Bruno claims that the solution to the linear equation −3(2x+6)+25=1 is x=1. He shows the steps below to justify his solution.

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:4

Step-by-step explanation:8x4=32

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

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: 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:

B

Step-by-step explanation:

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.

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:i don’t really k ow but i need points to ask questions

Step-by-step explanation:

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:

true

Step-by-step explanation:

hopefully this helps :)

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:

x= -5

Step-by-step explanation:

Answer:

total charge = $ 16.52

refer to the Attachment please :)

hope this helps you ^^"

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:

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:

0.80

Step-by-step explanation:

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

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:

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:

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:

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:

45.99x.94=P

Step-by-step explanation:

Answer:

5 miles

Step-by-step explanation:

To answer this question, use the following:

According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:

[tex]a^2+b^2=c^2[/tex]

Thus plugging in 3 for a and 4 for b:

[tex]c^2 = 25[/tex]

[tex]c=5[/tex]

Answer: A, $2,100

Step-by-step explanation:

2000x1.05=2,100

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:

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:

100% of 600 is 600

Step-by-step explanation:

Answer:

600 is the correct answer

Step-by-step explanation:

thanks