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Answer: (2x + 3) • (x-1)

Step-by-step explanation:

1 Pull out like factors :

4x + 6 = 2 • (2x + 3)

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

(5x - 5) = 5 • (x - 1)

Answer:

B

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

hopefully this helps :)

Answer:

7.5 ft tall

Step-by-step explanation:

We can find the height of the tree if you provide the actual length of the trees shadow.

Not really sure what a "toilet for a shadow" means.

Example: If the tree cast a shadow that was 4 feet long we would use a ratio:

Height/shadow = Height/Shadow

28/15 = x/4 cross multiply

15x = 4(28)

x = 4(28)/15 ≅ 7.47 ft

Rounding I would call the tree 7.5 ft tall

Hope this helps.

Answer:

39.2 feet

Step-by-step explanation:

In case of flagpole:

[tex] tan \theta = \frac {28}{15}..... (1)[/tex]

Since, a nearby tree casts a 21 foot shadow at the same time. So the angle formed will be equal.

Let the height of the tree be x feet.

Therefore,

[tex] tan \theta = \frac {x}{21}.....(2)[/tex]

From equations (1) & (2)

[tex] \frac {28}{15} = \frac {x}{21}.....(2)\\\\

x = \frac{28\times {21} }{{15} }\\\\

x = \frac{588}{{15} }\\\\

x = 39.2 \\\\

[/tex]

Answer:

0.80

Step-by-step explanation:

I just took the test I wrote the $1.67 it was wrong.

Answer:

100% of 600 is 600

Step-by-step explanation:

Answer:

600 is the correct answer

Step-by-step explanation:

thanks

Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:

Bond Price will be  [tex]\$108,175.71[/tex]

From the information given in the text we found that:

To calculate the price of the bond, we need to use the following formula:

[tex]Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n][/tex]

So with the formula already informed we will replace the values ​​given in the text find what we want.

[tex]Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71[/tex]

See more about finances at: brainly.com/question/10024737

Answer:

x= -5

Step-by-step explanation:

Answer:

The vertical distance in feet that the plane traveled was 4 Km

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:

[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}[/tex]

Operating:

[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}[/tex]

Solving for y2-y1, we get the vertical distance traveled by the plane:

[tex]\displaystyle y_2-y_1=6*\frac{2}{3}=4[/tex]

Thus, the vertical distance in feet that the plane traveled was 4 Km

Answer:4

Step-by-step explanation:8x4=32

Since it is 1 out of 8, 32/8=4

Answer:

The object hits the ground with a velocity of 703.6 m/s.

Step-by-step explanation:

Evaluating Functions

The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:

v = 19.6h

We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.

Substituting in the equation:

v = 19.6*35.9

v = 703.64 m/s

Rounding to the nearest tenth:

The object hits the ground with a velocity of 703.6 m/s.

Answer:

no correlation

Step-by-step explanation:

the dots are scattered randomly and not in a positive or negative correlation

Answer:

29.12%

Step-by-step explanation:

Given that :

A = 49

B = 50

C = 38

D = 60

E = 75

Total = (49 + 50 + 38 + 60 + 75) = 272

Pie chart % for each :

A = (49 / 272) * 360 = 64.85

B = (50 / 272) * 360 = 66.18

C = (38 / 272) * 360 = 50.29

D = (60 / 272) * 360 = 79.41

E = (75 / 272) * 360 = 99.26

Difference between C and D

(79.41 - 50.29) = 29.12%

Answer:

Answer: x=4, y=10

Step-by-step explanation:

Lines and Angles

When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.

We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.

Linear angles always add up to 180°

We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:

29x - 3 + 15x + 7 = 180

Simplifying:

44x +4 = 180

Subtracting 4:

44x = 176

Dividing by 44:

x = 176/44

x = 4

Now below the horizontal line, we find other pair of linear angles, thus:

13y - 17 + 15x + 7 = 180

Substituting x=4:

13y - 17 + 60 + 7 = 180

Simplifying:

13y + 50 = 180

Subtracting 50:

13y = 180 - 50 = 130

Dividing by 13:

y = 130/13 = 10

y = 10

Answer: x=4, y=10

Answer: 1

Work: After plugging in the 6 in the X, the new equation is -2(6) + 13. After doing the multiplication of -2 and 6, you get -12. Add -12 + 13, and the answer (Or y) equals 1.

