consider the line with the given properties m=4 passing through p(-5,0) ​

Answers

Answer 1

Answer:

y = 4x + 20

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 5, 0) into the partial equation

0 = - 20 + c ⇒ c = 0 + 20 = 20

y = 4x + 20 ← equation of line


Related Questions

the ratio of black bags to blue bags is 5 to 3 if there are a total of 10 black bags then how many blue bags are there

Answers

Answer:

6

Step-by-step explanation:

3 times 2

Is 6 and 5 times 2 is 10

Final answer:

To find the number of blue bags, we calculate based on the 5 to 3 ratio with 10 black bags. Each part corresponds to 2 bags, hence there are 6 blue bags.

Explanation:

The question concerns the calculation of the quantity of blue bags based on a given ratio to the quantity of black bags. If the ratio of black bags to blue bags is 5 to 3, and there are a total of 10 black bags, then we can set up a proportion to find the number of blue bags.

To solve this, we assume the number of black bags (5 parts) equals 10, which means each part corresponds to 10 / 5 = 2 bags. Since there are 3 parts of blue bags in the ratio, we then multiply the number of bags per part by 3 (the number of blue parts), which gives us 3 * 2 = 6 blue bags.

2 divided by 1 6/7 in simplest form

Answers

Answer:

1 1/13

Step-by-step explanation:

2/1 6/7

2/ 13/7

2/1*7/13

14/13

1 1/13

Final answer:

The division of '2' by '1 6/7' involves the conversion of the mixed number to an improper fraction, after which it becomes '2 * 7/13'. This simplifies down to '14/13' or '1 1/13'.

Explanation:

To calculate the division of '2' by '1 6/7', we first have to convert '1 6/7' to an improper fraction. '1 6/7' equals '13/7' when simplified. So, now the task is to divide '2' by '13/7'. In the division of fractions, we multiply the first fraction by the reciprocal of the second fraction. Thus, this becomes '2 * 7/13' (i.e. '2' over '1' times '7' over '13'). Multiplying the numerators together gives us '14', and multiplying the denominators together gives us '13'. Therefore, '2 divided by 1 6/7', in simplest form, is '14/13' or '1 1/13' when converted to a mixed number.

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two numbers have these properties both numbers are greater than 6 the highest common factor is 6 the lowest common multiple is 60 find the two numbers

Answers

Final answer:

The two numbers that fulfill these properties are 12 and 30. They both have a highest common factor of 6 and a lowest common multiple of 60.

Explanation:

The two numbers that fit the description provided both need to be greater than 6, have a highest common factor (HCF) of 6, and a lowest common multiple (LCM) of 60.

For two numbers to have an HCF of 6, they must be multiples of 6. Looking at multiples of 6 that are greater than 6, we have 12, 18, 24, 30 etc. Since the LCM must be 60, we aim to find two numbers that when multiplied would produce 60. This leads us to the pair 12 and 30.

12 and 30 have an HCF of 6 (because 12=2*2*3 and 30=2*3*5, so the HCF is 2*3=6), and 12 and 30 both have an LCM of 60. Therefore, the two numbers are 12 and 30.

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Final answer:

The two numbers that meet these criteria, are greater than 6 and the ones that have the highest common factor as 6 and lowest common multiple as 60, are 6 and 60.

Explanation:

In this problem, we are asked to find two numbers that have the following properties: they are both greater than 6, their highest common factor(HCF) is 6 and their lowest common multiple(LCM) is 60. Since HCF is 6, it's logical to assume that the two numbers can be multiples of 6. As per hints given the highest common factor of two numbers is 6 and the lowest common multiple is 60, the numbers should be 6 and 60 as these are the only two numbers that satisfy all conditions.

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at 2:30 a.m. the temperature in joelle is – 3f. the temperature drops 3/4 of a degree in 30 minutes. what is the temperature in joelle at 3:00 a.m.?

Answers

The temperature in joelle at 3:00 a.m. will be -3.75F

Step-by-step explanation:

Given that the temperature was -3F at 2:30 am

Temperature drops by 3/4 of a degree in 30 minutes

3/4 of a degree = 0.75 F

Time difference between 2:30 am and 3:00 am is 30 minutes

Temperature at 3:00 will be;

-3F -0.75 F = -3.75 F

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The center of a circle is located at (3.8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle?

