A model rocket launched directly upward at a speed of 16 meters per second from a helght of 2 meters . The f(t) = - 4.9t ^ 2 + 16t + 2 models the relationship between the height of the rocket and the time after launch, t. In seconds. Which is the maximum height meters the rocket will reach Round to two decimal places Provide your answer below: meters

Answer:

Look up Trigonometry Calculator and Put in the sides it helps a lot

Step-by-step explanation:

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Answer:

Step-by-step explanation:

so we need two even intergeters that add to 70  when we multiply the bigger by 2 and add the smaller to that soooo

70= 2*y + x

but we can express x in terms of y b/c  it's a consecutive even integer soo

(b/c   x+2 = y, then x = y -2)

70= 2*y  + (y-2)  

70 = 2y + y - 2

72 = 3y

24 = y   :)  nice the bigger is 24 so the smaller is 22

70 = 2*24 + 22

70 = 48 + 22

70 = 70    nice !  

bigger = 24

smaller = 22  

:)

Answer:

bigger = 24

smaller = 22  

Step-by-step explanation:

Answer:

m = 6

Step-by-step explanation:

standard equation of a line: y = mx + b

So, the slope of this equation is 6.

Answer:

2.5 hours

Step-by-step explanation:

Time is distance divided by speed.

Therefore, you'd have to do 175/70

175/70 = 2.5

Answer:

b. 42

Step-by-step explanation:

Your trying to find the diameter since radius is r

diameter is always double of radius

Answer:

21k+9k+13, and simplified into 43k.

Step-by-step explanation:

The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)

21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.

Answer:

43k

Step-by-step explanation:

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

1200 total boxes,

1152 more boxes need to be loaded

Answer:

Step-by-step explanation:

(9x-22) + 61 + (5x-7) + 34 = 360

14x = 294

x = 21°

:::::

arc GK = 9x-22 = 167°

:::::

arc HJ = 5x-7 = 98°

:::::

arc HGK = arc GK + 61 + 34 = 262°

:::::

arc GKJ = arc GK + 34 = 201‡

Angles in a circle add up to 360 degrees.

The given parameters are:

[tex]\mathbf{GH = 61}[/tex]

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{JK = 34}[/tex]

[tex]\mathbf{KG = 9x - 22}[/tex]

The sum of angles in a circle is 360 degrees.

So, we have:

[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]

So, we have:

[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]

[tex]\mathbf{14x = 294}[/tex]

Divide both sides by 14

[tex]\mathbf{x = 21}[/tex]

GK is calculated as:

[tex]\mathbf{GK = 9x - 22}[/tex]

[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]

[tex]\mathbf{GK = 167}[/tex]

HJ is calculated as:

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]

[tex]\mathbf{HJ = 98}[/tex]

HGJ is calculated as:

[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]

[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]

[tex]\mathbf{HGJ = 262}[/tex]

GKJ is calculated as:

[tex]\mathbf{GKJ =GK + KJ}[/tex]

[tex]\mathbf{GKJ = 167 + 34}[/tex]

[tex]\mathbf{GKJ = 201}[/tex]

Read more about angles in a circle at:

https://brainly.com/question/12260532

Answer:

x=3

Step-by-step explanation:

5x - 2 = 3x +4

=> 5x - 3x = 4 + 2

=> 2x = 6

=> x = 6/2 = 3

Answer:

[tex]P(A) = 0.50[/tex]

[tex]P(B') = 0.55[/tex]

[tex]P(A' U B') = 0.775[/tex]

[tex]P(A'B') = 0.275[/tex]

Step-by-step explanation:

Given

[tex]P(A\bar B) = 40\%[/tex] --- From outlet 1 alone

[tex]P(\bar A B) = 35\%[/tex] --- From outlet 2 alone

[tex]P(AB) = 10\%[/tex]  --- From both

Solving (a): Buys from outlet 1;

This is represented as: P(A)  and the solution is:

[tex]P(A) = P(A\bar B) + P(A B)[/tex]

[tex]P(A) = 40\% + 10\%[/tex]

[tex]P(A) = 50\%[/tex]

[tex]P(A) = 0.50[/tex]

Solving (b): Does not buy from outlet 2;

This is represented as: P(B') :

First, calculate the probability that the customer buys from 2

[tex]P(B) = P(\bar AB) + P(A B)[/tex]

[tex]P(B) = 35\% + 10\%[/tex]

[tex]P(B) = 45\%[/tex]

[tex]P(B) = 0.45[/tex]

Using the complement rule, we have:

[tex]P(B') = 1 - P(B)[/tex]

[tex]P(B') = 1 - 0.45[/tex]

[tex]P(B') = 0.55[/tex]

Solving (c): Does not buy from 1 or does not buy from 2

This is represented as: [tex]P(A' U B')[/tex]

And the solution is:

[tex]P(A' U B') = P(A') + P(B') - P(A'B')[/tex]

[tex]P(A' U B') = P(A') + P(B') - P(A') * P(B')[/tex]

Using complement rule:

[tex]P(A') = 1 - P(A)[/tex]

[tex]P(A') = 1 - 0.50[/tex]

[tex]P(A') = 0.50[/tex]

The equation becomes:

[tex]P(A' U B') = 0.50 + 0.55 - 0.50 * 0.55[/tex]

[tex]P(A' U B') = 0.775[/tex]

Solving (d): Does not buy from 1 or does not buy from 2

This is represented as:

[tex]P(A'B')[/tex]

And it is calculated as:

[tex]P(A'B') = P(A') * P(B)'[/tex]

[tex]P(A'B') = 0.50 * 0.55[/tex]

[tex]P(A'B') = 0.275[/tex]

Answer:

it’s c:)

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

One bow and and 1 roll of wrapping paper  cost 6.00$

so the roll by itself would cost 6.00$

The time taken for the runner to complete the marathon is 209.6 minutes

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The total length of the marathon = 26.2 miles

Let the time taken by the runner to complete 7.5 miles = 60 minutes

So , the proportion is

A / 26.2 = 60 / 7.5

Multiply by 26.2 on both sides , we get

A = ( 60 x 26.2 ) / 7.5

A = 1572 / 7.5

A = 209.6 minutes

Hence , the time for marathon is 209.6 minutes

To learn more about proportion click :

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#SPJ3

Answer:

No le entiendo

Step-by-step explanation:

Answer: it’s the second

Step-by-step explanation:

Answer: Look

Step-by-step explanation:

Answer:

90% confidence interval is: ( 1.7 to 8.7 )

Step-by-step explanation:

Given the data in the question;

Method 1              Method 2

n₁ = 51                   n₂ = 76

x"₁ = 81.6              x"₂ = 76.4

σ₁ = 12.24             σ₂ = 11.19

Lets get the Margin of Error(M.E)

M.E = [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )

for 90% confidence interval

∝ = 1 - 0.90 = 0.10

∝/2 = 0.10/2 = 0.05

[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.05[/tex] = 1.64

so we substitute

M.E = 1.64 × √((12.24)²/51 + (11.19)²/75 )

M.E = 1.64 × √( 2.9376 + 1.669548)

M.E = 1.64 × √( 2.9376 + 1.669548)

M.E = 3.52

so, for 90% confidence interval for x"₁ - x"₂ will be;

C.I = x"₁ - x"₂  ±  [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )

= 81.6 - 76.4 ± M.E

= 81.6 - 76.4 ± 3.52

= 5.2 ± 3.52

Lower Limit = 5.2 - 3.52 = 1.68 ≈ 1.7

Upper Limit = 5.2 + 3.52 = 8.72 ≈ 8.7

Therefore; 90% confidence interval is: ( 1.7 to 8.7 )

Answer:

false

Step-by-step explanation:

I dont think I need to explain,

Answer:

The school will approximately raise 1500p.

Step-by-step explanation:

For part a) you're asked to complete the possibility space, this simply means to fill out in the provided chart with all possible outcomes for spinning the two spinners and adding the result of each.

You are already given two examples, particularly the case of landing a 2 and 1 (hence you get a 3) and landing a 8 and 3 (hence you get an 11). Just finish filling up the chart per the examples.

For part b) we must calculate the probability of having the outcome be 7. Assuming all sides of both spinners have the same probability of landing, we calculate this using classical probability so, as follows:

[tex]P(7)=\frac{n(7)}{n(all)}[/tex]

Where [tex]P(7)[/tex] represents the probability of getting seven, [tex]n(7)[/tex] the number of ways the two spinners can land in which they add up to 7, and [tex]n(all)[/tex] the number of all possible outcomes from spinning the two spinners. We are just doing the rule of "all favorable outcomes over all outcomes".

The total number of outcomes is 12, as there's only 12 ways the two spinners could land. The total number of ways we can get 7 is 3 (only by spinning 1 and 6, or 2 and 5, or 3 and 4). So, the probability of landing 7 is:

[tex]P(7)=\frac{n(7)}{n(all)}=\frac{3}{12}=\frac{1}{4}=.25[/tex]

So, there's a 25% chance of getting a 7 (hence of winning at this game). This means, if 120 play, approximately a 25% of them will win - so, approximately 30 contestants will win.

The school is charging 20p for playing, so the 120 participants are paying 2400p. However, because approximately 30 people will win, the school will have to buy 30 lollipops that cost 30p each - so, at the end the school will raise approximately 2400p (total earnings of tickets) - 900p (total losses from people winning) = 1500p (total money raised).

Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent.  This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First line

First column: AB is congruent to CB      Second column: Given

Second line

First column: angle ABD is congruent to angle CBD      Second column: Given

At this point we have the  SIDE-ANGLE portion of SAS.  We just need the other side.  We can see from the given angles that they both share a side...BD.

Third Line

First column: BD is congruent to BD     Second column: Reflexive property

All that is left is to state SAS.

Fourth Line

First Column:  Triangle ABD is congruent to triangle CBD     Second column: SAS (from lines 1,2,3)

Answer:

1350

Step-by-step explanation:

Answer:

2400 ft²

Step-by-step explanation:

Base = 30x30=900

Next, we have to find the height of the triangles.

15²+20²=c²

225+400=c²

625=c²

c=√625

c=25

Now we can find the surface area of all 4 triangles.

4(1/2)(30)(25)=1500

900+1500= 2400 ft²

Answer:

18

Step-by-step explanation:

just take off the minus sign

Answer:

Add all sides together

Step-by-step explanation:

That is the formula for perimeter in ANY situation

Answer:

P=4a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i think 300 people are enough to conduct a survey

Answer: 27

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

gravity

Answer:

D

Step-by-step explanation:

Extraemos los datos del problema:

Capital Inicial Bimestre → C = S/.25000

Tasa de interés bimestral:

I = C×i

I = S/.25000 × 0.08

I = S/.2000

Monto final:

M = C + I

M = S/.25000 + S/.2000

M = S/.27000

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 27000 - 25000) /  25000

% = 8

Capital Inicial Bimestre → C = S/.27000

Tasa de interés bimestral:

I = C×i

I = S/.27000 × 0.08

I = S/.2160

Monto final:

M = C + I

M = S/.27000 + S/.2160

M = S/.29160

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 29160 - 25000) /  25000

% = 16.64

Capital Inicial Bimestre → C = S/.29160

Tasa de interés bimestral:

I = C×i

I = S/.29160 × 0.08

I = S/.2332.8

Monto final:

M = C + I

M = S/.29160 + S/.2332.8

M = S/ 31492.8

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 31492.8 - 25000) /  25000

% = 25.97