What is the volume of this rectangular prism?
3 units
1 cubic unit
3 units

Answer:

[tex]3 y - 3 z[/tex]

Step-by-step explanation:

[tex]-(z-y+2x)-2(-x-y+z)[/tex]

[tex]-z+y-2x+2x+2y-2z[/tex]

Group similar terms together

[tex]-2x+2x+y+2y-2z-z[/tex]

adding similar terms

[tex]3 y - 3 z[/tex]

Answer:

[tex]x = \frac{10}{13} [/tex]

Answer:

The figure shown is rhombus.

Answer:

-22 + (-16)= -38

Step-by-step explanation:

Answer

-38

Explanation

This is the expression given.

-22+(-16)

Adding a negative number to something is the same thing as subtracting the number.

-22-16

To subtract two negative numbers, you are technically adding the numbers and putting a negative sign.

22+16=38

And put a negative sign in front of that.

So the answer would be -38.

Answer:

which one?

Step-by-step explanation:

Answer:

Question 13: 2

Question 14: -10

Step-by-step explanation:

Answer:

it's Exponential .......

Answer:

17 science kits, if this worked press the thanks sign! c:

Step-by-step explanation:

Answer:

1. wavelength

2.trough

3.node

4.peak

Step-by-step explanation:

Answer:

2 and 9

Step-by-step explanation:

Answer:

Each child ticket costs £2

Each adult ticket costs £5

Step-by-step explanation:

Let's define:

C = cost of a child ticket

A = cost of an adult ticket.

We know that:

"3 adult and 4 child tickets cost £23"

This can be written as:

3*A + 4*C = £23

"1 adult and 5 child tickets cost £15"

This can be written as:

1*A + 5*C = £15

Then we have the system of equations:

3*A + 4*C = £23

1*A + 5*C =  £15

To solve it, we start by isolating one of the variables in one of the equations:

Let's isolate A in the second equation:

A = £15 - 5*C

Now let's replace this in the first equation:

3*( £15 - 5*C) + 4*C = £23

Let's solve this for C

£45 - 15*C + 4*C = £23

£45 - 11*C =  £23

£45 - £23 = 11*C

£22 = 11*C

£22/11 = £2 = C

Each child ticket costs £2

And with the equation:

A = £15 - 5*C we can find the price of an adult ticket if we replace the value of C by £2

A = £15 - 5*£2 = £5

Each adult ticket costs £5

Answer:

D.

Step-by-step explanation:

You just convert it :)

Let's take this problem step-by-step:

            ⇒ thus we move the whole thing to the denominator

                     [tex]x^{-\frac{5}{3} } =\frac{1}{x^{\frac{5}{3} } }[/tex]

           ⇒ '3' which is on the denominator of the fraction

               ⇒represents the '3rd' root of x or the cubic root of x

           ⇒ 5 which is the numerator of the fraction is

               ⇒represents the 5th power of x or x to the power of 5

            Result: [tex]\frac{1}{\sqrt[3]{x^5} }[/tex]

Answer: The second choice or  [tex]\frac{1}{\sqrt[3]{x^5} }[/tex]

Hope that helps!

p.s. look at the diagram I attached so that you can have better understandings of how to solve problems like these

Answer:

nth term =  2n^2

Step-by-step explanation:

The computation of the nth term of the quadratic sequence is as follows;

The given sequence is 2,8,18,32,50

Now

The first term, n = 1 = 2 × 1 × 1 = 2

Second term, n =2 = 2 × 2 × 2 = 8

Third, n =3  = 2 × 3 × 3 = 18

fourth term, n = 4,  = 2 × 4 × 4 = 32

fifth term, n =5,  = 2 × 5 × 5 = 50

Now finally  For nth term,  =  2  × n × n = 2n^2

Therefore nth term =  2n^2

Answer:

3

Step-by-step explanation:

I believe it is 3 because you are multiplying each number by 3 to get your bigger shape

Answer:

y = -3x - 6

Step-by-step explanation:

y + 2 = -3x - 4

y = -3x - 6

Answer:

[tex] \huge \boxed {slope = - 3}[/tex]

Step-by-step explanation:

[tex]m = \frac{rise}{run} [/tex]

The slope is the change of y over the change of x.

[tex]m = \frac{12 - 3}{ - 1 - 2} \\ m = \frac{9}{ - 3} \\ m = - \frac{9}{3} \\ m = - 3[/tex]

Therefore, the slope is -3.

Answer:

X= -7

Step-by-step explanation:

-25 + 8x +20 = -61

8x  -5 = -61

8x = -56

x = -7

Answer:

Step-by-step explanation:

Cost of the job comprises of one of fee and hourly charge. Given:

Let C be the total cost, then required equation is:

Answer:

25t+75=cost of job

Step-by-step explanation:

Answer:

what you need help with?

Step-by-step explanation:

Step-by-step explanation:

7/6

[tex]1 \frac{1}{6} [/tex]

16/15

[tex]1 \frac{1}{15} [/tex]

20/17

[tex]1 \frac{3}{17} [/tex]

Answer:

Step-by-step explanation:

1. When changing from improper fractions to mixed fractions, you have to divide the denomenator by the numerator and that is 7÷6 which should give you 1 remainder 1. Therefore ypur mixed fraction is 1 whole number 1/6.

2. 20/17 = 20 dividing 17 (20÷17)

Which is 1 whole number 3/17

3. Now the third too is 16/15 which is 16 dividing 15 (16÷15).

Therefore your answer is 1 whole number 1/15.

But in order to be sure of your answers, you will have to multiple the denomenator by the whole number plus the numerator.

Answer:

y = 43, z = 16

Step-by-step explanation:

congruent essentially means they're the same. If you mentally map one triangle onto the other, you'll see that 43, the hypotenuse, lines up with y, and 16 lines up with z.

Answer:

80

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

I think all angles are 180°

so 60 +40 = 100

180 - 100 = 80

Answer:

c)462m

Step-by-step explanation:

If a person walks round the park, the person would be walking the whole perimeter of the trail

Perimeter = 2 x (length + breadth)

2 x (30m + 47m) = 154m

If he walks three times, the distance covered = 154m x 3 = 462m

Answer: B

Step-by-step explanation: Divide the number of pizzas (3) by the fraction each friend will get (¾ or 0.75), which gives you the answer 4.

3÷0.75=4

Answer:

2x - 3 = b

Step-by-step explanation:

x is the no. of pokemon cards

Answer:

options? or answer choices?

Step-by-step explanation:

Answer: 66 weeks

Step-by-step explanation:

It will take approximately 3 weeks for the business to reach 75% awareness.

The compound annual growth rate (CAGR) is the annualized average rate of revenue growth between two given years, assuming growth takes place at an exponentially compounded rate.

here, we have,

To solve this problem, we can use the formula for compound growth:

E = B x (1 + R)^T

where E is the ending value (75% awareness in this case),

B is the beginning value (3% awareness),

R is the rate of growth (5%),

and T is the amount of time.

We can rearrange the formula to solve for T:

T = log(E/B) / log(1+R).

Plugging in the values from the problem, we get:

T = log(75/3) / log(1+5)

Calculating this out, we get:

T = 3.49 / 1.61

This simplifies to T = 2.16.

Since T represents the amount of time, we can round this up to 3 weeks. Therefore, it will take approximately 3 weeks for the business to reach 75% awareness.

Learn more about Compound Growth here:

brainly.com/question/27252705

#SPJ6

Answer: General equation of direct variation: y = kx, where k is the constant of proportionality. y = 5x, so 5 is the constant of proportionality

Step-by-step explanation: Hope this helps