Answers

Answer:

The general equation of a circle is x² + y² - 6x - 16y + 48 = 0

Dr. Banks had 330 toothbrushes to give away to his patients.
He gave away 53 toothbrushes in January. He gave away 67
toothbrushes in February. In March he gave away 46
toothbrushes. How many toothbrushes does he have left?​

Answers

Answer:

Dr. Banks Has 164 toothbrushes left to give away or to keep :)

Step-by-step explanation:

subtract 330-53-67-46= 164! Please mark brainliest :)

Answer:

164

Step-by-step explanation:

he had 330 toothbrushes

he gave away 53+67+46

which means he gave away

166 toothbrushes

so we subtract the toothbrushes that he had and the toothbrushes that he gave away.

330-166=164

A community hall is in the shape of a cuboid.
tile:
The hall is 40 m long, 15m wide and
3 m high.
3 m
total
The community hall needs re-decorating
with new paint for the walls and ceiling,
and new tiles on the floor.
15 m
40 m
A 10 litre tin of paint covers
1 m2 floor tiles cost £3 each.

Work out the total cost of
to re-decorate the community hall.

Answers

Answer:

The total cost of  to re-decorate the community hall is £2172.

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m wide and 3m high.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

Are of Walls and Ceiling = [tex]2(l+b)h+lb=2(40+15)3+(40\times15)= 6\times55+600= 330+600 =930m^2[/tex]

Therefore, the area of walls and ceiling is 930 square meters.

Given: Cost for 10 litre of paint is £10 and 10 litre paint covers 25 square meter. Therefore,  

Total Painting cost = [tex]10 \times \frac{930}{25} = \£372[/tex]

Therefore, the total painting cost of wall is £372.  

Tiles will be required for floor. Let us find the area of floor.

Area of floor = [tex]l \times b = 40\times15 =600m^2[/tex]

Given: 1m squared floor tiles costs £3. So,

Total Cost for tiles = [tex]3\times600= \£1800[/tex]

Therefore, the total cost for tiles is £1800.

Now let us find total cost of  to re-decorate the community hall;

Total Cost =  the total painting cost of wall + the total cost for tiles = [tex]\£1800+\£372= \£2172[/tex]

Hence, the total cost of  to re-decorate the community hall £2172.

Final answer:

To redecorate the community hall, the cost for tiling the floor will be £4500, and the cost for painting will depend on the price per tin, with a total of 93 tins needed to cover 930m².

Explanation:

To calculate the total cost of re-decorating the community hall, we need to find the areas that need painting and tiling. Since the hall is a cuboid, the paintable area includes the four walls and the ceiling. The floor requires tiling.

The combined area of the four walls can be found by calculating the perimeter of the base, which is the sum of all sides ((2 × length) + (2 × width)), and then multiplying by the height. The ceiling is simply the length multiplied by the width.

Here is how to calculate the areas and costs:

Walls area = (2 × length + 2 × width) × height = (2 × 40m + 2 × 15m) × 3m = (80m + 30m) × 3m = 330m².Ceiling area = length × width = 40m × 15m = 600m².Total paintable area = walls area + ceiling area = 330m² + 600m² = 930m².Total area for paint coverage = 930m² / (coverage of paint per tin) = 930m² / 10m²/tin = 93 tins.Floor area (for tiling) = length × width = 40m × 15m = 600m².Total tile cost = 600m² / 0.4m² (tile area) × £3 (cost per tile) = 1500 × £3 = £4500.

Therefore, the cost for tiling the floor will be £4500, and the cost for painting will be 93 tins (if each tin is assumed to cost a certain amount, which is not specified in the question).

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Answers

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

Y=2x+5 rotate 90 degrees

Answers

Answer:

Don't know

Step-by-step explanation:

Which way? Clockwise or Counterclockwise?

Terrance bikes 3.6 miles to school in 18 minutes. Jaqueline bikes 5.4 miles to school in 30 minuets assuming each student rode at a constant speed , who is traveling at a faster speed

Answers

Answer:

jaqueline, because 3.6/18 =0.2 and 5.4/30=1.8

Step-by-step explanation:

Final answer:

Terrance is traveling at a faster speed of 12 mph compared to Jaqueline's 10.8 mph, after converting their biking times to hours and calculating the speed for each.

Explanation:

To determine who is traveling at a faster speed, we calculate the speed (rate) at which each student is biking. Speed is computed using the formula: speed = distance / time. For Terrance, who bikes 3.6 miles in 18 minutes, we must first convert minutes to hours, so 18 minutes is 0.3 hours (since 1 hour = 60 minutes). Thus, Terrance's speed is 3.6 miles / 0.3 hours = 12 miles per hour (mph).

