what is the value of p?

What Is The Value Of P?

Answers

Answer 1

The value of p, using the exterior angle property is 53°.

What is the exterior angle property of a triangle?

The exterior angle property of a triangle states that the sum of the measures of the two non-adjacent angles of a triangle is equal to the measure of the exterior angle of the triangle. This means that if a triangle has three interior angles, the measure of any non-adjacent angle of the triangle must be equal to the measure of the exterior angle of the triangle. This property is useful in solving for unknown angles when the measures of two angles are known. For example, if two angles of a triangle measure 30° and 45°, then the measure of the third angle must be 105°, which is the same measure of the exterior angle.

The Exterior angle is = Sum of the Interior opposite angles.

By using the exterior angle property, we can get the following:

p+p-13°=p+40°

=>p=40°+13°

=>p=53°

The value of p is 53°

To learn more about the exterior angle property of the triangle, visit the link below:

https://brainly.com/question/14256482

#SPJ1


Related Questions

what is 1/2 times 3 ​

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

3 times 1/2=1/5

past records show that the average number of accidents drowning at a beach resort is 3 per year for every 100000 of tourists visiting the resort. if in a year 200000 tourists visited this resort, find the probability that;
a. there will be no drowning this year
b. there will be at least 6 accidents this year

Answers

The probability that there will be no drowning this year is 0%

and  the probability that there will be at least 6 accidents this year is 0.003%

What is the probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We have,

3 per year for every 100000 of tourists

if in a year 200000 tourists visited this resort,

Probability formula:

P(A) = f / N

P(A) = Probability of an event (event A) occurring.

f = Number of ways an event can occur (frequency)

N = Total number of outcomes possible.

so f = 3,

N = 100000

P(A) = f / N = 3/100000 = 0.00003 = 0.003%

so, the probability of the previous year is 0.003%.

0.003% = f / 200000

f = 200000 * 0.003% = 6

a) The probability that there will be no drowning this year:

P(A) = 0 / 200000 = 0

b) The probability that there will be at least 6 accidents this year:

P(A)  = 6 / 200000

P(A) = 0.003%

Hence, the probability that there will be no drowning this year is 0%

and  the probability that there will be at least 6 accidents this year is 0.003%

To learn more about the probability visit,

https://brainly.com/question/25870256

#SPJ1

Simplify the Linear Expression 6(y + 2) + 9 Responses

Answers

The linear expression 6(y + 2) + 9 in the simplified form will be 6y + 27.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear expression is given as,

⇒ 6(y + 2) + 9

Simplify the expression, then we have

⇒ 6(y + 2) + 9

⇒ 6y + 18 + 9

⇒ 6y + 27

The linear expression 6(y + 2) + 9 in the simplified form will be 6y + 27.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Suppose that balloon owners get to pay lower costs for insurance next year. How would this affect the demand curve for balloon rides? How would this affect the supply curve for balloon rides?

Answers

A balloon payment is a one-time, large-scale principal payment made near the end of the loan term.

What impact would this have on the demand curve for hot air balloon rides?Total revenue is the amount of money made from the sale of a specific number of items at a specific price.A demand curve is a graph that shows the amounts of stores consumers want at different prices and contains the demand for that product on the y-axis and the price on the x-axis.If a product's price decreases, consumers are more likely to choose it over alternatives that are suddenly more expensive or to simply purchase more quantities of the product, which raises demand from customers.In a similar vein, demand will decline if price rises, all else being equal.

To learn more about demand curve demonstrate refer to:

https://brainly.com/question/5687758

#SPJ1

help meeeeeeeeeee pleaseee

Answers

The number of acres owned for which the average intake is 2200 calories per day is 2 acres obtained by the algebraic expression that relates the acres of land and the calories per day.

What is an algebraic expression?An algebraic expression is formed by variables, constants, and arithmetic operations. An algebraic expression provides the relation between the input and output variables i.e., x and f(x) respectively.Calculation:

It is given that, the number of calories consumed daily by a person owing x acres of land is given by the algebraic expression,

C(x) = 270 ln(x+1) + 1900

The average intake of calories consumed per day is given by C(x) = 2200

Here x is the number of acres of land. Then, the required number of acres of land is

C(x) = 270 ln(x+1) + 1900

⇒ 2200 = 270 ln(x+1) + 1900

⇒ 270 ln(x+1) = 2200 - 1900

⇒ 270 ln(x+1) = 300

⇒ ln(x+1) = 300/270 = 10/9

Applying base 'e' on both sides, we get

⇒ (x+1) = [tex]e^\frac{10}{9}[/tex]

⇒ x+1 = 3.0377

⇒ x = 3.0377 - 1 = 2.0377

When rounding the final answer to the nearest tenths, we get x = 2 acres.

When rounding the final answer to the nearest thousand, we get x = 2.038 acres.

Thus, for an average intake of 2200 calories per day, the number of acres of land owned is approximately 2 acres.

Learn more about algebraic expressions at the following link:

https://brainly.com/question/24875240

#SPJ1

help simplify this 3^1-1

Answers

Any power of 1 is equal to itself

3-1

Solution

2


May I have Brainly

Answer: 2 or 1?

Step-by-step explanation:

3^1 = 3 then 3 - 1 = 2

or 3^(1 - 1) then 3^0 = 1

PLEASE ANSWER ASAP!!
It's two sections and my answers are included but please correct them if I'm wrong

Answers

Some answers are correct, but not all.  These are ones that need fixing.

2a.  

[tex]\lim_{x\rightarrow-2^-}f(x) = 0[/tex] because as you come towards x = –2 from the left, your y-values are getting closer to 0.

2b.

[tex]\lim_{x\rightarrow-2^+}f(x) = 1[/tex] because as you come towards x = –2 from the right, your y-values are getting closer to 1.

2e.

[tex]\lim_{x\rightarrow5}f(x) = -1[/tex] because as you come towards x = 5 from both sides, your y-values are getting closer to -1.

3a.

[tex]\lim_{x\rightarrow3^-}f(x) = -1[/tex] because as you come towards x = 3 from the left, your y-values are -1.

[tex]\lim_{x\rightarrow3^+}f(x) = 1[/tex] because as you come towards x = 3 from the right, your y-values are 1.

[tex]\lim_{x\rightarrow3}f(x)[/tex] does not exist, since those two one-sided limits aren't don't agree.

3b.

[tex]\lim_{x\rightarrow0^-}f(x) = -\infty[/tex] because as you come towards x = 0 from the left, your y-values are getting huge in a negative way.

[tex]\lim_{x\rightarrow0^+}f(x) = \infty[/tex] because as you come towards x = 0 from the right, your y-values are getting huge in a positive way.

Use the formula A=P (1+ r/n)ⁿ⁺ to solve the compound interest problem.
Find how long it takes a $ 1700 investment to earn $ 500 interest if it is invested at 2 % interest compounded quarterly.
$ 500 interest will be earned in approximately ___ years. (Round to the nearest tenth.)

Answers

The answer to the given problem can be stated as, "$ 500 interest will be earned in approximately 0.14 years."

What is compound interest?

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

The formula to calculate the amount is as follows,

A = P(1 + r)^(nt)

The, the interest is given as  P[(1 + r)^(nt) - 1]

Substitute all the corresponding values in the above expression to obtain,

500 = 1700[(1 + 2/100)^(nt) - 1]

=> 500 + 1700 =  1700(1 + 2/100)^(nt)

=> (1 + 2/100)^(nt)  = 2200/1700

=> 1.02^(nt) = 22/17

Since, there are 4 quarters in one year, n = 4.

1.02^(4t) = 1.294

=> 4t = log(1.294) ÷ log(1.02)

=> 4t = 0.562

=> t = 0.14

Hence, it will take 0.14 years to earn the interest of $500.

To know more about compound interest click on,

https://brainly.com/question/14295570

#SPJ1

Kayla is marking down slippers so that they sell. She advertises that they are now $37, down from $74. What percentage of discount is that

Answers

That would be a 50 percent discount

Takeuru only uses eggs for souffles in his restaurant. He uses 3 eggs per souffle. Last week he bought 4 times as many eggs as he baked souffles. Takeuru has 18 eggs left over.

How many eggs did Takeuru buy and how many souffles did he bake?

Answers

Takeuru made 18 souffles with the 72 eggs he purchased.

What is meant by ratio?

A ratio in mathematics demonstrates how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Let e = the quantity of eggs Takeuru purchased.

Takeuru purchased s souffles total.

Then, as Takeuru purchased 4 times as many eggs as he used to make soufflés, e=4s.

Since Takeuru uses 3 eggs for each souffle he bakes and has 18 eggs remaining after backing, the equation is: e-3s=18.

This states that after Takeuru utilized three eggs for each souffle, there are still 18 eggs available.

There are now two equations:

e=4s

e-3s=18

When we solve for s using equation (2) and the value of e from equation (1), we get the following results: s=18

e=4s

e=4×18

e=72

Therefore, Takeuru purchased 72 eggs.

There were 18 soufflés that Takeuru purchased.

To know more about ratio, visit

https://brainly.com/question/13419413

#SPJ1

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y = x5, y =
square root of x
; about the x-axis

Answers

Rotating the area bounded by the given curves around the designated line yields the solid's volume as [tex]V = \frac{9}{22}\pi[/tex]

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere. Different forms have various volumes.

The amount

of space that a solid occupies is measured by its volume. The amount of unit cubes required to completely fill the solid serves as the measurement. The capacity of an object to hold matter is generally thought of as its volume in three dimensions.
The functions provided are,

[tex]`y = f(x) = \sqrt{x}``y = g(x) = x^5`[/tex]

By rotating the area around the x-axis, the solid's volume is given by (using washer method)
[tex]V = \pi int_a^b [f^2(x)-g^2(x)]dx[/tex]
evaluate the integral, limit the plugins, and
[tex]V = \pi int_0^1 [(\sqrt{x})^2-(x^5)^2]dx\\\\V= \pi int_0^1 [x-x^10]dx V = \pi [\frac{x^2}{2}-\frac{x^11}{11}]_0^1 V = \pi [\frac{1^2}{2}-\frac{1^11}{11}]. V = \pi [\frac{1}{2}-\frac{1}{11}] = \frac{9}{22}\pi[/tex]

To know more about Volumes, refer to this link:

https://brainly.com/question/1578538


#SPJ4

20 point question! Please help!

Answers

With 3 you will have 9pi
With 13 you will have 169pi
So 169/9 so 18,8

What’s the answer please thank u

Answers

Answer: 1/2

Step-by-step explanation:

slope is rise over run (up and down over left to right)

The price of a cake plus 11% delivery charge comes to a total cost of $19.98. What was the price of the cake?

Step 1 of 2 : Describe the above situation as a linear equation, using "x" or "y" as variable names to describe the unknown quantity. Enter the equation in the box below:

Answers

Answer:

x + 0.11x = 19.98

Step 2 of 2 : Solve the equation for the unknown quantity.

x = 18.18

Mrs tucker writes the fraction 11/4

Answers

Answer: 4 2/3

Step-by-step explanation:

Taylor earns $10.35 per hour and is paid double-time for each hour that she works over 40 hours in a week. Determine Taylor's gross pay if she worked 48 hours last week.
$248.40
$579.60
$596.80
$414.00

Answers

579.60 is the answer

You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the price of the shirt and y represent the price of the pants. Write an equation that can be used to find the price of the shirts and pants. Directions: Write the equation in both slope-intercept and standard form for each of the scenarios below. a. Standard Form: b. Slope-Intercept Form: c. If the shirts cost $20 each how much were each of the pants? d. Using the Standard Form, identify the x-intercept of the graph and explain how the x-intercept relates to the price of the pants and shirts. e. Using the Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the price of the pants and shirts

Answers

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so

This is the equation of the line in standard form

Convert to slope intercept form

Isolate the variable y

subtract 3x both sides

Divide by 2 both sides

----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

The x-intercept is C/A

we have

so

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

For y=0

solve for x

The x-intercept is the point (100,0)

For more answers, Contact:
https://brainly.com/app/profile/63103549/answers

Consider the algebraic expression
32pq2−4p2q+12pq−7

Find terms that are not constants.

a) 32p2q,−4p2q,12pq, 7

b) 32, -4, 12, 7

c) 32pq2,4pq2,12pq

d) 32pq2, −4p2q, 12pq

Answers

The term which are not constant are;

⇒ 32pq², - 4p²q, 12 pq

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

⇒ 32pq² - 4p²q + 12pq - 7

Now,

We know that;

In the algebraic expression the constant term has no variables.

Thus, The term which are not constant are;

⇒ 32pq², - 4p²q, 12 pq

Therefore, The term which are not constant are;

⇒ 32pq², - 4p²q, 12 pq

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 50 POINTS

Answers

Answer:

Step-by-step explanation:

Its A

Answer:A

Step-by-step explanation:A cylinder with 8 units.

Find the requested value.
f(4) for f(x) =
(7x+7, if x ≤0
2-3x, if 0 X, if x ≥ 3

A)4
B)3
C)35
D)-10

Answers

The requested value of f(4) is -10.

What is an expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Here, we have

Given:  f(x) =(7x+7, if x ≤ 0

2-3x, if 0 =X, if x ≥ 3

f(4) means the value of f(x) when x = 4.

Which expression on the right applies when x = 4?  

The first one because it applies only when x ≤ 0 and

The last one because it applies when x ≥ 3 and 4 is greater than 3.  The answer is the last expression.

since 4 lies between 0 and greater than

f(4) = 2 - 3(4)

f(4) = -10

Hence, the requested value of f(4) is -10.

To learn more about the expressions from the given link

https://brainly.com/question/4344214

#SPJ1

the perimeter of the rectangle is 26inches and the length is 8 inches what is the width?​

Answers

Answer:

5 inches

Step-by-step explanation:

P=2(l+w)

Solving for w

w = p / 2 - l = 26 /2 - 8 = 5

The graph shows the proportional relationship between the number of gems collected and the number of levels that h been completed in a video game.
Determine the constant of proportionality for the relationship.

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The constant of proportionality for the relationship is 70.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 6 is an equation.

We have,

The number of gems collected at different levels is:

At 2 levels, 140 gems are collected.

At 4 levels, 280 gems are collected.

At 6 levels, 420 gems are collected.

This means.

y ∝ x

y is the number of gems collected.

x is the level.

Now,

y = kx

140 = k x 2

k = 140/2

k = 70

Thus,

The constant of proportionality for the relationship is 70.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

To help open up a jewelry store, Ann borrowed money from a bank.
She took out a personal, amortized loan for , at an interest rate of , with monthly payments for a term of years.

For each part, do not round any intermediate computations and round your final answers to the nearest cent.
If necessary, refer to the list of financial formulas.
(a) Find Ann's monthly payment.
(b) If Ann pays the monthly payment each month for the full term, find her total amount to repay the loan.
(c) If Ann pays the monthly payment each month for the full term, find the total amount of interest she will pay.

Answers

(a) Ann's monthly payment: $133.33

(b) Ann's total amount to repay the loan:$8000

(c) The total amount of interest Ann will pay:-$12000

What is amortized loan?

A loan that has planned, monthly payments that are applied to both the principle and interest accrued is known as an amortized loan.

To solve this problem, we need to use the following formula for an amortized loan:

[tex]Monthly\ payment = (Interest rate / 12) * Loan\ amount / (1 - (1 + (Interest \ rate / 12))^(-Term * 12))[/tex]

(a) Find Ann's monthly payment:

Substituting the given values into the formula, we get:

[tex]Monthly\ payment = (0.08 / 12) * 20000 / (1 - (1 + (0.08 / 12))^(-5 * 12))\\\\Monthly\ payment = 133.33[/tex]

Therefore, Ann's monthly payment is $133.33.

(b) Find Ann's total amount to repay the loan:

The total amount to repay the loan is equal to the sum of the monthly payments over the term of the loan. Since Ann's monthly payment is $133.33 and the term of the loan is 5 years, the total amount to repay the loan is equal to $133.33 * 5 * 12 = $8000.

(c) Find the total amount of interest Ann will pay:

The total amount of interest Ann will pay is equal to the total amount to repay the loan minus the loan amount. Since Ann's total amount to repay the loan is $8000 and the loan amount is $20000, the total amount of interest Ann will pay is equal to $8000 - $20000 = -$12000.

Note that the total amount of interest Ann will pay is a negative number because the loan amount is greater than the total amount to repay the loan. This means that Ann will end up paying less than the loan amount due to the amortization of the loan.

To know more about amortized loan visit,

https://brainly.com/question/17960115

#SPJ1

Let A={9,8,3,0,5} and B={8,4,7,5,0}. Select from the following choices the one that represents the intersection of A and B?

Answers

The required intersection of the two sets A and B is given as A∩B = [8, 5, 0].

Given that,
Let A={9,8,3,0,5} and B={8,4,7,5,0}. The intersection of A and B is to be determined.

What is set?

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

here,
P[PUB] = {9,8,3,4,0,5,7} = 7
P[A∩B] = P[A] + p[B] - P[AUB]
P[A∩B] = 5 + 5 - 10
            = 3
From accumulating the common elements between the sets,
A∩B = [8, 5, 0]

Thus, the required intersection of the two sets A and B is given as A∩B = [8, 5, 0].

Learn more about sets here:
https://brainly.com/question/8053622
#SPJ1

The formula A=23.1 e^{0.0152t} models the population of a US state, A, in millions, t years after 2000.
a. What was the population of the state in 2000 ?
b. When will the population of the state reach 28.3 million?
a. In 2000 , the population of the state was ? million.

Answers

The population of the city in 2000 = 23.1 million

In 2006 the population will be equal to 28.3 million

Applications of Compound interest:

Compound interest may be used in a variety of situations, including increasing or decreasing population, Increasing the count of bacteria increasing an item's value, and a decrease in an item's worth.  

The formula for Compound interest is given by

                            A = Pe^rt

Where P = Principal amount or Initial value

r = rate of interest or increase

t = time period

Here we have

The formula [tex]A = 23.1 e^{(0.0152t)}[/tex] represents the population of a US state, A, in millions, 't' years after 2000.  

Here we need to solve the following questions

a. What was the population of the state in 2000

Compare the given formula with A = Pe^rt  

=>  [tex]23.1 e^{0.0152t} = Pe^{rt}[/tex]    

=> Initial value or initial population, P = 23.1 and

rate of increase r = 0.0152  

Therefore,

The population of the city in 2000 = 23.1 million

b. When will the population of the state reach 28.3 million?

As we know in 2002 the population = 23.1 million

Let's assume that after 'n' year the population will become 28.3 million

As we know Rate of increase = 0.0152    

From the given formula

Population of the city after n, A = 23.1 e^(0.0152n)  

As we assumed the population after n years = 28.3

=>  23.1 e^(0.0152n)  = 28.3

=> e^(0.0152n)  = 28.3/23.1

=> e^(0.0152n) = 1.225  

Apply log on both sides

=> log e^(0.0152n) = log 1.225  

=> 0.0152n log e = log 1.225  

=> 0.0152n (1) = 0.0881    

=> n = 0.0881/0.0152

=> n = 5.8 ≅ 6

After 6 years the population will be 28.3 million

After 6 years i.e 2000 + 6 = 2006  

Therefore,

In 2006 the population will be equal to 28.3 million

 

Learn more about Population Problems at

https://brainly.com/question/13945651

#SPJ4

Mrs. Perky bought 2 3/4 gallons of blue paint. Each gallon of blue paint cost $19.50. Mrs. Perky also bought 1 1/3 gallons of orange paint. Each gallon of orange paint cost $16

Answers

Answer:

$74.96 if rounding to hundredths place.

Step-by-step explanation:

If you are looking for the total amount spent, first we will convert 2 3/4 into a decimal, which is 2.75. 2.75 X 19.50 = 53.625. She bought 53.525 dollars worth of blue paint, now we solve for orange. 1 1/3 X 16 = 64/3, which is simplified to 21 1/3. If we add the two togetherwe get 74.9583, but the 3 is repeated. If you are asked to rount to the 100th place, the asnwer is $74.96. If you are rounding to nearest dollar, it is about $75.

Hope this helped :)

Find the value of Za:

Z 0.47=

Round to 2 decimals

Answers

The value of za is 80.47.

What is value?

Value is the regard that something is held to deserve,the important, worth or usefullness of something.

let us  find the value of zero Alpha, Given that alpha is  .32. So the value of Z the it is  0.32. Well, we need to begin to  considering that we need to the  find actually the differentiate one minus alpha. Thus it is  going to be in this case one of the  (-) 10.32. This is going to be the  0.68. So actually Z of .32, we're going to need to find 0.68 inside the Z table. So let's look at it at it. Look at that at 0.68 oh eight.Let  give  us the Z score of 80.47. So we can tell that the Z score of zero of alpha, given that the  Alpha is 00.32 is going to be 0.47.

To know more about value click-

https://brainly.com/question/843074

#SPJ1

Consider the following solid s. The base of S is a circular disk with radius r. Parallel cross-sections perpendicular to the base are squares. Set up an integral that can be used to determine the volume V of the solid. V = dx LIO 26TO = 2 dx Find the volume V of the solid. V=

Answers

The volume of the described solid is V = 16r³/3

Given,

A solid line S should be drawn between z=a and z=b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A (x)

Volume of S = limₙ→∝ ∑i=₁ⁿ A(xi) Δx = [tex]\int\limits^b_a {A(x)} \, dx[/tex]

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = ₋[tex]\int\limits^r_r {A(x)} \, dx[/tex]

Substitute A(x) from (1)

V = ₋[tex]\int\limits^r_r {4(r^{2}-x^{2} ) } \, dx[/tex]

⇒V = 4[r²x - x³/3 ]

⇒V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

Learn more about volume of solid here;

https://brainly.com/question/29061740

#SPJ4

The formula A=18.5 e⁰.¹⁷⁰⁸⁺ models the population of a US state, A, in millions,
a. What was the population of the state in 2000 ?
b. When will the population of the state reach 26.6 million?

Answers

The population of the state 2,000 is 18.5 Million. And the time at which the population of the state reaches 26.6 million will be 2.126 years.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The equation is given below.

[tex]\rm A = 18.5 \times e^{0.1708\times t}[/tex]

The population of the state in 2,000 is calculated as,

[tex]\rm A = 18.5 \times e^{0.1708\times 0}[/tex]

A = 18.5 × e⁰

A = 18.5 Million

The time at which the population of the state reaches 26.6 million will be given as,

[tex]\rm 26.6 = 18.5 \times e^{0.1708\times t}\\\\1.4378 = e^{0.1708\times t}[/tex]

Take natural log on both sides, then we have

0.1708 × t = ln 1.4378

t = 2.126 years

The population of the state 2,000 is 18.5 Million. And the time at which the population of the state reaches 26.6 million will be 2.126 years.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

In 52.38, which is in the tens place

Answers

Answer:5

Step-by-step explanation:

5 2 . 3 8

5= tens

2= ones

3= tenths

8= hundreths

5
5 is in the tens place
Other Questions
more commonly found outside the united states, integrated services digital network (isdn) data connections for residential subscribers typically offer users about what connection speed (bandwidth)? Subtract 2w + 4 from 3w - 6 yasmine learns that people who ride motorcycles are far more likely to die in freeway accidents than members of the general population. this is actually true, and she learned it from a completely reliable source. but because of this, when she hears that someone has died in a freeway accident, she tends to think it is probably someone on a motorcycle. is there an error in reasoning here? if so, what is it due to? Which of the following would be the most likely to enhance the strength of smooth muscle contraction upon stimulation?A. A decrease in calmodulin concentration. B. An increase in phospholipase C activityC. An increase in sarcoplasmic reticulum Catt- ATPase activity. the client is admitted to the hospital with a diagnosis of acute pyelonephritis. which clinical manifestations would the nurse expect to find? pain after voiding suprapubic pain perineal pain costovertebral angle tenderness Although some people have come to consider classic rock a musical genre, the term originated as the name of a television dance show. A. TrueB. False for a radical addition reaction involving hbr and propene, sort each reaction step into initiation, propagation and termination steps. When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters per year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.How tall was the tree when Vlad moved into the house?How many years passed from the time Vlad moved in until the tree was 357 centimeters tall? Read the first two stanzas of this poem:Love leads me many times beneath the shadeOf ladies fair, whose necks are beauteous hills,And whiter far than flower ofany grass;And one there cometh, clothed in robes of green,Who in my heart dwells, as strength dwells in rock,And among others seems as fairest lady.And when glance upon this gentle lady,Whose brightness scatters every dusky shade,Her light so smites my heart it turns to rock;I roam, as strangled, all among the hills,Till I revive and am with love more greenThan ever yet was spring or freshest grass.This excerpt iS an example of what type of poem?A. SonnetB. SestinaC. BalladD. Haiku One boxcar of a model train measures 6 inches in length. The actual length of a boxcar is 606 inches (50.5 ft). What is the scale of the model? What is the name for a meeting between a candidate and an employer to assess how well the candidate fits the position and the organization?. Sarah is working in Scratch and trying to access the code editor. What does Sarah need to click on in order to do this? A. the Code tab at the bottom right of the screen B. the Code tab at the top right of the screen C. the Code tab at the bottom left of the screen D. the Code tab at the top left of the screen 9. One of Opal's children is born with shocking red hair. Is Orville the father of this child But wait, Opal swears she has been faithful and claims that the hospitalgoofed and got her baby mixed with another. Is this a plausible explanation? if facultative mutualists do not require another species to help them, why do they engage in mutualism? The current in one part of a series circuit is 5 - 3f amps. The current in another part of the circuit is 7 + 9j amps. Add these complex numbers to find the total current in the circuit. Question #4Multiple ChoiceValues are principles that typically guide or influence an individual's decision-making process. Twoareas of life most often affected or influenced by values includeemotions and reactionsdecisions and responsesphysical health and feelingsattitudes and behaviors please help me mickey and how do I do brainlest your so smart Which option identifies the goal of giving away the product in the following scenario?A vacation company offers drawings for free trips at various food fairs and home shows across the country. This strategy requiresproviding one hundred free trips per year and costs the company a large sum of moneyto create word-of-mouth advertising where people share their good experience with others and recommend the companyto create a push toward the vacation company in allowing consumers to try out the vacations before purchasing oneOto build programs of customer loyalty where those people who attend the free trips continue to go on vacations in the future.to create a pull of consumers into the company by making them aware of the exclusive offers their vacations provide If you combine 400.0 mL of water at 25.00 C and 100.0 mL of water at 95.00 C, what is the final temperature of the mixture? Use 1.00 g/mL as the density of water. In rwanda, there are more young children than teenagers, and more teenagers than adults. This age structure indicates a population that.