A model rocket is launched directly upward at a speed of 15 meters per second from a height of 10 meters. The function f(t)=-4.9t^ 2 +15t+10. models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket reach its highest pointRound to two decimal places.

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Answer:

monthly income of 4,000

Step-by-step explanation:

monthly income=m

.20m=800

m=4,000

Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years

Step-by-step explanation:

cosθ = 15/17 and sinθ = -8/17

So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8

Answer:

i

Step-by-step explanation:

dont know

Answer:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]

Where θ is in QI.

And we want to determine sin(2θ).

First, note that since θ is in QI, all trig ratios will be positive.

Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.

Then by the Pythagorean Theorem, the opposite side to θ is:

[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]

So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.

We can rewrite as expression as:

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Using the above information, substitute. Remember that all ratios will be positive:

[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Answer:

y≥1 is the answer :)

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]

[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]

Answer:

The slope is -2

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m

 is the slope and b is the y-intercept.

[tex]y = mx + b[/tex]

Reorder 4 and -2x.

[tex]y = - 2x + 4[/tex]

Using the slope-intercept form, the slope is −2.

[tex]m = - 2[/tex]

Hence, the slope is -2.

The equation y = 4- 2x has a slope of -2.

The pitch of a direct equation is the measure of the term containing the independent variable( in this case," x").

In the equation y = 4- 2x, the measure of "x" is-2. thus, the pitch of the equation is-2.

We know equation is in slope-intercept form (y = mx + b), where "m" represents the slope.

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

In this case, for every unit increase in x, the value of y diminishments by 2 units. This indicates a downcast pitch.

In summary, the equation y = 4- 2x has a slope of -2.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ6

Answer:

Step-by-step explanation:

Answer:

Diameter- 60.42^2

Answer:

7/20

Step-by-step explanation:

You have to add 1/4 and 2/5 which gets you 13/20. And since the glass would be full, 20/20 is full, so then you have to subtract 20/20 from 13/20 which gives you 7/20.

Answer:

x = 1

y = 9

Step-by-step explanation:

The diagonals of the parallelogram bisect each other. Therefore:

✔️2x + 13 = 15

2x + 13 - 13 = 15 - 13

2x = 2

2x/2 = 2/2

x = 1

✔️5y - 36 = y

5y - 36 - 5y = y - 5y

-36 = -4y

-36/-4 = -4y/-4

9 = y

y = 9

Answer:

Step-by-step explanation:

Answer:

ok try it now.

Step-by-step explanation:

Answer:

this is 4(2x−3)=4(2x)−4(3)distributive property

Answer:

The Distributive Property

Step-by-step explanation:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b + c) = ab + ac. The division property of inequality states that two unequal values divided by a positive number retain the same relationship.

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Hope I Helped, Have A Great Day!

                    -Aadi

it is the answer of matrix AB

Answer:

107 degrees

Step-by-step explanation:

First, subract 180 from 135 to get the angle for DFE, which is 45 degrees.

Then, add 45 to 28, which equals to 73 degrees.

Finally, subtract 180 from 73 to get the angle for DEF, which is 107 degrees.

Answer:

107

Step-by-step explanation:

Answer:

(−3,6)

(−2,3)

(−1.2)

(0,3)

(1,6)

Step-by-step explanation:

Firstly, solve 38C15.

Then solve 42C12.

Compare your answers.

The goal here is to see if 38C15 = 42C12.

Here is the formula:

nCr = n!/(r!(n - r)!

Go for it.

Answer:

191.0

Step-by-step explanation:

Answer: 33.33%

This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150

Answer:

The answer would be y=-2x

Answer:

Equation y =2x represent the direct variation .

Step-by-step explanation:

Given : Equations  y = 2x  , y = x + 4  , y = 1/2x  , y = 3/x .

To find  : Which equation represents a direct variation.

Solution : We have given that equations

Direct variation : The statement "y varies directly as x," mean  y and x always have the same ratio: k = .

Where k is constant of variation ,

We can write it as  y = kx  .

We can see that  in equation y = 2x  is the same as the above equation

On comparing k = 2.

Therefore, Equation y =2x represent the direct variation .

Hope it helps pls give me brainliest if it is. Thanks xx Happy Easter!

Answer:

Someone would need to see the units and the picture that would be attached to this question.

Step-by-step explanation:

Answer:

120 m

Step-by-step explanation:

.

Answer:

length = 20m

width = 10m

Step-by-step explanation:

perimeter = 2 (length + width)

length = 2 * width = 2w

perimeter = 2 (2w +w)

perimeter = 2(3w)

60m = 6w

(divide both sides by 6)

60/6 = w

width = 10m

length = 2w

so length = 2 * 10 = 20m

Answer:

6

Step-by-step explanation:

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Answer: 6

Explanation: least common multiple

I hope this helped!

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