plot 5/3 and its opposite on the number line

A) The speed (in m/s) at which the ball hits the ground is; 23.43 m/s

B) The time (in s) that it takes the ball to remain in the air is; 3.67 s

C) The maximum height attained by the ball is; 16.51 m

A) The motion of the ball on the vertical axis is basically uniformly accelerated motion, with acceleration g = 9.81 m/s² and initial vertical velocity v_y = 18 m/s, so the vertical position of the ball at time t is:

y(t) = v_y*t - ¹/₂gt²

The formula for time when the ball hits the ground is;

t = 2v_y/g

t = (2 * 18)/9.81

t = 3.67 s

Thus, vertical velocity at time t is given by the formula;

v_y(t) = v_y - gt

v_y(t) = 18 - (9.81 * 3.67)

v_y(t) = -18 m/s (which shows it is in the opposite direction because of the negative sign)

Thus, the speed at which the ball hits the ground is the resultant of the vertical and horizontal velocity at time t;

v = √(v_x² + v_yt²)

v = √(15² + 18²)

v = 23.43 m/s

b) From a above, the time that the ball remains in the air is the time it takes to hit the ground which is t = 3.67 s

c) The time to reach maximum height is half the time it takes to reach the ground. Thus;

t = 3.67/2 = 1.835 s

Thus maximum height is given by the formula;

y(t) = v_y*t - ¹/₂gt²

y(1.835) = 18(1.835) - ¹/₂(9.81)(1.835²)

y = 16.51 m

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Answer: ZYH

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!

The answer will be:

B: 5 percent/ 5%

13 words in length will be 5%

Hope this helped

:)

Division of the monomial denominator by writing the fraction as the sum or difference of fractions is    [tex]8x+8 - \frac{1}{x^{3}}[/tex].

What is a polynomial equation?

Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.

We have,

                   [tex]\frac{8x^{4} + 8x^{2} - 1}{x^{3}}[/tex]

Break down the polynomial and divide:

                 [tex]= \frac{8x^{4} }{x^{3} } + \frac{8x^{2}}{x^{3}} + \frac{-1}{x^{3}}[/tex]

Calculating each division we get

                [tex]=8x+ 8x - \frac{1}{x^{3} }[/tex]

Therefore the final answer is

                 [tex]\frac{8x^{4} +8x^{3} −1}{x^{3}} = 8x+8 - \frac{1}{x^{3}}[/tex]

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By the concept of basic arithmetic, it is $3.64 more expensive per pound, to buy salmon at Super Grocery A than at Super Grocery B.

The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. The four fundamental arithmetic operations in mathematics are addition (finding the sum), subtraction (finding the difference), multiplication (finding the product), and division (finding the quotient). These operations can be applied to all real numbers. The usage of fundamental arithmetic operations is the focus of the field of mathematics known as arithmetic.

At Super grocery B, 3 pounds of Salmon cost = $ 24.63

So, 1 pound will cost = $ 24.63/ 3

= $ 8.21

At Super grocery A, 2 pounds of Salmon cost = $ 23.70

So, 1 pound will cost = $23.70/ 2

= $ 11. 85

To buy salmon at SuperGrocery A than at SuperGrocery B expense per pound is given by

= $11.85 - $ 8.21

$ 3.64

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The length of the line segment with endpoints at (0, 3) and  (-6, -5) is 10 units

An equation shows the relationship between two or more numbers and variables.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The line segment have endpoints at (0, 3) and  (-6, -5). Hence:

Length = √[(-5-3)² + (-6 - 0)²] = √(8² + 6²) = √100 = 10

The length of the line segment is 10 units

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Answer:

Step-by-step explanation:

You want to know the numbers of dimes and quarters that make 475 cents using 25 coins.

Let q represent the number of quarters. Then 25-q is the number of dimes, and the total value of the coins is ...

  25q +10(25-q) = 475

Simplifying the above equation gives ...

  15q +250 = 475

  15q = 225 . . . . . . . subtract 250

  q = 15 . . . . . . . . . divide by 15; number of quarters

  25 -q = 10 . . . . number of dimes

The man has 10 dimes and 15 quarters.

