Find the circumference of each of these circles. (Use 3.14 for pie.)
b. 2 in.
C. 3 cm

Answer: (5x+3)(x−1)

Step-by-step explanation:

Answer: Constant of Proportionality is written in the form y=kx, where k is the Constant of Proportionality. You can solve proportions by turning each ratio into a fraction, setting the fractions equal to each other, and then solving for the missing variable.

Step-by-step explanation:

Step-by-step explanation:

-2m-39=0

-2m=0+39

-m= 39/2

m= -19.5

Answer:

\(7m - 4 - 9m - 35 = 0 \\ 7m - 9m = 35 + 4 \\ - 2m = 39 \\ 2m = - 39 \\ m = \frac{( - 39)}{2} \\ \boxed{m = - 19.5}\)

Answer: 60 rooms

Step-by-step explanation:

because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms

Answer:

Here we go. System of equations:

Step-by-step explanation:

y = 18x + 75

y = 22x + 40

2 equations with 2 unknown,,, x= 35/4, and you will find y= 232.5......then you will have system of linear equation will graph.

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

Here is your answer!

Answer:

\((x - 5)^2 + (y + 2)^2 = 5\)

Step-by-step explanation:

The equation of a circle with a center at (h, k) and radius r is given by:

\(\bold{(x - h)^2 + (y - k)^2 = r^2}\)

In this case, the center is at (5, -2) and the point that the circle passes through is (4, 0).

The distance between the center and the point is:

\(\sqrt{(5 - 4)^2 + ((-2) - 0)^2} = \sqrt{1 + 4} = \sqrt{5}\)

Therefore, the equation of the circle is:

\((x - 5)^2 + (y + 2)^2 = \sqrt{5}^2\)

Simplifying the equation, we get:

\(\bold{(x - 5)^2 + (y + 2)^2 = 5}\) is a required equation

Answer:

BCA is obtuse

Step-by-step explanation:

BCA = 98 degrees

greater than 0 to less than 90 is acute angles

90 - right angle

greater than 90 to less than 180 is obtuse

98 is obtuse

The number written on the board will be negative 27. This can be solved by using the concept of algebra.

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Let x be the number.

There is a number written on the board. One student increased the number by 23. Then the first number will be

⇒ x + 23

But another student decreased the same number by 1. Then the second number will be

⇒ x - 1

The first student's result was 7 times greater than the result of the second student.

7 first number = second number

or, 7(x + 23) = x - 1

or, 7x + 161 = x - 1

or, 6x = - 162

or, x = - 27

The number written on the board will be negative 27.

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Answer:

mean of the sample μ₁ = $0.27

Standard deviation of the sample σ₁ = $0.83

Step-by-step explanation:

Step(i):-

given mean of the population 'μ' = $19.67

Mean of the sample

                            \(= \frac{mean}{n} = \frac{19.67}{72} = 0.27\)

Mean of the sample  μ₁ = 0.27

Step(ii):-

Given standard deviation of the  population  (σ) =  $7.02

Standard deviation of sample

                             \(= \frac{mean}{\sqrt{n} } = \frac{7.02}{\sqrt{72} } = 0.827\)

Standard deviation of sample = 0.827≅ 0.83

Final answer:-

mean of the sample μ₁ = $0.27

Standard deviation of the sample σ₁ = $0.83

Answer:

810 is the number that represents the same amount.

Hope this helps :)

1.  The new volume will be 60 cubic feet. 2. Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

In general, volume refers to the amount of space occupied by an object or substance, measured in three dimensions: length, width, and height. It is a physical quantity that is typically expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

1. The volume of the cuboid is calculated as follows:

Volume = length x width x height

Volume = 5 ft x 3 ft x 2 ft

Volume = 30 cubic feet

If we double the height, the new height will be 2 x 2 ft = 4 ft. The new volume can be calculated as:

New Volume = length x width x new height

New Volume = 5 ft x 3 ft x 4 ft

New Volume = 60 cubic feet

Therefore, the new volume will be 60 cubic feet.

2. Step 1: Determine how many dog beds Molly can make with the fabric she bought.

Molly bought 12.5 yards of fabric, and she uses 2.5 yards of fabric for each dog bed. We can use division to find how many dog beds she can make:

12.5 yards / 2.5 yards per dog bed = 5 dog beds

Therefore, Molly can make 5 dog beds with the fabric she bought.

Step 2: Calculate the cost of the fabric for each dog bed.

Molly bought the fabric for $4.50 per yard, and she uses 2.5 yards of fabric for each dog bed. Therefore, the cost of the fabric for each dog bed is:

$4.50 per yard x 2.5 yards per dog bed = $11.25 per dog bed

Step 3: Calculate the revenue from selling one dog bed.

Molly sells each dog bed for $17.50.

Step 4: Calculate the profit from selling one dog bed.

Profit = revenue - cost

Profit = $17.50 - $11.25

Profit = $6.25

Step 5: Calculate the total revenue from selling all of the dog beds.

Molly can make 5 dog beds, and each dog bed sells for $17.50. Therefore, the total revenue is:

5 dog beds x $17.50 per dog bed = $87.50

Step 6: Calculate the total cost of the fabric for all of the dog beds.

Molly uses 2.5 yards of fabric for each dog bed, and she can make 5 dog beds. Therefore, the total cost of the fabric is:

2.5 yards per dog bed x 5 dog beds = 12.5 yards

$4.50 per yard x 12.5 yards = $56.25

Step 7: Calculate the total profit from selling all of the dog beds.

Profit = revenue - cost

Profit = $87.50 - $56.25

Profit = $31.25

Therefore, Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

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Answer:

no

Step-by-step explanation:

bc im better

Answer:

6 divided 17 is equivalent to 6/17

The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

A division is a process of splitting a specific amount into equal parts.

We have to find 3x³-2x²+7x+9 divided by x²-3x

3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.

The steps to solve this are given below.

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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12 dolars / 20 dolars

the percentage is

(20-12) / 20

= 8/20

= 40 %

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

The equation that is false is (a) \((x^\frac{3}{2})^2 = \sqrt[4]{x^3}\)

from the question, we have the following parameters that can be used in our computation:

The equations

Next, we evaluate each equation

So, we have

(a)

\((x^\frac{3}{2})^2 = \sqrt[4]{x^3}\)

Open the brackets

So, we have

\(x^3 = \sqrt[4]{x^3}\)

The above equation is false, except when x = 0

Hence, the equation that is false is (a) \((x^\frac{3}{2})^2 = \sqrt[4]{x^3}\)

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Answer: 234 are sophomores

Step-by-step explanation:

You would take 26% of 900 to get 234

It's simple, don't overthink it :)

Have a nice day.

Step-by-step explanation:

Sophomores are 26 % of 900 students

26 %  * 900 = the number of sophomores

26% * 900 =  .26 * 900 = 234 sophomores

Answer:

Common difference is 4

Step-by-step explanation:

25 , 29, 33,37,41

Answer: yes it is a arithmetic sequence  4 is the common difference

Step-by-step explanation: hope it helps

Answer:

I think it's b. when you have a negative and a negative it becomes a positive

Answer:

The chance that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses is P=0.0488.

Step-by-step explanation:

To solve this problem we divide the tossing in two: the first 5 tosses and the last 5 tosses.

Both heads and tails have an individual probability p=0.5.

Then, both group of five tosses have the same binomial distribution: n=5, p=0.5.

The probability that k heads are in the sample is:

\(P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{5}{k}\cdot0.5^k\cdot0.5^{5-k}\)

Then, the probability that exactly 2 heads are among the first five tosses can be calculated as:

\(P(x=2)=\dbinom{5}{2}\cdot0.5^{2}\cdot0.5^{3}=10\cdot0.25\cdot0.125=0.3125\\\\\\\)

For the last five tosses, the probability that are exactly 4 heads is:

\(P(x=4)=\dbinom{5}{4}\cdot0.5^{4}\cdot0.5^{1}=5\cdot0.0625\cdot0.5=0.1563\\\\\\\)

Then, the probability that there will be exactly 2 heads among the first five tosses and exactly 4 heads among the last 5 tosses can be calculated multypling the probabilities of these two independent events:

\(P(H_1=2;H_2=4)=P(H_1=2)\cdot P(H_2=4)=0.3125\cdot0.1563=0.0488\)

The correct option of system of equations that can be used to find the temperature at which the degrees Celsius and the degrees Fahrenheit would be equivalent is the option;

5·F - 9·C = 160

F - C = 0

A system of equation, is a set of equation that have common variables.

The equation for conversion of the temperature in degrees Celsius to the temperature in degrees Fahrenheit is; 9·C = 5·F - 160

When the temperature in degrees Celsius is equivalent to the temperature in degrees Fahrenheit, we get;

F = C

Therefore;

F - C = 0

Similarly, from the specified equation, we get;

9·C = 5·F - 160

5·F - 9·C = 160

The system of equation that would give the temperature where the degrees Celsius and degrees Fahrenheit are equivalent is therefore;

5·F - 9·C = 160

F - C = 0

(Which yields a temperature of 40°)

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Answer:

20 m

Step-by-step explanation:

For the perimeter, add all the sides together:

4 + 6 + 3 + 5 + 2 = 20 m

Answer:

Step-by-step explanation: Perimeter of  figure is = sum of all sides

                                                                                    = 6m+3m+5m+2m+4m

                                                                                   = 9m+7m+4m

                                                                                    = 16m+4m

                                                                                    = 20m

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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Answer:

19

Step-by-step explanation:

literally if this is wrong i swear

Answer:

19

Step-by-step explanation:

Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation: