When an object is projected into the air, it follows the path of a parabola. The equation always has the
same form, but the numbers change based on the data for the projectile:
If a cannonball is launched from a height of 29.4 m above the ground with an initial velocity of 24.5 m/s,
then the equation that models its path would be h(t) =
-4.9+7 + 24.5t + 29.4. This graph shows its
path: What is the height of the cannonball before it is launched,
at t=0? Remember to include units

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

An item in one space is mapped to another using a function known as a transformation in mathematics. A geometric shape or other mathematical object is altered by this method by shifting its location, direction, or size. Geometric qualities including symmetry, congruence, and resemblance are studied using transformations. Objects are frequently transformed through translations (moving), rotations (turning), reflections (flipping), and dilations (resizing an object). In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

given

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

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Answer: 90°

Step-by-step explanation:

(x°+90°)=180°(being the sum of angles of the triangle)

or, x°= 180°-90°

or x°= 90°

Answer:

The answer is A. {2,4}

Step-by-step explanation:

I took the test on edmentum. 100%

Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

Answer: 18

Step-by-step explanation:

288 / 16 = 18

Answer:

C) 18 m

Step-by-step explanation:

Answer:

6x=46.50

Step-by-step explanation:

Using relations in a right triangle, it is found that the height of the antenna is of 10 m.

The relations in a right triangle are given as follows:

In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:

[tex]\tan{17^\circ} = \frac{h}{29}[/tex]

[tex]h = 29\tan{17^\circ}[/tex]

[tex]h = 8.87[/tex]

Adding the eye height:

h = 8.87 + 1.51 = 10.38 m.

Rounding to the nearest meter, the height of the antenna is of 10 m.

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Answer:

9

Step-by-step explanation:

I just took the test.

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -9      y_1= -3  

     m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

Answer:

its (3x-5)

Step-by-step explanation:

Answer:

C. (3x - 5)

Step-by-step explanation:

1. Find a solution pair that gives the sum of b (5):

-10 + 15 = 5

2. Break the expression into groups:

(6x² - 10x) + (15x - 25)

3. Factor out the common factor in each group:

2x(3x - 5) + 5(3x - 5)

4. Factor out the common pair (3x - 5) using the distributive property:

(3x - 5)(2x + 5)

hope this helps!

Answer:

(-5)*2 - 12

Step-by-step explanation:

First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .

If two integers have same sign, add and the result will have the sign of the both integers.

(-5)*2 - 12 = -10 - 12

                = -22

The solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] by using the properties of the logarithm is 5/4.

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that

[tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex]

Using properties of a logarithm, we get

[tex]\rm log x + log y=logxy[/tex]

[tex]\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8[/tex]

on comparing

10/x = 8

x = 10/8

x = 5/4

Hence, the solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] is 5/4.

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Answer:

C

Step-by-step explanation:

C) 5/4

Answer:

c and d

Step-by-step explanation:

hope it helps bud

Answer:

its c

Step-by-step explanation:

think about it for a second

When Tallulah fell asleep, the family had already traveled 57% of the total trip.

A percentage is a way of expressing a number as a fraction of 100. It is often used to describe proportions, ratios, or rates. For example, if 20 out of 100 people in a room are wearing red shirts, we can say that 20% of the people are wearing red shirts.

If Tallulah slept for the last 129 miles of the trip, it means that the family had already traveled 300 - 129 = 171 miles before she fell asleep.

To calculate the percentage of the total trip that they had traveled when Tallulah fell asleep, we can use the following formula:

Percentage = (Part ÷ Whole) x 100

Where "Part" is the number of miles the family had traveled before Tallulah fell asleep (171 miles) and "Whole" is the total length of the trip (300 miles).

Percentage = (171 ÷ 300) x 100

Percentage = 0.57 x 100

Percentage = 57%

Therefore, when Tallulah fell asleep, the family had already traveled 57% of the total trip.

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Answer:

salary: $40,000÷18% = $ 222. 222 22

222 222 22÷40,000×100%

= 555.56%

A fraction/probability is created by taking what we want and putting that over the total.

In this case, we want yellow out of the total number of marbles.

Yellow Marbles = 1

Total Marbles = 6 + 1 + 2 + 3 = 12

Probability/Fraction = 1 / 12

Hope this helps!

Answer:

Step-by-step explanation:

Area of the base = 1/2 * B * h

B: 12.9

h = 10.3

Area of the face = 1/2 * 12.9 * 10.3

Area of the face = 66.435

Volume = Triangle * height

Triangle = 66.435  yd^2

Height = 15 yd

Volume = 66.435 * 15

volume = 996.525

I think this should be rounded to one decimal place: 996.5

The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

Your computer sends a request for the file to a Web server, and the Web server sends back a response.

For one particular Web server, the time X (in seconds) after the start of an hour at which a randomly selected request is received has the uniform distribution shown in the figure.

The probability of finding value less than the X is,

[tex]P(X < x)=\dfrac{x-a}{b-a}[/tex]

Here, a and b are two bonds of uniform distribution.

The probability distribution of X can be modeled by a uniform density curve on the interval from 0 to 3600 seconds, as shown in the given figure.

The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour has to be found out. Thus,

[tex]P(X < x)=\dfrac{300-0}{3600-0}\\P(X < x)=0.0833\\P(X < x)=8.33\%[/tex]

Thus, the probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

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Answer:

3

Step-by-step explanation:

use the pythagoreum therory

The correct answer is: (3x + 1)(3x - 1)(x + 4)

Answer:

25%

Step-by-step explanation:

STEP 1:

Find the difference between the two values

e.g  60-45=15

STEP 2

Divide the difference by the original value

e.g  15/60=1/4

STEP 3

Convert 1/4 into a percentage

e.g  1/4=0.25=25%

Answer:

A

Step-by-step explanation:

Usually when purchasing a house you refer to the bedroom then the bathroom then potentially your garden width/height or you garage

16:

4b(5b-3)-2(b²-7b-4)

= 20b²-12b-2b²+14b+8

=18b²+2b+8

18:

3m(3m+6)-3(m²+4m+1)

= 9m²+18m-3m²-12m-3

=6m²+6m-3

20:

4x(3x+2)-3x×2x

=12x²+8x-6x²

=6x²+8x

Answer:

B

Step-by-step explanation:

When multiplying exponents with the same base, you add the powers together.

In B, that is exactly what they are showing when they do:

[tex]2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]

Answer:

Step-by-step explanation:

The marked angles have a sum of 90°. This lets you find the unknown angle and the value of x.

  42° +3x° = 90°

  3x° = 48° . . . . . . . . . subtract 42°. This is the value of the unknown angle

  x = 16 . . . . . . divide by 3°

__

The value of x is 16.

The measure of the missing angle is 48.

Answer:

1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:

share price=D1/(r-g)

share price=$500

D1=expected dividend one year from now=$4

r=cost of equity=unknown

g=constant growth rate=9%

$500=$4/(r-9%)

$500*(r-9%)=$4

r-9%=$4/$500

r=($4/$500)+9%

r=9.8

the Cost of Equity for the project is 9.8%

2. Compute the relevant cost of debt for this project is 5.53%

Market Value= 1,150

Face Value= 1,000

Term= 5 years, 10 semi-annual periods

Coupon Rate= 9%, 4.5% semi-annual rate

Tax Rate= 30%

N=10(semiannual coupons in 5 years)

PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)

PV=-1150(current market price)

FV=1000(face value of the bond is $1,000)

CPT(press compute)

I/Y=2.762766%(semiannual yield)

annual yield=2.762766%*2

annual yield=5.53%

3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights

WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)

cost of equity=9.80%

the market value of equity raised=shares issued*market price of the share

the market value of equity raised=80,000*$500

the market value of equity raised=$40 million

weight of equity=market value of equity/total amount raised

weight of equity=$40 million/$100 million

weight of equity=40.00%

weight of debt=1-weight of equity

weight of debt=1-40.00%

weight of debt=60.00%

after-tax cost of debt=bond yield*(1-tax rate)

the after-tax cost of debt=5.53%*(1-30% )

the after-tax cost of debt=3.87%

WACC=(9.80%*40.00%)+(3.87%*60.00%)

WACC= 6.2426% or 6.24%

Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place

4. Determine the initial cash flow for the project =$100 million

The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project

Plant and machinery= $80 million

Networking capital = $20 million

Total Initial Cash Flow= $100 million

5. Determine the earnings before taxes for years 1 through 5

Year

1 2 3 4 5

Revenue

120,000,000 120,000,000 120,000,000 120,000,000 120,000,000

Expenses

(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)

Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)

EBT

20,000,000 25,000,000 28,750,000 31,562,500 33,671,875

Step-by-step explanation:

5. Depreciation schedule:

Year 1 = 80 × 25% = 20

Year 2 = (80-20) × 25% = 15

Year 3 = (80-20-15) × 25% = 11.25

Year 4 = (80-20-15-11.25) × 25% = 8.4375

Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125

EBT = revenue - Expenses - depreciation

Year 1 = 120 - 80 - 20 = 20 Million

Year 2 = 120-80- 15 = 25 Million

Year 3 = 120-80- 11.25 = 28.75 Million

Year 4 = 120-80- 8.4375 = 31.5625 Million

Year 5 = 120-80- 6.328125 = 33.671875Million

The cost of equity of the project through the use of Gordan's formula will be 9.87%.

It should be noted that the price of stock is computed thus:

= Previous dividend + Growth / Cost of equity - Growth

Po = Do + g/Ke - g

500 = 4 + 9%/Ke - 9%

500 = 4 + (0.09 × 4) / Ke - 9%

500 = 4.36/Ke - 9%

500(Ke - 9%) = 4.36

500Ke = 4.36 + 45

500Ke = 49.36

Ke = 49.36/500

Ke = 9.87%

The cost of debt will be:

= Interest rate (1 - Tax rate)

= 9% × (1 - 30%)

= 9% × 0.7

= 6.30%

The amount of the cost of debt will be:

= $1000 × 6.30%

= $63.00

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Answer:

  B.  across the y-axis

Step-by-step explanation:

The line of reflection is the perpendicular bisector of the segment between the orginal point and its image. If you plot the two points, you see that the y-axis is that bisector.

The point was reflected across the y-axis.

__

Additional comments

Changing the sign of the x-coordinate means a point that was some distance on one side of the y-axis is now that same distance on the other side. That is, the y-axis is the line of reflection when the sign of x changes.

Similarly, the x-axis is the line of reflection when the sign of y changes.

  (x, y) ⇒ (-x, y) . . . . reflection across the y-axis

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

__

Changing the signs of both coordinates (in either order) is effectively a reflection across the origin. There are other names for this reflection, too.

  (x, y) ⇒ (-x, -y) . . . . reflection across both axes, across the orign, rotation 180°

Use the Distributive Property, which states the following:-

[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]

where

we distribute a by multiplying it times b and c

In this case, we should distribute 9:-

9(3x-12)+9x

27x-108+9x

Combine Like Terms:-

[tex]\longrightarrow\sf{36x-108}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

C. 36x + 108

Step-by-step explanation:

Our expression :

Expanding :

#1) Open the bracket applying the distributive property.

#2) Combine like terms.

Answer:

Area of circle=πr^2

Step-by-step explanation:

Area of circle=πr^2

=22/7*21^2

=22/7*441

=9702/7

=1386 sq.inch

Answer:

x=12y + 10 or even just entirely solved... 82=12(6) +10

Step-by-step explanation:

Answer:

ImnotI'm not sure

this is the same im on

Step-by-step explanation: