what’s the volume of the prism?

The number in standard form is 632.058

The number is given as:

Six hundred thirty-one and fifty-eight thousandths

This means:

Six hundred thirty-one + fifty-eight thousandths

Express Six hundred thirty-one as 631

632  + fifty-eight thousandths

Express fifty-eight thousandths as 58/1000

632  + 58/1000

Express as decimal

632  + 0.058

Evaluate the sum

632.058

Hence, the number in standard form is 632.058

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The total pounds of science books that sanya carried is; 6⁷/₈ pounds

From the attached Line Plot, we can see the book weights.

Now, we are told that Sanya carried all the books weighing 2¹/₄ pounds and 2³/₈ pounds.

From the line plot we see that;

Number of books weighing 2¹/₄ pounds are 2 books

Number of books weighing 2³/₈ pounds is 1 book

Thus;

Total weight of books carried by Sanya = 2(2¹/₄) + 1(2³/₈)

Total weight = 4¹/₂ + 2³/₈

Total Weight = 6⁷/₈ pounds

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your answer would be A. 122/27

Answer:

slope= (y2-y1)/x2-x1

Step-by-step explanation:

(-5-(-9))/(-9-(-1))

=-1/2

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

-1/2

Step-by-step explanation:

Slope

[tex] \sf let \: ( - 9, - 5) = (x_1,y_1) \\ \\ \sf ( - 1, - 9) = (x_2,y_2)[/tex]

[tex] \sf Slope(m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Substituting the values

[tex] \sf \implies m = \frac{ - 9 - ( - 5)}{ - 1 - ( - 9)} \\ \\ \\ \sf \implies m = \frac{ - 9 + 5}{ - 1 + 9} \\ \\ \\ \sf \implies m = \frac{ - 4}{8} \\ \\ \\ \sf \implies m = - \frac{1}{2} [/tex]

Answer: irrational number

Step-by-step explanation:

Let us write it out.

      [tex]\displaystyle \frac{23}{\sqrt{3} }[/tex]

Next, we will define ratoinal and irrational.

      A rational number is a number that can be written as a whole number, fraction, or decimal that ends / repeats.

      An irrational number is any number that cannot be turned into a fraction.

Let us see which category the number given falls into.

      [tex]\displaystyle \frac{23}{\sqrt{3} } = 13.27905619\;\;\;\;\;\;\text {it goes on...}[/tex]

This means  [tex]\frac{23}{\sqrt{3} }[/tex] is an irrational number.

Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:

f(x) = (x - 8)² - 6.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence h = 8, k = -6 and considering a = 1 the equation is given as follows:

f(x) = (x - 8)² - 6.

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Answer:

Step-by-step explanation:

Answer:

745.31

Step-by-step explanation:

20x25=500

(2(12.5)pie)/2=245.435

245.435+500=745.31

Answer:

x=86 y=111

Step-by-step explanation:

i think ita right on edmentum it makes sense

We will see that the percentage in which the price decreases is 90%, thus the age is 90 years.

How old is Andrés?

We know that the percentage in which the price decreases is equal to the age of Andrés.

We can write:

P = $4,000 = $40,000*(1 - k)

Where k is the percentage in decimal form.

Solving for k:

k = ($40,000 - $4,000)/$40,000 = 0.9

To obtain the percentage, we multiply by 100%.

0.9*100% = 90%

We conclude that Andrés is 90 years old.

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Answer:

m∠F = 45°

because

Corresponding

Parts of

Congruent

Triangles are

Congruent

Answer:

14/24 is one expression equivalent to 7/12.

Answer:

14/24,21/36,28/48,35/60,42/72,49/84,56/96 are equivalent to 7/12...

An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The table is shown.

