what is the volume of the rectangular prism?

Answer:

f(8)= -16 + 6

Step-by-step explanation:

f(x) = -2x + 6(4-3)

f is a function. In this case, a function of variable x. So wherever x is written, swap it by the variable of a number which is 8.

Answer:

14.26

Step-by-step explanation:

7/3 x 5/3 x 11/3 = 7(5)11/(3³)

35 x 11 = 385/27

385 / 27 = 14.26

Answer:

t = 2

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

[tex]log_{4}[/tex] (7t + 2) = 2 , then

7t + 2 = 4² = 16 ( subtract 2 from both sides )

7t = 14 ( divide both sides by 7 )

t = 2

Answer:

t = - 4/13

Step-by-step explanation:

[tex]\pi r^{2}[/tex]Answer:

You must know the radius but...

Step-by-step explanation:

The formula to find volume of a cylinder is: B*h

B= area of base

h=height

To find the area of the base you need to know the radius since the formula to find area of a circle is: [tex]\pi r^{2}[/tex]

Once you find the area of the base you just multiply it by the height

Answer:

15 and 4

Step-by-step explanation:

we must first find the Factors:

1,    2,    3,   4,    5

60, 30, 20,  15,  12

Now we can add them to find what adds to 19

1+60 = 61

2+30 = 32

3+20 = 23

4+15 = 19

Answer:

The answer to 30*120 is 3,600

Answer:

30 times 120 equals 3600

Step-by-step explanation:

One thing that is really easy to use to multiply is a calculator (either online or a hand-held one). But here is how you can multiply without a calculator...

Set up an equation on a piece of paper like how it is shown right below...

  30

x 120

Then, times the last digit (so the zero) of the bottom number. (But it doesn't really matter what order you put them in). Then, times it by the last digit of the top number. So that would equal 0! So as shown below, you would put the answer like so...

  30

x 120

      0

Then, you do 0 (last digit of bottom number) times 3 (you keep going left of the top number's digits). So that would also equal 0.

   30

x 120

   00

     0

Then you add a zero below, since we are now moving on to the next number to the left of the last digit of the bottom number (hopefully this is making sense). Then you do the exact same thing.

   30

x 120

   00

 600

Now that we're done with that, we add two zeros this time, since we are in the hundreds now. So it is to the next number now! (1) And then we do the exact same thing again!

   30

x 120

   00

 600

3000

Alright, that's done! Now we add all those answers together (0+600+3000)

And that gives us our answer! 3600!

Hopefully that made sense! :)

Answer:

Step-by-step explanation:

Given

Find [tex]a_{43}[/tex]

We know that

Appy this to the two known terms and find the first term and the common difference

Find the coomon difference

Find the first term

Now find the 43th term

Answer:

-98

Step-by-step explanation:

General form of an arithmetic sequence:

  [tex]a_n=a+(n-1)d[/tex]

where:

Given:

To find the 43rd term we need to construct an equation for the nth term.  To do this, find the first term and the common difference by substituting the given information into the general formula to create a system of equations that can be solved.

[tex]\begin{aligned} \underline{\textsf{Equation 1}}} \\ a_{21} & =-32 \\ \implies a+(20-1)d & = -32 \\a+20d & =-32 \end{aligned}[/tex]

[tex]\begin{aligned} \underline{\textsf{Equation 2}}} \\ a_{50} & =-119 \\ \implies a+(50-1)d & = -119 \\a+49d & =-119 \end{aligned}[/tex]

Subtract Equation 1 from Equation 2 to eliminate a:

[tex]\begin{array}{r l}a+49d & = -119\\- \quad a+20d & = -32\\\cline{1-2}29d & = -87\end{aligned}[/tex]

Solve for d:

[tex]\implies d=\dfrac{-87}{29}=-3[/tex]

Substitute the found value of d into one of the equations and solve for a:

[tex]\implies a + 20(-3)=-32[/tex]

[tex]\implies a=28[/tex]

Substitute the found values of a and d into the general formula to create an equation for the nth term:

[tex]\implies a_n=28+(n-1)(-3)[/tex]

[tex]\implies a_n=31-3n[/tex]

Finally, substitute n = 43 into the found formula to find the 43rd term of the sequence:

[tex]\implies a_{43}=31-3(43)=-98[/tex]

Learn more about arithmetic sequences here:

https://brainly.com/question/27806372

https://brainly.com/question/27783089

Answer:

1.35 to nearest whloe ounce

Answer: $6.48

Step-by-step explanation:

1.60 * 0.1 = $0.16

1.60 - 0.16 = $1.44

1.44 * 4.5 = $6.48

Answer:

cylinder

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use pythogeream theroem:

Explanation in image attached :)

Check the picture below.

