is 5/16 rational or
irrational

The growth in Nora's salary illustrates a geometric progression

The total amount earned over the 21 years is $1147059

The given parameters are:

Initial salary, a = 40000

Rate, r = 1 + 3% = 1.03

Number of years = 21

The sum of n terms of a geometric progression is represented as:

Sn = a((r^n) - 1)/(r - 1)

So, we have:

S21 = 40000 * ((1.03^21) - 1)/(1.03 - 1)

Evaluate

S21 = 1147059

Hence, the total amount earned is $1147059

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So

Option B

Answer:

B(x=4,x=5)

Step-by-step explanation:

Here,

[tex]x^{2} -9x+20=0[/tex]

We can find the value of x by various methods.

Method 1

By using formula

x=-b±√b²-4ac/2a

For ax²+bx+c=0

Here,

a=1, b=9, c=20

Putting the values.

x=-b±√b²-4ac/2a

x=-(-9)±√9²-4×1×20/2×1

Taking positive one.

[tex]x=\frac{-(-9)+ \sqrt{81-80} }{2} \\\\x=\frac{9+1}{2} \\\\x=5[/tex]

Taking negative one.

[tex]x=\frac{-(-9)- \sqrt{81-80} }{2} \\\\x=\frac{9-1}{2} \\\\x=4[/tex]

x=5,x=4

Method 2

[tex]\hookrightarrow x^{2} -9x+20=0\\\\\hookrightarrow x^{2}-4x-5x+20=0\\\\\hookrightarrow x(x-4)-5(x-4)=0\\\\\hookrightarrow (x-5)(x-4)=0[/tex]

x-5=0....I

x-4=0.....II

Solving equation I

x-5=0

x=5

Solving equation II

x-4=0

x=4

Answer:

578.5

Step-by-step explanation:

89*6.5

C = pi x d = 3,14 x 12 = 37,68 inches

Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

Bankruptcy is a legal proceeding involving a person or business that is unable to repay its outstanding debts.

Had Lewis not filed bankruptcy, he would have paid = 90+50+65+75

He would have paid (let us say amount A)= $280

After filing for bankruptcy he has to pay = 205+75+150+110

He has to pay (let us say amount B)= $540

Difference between amount A and amount B = $540-$280

Difference between amount A and amount B = $260

Therefore, Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

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Answer:

F) triangle ABC is similar to triangle CBD

Step-by-step explanation:

Hope this helped

Answer:

3 times a number:

3x

Reduced by 10 means we subtract 10:

3x - 10

7 times this quantity:

7(3x - 10)

Therefore, your answer is 7(3x - 10).

☆Hoepfully this helps!!

Answer:

c

Step-by-step explanation:

1 and 3/5 is 8/5

8/5 * 5/8 is 8/5 * 8/5

64/25

25*2 is 50

64-50 is 14

2 and 14/25 or 2 14/25

Answer:

  3n

Step-by-step explanation:

The number of raised fingers is 3 for each hand, so is 3 times the number of hands.

For n hands, the number of raised fingers is ...

  3n

Answer:

40

Step-by-step explanation:

4•10(10 answers at 4 people)

Answer:

x = 13

Step-by-step explanation:

Supplementary means 180 degrees.

Since we are finding the supplement, we are going to add both angles together and solve for x.

3x + 11 + 17x - 91 = 180

~Combine like terms

20x - 80 = 180

~Add 80 to both sides

20x = 260

~Divide 20 to both sides

x = 13

Best of Luck!

Answer:

Since the measure of both angles are supplementary, its easy to form the equation.

3x+11+17x-91 = 180

20x-80 = 180

20x = 100

x = 5

m<a = 3x+11

= 3(5)+11

= 15+11

= 26

m<b = 17x-91

= 17(5)-91

= 85-91

= -6

Answer:

x=-2.951373070

Step-by-Step Explanation

Answer:

2160

Step-by-step explanation:

18/4= 4.5

480km * 4.5= 2160

Answer:

2160

Step-by-step explanation:

The equation that shows the relationship between the number of cups and pints is c = 2p.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

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Answer:

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

A number line is a representation of a graded straight line. The value that is farthest from 2 is √2.1.

A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are indicated by the symbol 'R'. A real number is considered to correspond to every point on a number line, and a point to every real number.

On the number line, positive numbers are on the right side of the number line while negative numbers are on the left side of the number line. Now, the value of all the given options can be written as,

[tex]\sqrt{2.1}=1.45 \\\\\sqrt{2.4}=1.55\\\\\sqrt{2.5}=1.58\\\\\sqrt{2.9}=1.7[/tex]

As we can see that the approximate value of the square root values is written above the value that is farthest from 2 is 1.45.

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Answer:

No, because the you have two of the same inputs.

Answer: X=1

Step-by-step explanation: The equation is 40x+140=180 because a triangle always adds up to 180

Then subtract 140 from both sides which makes it

40x=40

Then divide which would make it X=1

Answer:

n/4

Step-by-step explanation:

Answer:

<4 ~= <8 - Corresponding Angles Theorem

<2 ~= <8 - Alternate Exterior Angles Theorem

<2 ~= <4 - Vertical Angles Theorem

line I || line m - Transitive Property

Answer:

Step-by-step explanation:

You would be required to use a change in subject of formula method.

You then make H the subject of formula

πH/3 (R2 + Rr + r2)

the you make H the subject of the formula

Answer:

slope

5/2

y-inter

-10

The slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the equation of the line as 5x - 2y = 20.

We have the equation of the line as -

5x - 2y = 20

2y = 5x - 20

y = (5/2)x - 10

[m] = 5/2

Therefore, the slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

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Answer:

yes it does match

Step-by-step explanation:

the graph has the coordinates (-2,1),(-1,2),(0,3),(1,4) all on it.

Answer:

Domain: All real Numbers or (infinity, Infinity)

Range: All real Numbers or (infinity, Infinity)

Step-by-step explanation:

I am assuming the equation is F(x) = [tex]\sqrt{x} ^2[/tex]

The gas mileage of the trucks is the number of miles traveled per gallon of gas

The truck that has the best gas mileage is (b) Truck A, because for every gallon the truck goes 19 miles.

As stated above, gas mileage measures the miles traveled by one gallon of gas.

This means that options (a) and (c) cannot be true, because these options measure the number of gallons used per mile

From the complete question, truck A uses 1 gallon for 19 miles, while truck B uses 1 gallon for 18 miles.

19 miles per gallon is greater than 19 miles per gallon

This means that truck A has the greater mileage

Hence, option (B) is true

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Answer:

2920

Step-by-step explanation:

Answer: B. 8 3/4

Step-by-step explanation:

The amount of sand he needs would be equal to the volume of the sand box.

Since the sandbox is a rectangular prism, the volume if the length*width*height/depth.

We can plug in the values given.

Volume = 3.5 feet*5 feet * 0.5 feet

Volume = 8.75 feet^3 = 8 3/4 feet^3

Answer:

B. 8 3/4

Step-by-step explanation:

How do we find the volume of a rectangular prism?

  ❖ The volume of a rectangular prism can be found by using the formula

       length × width × height. We're given all the dimensions, so now we can

       solve for the volume

Solving

Therefore, the answer is B. 8 3/4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.

A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.

In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.

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Answer:

1/5+1/5=2/5

Step-by-step explanation:

firstly add red and white marble