A rectangular prism has a base area of 14 in², and a height of 7 inches. What is the volume of the prism?

Enter your answer in the box.

Answer:

Letter T  YOU FOLD IT AND GET THE LETTER T THATS WHY

Answer:

The Letter "T"

Step-by-step explanation:

Imagine it as a 3d figure folding,

I drew it for you

Answer: 4

Step-by-step explanation:

1+1=2 but  if it is 2+2 then it would = 4

Answer:

10 is B and D

9 is B,C, and D

There are 87 possible outcomes that contain at least three heads when a coin is flipped 9 times.

When a coin is flipped nine times, there are 512 possible outcomes, or 29. Using the equation:

P (At least one head) = 1 - 0.5n,

where n is the total number of flips, we can determine the number of outcomes that contain at least three heads.

Therefore, P (At least three heads) = 1 - P (No heads) - P (One head) - P (Two heads)

= 1 - (0.5)⁹ - 9(0.5)⁹ + 36(0.5)⁹

= 0.1718751.

The formula used to calculate the number of possible outcomes that contain at least three heads is C(9,3) + C(9,4) + C(9,5) + C(9,6) + C(9,7) + C(9,8) + C(9,9),

where C(n,r) denotes the variety of options for selecting item(s) r from a set of item(s) n.

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To determine the ratio of the heights of two similar pentagonal prisms with a volume ratio of 27:125, we need to consider the relationship between the volumes and dimensions of similar prisms. Since the prisms are similar, their corresponding linear dimensions (height, width, and length) have the same ratio.

Let's denote the ratio of their heights as h₁ : h₂. The volume ratio can be expressed as:

(Volume of Prism 1) / (Volume of Prism 2) = 27/125

For a prism, the volume can be calculated as:

Volume = Base Area × Height

Since the prisms are similar, the ratio of their base areas is the square of the ratio of their linear dimensions. Therefore, the ratio of their base areas is (h₁/h₂)².

Now, we can express the volume ratio in terms of their heights:

(h₁ × Base Area 1) / (h₂ × Base Area 2) = 27/125

Since the base areas are proportional, we can substitute the base area ratio with the height ratio squared:

(h₁ × (h₁/h₂)²) / h₂ = 27/125

We can cancel out one h₁ from both the numerator and denominator:

(h₁/h₂)² = 27/125

Now, take the square root of both sides to find the height ratio:

h₁/h₂ = √(27/125) = √(3³/5³) = 3/5

So, the ratio of their heights is 3:5.

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Answer:

Sum of angles in a triangle add up to 180°.

x = 180 - 64 - 40

= 76°

Answer:

the final result is  6xy2 - 7x + 3y

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Most of the time, if a graph passes through the origin it is a proportional relationship!

Answer:

LALLALA IS

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

total number of students = 15

students that chose choir as their favourite class= 5

P(choir)= 5/15 = 1/3

Answer:

4x^2+12x+9

Step-by-step explanation:

(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9

Answer:

Here,

Given:

Area of a square- 264 sq. cm

To find:

1. The length ( side)

2.Perimeter.

Solution :

Now,

Let the side of the square be x cm.

according to the formula for finding the area of a square:

Area= side× side

264= x× x

264= x^2

√264= x

16.2481= x

16.25= x

hence,

Length= side= 16.25 cm.

Now,

Perimeter of a square:

= 4× side

= 4× 16.25

= 65

Hence,

perimeter of the square= 65 cm

Step-by-step explanation:

I hope I helped you

The length of the rectangle shaped sticker of stated dimensions is 8 centimetres.

Rectangle is the four shaped structure with two parallel sides. The area of rectangle is given by the formula -

Area of rectangle = length of the rectangle × breadth of the rectangle

Keep the values in formula to find the value of length of rectangle

56 = length × 7

Rewriting the equation in terms of length to find its value

Length = 56/7

Performing division on Right Hand Side of the equation

Length = 8 cm

Hence, the length of rectangle is 8 centimetres.

