A busy customer service agent handled 20 emails in 1/4 of a day. At that rate, how many emails could he handle in 1 day?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
emails

Okay here we have this:

Answer:

4x²( x¹0 - 16)

Therefore, the expression 4x¹0-64x² can be rewritten as 4x²(x¹0 - 16) by factoring out the greatest common factor.

4x²(x^8 - 16)

Then, we can use the difference of squares formula to factor x^8 - 16, which gives:

4x²(x^4 + 4)(x^2 + 2)(x^2 - 2)

Therefore, the fully factored form of 4x¹0-64x² is 4x²(x^4 + 4)(x^2 + 2)(x^2 - 2).

Answer:

x=3

Step-by-step explanation:

-8x + 4 +5x = -5

<=> -3x + 4 = -5

<=> -3x = -9

<=> x = 3

Answer:

B) A Car's value and the miles on the car.

Step-by-step explanation:

The scattered plot is used for two variables which shows different and scattered points on the graph. In the given scattered graph the x axis represents the car value and y axis shows the cars mileage. The mileage and value of the car is related to each other and they have positive correlation.

Answer:

B is correct....

Answer:

0 < x < 1/3

Step-by-step explanation:

Hello! The answer I provided is correct, you know this because any value you can use for X that is in between 0 and 1/3 would make the inequality true.

Answer:

B. Given the values for the explanatory variables, there is a 60 percent probability that the dependent variable will equal one.

Step-by-step explanation:

Given

Model: binary dependent variable

Predicted value: 0.6

Required

Interpret

The possible values of a binary dependent variable are 0 or 1.

So, a predicted value means that, the chance that the dependent variable will be 1 equals to the predicted value.

Since the predicted value is 0.6 (or 60%), this means that; there is a 60% chance that the dependent variable = 1.

Hence, option (b) is true.

$65 is the expected annual cost associated with the managing potential shortages or surpluses of the product.

Given, a manufacturer of a particular bicycle model has the following costs associated with the management of this product's inventory.

If X units are demanded each year and X is less than 1000, the excess supply, 1000 − X units, must be stored until next year at a cost of $50 per unit. If X is greater than 1000 units, the excess demand, X − 1000 units, must be produced separately at an extra cost of $80 per unit.

We have to find the expected annual cost,

now, as P(X = 50) = 1/2

also P(X = 80) = 1/2

now, using the formula of expected value, we get

E(x) = 50×1/2 + 80×1/2

E(x) = 25 + 40

E(x) = 65

So, $65 is the expected annual cost associated with the managing potential shortages or surpluses of the product.

Hence, $65 is the expected annual cost associated with the managing potential shortages or surpluses of the product.

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Answer:

13. 20°

14. 15°

15. 50°

Step-by-step explanation:

Please see the attached pictures for full solution.

For negative angles, the arrow turns clockwise.

Answer:

  13. 20°

  14. 15°

  15. 50°

Step-by-step explanation:

From a mathematical point of view, the reference angle is the smaller of α and (180°-α), where α = θ mod 180°.

That is, add or subtract multiples of 180° until the result is in the range 0–180°. Then choose the smaller of the angle and its supplement.

It is convenient to let a spreadsheet calculate these when you have a bunch of them.

__

From a geometrical point of view, the reference angle is the positive angle between the terminal ray and the nearest x-axis.

__

For the angles here, the reference angles (in degrees) are shown in the attachment.

it would be 4, waxing gibbous

The probability that at least 1 slab is defective is 0.55103 or about 55.1%.

Given that a batch of 15 granite slabs is mined, and 4 have defects.

The manager spot-checks 3 slabs at random.

We need to find the probability that at least 1 slab is defective.

We can find this probability using the complement rule.

The complement of the probability that at least 1 slab is defective is that no slab is defective.

We can use the following formula:

P(at least 1 defective) = 1 - P(none defective)

Now, the probability that the first slab is not defective is 11/15.

The probability that the second slab is not defective is 10/14 = 5/7.

The probability that the third slab is not defective is 9/13.

So, the probability that none of the 3 slabs are defective is:

P(none defective) = (11/15) × (5/7) × (9/13) = 0.44897

Using the complement rule,

P(at least 1 defective) = 1 - P(none defective) = 1 - 0.44897= 0.55103

Therefore, the probability that at least 1 slab is defective is 0.55103 or about 55.1%.

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a) The exponential function for the situation is V(t) = 60000(0.9)^t.

b) After 6 years the value of the equipment will be $31886.46.

c) The price of the equipment will be half of its original price after 6.6 years.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The price of weaving equipment = $60000.

The depreciation rate per year = 10%

The depreciation value will be -

= (1 - 10%)

= 1 - (10/100)

= 1 - 0.10

= 0.9

Let the time in years be measured in t.

The equation for value after t years will be -

V(t) = 60000(0.9)^t

This is an exponential equation.

To find the value of equipment 6 years after purchase, substitute the value of t = 6.

V(t) = 60000(0.9)^t

V = 60000(0.9)^6

V = 60000 × 0.531441

V = 31886.46

Therefore, the value of equipment will be $31886.46.

To find the time at which the value of the equipment will be half its price, substitute the value of V(t) = 30000.

V(t) = 60000(0.9)^t

30000 = 60000(0.9)^t

(0.9)^t = 60000/30000

(0.9)^t = 2

t ln (0.9) = ln (2)

t =  ln (2)/ln (0.9)

t = 0.301/0.0457

t = 6.58 ≈ 6.6

Therefore, after 6.6 years the value of the equipment will be $30000.

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Answer:

\(area \: = length \times width \\ = \frac{5}{8} \times \frac{4}{9} \\ = \frac{20}{72} \\ = \frac{10}{36} {ft}^{2} \)

Answer:

Simplifying

9x + 7 = 5x + -3

Reorder the terms:

7 + 9x = 5x + -3

Reorder the terms:

7 + 9x = -3 + 5x

Solving

7 + 9x = -3 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

7 + 9x + -5x = -3 + 5x + -5x

Combine like terms: 9x + -5x = 4x

7 + 4x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0

7 + 4x = -3 + 0

7 + 4x = -3

Add '-7' to each side of the equation.

7 + -7 + 4x = -3 + -7

Combine like terms: 7 + -7 = 0

0 + 4x = -3 + -7

4x = -3 + -7

Combine like terms: -3 + -7 = -10

4x = -10

Divide each side by '4'.

x = -2.5

Simplifying

x = -2.5

make me brainiest plz!!!

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

-43 - 9x = -7 - 15x - 18

-43 - 9x = -15x - 25

15x -9x = 43 -25

6x = 18

x = 3

Answer:

To find the unit price you simply divide 5.60 ÷ 8

the answer would be 70 cents per pencil

Answer:I think it is about 55 times

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

The pizza has 391 calories in it, and everytime you dip it into ranch, you add 7 calories to the 391.

454(calories in total) - 391(calories in the pizza)= 63

63 ÷ 7(calories everytime you dip into ranch) = 9

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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The simplified polynomial is -3x(x+2)(2x-1)

Given is a polynomial we need to simplify it,

-3x³ + 9x² + 30x -3x³-18x² - 24x

= -6x³ + 9x² + 30x -18x² - 24x

= -6x³-9x²+6x

= -3x(2x²-3x+2)

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

Hence the simplified polynomial is -3x(x+2)(2x-1)

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Given polygons a right triangle and an isosceles triangle sometimes be similar.

As given ,

Given polygons : A right triangle and isosceles triangle.

Polygon a right triangle and isosceles triangle never be similar.

Reason:

Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.

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In the regression model Yi = β0 + β1Xi + β2Di + β3(Xi × Di) + ui, β2 represents the coefficient associated with the binary variable D. It measures the average difference in the response variable Y between the two groups defined by the binary variable, holding all other variables constant.

In the given regression model, β2 represents the coefficient associated with the binary variable D. This coefficient measures the average difference in the response variable Y between the two groups defined by the binary variable, while holding all other variables in the model constant. The coefficient β2 captures the additional effect on Y when the binary variable D changes from 0 to 1.

For example, if D represents a treatment group and non-treatment group, β2 would represent the average difference in the response variable Y between the treated and non-treated individuals, after controlling for the effects of other variables in the model.

Interpreting the value of β2 involves considering the specific context of the study and the units of measurement of the variables involved. A positive value of β2 indicates that the group defined by D has a higher average value of Y compared to the reference group, while a negative value indicates a lower average value of Y.

