I need help with my work

Answer:

Step-by-step explanation:

Answer:

FM and GB

Step-by-step explanation:

the angles are corresponding meaning that the lines must be parallel

Margaret invests $3,500 in a savings account that offers 5% simple interest per annum. So interest she will get after 8 years is

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Given that :  Margaret invests $3,500 in a savings account that offers 5% simple interest per annum.

S.I = [tex]\frac{(P)(R)(T)}{100}[/tex]

P = $3,500

R=5%

T=8 years

S.I = [tex]\frac{(P)(R)(T)}{100}[/tex]

S.I = [tex]\frac{(3500)(5)(8)}{100}[/tex]

S.I = 1400

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The formula for y in terms of x is y = [tex]\frac{16}{25} x^{3}[/tex]

Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

Given that,

Y is inversely proportional to a³ When a = 2, y = 10

A is directly proportional to x when x = 4, a = 20

If y is inversely proportional to a³

[tex]\frac{y}{x^{3} }[/tex]∝1

y = [tex]\frac{k}{a^{3} }[/tex], where k is the proportionality constant

Given, a=2, y=10, then 10 = [tex]\frac{k}{2^{3} }[/tex]

k = 10 × 2³

k = 80

Substituting k = 80 back into the formula;

y = [tex]\frac{80}{a^{3} }[/tex]............. 1

Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx

If x=4, a=20 then;

20 = 4k

k = [tex]\frac{20}{4}[/tex]

k = 5

Substituting k = 5 back into the formula;

a = 5x ....... 2

Substitute equation 2 into 1;

y = [tex]\frac{80}{a^{3} }[/tex]

y = [tex]\frac{80}{5x^{3} }[/tex]

y = [tex]\frac{80}{125x^{3} }[/tex]

y = [tex]\frac{16}{25x^{3} }[/tex]

Therefore, the formula for y in terms of x is y = [tex]\frac{16}{25} x^{3}[/tex]

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The school uses a total of 23,080 pieces of paper in one year.

To calculate the total number of pieces of paper used by the school we use addition. We also use subtraction to find the pieces of blue paper and yellow paper.

As the pieces of blue paper are 3580 fewer than white paper, we find the pieces of blue paper by subtracting 3580 from 11,280.

blue paper = 11280 - 3580 = 7700

As the pieces of yellow paper are 3600 fewer than blue paper, we subtract 3600 from the total number of pieces of blue paper.

Yellow paper = 7700 - 3600 = 4100

Now, the total number of pieces can be found by the addition of white, blue, and yellow pieces of paper.

Total pieces = White papers + Blue papers + Yellow papers

Total pieces = 11,280 + 7700 + 4100

Total pieces = 23,080

Therefore, 23,080 pieces of paper were used by the school in one year.

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Answer:

4 * 5 * 6 = 120  possible meals can we order.

Step-by-step explanation:

given that-

If you go to a restaurant and there are 4 choices for main dishes, 5 choices for sides, and 6 choices for drinks

4 * 5 * 6 = 120 combinations or Ways to Order

we can order the main dish in 4 different ways. Then, we can choices for sides in 5 different ways and the drinks in 6 different ways.

(The outcome of the selection of the first does not influence the second or third)

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Answer:

82 because 102.50/1.25=82

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Step-by-step explanation:

Step-by-step explanation:

The answer is 8+2x . This is the correct answer .

Answer:

perimeter of triangle = a + b + c

perimeter = 3x-5+2x+19-x

                = 6x + 14

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Answer: P=2a + b which = A- 3x - 5

Step-by-step explanation:

Answer:

It's the 3rd one

Step-by-step explanation:

2x7=14 7x4=28 7x6=42

Answer:

The third table, since x/y = 7.

The solution in the given interval is x =6

A "equal to" symbol on both sides of an equation is not necessarily necessary for it to be balanced. It may also refer to a connection when two things are "not equal to," i.e., where one is better or worse than the other. Any relationship between two numbers or other mathematical expressions that leads to an unfair comparison is referred to in mathematics as an inequality. Certain algebraic mathematical expressions are known as inequalities.

Equation is :

[tex]x^{3} +2x^{2} -41x -25 =17\\x^{3} +2x^{2} -41x -42\\Put x =-1\\-1^{3} -2(-1)^{2} -41(-1) -42=0\\So, (-1) is the solution of the given equation and (x+1) must divide the equation so,\\\frac{x^{3} +2x^{2} -41x -42}{(x+1)} =x^{2} +x-42\\So we can write \\(x+1)(x^{2} +x-42)=0\\(x+1)(x^{2} +7x-6x-42)=0\\(x+1)(x-6)(x+7)=0\\So the solution of the equation are\\x_{1} =-1\\x_{2} =+6\\x_{3} =-7\\[/tex]

We need to find the integer solution in the interval 0≤x≤10

So total no. of solution in the given interval is 1

The solution in the given interval is x =6

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The function that represents the vertical stretch by a factor of 3 of f(x) is given as follows:

g(x) = 3x - 21.

Vertical stretches or compression to the graph of a function f(x) are applied by the multiplication of a constant a to the function, as follows:

g(x) = a x f(x).

Then the value of the constant determines if it is an stretch or a compression.

For this problem, we want a vertical stretch with a factor of 3, then the constant is given as follows:

a = 3.

Then the definition of function g(x) is given by:

g(x) = 3f(x)

g(x) = 3(x - 7)

g(x) = 3x - 21.

