Please help!

Using the graph below, which of the following equations represents the line that is parallel to line FG and passes through the (8,−3) point?


my only answers can be the ones in the attached image (just had a random one ticked)

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Work Shown:

[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(27)}{14}=\frac{\sin(82)}{c}\\\\c\sin(27) = 14\sin(82)\\\\c=\frac{14\sin(82)}{\sin(27)}\\\\c\approx 30.5375398\\\\c\approx \boldsymbol{30.5}\\\\[/tex]

I used the law of sines. Make sure your calculator is in degree mode.

The confirmation diagram shown below was made with GeoGebra. It is a free geometry and algebra app that I use all the time.

Answer:

x=2 or x= -1

Step-by-step explanation:

when  f(x) = 0

⇒| 2x-1 | =3

case(i)  (x>1/2)

2x-1=3

x=2

case(ii) (x<1/2)

-(2x-1)=3

2x-1=-3

x=-1

case(iii) (x=1/2)

[tex]0=3[/tex] absurd.

Answer:

A

Step-by-step explanation:

Pangaea is the name for the land mass before the continents split. The continents would have been connected during that species life time.

Answer:

Step-by-step explanation:

If a boat can travel 408 miles on 204 gallons, this means that for every 2 miles, it requires 1 gallon.

So, for 169 gallons, there are 2 miles for every gallon.

So, multiply 169 * 2.

The answer is 338

Hope this helps!

Answer:

In a class of 40 students, 20% are females. How many males are in the class?​

ANSWER

= 32

if in a class of 40 students 20% are females that means 80% of the class are males...

Work Shown:

i = P*r*t

i = 1250*0.045*5

i = 281.25

On average the more goals will a player scores for every additional hour of practice is 3/4.

Given a regression line for the data in the scatterplot which is shown in figure.

This question can be solved by finding the slope of the line.

Slope is the ratio of vertical change to horizontal change between two points on the line.

Here, we can find the slope by taking the two points which is on the line.

Let us take the two points be A(1.5,2) and B(6.5,6)

Now, we will find the slope using the formula, we get

m=(y₂-y₁)/(x₂-x₁) where (x₁,y₁)=(1.5,2) and (x₂,y₂)=(6.5,6)

Substitute the values in the formula, we get

m=(6-2)/(6.5-1.5)

m=4/5

The slope which we find is near to the slope 3/4.

Hence, the more goals will a player score for every additional hour of practice from the regression line is 3/4.

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It takes Preston 14 hours to repair the broken pipes.

Given Information

Cost of service call charged by Preston, the plumber, S = $50

Preston charges $5/hour.

Preston's charge per hour, P = $5

The total bill, B = $120

We have to calculate the number of hours Preston take to repair the broken pipes.

Calculating the Number of Hours

Total service charge of Preston = Total bill - Service Call Charge

= B - S

∴ Number of hours Preston took to mend the broken pipe is given by,

H = (B - S)/P

H = $(120 - 50)/$5

H = 70/5

H = 14 hours

Therefore, Preston took 14 hours to repair the pipes.

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Answer:

See below.  To model with mathematics is to test ideas using math and computer programs to simulate an object or action.

Step-by-step explanation:

To "model with mathematics" means that equations and mathematical relationships will be employed to simulate an object or action instead of using the actual object or action.  One example would be the design of a roller coaster.  The forces inherent on a roller coaster design can be predicted using Newton's laws and other principles of physics.  F=ma may be used to predict the force pulling the car down the initial incline and that can be used to calculate speed at the bottom.  A change in the car's direction will also produce forces that may be calculated,  One might ask "Will this turn produce more force than the seat belt can safely handle?"  Rather than building a coaster and testing it with your business partner in the seat, a mathematical model can be used to determine the risks and maximum forces.  You'll have a much better chance of keeping your friend intact on the actual coaster.  Mathematical models are also used to predict weather, the impact of monetary policy of the economy, and even which Netflix movie you are most likely to enjoy.  The design of aircraft, ships, cars, and many other items are done using computer-aided design programs where the various forces can be modeled to determine optimum design without actually building the item.  This can save enormous amounts of time and money to be able to test ideas on the computer before starting actual assembly.

Answer:

Just look at the other answer

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors,assuming positive real numbers.
Sorrry i cant write answer is that form but
the answer is 8 then square root of 5x rais to power 2 then write y raise to power3.

The transformation is translation

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The figure is attached below:

As per the definition the figure shows that size hasn't changed.

Hence, the transformation is translation.

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Answer:

y = x + 4

Explanation:

Initially (at week 0) = 4 cases

now (at week 1) = 5 cases

now (at week 6) = 10 cases

turn them into points:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{5-4}{1- 0 } = 1[/tex]

Find equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\sf \rightarrow y-4 =1(x -0)[/tex]

[tex]\sf \rightarrow y = x +4[/tex]

Answer:

215 is the answer of the 2 triangles

Answer: Yes because of ASA or AAS (C)

Step-by-step explanation:

Got it right on edge ")

Answer:

3 4/5

Step-by-step explanation:

If Natalie runs 5 miles each week and she already ran 1 1/5 then she will need to run 3 4/5.

5 - 1 1/5 = 3 4/5

The standard form to 3 significant figure of  16.927 is 1. 69 × 10^-1

Given the value;
16.927 to convert to three significant figure

= 1. 69 × 10 ^ -1

Note that "2" cannot add up as 1 to  '9'

Thus, the standard form to 3 significant figure of  16.927 is 1. 69 × 10^-1

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Using trigonometric relations, we will see that:

sin(θ ) = -0.8

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

θ = Atan(-4/3) = -53.13°

Then the sine of theta is:

sin(θ  = -53.13°) = -0.8

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The two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit are; x + y ≥ 12 and

8x + 11y < 180

We are told that she needs twelve pizzas. The equation below represents the number of pizzas of the type she needs to buy;

x + y ≥ 12

Where;

x represents the number of pepperoni pizzas she can buy while keeping her limit of 12 pizzas.

y represents the number of cheese pizzas she can buy while keeping her limit of 12 pizzas.

We are told that she cannot spend more than 180 dollars. Thus, our inequality is now;

8x + 11y < 180

Where;

8x represents the amount of dollars per pepperoni pizza.

11y represents the amount of dollars per cheese pizza.

These equations show all possible solutions.

The purple area in the graph attachment is verified to show the possible combinations.

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The given statement can be modeled as an algebraic expression (3m+7)/27 < n.

In mathematics, an expression is a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement is given as "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression.

(3m+7)/27 < n

Hence, the given statement can be modeled as an algebraic expression (3m+7)/27 < n.

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Answer:

The required line can be found by substituting the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.

Step-by-step explanation:

The equation of a parallel line to a linear function that passes through a point can be explained using the examples below.

We have,

The parallel line to a linear function that passes through a point can be explained using the examples below.

Example:

Let's find a line parallel to the linear function y = 3x - 2 that passes through the point (2, 5).

Step 1: Given linear function and point

Linear function: y = 3x - 2

Point: (2, 5)

Step 2: Determine the slope of the given linear function

The slope (m) of the given function y = 3x - 2 is 3.

Step 3: Use the slope to find the equation of the parallel line

Since the parallel line has the same slope (3), its equation will be

y = 3x + b, where "b" is the y-intercept that we need to find.

Step 4: Substitute the coordinates of the given point into the equation of the parallel line

Using the coordinates (2, 5) of the given point, we can solve for "b":

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

b = -1

So, the equation of the line parallel to y = 3x - 2 and passing through the point (2, 5) is:

y = 3x - 1.

Thus,

The equation of a parallel line to a linear function that passes through a point can be explained using the examples above.

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Answer:

3 months

Step-by-step explanation:

Let x be the number of months CDs are added at Tom and Nita's respective rates of 1 and 5 CDs/month.

Tom's collection after x months is = 30 + 1x

Nita's collection after x months is  = 18 + 5x

At some point they will have equal numbers of CD's, so set the equations equal to each other:

30 + 1x = 18 + 5x

4x = 12

x = 3 months

At 3 months both Tom and Nita will have the same number of CDs.

Tom:  30 + 1*3 = 33 CDs

Nita:  18 + 5*3 = 33 CDs

x = 3

We can create a system of equations to represent the situation we have been given.

Creating the Equations

In this system, we can create an equation to represent both people's collections.

First, we can create Nita's.

All of this creates the equation: 5x + 18 = y.

Next, we can do the same to find Tom's equation.

This creates the second equation: 1x + 30 = y.

The system is:

5x + 18 = y

1x + 30 = y

Solving the System of Equations

One method to solve a system of equations is substitution. Substitution is when you substitute an expression for a variable. Since both expressions are set equal to y, we can substitute the expressions for y and set them equal to each other.

This creates the new equation: 5x + 18 = 1x + 30. Then, solve normally.

4x + 18 = 30

4x = 12

x = 3

This means after 3 months the number CDs will be equal.

Clara is 15 years old, and there are 120 coins on the box.

Each year her mom puts as many coins in her money box as how old she turns that day.

So on her first birthday, 1 coin is put in the box.

On her second birthday, 2 coins are put in the box

And so on.

So we have the simple summation:

[tex]\sum_{n = 1} n[/tex]

We know that the outcome of that summation is a number in the interval [110, 130]

If we know that the sum goes from n = 1 to n = N (N is the age of Clara) then we can rewrite the summation as:

[tex]N*(N + 1)/2[/tex]

Now we can solve:

[tex]N*(N + 1)/2 = 110\\\\N^2 + N = 220\\\\N^2 + N - 220 = 0[/tex]

The two solutions of the quadratic equation are:

[tex]N = \frac{-1 \pm \sqrt{1^2 - 4*1*(-220)} }{2} \\\\N = (-1 \pm 29.7) /2[/tex]

If we take only the positive solution:

N = (-1 + 29.7)/2 = 14.35

Now, notice that we got this number by taking the smallest possible number of coins (110) So we can round this to the next whole number, which is 15.

If N = 15, then the number of coins in the box is:

15*(15 + 1)/2 = 120

Which lies on the wanted interval.

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Answer:

[tex]\huge\boxed{\sf 2a^2-13b^2+12abc}[/tex]

Step-by-step explanation:

[tex]=6a^2-4b^2+4abc-9b^2-4a^2+8abc\\\\Combine \ like \ terms\\\\=6a^2-4a^2-4b^2-9b^2+8abc+4abc\\\\=2a^2-13b^2+12abc\\\\\rule[225]{225}{2}[/tex]

Answer:

Hello! The answer is: [tex]2a^2 - 13b^2 + 12abc[/tex]

Step-by-step explanation:

[tex]6a^2 - 4b^2 + 4abc - 9b^2 - 4a^2 + 8abc[/tex]

Rearrange to combine like terms:

[tex]6a^2 - 4a^2 - 4b^2 - 9b^2 + 4abc + 8abc[/tex]

Combine like terms:

[tex]2a^2 - 13b^2 + 12abc[/tex]

A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.

Suppose that the given function is

[tex]f:X\rightarrow Y[/tex]

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

[tex]f^{-1}: Y \rightarrow X[/tex]

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

(and vice versa).

It simply means, the inverse of 'f' is undone operator, that takes back the effect of 'f'

The graph that represents the inverse of the given function is option A because graph A is showing more rapid growth as compared to the given graph.

Hence, the correct option is A.

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The value is P(p'-p > 0.17) = 0.09

From the question we are told that

The population proportion is p=0.19

The sample size is n = 479

Generally given that the sample size is large enough , i.e  n > 30 then the mean of this sampling distribution is mathematically represent

[tex]u_{x} =p=0.19[/tex]

Generally the standard deviation is mathematically represented as

σ[tex]=\sqrt{ \frac{p(1-p)}{n}[/tex]

σ= [tex]\sqrt{ \frac{0.19(1-0.19)}{479}[/tex]

σ=0.017

Generally the the probability that the sample proportion will differ from the population proportion by greater than 17% is mathematically represented as

[tex]P(p'-p > 0.17) =P (z > \frac{0.17}{0.017} )[/tex]

[tex]P(p'-p > 0.17) =P (z > 10 )[/tex]

[tex]P(p'-p > 0.17) =P (z > 10 ) - P (z > -10 )[/tex]

From the z table  the area under the normal curve to the left corresponding to 10  and - 10 is

[tex]P(p'-p > 0.17) = 0.97042 - 0.87450\\P(p'-p > 0.17) = 0.09[/tex]

So, the value of probability is greater than 17% is P(p'-p > 0.17) = 0.09

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The probability that the sample proportion will be greater than 17% is 0.8677 or 86.77%.

The true proportion of the sample or the mean of the sample = 19%, that is, μ = 19% or 0.19.

The sample size (n) = 479.

The sample proportion is to be calculated at the point 17% or 0.17.

The standard error (s) = √{μ(1 - μ)/n} = √{0.19(1 - 0.19)/479} = 0.0179.

We are asked to calculate the probability that the sample proportion is greater that 17% or 0.17.

This is written as P(X > 0.17) = P(Z > {(0.17-0.19)/0.0179}) = P(Z > -1.1173) = 1 - P(Z ≤ -1.1173) = 1 - 0.1304 = 0.8696 or 86.96%.

To calculate this using the calculator, we use the calculator function:

Normalcdf(0.17,10000000,0.19,0.0179) = 0.8677 or 86.77%.

Thus, the probability that the sample proportion will be greater than 17% is 0.8677 or 86.77%.

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hard to tell but from 0.75 to 1

Answer:

$0.64

Step-by-step explanation:

Cost for 8 gallons of gas

Credit Card at $3.77/gal

Cash at $(3.77 - 0.08)/gal:  $3.69/gal

(8 gal)*($3.77/gal) =  $30.16

(8 gal)*($3.69/gal) =  $29.52

Savings is $0.64