2
The height in meters of a projectile involves the object's initial height,
upward velocity, and acceleration because of gravity. If the equation
y =- 9.8t + 109.7t + 7.4 models the number of meters, y, a toy rocket
is above the ground t seconds after being launched, what does the 7.4
represent?

Answers

Answer 1

Answer: Initial height before launch

Step-by-step explanation:

Given

The equation [tex]y=-9.8t+109.7t+7.4[/tex]  the height of toy rocket after t sec

when the rocket is launched, time is [tex]t=0[/tex]

Substituting 0 for [tex]t[/tex] in the equation

[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]

Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.


Related Questions

please simplify

4(57ab)⁰

no links, answer quickly,please​

Answers

Answer:

4

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Then

4[tex](57ab)^{0}[/tex] = 1 and

4[tex](57ab)^{0}[/tex] = 4 × 1 = 4

Answer:

4

Step-by-step explanation:

since 57ab has power 0 it is equal to 1

1×4 is 4

How many liters of 10% silver iodide mixed with 9 liter of a 4%silver iodide solution to get 6% solution

Answers

Answer:

The correct answer is "4.5 liters". A further explanation is provided below.

Step-by-step explanation:

Let the solution needed be "x".

then, according to the question,

⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]

By solving the above expression, we get

⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]

⇒                [tex]0.04 x=0.54-0.36[/tex]

⇒                [tex]0.04x=0.18[/tex]

⇒                      [tex]x=\frac{0.18}{0.04}[/tex]

⇒                         [tex]=4.5 \ liters[/tex]

Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot A
in simplest radical form using a rational denominator.

Answers

68| is the CSC and the angle of a

The exact value of cot A will be 0.857.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.

Then the value of angle A will be

csc A = √85 / 6

1 / cos A = √85 / 6

cos A = 6 / √85

A = 49.4°

Then the exact value of cot A will be

cot A = cot 49.4°

cot A = 0.857

The exact value of cot A will be 0.857.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

I NEED HELP PLEASE IT WOULD HELP ME ALOT

Answers

Answer:

Step-by-step explanation:

21 is the side opposite the angle you want.

67 is the hypotenuse. Those two sides define the Sin

Sin(theta) = opposite / hypotenuse

Sin(theta) = 21 / 67

Sin(theta) = .313432

theta or x = sin-1(0.313432)

x = 18.27

Sorry, I must have hit the wrong key the first time.

Answer:

18.27˚

Step-by-step explanation:

what type of polynomial is this 5x2-x+4

Answers

Answer:

Step-by-step explanation:

It is a trinomial because the given polynomial has three terms

Someone help me with this one

Answers

Answer:

Subtract 1/3 from 2/3 dont forget to add the variable h!

1/3h + 11 = 8

-11            -11

1/3h = -3

Now we multiply by 3 on both sides

H = -9

h = -9 tell me if you need me to do the work

What is the k’s meaning in k over 5 = 5

Answers

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

Simplify: -10m + 2m4 – 13m – 20m4

Answers

Answer:

-23m-18m^4

Step-by-step explanation:

-10m+2m^4-13m-20m^4

(-10m+-13m)+(2m^4-20m^4)

-23m+-18m^4

-23m-18m^4

If this helps please mark as brainliest

What is the equation of the line that passes through the points (4,-1 ) and (-7,4 )?

Answers

Answer:

[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]

Let the equation of line passes through the points A ( 4 , - 1 ) and B ( - 7 , 4 ) . Let A ( 4 , -1 ) be ( x₁ , y₁ ) & B ( - 7 , 4 ) be ( x₂ , y₂ )

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

Using two - point form of the equation of straight line , we have :

[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]

- Plug the values :

[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]

[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]

[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]

[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]

[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]

[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]

♕ Hence , 5x + 11y - 9 = 0 is the required equation of the line.

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Which of the following are equations for the line shown below? Check all that
apply.
(-3,6)
(-2,2)
5
O A. y-2=-4(x + 2)
U
B. y + 3 = -4(x-6)
O C. y-6 = -4(x + 3)
D. y=-4x-6

Answers

Answer:

D. y = -4x - 6

Step-by-step explanation:

→ Work out gradient of line

[tex]\frac{2-6}{-2--3} =\frac{-4}{1} =-4[/tex]

→ Write into y = mx + c format

y = -4x + c

→ Substitute ( -2 , 2 ) into the equation to find c

2 = 8 + c

→ Minus 8 from both sides

-6 = c

→ Write full equation y = -4x - 6

Find the area of the triangle



Answers

Answer:

12 units2

Step-by-step explanation:

(6x4) /2 =12

PLS HELP ILL GIVE BRAINLIEST

Answers

Answer:

answer is 8

Step-by-step explanation:

take Lcm of 8 and 32

Answer:

8

Step-by-step explanation:

Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?

Answers

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

A garden hose is leaking 1 liter of water every 1/8 hour. How many liters of water will it leak in 3 ¾ hours? *

Answers

1 hour is 60 minutes
Therefore, 1/8 of 60 is 7.5, meaning, 1 litre of water is leaked every 7.5 minutes.
3¾ hours is 60 x 3 + 60/4
= 180 + 15
= 195 minutes
As 3 ¾ hours is 195 minutes and 1 litre is leaked every 7.5 minutes, we have to divide 195 by 7.5.
195/7.5 = 26

Therefore, the garden hose will leak 26 litres in 3 ¾ hours.

If the information given below represents an arithmetic sequence


a1= 49 and a8= 14 find:


d =


a27=



WILL AWARD BRAINLIEST

Answers

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.

The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?

Answers

2789 dimensions because it’s simple u multiple them

pleasee helppp i have 15 assignments to finish plus a final exam in 4 hours !!

Answers

f(x) = square root of (-7 + 2) - 6

f(x) =square root of (-5) - 6

f(x) = 2.236 = 2.2 - 6

f(x) = -3.8

F(x) = √x+2 -6

F(x) = √7+2 -6

F(x) = 3-6

F(x) = -3

PLS HELP I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

[tex]6 {x}^{2} {y}^{3} - 2x + 10 \\ when \: x = 5 \: y = - 3 \\ 6( {5})\: ^{2} ( { - 3})^{3} - 2(5) + 10 \\ 6 (25)( - 27) - 10 + 10 \\ = - 4050[/tex]

What is the range for 42 42 52 53 58 58 61

Answers

Answer:

range would be 19

Step-by-step explanation:

Answer:

I have to say -282

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.

Answers

true true true true true true true

Answer:

false

Step-by-step explanation:

3(3+2)(3-1) is not =0

The factor of n(n+2)(n-1) = 1

Can someone help me out, I will give out brainly.

Answers

Answer:

370

Step-by-step explanation:

Area of the entire thing is 20*20 = 400

You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)

Area of triangle:

First find the height using pythagorean theorem

5*12 = 156

Then divide by two: 60/2= 30

400-30 = 370

what is 60 written as a product of a factor greater than 1?

Answers

Answer:

I think the answer to your question is 12?

Step-by-step explanation:

I hope this helps, have a nice day

Which statement is true? 1. Parallelism are frameworks 2. A square is always a rhombus 3.A rhombus is always a square 4. A rectangle is a trapezoid

Answers

Answer:

2

Step-by-step explanation:

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  

where p and q are the two diagonals  

Volume of a pyramid = 1/3 x ( length base x height)

Product of two integers is -6 and There sum is 1​

Answers

Answer:

3 and -2

Step-by-step explanation:

xy = -6

x + y = 1

let 'x' = y-1

y(y-1) = -6

y² - y + 6 = 0

(y-3)(y+2) = 0

y = 3 and -2

helppppppp please (3)

Answers

Answer:

please provide an image so we know what to solve

THERE ISNT ANYTHING HERE BRSTIE

What are the possible vaules of x it (4x-5)2=49?

Answers

[tex]\boxed{The\:value\:of\:x\:is\:7.375.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375[/tex]

Therefore, the value of x is 7.375.

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verifed.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

The possible value would be 7.375 let me know if it works!

The function f(x) = { x + is used to complete this table. Which statements are true of the given function?
(-1,1) (0,3/2) (1,2) (2,5/2) ​

Answers

Answer:

i don't know

Step-by-step explanation:

can you explain? thank you

There are 12 sixth graders, 11 seventh
graders, and 13 eighth graders on a
soccer team. The coach randomly selects
one student to collect all of the soccer
balls. In how many ways can choosing
not an eighth grader occur?

Answers

Answer: 1

Step-by-step explanation:

because there not the only ones on the team

Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)

Answers

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-

Answers

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

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