For Jaqueline, who bikes 5.4 miles in 30 minutes, we also convert the minutes to hours to get 0.5 hours. Jaqueline's speed is 5.4 miles / 0.5 hours = 10.8 mph.

Comparing the two speeds, Terrance has a faster speed at 12 mph compared to Jaqueline's 10.8 mph.

How much can 7 go to 57

Answers

Answer:

8 times

Step-by-step explanation:

57/7=8.1428571428... round down to the nearest whole number.

7 can go into 57: 8 times

Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of y. Do not include parentheses in your answer.

(y3 - 4y2 + 7y - 6) ÷ (y - 2)

Answers

Answer:

this is the answer. hope it helps you

Here this is the answer, i hope this helps u have a great day ik this is late sorry...

NEVERMIND sorry this was the answer for another question, this is incorrect for this one.

Alice wants to buy 3 pounds of veal at the grocery store, but the scales at the store only show weight in kilograms. If one kilogram is 2.20 pounds, how many kilograms of veal should Alice buy?

Answers

Alice should buy 1.36 kilograms of veal.

Step-by-step explanation:

Given,

According to store's scale;

2.20 pounds = 1 kilogram

1 pound = [tex]\frac{1}{2.20}\ kg[/tex]

As Alice wants to buy 3 pounds, therefore,

3 pounds = [tex]\frac{1}{2.20}*3\\[/tex]

[tex]3\ pounds = \frac{3}{2.20}\\3\ pounds = 1.36\ kg[/tex]

Alice should buy 1.36 kilograms of veal.

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Answer:

1.36

Step-by-step explanation:

she wants to buy 3 pounds of veal

we multiply 3 pounds by 1 kg/2.20 lbs

we get 1.36 pounds

Sarah is 12 years old. Her sister, Emily, is 8 years less than 3 times Sarah's age. Write an expression for Emily's age in terms of Sarah's age, s.

Answers

Answer:

x= 3s -8

3 times Sarah's age is 3s hence the expression is as shown

Final answer:

Emily's age in terms of Sarah's age can be expressed by the algebraic expression '3s - 8', where 's' is Sarah's age.

Explanation:

The student's question asks to express Emily's age in terms of Sarah's age, s. In the problem, it is stated that Emily is 8 years less than 3 times Sarah's age. This relationship can be expressed as an algebraic expression, where Emily's age, e, is equal to '3s - 8'. In this expression, 's' represents Sarah's age(12 years old in this case), '3s' means '3 times Sarah's age', and '- 8' represents '8 less than' the amount.

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Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 1.

Answers

Answer:

[tex]x^{2}[/tex]-5x+6

Step-by-step explanation:

(x-2)(x-3)

= [tex]x^{2}[/tex] -5x + 6

please help with the question below!

Answers

Answer:

C

Step-by-step explanation:

I don't know exactly why it is C, but I know it isn't the other ones.

(I realize this is not a very concrete answer and it may be wrong, but good luck!)

The correct answer is C

Find the measure of DF

Answers

Answer:

DF = 50

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}[/tex]

[tex]\triangle ABC\sim\triangle DE F\qquad(\text{similar tringles)}\\\\\text{Therefore corresponding sides are in proportion:}\\\\\dfrac{BA}{AC}=\dfrac{ED}{DF}\\\\\text{Substitute}\ BA=360,\ AC=600,\ ED=30\\\\\dfrac{360}{600}=\dfrac{30}{DF}\qquad\text{cross multiply}\\\\360DF=(600)(30)\\\\360DF=18000\qquad\text{divide both sides by 360}\\\\DF=50[/tex]

[tex]\bold{METHOD\ 2:}[/tex]

[tex]\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=40,\ leg=30,\ hypotenuse=DF.\\\\\text{Substitute:}\\\\40^2+30^2=DF^2\\\\1600+900=DF^2\\\\2500=DF^2\to DF=\sqrt{2500}\\\\DF=50[/tex]

Final answer:

The measure of DF cannot be determined without additional context or a specific function. DF could imply distance in a physics scenario or represent an infinitesimal change in a function in calculus.

Explanation:

The measurement of DF seems to be a question related to calculus and physics, specifically pertaining to infinitesimal changes and dynamics. In calculus, df represents an infinitesimally small change in a function, often a result of changing variables x and y. In a physics context, DF can be interpreted as the distance fallen in a typical free fall scenario under gravity, with an initial velocity. Unfortunately, without additional context or a specific function provided, the measure of DF cannot be accurately determined.

For example, in the context of electromagnetism, dF could represent the infinitesimal force on a wire carrying current in a magnetic field, according to the formula dF = i (dl) x B, where i represents current, dl represents an infinitesimal length of wire, and B represents the magnetic field.

How much water must be added to 1 liter of a 5% saline solution to get a 2% saline solution?

Answers

Answer:

- 1,5 liters

Step-by-step explanation:

If  1 liter has 5% of saline solution, we know that our solution has 2,5 times the salt we want it to have: [tex]\frac{5\%}{2\%} =2.5[/tex], which means that, in the liter of water, there is an amount of salt that is 1,5 greater than what is desired.Then, if we want to lower the concentration of salt, we just have to add water. How much water? 1.5 liters. Then, 5% of solution divided in 2.5 liters of water yields in a 2% solution.

Answer:

The water must be added to 1 liter of a 5% saline solution to get a 2% saline solution is 1.5 litres

Explanation:

We assume that the quantity of water added to be x litres. The quantity of saline in the existing solution is 5% of 1litre = 0.05 litres, with the addition of water, the quantity of new solution becomes (1 + x) litres. As per the problem, the percentage of saline in new solution should be equal to 2%. Therefore,

[tex]\frac{0.05}{1+x} \times 100=2[/tex]

So, 5 = 2(1+x)

2x = 5 - 2

[tex]x=\frac{3}{2}=1.5[/tex]

So, 1.5 litres water should be added to make the 1litre 5% saline solution a 2% saline solution.

The absolute value of 64 ​

Answers

Answer: 64

Step-by-step explanation:

the absolute value of a positive number is that number , the absolute value of a negative number is that numbers opposite .

Final answer:

The absolute value is a concept in mathematics that signifies the magnitude of a number, disregarding its positive or negative sign.  The absolute value of a number refers to its magnitude, regardless of its sign. Thus, the absolute value of 64 is itself, which is 64.

Explanation:

The absolute value is a concept in mathematics that signifies the magnitude of a number, disregarding its positive or negative sign. Think of it as a number's distance from zero. Considering your question, the absolute value of 64 is simply 64. This is because 64 is already a positive number, and the absolute value of a positive number is the number itself.

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Please answer this correctly

Answers

I think it would be 30 minutes

Answer: 30 minutes

Step-by-step explanation:

Start time: 25 minutes to noon means 25 minutes before* noon. End time: 5 minutes past noon means 5 minutes after* noon.

25mins

+5mins

______

30mins

3p^4(4p+7p+4p+1)
????????

Answers

The answer is 45p^5 +3p^4

HEY DEAR

Answer:

45p^5 + 3p^4

step by step explanation:-

3p^4( 4p+7p+4p+1)

3p^4 (11p + 4p) +1

3p^4 (15 p +1)

multiplying 3p^4 to both 15p and 1 we get:-

3p^4× 15p +3p^4× 1

=45p^5 +3p^4

HOPE ITS HELPFULL

Rewrite the following multiplication problem using the associative property and then show that both results will be the same. (1/2)x(2/3)x(4/5)​

Answers

Answer(1/2)x(2/3)x(4/5)

(1/2x2/3)x(4/5)

(1 1/4x2 1/2)

2 3/4

Step-by-step explanation:

(1/2)x(2/3x4/5)

(1/2x1 3/4)

2 3/4

Eva and jin are new volunteers at the animal shelter . If they both volunteer the first of the month,in how many days will they volunteer on the same day again? Eva volunteers every 3 days and jin volunteers every 5 days

Answers

Answer:

In 15 days

Step-by-step explanation:

Eva Volunteers Every 3 Days:

So, Eva volunteers on:

3rd, 6th, 9th, 12th, 15th, 18th, 21st...and so on DAYS

Jin Volunteers Every 5 Days:

So, Jin volunteers on:

5th, 10th, 15th, 20th, 25th...and so on DAYS

So, we see NEXT which day they vounteer together. Looking at the list, we see that it is on 15th day. This is also the LCM (Least Common Multiple) of 3 and 5.

So, in 15 days, they volunteer on the same day again.

A 60-kilogram person stands on a compression spring. The spring constant is 2500 Newtons per meter What is the displacement of the spring?

A)0.00392M
B) 0.024m
C)0.1176m
D)0.2352M

Answers

The displacement [tex](\( \Delta x \))[/tex] of the compression spring when a 60-kilogram person stands on it, with a spring constant of 2500 N/m, is approximately -0.2352 meters. The negative sign indicates the direction of the displacement. Therefore, the correct answer is D.

To find the displacement [tex](\( \Delta x \))[/tex] of the spring, you can use Hooke's Law:

[tex]\[ F = -k \cdot \Delta x \][/tex]

Where:

- F is the force applied (weight in this case),

- k is the spring constant, and

- [tex]\( \Delta x \)[/tex] is the displacement of the spring.

Rearrange the formula to solve for [tex]\( \Delta x \)[/tex]:

[tex]\[ \Delta x = -\frac{F}{k} \][/tex]

Substitute the given values:

[tex]\[ \Delta x = -\frac{mg}{k} \]\[ \Delta x = -\frac{(60 \, \text{kg})(9.8 \, \text{m/s}^2)}{2500 \, \text{N/m}} \][/tex]

Calculate the result:

[tex]\[ \Delta x \approx -0.2352 \, \text{m} \][/tex]

The negative sign indicates that the displacement is in the opposite direction to the applied force. Therefore, the correct answer is:

D) [tex]\( -0.2352 \, \text{m} \)[/tex]

What is the difference between calculations and patterns

Answers

Answer:

"Calculation" is a mathematical determination of finding the size or number of something while "pattern" is a sequence of elements that is being repeated in a predictable manner.

Step-by-step explanation:

Calculation- This process allows you to put elements together or transform them into a new result. It produces an obvious change.

For example: 7 x 6 = 42

The numbers 7 and 6 when multiplied produces 42.

Pattern- This process allows you to put the elements in an intelligible way. The elements are organized or repeated regularly.

For example: A, B, C, A, B, C, A, B, C

It is noticeable that the letters A, B and C are being repeated in the same way.

Two times a number, plus five, equals the number, minus five.

Find the number and type it in the box.

Answer:

Answers

Answer:

x= -5

Step-by-step explanation:

let the number be x.

2x+5= -5 ====> equation

2x= -5-5. (shifted the +5 to the other side)

2x= -10

x= -10/2 ( shifted 2 on the other side as it was multiplying with x)

x= -5

Final answer:

To solve the equation 'two times a number, plus five, equals the number, minus five,' we set up and simplify the algebraic equation 2x + 5 = x - 5, which ultimately gives us the number x = -10.

Explanation:

The problem states that two times a number, plus five, equals the number, minus five. To find the number, we can set up the equation 2x + 5 = x - 5, where x represents the number we're trying to find.

Step 1: Start by subtracting x from both sides of the equation to get all the x terms on one side and the constant terms on the other side. The equation then becomes: 2x - x + 5 = x - x - 5, simplifying to x + 5 = -5.Step 2: Next, we subtract 5 from both sides of the equation to solve for x: x + 5 - 5 = -5 - 5, which simplifies to x = -10.

Therefore, the number we were trying to find is -10.

(4x squared) to the third power

Answers

Answer:

64x⁶

Step-by-step explanation:

(4x²)³

= 4³(x²)³   <=the third power applies to both of the terms in the bracket

= 64x⁶      <=simplify

(x²)³ = x⁶ because when powers are raised to a power, they multiply.

(x²)³ = x²⁽³⁾ = x⁶

Write a word problem using 7 groups. Solve your problem?

Answers

seven groups waited in line to see a concert. there were 9 people in each group. how many people were there in total?

9x7= 63
Final answer:

A real-world problem using 7 groups can be illustrated like a builder constructing 7 buildings each requiring 15 bricks per day. Multiplying these, 7 times 15 gives us 105, which is the total number of bricks needed each day.

Explanation:

Consider a scenario where a builder is constructing 7 buildings. Each building needs 15 bricks per day for construction. We can therefore write a multiplication problem to find out how many total bricks are needed each day.

So, 7 (groups of buildings) multiplied by 15 (bricks per building) equals a total daily brick requirement. To solve this, you simply multiply 7 by 15 which equals 105 bricks needed each day.

This is a simple real-world problem to help understand the concept of multiplication as repeated addition. Here, you're adding 15 bricks 7 times since there are 7 buildings.

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The price of packs of bubble gum are listed in the table below.

Bubble Gum Prices


Size of Pack Price

5 pieces $0.35

10 pieces $0.75

12 pieces $1.00

15 pieces $1.35


Which size pack of bubble gum has the lowest unit rate?


Answers

Answer:

The first one

Step-by-step explanation:

0.35÷5=0.07

0.75÷10=0.075

1.00÷12=0.08

1.35÷15=0.09

deigo pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle?

Answers

Answer:

20% x 5 = 100%

6.8 x = 34

so there was 34 oz of water in the full bottle

Step-by-step explanation:

Other Questions
Indium (In) is made up of 95.7% 115In and 4.3% 113In. The atomic mass of 113In is 112.904 amu . The atomic mass of 115In is 114.904 amu . What is the average atomic mass of a sample of indium? a. 113.909 amu b. 114.5 amu c. 114.818 amu d. +666+115.00 amu Read the excerpt from "How to Think Like a Researcher," a chapter from How to Find Out Anything.Whether youre nosing around your local town library to find a biography of your favorite writer or downloading giant data sets from a U.S. government agency or from a university in a remote country, the principles of research are the same. By mastering the research process and undertaking it in the spirit of adventure and discovery, youll soon realize that it is indeed possible to find out anything.Which word helps signal that this is a procedural text?A. whetherB. adventureC. processD. possible A researcher is interested in age-related changes in personality. She administers personality tests to a group of 15-year-olds and then retests those same people every 5 years until they are 40 years old. This researcher is using the:____________ complete the table to determine if wavelength varies inversely with frequency... The article modeling sediment and water column interactions for hydrophobic pollutants suggests the uniform distribution on the interval (7.5,20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region stats.1. what is the mean and variance of depth?2. what is the cdf of depth?3. what is the probability that observed depth is at most 10? between 10 and 15?4.what is the probability that the observed depth is within one standard deviation of the mean value? within 2 standard deviations? Omar's current annual salary is $75,000. How much will he need to earn 20 years from now to retain his present purchasing power if the rate of inflation over that period is 3%/year? Assume that inflation is continuously compounded. (Round your answer to the nearest cent.) Which one of the following is the correct presentation of Accounts Receivable and its contra account on the balance sheet? Accounts Receivable $642,000 Less: Bad Debt Expense (17,000) Less: Allowance for Doubtful Accounts (2,000) $623,000 Accounts Receivable $642,000 Plus: Allowance for Doubtful Accounts 2,000 $644,000 Accounts Receivable $642,000 Less: Allowance for Doubtful Accounts (2,000) $640,000 Accounts Receivable $642,000 Less: Bad Debt Expense (17,000) $625,000 For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 505 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 530.What is the probability that a sample of 35 exams will have a mean score of 530 or more if the exam scores follow the same distribution as in the past? 3) Write an equation for the relationship between the number of rectangles (x) and the perimeter ofthe figure (y)? What "smoking gun" was found in the unexpurgated White House tapes that Nixon was finally forced to release in August 1974, which made it virtually certain that the Senate would impeach him? Identify the events that took place in Kansas as a result of the passage of the Kansas-Nebraska Act.Group of answer choices (MORE THAN 1 ANSWER)A)In the 1855 election, individuals from Missouri entered into Kansas and illegally elected pro-slavery legislatures.B)Rival groups, both pro- and anti-slavery, attempted to gain political control of the territory and recruited immigrants to move to Kansas.C)Free-state advocates met in Topeka, drafted a free-state constitution, and applied for statehood.D)The Kansas governor personally removed any pro-slavery members to ensure an anti-slavery legislature. The function f(x) = 2x + 26 represents the distance a flock of birds travels in in miles. The function g(x) = x 1 represents the time the flock traveled in hours.Solve f divided by g of 5, and interpret the answer. At a rock concert, a dB meter registered 130 dB when placed 2.5 m in front of a loudspeaker on stage. (a) What was the power output of the speaker, assuming uniform spherical spreading of the sound and neglecting absorption in the air? (b) How far away would the sound level be 85 dB? How many liters of each of a 15% acid solution and a 65% acid solution must be used to produce 80 liter of 60% acid solution? You pull a suitcase along the floor by exerting 43N at an angle. The force of friction is 27 N and the suitcase moves at a constant speed. What angle does the handle make with the horizontal? Whats the difference between cancer cells and normal cell Marcella just gave birth to a baby who is preterm and low-birthweight. In addition, Marcella experienced high blood pressure throughout her pregnancy. Marcella is most likely _____ years old. Walt has decided to sell the home he has lived in for 50 years. The house has two bedrooms on the first floor, a finished basement, and a finished attic with a low ceiling. To prepare his home for sale, he shoulda Underestimate the cost of utilities.b Keep everything "as is."c Exaggerate the size of his yard.d Take steps to remove excess furniture to make areas look larger.e List his house as a three-bedroom. The acceleration vector of a particle in uniform circular motion __________. 9. If AXYZ ~ ARST, find the value of x.