How much will Alice pay for carpet that costs $4.50 per square foot?

Answer:

log 81 = 1.90849

Step-by-step explanation:

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

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:

15

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Mean 7

Median  6

Mode 3

Range 12

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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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:

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:

charli and dixie

Step-by-step explanation:

Answer:

1,000 words in 5 minutes.

Step-by-step explanation:

This problem is simple. It has already given us the k, or constant of proportionality, which is for every one minute, Mason has read 200 words!

Now, with that being said, we need to make an equation for 5 minutes. m is the minutes, and the number is the amount of words.

Below is the equation:

m=200

5m=200x5

5m=1,000

The answer is 1,000 words in 5 minutes

Answer:

z(s) is in the rejection region we reject H₀     μ₁  = μ₂  and support the claim that at CI 95 % the means of the two groups differs

Step-by-step explanation:

Sample 1:

Sise sample   n₁  =  115

μ₁  = 169,9 mmHg

σ₁  = 24,8 mmHg

Sample 2:

Sise sample   n₂  =  235

μ₂  = 163,3 mmHg

σ₂  = 25,8 mmHg

We can develop a test hypothesis for differences in means to investigate if the mean peak systolic blood pressure differs between these two groups

We will choose CI = 95 %   then significance level  α  = 5 %

α = 0,05     α/2 = 0,025

z(c) for 0,025 is from z-table   z(c) = 1,96

Test Hypothesis:

Null Hypothesis                                  H₀           μ₁  = μ₂

Alternative Hypothesis                      Hₐ            μ₁  ≠ μ₂

The alternative hypothesis tells us that the test is a two-tail test.

z(s)  =  ( μ₁  - μ₂ ) / √ σ₁²/n₁  + σ₂²/n₂

z(s)  = ( 169,9  -163,3 ) / √ (24,8)² /115   +  ( 25,8)²/235

z(s)  =  6,6  / √5,35 + 2,83

z(s)  =  6,6  / 2,86

z(s) = 2,30

Comparing  |z(c)|    and  |z(s)|

z(s) > z(c)

z(s) is in the rejection region we reject H₀     μ₁  = μ₂  and support the claim that at CI 95 % the means of the two groups differs

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:

7

Step-by-step explanation:

2+2+3

Answer:

#1 - a mathematical relationship or rule expressed in symbols which help you solve something

#2 - variables, which represent an aspect of the problem

#3 P is perimeter, L is length, W is width, A is area

#4 Because in order to find the perimeter, you need to multiply the length and the width twice then add them.

Step-by-step explanation:

Answer:

96° because it is congruent to angle 7

Answer:

8meters

Step-by-step explanation:

Perimeter of the square ribbon = 4L

L is the side length of the table

Given

L = 2 meters

Substitute

Perimeter of the square ribbon = 4(2)

Perimeter of the square ribbon = 8meters

Hence she will need 8meters of ribbon to decorate the square

Answer:

14/8        21/12

Step-by-step explanation:

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

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 = 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

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:

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:

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: 31,672 mi2

Step-by-step explanation:

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

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:

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:

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

hope this is what you're looking for :)

See attachment for the graph of the function and the features.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

we have to use the drawing tool(s) to form the correct answer on the provided graph:

The function is given as

h(x) =(x - 1)^2 - 9

The x-intercept

Set h(x) to 0

So, we have

(x - 1)^2 - 9 = 0

Add 9 to both sides

(x - 1)^2 = 9

Take the square root of both sides

x - 1 = ±3

This gives

x = 1 ± 3

Expand

x = (1 - 3, 1 + 3)

Evaluate

x = (-2, 4)

Hence, the x-intercepts are x =2 and x = 4

The y-intercept

Set x to 0

So, we have

h(0) = (0 - 1)^2 - 9

Evaluate

h(0) = -8

Hence, the y-intercept is h(x) =-8

The vertex

We have

h(x) =(x - 1)^2 - 9

Expand

h(x) = x^2 - 2x + 1 - 9

Differentiate

h'(x) = 2x - 2

Set to 0 and solve for x

2x - 2 = 0

This gives

x = 1 --- this represents the axis of symmetry

Substitute x = 1 in h(x) =(x - 1)^2 - 9

h(1) =(1 - 1)^2 - 9

Evaluate

h(1) = -9

Hence, the vertex of the function is (1, -9)

See attachment for the graph of the function and the features

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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: 4 Units

Step-by-step explanation:

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]