There are 6 circles and 9 squares. What is the simplest ratio of circles to squares?

There are 6 circles and 9 squares.

Factors of 6: 1,2,3,6

Factors of 9: 1,3,9

Common factors: 1,3

GCF (greatest common factor): 3

6:9

Unsimplified ratio

÷3↓↓÷3

Reduce out GCF

2:3

Simplified ratio

Visual representation:

6

2

9

Answer:

Step-by-step explanation:

1. Nine squares to three circles. You can right it as a ratio by using a colon to seperate its ratio!

9 to 3= 9:3

2. If a ratio is not simplified, always simplify it like fractions.

9:3= 3:1

3. Answer: 3:1

The time the airforce plane needs to before the planes are 3510 miles apart is 8.32 hours.

Time is the duration of an event

Since a jet left paris and flew toward moscow at an average speed of 410 mph. an air force plane left three hours later and flew in the opposite direction with an average speed of 160 mph.

The distance flown by the jet is d = vt where

So, d = 410t

Also, the distance flown by the airplane is D = vt' where

So, D = 160t'

= 160(t + 3)

Since the total distance apart of the both jet and airplane is D' = d + D, we have

D' = 410t + 160(t + 3)

Given that D = 3510 miles, we have that

410t + 160(t + 3) = 3510

Soving for t, we have

410t + 160t + 480 = 3510

570t = 3510 - 480

570t = 3030

t = 3030/570

t = 5.32 hours

Since t' = t + 3, we have

t' = 5.32 + 3

= 8.32 hours

So, the airforce plane needs to fly for 8.32 hours.

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The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

Given,

The quantity of apple bought by Jaxon = 10 2/3 pounds

The cost of one pound of apple = $1.80

We have to find the total amount Jaxon should paid for the apples, in dollars and cents;

Here,

Total amount Jaxon should paid = Quantity of apple bought by Jaxon × Cost of one pound of apple

Total amount Jaxon should paid = 10 2/3 × 1.80

Total amount Jaxon should paid = 12 dollars

1 dollar is equal to 100 cents

Then,

12 dollars = 12 x 100 = 1200 cents.

Therefore,

The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

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Answer:

123 423 21 34

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which graph represents the solution set of - 4x - y ≤ - 6?

Answer:

2/3 u need to walk to reach the clothing shop

Answer:

n > 8

Step-by-step explanation:

Let's call the unknown number n. Set up the inequality: (n-6)×4>n

Distribute on the left side, subtract the n from the right to the left, and continue solving.

Step-by-step explanation:

e⁰ = 1

so, we have

(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)

FYI - depending on what your teacher wants to see as simplified answer, it could be also

1 / (fgh⁶)⁸

or

(1 / (fgh⁶))⁸

but normally it should be the first result form above

1 / (f⁸g⁸h⁴⁸)

Answer:

s = 89°

Step-by-step explanation:

Exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

[tex] \therefore[/tex]

[tex] \rm \implies (v + 1) \degree + (v - 28) \degree = (v + 32) \degree \\ \\ \rm \implies 2v - 27 \degree = (v + 32) \degree \\ \\ \rm \implies 2v -v = 32 \degree + 27 \degree \\ \\ \rm \implies v = 59 \degree [/tex]

Sum of angles in a straight line is equal to 180°

[tex] \therefore[/tex]

[tex]\rm \implies v + 32 \degree + s = 180 \degree \\ \\ \rm \implies 59 \degree + 32 \degree + s = 180 \degree \\ \\ \rm \implies s + 91 \degree = 180 \degree \\ \\ \rm \implies s = 180 \degree - 91 \degree \\ \\ \rm \implies s = 89 \degree[/tex]

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = 3

y-intercept = 10

The equation of a line is given as y = mx + c

m = slope

c = y-intercept

Now,

m = 3

c = 10

So,

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

Thus,

The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.

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Answer:

BGIA

Step-by-step explanation:

B = 0,4

G =-4,3

I = 4,0

A = 0,1

The probability that the sample proportion surviving for at least 3 years will be less than 67% is of:

0.1131 = 11.31%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is given by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The proportion and the sample size are given as follows:

p = 0.73, n = 80.

