What is the domain of the function?
A XER
B x≤5
C y≤ 5
D y≥5

What Is The Domain Of The Function?A XERB X5C Y 5D Y5

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Domain is the set of x values, so we can cross off C and D as answer choices as those would be possible answer choices for range. Looking at the graph, you can see the graph continues infinitely. The domain of the function is all real numbers, or A.


Related Questions

a survey showed that a family of four spends an average of $215.60 per day while on vacation. suppose a sample of 64 families of four vacationing at niagara falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $74.50. a. develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting niagara falls. 9 pts. b. based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting niagara falls differs from the mean reported by the survey? explain. 1 pt.

Answers

The confidence interval is (233.8436; 271.0564).

What is a confidence interval?

The likelihood that a population parameter will fall between a set of values for a specific percentage of the time is referred to as the confidence interval. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

What is the margin of error?

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings.

We have,

Sample mean = 252.45

Sample standard deviation = 74.50

n = 64

α = 0.05

By applying the margin of error formula, we get

Margin of Error = tα/2 * s/√n

df = n - 1 = 64 - 1 = 63

t(α/2, df = 63) = 1.998

Margin of Error = 1.998 * 74.50/√64

Margin of Error = 18.6064

The confidence interval = 252.45 ± 18.6064

= (233.8436; 271.0564)

Hence, the confidence interval is  (233.8436; 271.0564).

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Lin rode a bike 20 miles in 150 minutes. She rode at a constant speed. How long did it take her to ride 6 miles

Answers

Answer: 45 minutes

Step-by-step explanation:

She rides 150/20 minutes per mile which is 7.5 minutes per mile. So it would take her 45 minutes to ride 6 miles because 6 × 7.5 = 45.

2 1. The drama teacher is making bandanas for costumes. She is cutting yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana. (Example 1)​

Answers

The equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].

What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the equation to get fabric used in each bandana:

Fabric cutting out to make 6 bandanas is 1/2 yards.

Then, the fabric in each bandana will be:

1/2 ÷ 6 = x

Solve as follows:

1/2 ÷ 6 = x1/2 × 1/6 = x1/12 = x

So, 1/12 yards of fabric is used in each bandana.

Therefore, the equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].

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Complete question:

The drama teacher is making bandanas for costumes. She is cutting 1/2 yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana.

Select the correct answer. There are three cell phone models in a store. When selecting a new cell phone, 25% of the customers choose model A, 33% choose model B, and 32% choose model C. The remaining customers buy from an old collection on which the average profit is $50. If the average profit earned on models A, B, and C is $60, $75, and $40, respectively, what is the expected value of the profit earned on all models?

Answers

Given the average profits on the different cell phone models, the expected value of profit to be earned on all models is $57.55

How to find the expected value?

The expected value of the profit on these models of cell phones can be found based on the number of customers who choose the model and the profit of that model.

The expected value of the profit on all the models is:

= ∑ ( percentage of customers x Profit per model)

= (Percentage of customers model A x Profit from model A) + (Percentage of customers model B x Profit from model B) + (Percentage of customers model C x Profit from model C) + (Percentage of customers old collection x Profit from old collection)

= (25% x 60) + (33% x 75) + (32% x 40)  + ( (1 - 25% - 33% - 32%) x 50)

= $57.55

Options for this question are:

$87.25$57.55$54.67$75

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Convert 90°F into °C​

Answers

Answer:

32.2222

Step-by-step explanation:

Answer: 32.22 degrees Celsius.

the real estate group ny reports that the mean monthly rent for a one-bedroom apartment without a doorman in manhattan is $2886. assume the standard deviation is $586. a real estate firm samples 94 apartments. what is the probability that the sample mean rent is less than $2,918.03?

Answers

Probability that the sample mean rent is less than $2,918.03 is 0.050154

We are given that the Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2886. Assume the standard deviation is $586.

Also, a real estate firm samples 94 apartments.

Let X  = sample mean rent

The sample mean's z-score probability distribution is provided by;

              Z =  X-u/σ/[tex]\sqrt{n}[/tex] ~ N(0,1)

where,  u= population mean monthly rent = $2,886

             σ = standard deviation = $586

             n = sample of apartments = 94

Now, the probability that the sample mean rent is less than $2,918.03 is given by = P( < $2,918.03)

P( < $2,918.03) = P(Z < 0.52)= 0.050154

The above probability is calculated using z table by looking at value of x = 0.52 in the z table which have an area of 0.050154

Therefore, probability that the sample mean rent is less than  $2,918.03is 0.050154

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I really need help on this one.The amount of milk needed for each of 5 recipes is shown on the line plot.What is the total amount of milk needed for the recipes?

Answers

The total amount of milk needed for the recipes, considering the line plot, is of:

5.25 cups.

How to obtain the total amount of milk needed for the recipes?

The total amount of milk needed for the recipes is obtained adding all the measures of the line plots.

The measures of the line plot given by the image at the end of the answer are given as follows:

Two measures of 1/4 cups = 0.25 cups, which is half the distance between 0 and 1/2.One measure of 1.25 cups, which is the value at the midpoint between 1 and 1.5.One measure of 1.5 cups.One measure of 2 cups.

The total amount is given by the sum of all these measures, hence:

2 x 0.25 + 1.25 + 1.5 + 2 = 5.25 cups.

Missing Information

The line plot is given by the image at the end of the answer.

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for a binomial probability distribution with 8 trials and probability of success equal 0.95. what is probability of exactly six successes? (use the binomial tables)

Answers

0.0515  is probability of exactly six successes .

What is probability in math?

Probability refers to potential. The subject of this area of mathematics is the occurrence of random events. The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.

Binomial probability with

Number of trials (n) = 8

probability of success ( ρ ) = 0.95

              ρ = 0.95

     p + q = 1

        q = 1 - p

            = 1 - 0.95

        q = 0.05

 x ~  bin( n , ρ )

       ρ( X = x ) = ⁿCₓ Pˣ . qⁿ⁻ˣ

the probability of exactly six success .

    ρ ( X = 6 ) = ⁸C₆ ( 0.95)⁶ ( 0.05 )⁸ ⁻⁶

                     = 28 ( 0.7351 ) ( 0.05)²

                       = 28 ( 0.7351 ) ( 0.0025 )

                        = 0.051457

        ρ( X = 6 ) = 0.0515

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the graph shows the relationship between the amount of peaches in pounds xand the cost of peaches in dollars y

PLEASE HELP

Answers

The proportional relationship between the amount of peaches in pounds x and the cost of peaches in dollars y is given as follows:

y = 2.5x.

Direct proportional relationship

A direct proportional relationship is a special case of a linear function, with an intercept of zero, hence the output variable symbolized by y is given by the multiplication of the input variable symbolized by x and the constant of proportionality symbolized by k, as follows:

y = kx.

In this problem, we have to find the constant k taking a point of the graph.

The point taken is:

(2,5).

Meaning that when x = 2, y = 5.

Hence the constant is calculated as follows:

5 = 2k

k = 5/2

k = 2.5.

Then the equation is:

y = 2.5x.

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I need help on this problem can anyone help me?

Answers

The polygon's WXYZ and ABCD are similar.

What is similar figures?

The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.

Consider, the polygons WXYZ and ABCD

The angles, "∠W and ∠A"  and "∠Y and ∠C" are congruent to each other.

Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.

Now consider, the sides

The sides "WZ and AD", "XY and BC"  and "WX and AB" , "ZY and DC" are having the equivalent ratio.

Therefore, the polygons WXYZ and ABCD are similar.

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i need help with this asap please!!!

Answers

Answer:

54°

Step-by-step explanation:

m and the 54° angle are VERTICAL ANGLES. That means they are the same measure.

Answer:

Step-by-step explanation:

54 degree

Describe a data set that has an outlier. How does the outlier affect the residual? Explain.

Answers

A data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.

What is a data set?A data set is a group of related data. In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable.

Data set with an outlier:

In a data graph or dataset, you're dealing with, an outlier is a data point that is wildly high or wildly low in comparison to the closest data point and the rest of the nearby coexisting values. Outliers are extreme values that significantly deviate from the dataset's or graph's normal distribution of values.Observed data points that deviate greatly from the least-squares line are known as outliers. They have significant residuals, which are measured as the vertical separation between the line and the point. It is important to carefully investigate outliers. Sometimes, for a variety of reasons, they ought to be excluded from the data analysis.

Therefore, a data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.

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Find the LCM of
2 x 3 x 3 x 5 and 3 x 3 x 5 x 5

Answers

Answer:

LCM of 90 and 225 = 450

I'm not too sure I understand

2 x 3 x 3 x 5 = 90, and 3 x 3 x 5 x 5 = 225

90: 90, 180, 270, 360, 450

225: 225, 450

LCM = 450

In any triangle the sum of the measures of the angles is 180°. And ABC is three times as large as B and also 16° larger than C. Find the measure of each angle

Answers

The measures of the each angle of the triangle is 84, 28 and 68 degrees.

How to find the measure of angles in a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.  

The triangle has the sum of the measures of the angles as 180°.

Angle A is three times as large as angle B and also 16° larger than C.

Therefore,

let

angle A = x

Angle B = x / 3

Angle C = x - 16

Therefore,

x + x - 16 + x  /3  = 180

7 / 3 x - 16 = 180

7 / 3 x = 180 + 16

7 / 3 x = 196

cross multiply

7x = 196 × 3

7x = 588

divide both sides by 7

x = 588 / 7

x = 84

Therefore,

A = 84 degrees

B = 84 / 3 = 28 degrees

C = 84 - 16 = 68 degrees

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A coffee company surveyed 40 potential customers to see where they would
like the company's new organic coffee sold. Respondents were given the
following four locations and asked to choose as many as they liked: grocery
stores, drugstores, health food stores, and big box stores. The results are
summarized in the bar graph below, with the number of times each location
was chosen noted above the corresponding bar.

Answers

According to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.

We are given;

Total number of potential customers =40

From the bar graph number of respondents are following;

At grocery stores = 40

At drugstores respondents = 32

At health food stores = 8

At big box stores = 20

So,

The average number = Total number of respondents / Total number of potential customers

The average number = (40 + 32 + 8 + 20) / 40

The average number = (100) / 40

The average number = 2.5

Thus, according to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.

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a tire manufacturer has a 60,000 mile warranty for tread life. the manufacturer considers the overall tire quality to be acceptable if less than 5% are worn out at 60,000 miles. the manufacturer tests 250 tires that have been used for 60,000 miles. they find that 3.6% of them are worn out. with this data, we test the following hypotheses.h0: the proportion of tires that are worn out after 60,000 miles is equal to 0.05.ha: the proportion of tires that are worn out after 60,000 miles is less than 0.05.in order to assess the evidence, which question best describes what we need to determine?

Answers

the best question is that if they can examine a sample of tires used for 60,000 miles and determine the proportion that is worn out, then how likely is that proportion to be 3.6% or less?

we are given the information that an A tire manufacturer has a 60,000-mile warranty and the manufacturer considers the overall tire quality to be accepted if less than 5% are worn out at 60,000 miles, also the manufacturer tested 250 tires that have been used for 60,000 miles. they find that 3.6% of them are worn out. So here the Hypotheses can be that:

1) The proportion of tires that are worn out after 60,000 miles is equal to 0.05 and

2) The proportion of tires that are worn out after 60,000 miles is less than 0.05.

We need to deny the first hypothesis with an alternative one. You cannot demonstrate that the average is 3.6%, but if you by one means or another decide that the probability the average is greater than 3.6% is lower than 100% minus your confidence level, at that point you'll be able to deny the first hypothesis and acknowledge the second one as new average.

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The medical department at a local government agency has compiled test results for sick individuals who have been tested for the flu. They have found that not all people who test positive for the flu actually have the flu, and some people who test negative for the flu actually have the flu. The following tree diagram shows the conditional relative frequencies.


A tree diagram shows sick individuals branching off into two categories, have the flu and do not have the flu, which is labeled 25%. Have the flu branches off into two sub-categories, test positive, which is labeled 95%, and test negative. Do not have the flu branches off into two subcategories, test positive and test negative, which is labeled 92%.


What percent of sick individuals test negative for the flu?


23%

27%

75%

25%

Answers

Answer: it is not 27%

Step-by-step explanation:

Solve the inequality for x and identify the graph of its solution.
4|x + 2| < 8

Answers

Solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.

Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.

As given in the question,

Given inequality is :

4|x + 2| < 8

Divide by 4 both the side of inequality we get,

⇒(4|x + 2|)/ 4 < 8/4

⇒|x+2| < 2

⇒ (x+2) < 2  or (x+2) >-2

⇒ x< 2-2 or x > -2 -2

⇒ x < 0 or x > -4

Solution of its graph is shown by option B number line where open interval -4 is greater than and less than open interval 0.

Therefore, solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.

Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.

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Evaluate if x³ if x = 6


This is a quiz but I was sick so I do now to do this pls show work

Answers

Answer:

Step-by-step explanation:

Answer: 108

Step-by-step explanation:

6 x 6 x 6=10

what is 9/10 x (-1 1/4)

Answers

Answer:

-2.475

Step-by-step explanation:

given f(x) =2x^2+5, evaluate f(4)

Answers

Answer:

f(4) = - 27

Step-by-step explanation:

substitute x = 4 into f(x) , that is

f(4) = - 2(4)² + 5 = - 2(16) + 5 = - 32 + 5 = - 27

Answer:

69

Step-by-step explanation:

Replace x with 4

-2(4)^2 +5

-8^2+5

64+5

69

ints
mily
Question 5
Which of the following is true?
O1-51-4
O1-41 <1-51
O1-51-5
O 1-41 > 151
Question 6

Answers

After simplification, the second option |−4| < |−5| is true.

In the given question,

There are four options. We have to check which option is true.

The given options are

1) |−5| < 4

2) |−4| < |−5|

3) |−5| = −5

4) |−4| > |5|

To find the true option we solve the given option one by one.

The first option is

|−5| < 4

Now solving

As we know that every value from the mod always give positive value.

So if we solve |−5| then the value is 5 and 5 is greater than 4. But in the given statement states that 4 is greater that 5. So the first statement is wrong.

Now solving the second statement.

|−4| < |−5|

After solving |−4|, the value is 4 and |−5| is 5.

So the simplified statement is 4 < 5 which is true.

Hence, the second statement is true.

Now we get the true statement so we haven't solve any further option.

If you want the solve next option the the way of solving the option is same.

Hence, the second option |−4| < |−5| is true.

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an inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is 9 cm. find the rate at which the water level is rising when the water level is 2 cm.

Answers

The rate at which the water level is rising when the water level is 5 cm is;

dh/dt = 1.6 cm/s

What is a PYRAMID?A structure with triangle outside surfaces that converge to a single step at the summit is referred to as a pyramid (from Greek: pyrams)]. This shape is roughly a pyramid in the geometric sense. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has at least three triangular exterior surfaces (at least four faces including the base). A typical variation is the square pyramid, which has a square base and four triangular exterior surfaces.Because a pyramid is built with the pyramidion at the top and the remainder of the weight closer to the ground[3], less material will be pressing down from above. Early civilizations could build stable structures thanks to this weight distribution.

Acc to our question-

length of square side; s = 4 cmheight of pyramid; h = 8 cmvolumetric rate; dV/dt = 30 cm³/sSince the base is square shaped and we know that area of a square = s², then we can say that;Volume of pyramid = ¹/₃s²hThe pyramid has a height of 8 cm and length of its' square base side is 8 cm.Now, regardless of the water height, the surface of the water will always be square shaped. This implies that the ratio of the height to the top side of square will always be the same. Thus, we can say that; s = 4/8 h = h/2Thus, Volume is;V = ¹/₃ × (h/2)² × hV = ¹/₃ × h³/4V = h³/12dV/dt = (3h²/4) dh/dtPlugging in the relevant values gives;30  = (3 × 5²/4) dh/d120 = 75 dh/dtdh/dt = 120/75dh/dt = 1.6 cm/s

Hence,The rate at which the water level is rising when the water level is 5 cm is; dh/dt = 1.6 cm/s

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Kaitlyn bakes two rectangular cakes to put on top of each other. Each cake is 6 inches wide, 12 inches long and 3 inches high. She removes the cake from the pan to frost it. How many square inches of frosting does she need for both cakes?

Answers

ANSWER: 216 inches

WORK:
6x3x12=216

help

How many terms are in the following
expression:

5x + 3 - x +2x + 2/3x​

Answers

3 like terms ! hope this helps you

Solve the system by substitution.

Answers

Answer:

(-7, -7)

Step-by-step explanation:

         y = x; x = y

9x - 2y = -49

9(y) - 2y = -49

9y - 2y = -49

7y = -49

÷7    ÷7

----------------

y = -7

y = x

-7 = x

or

9x - 2y = -49

9x - 2(-7) = -49

9x + 14 = -49

      -14     -14

-------------------

9x = -63

÷9    ÷9

---------------

x = -7

(-7, -7)

I hope this helps!

Bret Rockford bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan. At the end of 1 year he owes the bank $70,000. Since then interest rates have increased to 13%. The bank will renew the mortgage at this rate, or Bret can pay the bank $70,000. He decides to renew and will now pay $11.72 monthly per thousand on his loan. (You can ignore the small amount of principal paid during the year.)

The old monthly payment is $
.
The new monthly payment is $
.
The percent increase in her monthly payment (to the nearest tenth) is
%

Answers

The old monthly payment was =  10.67 x 70 = 746.9

The new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

Given,

Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan

According to the question:

So, per thousand value of $70,000 is 70000/1000 =70

Now, the old monthly payment was =  10.67 x 70 = 746.9

He decides to renew and will now pay $11.10 monthly per thousand on his loan.