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After eight leaps, there is a 0.3828 percent chance that the bug will still be within three units of where it started.

a. To return to the origin after eight jumps, the bug must take an equal number of left and right jumps. Since there are \(2^8=256\) possible sequences of eight left/right jumps, we need to count how many of these sequences have an equal number of left and right jumps. To do this, we can use the binomial coefficient:

\(C(8,4) = 8! / (4! * 4!) = 70\)

This counts the number of ways to choose 4 out of 8 jumps to be leftward, with the other 4 jumps being rightward. Therefore, the probability of returning to the origin after eight jumps is:

\(P(return to origin) = 70 / 256 = 0.2734\)

b. To be within three units of the origin after eight jumps, the bug must take at most three more rightward than leftward jumps or three more leftward than rightward jumps. We can compute the probabilities of each of these cases separately and add them up. Let's first consider the case where there are three more rightward jumps than leftward jumps. To count the number of such sequences, we can choose three out of the eight jumps to be leftward, with the other five jumps being rightward. Therefore, the probability of this case is:

P(3 more rightward) = C(8,3) / 256 = 0.1094

Similarly, the probability of having three more leftward jumps than rightward jumps is also 0.1094. To count the number of sequences where there are two more rightward jumps than leftward jumps, we can choose two out of the eight jumps to be leftward, with the other six jumps being rightward. There are also C(8,2) sequences with two more leftward jumps than rightward jumps. Therefore, the probability of being within three units of the origin after eight jumps is:

\(P(within 3 units) = 2 * 0.1094 + 2 * C(8,2) / 256 = 0.3828\)

Therefore, the probability that the bug is within three units of the point of departure after eight jumps is 0.3828.

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Answer:

12

Step-by-step explanation:

w+z(3x-2y)

3+(-2)(3*2-2*-4)

3-2(6+6)

3-2(12)

12

To find two 2x2 matrices aa and bb such that ab=0ab=0 but ba≠0, we need to follow certain steps. First, we need to understand the concept of matrix multiplication and how it works.

In matrix multiplication, two matrices can be multiplied only if the number of columns of the first matrix is equal to the number of rows of the second matrix. In our case, we are looking for two 2x2 matrices that satisfy the given condition.

Let's take the following two matrices:

A = [1 0; 0 0]
B = [0 0; 1 0]

Multiplying these matrices, we get:

AB = [1 0; 0 0] * [0 0; 1 0] = [0 0; 0 0]

Here, we can see that AB=0AB=0.

Now, let's try to find the product of matrices BA.

BA = [0 0; 1 0] * [1 0; 0 0] = [0 0; 1 0]

Here, we can see that BA≠0BA≠0.

Hence, we have found two 2x2 matrices aa and bb such that ab=0ab=0 but ba≠0.

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Given the quadratic equation, f(x) = 3x² + 8x + 8, the y-coordinate of the vertex can be found by using the formula:y = -b/2a, where a = coefficient of x² = 3 and b = coefficient of x = 8Therefore, substituting the values of a and b, we get:y = -8/2(3) = -8/6 = -1.333 (rounded off to 3 decimal places)Hence, the y-coordinate of the vertex is -1.333.

The vertex of the quadratic equation f(x) = 3x² + 8x + 8 has a y-coordinate of -4.

The vertex of a quadratic equation in the form f(x) = ax² + bx + c can be found using the formula x = -b / (2a) and substituting the value of x into the equation to find the corresponding y-coordinate.

In this case, the equation f(x) = 3x² + 8x + 8 has coefficients a = 3, b = 8, and c = 8. By applying the formula, we have x = -8 / (2 * 3) = -4/3. Substituting this value of x into the equation gives f(-4/3) = 3(-4/3)² + 8(-4/3) + 8 = -4.

Therefore, the y-coordinate of the vertex of the quadratic equation f(x) = 3x² + 8x + 8 is -4.

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Answer:

A'(3, 0)

B'(6, -1)

C'(2, -3)

Answer:

Step 3:

Explanation:

Step 3 is incorrect because we actually need to divide both sides by -8

but instead, we have divided the equation by -8x.

Answer:

\(V = \dfrac{640}{3} \text{ ft}^3\)   OR   \(213\, \dfrac{1}{3} \text{ ft}^3\)

Step-by-step explanation:

The formula for the volume of a pyramid is:

\(V = \dfrac{1}{3} \cdot A_{\text{base}} \cdot h\)

First, we can find the area of the pyramid's base, which is a square.

\(A_{\text{square}} = (\text{side length})^2\)

\(A_{\text{base}} = (8 \text{ ft})^2\)

\(A_{\text{base}} = 8 \text{ ft} \cdot 8 \text{ ft}\)

\(A_{\text{base}} = 64 \text{ ft}^2\)

Then, we can plug that value into the above volume formula along with the height shown in the diagram.

