Question 1
0/1 pts
The catalog price of an item is $145. The trade-discount rate is
35%. What is the discount?
$55.70
594.25
550.75
$97.00

Answer:

1.330391 ; 1.734064 ; 1.713872 ; 1.670649 ;

Step-by-step explanation:

a) t0.10, 18

α = 0.10 ; df = 18

From table, critical value = 1.330

(b) t0.05, 18

α = 0.05 ; df = 18

From table, critical value = 1.734

(c) t0.05, 23

α = 0.05 ; df = 23

From table, critical value = 1.714

(d) t0.05, 60

α = 0.05 ; df = 60

From table, critical value = 1.671

(e) t0.005, 60

α = 0.05 ; df = 60

From table, critical value = 2.660

Answer:

  y = -2x + 11

Step-by-step explanation:

Slope point equation:

y - y1 = m(x -x1)

y1 = 7  ; x1 = 7 , m = -2

y - 7 = -2(x - 2)

y - 7 = -2x -2*(-2)

y -7 = -2x + 4

   y = -2x + 4 + 7

   y = -2x + 11

Domain:(−∞,∞),{x|x∈R}

Range:[2,∞),{y|y≥2}

The Domain is {1, 2, 3, 4} and the range is { 11, 18, 27, 38}

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

Y=x^2+4x+6

As, we know that domain is the input value and range is the output value.

Then, x = 1

y = 1 + 4 +6

y= 11

and, x= 2

Y = 4 + 8 +6

Y = 18

and, x= 3

Y = 9 + 12 + 6

Y = 27

and, x = 4

Y = 16 + 16 + 6

Y = 38

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Answer:

81a²b²

Step-by-step explanation:

(-9ab)² = (-9ab)(-9ab) = 81a²b²

Answer:

[tex]81a^{2} b^{2}[/tex]

Step-by-step explanation:

(-9ab)^2

(-9)^2×a^2b^2

Evaluate the power

81a^2b^2

81a^2b^2

hope it helps...

have a great day!!

Answer: 31,672 mi2

Step-by-step explanation:

The area of the state of Nevada can be estimated using a trapezoid

Answer:

The owner will have to pay $ 125 after 2 hours.

Step-by-step explanation:

Given that the line graph shows the amount of water loss in a leaking tank during 7 hours, and the owner pays $ 1 for every 8 liters of water lost, to determine how much will he have to pay after 2 hours the following calculation must be performed :

((6000 - 5000) / 8) x 1 = X

(1000/8) x 1 = X

125 x 1 = X

125 = X

Therefore, the owner will have to pay $ 125 after 2 hours.

Answer

Assalam waliakum

Answer:

Step-by-step explanation:

If I add Gary's money

9+ 6 = 15

Emily have to begin with, $ 24

15 + 9 = 24

Fred have to begin with $ 21

15 + 6 =21

Answer:

x= 2

Step-by-step explanation:

x+1/2= 21/14 cross multiply

14(x+1)= 2(×21)

14x+ 14= 42

14x= 42-14

14x= 28

x= 28/14

x= 2

Answer:

46.5

Step-by-step explanation:

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The tank can not keep 30 tropical fish in it.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Since there needs to be an average of 2 gallons of water for each fish and there are a total of 30 tropical fish. Therefore, the amount of water needed for a total of 30 fish to flourish is,

Amount of water needed = 30 fish × 2 gallons = 60 gallons

Since One gallon is equal to 19.2152 cups. Therefore, the amount of water needed for the fish to flourish is,

60 gallons = 60 × 19.2152 cups = 1152.912 cups

Since the tank has a capacity of 976 cups only, the tank is not big enough to keep 30 fish.

Hence, the tank can not keep 30 tropical fish in it.

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Answer:

Subscirbe to me my Youtub.e is Justinsucks172

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You multiply the 3 numbers.

Answer:

It takes 7.37 hours for the size of the sample to double.

Step-by-step explanation:

Continuous exponential growth model:

The continuous exponential growth model for populations is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate parameter, as a decimal.

Growth rate parameter of 9.4% per hour.

This means that [tex]r = 0.094[/tex]

So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = P(0)e^{0.094t}[/tex]

How many hours does it take for the size of the sample to double?

This is t for which P(t) = 2P(0). So

[tex]P(t) = P(0)e^{0.094t}[/tex]

[tex]2P(0) = P(0)e^{0.094t}[/tex]

[tex]e^{0.094t} = 2[/tex]

[tex]\ln{e^{0.094t}} = \ln{2}[/tex]

[tex]0.094t = \ln{2}[/tex]

[tex]t = \frac{\ln{2}}{0.094}[/tex]

[tex]t = 7.37[/tex]

It takes 7.37 hours for the size of the sample to double.

Answer:

9.71 ÷ 9.82 = .9987 or 1% .

The percentage increase is 1.1% to the nearest tenth

The calculation can be done as follows

Original price= $9.82

increase= $9.71

Change in price= 9.82-9.71

= 0.11

percent increase= 0.11/9.82 × 100

= 1.12

= 1.1 (to the nearest tenth)

Hence the percent increase is 1.1%

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Using the limit definition of the derivative, you have

[tex]\displaystyle f'(-5) = \lim_{x\to-5} \frac{f(x) - f(-5)}{x - (-5)} = \lim_{x\to-5} \frac{(2x^2+4x+7) - 37}{x + 5}[/tex]

Simplify the numerator:

(2x ² + 4x + 7) - 37 = 2x ² + 4x - 30

… = 2 (x ² + 2x - 15)

… = 2 (x + 5) (x - 3)

Then

[tex]\displaystyle f'(-5) = \lim_{x\to-5}\frac{2(x+5)(x-3)}{x+5} = \lim_{x\to-5} 2(x-3) = \boxed{-16}[/tex]

• • •

For your second question in the comments, if f(x) = -2x ² + 3x - 7, then by the definition of the derivative, you have

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{(-2(x+h)^2+3(x+h)-7) - (-2x^2 + 3x - 7)}h[/tex]

Simplify the numerator:

(-2 (x + h)² + 3 (x + h) - 7) - (-2x ² + 3x - 7)

… = (-2x ² - 4xh - 2h ² + 3x + 3h - 7) - (-2x ² + 3x - 7)

… = -4xh - 2h ² + 3h

Now compute the limit:

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{-4xh-2h^2+3h}h = \lim_{h\to0}(-4x-2h+3) = \boxed{-4x+3}[/tex]

Answer:

7

Step-by-step explanation:

2+2+3

Answer:

15

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Mean 7

Median  6

Mode 3

Range 12

Answer:

65 percent

Step-by-step explanation:

The solution is 65 %

The percentage of people who were satisfied with the car is 65 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage of people who were satisfied with the car be = P

Now , the number of people who were satisfied with the car = 1625

The number of people who were somewhat satisfied with car = 665

The number of people who were not satisfied with the car = 210

The total number of people surveyed = number of people who were satisfied + number of people who were somewhat satisfied + number of people who were not satisfied

Substituting the values in the equation , we get

The total number of people surveyed = 1625 + 665 + 210

The total number of people surveyed = 2500 people

So , the percentage of people who were satisfied with car P = number of people who were satisfied with the car / total number of people surveyed

Substituting the values in the equation , we get

Percentage of people who were satisfied with car P = ( 1625 / 2500 ) x 100

Percentage of people who were satisfied with car P = 0.65 x 100

Percentage of people who were satisfied with car P = 65 %

Therefore , the value of P is 65 %

Hence , the percentage is 65 %

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Answer: 4 Units

Step-by-step explanation:

Answer:

The minimum sample size required for the estimate is of 3820.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Variance is known to be 5.76

This means that [tex]\sigma = \sqrt{5.76} = 2.4[/tex]

What is the minimum sample size required for the estimate?

Maximum error of 0.1 means that we find n for which M = 0.1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.1 = 2.575\frac{2.4}{\sqrt{n}}[/tex]

[tex]0.1\sqrt{n} = 2.575*2.4[/tex]

Multiplying both sides by 10

[tex]\sqrt{n} = 2.575*24[/tex]

[tex](\sqrt{n})^2 = (2.575*24)^2[/tex]

[tex]n = 3819.2[/tex]

Rounding up:

The minimum sample size required for the estimate is of 3820.

Answer:

log 81 = 1.90849

Step-by-step explanation:

log 81 = log 9^2 = 2 log 9 = 2(0.95424) = 1.90849

Answer:

area = 30

Step-by-step explanation:

You would want to use the formula for a right triangle to find the area.

Right triangle formula = a * b/ 2 will give you the area.

So, 5*12 = 60, 60/2 = 30.

Answer:

x = 3

Step-by-step explanation:

Move all terms containing x to the left

5x + 2 = 17

Move all terms not containing x to the right

5x = 15

Divide each term by 5 and simplify

x = 3

Answer:

630,200

just add the zeros smarty

Answer:630,200

Step-by-step explanation:

6302x100 is just adding the two zeros from 100 to 6302

Answer:

0.024 represents the amount of snow that is added to the lawn every minute.

Step-by-step explanation:

Emily observed the amount of snow on her lawn during a blizzard. So, 0.024 in the equation shows the rate at which snow is coming with the number of minutes passing.

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.

As per the given equation in the question,

S is the snow in inches.

x shows the time in minutes and,

0.024 is the rate along with the time at which the snow is accumulating in the lawn and 7 in the equation is the constant value.

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Answer:

28.8

Step-by-step explanation:

the original is 45=100%

it reduced by 36% meaning;100%-36%=64%

if45=100%

? =64%

45*64=2880/100=28.8

Answer: i think a nd c

Step-by-step explanation: