A rectangle has side links of 3X +6 inches and 2X -4 inches right in expression to represent perimeter of the rectangle then find the perimeter if X equals 9

Answers

Answer 1

Answer:

ez hi

Step-by-step explanation:

ez


Related Questions

Simplify: (x^5) ^5?

Answers

Answer:

x^25

Step-by-step explanation:

The simplified expression is x²⁵.

Given is an expression (x⁵)⁵, we need to simplify the expression.

To simplify the expression (x⁵)⁵, we need to apply the exponentiation rules.

The exponent outside the parentheses should be distributed to each term inside the parentheses.

In this case, the exponent outside is 5, and the term inside the parentheses is x⁵.

To distribute the exponent, we multiply the exponents together.

Applying the rule, we get:

(x⁵)⁵ = x⁵⁽⁵⁾ = x²⁵

Therefore, the simplified expression is x²⁵.

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QUESTION 1 1 POINT
Jason bought new shoes priced at $75 and sales tax is 6%. What is the total cost of the shoes after-tax?
Provide your answer below:

Answers

The total cost of the shoe after tax is $79.50

Calculating total cost after sales tax

From the question, we are to determine the total cost of the shoes after tax.

From the given information,

Jason bought new shoes priced at $75

and

The sales tax is 6%

The total cost of the shoe = Price of the shoe + Sales tax

Sales tax = 6% of $75

Sales tax = 0.06 × $75

Sales tax = $4.50

Thus,

Total cost of the shoe = $75 + $4.50

Total cost of the shoe = $79.50

Hence, the total cost is $79.50

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What’s the answer by chance

Answers

The sales tax rate of the cocktail table is 0.055

What is sales tax ?

A sales tax is a consumption tax imposed by the government on the sale of goods and services

The cocktail table sold for $250 and the sales tax amount was $13.75. The sales tax rate can be calculated as follows:

Sales tax = list price * sales tax rate

Therefore,

sale tax rate = sales tax / list price

sales tax = $13.75

list price = $250

sale tax rate = 13.75 / 250

sales tax rate = 0.055

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The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume days in a year.
P​ = ​7000$​, r​ = ​7.5%,15 t​ = months

Answers

The simple interest owned for the use of the money is $2625.

What is Simple Interest?

Simple interest is a quick and simple way to figure out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of many forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest. A loan is a sum of money that someone borrows from a bank or other financial institution to cover expenses. Home loans, auto loans, student loans, and personal loans are a few instances of loans.

In the given question we have:

Principal amount  = ​7000$​,

Rate of interest r​ = ​7.5%,

Time t​ =  15 months;

So, applying the formula to calculate simple Interest:

S.I = [tex]\frac{PRT}{100}[/tex]

S.I = [tex]\frac{7000 \times 7.5 \times 15}{ 12 \times 100}[/tex]

S. I =  $2625;

Hence, The Simple Interest owed for the use of the money.  is $ 2625.

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What are the zeros of the function f(x)=x²-x² - 2?
O +3, ti
O +2, ti
O +√2 ti
O+√3, ti

Answers

The zeros of the function f(x) = x⁴− x² − 2 are  ±√2 or x = ±i option third positive or negative square root of 2,  ±i is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a function:

f(x) =  x⁴− x² − 2

Assume u = x²

f(x) = u² - u - 2

(u + 1)(u - 2)

(x² + 1)(x² - 2)

x² = -1

x = √1

x² = 2

x = √2

x = ±√2  or  x² = -1 ⇒ x = ±i

Thus, the zeros of the function f(x) = x⁴− x² − 2 are  ±√2 or x = ±i option third positive or negative square root of 2,  ±i is correct.

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can someone help with this

Answers

Answer:

z=38

Step-by-step explanation:

Using the fact that angles on a straight line add to 180°, the interior angles of the triangle are 86°, (180-3z)°, and (180-4z)°.

Angles in a triangle add to 180°, so:

[tex]86+180-3z+180-4z=180 \\ \\ 86-3z+180-4z=0 \\ \\ 266-7z=0 \\ \\ 7z=266 \\ \\ z=38[/tex]

Solve the problem below

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

 -2 is the input/ domain value

It's corresponding value from the graph is 2.

A. x² +5
B. +5X
C.X + 5
D.5X

Answers

The expression that represents the quotient of given model is x + 5

The correct answer is an option (C)

In this question, we have been given a synthetic division of x^2 + 5x and x

We need to find the quotient.

    x  + 1  + 1 + 1 + 1 + 1        

x) x^2    x   x   x   x   x

 - x^2                                  

    0      x

         -  x                            

            0   x

             -  x                    

                  0  x

                  -  x                

                      0    x

                       -    x            

                             0  x

                             -    x      

                                   0

Therefore, the expression that represents the quotient of given model is x + 5

The correct answer is an option (C)

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77 is 0.7% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 77, slightly less
77, slightly greater than 77, or a lot greater than 77? Explain.

Answers

77 is 0.7% of 11000

this number is a lot greater than 77.

Let 77 is 0.7% of m

0.7 percent of m = 77

(0.7/100) * m = 77

m = 77 * (100/0.7)

m = 11000

Therefore, 77 is 0.7% of 11000

this number is a lot greater than 77.

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6. Use words and numbers to explain how the number 0.4 can mean 40/100 and 4/10 at the same time

Answers

Answer:They are all the same because 40/100 divided by 10 on both sides is just 4/10 and 4/10 as a decimal is equal to 0.4

Step-by-step explanation:

Answer:

0.4 is the decimal form of [tex]\frac{4}{10}[/tex], which means that 4 ÷ 10 = 0.4, shown below.

If you multiply the numerator and denominator of [tex]\frac{4}{10}[/tex] by 10, you would get [tex]\frac{4*10}{10*10} =\frac{40}{100}[/tex]. This is equal in value to [tex]\frac{4}{10}[/tex] because 40 ÷ 100 = 0.4.

Which fractions have a LCD of 84?
100 Point's 50 points each have a blessed day

Answers

The fractions have a LCD of 84 is option C, 2/21,1/4,1/3.

Given:

3/14,1/42,1/6

= 3/14 + 1/42 + 1/6

= 9+42+7 / 42

The LCD  is 42 not 84.

2/84,1/16,1/42

= 6+21+8 / 336

The LCD  is 336 not 84

2/21,1/4,1/3

= 8+21+28 / 84

The LCD is 84

2/3,1/6,1/7

= 28+7+6 / 42

The LCD is 42 not 84

Therefore the fractions have a LCD of 84 is option C, 2/21,1/4,1/3.

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Answer:

[tex]\textsf{C)} \quad \dfrac{2}{21}, \dfrac{1}{4}, \dfrac{1}{3}[/tex]

Step-by-step explanation:

The least common denominator (LCD) is the smallest number that is exactly divisible by each denominator of a set of fractions.

To find the LCD of a set of fractions, reduce the fractions to their smallest equivalent, list the multiples of each denominator, then locate the smallest common number.

[tex]\textsf{A)} \quad \dfrac{3}{14}, \dfrac{1}{42}, \dfrac{1}{6}[/tex]

Multiples of 14:  14, 28, 42, 56, 70, 84, 98, ...

Multiples of 42:  42, 84, 126, 168, 210, ...

Multiples of 6:  6, 12, 18, 24, 30, 36, 42, 48, ...

Therefore, the LCD is 42.

[tex]\textsf{B)} \quad \dfrac{2}{84}, \dfrac{1}{16}, \dfrac{1}{42}=\dfrac{1}{42}, \dfrac{1}{16}, \dfrac{1}{42}[/tex]

Multiples of 42:  42, 84, 126, 168, 210, 252, 294, 336, ...

Multiples of 16:  16, 32, 48, 64, 80, 96, 112, ... , 336, ...

Therefore, the LCD is 336.

[tex]\textsf{C)} \quad \dfrac{2}{21}, \dfrac{1}{4}, \dfrac{1}{3}[/tex]

Multiples of 21:  21, 42, 63, 84, 105, 126, 147, ...

Multiples of 4:  4, 8, 12, 16, 20, 24, 28, ... , 84, 88, ...

Multiples of 3:  3, 6, 9, 12, 15, 18, 21, ... , 84, 87, ...

Therefore, the LCD is 84.

[tex]\textsf{D)} \quad \dfrac{2}{3}, \dfrac{1}{6}, \dfrac{1}{7}[/tex]

Multiples of 3:  3, 6, 9, 12, 15, 18, 21, ... , 42, 45, ...

Multiples of 6:  6, 12, 18, 24, 30, 36, 42, 48, ...

Multiples of 7:  7, 14, 21, 28, 35, 42, 49, 56, ...

Therefore, the LCD is 42.

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.

slope: −43, ordered pair: (0,−25)

Answers

Answer:

[tex] \huge{ \bold{y = - 43x - 25}}[/tex]

Step-by-step explanation:

Equation of a line in slope-intercept form is given by

[tex]y = mx + c[/tex]

where

m is the slope

c is the y intercept

From the question

m = - 43

In order to find c we substitute the point (0,−25) into the equation y = mx + c

That's

[tex] - 25 = - 43(0) + c \\ - 25 = 0 + c \\ c = - 25[/tex]

We now substitute m and c into the equation

We have the final answer as

[tex] \bold{y = - 43x - 25}[/tex]

Hope this helps you

if ally worked 20.56 hours , and makes $10 an hour . how much is pay check? show work.

Answers

Answer:

$205.6

Step-by-step explanation:

20.56hours × $10/hour = $205.6

Use the graph of y=h'(x) below, to estimate point(s) of inflection for the function h(x) , as
well as the intervals on which h(x) is concave up and concave down. Explain your reasoning.

Answers

Answer:

At x = 0 and at x = 2 there are points of inflections. In the intervals of

(negative infinity, 0) and (2, positive infinity) it is concave up.

In the intervals of (0, 2) it is concave down.

Step-by-step explanation:

Inflection points are point where h'(x) changes from increasing to decreasing and vise versa.

When a graph is concave up, h'(x) is increasing.

When a graph is concave down, h'(x) is decreasing.

Help find intercept and the slope of the line?

Answers

slope= -3/2, y-intercept=8

y=mx+b m is the slope while b is the y-inteecept




Please help I was sick and missed out on class.Thank you


Answers

Answer:

slope = (1/3)

Step-by-step explanation:

(-8, 2), (-11, 3)

(x₁, y₁)   (x₂, y₂)

m = slope

        y₂ - y₁          3 - 2              1              1

m = ------------ = -------------- = ----------- = -------

        x₂ - x₁         -11 - (-8)       -11 + 8        3

I hope this helps!

Area of a Circle Ji-Min needs to replace a circular window having a diameter of 5 ft. She decides to use double strength glass costing $ 3 per square foot. Find the total cost for the glass.

Answers

Ji-Min will spend a total of $235.62 to fence or cover the area of the circular window.

Area of a Circle

What is the area of the a circle?

The area of circle is equal to pi times square of its radius, i.e. πr². To find the area of circle we have to know the radius or diameter of the circle.

Let's find the area of the circle first;

radius = diameter / 2

radius = 5 / 2

radius = 2.5ft

The area of the circle is;

A = πr²

A = π * 5²

A = 25π

A = 78.54ft²

For every square foot, the glass cost $3, this implies that 3 * 78.54 will be the total cost to cover the window.

cost = 3 * 78.54 = $235.62

She will spend $235.62 to fence the window

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If she decides to use double strength glass costing $ 3 per square foot. the total cost for the glass is $58.88.

How to find the total cost?

Given data:

Diameter = 5ft

Glass costing = $3 per square foot

Hence,

Let the radius be 5/2 feet

Area = π × (5/2)²

Area = 25π /4 ft²

So,

Total cost = ( π × 25 /4 × $3)

Total cost = $58.875

Total cost = $58.88

Therefore $58.88 is the total cost.

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Find the equation for a polynomial f(x) that satisfies
▪ Degree 5
▪ Root of multiplicity 2 at x =
= -4
▪ Root of multiplicity 1 at x = -1
■ Root of multiplicity 2 at x = -2
▪y-intercept of (0, 128)

Answers

The polynomial function that has the degree of 5 is written as f(x) = 2x⁵ + 26x⁴ + 128x³ + 296x² + 320x + 128

Polynomial function:

The equations formed with variables, exponents and coefficients are known as the polynomial equations. And it can have different exponents, where the higher one is called the degree of the equation.

Given,

Here we have the following things,

Degree = 5

Root of multiplicity 2 is x = -4

Root of multiplicity 1 at x = -1

Root of multiplicity 2 at x = -2

y-intercept of (0, 128)

Here we need to find the polynomial equation of the function.

According to the given roots of multiplicity, we have the factors of the polynomials are,

=> (x + 4)² (x + 1) (x + 2)²

So, the general form of the polynomial function can be written as,

=> f(x) = A (x + 4)² (x + 1) (x + 2)²

In order to find the 5 degree polynomial function, we have to calculate the value of A.

To Find the value of A, we have to apply the y - intercept point on the equation then we get,

=> 128 = A (0 + 4)² (0 + 1) (0 + 2)²

=> 128 = A (4)² (1) (2)²

=> 128 = A (16 x 1 x 4)

=> 128 = 64A

=> A = 2

Now, the polynomial function is written as,

=> f(x) = 2 (x + 4)² (x + 1) (x + 2)²

When we expand this one then we get,

=> f(x) =2 [x⁵ + 13x⁴ + 64x³ + 148x² + 160x + 64]

Therefore, the resulting polynomial function is,

=> f(x) = 2x⁵ + 26x⁴ + 128x³ + 296x² + 320x + 128

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cannot decide which of two washing machines to buy. The selling price of each is ​$550. The first is marked down by ​40%. The second is marked down by ​30% with an additional ​10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Answers

The selling price of the two washing machies are

first washing machine is $330second washing machine is $346.5

I will buy the first because it has a lower selling price

How to determine the best washing machine to buy

The question is a percentage problem

The first washing machine has a mark down by ​40%

= 40 percent

= 40 / 100

= 0.4

marked down factor = 1 - 0.4 = 0.6

selling price of the first machine = 550 * 0.6 = 330

the second washing machine has mark down of 30%

30% = 0.3

marked down factor = 1 - 0.3 = 0.7

selling price of the second washing machine at first mark down

= 550 * 0.7 = 385

marked down again

10% = 0.1

the  factor here is = 1 - 0.1 = 0.9

selling price of the second washing machine at second mark down

= 385 * 0.9 = 346.5

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Lisa wants to buy a hat that costs 114 Argentine Pesos.She has $25.Does she have enough money to buy the hat?

Answers

Answer:

150

Step-by-step explanation:

I had this on one of my quizzes, hope this helps :D

How many cubic inches are in an aluminum can with a 2 3/5 diameter and 5 1/4 in height?

Answers

According to the volume of cylinder formula, an aluminum can with a 2 3/5 diameter and 5 1/4 in height are in 27.86 cubic inches.

Volume of Cylinder

The formula to calculate the volume of the cylinder is

Volume of a cylinder = πr²h cubic units.

where

r refers the radius

h refers the height.

Given,

Here we have an aluminum can with a 2 3/5 diameter and 5 1/4 in height and now we have to find the volume in cubic inches.

While we looking into the given question, we know the following values,

Diameter = 2 3/5

When we simplify it, then we get the value of diameter as

d = 13/5 or 2.6

Similarly, the value of height is rewritten as,

h = 5.25

So, based on the formula of volume of cylinder,

We get the value as,

=> V = π x (2.6/2)² x 5.25

Apply the value of π as 3.14, then we get,

=> V = 3.14 x (1.3)² x 5.25

=> V = 16.485 x 1.69

Therefore, the volume in cubic inches is 27.86 cubic inches.

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At a livestock market, one customer purchased 4 sheep and 2 cows for a total of $1660. Another customer purchased 3 sheep and 5 cows for a total of $2925. Create a system of equations and solve it with substitution or elimination, and find the price of a sheep, and the price of a cow.

Answers

Answer:

[tex]s \approx \$182.14[/tex]

[tex]c \approx \$435.72[/tex]

Step-by-step explanation:

Set up a system of equations, where s is the cost of a sheep and c is the cost of a cow:

[tex]4s + 2c = \$ 1660[/tex],  [tex]3s + 5c = \$ 2925[/tex]

First, isolate c in the first equation.

[tex]4s + 2c = \$ 1660[/tex]

[tex]2c = \$ 1660 - 4s[/tex]

[tex]c = \$ 840 - 2s[/tex]

Next, substitute this value into the second equation:

[tex]3s + 5c = \$2925[/tex]

[tex]3s + 5(\$840 - 2s) = \$2925[/tex]

and simplify.

[tex]3s + \$4200 - 10s = \$2925[/tex]

[tex]-7s = -\$1275[/tex]

[tex]7s = \$1275[/tex]

[tex]s \approx \$182.14[/tex]

Finally, plug this value into the first equation to get the value of c:

[tex]4(\$182.14) + 2c = \$1660[/tex]

[tex]2c = \$1600 - \$728.57[/tex]

[tex]c \approx \$435.72[/tex]

So, a sheep costs about $184.14, and a cow costs about $435.72.

X-y=3 determine the x and y intercepts of linear equations

Answers

Answer:

y-intercept (0,-3)

x-intercept (3,0)

Step-by-step explanation:

Let x = 0

-y =3

y = -3

(0,-3)

Let y = 0

x = 3

(3,0)

if I have 10 pancakes and I give 5 to jimmy how many pancakes do I have

Answers

Answer: 5 is the ancer

Step-by-step explanation:!

I believe 5 is the answer to this question

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?

x^2+32+116=12x

Answers

Answer:

Below

Step-by-step explanation:

x^2 + 32 + 116 = 12x         1st intermediate step: put everything on one side

x^2 -12x + 148 = 0      2nd intermediate step : re-arrange with constant on R

x^2 -12x = -148            3 rd intermediate step : take 1/2 of the 'x' coefficient

                                            square it and add to both sides

x^2 -12x + 36 = -148 + 36    4th intermediate step :   simplify

(x-6)^2  = -112

find the slope of (-4,4) (0,0)

Answers

The slope for the following question is = 4.

What is slope?Slope is used to describe the steepness of a line. The definition of slope is the rise of a line over the run of a line, or the change in the vertical direction (y) over the change in the horizontal direction (x). When one thinks of skiing down a hill or climbing up a mountain, the angle at which they are descending or ascending is the slope. Sometimes the slope can be fairly flat or very steep depending on what it is.The slope of an object indicates how steep it is. Slope knowledge is crucial for daily decision-making. For instance, understanding a roof's slope enables builders to determine whether specific construction materials are required for shingling projects. Since there must be sufficient grade for water to pass through the tile, slope is crucial in agriculture when tiling a field. Slope can also be calculated using elevation points on a GIS, a type of digital map that can highlight areas with sharp elevation changes in the ground.

acc to our question-

the two y's are 0 and 4 so its 0-4then the two x's are0 and one so its 0-10-4/0-1 is -4/-1 which when simplified the negatives cancel out leaving you with a positive 4

hence the value of slope=4

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1. Mark is going to a carnival. He is anxiously looking forward to riding as many rides as possible. In order to enter the park each person is charged a $3 admission fee. The tickets for the rides are $0.75 each.
Match the following number of rides (x) and the total cost with admission (y) for Mark's trip to the carnival for 0 to 4 rides.

1 --> $3.00
2 --> $4.50
4 --> $3.75
3 --> $6.00
0 --> $5. 25

2. Write an equation that describes the relationship between the number of rides (x) and the total cost (y).

3. Use your equation from question #2, to determine the cost of 100 tickets.

4. If Mark's grandmother gave him $50, how many rides could be ridden? (no decimals)

Answers

Answer: hi

Step-by-step explanation:

this is it

Determine which set of side measurements could be used to form a right triangle.

square root of 18, square root of 32, 50
square root of 14, 6, square root of 50
4, 8, 20
4, 5, 6

Answers

The set of side measurements that could be used to form a right triangle is

square root of 14, 6, square root of 50

How to determine the side measurements that could be used to form a right triangle

This gotten by  Pythagoras theorem, with the formula stated as

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

50² = (√18)² + (√32)²

50² = 18 + 32

50² = 50 - incorrect

(√50)² = 6² + (√14)²

50 = 36 + 14

50 = 50 - correct

20² = 8² + 4²

400 = 64 + 16

400 = 80 - incorrect

6² = 5² + 4²

36 = 25 + 16

36 = 41 - incorrect

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the product of two and a number, divided by five 5

Answers

The expression of the given statement is  [tex]\frac{2x}{5}[/tex] .

What is algebraic expression?

  When terms are combined using operations like addition, subtraction, multiplication, division, etc., the result is an algebraic expression (or variable expression). Let's look at the formula 5x + 7 as an illustration. Consequently, we can state that 5x + 7 is an illustration of an algebraic statement. Here are some more examples: 5x + 4y + 10

Here the given product of two and a number. Lets us take number as x. Then ,

=> 2*x= 2x

Product of two and a number divided by 5. Then,

=> [tex]\frac{2x}{5}[/tex]

Hence the algebraic expression of the given statement is  [tex]\frac{2x}{5}[/tex] .

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There are 7 highway routes from City A to City B, 8 highway routes from City B to City C, and 10 highway routes from City
C to City D. How many different highway routes are there if you want to travel to City A, B, C, and D in that order?
highway routes from City A to City D.

There are how many highway routes from city a to city d

Answers

The number of highway routes from A to D is 560

Number of highway routes from A to B = 7 highways

Number of highways routes from B to C = 8 highways

Number of highways routes from C to D = 10 highways

Number of routes from A to D = Number of highway routes from A to B × Number of highways routes from B to C × Number of highways routes from C to D

Here we have to use multiplication

Substitute the values in the equation

Number of routes from A to D = 7 × 8 × 10

= 560 highways

Hence, the number of highway routes from A to D is 560

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The pure monopoly extracts all surplus from consumers, yielding higher profits than any other pricing method when it employs which of the following?A. Perfect price discriminationB. Perfectly competitive pricingC. Personal pricingD. Open Tier Price discriminationE.First degree Price discrimination the inventory system emplouying accounting records that continuously disclose the amont of inventory is called If cos x = -2/5, what is the value of cos 2x? All are signs of neglect and emotional abuse EXCEPT:A. Angry and aggressiveB. Difficulty concentratingC. Withdrawn, sad and depressedD. Extreme fear towards adults Which quantities (initial horizontal speed, initial vertical speed, range, flight time, or maximum height) are proportional to the square of the initial velocity?(This is about angled projectiles)(Include an explanation please) Increase 52 by 14% pl 5 customers entered a store over the course of 3 minutes. At what rate were the customers entering the store in customers per minute? What is the subject matter for a plea for mercy Who was awarded the highest-ever rank in the u. S. Armed forces? george patton douglas macarthur george washington dwight d. Eisenhower. people who pursue careers in management can expect their jobs to include the planning, controlling, leading, and organizing of organizational resources. by definition, the types of resources managers manage include resources. Which of the following is accurate when discussing specific heat? A) Specific heat values for solids will never vary for different ranges of temperature. B) The specific heat of a gas can be measured at constant pressure. C) Specific heat values for liquids will never vary for different ranges of temperature. D) The specific heat of a gas can be measured at constant volume only. KQuestion 1, 6.8.1Part 1 of 5The size P of a certain insect population at time t (in days). obeys the function P(t) = 300e0.05t(a) Determine the number of insects at t=0 days.(b) What is the growth rate of the insect population?(c) What is the population after 10 days?(d) When will the insect population reach 420?(e) When will the insect population double?(a) What is the number of insects at t=0 days?0 insectsHW Score: 0%, 0 of 4 pointsO Points: 0 of 1** question content areathe cost of direct materials is assigned to a job by the use of a source document known as a: a.time ticket. b.sales receipt. c.schedule of cost of goods manufactured. d.materials requisition form. The american public grew increasingly aware of the political influence of corporations as?. Which part of Earth experiences physical weathering? (1 point)O crustO mantleO inner coreO outer core0AO Why is mathematics an important tool for scientist? For the given reaction, what volume of O would be required to react with 6.2 L of NO, measured at the same temperature andpressure?2 NO(g) + O(g) 2 NO(g) Suppose weve written a function drawcircle that we want to call every time the mouse is clicked. How can we do this?. What is a biosphere What is the most likely reason the film adaptation changes this scene so that general zaroff shoots arrows at rainsford and his companion?.