The circumference of a great circle of a sphere is 44π. Find the Surface Area of the sphere.

Answer:

$4.32

Step-by-step explanation:

We want to write a proportion to solve

50 lbs            8 lbs

-----------    = --------- -----

27 dollars       x dollars

Using cross products

50x = 8*27

50x=216

Divide each side by 50

50x/50 = 216/50

x=4.32

Answer:

$4.32

Step-by-step explanation:

Make a proportion using this setup:

pounds/cost=pounds/cost

A 50 pound bag costs $27, and a 8 pound bag costs $x

50 lb/$27=8 lb/$x

50/27=8/x

Cross multiply

50*x=27*8

50x=216

We want to find what a 8 pound bag, will cost (x). To do this, we need to get x by itself.

Since x and 50 are being multiplied, divide both sides by 50

50x/50=216/50

x=216/50

x=4.32

A 8 pound bag of flour will cost $4.32

Answer:

11/6

Step-by-step explanation:

The blade covers an area of 235.714 square inches in one swipe.

In this question, we are to calculate the area that is covered by blade cover of the windshield wiper blade in 1 swipe.

To calculate this, we shall be using the formula for the area of the sector. The sector in this case subtends an angle of 120 degrees at the centre.

Mathematically, the area covered by the blade in one swipe is

A = θ/360 * pi * r^2

where θ = 120 degrees and r = 15 inch

A = 120/360 * 22/7 * 15^2

= 1/3 * 22/7 * 225 = 22 * 75/7 = 235.714 square inches

Answer:

{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4

Step-by-step explanation:

Given the quadratic function

we have to find the leading coefficient of given quadratic equation.

The coefficient of x2 i.e a is known as the leading coefficient.

Comparing given equation with the standard equation, we get

a=-2

The outliers are 1, 6 and 9 while the mean is 3.5 and the range is 8

1) From the given dot plot, we can say that the outliers are 1, 6 and 9. This is because these numbers are far away from the general  number of people in each household.

2) The mean is;

[(1 * 1) + (2 * 4) + (5 * 3) + (4 * 4) + (5 * 4) + (1 * 9)]/20 = 3.5

3) The range is the difference between the highest number and the lowest number. Thus;

Range = 9 - 1

Range = 8

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The area of triangle ABC, with sides of 8 km and 5 km and an internal angle of 150 degrees, is calculated using the formula for the area of a non-right triangle. The result is 10 km².

The subject of this question is Mathematics, specifically Geometry dealing with calculation of area of a triangle using the properties of a non-right triangle.

The area of the triangle ABC can be calculated using the formula 0.5 * a * b * sin(C), where C is the angle between sides a and b.

Here, a is the length from A to B, which is 8 km; b is the length from B to C, which is 5 km; and the angle C (angle ABC) is 150°.

Plug these values into the formula: 0.5*8km*5km*sin(150°) which equals to 10 km².

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Answer:

Step-by-step explanation:

P = $ 275

r = 8% = 8/100

t = 16 years

[tex]I=275*\frac{8}{100}*16\\\\I=\frac{35200}{100}\\I=352[/tex]

I =$352

Answer:

352

Explaning:

Lamonting

Answer:

Effective annual yield = 0.05094534 or 5.094%

Step-by-step explanation:

Given:

Rate of interest (r) = 5% = 0.05

Interest = compounded quarterly

Find:

Effective annual yield = Y

Computation:

[tex]Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\[/tex]

Effective annual yield = 0.05094534 or 5.094%

The effective annual yield of a 5% interest rate compounded quarterly is calculated to be approximately 5.1%.

To find the effective annual yield of a passbook savings account with a rate of 5% compounded quarterly, follow these steps:

Identify the nominal interest rate and the compounding periods per year:

Nominal rate (r ): 5% or 0.05,

Compounding periods (n ): 4 (quarterly).

Use the formula for effective annual yield (A):

A = (1 + r/n)ⁿ - 1

Plug the numbers into the formula:

A = (1 + 0.05/4)⁴ - 1

Calculate inside the parentheses first:

1 + 0.05/4 = 1.0125

Raise the result to the power of 4:

(1.0125)⁴ ≈ 1.05095

Subtract 1 to get the effective annual yield:

1.05095 - 1 ≈ 0.05095 or 5.095%

Therefore, the effective annual yield is approximately 5.1%, rounded to the nearest tenth of %.

Complete question:

A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly. The effective annual yield is %. (Round to the nearest tenth as needed.)

Known :

Sa = 28.26 ft

Asked :

d = ...?

Answer :

Sa = 4πr²

28.26 = 4 × 3.14 × r²

28.26 = 12.56 r²

r² = 28.26 ÷ 12.56

r² = 2.25

r = √2.25

r = 1.5 ft

diameter = 2 × radius = 2 × 1.5 = 3 ft

So, the diameter is 3 ft (2nd choice)

Hope it helpful and useful :)

Step-by-step explanation:

SA = 4 [tex]\pi[/tex]

28.26 = 4 × 22/7 × r²

r³ = 28.26 × 7/88

r² = 2.25 ft²

r = 1.5 ft

Diameter = 2 × r = 3 ft

Answer:

23/137

Step-by-step explanation:

im guessing i hope u get it right.

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

just did it on Edge

Answer:

the answer is 9%

Step-by-step explanation:

i looked it up

9% percent of Team B’s mean absolute deviation is the difference in the means.

the sum of all values divided by the total number of values is known as the mean.

the average distance between each data point and the mean.

or

mean absolute is a measure of variability that indicates the average distance between each observation and the mean.

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Answer:

36in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a square based pyramid.

Step one

The formula for the volume of a square based pyramid is

V=a²h/3

Where a = side of base

h= height

Given data

Volume = 108in³

Height h= 8 in

We can solve for the base a by substituting our data

108= a²* 8/3

a²= (108*3)/8

a²= 40.5

a= √40.5

a= 6.36in

To the nearest whole number

a= 6in

The area of the square based = 6*6

= 36in²

Answer:

D. 36

Step-by-step explanation: stay calm and smile

Answer:

slope = 1

Step-by-step explanation:

(3,0)   ; (0, -3)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-0}{0-3}\\\\=\frac{-3}{-3}\\\\=1[/tex]

Answer:

C

Step-by-step explanation:

Answer: The two answers are 1.08T and (1 + [tex]\frac{8}{100}[/tex] )T.

Step-by-step explanation:

Try multiplying 1.08 times any random number. If you use 5,  1.08 times 5 gives you 5.4.  This makes sense. Solve the other other expression as well and substitute T with the SAME number that you used before (5). Hope that helps!

Answer:

2x+2y=128

Step-by-step explanation:

multiply X by 2 then by 7 + 2 multiply by y and7 after getting whole numbers minus from 132 and add

Answer:

221

Step-by-step explanation:

Find attached to the question, a hand drawn diagram of the circle.

Complete Question

Circle O has radius 3. Points M and N lie on circle O, and mMON is 58

degrees. What is the length of arc MN in radians?

Answer:

The length of arc MN in radians is 3.03687 radians.

Step-by-step explanation:

The formula for arc length =

s = rѲ

Where = = Arc length

r = radius

Ѳ = central angle in degree

In the question we were given the following values

r = radius = 3 units

Ѳ = central angle in degree = 58°

We were told to calculate arc length in radians

Therefore, we would convert 58° to radians using the formula

Degree ×  π/180

= 58 ×  π /180

= 1.012 radians.

Therefore, Arc length in radians =

S = rѲ

S = 3 × 1.0122909662 radians

= 3.0368728985 radians.

Approximately = 3.03687 radians.

Therefore, the length of arc MN in radians is 3.03687 radians.

On the seventh day, following the pattern of doubling the increment from the previous day, the biker would bike 16.6 miles.

To determine how many miles will be biked on the seventh day, we need to recognize the pattern in the distances biked each day. Starting with the first day and continuing through the fourth day, we see increases of 0.2 miles, 0.4 miles, and 0.8 miles respectively. It seems that each day, the increment from the previous day doubles.

Following this pattern, the distances for the next three days would be:

Therefore, the biker would bike 16.6 miles on the seventh day of training following this pattern.

