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3 years ago

Simplify to a single power of 4:

Mathematics

2 answers:

Natasha2012 [34]3 years ago

6 0

Answer:

$4^8$

Step-by-step explanation:

Formula: $(a^b)^c = a^{bc}$

Solve:

$(4^2)^4$
$4^{2*4}$
$4^8$

-Chetan K

densk [106]3 years ago

4 0

Answer:

2^16

Step-by-step explanation:

STEP

1.1 4 = 22

(4)2 = (22)2 = 24

The equation at the end of step

24^4

STEP

Final result :

2^16

pls, mark me brainiest.

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Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an

SSSSS [86.1K]

Plug x = 0 into the function

f(x) = x^3 + 2x - 1

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

f(x) = x^3 + 2x - 1

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

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

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

7 0

3 years ago

What kind of sequence has a common ratio

Makovka662 [10]

Answer:

geometric sequence

Step-by-step explanation:

A geometric sequence is a sequence of numbers that is ordered with a specific pattern. Each successive number is the product of the previous number and a constant. The constant is the same for every term in the sequence and is called the common ratio.

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3 years ago

A rectangle has a perimeter of 36 inches and a width of 10 inches. What is the length of the rectangle?

leonid [27]

Answer:

Step-by-step explanation:

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3 years ago

Where is the solution located on a graph a system of equations?

geniusboy [140]

For a system of two variables and two equations, each equation will be a linear graph, and where the lines intersect is the solution as an ordered pair (x,y). If the lines don’t intersect (they’re parallel) so there is no unique solution.

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3 years ago

A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Sili

MatroZZZ [7]

Answer:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

b) 10.878

c) S ≈ 1.99

Step-by-step explanation:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

<u>B) Point estimate of true average calcium content </u>

Given that dissolved material = 50 mg/cm^2

= 3.678 + 0.144 * dissolved material

= 3.678 + 7.2 = 10.878

<u>C) Determine an estimate of error standard deviation </u>

Given that ; sum of squares ( SST ) = 320.398

COD ( r ) = 0.86

first; calculate the value of SSE = SST - SST ( r^2 )

SSE = 320.398 - 320.398 ( 0.86) ^2

= 83.43

Finally ; determine the estimate of error standard deviation

S^2 = SSE / n -2

= 83.43 / 23 - 2

∴ S ≈ 1.99

6 0

3 years ago