Can someone show me how this worked out for the answer?

Answer:

d = 256 ft.

Step-by-step explanation:

The distance an object falls is directly proportional to the square of the time it falls.

First, we name the variables.

Let d= the distance.

t= time

Write the formula for direct variation, where y varies directly with the square of x.

y=kx2

We will use d in place of y and t in place of x.

d=kt2

Substitute the given values for the variables.

d=144whent=3144=k⋅32

Solve for the constant of variation.

144916=k⋅99=k

Write the equation that relates d and t.

d=kt2

Substitute in the constant of variation.

d=16t2

Find d when t=4.

Write the equation that relates d and t.

d=16t2

Substitute the given value for t.

d=16⋅42

Simplify.

d=256

An object will fall 256 feet in 4 seconds.

The required distance fall by fall in 4 seconds is 192 feet.

Given that,
The distance an object falls is directly proportional to the square of the time it falls. A ball falls 144 feet in 3 seconds, how far will an object fall in 4 seconds is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,
The rate of fall of the ball = 144 / 3
                                      = 48 feet second
Now distance fall by the ball in 4 seconds = 48 * 4 = 192 feets.

Thus, the required distance fall by fall in 4 seconds is 192 feet.

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Answer:the variable k is the constant of proportionality

Step-by-step explanation:

This can be proven when the equation is used to find different values of y. To find these different values, the x variable is substituted for different values while the k value stays the same. hope this helps!!

Answer:

Well 3/4 & 5/12 are already simplified and in fraction form, if youre

looking for decimal form its gonna be .75 &.41

Step-by-step explanation:

Answer

n= 0

Explanation

- 3 (n - 3) = 3n + 9−3(−3)=3+9

−3+9=3+9

−3=3

-3n=3n−3n=3n

−3−3=3−3

−6=0

Answer:

Thank you and please rate me as brainliest as it will help me to level up

The price of the pen is "12", and the cost price of 1000 pens is "12000".

Assume the number of Pens[tex]= x[/tex]

commission price of 1000 Pens[tex]=1000 x[/tex]

The selling price of Pens:

  [tex]=\frac{1000\times 115x}{100}\\\\ ={10\times 115 x}{}\\\\= 1150x[/tex]

Commission price on Purchase:

[tex]= \frac{1000\times 1 x}{100}\\\\= \frac{10\times 1 x}{1}\\\\= 10x[/tex]

commission price on sales:

[tex]=\frac{1150x \times 3}{100}\\\\=\frac{115 x \times 3}{10}\\\\=\frac{345 x }{10}\\\\=34.5\ x[/tex]

Calculating the total commission:

[tex]\to 10x+34.5x=44.5x=534\\\\\to 44.5x=534\\\\\to x = \frac{534}{ 44.5}=12[/tex]

Therefore, the agent buys a pen at 12 rupees and the cost price of 1,000 pens is 12000.

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Answer:

$56.51

Step-by-step explanation:

Given parameters:

Cost price by the store = $49.14

Amount of mark up = 50%

Unknown:

Make- up price  = ?

Solution:

Since the price was increased by 50% more, to find the mark up price, we can find 50% of the cost price and add the value to the cost price.

Also;

 Make-up price  =( 1 + [tex]\frac{50}{100}[/tex] ) x $49.14

                           = 1.15 x $49.14

                            = $56.51

Complete question is;

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.

H0 : µ = 8.88 vs Ha : µ > 8.88

Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a.What is z ?

b.The p-value is greater than ?

c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:

a) z = 2.87

b) P-value ≈ 0.0021

c) The sonnets were written by another poet

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0 : µ = 8.88

Alternative hypothesis; Ha : µ > 8.88

We are also given;

Sample size; n = 6

Population Standard deviation; σ = 3

Sample mean; x¯ = 12.4

a) formula for z - value is;

z = (x¯ - µ)/(σ/√n)

z = (12.4 - 8.88)/(3/√6)

z = 2.87

b) we are given the significance value as α = 0.05.

From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;

P-value = 0.002052

Approximating to 4 decimal places;

P-value ≈ 0.0021

c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet

Answer:

can bcz triangle has 3 sides here 3 cm are there

Answer:

what do you need help with exactly?

Step-by-step explanation:

Answer:

your supposed to ask a question

Step-by-step explanation:

Answer:

The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)

Step-by-step explanation:

that should be right

The value of k is 2/3.

We have,

To determine the value of k, we need to find the equation of the line passing through the origin that is perpendicular to the line y + 2x = b.

The given line, y + 2x = b, can be rewritten in slope-intercept form

(y = mx + c) by solving for y:

y = -2x + b

Since the line passing through the origin is perpendicular to this line, its slope will be the negative reciprocal of the slope of the given line.

The given line has a slope of -2, so the perpendicular line will have a slope of 1/2.

