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The volume of the square base pyramid is 588 ft³

The Volume of the rectangular prism is 120 ft³

The Volume of a rectangular pyramid is 360 ft³

Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

Volume of a square base pyramid = 1 / 3 × B × h

where

B = base area

Therefore,

Volume of a square base pyramid = 1 / 3 × 7² × 12

Volume of a square base pyramid = 1764 / 3 = 588 ft³

Volume of a rectangular prism = lwh

Volume of a rectangular prism =  6 × 5 × 4 = 120 ft³

Volume of a rectangular pyramid = 1 / 3 lwh

Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³

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The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.

The length of the ribbon needed can be determined using the Pythagoras theorem.

The Pythagoras theorem: a² + b² = c²

where

a = length

b = base

c = hypotenuse

√4.5² + 6²

√36 + 20.25 = 7.5 feet

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Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

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Answer:

I think answer C

Step-by-step explanation:

You can display how many toothbrushes were distributed each month on the dot plot :)

Have an amazing day!!

Please rate and mark brainliest!!

equation: 2y = 3x + 15

If cross y-axis, the x will be 0

2y = 3(0) + 15

2y = 15

y = 7.5

crosses y-axis at (0, 7.5)

(b)

P(-1,10), Q(3,4)

(i) gradient:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{4-10}{3--1}[/tex]

[tex]\rightarrow \sf \dfrac{-6}{4}[/tex]

[tex]\rightarrow \sf -1.5[/tex]

(ii) midpoint:

[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (\dfrac{3-1}{2}, \dfrac{4+10}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (1,7)[/tex]

Step-by-step explanation:

a) Perimeter is equal to 2w + 2L

2(3x + 4) + 2(x + 3)

6x + 8 + 2x + 6

8x + 14

b) Put 5 in x's place

8×5 + 14

40 + 14

54

c) Area = (3x + 4) * (x + 3)

Put 4 in x's place

(3×4 + 4) * (4 + 3)

12 + 4 * 7

16 * 7

112

The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.

To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.

Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.

Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.

To compute for the z-score,

we have z-score = (x – μ) / (σ / √n)

where x is the computed/measured value,

μ is the expected mean, σ is the standard deviation,

and n is the number of samples.

Using the information we have,

z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68

In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.

Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.

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Answer:

B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.

Step-by-step explanation:

edg 22, got 100 on unit test

About the minus sign with 16, square root of -1 is an imaginary number i(iota). Also we know that square root of -16 will be multiplication of square root of -1 and square root of 16. So the final answer becomes, + or - 4i. Hope this helps

Answer:

150 cm^2

Step-by-step explanation:

A cube has 6 surfaces

Each surface square = 5 by 5

So.....

5 x 5 (or 25) times 6

25 x 6 = 150

Hope this helps!

Answer:

96

Step-by-step explanation:

L=6

W=2

H=8

LxWxH=8x6x2=96

8x6=48

48x2=96

Answer:

76

Step-by-step explanation:

the answer is 76 because I took the test

Answer:

A line is something that goes on endlessly in both directions. An angle is the number of degrees at a point where two rays meet. We know if an angle is right if there is a right angle that measures up to 90°. An obtuse is any angle that measures over 90° and an acute angle is under 90°. Hope this helps! :)

Step-by-step explanation:

She makes a minimum monthly payment of 62.52 dollars. Then the correct option is B.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

May currently has a balance of $1,817.43 on her credit card.

If she must make a minimum monthly payment of 3.44% of her total balance.

Then the minimum payment will be given as

Minimum payment = 0.0344 × 1817.43

Minimum payment = 62.519 ≅ 62.52

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Answer:

6338.7

Step-by-step explanation:

Answer:

4xy^5√5

Step-by-step explanation:

√80 x √x² x √y^25

=4√5 x x x y^5

= 4√5xy^5

Answer:

  4xy^12√(5y)

Step-by-step explanation:

Squares under the radical can be factored out.

  [tex]\displaystyle \sqrt{80x^2y^{25}}=\sqrt{(4xy^{12})^2\cdot5y}=\boxed{4xy^{12}\sqrt{5y}}[/tex]

_____

Additional comment

Some versions of this question may have different exponents.

The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.

Answer:

divide the number of pages by the time

Step-by-step explanation:

=50/40

=5/4

= 1.25/per minute

‎[tex] \qquad\quad\hookrightarrow{\sf { 1000(e-1)}}[/tex]

[tex] \begin{aligned}&\longrightarrow \int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e ^{x - |x| }dx \\ \\ &\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e^{x - k}dx \\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999}e^{x - k \big |_{k}^ {k + 1}} \\ \\& \longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^ {999}(e - 1)\\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = 1000(e - 1)\end{aligned}[/tex]

The amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the percentage symbol '%'.

Miki, a resident of kyoto, earns an annual salary of ¥6,760,950. The Japanese government levies a 29.12% income tax on miki’s tax bracket.

The amount of tax Miki pay to the government as income tax is,

[tex]I=\dfrac{29.12}{100}\times6760950\\I=1968788.64[/tex]

Miki, earns an annual salary of ¥6,760,950. Thus, her yearly take-home pay after the deduction of income tax is,

[tex]M=6760950-1968788.64\\M=4792161.36\\M\approx4792161[/tex]

Thus, the amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

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Answer:

A

Step-by-step explanation:

:) good luck

Answer:

100 quarters = 2500 cents = $25

500 dimes = 5000 cents = $50

total = $75

Step-by-step explanation:

Answer:

$279

Step-by-step explanation:

10% off $310 is $31

310-31 is 279

Answer: the sale price of the suit is $279 or $31 dollars off

Step-by-step explanation:

$310 x 0.10= $31

$310 - $31= $279

Dimensions : 16 x 20

solving steps:

So we found Width = 16 feet

Length:

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure

Answer:

x= -8,y= -4

Step-by-step explanation:

Substitute x= -8

-6(-8)+9y=12

simplify

48+9y=12

isolate for y

y= -4

The solutions to the system of equations are:

x= -8 and y= -4

Answer:

d

Step-by-step explanation:

so if you look at the bottom left corner you can see 1 box is the same as saying for every second someone walks its one metre.

thats not how i got the answer though.

if you look at the starting point at 8 because she was 8 meters away you need to see when she comes across her first second which after 2 meters (Goes down two squares before reaching the first second)

now technically soe of the other answers are correct too but heres how i thought about it.

A. its correct but i dont think that's what its asking you for tbh

B. This we don't know for sure. eg she could take 890 seconds walking back to her starting point we just don't know for sure.

C. This is also true but once again it's easily given to you so i dont think that's what you're being asked.

D. This is the only option where you had to do any for of working out because s=d/t so s=8/4=2m/s

Answer:

6 carnations

Step-by-step explanation:

0.5x +15 = 3x

x = 6

Answer:

true

Step-by-step explanation:

Answer:

surface area of cylinder is 126cm²

Step-by-step explanation:

Height of a cylinder is 8cm

Radius of a cylinder is 2cm

surface area = ?

surface area of cylinder= 2πr(r + h)

=2×22/7×2(2+8)

=44/7×2(10)

=44/7×20

=880/7

=125.71

A = 2πrh + 2πr² π=3.14

Using the z-distribution, as we are working with a proportion, it is found that the buyers need a sample of 1505.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.

There is no estimate of the percentage, hence [tex]\pi = 0.5[/tex], and the margin of error is of M = 0.03, hence we solve for n to find the desired sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.327(0.5)[/tex]

[tex]\sqrt{n} = \frac{2.327(0.5)}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.327(0.5)}{0.03}\right)^2[/tex]

[tex]n = 1504.2[/tex]

Rounding up, the buyers need a sample of 1505.

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