\(V = \dfrac{1}{3} \cdot A_{\text{base}} \cdot h\)

\(V = \dfrac{1}{3} \cdot 64\text{ ft}^2 \cdot 10\text{ ft}\)

\(V = \dfrac{64}{3} \text{ ft}^2 \cdot 10 \text{ ft}\)

\(\boxed{V = \dfrac{640}{3} \text{ ft}^3}\)

\(\boxed{V=213\, \dfrac{1}{3} \text{ ft}^3}\)

168 is  the largest number of stamps that Jenna could be putting on each page

What is the Greatest Common Factor?

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

So the largest number of stamps that Jenna could be putting on each page

would be gcd of 1008 and 840.

840 = 2 x 2 x 2 x 3 x 5 x 7

1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7.

∴ The Gcd = 2 x 2 x 2 x 3 x 7 = 168.

Hence 168 is  the largest number of stamps that Jenna could be putting on each page

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Answer:

its B.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

4 - (x + 2) - 7 = x - 9

4 - x - 2 - 7 = x - 9

-5 = 2x - 9

4 = 2x

x = 2

Please don't report me if I am wrong :(

x=2!

I think you asked: Solve for x: 4 − (x + 2) −7

The answer is x=2

Let's simplify step-by-step.

4−(x+2)−7

=4+−x+−2+−7

Combine Like Terms:

=4+−x+−2+−7

=(−x)+(4+−2+−7)

=−x+−5

That is the simplified answer. If you think carefully, I think x=2

The number of extra men required to erect 2 additional cottages is; 5 men

Let us use;

M = men

D = Days

C = Cottages

Thus;

5M * 21D = 2C

105MD = 2C

To erect 2 cottages in 21days, 5 men are required

To erect 2 more cottages or 4 cottages in 21 days;

(4 * 5)/2 = 10 men

Thus, we conclude that is the number of men required to erect 2 additional cottages which is 5 extra men

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The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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Answer:

-8.

Step-by-step explanation:

-7x - 1 = -9x - 17

-7x - (-9x) = -17 - (-1)

-7x + 9x = -17 + 1

2x = -16

x = -8.

Trina should buy the $6 packages to get 24 necklaces for the least price as calculated by using multiplication and division.

From the attached table let us calculate the cost of buying necklaces in the various packages by using multiplication and division.

For the $4 package:

Number of necklaces in the package = 3

Number of packages Trina should buy (division used) = 24 ÷ 3 = 8

Cost of 8 packages =$ 4 × 8 = $ 32

For the $5 package:

Number of necklaces in the package = 4

Number of packages Trina should buy(division used) = 24 ÷ 4 = 6

Cost of 8 packages =$ 5 × 6 = $ 30

For the $6 package:

Number of necklaces in the package = 6

Number of packages Trina should buy(division used) = 24 ÷ 6 = 4

Cost of 8 packages =$ 6 × 4 = $ 24

Therefore buying the $24 package is the cheapest.

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Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

Answer:50km hope that helped pls mark me brainliest :))

The solution to solving for e in the equation is: e = 2/(x + c).

If we are given an equation whereby we are asked to solve the equation for the variable, all we need to do is to apply the necessary properties of equality to isolate the variable to one side of the equation.

Given the equation, e(x + c) = 2, solve as shown below:

e(x + c) = 2 [given]

Divide both sides by (x + c):

e(x + c) / (x + c) = 2 / (x + c) [division property of equality]

e = 2 / (x + c)

We have successfully isolated variable e to one side of the equation, therefore, the answer to solving the equation for e, is:

e = 2/(x + c)

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Answer:

0.15 expressed as a fraction in its simplest form is 3/20.

Step-by-step explanation:

To express a terminating decimal as a fraction:

Write the decimal as a fraction by dividing it by 1:

\(\boxed{\dfrac{0.15}{1}}\)

Multiply the numerator and denominator by 10 for every number after the decimal point.

As there are two numbers after the decimal point, multiply the numerator and denominator by 100:

\(\boxed{\dfrac{0.15 \times 100}{1 \times 100}=\dfrac{15}{100}}\)

Find the highest common factor (HCF) of the numerator and denominator.

Therefore, the HCF of 15 and 100 is 5.

Divide the numerator and denominator by the HCF to reduce the fraction to its simplest form:

\(\boxed{\dfrac{15 \div 5}{100 \div 5}=\dfrac{3}{20}}\)

0.15 expressed as a fraction in its simplest form is 3/20.

Answer:

See below, please.

Step-by-step explanation: