what is the solution​

Answer:

The base is: [tex]3 \sqrt[3]{4}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]

Required

The base

Expand 108

[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]

Rewrite the exponent as:

[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]

Expand

[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]

[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]

Rewrite as:

[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]

An exponential function has the following form:

[tex]y=ab^x[/tex]

Where

[tex]b \to base[/tex]

By comparison:

[tex]b =3 \sqrt[3]{4}[/tex]

So, the base is: [tex]3 \sqrt[3]{4}[/tex]

Answer:

B

Step-by-step explanation:

good luck

Answer:

7(y intercept)

Step-by-step explanation:

y = mx +c form

y = 21-7x/3

c = 21/3 = 7(y intercept)

x i have no idea

To find x-intercept ,put y= 0 in the given eqn

So, 7x+3(0) = 21

=> 7x =21

=> x= 21/7 = 3

x-intercept = 3

Similarly, to find y-intercept put x=0 in the given eqn

So ,7(0)+3y=21

=> 3y=21

=> y= 21/3 = 7

y-intercept = 7

Answer:

2 StartRoot 14 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem :

The hypotenus = 10 + 4 = 14

Leg 1 = q

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

14 / q = q / 4

Cross multiply :

q * q = 14 * 4

q² = 56

q = √56

√56 = √4 * √14 = 2√14

Answer:

B

Step-by-step explanation:

edge 2021

Answer:

hii im looking at the same thing  you just have to do the multiplication on that

Step-by-step explanation:

Answer:

88 or 1 minute and 28 seconds

Step-by-step explanation:

396/9= 44 times the two seconds it takes to print is 88

Answer:

1782

Step-by-step explanation:

9 divided by 2.0

=4.5

4.5×396

=1782

Answer:

201886

Step-by-step explanation:

9514 1404 393

Answer:

  90° CCW

Step-by-step explanation:

The transformation from B to B' is ...

  B(-4, 1) ⇒ B'(-1, -4)

  (x, y) ⇒ (-y, x) . . . . . matches the transformation for 90° CCW

Answer:

90 degrees

Step-by-step explanation:

Answer:

A.0.0002 inch

Step-by-step explanation:

0.02 inch×1%=0.02 inch×1÷100

=0.0002 inch

If A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent, the GREATEST allowable thickness of the metal square is 0.0202 inches. So, correct option is C.

The allowable error for the thickness of the metal square is given as 1 percent. To determine the greatest allowable thickness, we need to find 1 percent of the given thickness and subtract it from the given thickness.

Given thickness: 0.02 inches

1 percent of 0.02 inches = (1/100) * 0.02 inches = 0.0002 inches

Subtracting the 1 percent allowable error from the given thickness:

0.02 inches ± 0.0002 inches = 0.0198 inches or 0.0202 inches

Therefore, the greatest allowable thickness of the metal square is 0.0198 inches or 0.0202 inches.

Among the answer choices provided:

A. 0.0002 inches is the 1 percent allowable error, not the greatest allowable thickness.

B. 0.02 inches is the given thickness.

C. 0.0202 inches is the greatest allowable thickness.

D. 0.03 inches is greater than the greatest allowable thickness.

Hence, the correct answer is C. 0.0202 inches.

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Answer:

No, 7, 8 and 9 do not form a right triangle.

Step-by-step explanation:

Assume that the shorter two side lengths are  7 and 8.  Does 7^2 + 8^2 add up to 9^2?  Does 49 + 64 add up to 81?  NO.

No, 7, 8 and 9 do not form a right triangle.

Answer:

The answer is -20.

Step-by-step explanation:

(8 × 5) - (-6 × -10)

= 40 - 60

= -20

Answer:

well,

it's more than (20ft)²

bc 20*20 =400

21² = 21 * 21 = 441

getting closer...

22² = 22 * 22 = 484

[tex] \sqrt{484} = {22}^{2} [/tex]

yet, we arrived, short trip tough, pls leave the bus in an orderly manner

Answer:

Step-by-step explanation:

Answer:

11/18

Step-by-step explanation:

Directly between 5/9 and 6/9 would be 5.5/9 (or 5 and half ninths. However, you’re not supposed to mix regular fractions and decimal fractions.

So, the easiest way to get the proper answer would be to convert the fractions to eighteenths, which would give you a whole number numerator between the two given fractions.

So, 5/9 = 10/18 and 6/9 = 12/18. What number is directly exactly between 10 and 12? 11.

Answer and Step-by-step explanation:

The answer is [tex]\frac{14}{26}[/tex].

This fraction is a multiple of [tex]\frac{7}{13}[/tex].

#teamtrees #PAW (Plant And Water)

Answer:

The base is: [tex]3 \sqrt[3]{4}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]

Required

The base

Expand 108

[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]

Rewrite the exponent as:

[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]

Expand

[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]

[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]

Rewrite as:

[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]

An exponential function has the following form:

[tex]f(x)=ab^x[/tex]

Where

[tex]b \to base[/tex]

By comparison:

[tex]b =3 \sqrt[3]{4}[/tex]

So, the base is: [tex]3 \sqrt[3]{4}[/tex]

Answer:

1.5 because it passed it.

The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.

The speed of an object is the ratio of the total distance covered by the object and total time taken by the object to complete that distance.

Here, the radius of the Ferris wheel is (r) = 30 feet.

The circumference of the wheel is

= 2πr

= 2 × π × 30 feet

= 60π feet

Here, the Ferris wheel completes 7 revolutions.

Therefore, it covers the linear distance of

= 7 × circumference of the wheel

= 7 × 60π feet

= 420π feet

Now, the Ferris wheel took 14 minutes to complete 420π feet.

Therefore, the speed of the wheel is

= (420π/14) feet/minute

= 30π feet/minute

= (30π × 12)/60 inches/second

= 6π inches/second

= 18.9 inches/second

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Answer:

A) 2/9

Step-by-step explanation:

6 rolls out of 36 would be doubles. 6/36

2 rolls out of 36 would equal 11. 2/36

6/36+2/36=8/36 = 4/18 = 2/9

Answer:

    [tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]

Answer:

x> - 11/2

Step-by-step explanation:

See image below:)

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

- [tex] \large{ \boxed{ \tt{LIKE \: AND \: UNLIKE \: TERMS}}}[/tex]

[tex] \large{ \tt{❊ \: LET'S \: START}} : [/tex]

[tex] \tt{✺ \: BE \: IN \: LOVE \: WITH \: YOUR \: LIFE !\: ♪}[/tex]

۵ Hope I helped ! ツ

☼Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

b

Step-by-step explanation:

glad I helped..............

Answer:

[tex]\frac{-4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{-4}{15}* 3 = -4/5[/tex]

Answer:

answer is 3.5 dollar

dividing 7 ÷ 2 = 3.5 dollar

as we have to take 50 percent

Answer:

17 1/7 I think

Step-by-step explanation:

x=17.1

Step-by-step explanation:

[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]

Answer: See figure 2 in the diagram below for the table.

==========================================================

Explanation:

The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total. Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows. The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).

Let me know if you get stuck on any one step, or need me to go into more detail.

A frequency table is a list of objects with the frequency of each item shown in the table. The frequency table is attached with the answer below.

The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.

The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total.

Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows.

The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).

Let me know if you get stuck on any one step, or need me to go into more detail.

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Answer:

D. 5 hours that's clostest to the actual time we spent

Step-by-step explanation:

the actual time would be more around 6 hours

Using the Central Limit Theorem, the false statement is given by:

B. [tex]\mu[/tex] is the sample mean. It is used to estimate the population mean.

It states that, for a normally distributed random variable X, with population mean [tex]\mu[/tex] and population standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s_E = \frac{\sigma}{\sqrt{n}}[/tex].

If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.

The sample mean is given by [tex]\overline{x}[/tex], hence option B is false.

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Answer:

<GBC = 7x + 45° ( vertically Opposite angles)

Now let's get the value of x

10x-3 = 7x + 45 (corresponding angles)

10x - 7x = 45 + 3

3x = 48

x= 48/3

x=16°

<GBC = 7(16) + 45

=157°

9514 1404 393

Answer:

  Translation up 3

Step-by-step explanation:

Adding 3 to the function value translates its graph up 3 units.