coordinate of 8.

Since the x-coordinate of the market is 3, the bank's coordinates are (3, 8).

School has the same y-coordinate as the bank and an x-coordinate of 10.

Since the y-coordinate of the bank is 8, the school's coordinates are (10, 8).

Pool is 5 units down and 3 units left from the school.

the pool's coordinates are (10 - 3, 8 - 5) which simplifies to (7, 3).

Park has the same x-coordinate as the pool and a y-coordinate of 1.

Since the x-coordinate of the pool is 7, the park's coordinates are (7, 1).

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The system of inequality is solved on the graph and the point of solution is given by P ( -0.833 ,0 )

Given data ,

Let the system of inequality be represented as A and B

Now , the values of A and B are

-7x + 3y > 3   be equation (1)

6x + 3y ≤ -5   be equation (2)

On plotting the equations on the graph , the points of intersection is the solution to the inequality

So , the point of intersection on the graph are

P ( -0.833 ,0 ) and Q ( -0.566 , -0.321 )

Hence , the solution to the inequality is P ( -0.833 ,0 )

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Based on the information given,

We can use the equation for vertical motion:

h(t) = -16t² + v₀t + h₀

where:

h(t) is the height of the ball at time t

t is the time in seconds

v₀ is the initial velocity (upwards) of the ball

h₀ is the initial height of the ball

So the equation becomes h(t) = -16t₂ + 60t + 5

A)  How high is the ball after 2 seconds?

Substitute t = 2 into the equation

h(2) = -16(2)² + 60(2) + 5

= 61 feet

B) b) How high is the ball after 4 seconds?

Substitute t = 4 into the equation h(4) = -16(4)₂ + 60(4) + 5

= -11 feet

C) When does the ball hit the ground?

To find the time when the ball hits the ground, set h(t) = 0 and solve for t   -16t² + 60t + 5 = 0

Using the quadrtic method, this give us two values:

t = −0.0852724 or −3.66473

This means that the ball didn't hit the floor int he given time frame.

D)  What is the maximum height of the ball?

The maximum height occurs at the vertex of the parabolic equation. The t-coordinate of the vertex can be found using the formula:

t = -b / (2a)

where a = -16 and b = 60.

E) solving for t above we have

t = -60 / (2 * -16)

t = -60 / (-32)

t = 1.875

Thus, the maximum height was attached at 1.875 seconds.

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The compound inequality for the number line is -4 < x ≤ 0.

Option C is the correct answer.

We have,

From the number line,

The black dot indicates the value on the number line being included.

The open circle indicates the number not included.

Now,

We can have compound inequalities from the number line as:

x > -4 and x ≤ 0

This can be written as,

-4 < x ≤ 0

Thus,

The compound inequality for the number line is -4 < x ≤ 0.

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Juan's location after 60 seconds, given the starting point and the number of seconds would be ( 18, 14 )

Every 15 seconds, Juan moves 4 yards east and 3 yards north. He is therefore moving along the grid in steps of (4 , 3 ).

After 60 seconds, Juan will have moved 4 times because 15 seconds in 60 seconds gives 4. This means he would have moved east by :

= 4 x 4

= 16 yards

And north by :

= 3 x 4

= 12 yards

His location would be:

= ( 2 + 16 , 2 + 12 )

= ( 18, 14 )

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The rest of the question is:

What will Juan's location be after 60 seconds?

The simplified expression after the division is x¹⁵.

Given an expression,

(3x² y⁻³)³ divided by 27 (xy)⁻⁹

We have to find the simplified form of the expression.

To simplify this, we have to know the basic rules in the operation of exponents.

Division rule of exponents is xᵃ / xᵇ = xᵃ⁻ᵇ

Multiplication rule of exponents is xᵃ . xᵇ = xᵃ⁺ᵇ

Power of power rule is (xᵃ)ⁿ = xᵃⁿ

Given expression is,

(3x² y⁻³)³ / 27 (xy)⁻⁹

This can be written as,

(3x² y⁻³)³ / 27 (xy)⁻⁹ = 27 x⁶ y⁻⁹ / 27 x⁻⁹ y⁻⁹

Cancelling the same terms in the numerator and denominator,

(3x² y⁻³)³ / 27 (xy)⁻⁹ = x⁶ / x⁻⁹

                                 = x⁶ ⁻ ⁽⁻⁹⁾

                                 = x¹⁵

Hence the simplified form is x¹⁵.

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The desired ratio will be 2/3

The area of an equilateral triangle can be calculated using the formula:

Area of equilateral triangle = (√(3) / 4) * side length²

For the given equilateral triangle with a side length of 4 inches, the area is:

Area of equilateral triangle = (√(3) / 4) * 4^2 = (√(3) / 4) * 16 = 4 * √(3) square inches

The area of a regular hexagon can be calculated using the formula:

Area of regular hexagon = (3 * √(3) / 2) * side length²

For the given regular hexagon with a side length of 2 inches, the area is:

Area of regular hexagon = (3 * √(3) / 2) * 2² = (3 * √(3) / 2) * 4 = 6 * (3) square inches

Now, we can calculate the ratio of the areas:

Ratio = (Area of an equilateral triangle) / (Area of the regular hexagon)

= (4 *√(3)) / (6 * √(3))

= 2/3

Therefore, the ratio of the area of an equilateral triangle with side lengths of 4 inches to the area of a regular hexagon with side lengths of 2 inches is 2/3.

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(x - 1), (x + 2)  and (x + 6) are the factors of th egiven polynomial.

We must factor the polynomial p(x) = x3 + 7x2 + 4x - 12 fully in order to determine its factored form.

One method is to identify a factor using the Rational Root Theorem or synthetic division, then divide the polynomial by that factor. However, we can see that x = 1 is a root for this specific polynomial.

By substituting x = 1 into the polynomial, we find that [tex]p(1) = (1)^3 + 7(1)^2 + 4(1) - 12 = 0[/tex].

This means that (x - 1) is a factor of the polynomial.

Using long division or synthetic division, we can divide the polynomial by (x - 1) to find the remaining factor. The result is:

[tex]x^3 + 7x^2 + 4x - 12 = (x - 1)(x^2 + 8x + 12)[/tex]

Now, we can further factor the quadratic expression x^2 + 8x + 12. It can be factored as follows:

[tex]x^2 + 8x + 12 = (x + 2)(x + 6)[/tex]

Therefore, the factored form of the polynomial [tex]p(x) = x^3 + 7x^2 + 4x - 12[/tex] is (x - 1)(x + 2)(x + 6).

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The height of the park is 1.1 yards.

We are given that;

Height=16inches

Base=36inches

Now,

The scale factor is the ratio of the corresponding sides of two similar figures. In this case, the scale factor is 90/36 = 2.5, since the base of the park is 2.5 times larger than the base of the model.

To find the height of the park, we can multiply the model height by the scale factor. This gives us:

Height of park=Height of model× Scale factor

Height of park=0.44×2.5

Height of park=1.1

Therefore, by unitary method the answer will be will be 1.1 yards.

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