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3 years ago

Use the information to answer questions 8 and 9.

Mathematics

1 answer:

inessss [21]3 years ago

8 0

Answer:

Step-by-step explanation:

the factors and prime factorization of 36 and 54. The biggest common factor number is the GCF number. So the greatest common factor 36 and 54 is 18.

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What is 38496 rounded to the nearest thousand

nasty-shy [4]

38,000 is the answer

3 0

3 years ago

Read 2 more answers

6, 12, 18 and 24 are the first four multiples of 6. What are the next 2 multiples?

kondor19780726 [428]

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

3 0

3 years ago

A cylinder has a total volume of 678.59 and a height of 6m. what is the diameter of the cylinder? please help and show work

RoseWind [281]

Volume =
$\pi {r}^{2} h$
$r = \sqrt{678.59 \div 6}$
multiply r by 2 and you will get diameter

7 0

3 years ago

Solve x^2+20x+100=50

uysha [10]

1. You con solve the quadratic equation x^2+20x+100=50 by following the proccedure below:

2. Pass the number 50 from the right member to the left member. Then you obtain:

x^2+20x+100-50=0
 x^2+20x+50=0

3. Then, you must apply the quadratic equation, which is:

x=(-b±√(b^2-4ac))/2a

x^2+20x+50=0

a=1
b=20
c=50

4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:

-10±5√2 (It is the last option).

6 0

3 years ago

Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu

kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

$f(x) = {x}^{5} - {x}^{3} + 6$

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

$f'(x) = 5 {x}^{4} - 3 {x}^{2}$

At turning point f'(x)=0.

$5 {x}^{4} - 3 {x}^{2} = 0$

This implies that,

${x}^{2} (5 {x}^{2} - 3) = 0$

${x}^{2} = 0 \: or \: 5 {x}^{2} - 3 = 0$

$x = - \frac{ \sqrt{15} }{5} \: or \: x = 0 \: \: or \: x =\frac{ \sqrt{15} }{5}$

We plug this values into the original function to obtain the y-values of the turning points

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} +750)) \:and \: (0, - 6) \: and\: ( \frac{ \sqrt{15} }{5} , \frac{1}{125} ( - 6 \sqrt{15} +750))$