Find the area of this parallelogram. Be sure to include the correct unit in your answer.19 yd12 yd11 yd

The graph of g(x) is the graph of ​f(x)​ translated 2 units left by the operation g(x)=f(x+2) so option (D) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

If a function f(x) is transformed by funciton g(x) as shown,

g(x) = f(x+a)

For a>0, then the graph of f(x) shifts left by "a" unit, while if a<0, then the graph of f(x) shifts right side by "a"units.

As per the given function,

g(x) = f(x + 2)

Since 2  > 0 therefore the function will shift 2 units left.

Hence "The graph of g(x) is the graph of ​f(x)​ translated 2 units left by the operation g(x)=f(x+2)".

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it is given that,

the height of the wedge is h = 18 in

the area of the wedge is A = 90 square in.

we know that the area of a triangle is

A = 1/2 x base x height

put values,

90 = 1/2 x base x 18

90/18 = 1/2 x base

5 = 1/2 x base

base = 5 x 2

base = 10 inches,

thus, the base of the wedge is 10 inches,

Solution

Use this graph to answer the questions below:

The numbers sold for 2020 and 2021 are shown in the double bar above

1. The number of radio sold in 2021 = 440

2. Which products sold more in 2021 than in 2020 :

The only products that sold more in 2021 than in 2020 is video games

3. Which products sold the least over the two years

The products that sold the least = DVDS

We want to calculate the probability of this event A: "the outcome is less than 8". To calculate this probability, we should first note that we have a total of 9 outcomes. So, we will first identify out of this outcomes cause the event A to happen.

Since the event A is saying that the outcome is less than 8, then the outcomes that would make the event A to happen would be the numbers from 1 to 7. However, to calculate this probabilty, we will use this property of probability.

Given an event A, we have the

Examining the function the graph that is correct is the graph in option C

A graph is a representation of data using accepted means of presentation.

The graph used in the question is in cartesian coordinate and it a parabolic graph

The given data is h(x) = -x² - 4

Examining the given function

The term -x² is a negative term hence the graph opens downwards

The value of h(x) when x = 0 is -4. Therefore the graph will have an intercept at -4

The graph of option C is the one that meets the required criteria hence the nest option

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SOLUTION

In a box and whisker plot, the firt dot on the box is Q1

The second dot on the box is Q2

The third dot on the box is Q3

Q2 is the median

From what we see,

Hence the answer is 25, option D

Given

The solutions can be seen below.

Explanation

In "a," only the y-value is raised to the power of 1 hence, the reason why y^0 became 1 which then multiplies -6 to get -6. However, in "b", the entire expression is raised to the power of zero, which will then give 1 as the answer.

Answer:

Step-by-step explanation:

1) -0.6 = -6/10

           = -3/5

2) -0.6*-2/5  = (-3/5)*(-2/5)

                     =(-3*-2)/(5*5)

Let's begin by identifying key information given to us:

The point-slope equation is given by:

we have the following equation

where t is the time in years, as we have 9 months, we have to change to years

so after 9 months we get

So she will earn $6.45 in 9 month

We are asked to find 150% of 38

Step 1:

Convert the 150% to decimal by removing the % sign which means dividing by 100.

150/100 = 1.5

Step 2:

Now simply multiply the decimal percentage with the number 38

1.5×38 = 57

Therefore, 150% of 38 is found to be 57

We have first the formula of the circumference of a circle

In order to know the area we need to know the radius of the circle, it can be obtained using the formula above and the next information.

C=18pi

r is the radius

then we isolate the r

the radius is 9 ft

then we can calculate the area using the next formula

we substitute the value of the radius

Answer:

4w+8

Step-by-step explanation:

The atomic mass of the copper is

solve the above expression

So the atomic weight of the mixture is 66.36 .

Out of 23 students 19 students are the member of planetarium's frequent visitor program and 4 students are not the members.

Given,

The total number of students in a group = 23

Cost of ticket for member of planetarium's frequent visitor program = $11

Cost of ticket for the student who is not a member = $13

The total cost of the students ticket = $261

Lets take,

The number of students with membership = x

The number of students without membership = y

Total number of students, x + y = 23 -----------(1)

Now,

Total cost for the tickets, 11x + 13y = 261

Now, Multiply 13 with (1)

We get,

13x + 13y = 299

Solve for x

13x + 13y = 299 -

11x + 13y = 261

2x + 0 = 38

2x = 38

x = 38/2

x = 19

Now, put x in (1)

19 + y = 23

y = 23 - 19

y = 4

That is,

The number of students with membership is 19 and the number of students without membership is 4.

