help for (40 points) this is a k 12 thing

The height of the toy is an illustration of the height function

The given parameters are:

The function of the height is calculated as:

h(t) = -16t² + Vot + H

This gives

h(t) = -16t² + 200t + 50

Hence, the velocity function is h(t) = -16t² + 200t + 50

In (a), we have:

h(t) = -16t² + 200t + 50

Differentiate

h'(t) = -32t + 200

Set to 0

-32t + 200 = 0

Subtract 200 from both sides

-32t = -200

Divide both sides by -32

t = 6.25

Substitute 6.25 for t in h(t)

h(6.25) = -16 *6.25² + 200 * 6.25 + 50

h(6.25) = 675

Hence, the time to reach the maximum height is 6.25 seconds and the maximum height is 675 feet

This is represented as

h(t) >300

So, we have:

-16t² + 200t + 50 > 300

Subtract 300 from both sides

-16t² + 200t - 250 > 0

Using a graphical calculator, we have:

t = 11.09s and t = 1.41 s

Hence, the rocket will be at a height more than 300 at 11.09s and 1.41 s

This means that

h(t) = 0

So, we have:

-16t² + 200t + 50 = 0

Using a graphical calculator, we have:

t = 12.75

Hence, the rocket will hit the ground at 12.75s

Read more about height function at:

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Answer:

scale factor = 6

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, shape B to shape A

base of shape A = 1 , base of shape B = 6 , then

scale factor = [tex]\frac{6}{1}[/tex] = 6

After finding the ratio of their corresponding sides of triangles the scale factor we get is 6.

The difference in scale between an original item's scale and a new object that is its representation but is larger or smaller is known as a scale factor.

From figure

For small triangle:

base = 1 units

For large triangle:

base = 6 units

Now the scale factor = ratio of adjacent sides

Scale factor = (Base of large triangle)/(Base of small triangle)

Scale factor = 6/1

Scale factor = 6

Hence,

The scale factor is 6.

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Answer:

option A

Step-by-step explanation:

Answer os option a

Step-by-step explanation:

[tex]0.07 \times x = 441[/tex]

[tex]x = \frac{441}{0.07} [/tex]

[tex]x = 6300[/tex]

Answer:

  0.34

Step-by-step explanation:

You know from the empirical rule that 68% of the area of the normal distribution lies in the range z=-1 to z=1. The distribution is symmetrical, so half that area lies in the range z = -1 to z = 0.

  area = 68%/2 = 34% = 0.34

__

Your calculator can tell you the same thing.

Answer:

Step-by-step explanation:

The altitude of each plane can be expressed by an equation that adds the initial altitude and the product of time and its rate of climb.

  plane A: y = 4057 +60.75t

  plane B: y = 5000 +40.25t

__

We want to find the time when their altitudes are the same:

  4057 +60.75t = 5000 +40.25t . . . . equate the expressions for y

  20.50t = 943 . . . . . . . . . subtract (40.24t +4057)

  t = 46 . . . . . . . . . . . . divide by the coefficient of t

At t=46, the altitude of the planes will be ...

  y = 5000 +40.25(46) = 5000 +1851.5 = 6851.5

The planes are at the same altitude after 46 seconds.

Both planes will be at an altitude of 6851.5 feet.

Answer:

(x−1)43x3−8x2+10 can be resolved into partial fraction as x−1A+(x−1)2B+(x−1)3C+(x−1)4D

So , 3x3−8x2+10=A(x−1)3+B(x−1)2+C(x−1)+D

Put x=1 , we get 3−8+10=D

D=5

Comparing the coefficient of x3 on both sides we get , A=3 .

