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aleksklad [387]

3 years ago

10

A right rectangular prism is packed with cubes of side length 1/2 inch. If the prism is packed with 5 cubes along the length, 3

cubes along the width, and 6 cubes along the height, what is the volume of the prism?
A 3 3/4 cubic inches
B 7 cubic inches
C 11 1/4 cubic inches
D 24 cubic inches

1 answer:

lesya [120]3 years ago

6 0

The answer is C 11 1/4 or 11.25 Cubic inches

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Step-by-step explanation:

Using vector method to solve it

Resultant can be given by

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This is quite a unique question but I think the time taken is 36

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Write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2

sergey [27]

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$\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond$

Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond$

<u>Point-slope form</u>:-

$\sf{y-y_1=m(x-x_1)}$

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

$\sf{y-1=2(x-0)}$

So we conclude that Option B is correct.

<h3>Good luck.</h3>

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3 0

2 years ago

Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

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7 0

3 years ago