Unit 4 Mid-Unit Assessment 1 continued
2 Consider APQR
10
Part A
Draw ASTU which is the image of APQR
after a dilation with center (0,0) and
scale factor 3.
4
R
Part B
10
-8
-6
-2
2
6
10
What are the coordinates of the vertices
of ASTU?
Vertex S:
Vertex T:
Vertex U:
10
Part C
How do APQR and ASTU compare? Explain.

Answer: $25,875 - 15% = 21 993.75  0r $25,875 + 15% = 29 756.25

Step-by-step explanation:

Answer:

Negative because the dots travel down away from the positive area

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

13/8, which you can also write as 1 5/8

Answer:

7.9

Step-by-step explanation:

the first thing to do is find the second projection.

16-7 = 9

than we can use a proportion to find BD

7 : BD = BD : 9

BD = √9 x 7 = √63 = 7.9

we have to use the square root because in the proportion BD Is repeated two times. If we don’t use it, we find BD^2

Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,

Rate of production for a day = 1240/20 = 62 printer per machine

Now, the number of machines that will be needed to produce 1,984 printers in a day is,

Rate of production for a day = 1,984 / Number of machine

62 = 1984 / Number of machine

Number of machines = 32 machines

Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

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Answer:

The difference in square feet is 75 square feet.

Step-by-step explanation:

Formula for area of a rectangle: Area = length x width

Current measurements: 12 by 10, so

A = 12 x 10 = 120 square feet

New measurements: 15 by 13 (adding 3 feet to each)

A = 15 x 13 = 195 square feet

Subtract to find the difference:

195-120 = 75

Please let me know if you have questions.

Answer:

[tex]c \: (x + 5)(x - 1)[/tex]

Answer:

(2y+5)^5

Step-by-step explanation:

Use the "PERFECT SQUARE RULE"

Answer:

1/2

Step-by-step explanation:

2,3,5 are three out of a total of six options

3/6 = 1/2

Answer:

The number of tickets purchased typically varies from the expected value by 0.95 tickets.

Step-by-step explanation:

The standard deviation of the distribution is 0.95.

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

We have

P (X = 1)= 0.29

P (X = 2) = 0.44

P( X= 3) = 0.19

P (X = 4) = 0.06

P (X = 5) = 0.02

The expected value is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02 (5)

E(X) = 2.08

As, The standard deviation is the square root of the total of the difference squared between each value and the mean, multiplied by the likelihood of each value.

[tex]\sigma[/tex] = √0.29 (1- 2.08)² + 0.44(2- 2.08)² +.....+ 0.02 (5- 2.08)²

  = 0.95

Thus, the standard deviation is 0.95.

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Answer:

Number of year, when final value is $61,412.50 = 3 year

Number of year, when final value is $20,000 = 10 year (Approx.)

Step-by-step explanation:

Given:

Depreciation model

y = 100,000[0.85]ˣ

Where x = Number of year

Find:

Number of year, when final value is $61,412.50

Number of year, when final value is $20,000

Computation:

Depreciation model

y = 100,000[0.85]ˣ

61,412.50 = 100,000[0.85]ˣ

0.614125 = [0.85]ˣ

x = 3

Number of year, when final value is $61,412.50 = 3 year

Depreciation model

y = 100,000[0.85]ˣ

20,000 = 100,000[0.85]ˣ

0.2 = [0.85]ˣ

x = 10 (Approx.)

Number of year, when final value is $20,000 = 10 year (Approx.)

Answer:

This one i wrote down too

Step-by-step explanation:

Answer: letter b

Step-by-step explanation:

Answer:

It's 7!

Step-by-step explanation:

Answer:

the rate is 4.36%

Step-by-step explanation:

The computation of the pre tax cost of debt is shown below:

Given that

NPER = 24 × 2 = 48

FV = $1,000

PMT = $1,000 ×5% ÷ 2 = $25

FV = $1,175 - $80

= $1,095

The formula is shown below:

= RATE(NPER;PMT;-PV;FV;TYP

After applying the above formula, the rate is 4.36%

Answer:

78

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped  

Given:

A quadrilateral has vertices at (1,4), (7,3), (3, -5), and (8,4).

The quadrilateral is dilated by a scale factor of 3.5 with the origin as its center.

To find:

The coordinates of the vertices of the image of the quadrilateral.

Solution:

If a figure is dilated by a scale factor k with origin as it center, then

[tex](x,y)\to (kx,ky)[/tex]

It is given that the quadrilateral is dilated by a scale factor of 3.5 with the origin as its center. So, the rule of dilation is

[tex](x,y)\to (3.5x,3.5y)[/tex]

Using this rule, we get

[tex](1,4)\to (3.5(1),3.5(4))[/tex]

[tex](1,4)\to (3.5,14)[/tex]

Similarly,

[tex](7,3)\to (3.5(7),3.5(3))[/tex]

[tex](7,3)\to (24.5,10.5)[/tex]

[tex](3,-5)\to (3.5(3),3.5(-5))[/tex]

[tex](3,-5)\to (10.5,-17.5)[/tex]

And,

[tex](8,4)\to (3.5(8),3.5(4))[/tex]

[tex](8,4)\to (28,14)[/tex]

Therefore, the coordinates of the vertices of the image of the quadrilateral are (3.5,14), (24.5,10.5), (10.5,-17.5), (28,14).

Answer:

A. 5.2

Step-by-step explanation:

I was taught how to do this using the SOH CAH TOA method.

Step 1: Circle your given angle.

Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.

Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.

Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.

Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.

Step 6: Solve for x until x is by itself, then enter into your calculator.

You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.

Answer:

1/60

Step-by-step explanation:

50+30+40=120 (take all the students and add them together.)

2/120 (you only want 2 seventh graders)

simplified is 1/60

The probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.

Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.

Total number of outcomes = C(120, 2) = 7,140

Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.

Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students

Number of ways to choose 2 seventh-grade students = C(30, 2) = 435

Therefore, the probability of Quincy drawing two-seventh-grade students is:

Probability = Number of desired outcomes / Total number of outcomes

Probability = C(30, 2) / C(120, 2)

Probability = 435 / 7,140

Probability ≈ 0.061

Hence,  the probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

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Answer:

-18 + 9 = -9

Step-by-step explanation:

-2 x 9 = -18

Answer:

Plug the x-values into the equation to get the y values. This will give you coordinates that you can graph a line with.

Step-by-step explanation:

For x = -5:  y = -3 - 2 * (-5) = 7, so the coordinates are (-5, 7)

For x = -2:  y = -3 - 2 * (-2) = 1, so the coordinates are (-2, 1)

(Etc.)

Then, plot these coordinates and draw a line through them to complete the graph.  

Answer:

y = 841.25 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is  related to the time after launch, x in seconds, by the given equation as follows:

[tex]y = -16x^2 + 212x + 139[/tex] ....(1)

We need to find the maximum height reached by the rocket.

For maximum height, put dy/dx = 0

So,

[tex]\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s[/tex]

Pu x = 6.625 in equation (1).

[tex]y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet[/tex]

So, the maximum height reached by the rocket is equal to 841.25 feet.

Right I needed help on this

Answer:

28 girls

Step-by-step explanation:

Let total students be ‘X’

No of girls = (X-20)

Girls/Boys=7/5=(X-20)/20

7(20) =5(X-20)

140=5X-100

5X=240

X = 240/5

X =48

So, Total Students are 48

No of girls = (X-20) = 48-20 = 28

Answer:

600

Step-by-step explanation:

yw