So equation reduces to 3x3−8x2+10=3(x−1)3+B(x−1)2+C(x−1)+5

Now compare the constant on both sides , 10=−3+B−C+5

=>8=B−C - (1)

Comparing the coefficent of x2 we get −8=−9+B

=>B=1

So , put B=1 in (1) , we get C=−7

Therefore , (x−1)43x3−8x2+10=x−13+(x−1)21−(x−1)37+(x−1)45

Step-by-step explanation:

hope it helps

Answer:

$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)

Step-by-step explanation:

Compound Interest Has a Specific Formula:

This case is Exponential Growth.

Formula: y= ab^x

You need to set up the equation.

First we need to define the rate of growth meaning what do you have to do for the 6.5%.

You need to do 100% + 6.5% = 106.5%

You need to convert the percent to a decimal which will be 1.065

Now we need to start plugging things into our formula to solve.

Your initial Starting amount was $3000

So you need to have y=3000(b)^x

We now know that the rate of growth is 1.065 so the b would be 1.065

y=3000(1.065)^x

Our power to x is our 3.5 years.

Our Equation now:

y=3000(1.065)^3

Now you need to use a calculator to do this due to the amount of decimals and digits.

Remember pemdas when doing this!!!

The answer should result to $3,623.84 but if rounded then: $3,623.85

Answer:

Formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' represents the radius which is being squared.

Plug in the radius into this formula:-

A = π[tex]r^{2}[/tex]

A = 3.14(4^2)

A = 3.14(16)

A = 50.24 centimetres is the area for this circle.

Answer:

Step-by-step explanation:

No solution; 3x+y-1 =/ 0

Answer:

that's a computer I'm sorry di ko po Alam

Step-by-step explanation:

ty sa points

Answer:

[tex]0.83[/tex]

Step-by-step explanation:

[tex]6.64 \div 8[/tex]

[tex]0.83[/tex]

Answer:

The answer should be C.)0.83, hope this helps.

Answer:

1/36

Step-by-step explanation:

The chance of you rolling a 5 is 1/6

While the chance of you rolling a 3 is a 1/6

If you want both a 5 then a 3 then you multiply the fractions

1/6 * 1/6 = 1/36

Answer:

Yes and yes

Step-by-step explanation:

Answer:

There are 1.07 non winners in group A for every 1 non winner in group B

Or: 1.07:1

Or: 7% more non winners in group A

Step-by-step explanation:

Group A:

765*3/5 = 459 non winners

Group B:

716*3/5 = 429 non winners

Final Calculation:

459/429 = 1.07

If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a diameter of 6 cm and a height of 3 cm.

Then the surface area of the cylinder will be

[tex]\rm SA = \pi d h[/tex]

We have

d = 6 cm

h = 3 cm

Then the surface area will be

[tex]\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55[/tex]

More about the cylinder link is given below.

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Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.

The other parameters are given as follows.

[tex]\overline{x} = 43, s = 6, n = 20[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78[/tex]

The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer: 9 sides

Step-by-step explanation:

      If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.

180°(n-2) = 1,260°

n - 2 = 7

n = 9

Answer:

Daughter is now 10 The mother is 30

Step-by-step explanation:d

d=daugter

5d=mother

5d = 2d +5 +10

3d =15

d=5

5 years ago    d=5  m=25

now                  d=10 m=30

in10 years        d=20 m=40

Step-by-step explanation:

please mark as brainliest please

Answer:

A.no solution

Step-by-step explanation:

[tex]12t- 4 - 7t = 5t - 4[/tex]

[tex]12t - 7t = 5t - 4[/tex]

[tex]5t = 5t - 4[/tex]

[tex]5t - 5t = - 4[/tex]

[tex]0 = - 4[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair

And since they for straight line, their Angle sum will be equal to 180°

that is :

[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]

[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]

Answer:

y = 38°

Step-by-step explanation:

We know that the angles in a straight line are added up to 180°.

So,

90 + y + 52 = 180

142 + y = 180

y  = 180 - 142

y =  38°

Step-by-step explanation:

First find out the value of X and second find the value of Y and where is figure

Answer:

true because there are going to be many heights already

Step-by-step explanation:

i it's true

this is because already there will be

so many heights