PLEASE HELP

Write the equation of the line that is perpendicular to y = 3x - r and that has the same y - intercept .

WILL MARK BRAINLIEST

Height at an instance of time is given by :

h(t) = -4( t - 2 )² + 5     .....1

Differentiating above equation with respect to t .

[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]

Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .

8( t - 2 ) = 0

t = 2

Putting value of t = 2 in given equation, we get :

h( 2 ) = -4( 2 - 2 )² + 5

h( 2 ) = 5 m

Therefore, maximum height rocket can reach is 5 m.

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Given

3x - 5(x - 5) = - 7 + 2x + 12 ← distribute and simplify left side

3x - 5x + 25 = 2x + 5

- 2x + 25 = 2x + 5 ( subtract 2x from both sides )

- 4x + 25 = 5 ( subtract 25 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

In one full rotation/revolution, a point on the edge travels a distance equal to the circumference of the gyroscope, or 2π (18 cm) = 36π cm. Convert the angular speed, 36π cm/rev, to linear speed:

(36π cm/rev) • (35 rev/min) = 1260π cm/min ≈ 3958 cm/min

Answer:

1,680

Step-by-step explanation:

n!/(n-r)!

in this case n= 8 and r= 4

so 8!/(8-4)! = 1,680

The possible permutation of 8 objects taken at 4 a time will be 1680.

The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.

The number of possible permutations of 8 objects taken 4 at a time will be:-

[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]

[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]

[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]

Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.

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Answer: x=−0.518396

Step-by-step explanation:

Answer:

[tex] x=\ln (4.4) - 2 [/tex]

Step-by-step explanation:

[tex] 5e^(x+2)-8=14 [/tex]

[tex] 5e^(x+2)=22 [/tex]

[tex] e^(x+2)=4.4 [/tex]

[tex] \ln [e^(x+2)]=\ln 4.4 [/tex]

[tex] x+2=\ln 4.4 [/tex]

[tex] x=\ln (4.4) - 2 [/tex]

Answer:

8 cups max

Step-by-step explanation:

3/4 cup = 1 recipe

6 2/3(20/3) cup =  20/3 x 1

                                  3/4

= 20 / 3

   3     4

= 20 x 4

   3     3

= 80/9

= 8 cups max

the 9th cup will not be enough.

Answer:

z=(84-p(51+z))/d

Step-by-step explanation:

Answer:

14776.8

Step-by-step explanation:

Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do

x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley

Answer:

y=71

x=109

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you higher the hight than there is more potential energy and kinetic energy in the end

Answer:

how am i supposed to make a graph on that

Step-by-step explanation:

Answer:Here

Step-by-step explanation:

Answer:

x ≈ 63.5°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = x°

Opposite Leg = 17

Hypotenuse = 19

Step 2: Solve for x

Answer:

I want to say that X= 62.8 or 63  17/19= 0.89 arcsin= 62.8 rounded 63

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

vertex form is y=a(x-h)^2+k

Answer:

True.

Step-by-step explanation:

The quadratic equation [tex]y=2(x+3)^2-1[/tex], is in fact written in vertex form.

Vertex Form = [tex]y=a(x-h)^2+k[/tex]

[tex]a=amplitude[/tex]

[tex]h=horizontal shift[/tex]

[tex]k=vertical shift[/tex]

Answer: A) 1.8*10^10

Step-by-step explanation:

Multiply the constants together, and multiply the multiples of 10 together.

6*3 = 18

10^4 * 10^5 = 10^9

which gives you 18 * 10^9, but that isn't in scientific notation, because 18 isn't a number between 1 and 10

so you get 18 * 10 ^9

which is equal to 1.8*10^10

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

so whats the question then?

Step-by-step explanation:

Answer:

N<5

Step-by-step explanation:

Check out the pic

Answer:

Sheet metal costs $20 per square foot.

Step-by-step explanation:

7.6x - 2.3x = 106

We are finding the value of x.

5.3x = 106

Divide both sides by 5.3.

x = 106 ÷ 5.3

x = 20

                                       Answer and Explanation

__________________________________________________________

__________________________________________________________

Sheet metal costs 20 dollars per square foot, and we can figure this out by multiplying the 20 by the numbers and subtracting them.

__________________________________________________________

[tex]7.6x-2.3x=106[/tex] but what does x equal? ( 20 )

[tex]7.6\cdot20[/tex] = [tex]152[/tex]

[tex]2.3\cdot20[/tex] = [tex]46[/tex]

__________________________________________________________

[tex]152-46[/tex] = [tex]106[/tex]

Which is the same in the question, so x = 20.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

point b

Step-by-step explanation:

took the test

Answer: point b

Step-by-step explanation: because the mans who asked the question is a legend

Answer:

$4000

Step-by-step explanation:

Given that :

Volume of cube = 8000 ft³

Charge per ft² = $10

Recall, volume of a cube = a³

Where a = edge

Hence,

a³ = 8000

Take the cube root of both sides

a = 20

Hence,

Volume = 20 * 20 * 20

The Area of the floor will be :

20 * 20 = 400 ft²

If charge per ft² = $10

400 ft² = ($10 * 400) = $4000

Answer:

its the first one and its 3.24

Answer:

The total cost of the shopping trip is:

$82.08

Step-by-step explanation:

The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total cost of the shopping trip?

Step 1

We find the price after the discount

The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off

Hence:

20% × $95

= $19

Therefore: $95 - $19

= $76

Step 2

We find the amount of sales tax

The sales tax is 8%

Hence:

8% of $76

= $6.08

Our sales tax = $6.08

Step 3

The total cost of the shopping trip is calculated as:

$76 + sales tax

= $76 + $6.08

= $82.08

Answer:

Step-by-step explanation:

each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys

The number of girls is 9 and the number of boys is 11.

Important information:

Using the given information, the number of girls is:

[tex]20\times \frac{45}{100}=9[/tex]

Now, subtract the number of girls from the total number of students.

[tex]20-9=11[/tex]

Therefore, the number of girls is 9 and the number of boys is 11.

Find out more about 'Percentage' here:

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Answer:

2/15

Step-by-step explanation:

Step one:

given data

sample space

1 elephant,

4 bears,

3 cats, and

2 dogs.

sample size= 1+4+3+2= 10

Required:

By selecting without replacement, the probability that she chooses a bear both times

Step two:

the first event= Pr(bear)= 4/10= 2/5

the second event, the sample size is now 9 and the number of bears is now 3

Pr(bear)= 3/9= 1/3

Hence, the probability that she chooses a bear both times

= 2/5*1/3

=2/15