A circle of radius 16 units is divided into 8 congruent slices.

What is the area of each slice?

P
32π square units

2π square units


18π square units
,

9π square units

Answer:

20 years

Step-by-step explanation:

let the present age of father=x

\(\frac{x}{15} =\frac{10}{3} \\x=\frac{10}{3} \times 15=50 \\\)

present age of father=50 years

let after y years ages are in the ratio 2:1

\(\frac{50+y}{15+y} =\frac{2}{1}\)

50+y=2(15+y)

50+y=30+2y

50-30=2y-y

20=y

Answer:

The right answer is 2,403

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

Each adult ticket costs $1. There are two adults, so each of them have to pay $1. So far, the total is $2. Since students are free, we don’t have to worry about the 4 students. The final answer is $2.

I hope this helped and please mark me as brainliest!

Answer:

$2

Step-by-step explanation:

The question stated that the students are free ($0), and adults cost $1 each.

Let's use a for adult, and s for students, and the total cost is represented by x. The equation would be:

1a + 0s = x

a = 2, s = 4

1(2) + 0(4) = x

2 + 0 = x

x = 2

The answer is $2.

For given measurements, the perimeter of the quadrilateral is 30cm.

The length of a quadrilateral's border, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter. As a result, a quadrilateral's perimeter is measured in the same linear units as its sides, such as meters, inches, centimeters, etc.

This may be stated using a straightforward formula. For instance, the formula for a quadrilateral ABCD's perimeter may be written as,

AB + BC + CD + DA = The perimeter

perimeter of the quadrilateral = sum of all sides.

perimeter of the quadrilateral = 1 + 9 + 12 + 8

= 30 cm.  

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If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

Explanation:

Given the expression:

This is the same thing as

evaluating this, we have

Simplifying this, we have

Answer:

8 83/104.

Step-by-step explanation:

4 9/13 * 1 7/8

= 61/13 * 15/8

= 915/104

= 8 83/104.

Answer:

12 to 13

Step-by-step explanation:

Answer:

m∠KLM=160°

Step-by-step explanation:

If m∠KLP is 42°, and m∠PLM is 118°, they add together to be m∠KLM because they're 2 sides of that angle. So 42°+118°=160°.

Answer:

12.9 pounds

Step-by-step explanation:

Answer:

12.9

Step-by-step explanation:

258/20=12.9

(can I get brainliest please)

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

12/18 = 4/6

Step-by-step explanation:

Answer:

Option a.

Step-by-step explanation:

By looking at the options, we can assume that the function y(x) is something like:

\(y = \sqrt{4 + a*x^2}\)

\(y' = (1/2)*\frac{1}{\sqrt{4 + a*x^2} }*(2*a*x) = \frac{a*x}{\sqrt{4 + a*x^2} }\)

such that, y(0) = √4 = 2, as expected.

Now, we want to have:

\(y' = \frac{x*y}{2 + x^2}\)

replacing y' and y we get:

\(\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}\)

Now we can try to solve this for "a".

\(\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}\)

If we multiply both sides by y(x), we get:

\(\frac{a*x}{\sqrt{4 + a*x^2} }*\sqrt{4 + a*x^2} = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}*\sqrt{4 + a*x^2}\)

\(a*x = \frac{x*(4 + a*x^2)}{2 + x^2}\)

We can remove the x factor in both numerators if we divide both sides by x, so we get:

\(a = \frac{4 + a*x^2}{2 + x^2}\)

Now we just need to isolate "a"

\(a*(2 + x^2) = 4 + a*x^2\)

\(2*a + a*x^2 = 4 + a*x^2\)

Now we can subtract a*x^2 in both sides to get:

\(2*a = 4\\a = 4/2 = 2\)

Then the solution is:

\(y = \sqrt{4 + 2*x^2}\)

The correct option is option a.

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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we get that Melissa is trying to solve the expression ( 3 + 4) ² - 9.

We are given that:

Melissa is simplifying an expression using the order of operations which can be addition, subtraction, multiplication or division.

She adds 3 and 4, squares the result, and subtracts 9.

We will first add 3 and 4:

3 + 4

Now we will square them:

( 3 + 4) ²

Now, we will subtract 9 from it:

( 3 + 4) ² - 9

So, the expression becomes:

( 3 + 4) ² - 9

Therefore, we get that Melissa is trying to solve the expression ( 3 + 4) ² - 9.

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Answer:

maybe 1/12 im not sure........???

Answer:

1/12

Step-by-step explanation:

1/6*1/2=1/12

Answer:

he should be 39 y/o

Step-by-step explanation:

you would add the 18 and 5 to get him age now, and then add the 16 years, so his age would be 39. hope this helps

The value of f(x) when x is 3 is 15

A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;

f(x) = 2² + 2(2) + 5

f(x) = 4 +4+5

= 13

This done by substituting the given value of x into the expression.

Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;

f(x) = 5(3)

f(x) = 15

therefore the value of f(x) when x is 3 is 15

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The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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\( \huge\mathbf{Answer࿐}\)

\( \underline{ \underline{ \bf{step} - 1}}\)

Taking first equation,

\( \underline{ \underline{ \bf{step} - 2}}\)

plugging the value of y in second equation,

\( \underline{ \underline{ \bf{step} -3}}\)

plugging the value of x in first equation,

____________________________

\(\mathrm{ \#TeeNForeveR}\)

XPO's minimum tax credit carryover to 2019 is $20,500.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants. An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

XPO's minimum tax credit from 2017 is $51,000. This means that they are allowed to reduce their 2018 tax liability by up to $51,000 using this credit.

Since their 2018 tax liability before any MTC carryover is $30,500, they have not used the entire minimum tax credit for 2017. Therefore, they can carry over the remaining credit to 2019.

To calculate the minimum tax credit carryover to 2019, we need to subtract the amount of the minimum tax credit that XPO used in 2018 from the total minimum tax credit of $51,000:

Minimum tax credit carryover = $51,000 - $30,500 = $20,500

Therefore, XPO's minimum tax credit carryover to 2019 is $20,500.

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Answer:

C

Step-by-step explanation:

32 / 4  = 8

56 / 7 = 8

64 / 8 = 8

The interest for the month is:  $2.59

The balance for the month is: $598.18.

We have the information from the question is:

The interest rate is 1.4% per month.

June 1 Balance $352.12

June 4 Sears $331.89

June 8 eBay $81.58

June 15 Outback $30

June 18 Payment $200

Now, According to the question:

The average daily balance for June is $184.89.

To calculate the interest for the month,

Multiply the average daily balance by the interest rate:

$184.89 × 1.4% = $2.59.

To find the balance for the month :

Add the initial balance, transactions, and interest, then subtract the payment:

$352.12 + $331.89 + $81.58 + $30 + $2.59 - $200 = $598.18.

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Answer:

1. 2

2. 3

3. 6

4. 3

5. 6

6. 3

7. -6

8. -3

9. 3

10. -5

11. 12

12. -18

13. -1

I'm sorry if any of these are wrong I didn't get to check them over.

Step-by-step explanation:

I will be substituting "a number" with the variable x.

1. Four more than twice a number is 8.

2x+4 = 8

2x = 4

x = 2

2. Three more than four times a number is 15.

4x+3 = 15

4x = 12

x = 3

3. Five less than twice a number is 7.

2x-5 = 7

2x = 12

x = 6

4. One less than four times a number is 11.

4x-1 = 11

4x = 12

x = 3

5. Seven more than the quotient of a number and 2 is 10.

(x/2)+7 = 10

(x/2) = 3

x = 6

6. Six less than six times a number is 12.

6x-6 = 12

6x = 18

x = 3

7. Five less than the quotient of a number and 3 is -7.

(x/3)-5 = -7

x/3 = -2

x = -6

8. Seven more than twice a number is 1.

2x+7 = 1

2x = -6

x = -3

9. The difference between 5 times a number and 3 is 12.

5x-3 = 12

5x = 15

x = 3

10. Nine more than 3 times a number is -6.

3x+9 = -6

3x = -15

x = -5

11. Nine more than the quotient of a number and 4 is 12.

(x/4)+9 = 12

x/4 = 3

x = 12

12. Four less than the quotient of a number and 3 is -10.

(x/3)-4 = -10

x/3 = -6

x = -18

13. Nine less than six times a number is -15.

6x-9 = -15

6x = -6

x = -1

Answer:

(29.14 ; 30.06)

Step-by-step explanation:

Given that'

Sample size (n) = 57

Mean (m) = 29.6

Population standard deviation (σ) = 2.7

Confidence interval = 80%

= (1 - 0.8) / 2 = 0.1

Mean ± z * σ/√n

Using the Z probability calculator : Z0. 1 = 1.28

Hence,

29.6 ± 1.28 * (2.7 / √57)

29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)

29.142241664 ; 30.057758336

(29.14 ; 30.06)

Solution:

Given ratio: \(0.45:1.35\)

Multiply both sides by 100:

\(0.45:1.35\)

\(\rightarrow 0.45 \times 100:1.35 \times 100\)

\(\rightarrow 45:135\)

Convert the ratio into a fraction:

\(\rightarrow 45:135 = \dfrac{45}{135}\)

Simplify the fraction:

\(\rightarrow \dfrac{45}{135} = \dfrac{45 \div5}{135 \div 5} =\dfrac{9}{27} = \dfrac{9 \div 9}{27 \div 9} = \dfrac{1}{3}\)

The simplified fraction representing the ratio 0.45 to 1.35 is 1/3.

To express the ratio 0.45 to 1.35 as a simplified fraction, we can divide both numbers by their greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 45 and 135 is 45.

So, divide both numbers by 45:

0.45 ÷ 45 = 0.01

1.35 ÷ 45 = 0.03

The simplified ratio is 0.01 to 0.03. To make it an integer ratio, we can multiply both parts by 100:

0.01 * 100 = 1

0.03 * 100 = 3

So, the simplified fraction representing the ratio 0.45 to 1.35 is 1/3.

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