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2 years ago

Answer this for me please?

Mathematics

1 answer:

satela [25.4K]2 years ago

6 0

The volume of the rectangular prism is exactly (3/8) of a cubic inch.

<h3>How to get the volume of the rectangular prism?</h3>

Remember that for a rectangular prism of height H, length L, and width W, the volume is:

V = H*L*W

In this case, we have:

H = 1 in
L = (3/4) in
W = (1/2) in.

Then the volume of the rectangular prism is given by:

$V = (1 in)*(\frac{3}{4} in)*(\frac{1}{2} in)= \frac{3}{4*2} in^3 = \frac{3}{8} in^3$

If you want to learn more about volumes, you can read:

brainly.com/question/23963432

#SPJ1

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−15x+4≤109 OR −6x+70>−2minus, 15, x, plus, 4, is less than or equal to, 109, start color #ed5fa6, start text, space, O, R, sp

Tamiku [17]

Answer:

Option E.

Step-by-step explanation:

The given inequalities are

$-15x+4\leq 109$

$-6x+70>-2$

We need to find the solution of given compound inequality.

Solve each inequality separately.

Solve first inequality:

$-15x+4\leq 109$

Subtract 4 from both sides.

$-15x\leq 109-4$

$-15x\leq 105$

Divide both sides by -15. If we multiply or divide an inequality by a negative number, then the sign of inequality is changed.

$x\geq -7$ .... (1)

Solve second inequality:

$-6x+70>-2$

Subtract 70 from both sides.

$-6x>-2-70$

$-6x>-72$

Divide both sides by -6.

$x$ .... (2)

Form (1) and (2) we get

$x\geq -7\text{ or }x$

Therefore, the correct option is E.

4 0

3 years ago

Read 2 more answers

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain also and thanks if anyone answers

Oksana_A [137]

Answer:

The surface area is 48cm^2

Step-by-step explanation:

Given

Dimension: 2cm by 2cm by 5cm

Shape: Rectangular Prism

Required

Determine its Surface Area (A)

This is calculated as thus:

$A = 2(lw + lh + hw)$

Where l, w and h are the dimensions of the given shape:

We can say:

$l = length = 2cm$

$w=width = 2cm$

$h=height=5cm$

So:

$A = 2(2 * 2 + 2 * 5 + 5 * 2)$

$A = 2(4 + 10 + 10)$

$A = 2(24)$

$A = 2 * 24$

$A = 48$

<em>Hence, the surface area is 48cm^2</em>

6 0

3 years ago

The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags

Romashka-Z-Leto [24]

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14 .14x25=3.5 14+3.5=17.5

4 0

3 years ago

F (x) = 2 (x + 1)^2 - 1

Ivenika [448]

Answer:

Equation: y = x²

(-2, 4)
(0, 0)
(2, 4)

Equation: f(x) = 2(x + 1)² - 1

(-2, 1)
(0, 1)
(2, 17)

Step-by-step explanation:

Equation: y = x²

when x = -2, y = (-2)² = 4 ⇒ (-2, 4)
when x = 0, y = (0)² = 0 ⇒ (0, 0)
when x = 2, y = (2)² = 4 ⇒ (2, 4)

Equation: f(x) = 2(x + 1)² - 1

f(-2) = 2(-2 + 1)² - 1

= 2(-1)² - 1

=2(1) - 1

= 1

Therefore, (-2, 1)

f(0) = 2(0 + 1)² - 1

= 2(1)² - 1

=2(1) - 1

= 1

Therefore, (0, 1)

f(2) = 2(2 + 1)² - 1

= 2(3)² - 1

=2(9) - 1

= 17

Therefore, (2, 17)

5 0

3 years ago

A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track

xz_007 [3.2K]

Answer:

The approximate speed of the robot during the 5 seconds is:

<u>6 ft/s</u>

Step-by-step explanation:

To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem: