Ice cream consumption was measured over 30 four-week periods from March 18, 1951 to July 11, 1953. The purpose of the study was to determine if ice cream consumption depends on the variables price, income, or temperature. For this HW question, we want to see if the temperature (temp) affects the ice cream consumption (IC). Attached is the output from the simple linear regression of temperature on ice cream consumption. What is the predicted ice cream consumption when it's 65 degrees

Answer:

13.5*pi = 42.412

Step-by-step explanation:

ecplanation in picture

The unknown value of b is -4 using algebraic calculations.

A fundamental algebraic operation is any of the standard arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots (fractional power). If these procedures are done on numbers, they are typically referred to as arithmetic operations. They may also be used for variables, algebraic expressions, and, more broadly, algebraic structural elements like groups and fields. A simple definition of an algebraic operation is a function from a Cartesian power of a set to the same set.

The phrase algebraic operation can also refer to operations defined by combining basic algebraic operations, such as the dot product. In calculus and mathematical analysis, the term algebraic operation refers to operations that may be specified using solely algebraic methods.

1 + 2b = 4b + 9

⇒ 2b - 4b = 9 - 1

⇒ -2b = 8

⇒ b = -4

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Answer:

see explanation

Step-by-step explanation:

cos F = \(\frac{adjacent}{hypotenuse}\) = \(\frac{FD}{EF}\) = \(\frac{5}{13}\)

sin F = \(\frac{opposite}{hypotenuse}\) = \(\frac{ED}{EF}\) = \(\frac{12}{13}\)

tan F = \(\frac{opposite}{adjacent}\) = \(\frac{ED}{FD}\) = \(\frac{12}{5}\)

intersecting-0,0

infinite solutions-no solution

3,-2 parrelel lines

that would be my guess

Answer:

5*-2 = 1/25

5*3 = 125

2*-4 = 1/16

2*5 = 32

Answer:

25

Step-by-step explanation:

If you divide by eight, it is equivalent to five cords per minutes.

Now you know that she plays five cords per minute, right?

So you want to multiply five by five, because she plays a total of five minutes.

Answer:

3<x<34

Step-by-step explanation:

(Big side to big angle)

Solution: 27>26 => 93°>3x - 9°

102°>3x

34>x

HOPE THIS HELPS AND HAVE A NICE DAY <3

After analyzing the sign of the derivative, the function f(x) = 3x^3 + 12x is increasing on the intervals x < -4/3 and x > 4/3. There are no intervals where the function is decreasing.

To determine the intervals on which the given function f(x) = 3x^3 + 12x is increasing or decreasing, we need to analyze the sign of its derivative.

First, let's find the derivative of f(x) with respect to x:

f'(x) = d/dx (3x^3 + 12x)

      = 9x^2 + 12

To determine where f(x) is increasing or decreasing, we need to find the critical points where f'(x) = 0 or is undefined.

Setting f'(x) = 0 and solving for x:

9x^2 + 12 = 0

9x^2 = -12

x^2 = -12/9

x^2 = -4/3

Since x^2 cannot be negative, there are no real solutions to this equation. Therefore, there are no critical points where f'(x) = 0.

Next, let's analyze the sign of f'(x) to determine the intervals of increasing and decreasing.

When f'(x) > 0, the function is increasing.

When f'(x) < 0, the function is decreasing.

To find where f'(x) is positive or negative, we can choose test points in each interval and evaluate the sign of f'(x) at those points.

Let's choose the intervals to test:

1) Interval to the left of any possible critical point: x < -4/3

2) Interval between any two possible critical points: -4/3 < x < 4/3

3) Interval to the right of any possible critical point: x > 4/3

For interval 1: Let's choose x = -2.

Plugging x = -2 into f'(x):

f'(-2) = 9(-2)^2 + 12

      = 9(4) + 12

      = 36 + 12

      = 48

Since f'(-2) = 48 > 0, f(x) is increasing in the interval x < -4/3.

For interval 2: Let's choose x = 0.

Plugging x = 0 into f'(x):

f'(0) = 9(0)^2 + 12

     = 0 + 12

     = 12

Since f'(0) = 12 > 0, f(x) is increasing in the interval -4/3 < x < 4/3.

For interval 3: Let's choose x = 2.

Plugging x = 2 into f'(x):

f'(2) = 9(2)^2 + 12

     = 9(4) + 12

     = 36 + 12

     = 48

Since f'(2) = 48 > 0, f(x) is increasing in the interval x > 4/3.

Based on the analysis, the function f(x) = 3x^3 + 12x is increasing on the intervals x < -4/3 and x > 4/3. There are no intervals where the function is decreasing.

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Answer:

g(n) = 18 - 4n

Step-by-step explanation:

Given the recursive formula

g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14

The explicit formula for an arithmetic sequence is

g(n) = g(1) + (n - 1)d , then

g(n) = 14 - 4(n - 1)

       = 14 - 4n + 4

       = 18 - 4n

It will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

Given:Ashley and Rod cleaned the house in 4 hours. Rod can clean the house alone in 2 hours.To find:How long will it take for Ashley to clean the house alone?Solution:Let's suppose the time Ashley takes to clean the house alone is x hours.Then, Ashley and Rod can clean the house in 4 hours.Thus, using the concept of work, we have:\begin{aligned} \text { Work done by Ashley in 1 hour } + \text { Work done by Rod in 1 hour } &= \text { Work done by Ashley and Rod in 1 hour } \\ \Rightarrow \frac {1}{x} + \frac {1}{2} &= \frac {1}{4} \\ \Rightarrow \frac {2 + x}{2x} &= \frac {1}{4} \\ \Rightarrow 8 + 4x &= 2x \\ \Rightarrow 2x - 4x &= -8 \\ \Rightarrow x &= 4 \end{aligned}Therefore, it will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.

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Answer:4

Step-by-step explanation:

The Mean Absolute Deviation is 4 from the data given

Answer:

One fraction: 23/7

Mixed number: 3 2/7

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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Answer:

Hello, the answer is 360

Step-by-step explanation:

40 x 9 = 360

Hope this helps

Answer: (3, -4)

Step-by-step explanation:

x = 3

y = -4

From Boston to Kansas City, it takes 20 minutes to get there. When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.

Regardless of an object's beginning or ending position, we can define distance as the amount of ground it has traveled.

given

When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.

Distance = rate*time

864 = 360t,

t = 2.4

In other words, the flight arrived after 2.4 hours. Given that this is longer than two hours, divide the number by sixty to determine the time in minutes:

60 * 2.4 = 144 minutes. Assess the flight's travel time from Kansas City now.

It took 2 hours, 4 minutes, or 124 minutes from the time it departed at 8:30 AM to the time it arrived at 10:34 AM.

According to this, the jet from Kansas City arrived 144 – 124 = 20 minutes earlier than the plane from.

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Answer:C I hope this helps

Step-by-step explanation:

Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.

A perimeter is a closed path that surrounds, encircles, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is its circumference. Perimeter calculations have many applications in the real world.

Here,

the grassy area = 40' x 100'

He has numerous outbuildings in the forested area as well, and he mows the area surrounding the trees less regularly than the rest of the yard. A fence completely encloses the area that has been described. He maintains his collection of exotic marijuana plants hidden in the long grass in the area outside the fence, which is an area he does not maintain.

Therefore, the space inside the fence serves as the best indicator of Johnny's home's perimeter.

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The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

125 degrees

Step-by-step explanation:

Using a theorem, you know that angle a is half of 110. Also, in all quadrilaterals   inscribed in a circle, the opposite angles are supplimentary. So then, knowing that angle a is 55 degrees, you can come to the conclusion that b is 125 degrees.

Hope this is helpful! :)

We have that

The  interval equivalent to each range is given below

\(x=3-5\)

\(x'=7,8,9 ...\)

From the Question we are told that

2  <  x  ≤  5   or   x  >7

Generally the interval equivalent is given as follow from the number line

(...-1,0,1...)

For 2  <  x  ≤  5  

Here  this means x is less than 2 and less than or equal to 5

Therefore

A range of numbers

\(x=3-5\)

For  x  >7

Here x is greater than 7  i.e

\(x'=7,8,9 ...\)

in conclusion

The  interval equivalent to each range is given below

\(x=3-5\)

\(x'=7,8,9 ...\)

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Answer:

(2,5] U (7,∞)

Step-by-step explanation:

got it correct.

solution:

3x^2+9x-5

i hope this helps

:)

Find percent -> 2nd month.

4264*.25==1066 phone calls+=4264

==5330 for 2nd month.

for 2nd -> 3rd

6396==5330*x, solve algebraically to get .20  == 20% increase from 2nd month to 3rd month.

Thus, the result for the given problem will be a) About 2.349 seconds and b) About 0.53 seconds

The time t takes a dropped object to fall h feet is

a) Taking, \(h=55 ft\) in the given formula, we get:

\(t = \sqrt(h/16) = \sqrt(55/16) \approx 2.349\; seconds\)

b) If the earring is dropped from two stories \((22 ft)\) below the roof, then the height from which it is dropped is:

\(h' = 55 - 22 = 33 ft\)

The time it takes for the earring to touch the ground may be calculated using the same calculation as before:

\(t' = \sqrt(h'/16) = \sqrt(33/16) \approx 1.819\; seconds\)

So the earring hits the ground approximately 0.53 seconds sooner when dropped from two stories below the roof.

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Answer:

First side = 12 units

Second side = 24 units

Third side = 16 units

Step-by-step explanation:

First, we can assign variables for each side of the triangle to make it easier:

A = side 1

B = side 2

C = side 3

The length of the second side of the triangle is twice the length of the first side, so we know that B is twice the length of A. We can represent this in an equation like this:

B = A * 2

The length of the third side is 4 units more than the first side. This tells us that C is going to be 4 more than A:

C = A + 4

And finally, the perimeter of the triangle is 52 units. Since the perimeter is just all the sides added together, we can create this equation:

A + B + C = 52

To start solving for lengths, I'm going to plug in the first two equations we got into the third equation:

A + B + C = 52

A + (A * 2) + (A + 4) = 52

1A + 2A + 1A + 4 = 52

4A + 4 = 52

4A = 48

A = 12

Now that we know what A is, we can solve for the other two variables:

B = A * 2

B = 12 * 2

B = 24

C = A + 4

C = 12 + 4

C = 16

Now we have all three variables, just don't forget what the variables represent (first side, second side, third side).

Answer:

Can you speak filipino?

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Answer:

how do you get here my baby mafiajasmine. j.k

By dilation, the image of the vertex M of the quadrilateral is M'(x, y) = (6, 5).

In this problem we find the representation of a quadrilateral whose image by dilation must be found. The dilation formula is introduced below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

If we know that O(x, y) = (4, 6), k = 1 / 3 and M(x, y) = (10, 9), then image of point M is:

M'(x, y) = (4, 6) + (1 / 3) · [(10, 9) - (4, 6)]

M'(x, y) = (4, 6) + (1 / 3) · (6, 3)

M'(x, y) = (4, 6) + (2, 1)

M'(x, y) = (6, 5)

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Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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Before school Ali ran 3/10 km, after school she ran 1/5 km. The total distance she ran is 1/2 km.

To add fractions, check whether they have common denominator or not. If they have common denominator, add the numerators.

Example:

2/5 + 1/5 = (2+1)/5 = 3/5

If the dominators are not the same, first find the common denominator.

Example:

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2

Information available in the problem:

Before school, Ali ran 3/10 km

After school, Ali ran 1/5 km

Total distance that Ali ran = 3/10 + 1/5

                                           = 3/10 + 2/10

                                           = (3 + 2)/10

                                           = 5/10 = 1/2

Hence, total distance = 1/2 km

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