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Lynna [10]
3 years ago
11

Use factoring to write an expression that is equivalent to 25b^16-64c^2

Mathematics
1 answer:
avanturin [10]3 years ago
4 0
We can write this as the difference of squares:
(5b⁸+8c)(5b⁸-8c)

To write as the difference of squares, take the square root of each term first:
√25b¹⁶ = 5b⁸; √64c² = 8c

Now we write this as a sum in one binomial and a difference in the other:
(5b⁸+8c)(5b⁸-8c)
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Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.
Dima020 [189]

Answer:

14.04 ft^3

Step-by-step explanation:

2.4 ft x 4.5 ft x 1.3 = 14.04 ft^3

6 0
3 years ago
5 ( n - 7 ) = 2 ( n + 14 )
wariber [46]

Answer:

n=21

Step-by-step explanation:

We must find n.

Remember PEMDAS. First we must do the Parentheses. Lets do distributive property by multiplying a number that is immediately outside the parentheses with each number inside the parentheses. Lets do this one side at a time.

First lets do 5(n - 7). We get 5n - 35

Now 2(n + 14) is 2n + 28

Okay...... now we have 5n-35=2n+28

Now lets do OPPOSITES!!!! We must do the opposite of each thing to both sides.

The opposite of -35 is positive 35. Lets add 35 to both sides. We get:

5n=2n+63

Now lets do the opposite of 2n which is -2n

3n=63

this is looking quite nice isnt it..........

The opposite of 3 times n is 3 DIVIDED BY n. So lets divide both sides by 3

n=21

amazing.......

8 0
2 years ago
Read 2 more answers
The mean speed of vehicles along a stretch of highway is 56 mph with a standard deviation of 4 mph. You
Elenna [48]

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

<h3>Z score</h3>

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z=\frac{x-\mu}{\sigma }

Where x is raw score, μ is mean, σ is standard deviation

Given that:

σ = 4, μ = 56, hence

for x = 62:

z=\frac{62-56}{4 } =1.5

for x = 47:

z=\frac{47-56}{4 } =-2.25

for x = 56:

z=\frac{56-56}{4 } =0

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

Find out more on Z score at: brainly.com/question/25638875

4 0
2 years ago
The numbers of beads on 500 handcrafted bead
pashok25 [27]
 <span>The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. 
</span>so....
<span>About 24 necklaces have more than 28 beads. </span>
<span>About 48 necklaces have more than 28 beads. </span>
<span>About 80 necklaces have more than 28 beads. </span>
About 96 necklaces have more than 28 beads<span>

</span> <span>About 80 necklaces have more than 28 beads. 
</span><span>
Z score is 28-24/4=1 
(1-.8413)=0.1587 

500*0.1587=79.35~80

i did this like 2 or 3 years ago .</span>
7 0
3 years ago
Suzie is making granola. she uses almonds,walnuts, and pecans in the ratio of 4:2:5. lilly uses 50 ounces of walnuts. (
patriot [66]
The weight of the almonds would be 100 ounces and the total weight of the granola would be 275 ounces since 50 / 2 = 25 to find out what to multiply the other ones by so you do 4 x 25 = 100 then 5 x 25 = 125 finally add all of it together 125 + 100 + 50 = 275 ounces.
6 0
3 years ago
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