I hope this helps, and Happy Holidays! :)

Answer:

total charge = $ 16.52

refer to the Attachment please :)

hope this helps you ^^"

Answer:

45.99x.94=P

Step-by-step explanation:

Answer: A, $2,100

Step-by-step explanation:

2000x1.05=2,100

Answer:

10 necklaces and 2 bracelets

Step-by-step explanation:

Each necklace sells for 10 dollars, at 9 dollrs each, that makes 90 dollars

That, combined with the 10 dollars the two bracelets would make her, would give the vendor 100 dollars in profit

Answer:

Yes it is proportional

Step-by-step explanation:

Notice how when x goes up 1 y goes up by 1.6. There is a pattern, if there is no pattern then you would see that numbers either go up or down with no pattern.

Answer:

3×5×9

Step-by-step explanation:

It's the only answer that can be applied

But you have to expand it farther

2×5×9

2×3×3×5

Note:if you want the answer from your options the answer is 2×5×9

Otherwise 2×3×3×5

Answer:

12 litres

Step-by-step explanation:

The area to be covered is

A = 6 × 3 = 18 m²

Divide the area by 1.5 for required amount of paint, that is

18 ÷ 1.5 = 12 litres

Answer:

Step-by-step explanation:

Answer: A

Step-by-step explanation:

We need to convert each city to percentage. Los Angeles is 13/50 and we can double that to convert it to a percentage of 26%. Next is Seattle which is 3/10 and we can multiply that by 10 to get a percentage of 30%. Next is San Francisco, which is at 2/5 and we multiply that by 20 to get a percentage of 40%. Next is Boston which is 43%. The final city is New York City which is 48%. The order of these cities in least to greatest in percentage of public transport use is Los Angeles, Seattle, San Francisco, Boston,  and New York City. Therefore the answer is A.

Answer:

B)20,12,24,16,30

Step-by-step explanation:

A) 15,7,14,6,12

15 to 7: subtract 8

7 to 14: multiply by 2

14 to 6: subtract 8

6 to 12: multiply 2

B) 20,12,24,16,30

20 to 12: subtract 8

12 to 24: multiple 2

24 to 16: subtract 8

16 to 30: add 14

C)17,9,18,10,20

17 to 9: subtract 8

9 to 18: Multiply 2

18 to 10: subtract 8

10 to 20: multiply 2

D)24,16,32,24,48

24 to 16: subtract 8

16 to 32: multiply 2

32 to 24: subtract 8

24 to 48: multiply 2

You can clearly see that all of them follow the pattern except B, making B the answer.

Don't be afraid to reach out if you need any more help. I hope that helps you!

Answer:

B

Step-by-step explanation:

B becasue 30 isn't 16 times 2. It would have to be 32.

Answer:

100m

Step-by-step explanation:

First, find the area of one triangle. Use l*w/2 to do that.

10*5=50

50/2=25

Multiply this by 4 to get the total area

25*4=100

Have a good day!

Answer:

1. B. point B.

2. C. point C.

3. C. point C.

Step-by-step explanation:

1. In order to find the graph's y-intercept, we need to locate the point where the line crosses the y-axis. This will always happen at x=0, therefore, the y-intercept is located at point B (0,-4)

2. In order to find the x-intercept, we need to find the point where the line crosses the x-axis. This will generally happen when y=0, so that will be point C (2,0)

3. In order to find the graph's zero, we need to find the point where y=0. In other words, the graph's zero is the point where the function is equal to zero (the x-intercept) so this will br point C again (2,0)

Answer: 300

Step-by-step explanation:

Let the number be represented by x.

Therefore, based on the information given in the question, this can be expressed as:

36% of x = 108

36/100 × x = 108

0.36 × x = 108

0.36x = 108

x = 108/0.36

x = 300

Therefore, the number is 300

Answer:

[tex](3,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.