What is the volume of the right prism?

What is the solution to the equation below? Round your answer to two decimal places. 5x = 26

Papessa [141]

The answer is 5.2
$5x = 26 \\ x = \frac{26}{5} = 5.2$
you must have written the equation incorrectly

4 0

3 years ago

Mrs. Crimm signed up to bring two dozen cupcakes for the school bake sale. She made one dozen, but her children ate 3 of the cup

bulgar [2K]

The number of cookies she needs to bake is 4 bc it’s half of 8

7 0

3 years ago

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

topjm [15]

Answer:

the volume of the parallelepiped is = 36

Step-by-step explanation:

given,

P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

PQ = Q - P = (2, 3, 1)

PR = R - P = (2, -3 , 1)

PS = S - P = (0, -2 , 3)

now volume of parallelopiped

[PQ PR PS] = $\begin{bmatrix}2 & 3 &1 \\ 2 & -3 &1 \\ 0 & -2 &3 \end{bmatrix}$

now calculating determinant of the matrix

= 2 (-9+2) - 3 (6-0) + 1 (-4-0)

= -14 - 18 - 4

= -36

hence , the volume of the parallelepiped is = 36

4 0

3 years ago

Please show me step by step how to do this

Stels [109]

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

$p(n) = p_{1}+r\cdot (n-1)$ (1)

Where:

$p_{1}$ - First element of the sequence.

$r$ - Progression rate.

$n$ - Index of the n-th element of the sequence.

$p(n)$ - n-th element of the series.

If we know that $p_{1} = 1$ , $n = 2$ and $p(n) = 5$ , then the progression rate is:

$r = \frac{p(n)-p_{1}}{n-1}$

$r = 4$

The set of elements of the series are described by $p(n) = 1 + 4\cdot (n-1)$ .

Lastly, if we know that $n = 300$ , then the 300th term of the sequence is:

$p(n) = 1 + 4\cdot (n-1)$

$p(n) = 1197$

And the next three terms of the sequence are:

n = 5

$p(n) = 1 + 4\cdot (n-1)$

$p(n) = 17$

n = 6

$p(n) = 1 + 4\cdot (n-1)$

$p(n) = 21$

n = 7

$p(n) = 1 + 4\cdot (n-1)$

$p(n) = 25$

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

8 0

3 years ago

For which pair of functions is (gºf)(a) =la|-2

nikklg [1K]

Answer:

<h2> The third</h2>

Step-by-step explanation:

$(g\circ f)(x) = g\big(f(x)\big)$

so:

$I.\quad (g\circ f)(a)=\sqrt{f(a)}=\sqrt{a^2-4}=\sqrt{(a+2)(a-2)}\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bold{III.\quad (g\circ f)(a)=\sqrt{f(a)-5}-2=\sqrt{5+a^2-5}-2=\sqrt{a^2}-2=|a|-2}\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7$

8 0

3 years ago