what is the area of a circle with a radius of 1 foot
1/4 pi ft square
1/2 pi ft square
pi ft square
2 pi ft square​

In the given word problem the Gunnar's car can travel 399.17 miles travel using 17.82 gallon of gas.

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Gunnar's car travel using per gallon of gas = 22.4 miles.

According to the given question,

Gunnar's car can hold 17.82 gallons of gas. Then number of miles does Gunnar's car can travel is ,

=> 22.4 × Car's total tank has hold

=> 22.4 × 17.82

=> 399.17 miles

Hence the Gunnar's car can travel 399.17 miles travel using 17.82 gallon of gas.

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Answer:

where's the question?

Step-by-step explanation:

I don't see a question.

Answer:

are we supposed to solve this???

Answer:

18x^5y^4+27y^8−8x^7−12x^2y^4

Step-by-step explanation:

(2x^5+3y^4)(−4x^2+9y^4)

=(2x^5+3y^4)(−4x^2+9y^4)

=(2x^5)(−4x^2)+(2x^5)(9y^4)+(3y^4)(−4x^2)+(3y^4)(9y^4)

=−8x^7+18x^5y^4−12x^2y^4+27y^8

=18x^5y^4+27y^8−8x^7−12x^2y^4

Daily Wages      Frequency

150                            2    

200                           4

250                            4

300                            4

350                            2

400                            2

The range of the wage is 250.

A frequency table is a table that arranges a data in ascending order and it shows the number of time a value appears in a dataset. In order to determine the frequency of a number, count the number of times the number appears in the dataset.

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

400 - 150 = 250

Here is the complete question:

The daily wages of 18 workers in a factory are the following :

200, 250, 300, 150, 400, 350, 200, 250, 300, 150, 300, 400, 200, 250, 300, 350, 200, 250

Prepare a frequency distribution table and find the range of wage

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The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

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You are located 12.00 m north and 5.00 m east of the center of town. Using Pythagorean theorem, your distance from the center of town is 13.00 m, and your angle is 157.38 degrees.

We can use the Pythagorean theorem to find the distance (d) of your location from the center of town:

d = sqrt((12.00 m)^2 + (-5.00 m)^2)

d = sqrt(144.00 m^2 + 25.00 m^2)

d = sqrt(169.00 m^2)

d = 13.00 m

Therefore, you are 13.00 meters away from the center of town.

To find the angle (theta) between the line connecting your location to the center of town and the positive x-axis, we can use the inverse tangent function (tan^-1) as follows:

theta = tan^-1(opp/adj)

theta = tan^-1((-5.00 m)/(12.00 m))

theta = -22.62 degrees

However, since your location is in the second quadrant (negative x and positive y), the angle must be measured from the positive y-axis, not the positive x-axis. Therefore, the actual angle between the line connecting your location to the center of town and the positive y-axis is:

theta = 180 degrees - 22.62 degrees

theta = 157.38 degrees

Therefore, you are 13.00 meters away from the center of town, at an angle of 157.38 degrees from the positive y-axis.

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Answer:

the answer is A

\(x + 7 > 3\)

Answer:

it’s between 7 and 8

Step-by-step explanation:

if that doesn’t help sorry I tried

The perimeter first figure that is made of a square and equilateral triangle is 52 cm.

What exactly are squares?

A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.

A square's most significant qualities are

The diagonal of a square is divided into two isosceles triangles.

Square area=(side)²

Square perimeter=4*side

Now,

For first figure given that

sides of square are 14 cm in length

and length of side of equilateral triangle are=5 cm

but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.

So, perimeter=3*14+2*5

=42+10

=52 cm

hence,

         The perimeter first figure 52 cm.

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16, 23, 30, 37, 44

We can note from the sequence that every number is the previous one plus 7, then the recursive formula will be.

for all n greater or equal that 2 because the first term a1=16. Now let's deduce the explicit formula

at this point we can see the pattern, for the nth term, you add to the first term 7 multipied by (n-1), then the explicit formula is

simplifying

Answer:

6 Miles Per day

Step-by-step explanation:

( if thats what your asking )

54 divided by 9 would be 6, so he would have ran 6 miles per day.

^O^

Answer:

-2-24i

Step-by-step explanation:

=(x+7+5)+(y-3+9+13)i=10-5i

x+12=10, then x=-2

y+19=-5, then y=-24

Answer:

f(x)=4x^2= horizontal compression by factor of 4

f(x)=x^2-4= vertical translation down 4 units

f(x)=4x^2= vertical compression by factor of 4

f(x)=(x-4)^2= horizontal shift to right 4 units

Step-by-step explanation:

hope it helped

I'm pretty sure that the answer is a

Answer:

I believe it is D

Step-by-step explanation:

Answer:

four tablespoons to make 6 cups of popcorn.

Step-by-step explanation:

1.5 is nine Equals 2.25 x. And then divide both sides by 2.25. That gives you four tablespoons to make 6 cups of popcorn.

Step-by-step explanation:

Bring like terms together

Answer:

Step-by-step explanation:

According to question

    \(4ax^{2} +9x+c < 0\)

This means that the coefficient of the highest degree term

(\(4ax^{2}\)) must be positive

And the constant term (c) must be negative

So, the according to condition

   4a must be positive,

    which means a must be positive

And, c must be negative

          \(a > 0\\c < 0\)

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If the jar of olives had a circumference of 11. 99 cm, the approximate diameter of the jar is 3.82 cm

The circumference of a circle is given by the formula C = 2πr, where C is the circumference, π is the constant pi (approximately equal to 3.14), and r is the radius. The diameter is twice the radius, so we can also write the formula as C = πd, where d is the diameter.

In this case, the circumference is 11.99 cm, so we can set up the equation

11.99 = πd

To solve for d, we can divide both sides by π

d = 11.99/π

Using a calculator, we get

d ≈ 3.82 cm

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Answer:

1.445 × 10^3

Step-by-step explanation:

(1.7 × 10^4) × (8.5 x 10^-2)

Multiply the numbers at the front and add the powers using the indice laws.

1.7 × 8.5 = 14.45

10^4 x 10^-2 = 10^2

14.45 x 10^2

Written in standard form: 1.445 x 10^3

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

x = 173

Step-by-step explanation:

Equation:

40 + 76 + 71 + x = 360

187 + x = 360

take away 187 from both sides

x = 173

Answer:

R = \(\frac{NP+C}{N}\)

Step-by-step explanation:

Given

P = R - \(\frac{C}{N}\) ( multiply through by N to clear the fraction )

NP = NR - C ( add C to both sides )

NP + C = NR ( divide both sides by N )

\(\frac{NP+C}{N}\)

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

the answer would be 2.70 dollars I hope this helps you :)

Step-by-step explanation:

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

In 100 million years, the seafloor spreading zone will create 10 million square kilometers of new surface area.


The seafloor spreading zone creates 1 centimeter of new crust over its entire 1000 kilometers length every year. To calculate the surface area created, we need to multiply the length of the zone by the amount of new crust created each year.

First, we convert the length from kilometers to centimeters: 1000 kilometers = 100,000,000 centimeters.
Then, we multiply the length by the amount of new crust created each year: 100,000,000 cm * 1 cm = 100,000,000 square centimeters.

Finally, we convert square centimeters to square kilometers: 100,000,000 cm^2 = 10,000 km^2. Therefore, in 100 million years, the seafloor spreading zone will create 10,000 square kilometers of new surface area.

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Hello! :)

Answer:

2,106

Step-by-step explanation:

So let’s see the work:

234x9

First let’s break up 234

Into ones, tens and hundreds.

234

X 9

_____

So we do 4x9=36, we put the 6 in the ones place and have 3 left over

Now do 9x3=27 but...we have to add the 3 which was left over from before

27+3=30, put the zero in the tens place and we have left over 3

9x2=18 now remember to add the 3 from the 30. 18+3=21, put 21 at the hundreds place

So the answer is 2,106

Hope this helps! :)

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The length of side DE is 3cm

Since the line AC is equivalent to DE, hence AC = DE

To get the length of DE, we will need to get the length oF AC using the Pythagoras theorem:

Given the following parameters

Hypotenuse = 5

Opposite = 4

Required

Adjacent side

Substitute the given parameters into the formula of Pythagoras theorem.

AC² = 5² - 4²

AC² = 25 - 16

AC² = 9

AC = 3

Hence the length of side DE is 3cm

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