The exponential equation is given as

y = abˣ

Then at x = 1, y will be 35. Then we have

35 = ab ...1

Then at x = 2, y will be 245. Then we have

245 = ab² ...2

On solving equations 1 and 2. Then we have

a = 5 and b = 7

Then the exponential function will be

y = 5 (7)ˣ

Then the population after 5 days will be

y = 5 (7)⁵

y = 5 x 16807

y = 84035

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Using the given information, the radius of the sphere to the nearest meter is 13m

From the question, we are to determine the radius of the sphere

Using the formula for calculating the volume of a sphere,

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Where V is the volume

and r is the radius

From the given information,

V = 9198 m³

Then,

[tex]9198 = \frac{4}{3} \times \pi r^{3}[/tex]

[tex]9198 = \frac{4}{3} \times 3.14 \times r^{3}[/tex]

[tex]4 \times 3.14 \times r^{3} = 9198 \times 3[/tex]

[tex]4 \times 3.14 \times r^{3} = 27594[/tex]

[tex]r^{3} = \frac{27594}{4 \times 3.14}[/tex]

[tex]r = \sqrt[3]{\frac{27594}{4\times 3.14} }[/tex]

r = 12.99995 m

r ≅ 13 m

Hence, the radius of the sphere to the nearest meter is 13m.

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Answer:

that 2 out of 20 ratio you have 18 to 1 odds of getting these

Answer:

y=½x-6

Step-by-step explanation:

m= ½

equation of the line: y-y1=m(x-x1)

y+5=½(x-2)

y=½x-6

Answer:

[tex]y =\dfrac{1}{2}x-6[/tex]

Step-by-step explanation:

Point-slope formula

[tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-(-5) & =\dfrac{1}{2}(x-2)\\\\y+5 & =\dfrac{1}{2}x-1\\\\y & =\dfrac{1}{2}x-1-5\\\\y & =\dfrac{1}{2}x-6\end{aligned}[/tex]

Answer:

£15.20

Step-by-step explanation:

butter : sugar : flour = 2 : 1 : 9

Total mass for 1 recipe = 30 g

2 + 1 + 9 = 12

12x = 30

x = 30/12

x = 2.5

For 1 scone:

butter = 2x = 2(2.5) g = 5 g

sugar = x = 2.5 g

flour = 9x = 9(2.5) g = 22.5 g

Cost for 1 scone:

butter: 5 g × £2.50/(500 g) = £0.025

sugar: 2.5 g × £1.60/(1000 g) = £0.004

flour: 22.5 g × £0.6/(1500 g) = £0.009

Cost for 1 recipe = £0.025 + £0.004 + £0.009 = £0.038

Cost for 400 scones = 400 × £0.038 = £15.20

Answer: £15.20

Answer:

hope u understand...........

The relationship between dollars delivered and rand received represents a function.

Corresponds to a mathematical relationship between two variables, x and y, where the set of x values ​​is associated with a y value. Being expressed by the formula:

Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.

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They are written in term of power to the base of a function. The value of n that will make both expression equal is 2/9

They are written in term of power to the base of a function. Given the expression below:

[tex]216^{n-2}=\frac{1}{36}^{3n}[/tex]

This can be further simplified as:

[tex]6^3^{n-2}=(6^{-2})^{3n}\\6^{3n-2}=6^{-6n}[/tex]

Cancel the base to have:

3n-2 = -6n
3n+6n = 2

9n = 2

n = 2/9

Hence the value of n that will make both expression equal is 2/9

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Answer:

270 miles

Step-by-step explanation:

If she drove 120 miles in 2 hours, that means she drives at 60 miles per hour. 4 hours and 30 minutes can be seen as 4.5, since 30 minutes is half an hour. So then you multiply 60 by 4.5 and get 270.

Answer:

12

Step-by-step explanation:

taking a peek at the pyramid, is really just 4 triangles stemming from a common top and touching a squarish base at the edges.

so hmmm to get the surface area of the pyramid, we can simply get the area of all those four triangles and the square and sum them up.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{\textit{four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{4}) \right]}~~ + ~~\stackrel{square}{(10)(10)}}\implies 80~~ + ~~100\implies 180~in^2[/tex]

Answer: All you would do is 3 miles north 4 miles east

Step-by-step explanation:

That is what gogle said lol

Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.

There is no flaw in the steps. Hence, the correct option is A.

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The number of combinations of plays that is possible will be 2.

Let the number of combinations be represented by x.

From the information given, we are informed that the touchdown scores 7 points, a field goal scores 3 points, and a safety scores 2 points.

Therefore, this will be:

7x + 3x + 2x = 24

12x = 24

x = 24/12

x = 2

Therefore, there are 2 combinations.

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Answer: The answer is D. 72 cu ft.

Step-by-step explanation: