A circle has a radius of 30 feet. Which of the following is closest to its area?

a) 50 ft squared
b) 100 ft squared
c) 190 ft squared
d) 705 ft squared
e) 2,850 ft squared

b ) The absolute value od a negative number is positive

The absolute value of |-$250| = $250

Chelsea paid the electric company $250

c) The absolute value of |-54| = 54

The temperature -54 degrees fahrenheit is 54 degree fahrenheit

d) The distance between Adelphi and Sterling is 34.3 miles

Answer:

Step-by-step explanation:

\(\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}\)

Answer:

slope = \(\frac{5}{3}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5,  15 )

m = \(\frac{15-10}{5-2}\) = \(\frac{5}{3}\)

Answer:

Step-by-step explanation:

Answer:Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

Step-by-step explanation:

check the slope of both points

(-6,11.5) to (2, 9.5)  

11.5-9.5= 2

-6-2=-8

2/-8

m=-1/4

(-1, -2.5) to (2,9.5)

-2.5=9.5=-12

-1-2=3

-12/-3

m=4

Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

This may be incorrect, so sorry if it is! The answer I got is 2760y.

The answer of the question based on percentage is  

Time (minutes) Percentage

  91                              70%

  13                              10%

 130                      100%

Algebra is  branch of mathematics that deals with mathematical symbols and rules for manipulating these symbols. It involves use of variables and symbols to represent quantities and use of equations and formulas to solve problems involving these quantities.

To complete the table, we can use the information given in the problem and some basic algebra.

Let's start by finding the total amount of study time, which we can represent with the variable "t". We know that Elizabeth spent 91 minutes, which was 70% of her study time. Using this information, we can write an equation:

0.7t = 91

To solve for t, we can divide both sides of the equation by 0.7:

t = 130

So Elizabeth's total study time was 130 minutes.

Now we can use this information to fill in the table:

Time (minutes) Percentage

91                              70%

13                              10%

130                             100%

To find the time corresponding to a different percentage, we can use proportions.

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Answer:

$2.90

Step-by-step explanation:

87 cents / 3 packs = 29 cents per pack

$0.29 × 10 = $2.90

Answer:

√10 = 3.162

Step-by-step explanation:

The square-root of 10 is;

√10 = 3.162

A number divided by 5 has its last digit as 0 or 5

In this case 25/5 = 5   and the √25 = 5

Answer:

Step-by-step explanation:

The coordinate point of intersection on the graph will be at (1.5, 4.5)

Given the equations Dimitri wrote expressd as:

y = 3x

y = x + 3

Since they are both y-values, we can equate the right hand side to have:

3x = x + 3

3x - x = 3

2x = 3

x = 3/2

x = 1.5

Get the value of y:

y = 3x

y = 3(1.5

y = 4.5

Answer:

I don't know this problem or the answer

Congruent triangle - The value of x = 66.

What is congruent triangle?

Triangles that have exactly the same size and shape are called congruent triangles. The symbol for congruent is ≅. Two triangles are congruent when the three sides and the three angles of one triangle have the same measurements as three sides and three angles of another triangle.

Here, the given triangles are congruent.

Here,

sides are given equal, the line forming angle is same and angle is also same, hence,

x = 66

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The minimum number of swaps required to flip the list is 2.

Array : Generally, in the field of applied sciences, knowledge structures called arrays and typically regarded as just arrays, each containing at least one array-index award or key. Arrays are stored so that formulas can use each component's index tuple to determine the placement of that component within the array.

Given an array with values 5, 10, 15, 20,25

swap reverses the array:

25, 10, 15, 20, 5

25, 20, 15, 10, 5

So, for reversing the number of swaps required list is 2 ..

This may be the smallest variation possible.

Hence, the minimum exchange required to achieve list reversal is two.

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Answer:

7 pepperoni pizzas

Step-by-step explanation:

First, you take the biggest number and subtract it by 9.5 until you get a number that can be divided into 11 which is 77.

Answer:

7 pepperoni pizzas

Step-by-step explanation:

Where p = # of pepperoni pizzas and m = # of mushroom pizzas

124.50 = 11p + 9.5m

Now you need to guess and check:

Use this equation: (124.5 - 11 * p) / 9.5 and replace p with whole numbers until you get a whole number as the output

I got p=7 and m=5

So she bought 7 pepperoni pizzas

The inequality that can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is 240 + 310 + 320 + x ≥ 4 (280).

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.

For the next four weeks, Jaime wants to log at least 280 miles per week on average. Jamie's objective can be graphically expressed by the inequality: T4, or alternatively T 4 if T is the total number of miles he will pedal his bicycle for four weeks (280).

The sum of the distances Jamie has covered and has yet to cover is the total number of miles Jamie will cycle during this time. Hence,  T = 240 + 310 + 320 + x. Replacing this term into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.

Thus, the correct answer is  240 + 310 + 320 + x ≥ 4 (280).

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The value of the expression (6¾) × -11.5 is; -77⅝

We want to find the value of;

(6¾) × -11.5

Let us change 6¾ to improper fraction to get;

27/4

Also,let's change -11.5 to an improper fraction to get; -115/10

Thus;

(6¾) × -11.5 = 27/4 × -115/10

>> (-115 × 27)/(40)

>> 3105/40

>> -77⅝

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The person should pay $7,671.27 to pay off the remaining amount of the loan.

To calculate the remaining amount of the loan after the person has made three payments, we first need to find the equal payment amount.

The loan amount is $15,000, and it is to be paid off in equal payments over a 10-year period. Since the interest rate is 10% compounded annually, we can use the formula for the present value of an ordinary annuity to find the equal payment amount.

The formula for the present value of an ordinary annuity is:

PV = P * [(1 - (1 + r)^(-n)) / r]

Where PV is the present value (loan amount), P is the equal payment amount, r is the interest rate per period, and n is the number of periods.

Let's plug in the given values:

PV = $15,000

r = 10% = 0.1

n = 10 years

We want to find the equal payment amount (P).

$15,000 = P * [(1 - (1 + 0.1)^(-10)) / 0.1]

Simplifying the equation:

$15,000 = P * [(1 - 1.1^(-10)) / 0.1]

$15,000 = P * [(1 - 0.386) / 0.1]

$15,000 = P * [0.614 / 0.1]

$15,000 = P * 6.14

Dividing both sides of the equation by 6.14:

P = $15,000 / 6.14

P ≈ $2,442.91

So, the equal payment amount is approximately $2,442.91.

Since the person has made three payments, we can subtract three times the equal payment amount from the original loan amount to find the remaining balance:

Remaining balance = $15,000 - (3 * $2,442.91)

Remaining balance = $15,000 - $7,328.73

Remaining balance ≈ $7,671.27

Therefore, the person should pay approximately $7,671.27 to pay off the remaining amount of the loan after making the third payment.

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Step-by-step explanation:

at x=-2

n(-2) = −1 − (-2) + 4 = -1+2+4=5

at x=0

n(0) = −1 − 0 + 4 = 3

at x=5

n(5) = −1 − 5 + 4 = -2

The correct expression for e (spring extension) is \(e=l_{1}+2Lcos\)θ.

To determine the correct expression for e, we need to understand the variables involved and their relationships.

Let's analyze the given expressions one by one:

\(e-2Lcos\)θ\(-l_{1}\):

This expression does not accurately represent the spring extension because the subtraction of \(l_{1}\) is incorrect. The correct relationship is that the spring extension is equal to \(2Lcos\)θ.

\(e-2Lsin0-L_{o}\):

This expression introduces variables \(O\) and \(L_{0}\) that are not mentioned or defined in the context of the problem. Without proper context or definition, it is not possible to determine the correctness of this expression.

\(e-l_{1} -2Lcos\)θ

This expression has the correct terms, but the subtraction of \(l_{1}\) is incorrect. The correct relationship is that the spring extension is equal to \(l_{1}\) plus the term \(2Lcos\)θ,  not minus.

\(e-h-2Lsin0\)

that are not mentioned or defined in the context of the problem. Without proper context or definition, it is not possible to determine the correctness of this expression.

Similar to expression 2, this expression introduces variables \(h\) and \(O\) that are not mentioned or defined in the context of the problem. Without proper context or definition, it is not possible to determine the correctness of this expression.

Among the four given expressions, the correct expression for e (spring extension) is \(e=l_{1}+2Lcos\)θ. This expression accurately represents the relationship between the spring extension \(e\), the arm length \(L\), and the angle θ.

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Answer:

(x-6)

Step-by-step explanation:

There are many ways to divide this, one of them is done below.

(x^2-11x+30)/(x-5)

Factorize (x^2-11x+30),

(x^2-6x-5x+30)
(x(x-6)-5(x-6))
(x-5)(x-6)

We have,

(x^2-11x+30)/(x-5)
(x-5)(x-6)/(x-5)

(x-5) cancel each other,

(x-6)

You can also use synthetic division, traditional division or other methods of division.

There are 24 adult-sized shirts in the Order.

The number of adult-sized shirts in the order, we need to calculate two-fifths of the total number of shirts and subtract it from the total.

Given that the order consists of 40 shirts and two-fifths of the shirts are children-sized, we can calculate the number of children-sized shirts as follows:

Children-sized shirts = (2/5) * 40

                    = (2/5) * 40

                    = 16

Since the remaining shirts are adult-sized, we can find the number of adult-sized shirts by subtracting the number of children-sized shirts from the total number of shirts:

Adult-sized shirts = Total shirts - Children-sized shirts

                 = 40 - 16

                 = 24

Therefore, there are 24 adult-sized shirts in the order.

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The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.

Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35

So, this geometric sequence is 5 ; 35 ; 245 and so on.

-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)

Answer:

7

Step-by-step explanation:

Given:

Let the second term be "x".

⇒ 5, x, 245...

Thus, the following equations:

To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.

⇒ [5 × (something)] = x

⇒ [5 × (something)]/5 = x/5

⇒ (something) = x/5

⇒ x × (something) = 245

⇒ [x × (something)]/x = 245/x

⇒ (something) = 245/x

Now, let's compare both the results of (something).

⇒ x/5 = 245/x

⇒ x² = 5 x 245

⇒ x² = 1225

⇒ x = √1225 = 35

Substitute the second term into the sequence.

⇒ 5, x, 245 = 5, 35, 245

Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.

Answer:

58 11/12

Step-by-step explanation:

Add up each item within the suitcase + the suitcase after taking out the items to find the weight of the suitcase at the beginning.

30 + 7 1/4 + 21 2/3

Convert the fractions to have a common denominator

30 + 7 3/12 + 21 8/12

Add these up to get 58 11/12.

Answer:

you see it say M ok best of luck

Answer:

-3x(7x+8)

Step-by-step explanation:

-3x^2-18x^2-24x

-3x(x+6x+8)

-3x(7x+8)

The rules used here are

The first rule mentioned has us multiply the exponents b and 4 to get 4b. Then use the second rule to turn 1/(y^24) into y^(-24). So we can see that 4b = -24 leads to b = -6 after dividing both sides by 4.

Answer:

0 it went minus 2 minus 3 minus and so forth

The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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(a)  The future value of the investment if interest is compounded semiannually is $24,840.28.

(b) The future value of the investment if interest is compounded quarterly is $25,025.68.

(c) The future value of the investment is $185.40 greater when the interest is compounded quarterly.

The future value of an investment can be calculated using the formula FV = P(1 + r/n)^(nt), where FV is the future value, P is the principal amount deposited, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the investment is held.

If the interest is compounded semiannually, then n = 2. Plugging in the given values, we get:

FV = 18000(1 + 0.04/2)^(2*9)

FV = 18000(1.02)^18

FV = $24,840.28

So the future value of the investment if interest is compounded semiannually is $24,840.28.

If the interest is compounded quarterly, then n = 4. Plugging in the given values, we get:

FV = 18000(1 + 0.04/4)^(4*9)

FV = 18000(1.01)^36

FV = $25,025.68

So the future value of the investment if interest is compounded quarterly is $25,025.68.

To find out how much greater the future value of the investment is when the interest is compounded quarterly, we can subtract the future value when interest is compounded semiannually from the future value when interest is compounded quarterly:

$25,025.68 - $24,840.28 = $185.40

So the future value of the investment is $185.40 greater when the interest is compounded quarterly.

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Answer: 6

Step-by-step explanation: n-3x6-6=6

Answer:

Due to having 24 divisors.

Step-by-step explanation:

360 has many factors which might be the reason it was chosen for the number of degrees in a full turn. There are total 24 divisors of 360 number which make it the highest factors among all numbers. All circles are divided into 360 even parts so that the Sun would move through 1 part each day. Each of these parts was describes 1 degree and this division give us the idea that a circle contains 360 degrees so we can say that this is the reason that 360 is chosen in degrees.

Answer:

-2 + 4i

Step-by-step explanation:

Step 1: Write expression

(2 + 3i) + (-4 + i)

Step 2: Combine like terms

-2 + 4i