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Marianna [84]
3 years ago
10

Factor Completely'''​

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

4x^2(x-2)(x+6)

Step-by-step explanation:

Factor 4x^2

4x^2(x^2)+4x^2(4x)-4x^2(-12)

4x^2(x^2+4x-12)

4x^2(x-2)(x+6)

<em>good luck, hope this helps :)</em>

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Suppose that a​ person's peak blood alcohol level is 0.07 ​(grams per 100​ mL) and that this level decreases by 40​% each hour.
Natalija [7]

Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

a) Using exponential function

f(x) = Ca^x

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

f(x)=0.07(0.6)^x

<h3>Therefore, hourly decay factor is 0.6</h3>

b)

Here the hourly decay factor is 0.6

B(x)=ca^x\\\\0.07(0.6)^x

c) Evaluate

B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g

0.0252g or 100mL

<h3>Thus, after 2 hours the blood is 0.0252g or 100mL</h3>
3 0
3 years ago
Read 2 more answers
A taxi cab charges a flat rate of $3in addition to $1.80 per mile,m, traveled. Jennifer has no more money than $25 to spend on a
PIT_PIT [208]

Answer:

1.80m + 3 ≤ 25

Step-by-step explanation:

We have a flat rate of $3, which means that's the base value. Now, we see that Jennifer has to pay $1.80 per mile, which means that when she has ridden m miles, she has to pay 1.80m. However, remember to add 3 to this:

1.80m + 3

Jennifer only has $25 to spend, so she can't spend any more than 25. This means that the money she can spend must be less than or equal to $25:

1.80m + 3 ≤ 25

Hope this helps!

8 0
3 years ago
Read 2 more answers
I NEED HELP ASAP AND PLEASE GIVE A STEP BY STEP FOR THE EXPLANATION WORTH 15 points
Karolina [17]

Answer:

Step-by-step explanation:

the second one , why? because 7a-12a=-5a

4  - 8 = -4

4 0
2 years ago
a student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 Meters to be 4968 cu
Naya [18.7K]
It is not correct. 

The student found the volume by multiplying the base area with the height. He forgot to divide it by 3.

Formula to find the volume of the pyramid = 1/3 base area x height

volume = 1/3 x 92 x 54 = 1656 square meters 
6 0
3 years ago
Read 2 more answers
Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun
scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
3 years ago
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