2. How many miles the trucks will have to drive for the costs of the trucks to be equal?

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:

Here ya go

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

isiwjsjxjxjsiqisjnx

Answer:

Step-by-step explanation:

Area of floor = length * width

                     = 4 * 3

                     = 12 sq.m

Cost of making the floor = 12 * 2400

                                         = N 28800

Answer:1 real solution

Step-by-step explanation:

9514 1404 393

Answer:

  65°, 35°, 90°, 115°, 80°

Step-by-step explanation:

There are 9 of the longer tick marks in 90°, so each of them represents 10°. The shorter tick marks are halfway between, so are on multiples of 5°. This lets us make a list of the angle value associated with each of the letters.

A: 0 or 180

B: 65 or 115

C: 90

D: 145 or 35

E: 180 or 0

__

Using this list, we can find the measure of each angle by finding the positive difference of the corresponding angle values associated with each of its rays.

arc AOB = 65 -0 = 65°

arc DOE = 35 -0 = 35°

arc AOC = 90 -0 = 90°

arc EOB = 115 -0 = 115°

arc DOB = 145 -65 = 80°

Answer:

Step-by-step explanation:

Miles

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:

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:

Its A.

Step-by-step explanation:

remember its rectangle 1 + rectange 2.Once i did that i have seen the total volume must be greater then answer B

so it must be a

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

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\text{5x + (2x - y) - 4}[/tex]

[tex]\huge\text{= 5x + 2x - y - 4y}[/tex]

[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{(5x + 2x) + (-y - 4y)}[/tex]

[tex]\huge\text{5x + 2x = \boxed{\bf 7x}}[/tex]

[tex]\huge\text{-y - 4y = \boxed{\bf -5y}}[/tex]

[tex]\boxed{\huge\text{= \bf 7x - 5y}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \text{\bf 7x - 5y}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\longrightarrow{\blue{ 7x - 5y }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]5x + (2x - y) - 4y[/tex]

➼ [tex] \: 5x + 2x - y - 4y[/tex]

➼ [tex] \: 7x - 5y[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

3. sin(43) = a/17

a = 17sin(43)

= 11.594

≈ 11.6

4. sin(35) = 6/b

b · sin(35) = 6

b = 6/sin(35)

= 10.46

Answer:

b

Step-by-step explanation:

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

Answer:

equiangular equilateral

all sides are equal  

Answer:

d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups

Step-by-step explanation:

Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Answer:

1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order of the digits is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

One correct number, so [tex]D = 1[/tex]

Total outcomes:

3 non-repeated digits, so permutations of 3 digits from a set of 10(all digits). So

[tex]T = P_{10,3} = \frac{10!}{7!} = 10*9*8 = 720[/tex]

What is the probability he dials the correct telephone number on the first try?

[tex]p = \frac{D}{T} = \frac{1}{720} = 0.0014[/tex]

1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.

Answer:

(30-2)*180 calculate and get ur answer

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:)

Answer: (x+1)^2=12(y-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.

Answer:

87/100

Step-by-step explanation:

Answer:

d = √85

Step-by-step explanation:

d^2 = (X2 - X1)^2 + (Y2 - Y1)^2

= (2 - 0)^2 + (6 + 3)^2

= 4 + 81

d = √85

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

Answer:

1.5 because it passed it.

Answer:

5

Step-by-step explanation:

Answer:4.5

[um i cant relay see it but il do my best]

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:

The mean of the sampling distribution of p hat is,

⇒  Mu Subscript p hat = n p = 50 (0.47) = 23.5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The proportion of all high school students who watch national news is p = 0.47.

And, A random sample of 50 high school students is selected.

Hence, By definition we get;

The mean of the sampling distribution of p hat is,

⇒  Mu Subscript p hat = n p

                                  = 50 (0.47)

                                   = 23.5

Thus, The mean of the sampling distribution of p hat is,

⇒  Mu Subscript p hat = n p = 50 (0.47) = 23.5

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