[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=29\\ h=48\\ V=5568 \end{cases}\implies \begin{array}{llll} 5568=(29)w(48)\implies \cfrac{5568}{(29)(48)}=w \\\\\\ 4=w \end{array}[/tex]

Add 12 to the current age:

Y = 15 + 12

Answer:

y=15x12

Step-by-step explanation:

Region A is the region that represents the graph of the feasible region

For the given constraints

y ≥ 2x x y ≤ 14 y ≥ 1 5x y ≥ 14 x y ≥ 9

Let's look to the graph to answer the question

y ≥ 2x represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line

The solution is in the A region

x + y ≤ 14 represented by the line shown in figure

The sign of inequality is smaller than, then the shaded part will

be under the line

The solution is in A or B or C regions

y ≥ 1 represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line.

The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

inequality means in the equation

The solution is in A or B or C regions

5x + y ≥ 14 represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line

The solution is in A or B or C regions

x + y ≥ 9 represented by the line shown in figure

The sign of inequality is greater than, then the shaded part will

be over the line

The solution is in A or B regions

From all the above the common region in the five inequalities is A

Region A is the region that represents the graph of the feasible region

for the given constraints.

To learn more about the inequality visit:

https://brainly.com/question/24372553

Answer:

A

Step-by-step explanation:

The Answer is A on Edge as of 2022

x=2

Hope it helps.

Do comment if you have any query.

Answer:

I think

Step-by-step explanation:

25x9

is 225

which should be it

Answer:

33.

Step-by-step explanation:

Arithmetic sequence with a1 = 5 and d = 2.

nth term = a1 + d(n - 1), so

15th term = 5 + 2(15 - 1)

=  5 + 2*14

= 33.

$2,940.00

Yw and pls mark me brainiest

2u+14

hope it helps...!!!

Answer: 41.

Step-by-step explanation: To find the mean of a data set, you first need to add all the numbers together.  It should look like this:

28 + 40 + 53 + 39 + 45 = 205.

The next step is to divide 205 by how many numbers you have in the data set.  In this case, you have 5 numbers in the data set.  Your work should look like this:

205 / 5 = 41.

Therefore, the mean of the data set is 41.

Hope this helps! :)

Answer:

75

Step-by-step explanation:

15/12

there are 1.25 boys for every girl in the gaming club

60*1.25=75

Answer:

280 in ^2

Step-by-step explanation:

Hi ok heres how I did this:

SA of rectangular prism: S = 2(lw + lh + wh)

SA of triangle top thing(whats it called???): Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

So basically for the square part, the surface area is

2(4*4+4*12+4*12), or 224

For the triangle part, the surface area is

4+4+4, or 12*4+2*4, or 48+8, or  56

224+56=280

The thing is I don't know why it says round though. Theres a chance its incorrect if they want something with a decimal. Let me know.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The range for the given function is ~

[tex]\qquad \tt \dashrightarrow \: - 6 \leqslant y \leqslant 9[/tex]

Because, maximum value of y is 9 and minimum value is -6. so range lies between these two points (including them).

Answer:

Card 9: 62.8 Card 10: 235.5 Card 11: 79.94 Card 12: 230.79

Step-by-step explanation:

Answer:

5 : 7

Step-by-step explanation:

First figure  surface    a * a * 6  = 6 a^2

  now scale the dimesion by x

      ax * ax * 6 =  6 a^2 x^2

                        =  150 x^2   = 294

                           x^2 = 294/150

                            x = 7 : 5      is th ratio of the larger to the smaller