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Grace [21]
3 years ago
11

What is the product of (3a 2)(4a2 – 2a 9)?12a3 − 2a 1812a3 6a 912a3 − 6a2 23a 1812a3 2a2 23a 18

Mathematics
2 answers:
timama [110]3 years ago
5 0
To get the product of (3a + 2) and (4a² - 2a + 9), we can apply the rules of distribution over multiplication and have 3a(4a² - 2a + 9) + 2(4a² - 2a + 9) 12a³ - 6a² + 27a + 8a² - 4a + 18 Adding like terms of the same degree, we can simplify it into 12a³ + 2a² + 23a + 18 Therefore, the answer is D<span>. </span>
liq [111]3 years ago
3 0

Answer: D. 12a^3 + 2a^2 + 23a + 18

Step-by-step explanation: This answer is 100% correct for edge.nuity.

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Your monthly living expenses are $1500 on an income of $1,650 per month. Your goal is to have an emergency fund of 4 times your
DochEvi [55]
Your end goal is to have $6000 total in 12 months. since you have $2400 already you can subtract that from 6000 leaving you with $3600 over the course of 12 months. since you already put $150 in a month over the course of 12 months you would have $1800 which is only half of the goal of $3600. in order for you to put in $3600 you would have to put an additional 150 in your savings along with your regular 150 making the answer b.
6 0
3 years ago
Read 2 more answers
An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun
kicyunya [14]

Answer:

10.69

Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

n_water * sin (A_water) = n_air * sin (A_air)

where n is the refractive index, for water it is 1.33 and for air it is 1.

The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

1.33 * sin (A_water) = 1 * 0.387

sin (A_water) = 1 * 0.387 / 1.33

A_water = arc sin (0.2907) = 16.9 °

now for the tank depth:

h = D / tan (A_water)

D = 3.25

Replacing

h = 3.25 / tan 16.9 °

h = 10.69

Therefore the depth is 10.69 meters.

6 0
3 years ago
Need answers ASSAP
ollegr [7]
Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: \pi \approx3.14
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

<span>Calculate the volume of the paint bucket (its formed being cylindrical), we have:
</span>V =  \pi *r^2*h 
V = 3.14 *3.5^2*8 
V = 3.14*12.25*8
\boxed{V = 307.72\:in^3}

<span>What was the total cost of the paint?

</span>price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (<span>directly proportional)
</span>
\frac{0.05}{y} = \frac{1}{307.72}
multiply cross
1*y = 0.05*307.72
y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark

Answer:
<span>the total cost of the paint is $15</span>
7 0
3 years ago
Can you please Help me solve 4c &lt; 28
meriva

Answer:

4c < 28

divide by 4 both sides

x < 7

3 0
3 years ago
The receipt shows the prices of goods that Robert bought at the store.
Vladimir79 [104]

Answer:

4%

Step-by-step explanation : by subtracting the 8 by 4

5 0
3 years ago
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