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The given functions f(n) = 11 and g(n) = (3/4)^(n-1) can be combined to create a geometric sequence. The nth term of a geometric sequence is given by a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, the first term is given as 11, and the common ratio is (3/4).

The nth term of a geometric sequence is calculated using the formula a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the position of the term. By substituting the values into the formula, we can find the 9th term.

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Answer:

405

Step-by-step explanation:

-3 to the power of 4 = -81

-81 times 5 = -405

Answer:

-405

Answer:

it's the first one

Step-by-step explanation:

Answer:

In third condition

Step-by-step explanation:

In,

Kiyo walks 7 steps forward, 10 steps backward, and 3 steps forward.

The correct description that defines the prism square is option B: "Is another hand instrument that is also used to determine or set out right angles."

A prism square is a tool used in construction and woodworking to establish or verify right angles. It consists of a triangular-shaped body with a 90-degree angle and two perpendicular sides. The edges of the prism square are straight and typically have measurement markings. It is commonly used in carpentry, masonry, and other trades where precise right angles are essential for accurate and square construction. Option A describes a different tool involving mirrors set at an angle, which is not related to the prism square. Option C refers to a different instrument used for measuring slopes and is not directly related to the prism square.

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Answer:

1/9 = 0.111

2/9 = 0.222

Step-by-step explanation:

1/9 = 0.111

2/9 = 0.222

Answer:

Step-by-step explanatioN

1/9 = WE DIVIDE 1 ÷  9 WE GET 0.1111111111

0.1111111111 TO ONE SIGNIFICANT FIGURE = 0.1                  

    TWO SIG.FIG = 0.11                  T

HREE SIG.FIG 0.111

2/9= WE DIVIDE 2 BY 9 WE GET 0.22222222

SO WE ROUND TO ONE SIG .FIG.

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The maximum area that the 60 m can enclose is 225m², the dimensions of the maximal region are 15m x 15m, and the height as an fcn of the base is 30 - b.

Let the base of the rectangular region be "b",

and the height be "h" and,

it is given that the perimeter of the rectangular region = 60m

(a) write height as an fcn of base

by using the formula of the perimeter of a rectangle,

2(h+b) = 60m

we can write, h = 30 - b

⇒Area of the rectangular region

area(A) = height × base

substituting the value of h.

= (30 - b) × b

thus, A(b)= 30b - b²

to find the maximum area that the 60 m can enclose

\(\frac{dA(b)}{db}\) should be equal to 0.

substituting the value of A(b).

30 - 2b = 0

thus, b = 15

maximum area = 30b - b²

substituting the value of b.

= (30 × 15) - 15²

thus, maximum area = 225m².

dimensions of the maximum region,

for maximum area height = base = 15m

thus, the dimensions of the maximum rectangular region are 15m x 15m.

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The expression which represents the number of miles Mary rode in 5 days is 5*(2 + 2).

A fraction represented with its quotient and remainder is a mixed fraction.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

According to the given question.

Distance between Mary's house and school = \(1\frac{3}{4} =\frac{7}{4}\)

Number of days Mary rode her bicycle to school and back = 5

⇒ Distance travelled by Mary in one day = \(2(\frac{7}{4} )=\frac{7}{2}\)

Therefore, the expression which represents the number of miles she rode in 5 days = \(5(\frac{7}{2} )=\frac{35}{2}=17.5 miles\) ≈ 20 miles

Hence, the expression which represents the number of miles Mary rode in 5 days is \(5\) *(2+2).

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Answer:

\(g(f(2))=3\)

Step-by-step explanation:

So we have:

\(f(x)=4x-3\text{ and } g(x)=\frac{2x-1}{3}\)

And we want to solve for g(f(2)).

First, find f(2):

\(f(2)=4(2)-3\)

Multiply:

\(f(2)=8-3\)

Subtract:

\(f(2)=5\)

Now, substitute this in for g(f(2)):

\(g(f(2))=g(5)\)

Substitute this in for g(x):

\(g(5)=\frac{2(5)-1}{3}\)

Multiply:

\(g(5)=\frac{10-1}{3}\)

Subtract:

\(g(5)=\frac{9}{3}\)

Divide:

\(g(5)=3\)

Therefore:

\(g(f(2))=3\)