Using the point-slope form (y - y1 = m(x - x1)) with the point (k + 2, 2k), we can write the equation of the perpendicular line passing through the origin as:

y - 0 = (1/2)(x - 0)

y = (1/2)x

To find the value of k, we equate the y-values of the two lines at the point of intersection:

(1/2)x = 2k

x = 4k

Since the x-coordinate of the point of intersection is k + 2, we can set it equal to 4k and solve for k:

k + 2 = 4k

2 = 3k

k = 2/3

Therefore,

The value of k is 2/3.

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Answer:

15,003 and Highest Point

Step-by-step explanation:

The highest point is at a positive 14,864 feet so we will use the number 14, 864.

The lowest is at a negative (below sea level) 141, so we will use the number -141.

The difference between them means that you subtract.

14,862-(-141)= x

Note that there is a double negative so it is positive.

14862+141=15,003 feet difference between them.

A city at 7642 above sea level is:

7642-14862=7222 feet away. The city is 7222 feet away from the highest point.

7642--141=7783 feet away. The city is 7783 feet away from the lowest point.

7222 is less than 7783, so the city is closest to the highest point.

Answer:

The difference is 15,005 and for the second part its closer to the highest point

Hope this helps!

Answer:

i aint never seen two pretty bestfriends

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

D, C, and A are def wrong so i think its B

i hope i helped you!

Answer: that would be d

Step-by-step explanation:

Answer: h is 5 and k is 2

Step-by-step explanation:

The equation of the transformed of the parent cube root function is

y = ∛(x-4) - 1.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

The given graph represents a transformation of the parent cube root function.

The Parent cube root function is

y = ∛(x -h) - k

where the value of h  and k is equal to 0

h=0, k=0 in parent function

The graph changes direction at (0,0) in parent function.

From the given graph we can see that the graph changes direction at (4,-1) which means the graph is shifted 4 units to the right and 1 unit down

So, the value of h=4  and value of k=1

The equation of the transformed function,

y = ∛(x-4) - 1

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Answer:

x = -11

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+50  + 72+  x+80   = 180

Combine like terms

2x + 202 = 180

Subtract 202 from each side

2x+202-202 = 180-202

2x =-22

Divide each side by 2

2x/2 = -22/2

x = -11

Step-by-step explanation: Write down the whole number amount, for example: 500. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right.

Answer:

9.25, 9.325, 9.5, 9.675

Step-by-step explanation:

Answer:

9.25, 9.325, 9.5, 9.675

Answer: segundo

Step-by-step explanation:

Answer:

=  [tex]-\sqrt{5} i[/tex]

Step-by-step explanation:

First, reorder the terms:

[tex]\sqrt{5} i[/tex]

Then, find the complex conjugate (a pure imaginary number is its opposite):

[tex]-\sqrt{5}i[/tex]

Answer:

hope this helps

Step-by-step explanation:

.55×78=42.9

78+42.9

=120.9 round off 121

Answer: 120.9 I believe.

Step-by-step explanation:

55% of 78 is 42.9.

(55 x 78 over 100 = 42.9)

Therefore take 78 + 42.9.

120.9

Answer:

50 golf balls

Step-by-step explanation:

200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.

To check the answer you do 50 times four.

Answer:

50 in each small bucket

Answer:

Step-by-step explanation:

Answer:

[tex](x-3)^{2} + (y-4)^{2} = r^{2} \\\\(1-3)^{2} + (5-4)^{2} = r^{2}\\r^{2} = 5 \\so the equation is \\(x-3)^{2} + (y-4)^{2} = 5[/tex]

Step-by-step explanation:

Answer: answer 2

Step-by-step explanation:

Answer:

angle 2

Step-by-step explanation:

they aren't equal.

Angle 3 is not equal to angle 2.

Properties of Parallel Lines Cut by a Transversal

For the parallel lines cut by a transversal, the following properties hold true:

As,

angle 3 = angle 1    (Corresponding angle)

angle  3 = angle 6  ( alternate interior angle)

angle 3= angle 8  (vertically opposite angle)

But there is no relation between angle 3 and angle 2.

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Answer:

Step-by-step explanation:

I'm not familiar with the conversions from American dollars. I can help you solve it though.

Count how many days from Nov 26 to Dec 26 and multiply that by 9p.

It's 30 days by 9p. Take that total and convert it.

Hopefully this helps you.

The doctor had the opinion about the boy that it world

hare been better is he had velict

Answer:

The answer is 35

Step-by-step explanation:

First of all, note that 56 is the same as 56/1 since 56 divided by 1 is 56. Therefore, start by setting up the problem like this:

Step 1: 56/1 x 8/5 =

Step 2: Multiply the numerators together (56 x 8 = 448) and multiply the denominators together (1 x 5 = 5) and make it into one fraction like so 448/5 Step 3: Convert the improper fraction above to a mixed number to get the answer: 89 3/5

That's it! Now you know how to calculate 56 times 8:5.

Answer:

35

Step-by-step explanation: