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LiRa [457]
3 years ago
5

Factor the expression. 8g^3+10g^2-12g-15

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

Step-by-step explanation:

8g^{3} + 10g^{2} - 12g - 15

2g^{2}(4g + 5) - 3(4g + 5)

(2g^{2} - 3)(4g + 5)

(g - \frac{\sqrt{6}}{2})(g + \frac{\sqrt{6}}{2})(4g + 5)

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a 5-liter cleaning solution contains 30% bleach. a 3-liter cleaning solution contains 50% bleach. what percent of bleach obtaine
vladimir1956 [14]

Answer:

First find the 30% of 5-liter cleaning solution.

3/10*5L=1.5L

We know 50% of 3L is 1.5.

If we add, the two bleach percentages, we get 3L of bleach.

When we add the two containers of cleaning solution, we get 8L.

The percentage of bleach in the mixture will be the ratio 3/8 expressed as a %.

3/8*100=37.5% of the cleaning solution will be bleach.

Answer: 37.5%

4 0
3 years ago
A Boston subway train traveling at constant speed traveled 10.1 miles in half an hour. What was the speed of the subway train? m
viva [34]

Answer: 20.2 mph

Step-by-step explanation:

Given

Train travels 10.1 miles in half an hour i.e.

Distance d=10.1\ \text{miles}

time t=0.5\ hr

we know, \text{distance=speed}\times\text{time}

Insert the values

\Rightarrow 10.1=v\times 0.5\\\Rightarrow v=20.2\ mph

6 0
3 years ago
A movie theater offers popcorn in two different containers for the same price. One container is a trapezoidal prism with a base
g100num [7]

Answer:

Triangular prism is better deal as the volume of triangular prism is greater.

Step-by-step explanation:

Consider the provided information.

The volume of prism is: V=Bh

Where B is the base area and h is the height of the prism.

It is given that the trapezoidal prism with a base area of 33 square inches and a height of 4 inches.

The volume of the trapezoidal prism is:

V=33(4)\\V=132

Hence, the volume of trapezoidal prism is 132 in³.

Now calculate the volume of triangular prism with a base area of 34 square inches and a height of 5 inches.

The volume of the triangular prism is:

V=34(5)\\V=170

Hence, the volume of the triangular prism is 170 in³.

Triangular prism is better deal as the volume of triangular prism is greater.

5 0
3 years ago
Santiago walked 500 m
N76 [4]

Answer:

500 X 7 = 3500, 3500m = 3.5 km

She walked 3.5 km in 1 week.

7 0
3 years ago
100 points please hurry!!
tigry1 [53]

Answer:

A. The kinetic energy is quartered.

Step-by-step explanation:

The kinetic energy is quartered.

6 0
3 years ago
Read 2 more answers
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