So, the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100

9.8406 % and to nearest tenth it is 9.8406%

Hence,  the old monthly payment was =  10.67 x 70 = 746.9

the new monthly payment is = 11.72 x 70 = 820.4

The percent increase in his monthly payment is =9.8406%

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solve for b: 84,250=b(1.008)120

Answers

Answer: 696.511

Step-by-step explanation:

84,250 = b(1.008)120

84250 = 120.96b

b = 696.511

On a coordinate plane, a parabola opens up. It goes through (negative 7, 5), has a vertex at (negative 4, negative 4), and goes through (negative 1, 5).
The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.

The vertex is the maximum value.
The axis of symmetry is x = –4.
The domain is all real numbers.
The range is all real numbers.
The function is increasing over (–∞, –4).
The x-intercepts are at (–6, 0) and (–2, 0).

Answers

Answer:

B: The axis of symmetry is x + -4.

C: The domain is all real numbers.

F: The x-intercepts are at (-6, 0) and (-2, 0).

Step-by-step explanation:

worked on edge 2022

The answer is the First, Third, and Last

help help help helppp

Answers

The coordinate of image of P is (-6,-4)

What in math is a coordinate?

a pair of numbers that utilize the horizontal and vertical breakups from the two reference axes to define a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

P (-2,2)
Translation (x,y)=(x-4,y-6)
x= -2
y= 2
x-4= -6
y-6= -4
Hence the coordinate of image of p is (-6,-4)

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Using what you have learned about series and parallel circuits, explain how some appliances in your kitchen receive power while others do not. (PLEASE HELPP) Explain the connection, albeit a deadly one, between Charlotte Corday and Jean-Paul Marat. Describe the personality, goals and the ultimate fate of Robespierre. 3. Martin finishes a swim race in 78.934 seconds. His teammate, Abby finishes the race in 83.978 seconds and their last teammate finishes the race in 84.765 seconds. If the teammates were to have a combined time of less than 250 seconds to qualify to the next round, did they qualify or not? How do you know?help me please i really need help! What is the domain of the following relation? a. {-3, -1, 1, 4, 5} b. {-5, 0, 2, 6} c. {-3, -5, 0, 2, 4, 5, 6} d. there is no domain which data over cable service interface specification (docsis) layer is used by the cable modem termination system (cmts) to differentiate between cable modems? ncti shopping at savers mart, Lisa buys her children four shirts and three pairs of pants for $85.50. she comes back the next day and buys three shirts and five pairs of pants for $115. What is the price of each shirt and each pair of pants. To what extent do you think the criminal justice system response to the pandemic has had an impact on the provision of public safety? Here you must look at the crime rates during the pandemic and measures introduced during the pandemic such as curfews and the ban of alcohol. kayla used her cell phone for four days . her average calling time was 130 minutes each day .suppose that kayla used the phone for m minutes on fifth day . write an algebraic expression for the average number of minutes she spent on the phone over five days. valuerelative frequency 10.15 20.30 30.45 40.10 if there are a total of 40 data values, with what frequency does the data value 1 occur? Adela paid $64.25 for 5 tickets at the skating rink. Calculate the unit rate per ticket. How does stacking the deck help a candidate? There are 728 calories in eight ounces of a certain ice cream. How many calories are there in two pounds? \text{1 pound}=\text{16 ounces} 1 pound=16 ounces Before you try that problem, answer the question below. How many ounces will you need to find the number of calories for? When acetylcholine binds to receptors at the motor end plate, the sarcolemma becomes?. Cubism was a 20th century art movement founded by two artists: pablo picasso and blank space__________. choose the answer. question 13 options: alphonse mucha windsor mccay franz marc georges braque Which of the following is a structural problem that has contributed to unemployment and poverty in the United States?a. Job enlargement and job enrichmentb. The relocation of manufacturing plants from offshore countries to the United Statesc. The overall shift from service to manufacturing occupationsd. Technological advances and changing patterns of consumerism Which sentence from the text helps to develop the theme that life-changing transformations can result from chance encounters?QUESTIONS FROM "A METAMORPHOSIS" in asch's famous research study, participants agreed with people making an incorrect choice in a line length judgment task. this study is a classic study of language consists of smaller components, like words, that can be combined to form larger ones, like phrases, to create sentences, which themselves can be components of a larger story. this property is known as Carlos goes out to lunch. The bill, before tax and tip, was $13.80. A sales tax of 3% was added on. Carlos tipped 23% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent. Sodium and lithium have similar chemical properties. What characteristic of these elements explains why they are chemically similar?.