Which is the equation of a circle with a radius of 8 units and a center at (5, 8)?

Answer:

86 cm is the perimeter

Step-by-step explanation:

Answer:

66.99 cm³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(2)²(16)/3 = 66.99 cm³

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:

$123.75

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

I added all the things she bought and subtracted it by the total and got B. 123.75

Answer:

i think it would be the whole pizza i think that is correct

Step-by-step explanation:

Answer: the third person did not eat anything.

Step-by-step explanation: because there would be no more pizzas left

Answer:

Simplifying 19 + -4c = 17 Solving 19 + -4c = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4c = 17 + -19 Combine like terms: 19 + -19 = 0 0 + -4c = 17 + -19 -4c = 17 + -19 Combine like terms: 17 + -19 = -2 -4c = -2 Divide each side by '-4'. c = 0.5 Simplifying c = 0.5

Step-by-step explanation:

Can I have brainliest

The original price of the shoes was $26.

A coupon is a voucher or a code that can be used to get a discount or a special offer when making a purchase.

Let the original price of the shoes be x.

According to the problem, Martin gets a discount of $3 on the original price, so he pays (x - 3) dollars.

Then, the store takes 20% off the reduced price, which means Martin pays 80% of (x - 3) dollars.

We can write this information as an equation:

0.8(x - 3) = 18.4

Simplifying:

0.8x - 2.4 = 18.4

0.8x = 20.8

x = 26

Therefore, the original price of the shoes was $26.

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Answer:

16% is the answer.

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

Answer:

AC

Step-by-step explanation:

What is a diameter?

It is a line going straight through the center of the circle to the opposite side

So it is AC

Answer:

Step-by-step explanation: The answer is to be calculated with help of taking out averages of the households' Tvs.

In order to calculate the expected value we multiply each value of the random variable by its probability and then add the results.

(1 TV times 350/1000) + (2 TV times 500/1000) + (3 TV times 120/1000) + (4 TV times 30/1000) = 1.83.

on average, each household has 1.83 TVs.

As per the data given, a television channel conducted a study on the number of TVs per household in their service area. Out of 1000 households surveyed, 350 have one TV, 500 have two TVs, 120 have three TVs and 30 have four TVs. We need to determine the number of TVs each household has on average.To calculate the average number of TVs, we need to calculate the total number of TVs and divide that by the number of households.

Totals TVs = (Number of households with 1 TV × 1) + (Number of households with 2 TVs × 2) + (Number of households with 3 TVs × 3) + (Number of households with 4 TVs × 4)Total TVs

= (350 × 1) + (500 × 2) + (120 × 3) + (30 × 4)Total TVs = 350 + 1000 + 360 + 120

Total TVs = 1830

Average number of TVs per household = Total TVs / Number of households

Average number of TVs per household = 1830 / 1000

Average number of TVs per household = 1.83

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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

The work required to pump the water out of the hemispherical tank is 5,930,818.125 ft-lb.

To find the work required to pump the water out of the hemispherical tank, we need to consider the following steps:
Step 1: Determine the volume of the hemispherical tank.
The formula for the volume of a hemisphere is (2/3)πr³,

where r is the radius.

Given the radius is 13 ft, we can calculate the volume as follows:
Volume = (2/3)π(13³)

= (2/3)π(2197)

= 14603.86 ft³.
Step 2: Calculate the weight of the water in the tank.
Given the water weighs 62.5 lb/ft³, we can determine the weight of the water in the tank by multiplying the volume by the water weight:
Water weight = Volume × Weight/ft³

= 14603.86 ft³ × 62.5 lb/ft³

= 912741.25 lb.
Step 3: Determine the average height at which the water must be pumped out.
Since the tank is hemispherical, the average height for pumping the water is half the radius (13 ft).

So, the average height is:
Average height = 13 ft ÷ 2 = 6.5 ft.
Step 4: Calculate the work required to pump the water out of the tank.
Work = Weight × Distance × Force of gravity.

where Force of gravity = 1 (as we're working with pounds and feet, the force of gravity is already accounted for).
Work = 912741.25 lb × 6.5 ft × 1 = 5930818.125 ft-lb.

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Answer:

\(\large \boxed{1296}\)

Step-by-step explanation:

6 raised to 4 indicates that the base 6 has an exponent or power of 4.

\(6^4\)

6 is multiplied by itself 4 times.

\(6 \times 6 \times 6 \times 6\)

\(=1296\)

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Danny must contribute $8,306.23 per year from age 26 to 65 to have $1.49 million remaining in his retirement account after making his final $156,751 withdrawal

We can now determine the present value (PV) of Danny's retirement account at age 75, which is the amount he will withdraw for the next 20 years, by using the following formula:

PV = FV / (1 + r)nPV = $4,127,163.39 / (1 + 0.07)20 = $1,076,824.41 (rounded to 2 decimal places)

The present value (PV) of Danny's retirement account at age 75 is $1,076,824.41, which is the amount he must have in his account at that time.

To reach this goal, he must make contributions from age 26 to 65, which will grow to $1,076,824.41 in 10 years when he retires and begins withdrawing money from his account.

In order to determine the amount of contributions required, we can use the following formula:

PMT = PV / ((1 + r)n - 1) / r

PMT = $1,076,824.41 / ((1 + 0.07)39 - 1) / 0.07 = $8,306.23 (rounded to 2 decimal places)

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The expected value of the discrete distribution is given by:

µ = 2.36

It is given by the sum of each value multiplied by it's respective probability.

In this problem, the distribution is as follows, considering the amounts of each chip:

P(X = 1) = 2/11

P(X = 2) = 3/11

P(X = 3) = 6/11

Hence, the expected value is given by:

\(\mu = \frac{2}{11} + 2\frac{3}{11} + 3\frac{6}{11} = \frac{2 + 6 + 18}{11} = 2.36\)

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To test the hypothesis that population 1 has a mean that is exactly 2 less than the mean of population 2, we can use a two-sample t-test with unequal variances.

The test statistic for this hypothesis is given by:
t = (x1 - x2 - d) / sqrt[(s1^2/n1) + (s2^2/n2)]
where x1 and x2 are the sample means, s1 and s2 are the respective standard deviations, n1 and n2 are the sample sizes, and d is the hypothesized difference in means (in this case, d = 2).
Substituting the given values, we get:
t = (34.5 - 30 - 2) / sqrt[(5^2/33) + (9^2/42)]
t = 2.5 / 1.747
t = 1.43 (rounded to two decimal places)
Therefore, the test statistic for this hypothesis is 1.43.

You want to test the hypothesis that the mean of population 1 is exactly 2 less than the mean of population 2. Given that sample 1 has a mean of 34.5 and sample 2 has a mean of 30, the respective standard deviations are 5 and 9, and the sample sizes are 33 and 42. To find the test statistic, follow these steps:
1. State the null hypothesis (H0) and the alternative hypothesis (H1):
  H0: μ1 - μ2 = 2
  H1: μ1 - μ2 ≠ 2
2. Calculate the difference in sample means (M1 - M2):
  34.5 - 30 = 4.5
3. Calculate the standard error of the difference in means:
  SE = √[(s1²/n1) + (s2²/n2)] = √[(5²/33) + (9²/42)] = √[(25/33) + (81/42)] ≈ 1.595
4. Calculate the test statistic (t):
  t = (M1 - M2 - D) / SE = (4.5 - 2) / 1.595 ≈ 1.568
The test statistic for this hypothesis test is approximately 1.568.

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Answer:

R6.775

Step-by-step explanation:

Given that :

The transaction fee charged is calculated using the relation :

Transaction fee = R2.50 + 0.95%(amount deposited)

If amount to deposit is R450 ; the bank charge will be:

R2.50 + 0.95%(Amount deposited)

R2.50 + 0.0095(450)

R2.50 + R4.275

R(2.50 + 4.275)

R6.775

The absolute value of change in the predicted value of dependent variable Y is 18.

Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.

Slope = b = -4

Intercept = a = -2.8

So, the equation of the regression line is

y  =  a + bx

y = -2.8 - 4x              ...Equation 1

Now suppose the value of x is changed by adding 4.5

i.e. put x = x + 4.5

So,

y = -2.8 - 4(x + 4.5)

y = -2.8 -4x - 18         ...Equation 2

Comparing 1 and 2 ,

We get the predicted value of dependent variable Y as 18

Therefore The absolute value of change in the predicted value of dependent variable Y is 18

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π/3 = 60° so we will find the trigonometric function for 60°.

Given that θ = π/3, we need to evaluate each trigonometric function,

π/3 = 60°

The trigonometric functions can be evaluated as follows when is equal to π/3:

Sine: The sine of three is three and a half.

Cosine (cos): 1/2 is the cosine of /3.

Tangent: The tangent of /3 is equal to (3/2) / (1/2), which is written as 3.

Cosecant (csc): The sine's reciprocal, or 2/3, is the cosecant of /3.

Secant (sec): The reciprocal of the cosine, which is 2, is the secant of /3.

Cotangent (cot): The reciprocal of the tangent, which is 1/3 or 3/3, is the cotangent of /3.

These are the values of the trigonometric functions at θ = π/3.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

11 cm, 11 cm

Step-by-step explanation:

Let the length and width of the rectangle be x cm and y cm respectively.

Therefore,

Perimeter of rectangle = 44 cm

2(x + y) = 44

x + y = 44/2

x + y = 22...... (1)

Area of rectangle = xy

When length is increased by 4 cm and breadth is increased by 2 cm.

New length = (x + 4) cm

New width = (y + 2) cm

New area of rectangle = original area + 72.. (given)

Therefore,

(x + 4) (y + 2) = xy + 72

xy + 2x + 4y + 8 = xy + 72

2x + 4y = 72 - 8

2x + 4y = 66

2(x + 2y) = 66

x + 2y = 66/2

x + 2y = 33.... (2)

Subtracting equation (1) from equation (2)

x + 2y - (x + y) = 33 - 22

x + 2y - x - y = 11

y = 11

Substituting y = 11 in equation (1)

x + 11 = 22

x = 22 - 11

x = 11

Thus, the dimensions of the rectangle are 11 cm and 11 cm.

Answer:

(-8, 11/2)

Step-by-step explanation:

1. The midpoint between two points can be found by averaging the x-values of both points and the y-values of both points. For example, if you had the points (x, y) and (m, n), then the midpoint would be (\(\frac{x+m}{2}\), \(\frac{y+n}{2}\))

2. Calculate your midpoint. In this specific case your x-value would be (-7+-9)/2 and your y-value would be (8+3)/2, or (-8, 11/2)

The expression given is 30 x [(9 x 2) - (4 + 3)]. In order to find which expression has a value of 1, we must simplify the expression. First, we must solve the parentheses by adding 4 and 3 together, which equals 7, and multiplying 9 and 2 together, which equals 18.

So, the expression now becomes 30 x [18 - 7]. Next, we must solve the brackets by subtracting 7 from 18, which equals 11. So, the expression now becomes 30 x 11. Finally, we must multiply 30 and 11 together to get the final answer, which is 330. Therefore, the given expression does not have a value of 1.
Hello! Let's solve the given expression and check if its value is 1.

Expression: 30 x [(9 x 2) - (4 + 3)]

Step 1: Perform operations within the parentheses first.
9 x 2 = 18
4 + 3 = 7

Step 2: Substitute these values back into the expression.
30 x (18 - 7)

Step 3: Perform subtraction inside the parentheses.
30 x (11)

Step 4: Perform the final multiplication.
30 x 11 = 330

The given expression has a value of 330, not 1.

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Answer:

electricity produced will be 3067202 watt

Step-by-step explanation:

solar panels yields 16.22 Watts per square feet

area of field= 305*620   [area=length*breath]

=189100

electricity produced will be

189100*16.22

=3067202 watt

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Answer:

proofs attached to answer

Step-by-step explanation:

proofs attached to answer

Answer:

Tim has 64 dollars. I did the math and I know I'm right

An expression representing the amount that Jackson spent on cherries more than Tim is 3p - 2p, which is simplified as p.

In mathematics, an expression is an algebraic statement using the mathematical operands without the equation symbol (=).

When two or more expressions are combined with the equal sign, it becomes an equation.

                    Watermelon    Cherries    Pineapple     Total Cost

Jackson               1                      3                                  $6.25

Tim                                              2               1                  $3.15

Let the price in dollars per pound of cherries = p

Jackson's spending on cherries = 3p

Tim's spending on cherries = 2p

The expression representing the amount that Jackson spent on cherries more than Tim = 3p - 2p.

3p - 2p

= p

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