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Answer:

C. YW≅CE

Step-by-step explanation:

SSS is used when three pairs of sides are congruent. Two pairs of congruent sides are given. YW≅CE would be the third pair and therefore prove the triangles are congruent by SSS.

The length of the first piece is 5 inches when a 43-inch piece of steel is cut into three pieces.

According to the question,

We have the following information:

A 43-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than five times the length of the first piece.

Now, let's take the length of the first piece to be x inches (as shown in the figure).

Length of second piece = 2x inches

Length of third piece = (3+5x) inches

Now, we have the following expression for addition:

x + 2x + 3 + 5x = 43

8x+3 = 43

8x = 43-3

8x = 40

x = 40/8

x = 5 inches

Hence, the length of the first piece is 5 inches.

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Answer:

17/30

Step-by-step explanation:

There are 17 girls at a party with 30 guests. What fraction of the party guests are girls?

17/30

The value of letter y in this problem is y = 6x / -14

The equation says that 6x + 14y

To solve the equation that we have here, we would have to equate to 0

such that we would have the equation as  6x + 14y = 0

6x + 14y = 0

then we would have

6x = - 14y

remember that when positives crosses over we would have it turn as negative.

Next we would have to divide through by - 14 in order to get the value of y

hence we would have

-14y / -14 = 6x / -14

then we would have y as

y = 6x / -14

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start separating the fraction into smaller fractions

then, divide each of the fractions

In order to determine the mass of the car, you first calculate the acceleration of the car, by using the following formula:

where:

v2: final speed of the car = 2.8 m/s

v1: initial speed of the car = 1 m/s

Δt: time interval = 12 s

You replace the previoues values into th formula for the acceleration:

Next, you the Newton's second law to find the mass of the car. You proceed as follow;

where:

m: mass of the car = ?

a: acceleration of the car = 0.15m/s²

F: force exerted on the car by the man = 127.5N

You solve for m in the formula for F, and you replace the values of the other parameters to obtain m, just as follow:

Hence, the mass of the car is 850kg

The answer is $0.5

Explanation:

⇒ Total amount of tickets sold = 1000 x $5 = $5000

⇒ Expected value E(X) =∑X.P(x)

⇒ 1 x (1000/5000) + 5 x (100/5000) + 10 x (20/1000)

= 0.2 + 0.1 + 0.2

= $0.5

Given a figure to find the area of the figure.

The given figure is the combination of two triangles and a semi-circle.

Here the radius and the base of the triangle is 10 yd and the height of the triangle is 21 yd. So, the area of the figure is;

Thus, the area of the figure is 367 yd^2.

ANSWER

Yes

EXPLANATION

The system of inequalities shows that y is greater than or equal to the first line and less than or equal to the second line. This means that any point on both lines is a solution to the system.

Hence, the intersection of the boundary lines is part of the solution.

The length of segment AC is 2.96 units

From the question, the given parameters are

Line segment AB = 7 units

Angle A = 65 degrees

The line segment AC can be calculated using the following cosine ratio

cos(Angle) = Adjacent/Hypotenuse

Where

Adjacent = Side length AC

Hypotenuse = Side length AB

So, we have

cos(65) = AC/AB

This gives

cos(65) = AC/7

Make AC the subject

AC =7 * cos(65)

Evaluate

AC = 2.96

Hence, the side length AC has a value of 2.96 units

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Answer:

y - 1 = -8/3(x - 10)

also valid:

y - 9 = -8/3(x - 7)

Step-by-step explanation:

Point-slope equation is a fill-in-the-blank formula that is sort of a shortcut for writing the equation of a line. Point-slope is named that bc you fill in a point and the slope.

Point-slope Eq:

y - Y = m(x - X)

fill in the slope for the m and fill in any point on the line for the X,Y.

First slope:

Slope is y-y over x-x

9-1 / 7-10

= 8/ -3

= -8/3

So slope is -8/3 fill that in for the m.

y -Y = -8/3(x-X)

Pick one of the points (either one it totally doesn't matter)

Let's use (10,1)

fill in 10 for X and 1 in place of Y.

the y in the very front stays a y and the first x in the parentheses stays an x, so there will be two variables in your completed answer.

y - 1 = -8/3(x - 10)

make sure the parentheses on the right is beside the -8/3 fraction and is NOT written on the bottom, beside the 3 only.

Answer:

0. k=2

1. k=-3

Explanation:

The constant of proportionality is the number that is beside the variable x in both equations.

(1)For the equation:

The constant of proportionality is 2.

(2)For the equation:

The constant of proportionality is -3.