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​

, find f^{-1}(x)f

−1

(x)

The amount of  energy must be removed from the drink for it to reach this temperature is 35.5kJ

Here we have given that a 12oz can of soft drink at 25c is placed in a freezer where the temperature is -12c.

As we all know that the equation of the given measurement is written as,

=> Q1=m.c.AT

From the given, now we have to know that the mass "m" = 340gm

And the value of C= 4.18 J/g°C

Then at 25°C it will at the temperature of

=> Q1340g x 4.18 x 25

=> Q1 = 35, 5300J or 35.5kJ

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Given:

The inequality is 2x < 9

Required:

Find solution for inequality.

Explanation:

We will solve as

Answer:

Hence, answer is x < 4.5

The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.

The pedestal's dimensions are height, breadth, and length.

Multiply the height, width, and length of the pedestal to calculate the surface area.

Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.

For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.

In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.

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The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.

You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.

S = 2*s1 + s2 + 2*s3

= 96 + 480 + 600

= 1176

Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.

The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.

In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.

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Answer:

A Rotation

Step-by-step explanation:

This transformation is an example of a rigid transformation, meaning that it remains congruent. The parallelogram was rotated at a certain point and that caused it to move to another quadrant of the graph. The rules of rotating a figure are:

When 90° clockwise-

(x,y) becomes (y,-x)

When 90° counterclockwise-

(x,y) becomes (-y,x)

When 180° clockwise or counterclockwise-

(x,y) becomes (-x,-y)

Note: If you get a problem saying 360° rotation that means the shape ends up in the same exact place as before. So think (x,y) stays (x,y)

I hope this answers your question!

Answer:

m= 1/10

Step-by-step explanation:

1. Move the terms so that will be 3m - 2m=-1/2 + 3/5

2. Subtract the m values so that will be 3m - 2m= 1 or m

3. Calculate the sum.

4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.

Answer:

Step-by-step explanation:

3m - 3/5 = 2m - 1/2

3m - 2m = 3/5 - 1/2

m = 0.1

Answer:

33-3 = 30

30 ÷ 5 = 6

Step-by-step explanation:

For A: Bar graph; for B: Histogram; for C: Pie chart; and for D:  Bar graph would be appropriate graphical representations.

a. The number of sales for your online company on each of the seven days in the past week:

The best graphical display to use here would be a bar graph. This is because a bar graph is appropriate for showing the distribution of a categorical variable, and the days of the week can be considered a categorical variable. The bar graph can clearly show the number of sales for each day of the week, making it easy to compare sales across days.

b. The amounts of each of the sales on Monday of the past week:

A histogram would be the best choice for this scenario. A histogram is used to represent continuous data, and sales amounts are continuous data. The histogram can be used to show the frequency of sales amounts within a specific range, providing a clear visual representation of the distribution of sales amounts on Monday.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week:

A Pareto chart would be the best choice for this scenario. A Pareto chart is used to show the relative frequency or size of problems or categories, with the largest categories displayed on the left and the smallest on the right. The Pareto chart can clearly show the number of items bought by each customer, making it easy to see which customers made the most purchases.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week:

A bar graph would be the best choice for this scenario. This is because a bar graph can clearly show the distribution of the total sales amount for each customer, making it easy to compare the total sales among customers.

"

Complete question

Which graphical display should you use? For each of the following scenarios, decide which graphical display (pie chart, bar graph, Pareto chart, stemplot, or histogram) you would use to describe the distribution of the variable. Give a reason for your choice and if there is an alternative choice that would also be reasonable, explain why your choice was better than the alternative.

a. The number of sales for your online company on each of the seven days in the past week.

b. The amounts of each of the sales on Monday of the past week.

c. The number of items bought by each of the customers who made a purchase on Monday of the past week.

d. The total amount of sales during the past year for each of the customers who made a purchase on Monday of the past week.

"

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Step-by-step explanation:

• the area of circle M = 3.14×11² = 379.94

• the circumference of circle M =

2×3.14×11 = 69.08

• XY =√36²-11²=√1296-121=√1175=34.28

• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°

• the area of triangle XY = ½×11×34.28

= 188.54

• the area of minor sector

= 72.21/360 × 379.94 = 76.20

• the minor arc from point X to

the point where YM intersects

withthe circle

= 72.21/360 × 69.08 = 13.86

Answer:

we know the smaller cone's height is 1/4 of 12, namely 3

Step-by-step explanation:

Because we know the radius and height of both cones, we can calculate the area of the larger one by subtracting the area of the smaller one; the Frustum's area remains.

Answer:

If a function has an axis of symmetry x = a,

Step-by-step explanation:

then f (x) = f (- x + 2a). The following graph is symmetric with respect to the origin. In other words, it can be rotated 180o around the origin without altering the graph. Note that if (x, y) is a point on the graph, then (- x, - y) is also a point on the graph.The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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The full SVD of matrix A is calculated to obtain its pseudoinverse, spectral norm, and condition number. The condition number is infinite due to a zero singular value.

The Singular Value Decomposition (SVD) decomposes a matrix into three separate matrices: U, Σ, and Vᵀ. The matrix A can be decomposed as A = UΣVᵀ, where U and V are orthogonal matrices, and Σ is a diagonal matrix with singular values on the diagonal.

To find the full SVD of A, we start by computing the singular values of A. The singular values are the square roots of the eigenvalues of AᵀA. In this case, the singular values are {sqrt(3), sqrt(2), 0}. The columns of U are the eigenvectors of AAᵀ corresponding to the nonzero singular values, and the columns of V are the eigenvectors of AᵀA corresponding to the nonzero singular values.

The pseudoinverse of A, denoted as A⁺, can be obtained by taking the reciprocal of each nonzero singular value in Σ and transposing U and V.

The spectral norm of A, denoted as ∥A∥, is the largest singular value of A, which in this case is sqrt(3).

The condition number of A, denoted as cond(A), is the ratio of the largest singular value to the smallest singular value. Since one of the singular values is zero, the condition number of A is considered infinite in this case.

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Let's change it by multiplying by 10^6.

So, the number is:

82,840,000 [82 million, 840 thousand]

Now,

For scientific notation, we have to take the decimal point until there is 1 digit to its left.

Thus it will be:

8.284

This number will be multiplied by a power of 10. This power will be the number of digits we went left to have 8.284 instead of 82,840,000...

Well, that's 7 digits. Thus, the scientific notation would be:

Angle B = ADC arc / 2

32 = ADC arc / 2

ADC arc = 2 × 32

ADC arc = 64

_________________________________

ADC arc + ABC arc = 360

64 + ABC arc = 360

ABC arc = 360 - 60 - 4

ABC arc = 300 - 4

ABC arc = 296

_________________________________

Angle D = ABC arc / 2

x = 296 / 2

x = 148

_________________________________

Angle A = x - 40

Angle A = 148 - 40

Angle A = 108 degrees

Answer:

42

Step-by-step explanation:

the answer to what divided by 6 equals 7 is 42. You can prove this by taking 42 and dividing it by 6, and you will see that the answer is 7.

Answer:

Rachel has a 2/7 chance that she will pull out one green and one blue marble. (It's not likely)

Step-by-step explanation:

I added 4+3=7  If she grabs two marbles, it would be 2/7 or 4/14. It is not very likely that rachel will grab both one green and one red marble.

I hope I helped!

Answer:

Using the table, the slope is 1/2

The significance level for each comparison in the Bonferroni procedure should be set at approximately .017 to maintain an overall significance level of .05 for three comparisons.

The Bonferroni procedure is a statistical method used to adjust the significance level when conducting multiple comparisons. It is important to plan the comparisons before the study is conducted to avoid bias and ensure the validity of the results.

In the case of maintaining an overall significance level of .05 for three comparisons, the significance level for each individual comparison should be set at .05 divided by the number of comparisons. In this case, there are three comparisons, so the adjusted significance level for each comparison would be .05 divided by 3, which is approximately .017.

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The focal length of the lens is -15 cm. The negative sign indicates that the lens is a diverging lens.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/v - 1/u

where f is the focal length of the lens, v is the image distance, and u is the object distance.

Given:

Object height (h_o) = 1.00 cm

Object distance (u) = 12 cm

Image height (h_i) = 5.00 cm

We can use the magnification formula to relate the object and image heights:

Magnification (m) = h_i / h_o

Given:

m = h_i / h_o = 5.00 cm / 1.00 cm = 5.00

Now, let's substitute the values into the lens formula:

1/f = 1/v - 1/u

Since the image is upright, the image distance (v) will be positive.

1/f = 1/v - 1/u

1/f = 1/v - 1/12

To find the value of v, we can use the magnification formula:

m = v / u

5.00 = v / 12

v = 5.00 * 12

v = 60 cm

Now, substitute the values of v and u into the lens formula:

1/f = 1/60 - 1/12

Simplifying:

1/f = (1 - 5) / 60

1/f = -4/60

1/f = -1/15

Taking the reciprocal of both sides:

f = -15 cm

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Left skewed histograms are shown by the left tail , smaller values, being longer then the right tail, larger values.

The answer is: A graph shows the horizontal axis numbered 351 to 1,287. The vertical axis is numbered 2 to 6. The graph shows an upward trend from 1 to 1,053 then a downward trend from 1,053 to 1,701

Answer:

A

Step-by-step explanation:

EDGE 2021

Answer:

5.023 I believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

To be a function, each input can only go to one output

A. The input 1 goes to two different output values

(1,6) (1,7) causes it not to be a function

B. This is a function. Each input has only one output value

C. The input 0 goes to two different output values

(0,-5) snf (0,4) causes it not to be a function

Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

We can conclude that the observed frequencies match the expected frequencies.

The chi-square goodness-of-fit test is used to determine whether the observed frequencies in a given dataset match the expected frequencies.

Here, we are testing whether the number of vehicles passing through each of the 8 tollbooths on a regional highway follows a specific distribution.

We will use a significance level of 0.05, which is equivalent to 5%.The null hypothesis is that the observed frequencies match the expected frequencies.

The alternative hypothesis is that the observed frequencies do not match the expected frequencies.

The expected frequencies can be calculated using the formula:

Expected frequency = (Total number of vehicles / Total number of tollbooths)

We will assume that the total number of vehicles passing through the tollbooths is 10,000.

Therefore, the expected frequency for each tollbooth is:

Expected frequency = (10,000 / 8) = 1250.

Now, we need to collect data on the actual number of vehicles passing through each tollbooth over a certain period of time. Let's say that we collect the following data:

Tollbooth 1: 1350 vehicles

Tollbooth 2: 1300 vehicles

Tollbooth 3: 1200 vehicles

Tollbooth 4: 1280 vehicles

Tollbooth 5: 1220 vehicles

Tollbooth 6: 1310 vehicles

Tollbooth 7: 1240 vehicles

Tollbooth 8: 1400 vehicles.

To perform the chi-square goodness-of-fit test, we need to calculate the test statistic:

χ² = ∑(Observed frequency - Expected frequency)² / Expected frequency.

For each tollbooth, the calculation is as follows:

Tollbooth 1: (1350 - 1250)² / 1250 = 0.64

Tollbooth 2: (1300 - 1250)² / 1250 = 0.16

Tollbooth 3: (1200 - 1250)² / 1250 = 0.64

Tollbooth 4: (1280 - 1250)² / 1250 = 0.23

Tollbooth 5: (1220 - 1250)² / 1250 = 0.72

Tollbooth 6: (1310 - 1250)² / 1250 = 0.96

Tollbooth 7: (1240 - 1250)² / 1250 = 0.08

Tollbooth 8: (1400 - 1250)² / 1250 = 1.44

The total test statistic is the sum of these values:

χ² = 0.64 + 0.16 + 0.64 + 0.23 + 0.72 + 0.96 + 0.08 + 1.44 = 4.23.

Next, we need to find the degrees of freedom.

This is equal to the number of categories (tollbooths) minus 1:

df = 8 - 1 = 7

We can use a chi-square distribution table to find the critical value of chi-square for 7 degrees of freedom and a significance level of 0.05.

The critical value is 14.07.Since our test statistic (4.23) is less than the critical value (14.07), we fail to reject the null hypothesis.

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Answer:

When she came to work the next day, she was delighted because four hundred sixteen hundred, nine hundred forty-three containers had been delivered. How many things (Problem 3) would fill them all?

https://www.louisianabelieves.com/docs/default-source/assessment/grade-7-answer-key.pdf

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the total Cost = y

Let the monthly payment number = x

Let the y intercept = 64

y = 26x + 64

610 = 26x + 64                  Subtract 64 from each side

-64             - 64

546  = 26x

26x = 546                         Divide by 26

x = 546/26

x = 21 months

Answer:

x = -5

y = -4

Step-by-step explanation:

5x - 4y = -9

10x - 8y = -18

10x - 7y = -22

-y = 4

y = -4

Substitue y into any equation

5x - (-16) = -9

5x = -25

x = -5

Answer:

28.27 rounded orrrr 28.27433388 not rounded.

Step-by-step explanation:

area of circle=πr^2

radius=3 km

3^2=9

9*π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) =1/2 Diameter

=60/2

=30km

Area = π x (30)²

= π x 900

= 2027km²

Step-by-step explanation:

fair coin is two sided Head H and Tail T

thrown 3 times

number of sample space n(s)=2³=>8

sample space (s)={HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}

no of a head and two tails= 3/8