What is and equation of the line that passes through the points ( − 4 , − 6 ) and (8,−6)

Answers

Answer 1

Answer: y= -6

Step-by-step explanation: use the slope formula and slope intercept; y=mx+b


Related Questions

Brenda went to the store with her dad toy buy snacks. They bought a box of 16 snack-size bangs of chips for $7.84 and a box of 24 snack-size of pretzels for $12.48.How much more do pretzels cost pero bag than chips?

Answers

Answer:

$0.03 pretzels cost more than cost of bag of chips.

Step-by-step explanation:

price of 16 snack- size bags of chips = 7.84

Cost of 1 bag of chip = 7.84 /16  = $0.49

Price of 24 snack-size bags of pretzels = 12.48

Cost of 1 snack-size bags of pretzels = 12.48 / 24      = 0.52

$0.03 pretzels cost more than cost of bag of chips.

Please help me!!!!!!

Answers

The rotation that we need to apply to CD is of 270° clockwise.

Which should be the angle of rotation?

We want a clockwise rotation that maps CD in E'F'.

Remember that a rotation of 90° will move the figure from one quadrant to the previous one. We can see that E'F' is on the third quadrant. while CD is on the second qudrant, then we need to go from.

Second to first quadrant ---> 90°

First to fourth quadrant ---> 90°

Fourth to third quadrant ---> 90°

Adding these 3 we get.

90° + 90° + 90° = 270°

So we need to applly a rotation of 270° clockwise to CD.

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What happens when you use each of the following on a inequality number line?

Answers

Answer: If you add the same number to both sides of an inequality, the inequality remains true. If you subtract the same number from both sides of the inequality, the inequality remains true. If you multiply or divide both sides of an inequality by the same positive number, the inequality remains true.


Mr. Smith keeps track of his students' homework completion. He keeps track of how many boys and
girls do not complete their homework. He puts students who don't complete their homework into two categories: first-time offenders and repeat offenders. He uses a table to keep track of the results.
Boys-Girls-Total-First-Time Offenders & Repeat Offenders

a. In one month 36 girls and 12 boys did not do their homework for the first time. 12 girls and 30
boys did not do their homework again. Put these figures in your table.

b.How many students did not complete all of their homework assignments this month?

c. What percentage of the students who did not complete their homework were boys who were
First-Time Offenders?
d. Are boys or girls more likely to not complete their homework? Explain your reasoning.

Answers

Answer:

The question seems to be incomplete. It mentions that Mr. Smith keeps track of his students' homework completion and how many boys and girls do not complete their homework. It also mentions that he puts students who don't complete their homework into two categories: first-time offenders and repeat offenders, and uses a table to keep track of the results[1][2]. However, it does not provide enough information to answer a specific question.

If you have a specific question related to this topic, please provide more details so that I can assist you better.

Can somebody please help me with this Geometry asap. In advance, thank you so much.

Answers

6.61 is the value of x in the circle.

What does the circle's tangent look like?

A line that only has one point of intersection with a circle is said to be tangent to the circle. Point of contact is the term used to describe the location where the circle and the tangent meet. A straight line that touches a circle at point P is said to be tangent to the circle at P. As the radius connects the circle's centre to point P, the tangent is perpendicular to that radius.

 (39x - 4) = 254

     39x = 254 + 4

      39x =  258

         x = 258/39

         x = 6.61

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Simplify the expression using basic identities Cosu - cosu sin^2u

Answers

Cos u - cos u sin²u simplifies to cos³(u). We can solve it in the following manner.

Starting with the expression Cos u - cos u sin²u, we can factor out cos(u) to get:

Cos u - cos u sin²u = cos(u) (1 - sin²(u))

Using the identity sin²(u) + cos²(u) = 1, we can substitute cos²(u) for 1 - sin²(u):

cos(u) (1 - sin²(u)) = cos(u) cos²(u) = cos³(u)

Therefore, Cos u - cos u sin²u simplifies to cos³(u).

In mathematics, a factor refers to a number, algebraic expression, or function that divides or multiplies with another number, algebraic expression, or function without leaving a remainder. For example, in the expression 12x, 12 is a factor of the expression because it can be divided evenly by 12.

In algebra, factoring is the process of finding the factors of an algebraic expression, which means breaking it down into simpler parts that can be multiplied together to get the original expression. Factoring is an important skill in algebra, as it allows us to simplify and solve equations, identify common factors, and manipulate expressions more easily.

