sketch the graphs y=|x|, y=|x|+2, y=|x|-1

Answers

Answer 1

The graph of y=|x| is a v-shaped graph that starts at the origin and continues infinitely in both the positive and negative x-directions. The graph of y=|x|+2 is the same v-shaped graph, but it has been shifted up two units so that it no longer intersects the x-axis. Finally, the graph of y=|x|-1 is a v-shaped graph that has been shifted down one unit so that it intersects the x-axis at (1,0) and (-1,0). All three graphs are symmetric with respect to the y-axis.


Related Questions

For a confidence level of 99% with a sample size of 19, find the critical t value.

Answers

To find the critical t value for a confidence level of 99% with a sample size of 19, we can use a t-distribution table or a calculator.

Using a t-distribution table with 18 degrees of freedom (19 - 1 = 18), we can find the critical t value for a two-tailed test at a 99% confidence level to be approximately 2.878.

Therefore, the critical t value for a confidence level of 99% with a sample size of 19 is 2.878 (rounded to three decimal places).
Upon using a t -table or a calculator, we see that the critical t -value for this 99% confidence interval is t0.005=2.581.
I hope this is right

URGENT!! I WILL GIVE
BRAINLIEST!!!!! AND ALSO 100 POINTS!!!!!

Answers

Answer: All of the slopes are the same.

Hudson measure the volume of a sink basin by modeling it as a hemisphere. Hudson measures its circumference to be 91 3/4 inches. Find the sink's volume in cubic inches.
Round your answer to the nearest tenth if necessary.

Answers

Rounding to the nearest tenth, the sink's volume is approximately  [tex]6328.2[/tex] cubic inches.

What is the Hudson measures?

The circumference of a hemisphere is  represented by the formula:

[tex]C = 2 \pi r[/tex]

here C is the circumference and r is the radius of the hemisphere.

it is given that the circumference C as [tex]91 3/4[/tex] inches. now convert into a decimal

[tex]91 3/4 inches = 91.75 inches[/tex]

we are having

 [tex]91.75[/tex] inches [tex]= 2πr[/tex]

Solving for r, we get:

 [tex]r = 91.75 / (2\pi) \approx 14.599[/tex] inches (rounded to three decimal places)

The volume of a hemisphere is represented by formula

[tex]V = (2/3)\pir^3[/tex]

Substituting our value of r, we get:

[tex]V = (2/3)\pi(14.599)^3 \approx 6328.2[/tex] cubic inches

Therefore, rounding to the nearest tenth, the sink's volume is approximately  [tex]6328.2[/tex] cubic inches.

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Need help will give brainliest and 5 stars!

For this graph, for each vertical asymptote, write down the two limits that describe the graph of the function near the asymptote.

Answers

The limits on the vertical asymptotes of the function are given as follows:

[tex]\lim_{x \rightarrow -6^{-}} f(x) = \infty[/tex][tex]\lim_{x \rightarrow -6^{+}} f(x) = -\infty[/tex][tex]\lim_{x \rightarrow -2^{-}} f(x) = \infty[/tex][tex]\lim_{x \rightarrow -2^{+}} f(x) = -\infty[/tex][tex]\lim_{x \rightarrow 6^{-}} f(x) = -\infty[/tex][tex]\lim_{x \rightarrow 6^{+}} f(x) = \infty[/tex]

What are the vertical asymptotes of a function?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

On a graph, at the vertical asymptotes, the graph just approaches the point, it does not cross the point.

Hence the vertical asymptotes are given as follows:

x = -6, x = -2 and x = 2.

We must observe the limits to the left(denoted by the - sign) and to the right (denoted by the + sign) of each asymptote.

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1.2 A Telkom account holder notices that her phone bills for three consecutive months were
significantly different. In May, her account was one and a half times more than her account in June.
Her account in July was R 50 more than her account in June. In total, she spent R 575 in cellular-
phone accounts in the three months. What was her account for each month?

Answers

The balance on the account of the Telkom account holder, every month was :

May - R 225June - R 150July R 200

How to find the account balance ?

We know that May was one and half times June :

M = 1. 5 x J

July was R 50 more than June :

L = J + 50

Total spent was R 575 :

M + J + L = R 575

Then we can solve by substitution:
( 1. 5 J ) + J + ( J + 50 ) = 575

3. 5 J + 50 = 575

3. 5 J = 525

J = 525 / 3. 5 = R 150

L would be:

= 150 + 50

= R 200

M would be:

= 1. 5 x 150

= R 225

The balances for the Telkom account holder is therefore May - R 225, June - R 150, and July R 200.

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Some states now allow online gambling. As a marketing manager for a casino, you need to determine the percentage of adults in those states who gamble online. How many adults must you survey in order to be 99% confident that your estimate is in error by no more than three percentage points? Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of adults who gamble online. n= (Round up to the nearest integer.)​

Answers

The sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%

We have,

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

MOE =Z_{score} * s/√n

Where  Z_{score} is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

MOE = 2% = 0.02 and

α = 1-0.95 = 0.05

Let's assume the value of p = 0.5, and q = 0.5

From the table:

Z_(0.05/2)

= Z_(0.025)

= 1.96

n = 2401

For part (b):

p = 18% = 0.18, and q = 0.82

so, we get,

n = 1417.5 = 1417

Thus, the sample size for part (a) is 2401, and the sample size for part (b) is 1417 if the margin of error is no more than two percentage points and use a confidence level of 95%

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I just want the answers, I’ve been on the same lesson since Thursday and no teacher from my school will help ‍♀️

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The standard form of the equation, based on the foci and co - vertices would x ² / 250 + y ² / 25 = 1 .

How to write the standard form ?

The foci and co-vertices must be known to compose the equation of an ellipse, which requires determining a, b, and c values. The major axis, minor axis and distance between the center and foci are related to these variables.

Their connection can be symbolized as follows: a for major axis, b for minor axis, and c for the length of the distance between the center and foci:

a ² = b ² + c ²

a ² = 5 ² + 15 ²

a ² = 25 + 225

a ² = 250

a = √ 250

The standard equation would be:

x ² / a ² + y ² / b ² = 1

x ² / 250 + y ² / 25 = 1

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CAN SOMEONE HELP WITH THIS QUESTION?

Answers

Answer:

X2 = 1.697916 X3 = 1.431

Step-by-step explanation:

use Newton's formula of the method of approximating of zeros of a function : x_n+1. = x_n - f(x_n)/f'(x_n)

ng
he
34. The dimensions of Dawn's porch are shown.
Dawn's Porch
6 feet
A
B
6 feet
A. 32
2 feet
11 feet
What is the area, in square feet, of Dawn's porch?
B. 42
2 feet
C. 46
D. 50

Answers

Answer:

[tex]the \: answer \: for \: the \: question \: is \: 50[/tex]

The cost in dollars to produce x shovels in a factory is given by the function C(x)=33x+430. The number of shovels that can be produced in h hours is given by the function N(h)=30h
7. Find the rule for​ C(N(h)).
8. Find the cost when h=12 hours

Answers

Okay, to find the maximum number of shovels that can be produced with $10,000, we need to do the following:

1) Set the cost function C(N(h)) = 10,000. So: 990h + 430 = 10,000

2) Subtract 430 from both sides: 990h = 9,570

3) Divide both sides by 990: h = 9.75 (round to 10 hours)

4) Substitute 10 hours into the function for number of shovels:

N(10) = 30(10) = 300 shovels

Therefore, the maximum number of shovels that can be produced with $10,000 is 300 shovels.

Let me know if you have any other questions!

The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = Sqrt 2 + t , y = 1 + 1 /2 t, where x and y are measured in centimeters. The temperature function satisfies Tx(2, 9) = 7 and
Ty (2, 9) = 1. How fast is the temperature rising on the bug's path after 2 seconds? (Round your answer to two decimal places.)

Answers

The temperature is rising at a rate of 7.5 degrees Celsius per second along the bug's path after 2 seconds.

What is differentiation?

A derivative of a function with regard to an independent variable is defined as differentiation. In calculus, differentiation can be used to calculate the function per unit change in the independent variable.

We can use the chain rule of differentiation to find how fast the temperature is changing on the bug's path. Let T denote the temperature function, and let x and y be functions of time t given by x = sqrt(2) + t and y = 1 + t/2. Then the temperature function on the bug's path is given by T(x(t), y(t)), and we want to find dT/dt at t = 2.

Using the chain rule, we have:

dT/dt = dT/dx * dx/dt + dT/dy * dy/dt

We are given Tx(2, 9) = 7 and Ty(2, 9) = 1, so we can evaluate the partial derivatives at (x, y) = (2, 9):

dT/dx(2, 9) = 7

dT/dy(2, 9) = 1

To find dx/dt and dy/dt, we can take the derivatives of x and y with respect to t:

dx/dt = 1

dy/dt = 1/2

Now we can plug in the values:

dT/dt = 7 * 1 + 1 * 1/2

dT/dt = 7.5

Therefore, the temperature is rising at a rate of 7.5 degrees Celsius per second along the bug's path after 2 seconds.

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Teresa bought 6 CDs that were each the same price. Including sales tax, she paid a total of 84.60 . Each CD had a tax of 0.80 . What was the price of each CD before tax?

Answers

Answer:0.70

Step-by-step explanation:

write 0.08 as a percentage.​

Answers

Answer:

8%

Step-by-step explanation:

4. You have been offered $3,000 in 4 years for providing $2,000 today into a business venture with a friend. If interest rates are 10%, is this a good investment for you?

Answers

Step-by-step explanation:

To determine if this is a good investment, we can use present value calculations to see what the $3,000 payment in 4 years is worth today:

Present value of $3,000 in 4 years at 10% interest rate = $3,000 / (1 + 0.10)^4 = $2,102.50.

If we invest $2,000 today and get a payment of $2,102.50 in 4 years, our net gain would be:

Net gain = $2,102.50 - $2,000 = $102.50

Therefore, investing $2,000 today with an interest rate of 10% and receiving $3,000 in 4 years would yield a net gain of $102.50.

While any gain is better than no gain, a return of $102.50 on an investment of $2,000 over a period of 4 years may not be considered a great investment. It's up to the individual to decide whether they feel that the potential gain is worth the initial investment and risk involved.

NEED HELP WILL GIVE BRAINLIEST AND WILL RATE. Show work and I only need #3

Answers

Answer:

The graph will be translated down 2 units.

The new horizontal asymptote is y=2 because the graph now crosses over the y axis at 2. This is at the point (0,2).

QUICKLY HELP PLEASE ITS VERRY MUCH SO APPREICATED

Answers

The mean absolute deviation (MAD) of the data set include the following: A. 11.

How to calculate the mean absolute deviation?

In Mathematics, MAD is an abbreviation for mean absolute deviation and the mean absolute deviation (MAD) of a data set can be calculated by using this formula;

MAD = 1/n ∑|x - μ|

Where:

n represents the number of data (observed values)μ represents the mean of the data set.x represents the individual data (values).

By substituting the given parameters into the MAD formula, we have the following;

MAD = 1/10 [(325 - 290) +  (310 -290) +(289-290)+(288-290)+(285-290)+(285-290)+(285-290) + (280-290) + (280-290) + (273-290)]

MAD = 1/10(35 + 20+1+2+5+5 +5 + 10 + 10 + 17).

MAD = 1/10(110)

MAD = 11

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18 students each collected the same number of Cans for a project. If the students collected a total of 306 cans, how many cans did each student Collect?​

Answers

Using division operation, the number of cans collected by each of the 18 students is 17.

What is division operation?

Division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

Division operation involves the dividend (the number being divided), the divisor (the number dividing the dividend), and the product called the quotient.

The total number of students engaged in the can collection project = 18

The total number of cans collected = 306

The number of cans collected by each, if each collected the same quantity = 17 (306 ÷ 18)

Thus, based on a division operation, the number of cans each student collected is 17.

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The probability of winning a profit of twice your wager is 1/6, the probability of winning a profit equal to your wager is 1/3, and all other probabilities of winning are zero. What is your expected value for this game? Assume the wager is $1.

Answers

The expected value for the game is 2/3.

What is expected value?

The average value we would anticipate to find if we repeated an experiment several times is the anticipated value of a random variable. It is calculated by averaging the outcomes of multiplying each potential result of the random variable by the associated probability. In other words, it's the weighted average of all potential possibilities, with the weights being the likelihoods that each outcome would actually happen. In several disciplines, including finance, economics, and engineering, predictions and judgements are made using the expected value, a fundamental idea in probability theory.

Let us suppose the profit = X.

Thus,

Probability of winning twice our wager = 1/6 thus, the expected value is:

(2)(1/6) = 1/3

No, for profit equal to wager we have:

(1)(1/3) = 1/3

The total expected value is:

E(X) = (1/3) + (1/3) + 0 = 2/3

Hence, the expected value for the game is 2/3.

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NEED HELP PLEASE NOW

Answers

Answer:

im pretty sure its the first one that you chose :)

Step-by-step explanation:

John invested in a savings bond for 4 years and was paid simple interest at an annual rate of 4%. The total interest that he earned was $48. How much did he invest?

Answers

the principal or invested amount is $41.38

The computation of the invest amount is given below:

As we know that

Principal = Amount ÷ (1 + rate × time)

= $48 ÷ (1 + 0.04 × 4)

= $48 ÷ 1.16

= $41.38

Hence, the principal or invested amount is $41.38

Basically we have applied the above formula so that the same would be calculated

Evaluate pqr - s2t, if p = -2, q = 5, r = -7, s = 0, and t = 4.
I need help fast!!

Answers

The answer of the given expression is 70.

What is the meaning of Evaluation?

Evaluation refers to the process of assessing, examining, or appraising something to determine its worth, effectiveness, or quality. It involves the systematic and objective assessment of various aspects or criteria to form an informed judgment or opinion.

What is known by expression?

An expression refers to a combination of numbers, symbols, and mathematical operations that represents a mathematical computation or relationship. It can be as simple as a single number or variable, or it can be more complex involving multiple terms, operations, and functions.

we have to find pqr-s2t:

if p=-2, q=5, r=-7, s=0, t=4

putting values in the expression we get

-2×5×(-7)-0×2×4= 70

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A fair die with sides labeled 1 through 6 is rolled two times. The values of the two
rolls are added together. The sum is recorded as the outcome of a single trial of a
random experiment. Compute the probability that the sum is greater than 10.

Answers

A fair die is rolled twice, then the probability that the sum is greater than 10 is 1/12.

Finding the total number of possible outcomes when the dice is rolled twice:

A total of 6*6 = 36 outcomes are possible as there are 6 outcomes for the first roll and 6 outcomes for the second.

Making a list of all results that add up to greater than 10:

5 + 6 = 11

6 + 5 = 11

6 + 6 = 12

There are only three favorable outcomes.

So, the probability of getting a number greater than 10 =

[tex]\frac{no\ of\ favorable\ outcomes}{total\ number\ of\ possible\ outcomes}[/tex]

P(sum > 10) = 3/36 = 1/12

Therefore, there is a 1/12 probability that the sum of the two dice is greater than 10.

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What integer is the square root of 115 closest to?

Answers

Answer:

10

Step-by-step explanation:

Find the size of the following angles

Answers

Step-by-step explanation:

Q1. By linear pair, I know that 72* + unknown angle = 180*

therefore unknown angle = 180-72 = 108*

Now because this is a pentagon, the total of all interior angles of a polygon equals 540*

so 108* + 100* + 110* + 45* (Half of 90 , written as a semi-square) + Y* = 540

Y* = 540 - 363 = 177*

Q2. 360 - (80+70+110) = q

q = 360 - 220 =  140*


Q3. 160+160+ S* = 360*

360* - 320* = S*

S* = 40*

Hope it helps

Which function includes the minimum or maximum value of f as a number that appears as it is shown?

a) f(x)=(x+2)^{2}−16
b) f(x)=(x−2)(x+6)
c) f(x)=x^{2}+4x−12
d) f(x)=x^{2}+6x−2x−12

Answers

The function that includes the minimum or maximum value of f as a number that appears as it is shown is option (c) f(x)=x^2+4x-12.

To find the minimum or maximum value, we can complete the square by adding and subtracting (4/2)^2 = 4 to the function to get:

f(x) = (x^2 + 4x + 4) - 4 - 12
f(x) = (x + 2)^2 - 16

Since (x + 2)^2 is always non-negative, the minimum value of f(x) is -16, which occurs when (x + 2)^2 = 0, or x = -2
We can find the maximum or minimum value of a quadratic function using the vertex formula:

The x-coordinate of the vertex is given by: x = -b/2a

The y-coordinate of the vertex is simply the value of the function at x = -b/2a.

So, in order for the function to include the minimum or maximum value of f as a number that appears as it is shown, we need to rewrite each of the given functions in vertex form.

a) f(x) = (x+2)^2 - 16
Vertex form: f(x) = a(x-h)^2 + k
f(x) = (x-(-2))^2 - 16
f(x) = (x+2)^2 - 16

The vertex occurs at (-2, -16), and the minimum value of the function is -16.

b) f(x) = (x-2)(x+6)
To find the vertex form, we need to expand the expression:
f(x) = x^2 + 4x - 12
Vertex form: f(x) = a(x-h)^2 + k
Completing the square: f(x) = (x+2)^2 - 16

The vertex occurs at (-2, -16), and the minimum value of the function is -16.

c) f(x) = x^2 + 4x - 12
Vertex form: f(x) = a(x-h)^2 + k
Completing the square: f(x) = (x+2)^2 - 16

The vertex occurs at (-2, -16), and the minimum value of the function is -16.

d) f(x) = x^2 + 6x - 2x - 12
Simplifying: f(x) = x^2 + 4x - 12
Vertex form: f(x) = a(x-h)^2 + k
Completing the square: f(x) = (x+2)^2 - 16

The vertex occurs at (-2, -16), and the minimum value of the function is -16.

Therefore, all the functions have the same minimum value of f as a number that appears as it is shown, which is -16.

A full waterbed mattress is 6 ft by 5 ft by 2 ft. The mattress is to be filled with water that weighs 62.4 lb/ft^3. Find the weight of the water in the mattress to the nearest pound.


The waterbed mattress contains approximately ___ lb of water

Answers

The waterbed mattress contains approximately 3,744 lb of water.

How to calculate the weight of the water in the mattress?

To calculate the weight of the water in the mattress, the volume of the mattress is first calculated using the given formula below:

The measurement of the waterbed mattress = 6ft by 5 ft by 2 ft

The volume of the waterbed = Length× width × height

That is = 6×5×2 = 60ft³

If 62.4 lb = 1 ft³

X lb = 60 ft³

Make X the subject of formula;

X = 60× 62.4 = 3,744lb

Therefore, the weight of water that the mattress will contain would be= 3,744lb

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10. A flagpole is supported by two identical wires. What is the distance (X) between the two wires?

Answers

Using the Pythagoras theorem, we can find the value of x to be = 10ft.

Option B is correct.

Define Pythagoras theorem?

The right-angled triangle's three sides are related in line with the Pythagoras theorem, also referred to as the Pythagorean theorem. The hypotenuse of a triangle's other two sides add up to a square, according to the Pythagorean theorem, which states that.

Here in the question,

We have 2 right-angled triangles.

So, base of the large triangle, x

= √ (13² - 12²) + √ (13² - 12²)

= √ 5² + √ 5²

= 5 + 5

= 10ft.

Therefore, the length of the side, x = 10ft.

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How many solutions can be found for the equation 3y + 5 − 2y = 1

Answers

We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).

[tex]3y + 5 - 2y = 11[/tex]

[tex]y + 5 = 11[/tex]

[tex]y = 6[/tex]

This confirms that there is only 1 solution.

draw a net for making a rectangular prism 5cm by 3cm by 1cm​

Answers

Here is a net for making a rectangular prism with dimensions of 5 cm by 3 cm by 1 cm:

   ________

 /                  /  |  

/                  /   |  

/_______ /      |

|                  |   |

|                  |   |

|                  |   |

|                  |   /

|                  | /

|________|  

The above net consists of six rectangles, where the first rectangle represents the base of the prism with dimensions of 5 cm by 3 cm, and the remaining five rectangles represent the sides of the prism.

What is a rectangular prism?

A rectangular prism, also known as a rectangular cuboid, is a three-dimensional geometric shape that has six rectangular faces, where each face meets at right angles with its adjacent faces.

It is common in everyday objects such as boxes, books, and bricks, and they are used in various applications in mathematics, physics, engineering, etc.

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help me solve this

Answers

Answer: ∠BEA

Step-by-step explanation:

Congruent: Same Angle Measure

Starting: ∠BHK

Congruent Angle: ∠BEA

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Guided Proof Prove that a nonempty subset of a finite set of linearly independent vectors is linearly independent Getting Started: You need to show that a subset of a linearly independent set of vectors cannot be linearly (i) Assume S is a set of linearly independent vectors (ii) If T is linearly dependent, then there exist constants dependent. Let T be a subset of S not all zero satisfying the vector equation (iii) Use this fact to derive a contradiction and conclude that T is linearly independent. Describe the conditions under which ROI, payback period, NPV, and EVA are most appropriately applied to information systems investments. Provide Examples. Tibetans who claim to have journeyed to the afterlife are known as:a. Calisortsb. Delogs c. Bon Priests d. Jadu The maximum of each species that can be caught without negatively influencing future populations of that species is called the:a. maximum sustainable yield.b. annual catch.c. maximum global landing.d. maximum global harvest. 13. Tyra picked two numbers, x and y. She told her friend that the sum of the two numbers is 28and the difference between the two numbers is 14.a. Write two different linear equations that model what Tyra told her friendb. Solve the system of linear equations using the elimination method. What two numbersdid Tyra pick? Any good filmsOn karma and what goes around comes around If the government does not provide it, the quantity of a nonexcludable good that private firms will choose to produce is (A)zero.(B)the optimal amount.(C)optimal only if the industry is competitive.(D)more than the socially optimal amount. Which section of the Personnel Restrictions page allows the HR Professionals to view the history of updates made to the Members record? an individual partner received a schedule k-1 from a partnership for year 2 reporting the following items: ordinary business income $45,000 interest income $8,000 net section 1231 loss $5,000 cash distribution $6,000 no additional partnership items exist for year 2. what is the total amount from the partnership that will be included in the partner's adjusted gross income on the partner's form 1040 for year 2? Outline the self-adjusting mechanism that in the neoclassical view endows market systems with an automatic tendency to full employment. What are the conditions for the operation of the self-adjusting mechanism? What are the policy implications of the neoclassical theory? Use graphs and words. Help with this math please .. Write a java program to create a class named 'printnumber' to print various numbers of different datatypes by creating different methods with the same name 'printn' having a parameter for each datatype. write a complete ionic equation for the following reaction. li2so4(aq)+co(no3)2(aq) nottoidu lood7. A physician assistant applies gloves prior to examining each patient. She sees anaverage of 37 patients each day. How many boxes of gloves will she need over thespan of 3 days if there are 100 gloves in each box?8. A medical sales rep had the goal of selling 500 devices in the month of November.He sold 17 devices on average each day to various medical offices and clinics. Byhow many devices did this medical sales rep exceed to fall short of his Novembergoal?9. There are 56 phalange bones in the body. 14 phalange bones are in each hand. Howmany phalange bones are in each foot?10. Frank needs to consume no more than 56 grams of fat each day to maintain hiscurrent weight. Frank consumed 1 KFC chicken pot pie for lunch that contained 41grams of fat. How many fat grams are left to consume this day?11. The rec center purchases premade smoothies in cases of 50. If the rec center sellsan average of 12 smoothies per day, how many smoothies will be left in stock after4 days from one case?12. Ashton drank a 24 oz bottle of water throughout the day at school. How manyounces should he consume the rest of the day if the goal is to drink therecommended 64 ounces of water per day?13. Kathy set a goal to walk at least 10 miles per week. She walks with a friend 3times each week and averages 2.5 miles per walk. How many more miles will sheneed to walk to meet her goal for the week?14. There are 3 drive-up COVID-19 testing clinics in a county. Each drive-up clinichas 500 test kits to use each week. How many test kits are left in the county if anaverage of 82 people visit each clinic 6 days per week? Determine which word is the synonym for the CAPITALIZED word.The NOXIOUS fumes from the broken sewer line made me sick.A. improbableB. evilC. harmfulD. unfair