16 A rocket is launched from atop a 101-foot cliff with an initial velocity of 116 fts. Use the vertical motion formula
h(t)= -16t squared+ vt +s where v is the initial velocity and s is the starting height, to find how long it take the rocket
to hit the ground after it is launched. Round to the nearest hundredth of a second.

Answer: 0.71

Step-by-step explanation:

we have that cos(A) = 12/13

then:

A = Acos(12/13) = 22.62°

But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°

Then Sin(2A) = sin(2*202.62°) = 0.71

Answer:

B. 0.9%

Step-by-step explanation:

If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles

The radius of the earth is 3959 miles

Assuming that both bodies are spherical, their surface are:

meteor's surface: π*r² = π*375² = 441786.467 miles²

Earth's surface: π*3959² = 49240321.1 miles²

If 49240321.1 miles² represents 100% then 441786.467 miles² represents:

49240321.1 miles² / 100% = 441786.467 miles² / x%

x = 441786.467/49240321.1*100

x = 0.9%

Answer:

B) 0.9%

Step-by-step explanation:

Answer:

C. (3x^2+4)(x+3)

Step-by-step explanation:

3x^3+9x^2+4x+12

=(3x^3+9x^2)+(4x+12)

=3x^2(x+3)+4(x+3)

=(3x^2+4)(x+3)

Therefore, C. (3x^2+4)(x+3)

The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 3x³ + 9x² + 4x + 12

Now, We can factor the polynomial as;

⇒ 3x³ + 9x² + 4x + 12

⇒ 3x² (x + 3) + 4 (x + 3)

⇒ (x + 3) (3x² + 4)

Thus, The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

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Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

Answer:

Let's denote:

x: number of bicycles

y: number of  skateboards

Then, we have:

x + y = 20

2x + 4y = 52

=> 2(20 - y) + 4y = 52

=> 2y = 12

=> y = 6 (number of skateboards)

=> x = 14(number of bicycles)

Hope this helps!

:)

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square  you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

please mark me as brainliest.

Answer:

[tex]7 units^2[/tex]

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

[tex]A=lw[/tex]

The formula for a right trapezoid:

[tex]A=\frac{1}{2} (h)(a+b)[/tex]

Area of square:

[tex]A=(2)(2)\\A=4[/tex]

Area of right trapezoid:

[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]

Add up the individual areas to find the overall:

4 + 3 = 7

Answer:

x ≤ 63.4

Step-by-step explanation:

.25x+4.15 ≤20

Subtract 4.15 from each side

.25x +4.15 -4.15 ≤ 20-4.15

.25x ≤ 15.85

Divide each side by 15.85

.25x/.25 ≤ 15.85/.25

x ≤ 63.4

Answer:

stem and leaf plot

Step-by-step explanation:

:) trust

Answer:it is 1/2

Hopefully this helps

Answer:

Event A: stops on red

Event B: stops on yellow

Find P(A or B)

1/2

Answer:-6

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

6 negative

[tex]\frac{2}{3}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{12}{18}[/tex]

[tex]\frac{14}{21}[/tex]

I hope this helps :)

Answer:

2/3= 4/6= 12/18= 14/21

Step-by-step explanation:

2/3= __/6

you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6

To find 12/__

You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18

_/21

You times 2/3 by 7 because 3*7=21.

2*7=14

Answer:

[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]

Step-by-step explanation:

If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]

Answer: rolling a six sided die☞︎Fiona forest research

Hearts suit☞︎Althea class representative

Spinner☞︎ Jenny marbles

Step-by-step explanation:

Answer:

Fiona= die

Althea=cards

Jenny=Spinner

Step-by-step explanation:

starting off Fiona has three which can evenly go into six.

Althea has 13 options which matches with the number of suits in the hearts

the Jenny would be spinner because 5 times 2 is 10

Answer:

The answer is D. Let me know if you don't understand that.

Step-by-step explanation:

Hi!

To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.

5 + 3 + 3 + 4 + 5 + 4 = 24

24/6 = 4

Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.

5 - 4 = 1

3 - 4 = 1

3 - 4 = 1

4 - 4 = 0

5 - 4 = 1

4 - 4 = 0

Now find the mean of those numbers.

1 + 1 + 1 + 0 + 1 + 0 = 4

4/6 = 0.7

So now we know the answer is either B or D.

B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Hope this helps! :)

-Peredhel

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds

Option D is the correct answer.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the mean absolute deviation, we first need to find the mean weight of the boxes:

Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds

Next,

We calculate the absolute deviations from the mean for each weight:

So,

|5-4| = 1

|3-4| = 1

|3-4| = 1

|4-4| = 0

|5-4| = 1

|4-4| = 0

Then,

We find the mean of the absolute deviations:

(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7

This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.

Therefore,

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).

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Answer:

Step-by-step explanation:

+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where

[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]

So we write its equation: y = -3/5 x + b.

+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:

2 = -3/5 * (-2) + b or 2 = 6/5 + b

so b = 2 - 6/5 = 4/5.

And this line has its equation: y = -3/5 x  + 4/5.

Mẹthod 2:

we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]

Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]

Then, we can write for this case:

[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]

P.S: You type wrongly the signs?

Step-by-step explanation:

You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!

Answer:

Step-by-step explanation:

put a point in at negative 1 first; that is the y value.

Then, go up 1 then to the right six points. that should result in the next point being at (0,6).

Keep going and draw a line

Answer:

3x + 7y = −17

4x − 7y = 10

Add up both sides of 2 equations, then

7x = -7

=> x = 1

=> y =(3 x 1 - 17)/7 = -14/7 = -2

Hope this helps!

:)

Answer:

x = 4

Step-by-step explanation:

5x-50=30-15x

5x +15x =30+50

20x= 80

Divide both sides of the equation by 20

x = 4

I hope it helps

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

image attached!

Answer:

Step-by-step explanation:

(20+10)*3/2 = 45

Answer:

45 ft squared

Step-by-step explanation:

Area of a trapazoid = a plus b divuded by 2 times h

20 plus 10 divided by 2 equals 15

then 15 times 3 equals 45

Answer:

see below

Step-by-step explanation:

Let w = width

L = length = w+5

The area is l*w

A = (w+5)*w

A = w^2 +5w

Answer:

D. 18x-0.08y

Step-by-step explanation:

He will make 18 monthly payments of x dollars on the total amount leftover after paying an 8% down payment. So his finance charge is payment minus down payment: 18x-0.08y

The expression correctly represents Adam's finance charge is

C. 18x-0.92y.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From, The given information,

8% of the downpayment is (8/100)×y = 0.08y and te total monthly payment is 18x.

Therefore,

The phrase that accurately describes Adam's finance charge is,

y = 0.08y + 18x.

y - 0.08y = 18x.

0.92y = 18x.

18x - 0.92y = 0.

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Answer:

1/3

Step-by-step explanation:

To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.

That means, dividing the numerator and denominator by the same integer.

For example, in this case, we divided both the numerator and denominator by 6.

6/6=1

18/6=3

So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.

Answer: [tex]\frac{1}{3}[/tex]: D

Step-by-step explanation:

This is simple, just simplify the fraction.

[tex]\frac{6}{18}[/tex]

You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.

When you divide 6 by 6, you get 1.

When you divide 18 by 6, you get 3.

Therefore, your answer is [tex]\frac{1}{3}[/tex].

Hope this helps! :)

Answer:

4

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex]r²h

Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]

Radius ≈ [tex]\sqrt{16}[/tex]

Radius ≈ 4

So, the radius is about 4 cm.

Answer:190

Step-by-step explanation:

If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190

Answer:

A. 3,864 ft²

B. 1,319.585 ft²

C. 2,544.415 ft²

Step-by-step explanation:

Area of triangle:

½ × 92 × 84

3864 ft²

Area of circle:

pi × r²

3.14 × 20.5²

1319.585 ft²

Difference:

3864 - 1319.585

2544.415 ft²

Answer:

0.588

Step-by-step explanation:

Margin of error is:

ME = CV × SE

where CV is the critical value (z score or t score), and SE is the standard error (standard deviation of the sample).

Since n is large, we can approximate as a normal distribution.  At 95% confidence level, z = 1.96.

Therefore, the margin of error is:

ME = 1.96 × 0.3

ME = 0.588

Using the z-distribution, it is found that the margin of error for a 95% confidence interval was of 0.0186.

The interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The standard deviation for the population and the sample size are given, respectively, by:

[tex]\sigma = 0.3, n = 1000[/tex]

Hence, the margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.3}{\sqrt{1000}}[/tex]

M = 0.0186.

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Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

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