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PLS HELP


One pint of paint covers 100 square feet. What is the least amount of pints of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 16 feet, a width of 14 feet, and a height of 11 feet?

Answers

To find the surface area of the rectangular prism, we need to calculate the area of each of the six sides and then add them together. The area of each of the four walls is the product of the length and height, which gives us:

16 feet × 11 feet = 176 square feet (for the two longest walls)

14 feet × 11 feet = 154 square feet (for the two shorter walls)

The area of the ceiling and floor is the product of the length and width, which gives us:

16 feet × 14 feet = 224 square feet (for the ceiling)

16 feet × 14 feet = 224 square feet (for the floor)

To find the total surface area, we add up the areas of all six sides:

176 + 176 + 154 + 154 + 224 + 224 = 1104 square feet

Therefore, we need at least 1104/100 = 11.04 pints of paint to cover the walls of the room. Rounding up to the nearest whole pint, we need 12 pints of paint.

for what values of t can 10x^2+tx+8 be written as the product of two binomials
I NEED ASAP

Answers

We can write the quadratic expression 10x^2 + tx + 8 as:

10x^2 + tx + 8 = 10x^2 + (a+b)x + ab

where a and b are constants that we want to determine, and (a+b)x is the middle term in the quadratic expression.

We can factor 10 as 25 and 8 as 22*2, so we have:

10x^2 + tx + 8 = (2x + c)(5x + d)

where c and d are the constants that we need to determine.

Expanding the right-hand side of this equation, we get:

(2x + c)(5x + d) = 10x^2 + (2d+5c)x + cd

Comparing this to the original expression, we see that:

2d + 5c = t

cd = 8

We can use these equations to solve for c and d in terms of t:

c = (t - 2d)/5

d = 8/c

Substituting d in terms of c in the first equation, we get:

2(8/c) + 5c = t

Multiplying through by c, we get a quadratic equation in c:

16 + 5c^2 = tc

We want this equation to have real solutions for c, so the discriminant must be non-negative:

25t^2 - 80 >= 0

Solving this inequality for t, we get:

t <= -8/5 or t >= 8/5

Therefore, the quadratic expression 10x^2 + tx + 8 can be written as the product of two binomials for all values of t less than or equal to -8/5 or greater than or equal to 8/5.

Write the name of the quartite which divides Continuous data he low 25%​

Answers

Answer:

The first quartile ([tex]Q_{1}[/tex]) is defined as the middle number between the smallest number (minimum) and the median of the data set. It is also known as the lower or 25th empirical quartile, as 25% of the data is below this point.

Answer:

The first quartile (Q1) is defined as the middle number between the smallest number (minimum) and the median of the data set. It is also known as the lower or 25th empirical quartile, as 25% of the data is below this point.

Step-by-step explanation:

What number solves this equation? × (3 + 8) = 55

Answers

To solve the equation × (3 + 8) = 55, we need to simplify the expression inside the parentheses first, which gives us:

× (3 + 8) = × 11

Now we substitute × 11 back into the original equation:

× 11 = 55

To solve for ×, we divide both sides by 11:

× = 5

Therefore, the number that solves the equation × (3 + 8) = 55 is 5.

7. Groceries Galore sells bags of chips from two different companies., The mean absolute deviation of the number of chips in each bag from Company A is higher than the mean absolute deviation of the number of chips in each bag from Company B. Heather believes this means that Company A tends to sell more chips in each bag. Do you agree? Explain why or why not. CHIPS​

Answers

Answer:

Always need to do research to improve your studies

mark me brainliest i’ll appreciate it


The mean absolute deviation (MAD) is a measure of the variability of a dataset. It measures how spread out the data is by calculating the average distance between each data point and the mean of the dataset. So, if the MAD of the number of chips in each bag from Company A is higher than the MAD of the number of chips in each bag from Company B, it means that the data points in the dataset of Company A are more spread out than those in the dataset of Company B.

However, the MAD alone cannot tell us whether Company A tends to sell more chips in each bag than Company B. To determine this, we would need to look at other measures such as the mean, median, or mode of the datasets.

For example, if the mean number of chips in each bag from Company A is higher than the mean number of chips in each bag from Company B, then Heather's belief would be supported. On the other hand, if the mean number of chips in each bag from Company A is lower than the mean number of chips in each bag from Company B, then her belief would be contradicted.

In conclusion, the MAD alone cannot tell us whether Company A tends to sell more chips in each bag than Company B. We would need to look at other measures of central tendency to determine this.

how do you solve for x when the equation is 3x+15=45

Answers

Answer:

x = 10

Step-by-step explanation:

To solve for x, we need to get x by itself.

Whatever we do to one side, we do it to the other side to keep it balanced.

3x + 15 = 45

     - 15 = -15       (Subtract 15 from both sides)

3x        =   30               (Divide both sides by 3)

3          =    3

x = 10

f(x) = 1 + 4x 1
Find the value of x when f(x) = 15.

Answers

Answer:

the value of x when f(x) = 15 is 3.5.

Step-by-step explanation:

We are given that:

f(x) = 1 + 4x

We need to find the value of x when f(x) = 15.

So we can set up the equation:

1 + 4x = 15

Subtracting 1 from both sides, we get:

4x = 14

Dividing both sides by 4, we get:

x = 14/4

Simplifying, we get:

x = 3.5

Therefore, the value of x when f(x) = 15 is 3.5.

Points-

Pls answer this correctly!

Answers

After 60 minutes in the refrigeration, the can of soda will be approximately 42°F.

What is refrigeration?

We are given the following information:

[tex]T_{a}[/tex] = 35°F (temperature of the refrigerator)

To = 73°F (initial temperature of the can of soda)

T = 58°F (temperature of the can of soda after 10 minutes)

We can use these values to find the decay constant k:

T = [tex]T_{a}[/tex] + (To - [tex]T_{a}[/tex])[tex]e^{-kt}[/tex]

58 = 35 + (73 - 35)[tex]e^{-10k}[/tex]

23 = 38[tex]e^{(-10k)}[/tex]

ln(23/38) = -10k

k ≈ 0.0725 (rounded to the nearest thousandth)

Now we can use this value of k to find the temperature of the can of soda after 60 minutes:

T = [tex]T_{a}[/tex] + (To - [tex]T_{a}[/tex])[tex]e^{-kt}[/tex]

T = 35 + (73 - 35)[tex]e^{(-0.0725*60x^{2} )}[/tex]

T ≈ 42°F (rounded to the nearest degree)

Therefore, after 60 minutes in the refrigerator, the can of soda will be approximately 42°F.

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Can u do step by step on how u got it I have to show my work

Answers

You forgot to add a picture

according to a study published by a group of university of massachusetts sociologists, approximately 60% of the valium users in the state of massachusetts first took valium for psychological problems. find the probability that among the next 8 users from this state who are interviewed

Answers

the probability that among the next 8 users from this state who are interviewed, the probability of the first 6 users first took it for psychological problems is 60% is 0.03456.

As per the given information, 60% of the valium users in Massachusetts first took it for psychological problems. Now, we are supposed to find the probability that among the next 8 users from this state who are interviewed, the probability of the first 6 users first took it for psychological problems is: 60%.

What is Valium?

Valium is a prescription medicine that is used to treat the symptoms of anxiety, alcohol withdrawal, and muscle spasm. The use of Valium can lead to addiction, especially if it is not taken as prescribed by the doctor.The probability of the first 6 users first took it for psychological problems is 60%. Hence, the probability that the first user did not take it for psychological problems is: 40%.

Probability of first user did not take Valium for psychological problems = P(A) = 0.40

Probability of first user took Valium for psychological problems = P(B) = 0.60

Now, we are supposed to find the probability that among the next 8 users from this state who are interviewed, the first 6 users first took it for psychological problems is: 60%.Probability of the first 6 users first took it for psychological problems is:

Probability of the next 5 users took it for psychological problems = P(B) × P(B) × P(B) × P(B) × P(B) = (0.60)⁵

Probability of the next 2 users did not take it for psychological problems = P(A) × P(A) = (0.40)²

Thus, the probability that among the next 8 users from this state who are interviewed, the probability of the first 6 users first took it for psychological problems is 60%, is:(0.60)⁵ × (0.40)²= 0.03456 (rounded to five decimal places)

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Cool-Down The background of this graph is the same coordinate grid from the previous screen. Both the x- and y-axes run from negative 8 to 8.Line "g" is graphed. Line "g" goes through the points ( negative 4 , 4 ) and ( 4 , negative 2 ). Here is a line on a coordinate grid. Write an equation for the line.

Answers

The equation of line "g" is y = (-3/4)x + 1. To find the equation of line "g" that goes through the points (-4, 4) and (4, -2), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we can find the slope of the line by using the slope formula, which is:

m = (y2 - y1) / (x2 - x1)

Using the coordinates of the two points given, we have:

m = (-2 - 4) / (4 - (-4)) = -6 / 8 = -3 / 4

Next, we can use the slope-intercept form and one of the two points to find the y-intercept, b. Using the point (-4, 4), we have:

4 = (-3/4)(-4) + b

4 = 3 + b

b = 1

Finally, we can substitute the values of m and b into the slope-intercept form to get the equation of line "g":

y = (-3/4)x + 1

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the number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated, is:

Answers

Thus, the number of 6-digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated is 20.

What is the number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated?There are 1200 6-digit numbers that can be formed using the digits 0, 1, 2, 5, 7, and 9.Using the formula for a 2-digit number, namely A and B, the number must satisfy A - B = 0,11 or -11.

There is a pattern, therefore, there are 100 numbers that satisfy each. It's because the numbers 0, 1, 2, 5, 7, and 9 are such that the sum of the odd digits minus the sum of the even digits is always either 0, 11, or -11. This is only possible if there is an even number of odd digits or an even number of even digits.

There are 6C3 ways to pick 3 odd digits from {1,5,7,9} and 3C3 ways to pick 3 even digits from {0,2}. By taking the product of these values, we can find the total number of possibilities:[tex]6C3 × 3C3 = 20 × 1 = 20[/tex]

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what does 56 3/4 ( 1 3/8 + 1 1/5) equal

Answers

Answer:

23,381/160 or 146 21/160

Step-by-step explanation:

56 3/4 = 227/4

1 3/8 = 11/8

1 1/5 = 6/5

227/4( 11/8 + 6/5)

227/4(55/40 + 48/40)

227/4( 103/40) = 23,381/160 or 146 21/160

Mrs. Myrtle wants to buy this plastic toy for Willow. How much plastic would it take to construct the following toy? [Assume toy is solid plastic]
9m
13 m
Radius: type your answer...
type your answer...
Height of the Cone: type your answer....
; Total: type your answer...
Cone: type your answer...
; Hemisphere:

Answers

Answer:

Step-by-step explanation:

6

i need help with an ixl. i dont understand it at all. please help !!

Answers

The value of m∠U in the circle is 168 degrees

How to find the tangent of a circle?

The tangent of a circle is the line that touches the circle at only one point.

The tangent to a circle is always perpendicular to the radius. Therefore, it forms a right angle.

Therefore, let's use the theorem to find the angle m∠U

Hence,

m∠STU = 90 degrees

m∠UTV = 90 - 84 = 6 degrees

Therefore, the triangle STV is an isosceles triangle. This means the base angle is congruent .

Hence,

m∠SVT = 84 degrees

Therefore,

m∠U = 180 - 6 - 6

m∠U = 180 - 12

m∠U = 168 degrees

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Three security guards: A, B and C, who guard a jewellery shop, work under the following conditions:
None of the guards is called to work for three consecutive days.
Guard A does not work on Tuesday, Thursday and Sunday.
Guard B does not work on Monday, Wednesday and Saturday.
Guard C does not work on Tuesday, Thursday and Sunday.
On which day of the week are all of them present for work?

Answers

The day they are all present would be Friday

help asap assignment closes soon!

Answers

The approximate surface area of the cone is equal to 35 ft²

How to calculate surface area of a cone?

In Mathematics, the surface area (SA) of a cone can be calculated by using this mathematical expression:

Surface area (SA) of a cone = πr(l + r)

Where:

l represents the slant height of the cone.r represents the radius of the cone.

Note: Radius = diameter/2 = 2/2 = 1 feet.

By substituting the given parameters into the formula for the surface area (SA) of a cone, we have the following;

Surface area (SA) of a cone = 3.14 × (1 + 10)

Surface area (SA) of a cone = 3.14 × (11)

Surface area (SA) of a cone = 34.54 ≈ 35 ft²

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this is due tomorrow please help

Randall buys 3 tickets for a concert for $14.50 each. He gives the cashier a $50 bill. how much change does he get? weite equations to show your work.

Answers

first: 14.50 x 3= 43.5
next 50.00 - 43.5= 6.5
The amount of change he gets is $6.5

why does the vertical line test tell us whether the graph of a relation represents a function? when a vertical line intersects the graph of a relation more than once, it indicates that for that input there is more than one output, which means the relation is not a function. when a vertical line intersects the graph of a function more than once, it indicates that for that output there is more than one input, which means the function is not a relation. when a vertical line intersects the graph of a function more than once, it indicates that for that input there is more than one output, which means the function is not a relation. when a vertical line intersects the graph of a relation more than once, it indicates that for that output there is more than one input, which means the relation is not a function.

Answers

When a vertical line intersects the graph of a function more than once, it indicates that for that output there is more than one input, which means the function is not a relation.  (option b).

In mathematics, functions are an essential concept used to describe relationships between sets of numbers. A function is a set of ordered pairs, where each input corresponds to exactly one output.

Conversely, if every vertical line intersects the graph at most once, then the graph represents a function. This is because there is only one output for each input, satisfying the definition of a function.

It's important to note that not all relations are functions. A relation is a set of ordered pairs, while a function is a relation where each input corresponds to exactly one output.

Therefore, if a vertical line intersects a graph more than once, it indicates that there is more than one output for that particular input, and the relationship is not a function.

Hence the option (b) is correct.

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Keeshawn measured the box show below. What is the surface area of the box

Answers

You need the dimensions of the box

PLEASE HELP ASAP!!!!!!!

REASONING Meghana is making a kite out of nylon. The material is sold for $5.99 per square yard. She needs enough material to cover her kite on both sides.

a. What is the area of Meghana’s kite?
b. How many yards of material will Meghana need to cover both sides of her kite?
c. How much will the material cost before taxes?

Answers

Answer: The material will cost Meghana $95.84 before taxes.

Step-by-step explanation:

a. To find the area of Meghana's kite, we first need to convert the dimensions from feet to yards since the material is sold per square yard:

Length = 18 ft = 6 yards (since 1 yard = 3 feet)

Width = 4 ft = 4/3 yards (since 1 yard = 3 feet)

The area of the kite is the product of its length and width:

Area = Length x Width = 6 x 4/3 = 8 square yards

b. Meghana needs enough material to cover both sides of her kite, so she needs twice the area of the kite:

Area of both sides = 2 x Area of one side = 2 x 8 = 16 square yards

Therefore, Meghana needs 16 square yards of nylon material.

c. The material is sold for $5.99 per square yard, so the total cost of the material before taxes is:

Total cost = Cost per square yard x Number of square yards

Total cost = $5.99 x 16 = $95.84

Therefore, the material will cost Meghana $95.84 before taxes.

help???? thanks! i do not get this at all!!

Answers

Answer:

S = [tex]\sqrt{3}[/tex]

H = 2

It's D

Step-by-step explanation:

Considering the attached picture

h = 1 x 2 = 2

s = 1 x [tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex]

The data given represents the height of basketball players, in inches, on two different girls' teams.


Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60


Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches

Answers

To determine which team typically has the tallest players, we need to compare the measures of center for each team. Since the data sets have outliers, it's better to use the median as a measure of center.

Calculating the median for each team:

Allstars: arrange the heights in order from smallest to largest: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73. The median is the middle value, which is 68 inches.

Champs: arrange the heights in order from smallest to largest: 58, 60, 60, 65, 67, 67, 68, 69, 70, 70, 75. The median is the middle value, which is also 68 inches.

Since both teams have the same median height of 68 inches, we can't say that one team typically has taller players than the other based on this measure alone. Therefore, neither option (C) nor (D) is correct. Instead, we need to choose between options (A) and (B) based on the mean height for each team.

Calculating the mean for each team:

Allstars: add up all the heights and divide by the total number of players: (73+62+60+63+72+65+69+68+71+66+70+67+60+70+71)/15 = 1006/15 ≈ 67.1 inches.

Champs: add up all the heights and divide by the total number of players: (62+69+65+68+60+70+70+58+67+66+75+70+69+67+60)/15 = 996/15 ≈ 66.4 inches.

Thus, the team with the higher mean height is the Allstars, so the correct answer is option (A): "The Allstars, with a mean of about 67.1 inches."

A tiger in a zoo is 8 feet long. A scale model of the tiger is 4 inches long. What is the scale factor?

Answers

Answer:

1/24

Step-by-step explanation:

1 ft = 12 in

8 X 12 = 96

96/4 = 24

1/24 is the scale factor

Answer: 24:1 (The tiger : The tiger model)

Step-by-step explanation:

1 feet =12 inch

so 8 feet=96 inch

The tiger : The tiger model= 96:4= 24:1

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What do the ads want you, the voter, to do, and how do you know that? What reasons do the ads offer in support of this purpose?2. Describe the perspectives behind the two political ads. Then, for each ad, explain how its perspective leads to examples of bias. 3. Identify at least one example of pathos in either of the two advertisements. Explain how this appeal helps the campaign's purpose. 4. Identify at least one example of ethos in either of the two advertisements. Explain how this appeal helps the campaign's purpose. 5. Identify at least one example of logos in either of the two advertisements. Explain how this appeal helps the campaign's purpose. 6. Describe how either of the advertisements uses media other than the spoken word to be persuasive. Do these examples of media use pathos, logos, or ethos or a combination of appeals? Why? 7. Identify at least three rhetorical devices, such as analogy, juxtaposition, antithesis, zeugma, or figurative language, in either of the advertisements. Explain how these devices help each campaign's purpose. without any taxes, equity has a return of 24%, and debt has a return of 12%. the overall return on all assets is 16%. what is the debt ratio (i.e., the proportion of debt financing)? by using creativity, often times you can overcome obstacles to problem solving. when problems have us feeling stuck, sometimes a period away from the issue can help us overcome these ruts in our thinking. what is the period away from the issue called? Find the error with subject-verb agreement. Select the incorrect verb and type it correctly.TheAmericanphotojournalistMargaretBourke-WhitecoveredseveralhistoriceventsofthetwentiethcenturyincludingWorldWarIIBourke-White'sphotographsremainsrelevanttodayrevealingboththesufferingandtheperseveranceofhumankind Calculate Average Rainfall with Total Rainfall and Average Temperature explain how a piece of the igneous rock granite and a piece of the metamorphic rock slate could be found in the sedimentary rock known as conglomerate. which product would be considered an unsought good or service by a typical college student \> Date:3/28/2023 Lesson 8.4 Review Directions: Answer the following questions in the space provided. 1. Which of the following is a good way to determine your current level of fitness? a. Weigh yourself. b. Run a marathon. c. Test your flexibility, I d. Take your blood pressure. Answer: A 9-1-1 operator needs to haveadvanced knowledge in which area inorder to properly do their job?A. geographyC. mathematicsB. economicsD. history Triangle POR with verlices P(- 13, -3). Q(-7, 3), and R(-6, 2) 270 counterclockwise rotation about C(-5, -4) which of the following shows the correct order of vocal ranges from highest to lowest? a. bass, tenor, alto, soprano b. alto, soprano, bass, tenor c. soprano, alto, tenor, bass Read the excerpt from Utopia by Sir Thomas More.So it is everywhere the common course of life amongst all mechanics except the Utopians: but they, dividing the day and night into twenty-four hours, appoint six of these for work, three of which are before dinner and three after; they then sup, and at eight oclock, counting from noon, go to bed and sleep eight hours: the rest of their time, besides that taken up in work, eating, and sleeping, is left to every mans discretion.How does the authors use of deductive reasoning further his argument?It suggests why people in Utopia would make an efficient workforce.It allows for an understanding of what life in Utopia would look like.It demonstrates the importance of choice in living a productive life.It provides a framework for a schedule that people generally follow. management accounting encompasses the design and use of accounting information systems inside the company to achieve the company's objectives. group startstrue or false A glass fish tank is shaped like a triangularprism. Each base of the aquarium is anisosceles triangle with dimensions shown.The tank has a heightof 12 inches. What isthe total surface areaof the tank in squareinches?answers: work: 36(12) + 2(48) solution: 528work: 36(6) + 2(48)solution: 312 rapallo sneakers, inc. sells a pair of lg sneakers for $50. due to the recent fitness craze, these shoes are in high demand: 70 pairs of shoes are sold per week. the ordering cost is $40 per order, and the annual holding cost is 25 percent of the selling price. if the store operates 50 weeks a year, what can you say about the size of the current order quantity of 250 pairs?