Answer:

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

Step-by-step explanation:

Answer options:

The sample size is not large enough to represent the population.

The sample was not chosen at random.

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

The way the sample was chosen does not sample students from each different language class.

Answer:

C

Step-by-step explanation:

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

Answer:

100,000x5=500,000

500,000+250,000=750,000/100,000=7.5

5.0x14= $70

7.5x14= $105

They got $35

Answer:

For everyone in the future who uses this answer site. The person at the bottom with the answer 125,000 is correct. Even though I could not thank you commenter I thank you through this!

Step-by-step explanation:

Answer:

x = -4  and x = 2

Through the Completing the Square process below:

Step-by-step explanation:

solve 6x^2 +12x-48=0

first divide out the 6

x^2 + 2x - 8 = 0

Then use the Diamond method:

-8 = -2*4 ,   and  -2 + 4 = 2

so

x^2 - 2x + 4x - 8 = 0

x(x - 2) + 4*(x -2) = 0

(x + 4)(x - 2) = 0

so, solve  x + 4 = 0    and  (x - 2) = 0

x = -4  and x = 2

The completing the square is  {-4, 2}

Completing the Square. Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve a x 2 + b x + c = 0 by completing the square

According to the question,

Simplifying

6x2 + 12x - 48 = 0

Reorder the terms:

-48 + 12x + 6x2 = 0

Solving

-48 + 12x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.

6(-8 + 2x + x2) = 0

Factor a trinomial.

6((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 6.

Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying

-4 + -1x = 0

Solving

-4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -1x = 0 + 4

-1x = 0 + 4

Combine like terms: 0 + 4 = 4

-1x = 4

Divide each side by '-1'.

x = -4

Simplifying

x = -4

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Solution

x = {-4, 2}

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Answer:its not showing me the picture

Step-by-step explanation:

Answer:

1.32

4. 35

5. 400

7. 225

8. 260

10. 77

11. 72

Step-by-step explanation:

Answer:

You should be able to answer the question in 35 different ways.

Step-by-step explanation:

5 * 7 = 35

That's how I see it.

Final answer:

Using the Fundamental Counting Principle, there are  [tex]5^7[/tex] or 78,125 ways to answer a 7-question multiple-choice test where each question has 5 answer choices.

Explanation:

To determine the number of ways you can answer a multiple-choice test with 7 questions, where each question has 5 answer choices, you can use the Fundamental Counting Principle. This principle states that if there are n ways to do something and m ways to do another thing, then there are n*m ways to do both things.

In this case, for each of the 7 questions, you have 5 possible answers. So, the number of ways to answer all questions is 5 * 5 * 5 * 5 * 5 * 5 * 5, or  [tex]5^7[/tex]. Therefore, there are 78,125 ways to answer the 7 questions on the test.

We have been given that a line [tex]y=mx+b[/tex] passes through the point (10, 3) and is parallel to the line [tex]2x+5y=12[/tex]. We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

[tex]2x-2x+5y=12-2x[/tex]

[tex]5y=-2x+12[/tex]

[tex]\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}[/tex]

[tex]y=-\frac{2}{5}x+\frac{12}{5}[/tex]

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be [tex]-\frac{2}{5}[/tex].

Now we will use slope-intercept form of equation to find y-intercept.

[tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

Let us substitute [tex]m=-\frac{2}{5}[/tex] and coordinates of point [tex](10,3)[/tex] in above equation as:

[tex]3=-\frac{2}{5}(10)+b[/tex]

[tex]3=-2(2)+b[/tex]

[tex]3=-4+b[/tex]

[tex]3+4=-4+4+b[/tex]

[tex]7=b[/tex]

Therefore, the y-intercept is 7 and our required equation would be [tex]y=-\frac{2}{5}x+7[/tex].

1,000,000 is 1,000 times greater then 1,000

Step-by-step explanation:

If you multiply 1,000x1,000 you'll get an answer of 1,000,000

Therefore, 1,000,000 is going to be 1,000 times greater

Answer:-2=-2 (b)

Step-by-step explanation:

I just took that lesson

Answer:

-2=-2

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Pythagorean