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Answer:

Step-by-step explanation: the answer is .75. your welcome

the answer is 3/4 or 0.75

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~7 - (-2)~~)^2 + (~~9 - 7~~)^2} \implies d=\sqrt{(7 +2)^2 + (9 -7)^2} \\\\\\ d=\sqrt{( 9 )^2 + ( 2 )^2} \implies d=\sqrt{ 81 + 4 } \implies d=\sqrt{ 85 }[/tex]

Answer: 28.87 seconds

Step-by-step explanation:

Check attached image for explaination

Answer:

x = 1/2, y = 4

Step-by-step explanation:

2x + 3y = 13----------> 2x + 3y = 13

4x - y = -2------------> 12x - 3y = -6

-----------------

14x = 7

x = 1/2, y = 4

The expression represented by 50 added to half of a number, c is 50 + c/2

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

50 added to half of a number, c

half of a number, c means divide c by 2

So, we have

50 added to half of a number, c  => 50 added to c/2

Added to means +

So, we have

50 added to half of a number, c  => 50 + c/2

Hence, the expression represented by the statement is  50 + c/2

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SOLUTION:

Step 1:

In this question, we have the following question:

A rock is dropped from a height of 10 feet. The height of the rock is modeled by the graph shown.

Part A



​​What is the height of the rock 0.5 seconds after being dropped? The height of the rock 0.5 seconds after being dropped is ........... feet

6 .

Step 2:

Part B



To the nearest tenth of a second, how many seconds after being dropped does the rock hit the ground?The rock hits the ground approximately ...............................seconds after being dropped.

0.8



The given exponential function represents the growth in function with a percentage increase as 57.3%.

Given we have the exponential function as :

y=8800(1.573)ˣ

it is in the form of: y=k.aˣ

therefore, if a>2 then the function represents growth.

and if a<1 then the function represents decay.

now, x=1.573

1.573 > 1

so, the function represents change in growth.

therefore, 1.573 - 1

= 0.573

= 57.3%

hence the change in growth of the function is increased by 57.3%.

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Answer:

211a+9x

Step-by-step explanation:

first, calculate the exponents (the number times itself) of each number

9a +81a +121a+9x

the reason they are positive is that a negative times a negative equals a positive ex: -3 x -3 = 9

next, combine the coefficients

starting with the variable for a

9a+81a+121a= 211a

x has no other coefficients so it would remain 9x

so the simplified answer would be

211a+9x

For an equivalent expression for [tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex] it is option 4 that is correct that means the equivalent expression can be seen as [tex]\frac{1}{18} ^{2}[/tex].

Expressions that can be considered are equivalent do the same thing even when they have distinct appearances. When we get to enter the same value(s) for the same variable, two algebraic expressions that are equivalent have the same value (s).

Calculating the equivalent expression,

[tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex]

= [tex]18^{-7+5}[/tex]

=[tex]18^{-2}[/tex]

=  [tex]\frac{1}{18} ^{2}[/tex]

An expression that can be considered equivalent to another phrase but then differs in appearance is the one that has the same value or worth. In algebra, we can say 2(2x – 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.

When two expressions can be reduced to a single thread expression or when one of the expressions can be written in the same way as the other, they are said to be equivalent. You can also determine whether two expressions are equivalent.

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The value of m in the right triangle to the nearest tenth is 7.2 units.

The figure above is a right triangle.

The right triangles are similar.

Therefore, right triangle ABC is similar to right triangle BDC.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Therefore, let's find the value of m using the similar triangle principle,

m / 13 = 4 / m

cross multiply

m × m  = 13 × 4

m² = 52

square root both sides

√m² = √52

m = 7.21110255093

Therefore,

m = 7.2 units.

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Answer:

200.96 square inches

Step-by-step explanation:

it's asking for the area of a circle

we know that the radius is 8, so we can just plug it into the circle area formula which is

area = (pi) r^2

you plug in 8 for r (r stands for radius)

8^2 is 64

64 times pi is 200.96 (because pi=3.14)

The value of x in the triangle extended through W to X is 39.5°.

It should be noted that a triangle has a total angle of 180° and also has three sides. Based on the information given, the following can be deduced:

Angle 1 = 3x - 4.

Angle 2 = 6x + 6

Angle 3 = x + 20

Therefore, the value of x will be gotten by adding the values and equating to 180°. This will be:

3x - 4 + 6x + 6 + x + 20 = 180

4x + 22 = 180

Collect like terms

4x = 180 - 22

4x = 158°

Divide

x = 158/4

x = 39.5°

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Answer: 39.5°

Step-by-step explanation:

There are 2 numbers between 7 and 5 and 3 numbers between 5 and 2

The simplification of number 17/0 gives the undefined form.

For the given question;

The expression is 17/0

Let us say that 17/0 = x

Its means; 17 = x ×0

17 = 0

But , 17 ≠ 0

As, given expression 17/0 can not be defined by any number.

Thus, 17/0 is an undefined term.

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The numerical value of x is 2 as segment AB equals segment BC.

A midpoint is simply a point that divides a line segment into two equal halves.

Given the data in the question;

Given that B is the midpoint of segment AC, this means that segment AB is equal to segment BC.

Hence

Segment AB = Segment BC

4x + 5 = 13

Solve for x

Subtract 5 from both sides

4x + 5 - 5 = 13 -5

4x = 8

Divide both sides by 4

4x/4 = 8/4

x = 8/4

x = 2

Therefore, the value of x is 2.

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