Find the circumference of this circleusing 3 for T.C ~ [?]88C = id

a) The order is;

Fishman

Goron

Smith

Other

b) 98 people would have voted for Goron if the estimation was true

c) The estimate was not correct as the actual value obtained (40) is not same as what was estimated (28)

a) We want to order the popularity of choices from greatest to least

What we have to know and understand here is that the higher the percentage, the greater the popularity

Thus, we have it that;

Fishman

Goron

Smith

Other

b) As we can see from the data presented, Goron had 35% of the votes

So, the number of people that voted for Goron will be;

98 people would have voted for Goron if the estimation was true

c) Here, we want to evaluate if the total we had from part B was correct

What we have to do here is get the number that would have been correct if at all 280 people voted

We have this as;

The estimate was not correct as the actual value obtained (40) is not same as what was estimated (28)

Given: Following details for an amount compounded annually-

Required: To determine the amount after 5 years.

Explanation: The formula for compound interest is as follows-

Here, A is the amount accrued.

P is the principal amount.

r is the annual rate as a decimal.

t is the time.

n is the number of times interest is compounded in a year.

In this case, the value of n=1 as we are calculating for annual compounding if the interest is compounded semiannually, n=2. For monthly, n=12. Finally, for daily n=365.

Now substituting the values in the formula as-

Final Answer: Investment after 5 years compounded annually is $51279.55

The given division is

If we use the long division method, we get the following

Answer:

The correct option is D, the sum of the given polynomials is

Explanation:

To find the sum of:

and

We write:

Collect like terms:

The dice simulation method will be suitable according to the given sample space for Kwang to select which night of the week he will go to the shelter.

Step 1: What is the sample space of the outcome?

The sample space will be {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}.

Step 2: Choose a simulation method that matches the sample space.

The dice simulation method will be suitable. Because a dice has 6 faces and the given sample space has 6 elements.

Step 3: Assign each outcome to a random number.

Let's assign randomly:

1 = Monday,

3 = Tuesday,

5 = Wednesday,

2 = Thursday,

6 = Friday,

4 = Saturday.

Step 4: Run 4 simulations to select a night to volunteer for each of the next 4 weeks. List the result for each simulation is below:

1st Simulation: Let's say Kwang rolls the dice and got 4.

2nd Simulation: Let's say Kwang rolls the dice and got 6.

3rd Simulation: Let's say Kwang rolls the dice and got 3.

4th Simulation: Let's say Kwang rolls the dice and got 2.

Step 5: Based upon the simulations state the real-world outcomes for each event. Which day of the week will Tom volunteer for each of the next 4 weeks?

Week 1:  Saturday

Week 2: Friday

Week 3: Tuesday

Week 4: Thursday

Thus, the dice simulation method will be suitable according to the given sample space for Kwang to select which night of the week he will go to the shelter.

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We have to write an equation for each gym of the cost as a function of the months, so:

Now, we want to find the number of months at which the both gym have the same cost, so:

At 6 months the cost of the both gyms is the same.

The t-statistic of the hypothesis is -2.1075 and the P value is 0.04 .

Given that

Sample Size п, = 80 proportion of mean P₁ = 45%

P₁  = 0·45

Sample size п₂ = 40

proportion of mean P₂ = 55%

P₂=0·55

q₁ = 1- P₁=1-0·45 = 0.55

q₂= 1 - P₂ =1-0.55 = 0.45

V₁ = 0.65

Mean= P₁- P₂ = 0.35 -0.55 =-0.20

standard deviation

SE (P₁ P₂) = 0.0949

Test statistic = 0.0949  = P₁- P₂ / SE( P₁- P₂) = -2.1075

t = -2-1075

DF = (N-1)+(N2-1)

Significance level=0.05

CS = 79+39

df = 118

This is a two tailed test for this hypothesis

P = 0.037236

P = 0.037

Hence the t-statistic of the hypothesis is -2.1075 and the P value is 0.037

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number of books Yolanda bought = 14 books

Yoland bought 2 times as many books as Hans. Therefore, Yolanda number of books can be represented as 2n. Where n is the number of books Han bought.

n = number of books Hans bought

2n = 14

divide btoh

Answer:

Larry's age is 10 years

Explanation:

Let Chuck's age be c

Let Larry's age be L

Chuck's age is five years less than twice Larry's age

Mathematically:

Chuck's age is 150% of Larry's age

What this mean is that Chuck's age is 1.5 times multiplied by Larry's age

Mathematically, we have this as:

Now, we can proceed to equate the two equations as follows:

Answer:

D An isosceles triangle

Explanation:

Given that the angles of a triangle are represented by;

Recall that the sum of angles in a triangles is equal to 180 degrees.

Summing up the given angles we have;

We have calculated the value of x.

We now need to calculate the value of each angle;

Therefore, the angles of the triangle are;

From the derived angles, we can notice that the triangle has two equal angles.

So it is an Isosceles triangle.

Answer:

Step-by-step explanation:

4x6 meaning the length is 4 and the width is 6 while as the thickness all around is 31 1/2 inches.

4x6=24

the area is 24 inches

He should use a 24 inch wide nail and the length should be 33/2 so it doesnt unloosen.

Daria bought a bracelet at original cost $14 to sell in her handicraft store. She marked the price up 45%. What was the list price of the bracelet? Round to the nearest cent.

Remember that

100%+45%=145%=145/100=1.45

Multiply the original cost by the factor 1.45

so

$14*1.45=$20.30

Answer:

$2

Explanation:

To solve the given problem, we'll use the below compound interest formula;

where A = future amount = $400

P = the initial amount( principal)

r = annual interest rate in decimal form = 34/100 = 0.34

n = number of compounding periods in a year = 365

t = time in years = 16

Let's go ahead and substitute the above values into our formula and solve for P;

a linear equation is in the form

in which the m is the slope that multiplies the independent variable and b will be the point for the y-intercept

The slope for the equation given is 1.05 since is the value multiplying the independet variable p

The general form of represented of a number in scientific notation is,

Here, the required conditions are,

Note that N represents the set of all possible natural numbers.

Consider the given numbers and match them with the above form.

Clearly, the rightmost number in the given image is in the proper form of the scientific notation,

Here, 'a' is 8.98 and 'n' is 6.

Both the values satisfy the required conditions.

Therefore, it can be concluded that out of all the given numbers, the number represented in scientific notation is,

EXPLANATION

Since we have the given points:

A= (2,1)

B= (10,1)

C= (2,7)

We can represent this in a graphing calculator:

Now, in order to obtain the distance from A to B, we need to subtract both

x-coordinates points:

10-2 = 8 units

Therefore, the distance from A to B is 8 units.

Next, computing the distance from point A to the point C:

y_C - y_A = 7 - 1 = 6 units

Thus, the distance from point A to point C is 6 units.

In order to obtain the distance from the point B to C we need to apply the distance equation as shown as follows:

Subtracting numbers:

Computing the powers:

The distance from point B to point C is 10 units.

Finally, we can conclude that the given points do form a right triangle.

Notice that:

Therefore, we can rewrite the given equation as follows:

From the above equation, we get that the price of the car is decreasing an 8% per year.

Evaluating the given equation at t=0, we get the purchase price:

Answer:

The value of this car is decreasing at a rate of 8 percent per year.

The purchase price of the car was 31600 dollars.

The experimental probability is given by the following formula

In our case, the total number of tries is 10 and the successful number of tries is 3 (landing on tails); thus,

The answer is 3/10

A Probability

1 0.26

2 0.45

3 0.06

4 0.04

5 0.15

6 0.04

Probability to be less or equal than 2 = 0.45 + 0.26

= 0.71

Given the quadratic equation:

We can use the general solution for the quadratic equation ax² + bx + c = 0:

From the problem, we identify:

Finally, using the general solution:

To write in scientific notation we must follow the formula below:

where:

a is a number between 1 and 9;

b is a integer, i.e., can be a positive or negative number

We have also to do some power properties.

For the first question, we get:

So the final answer is 4 x 10^5

For the second one:

Our final answer here is 2 x 10^3.

No. It's not a rotation. It's translation.

for translation, there is a formula that is

and

where (x',y') is the new coordinate and (x,y) is the old one and (a,b) is the increasing value of (x,y)

so here we have the new coordinates are (-1,6), (-3,3), (3,2)

and the olds are (1,6), (-1,3), (5,2)

Thus we can say that the triangle is translated by adding the horizontal value (a) =(-2) to the x-coordinate of each vertex and the vertical value (b)=0 to the y-coordinate.

now you can see

so the right answer is translation.

Annuities

It refers to a special form to accumulate interest over a regular payment or cash flow (C) per period.

Devon decides to save money for her retirement by depositing C=$524 each month in an account that is expected to earn interest with an APR of r=5.25% compounded monthly.

We will calculate the future value (FV) of her investment over a period of n=40 years.

The future value can be calculated with the formula:

Where i is the interest rate adjusted for the compounding period. Since there are 12 months in one year:

The number of periods is also adjusted for monthly compounding:

n = 40*12 = 480

Now apply the formula:

Calculating:

There will be $853,832.69 in Devon's retirement account in 40 years

From the picture:

• height of 1 bean: 1 unit

• radius of 1 bean: 0.25 unit (assumed)

• height of the jar: 11 units

• radius of the jar 4 units

we assume that the jar and the bean are cylinders.

Volume of a cylinder = π*r²*h

where r is the radius and h is the height. Then:

Volume of 1 bean = π*0.25²*1 = 0.2 cubic units

Volume of the jar = = π*4²*11 = 553 cubic units

Therefore, an upper bound for the number of jelly beans is 553/0.2 = 2765

Each arrow represents a subtraction. The beginning of the arrow is the number where the subtraction should start and the point of the arrow is the point where the subtraction should end. The first arrow begins in "0" and ends in "-4", while the second arrow begins on the point of the second one and ends in "-13".

We should first represent the arrow number 1, which is shown below:

Because the arrow starts at 0 and go "4" units to the left, therefore we need to subtract 4.

The second arrow starts from the first and goes 9 units to the left, so we have:

Given:

Amplitude of cosine function, A=3.

Period, T=7π/4.

Midline, D=2.

The time period can be expressed as:

Put T=7π/4 to find the value of B.

The general cosine function can be expressed as,

Substitute B=8/7, A=3 and D=2 in above equation.

Therefore, the cosine function is,

EXPLANATION

Given the number 0.00063718, rounding and writting as a product of a single digit and a power of 10 give us:

6x10^-4

Remember the Binomial Theorem:

Now, consider the following polynomial:

Applying the Binomial Theorem, where:

a = 3a

b= 4b

we get:

thus, expanding the sum, we get:

Now, simplifying we get:

then, we can conclude that the correct answer is:

The variable terms are:

The formula to find the area of a square is:

So, in this case, you have

Therefore, the area of the floor of the closet is 49 square feet.