Hence the mean and the standard error are given as follows:

The probability that the sample proportion surviving for at least 3 years will be less than 67% is the p-value of Z when X = 0.67, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (0.67 - 0.73)/0.0496

Z = -1.21

Z = -1.21 has a p-value of 0.1131.

Hence the probability is:

0.1131 = 11.31%.

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Concurrent lines meet at the point of concurrency.

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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Answer:

B(a) = a/6 - 9

Step-by-step explanation:

The equation that represents the function B(a) as the length of the side parallel to the base is B(a) = a/6 - 9, as per the area of a trapezoid.

What is the area of a trapezoid?

If the length of two parallel sides of a trapezoid is 'a', 'b' and the height of that trapezoid is 'h', then the area of a trapezoid can be represented as

= [(a + b)h]/2

Given, the base of the trapezoid is 9 and the height of the trapezoid is 12.

Therefore, 'b' is the parallel side of the base.

The given function that represents the area of the trapezoid is:

A(b) = [12(b + 9)]/2

Let, A(b) = a.

Therefore, a =  [12(b + 9)]/2

⇒ 2a = 12(b + 9)

⇒ a = 6(b + 9)

⇒ a = 6b + 54

⇒ 6b = a - 54

⇒ b = (a - 54)/6

⇒ b = a/6 - 9

If we assume the length of the side parallel to the base 'b' = B(a), therefore, the equation will be:

B(a) = a/6 - 9

Answer: 42.86%

Step-by-step explanation: 120/280*100 = 42.86%

The instantaneous rate of change of monthly output with respect to the number of workers is equal to 184.

The instantaneous rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity at a particular instant.

In Mathematics, the instantaneous rate of change can be calculated by taking the derivate of the function with respect to an independent variable. This ultimately implies that, the instantaneous rate of change is equivalent to the change in the derivative value at a particular instant.

Taking the derivate of the given function, we have:

Q(x) = 15,000 + 2x²

Q'(x) = d/dx(15,000) + d/dx(2x²)

Q'(x) = 0 + 2x(2)

Q'(x) = 4x.

At x = 46, we have:

Q'(x) = 4(46)

Q'(x) = 184.

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Complete Question:

The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 ≤ x ≤ 60), where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).

Q'(46) =

There are  181440 number of different 10 letter words , (real or imaginary) that can be formed from the given letters   .

In the question ,

it is given that ,

the letters are X, W, C, V, R, Z, W, U, M, A ,

since the total number of letters = 10 ,

So , 10 letter can be arranged in 10! ways = 362880 ways

and we can also see that the letter W is repeated 2 times

So it can be arranged in 2! ways = 2 ways .

So , the total number of different 10 letters words that can be formed is calculated by dividing total number of possible arrangements by arrangement of each repeated letter ,

that is ,

= 362880 / 2

= 181440  .

Therefore  , There are 181440 number of different 10 letter words (real or imaginary)that can be formed from the given letters   .

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Answer:

  78°

Step-by-step explanation:

You want the measure of base angle x in an isosceles triangle with a.pex angle 24°.

The two base angles of an isosceles triangle are congruent. The sum of all angles is 180°, so we have ...

  24° +2x = 180°

  12° +x = 90° . . . . . . divide by 2

  x = 78° . . . . . . . subtract 12°

The measure of angle x is 78°.

Answer: 25.949%

Step-by-step explanation:

Answer:

Step-by-step explanation:

You subtract 583 from 400 (400-583)

Then you get 183

The loan given has a rate of 0.53%

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same, unlike compound interest where we add the interest of previous years principal to calculate the interest of the next year.

The formula of simple interest is given as;

S.I = P(1 + RT)

Substituting the values into the formula;

(9000 + 336) = 9000(1 + r * 7)

9336 = 9000 + 63000r

Collecting like terms

336 = 63000r

r = 0.0053

r = 0.0053 * 100

r = 0.53%

The rate on the loan is 0.53%

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