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stepan [7]
2 years ago
12

FACTOR OUT THE GCF: 6d^5-10d^2

Mathematics
1 answer:
Ainat [17]2 years ago
8 0

Answer:

GCF: 2d²

Step-by-step explanation:

Write out all the factors of 6:

   6

-----------

6       1

3       2

Write all the factors of 10:

     10

--------------

10        1

5         2

The GFC of both of those numbers is 2.

Since both numbers have a variable of d, and since they both have exponents, you can multiply both numbers by d², because there is at least one d² in each variable.

Your full answer would be: 2d²(3d³ - 5)

If you use foil, remember you don't multiply exponents, you add them.

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In a metal fabrication​ process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n
Leto [7]

Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, \bar{x} = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314  

14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)  

is the required confidence interval for the true mean length of rods.

3 0
3 years ago
Read 2 more answers
Combine the like terms of the expression (8 + 6x) + (-4 + 9c). Explain how you simplified the expression in each step. * pls hel
Delicious77 [7]

Answer: 6x+9c+4

Step-by-step explanation:  (8 + 6x) + (-4 + 9c)

                                              8+6x-4+9c

                                              6x+9c+8-4

                                              6x+9c+4

8 0
3 years ago
What is the measure of angel R ? pls i need help​
matrenka [14]

Answer:

40

Step-by-step explanation:

(120 - 40)/2 = 80/2 = 40

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3 years ago
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laila [671]

Answer:

hope this helps youuuuu

4 0
3 years ago
The radius of a circle is 6 in. Find the circumference to the nearest tenth.
ycow [4]

Answer:

37.7

Step-by-step explanation:

The orginal answer is 37.699

But you want to round the tenth

So 9 to the 6 you want to rasie the score

6 turns into a 7 and the numbers behind it (9 and the other 9) turn into a zero

37.7 or 37.700

8 0
2 years ago
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