What is the surface area of this triangular prism?<br> 6.5 ft<br> 6 ft-<br> 11 ft<br> 5 ft

Markus receives the same amount of money from his grandfather

Ber [7]

5 x 1 = 5
5 x 2 = 10
5 x 3 = 15

5 x 7 = 35

7 0

3 years ago

Match each addition operation to the correct sum. 131.87 -23.24

konstantin123 [22]

Answer:

131.87-23.24=108.63

Step-by-step explanation:

To solve this problem, let's line up the problem. To make it easier, we can start by ignoring the decimals.

13187

- 2324

______

10863

And then, since there were decimals in the first place, we have to add them back in.

10863→108.63

6 0

3 years ago

What is the inverse of cube root x/3 +1

Ostrovityanka [42]

Answer:

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

Step-by-step explanation:

We want to find the inverse of

$y = \sqrt[3]{ \frac{x}{3} + 1}$

We interchange x and y to get:

$x= \sqrt[3]{ \frac{y}{3} + 1}$

We solve for y;

${x}^{2} = \frac{y}{3} + 1$

Multiply through by 3

$3 {x}^{2} = y + 3$

Subtract 1 from both sides:

$y = 3 {x}^{2} - 3$

Therefore the inverse is

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

8 0

3 years ago

Which is an equation of the line that passes

yan [13]

Answer:

y=1/2x+6

Step-by-step explanation:

Lines that are parallel will have the same slope, so the slope will remain 1/2. However, the y-intercepts can't be the same because then they will overlap each other instead. So we must solve for the missing y-intercept in this case:

y = 1/2x + b

4 = 1/2(-4) + b

4 = -2 + b

6 = b

b = 6

Since the y-intercept is b=6, then the equation of the line that passes through the point (-4,4) and is parallel to the line y=1/2x-4 is y=1/2x+6

3 0

3 years ago

The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

Elena-2011 [213]

9514 1404 393

Answer:

zeros: t = 1, t = -1/2
no: the domain of the function is t ≥ 0
8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

1 -t = 0 ⇒ t = 1

8 +16t = 0 ⇒ t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

7 0

3 years ago

What is the surface area of this triangular prism? 6.5 ft 6 ft- 11 ft 5 ft