The function d=16t^2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function to estimate the time it takes an object to fall 100 feet.

Answer:

Step-by-step explanation:

pN = 64/100 = 0,64 = 64%

pW = 80/100 = 0,8 = 80%

The planes of Waxwing airlines are more punctual

Answer:

x^2-12x+36

Step-by-step explanation:

The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.

Answer:

c will be the answer mark me brainliest

Answer:

9

Step-by-step explanation:

cuz yes

From the calculations and the data given, the volume of the triangular prism is 24 m3.

Since, We know that;

The triangular prism is a prismatic figure that has a trianguar base. We know that the formula for the volume of a triangular prism is;

V = 1/2 a c h

Now; We have to given that;

a =  2 m

b =  3 m

h =  8 m

Hence, We get;

V = 1/2 x 2 m x  3 m x 8 m

V = 24 m³

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Complete question is,

This figure shows the dimensions of a right triangular prism.

Right prism with triangular base. Height of triangle labeled 2 m and base labeled 3 m. Height of prism labeled 8 m.

What is the volume of the right triangular prism in cubic meters?

144 m3

16 m3

24 m3

48 m3

Answer:

Therefore, the 12th term of the geometric sequence 5, 15, 45, ... is 885735.

Step-by-step explanation:

The 12th term of the geometric sequence 5, 15, 45, ... can be found using the general formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)

where:

a1 is the first term of the sequence,

r is the common ratio, and

n is the position of the term that you're trying to find.

In this case,

a1 = 5

r = 15/5 = 3

n = 12

so:

a12 = 5 * 3^(12-1) = 5 * 3^11 = 5 * 177147 = 885735

Therefore, the 12th term of the geometric sequence 5, 15, 45, ... is 885735.

Answer:

12th term = 885735

Step-by-step explanation:

Meaning: A geometric sequence is an ordered set of numbers that progresses by multiplying or dividing each term by the same number.

5 x 3 = 15

15 x 3 = 45

The number we multiply the terms by in this sequence is 3.

4th term = 45 x 3 = 135

5th term = 135 x 3 = 405

6th term = 405 x 3 = 1215

7th term = 1215 x 3 = 3645

8th term = 3645 x 3 = 10935

9th term = 10935 x 3 = 32805

10th term = 32805 x 3 = 98415

11th term = 98415 x 3 = 295245

12th term = 295245 x 3 = 885735

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98415, 295245, 885735

hope this helps :)

When you create a dot plot, the operations that you have to do are:

c. Place a dot along a horizontal scale for each observation.

d. "Pile up" dots that are too close to show separately

A dot plot is a simple way of representing numerical data. It consists of a horizontal axis and a series of dots that are placed along it to represent the values of individual observations. Each dot corresponds to one observation, and its position along the axis represents its value.

Option (a) is not correct because a dot plot typically does not have a vertical axis showing frequency of observations. Option (b) is not correct because connecting adjacent dots to create a polygon is not a common practice in dot plots. Instead, each dot represents a single observation, and dots are placed along a horizontal scale to show their value. If multiple observations have the same value, they are "piled up" on top of each other to avoid overcrowding the plot.

Therefore, the correct options are (c) Place a dot along a horizontal scale for each observation and d. "Pile up" dots that are too close to show separately

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Answer: 18

Explanation: Divide the diameter by 2.

Answer:

18 centimeters.

Step-by-step explanation:

Radius is half of the diameter of a circle. Half of 36 centimeters is 18 centimeters, so the radius of the circle is 18 centimeters.

Hope this helps...have a great day!! ^^

Answer:

This is a quadratic function, which is usually defined on all reals. But, the domain is restricted to x>=0 because it does not make sense to produce a negative number of units.

Find the vertex of the parabola at

(10.14, 164.5)

Since the parabola opens up, the range is y>=164.5

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

measure of angle ACB = 180-135= 45

then the required angle = 180-(45+75) = 60°

I hope that was helpful

The area is:

A = πR² ------- 2π

A = x --------- π/6

x = πR²/12

x = π.(10)²/12

x =  26.18 in²

Hope it helps x

The approximate cost per calorie, in cents is 9.9 cents, if the total cost to make one batch of soup is $20.

In the table the nutrition information for a chicken noodle soup recipe.

The total calories in one batch of chicken noodle soup is 203 calories

The question ask the approximate cost per calorie, in cents, if the total cost to make one batch of soup is $20

Therefore, cost per calorie = $20/203

cost per calorie = 0.0985

now, 1 dollar = 100 cents

so,  approximate cost per calorie, in cents is 0.0985 × 100

approximate cost per calorie, in cents is 9.85 ≅ 9.9 cents

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The image of table is given below

Answer:

obtuse scalene

Step-by-step explanation:

Three different sizes.

I tried helping but I cant figure it out let me see..

Answer: 0,3

Step-by-step explanation:

The average change in speed each second is 0.0583 miles per squared second

The given parameters are:

Speed = 3.5 miles per second

Time = 60 seconds

The average change in speed each second is calculated as

Average change = Speed/Time

This gives

Average change = (3.5 miles per second)/60 seconds

Evaluate the quotient

Average change = 0.0583 miles per squared second

Hence, the average change in speed each second is 0.0583 miles per squared second

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Answer:

440

Step-by-step explanation:

i did the test already

Answer:

765.037

Step-by-step explanation:

7 x 100 = 700

6 x 10 = 60

5 x 1 = 5

0 x (1/10) = 0

3 x (1/100) = 0.03

7 x (1/1000) = 0.007

Add them all up and you'll get 765.037.

Answer:

C.    Student C, who is paid $290 for 20 hours of work

Step-by-step explanation:

What we know:

    - Student A ( 164.50 = 14 hours )

    - Student B ( 162.00 = 12 hours

    - Student C ( 14.50h = p )

What we need to figure out:

    - How much each person makes per hour ( Pt.1 )

    - Who will make the most in 20 hours ( Pt.2 )

How to execute:

    - Divide for A & B

    - Convert for C

    - Multiply for all

Step 1: Divide the total pay by the hours for A & B

Student A:   164.50 ÷ 14 = 11.75 per hour ( Found PT.1 )

Student B:    162.00 ÷ 12 = 13.50 per hour ( Found PT.1 )

Step 2: Convert C so that it looks like A & B

Student C:    14.5(h) = p  --->   p ÷ h =   14.5 per hour ( Found PT.1 )

Step 3: Multiply the hourly rate by the 20 hours

Student A:   11.75 × 20 = 235 for 20 hours      ( Found PT.2 )

Student B:   13.50 × 20 = 270 for 20 hours     ( Found PT.2 )

Student C:   14.50 × 20 = 290 for 20 hours     ( Found PT.2 )

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I saw the comment about not being able to mark the other person brainliest because no one else answered. I'm here to fix that. Also, the answer is C.

The parabola is represented by the following expression: y - 3 = (1 / 8) · (x - 3)². Concerning the following points:

(x, y) = (- 1, 5): YES (The point is 4 units left from focus and 4 units up from directrix)

(x, y) = (3, 3): YES (The point is 2 units down from focus and 2 units up from directrix)

(x, y) = (5, 5): NO

In this question we find a graph of the focus and the directrix of a parabola. The least distance between the focus and the directrix is represented by the following expression:

d = 2p

Where is the distance between the vertex and the focus.

The vertex of the parabola is the midpoint of the line segment of the least distance between focus and directrix. And the equation of the parabola in vertex form is:

y - k = [1 / (4 · p)] · (x - h)²

Where (h, k) are the coordinates of the vertex of the parabola.

First, determine the distance between vertex and focus:

(0, 2 · p) = (3, 5) - (3, 1)

(0, 2 · p) = (0, 4)

p = 2

Second, find the vertex of the parabola:

(h, k) = 0.5 · (3, 5) + 0.5 · (3, 1)

(h, k) = (3, 3)

Third, build the equation of the parabola:

y - 3 = (1 / 8) · (x - 3)²

Fouth, check if each point belongs to the parabola:

(x, y) = (- 1, 5)

y = (1 / 8) · (x - 3)² + 3

y = (1 / 8) · (- 1 - 3)² + 3

y = (1 / 8) · (- 4)² + 3

y = 2 + 3

y = 5

YES (The point is 4 units left from focus and 4 units up from directrix)

(x, y) = (3, 3)

y = (1 / 8) · (x - 3)² + 3

y = (1 / 8) · (3 - 3)² + 3

y = 3

YES (The point is 2 units down from focus and 2 units up from directrix)

(x, y) = (5, 5)

y = (1 / 8) · (x - 3)² + 3

y = (1 / 8) · (5 - 3)² + 3

y = 1 / 2 + 3

y = 4.5

NO

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Answer:

there were 8 adults and 7 students

Step-by-step explanation:

7.25(8) + 5.5(7) = 96.5

the numbers in the parenthesis stand for the number of people

have a great day :D

Step-by-step explanation:

The Answer Is

8 Adults And 7 Students

Answer:

x² - 1

Step-by-step explanation:

When x - 1 = 3 and x + 1 = 5 we know that x = 4 so (x - 1)(x + 1) = 4² - 1 when x = 4, 5² - 1 when x = 5 and so on. If you look carefully you will notice a pattern, the product is always x² - 1 so the answer to the blank is x² - 1.

Probability is a branch of mathematics in which the chances of experiments occurring are calculated.

(a) Since each traffic light is independent of the others, the probability that all three lights are green is the product of the probabilities that each light is green:

P(all three lights are green) = 0.6 * 0.6 * 0.6 = 0.216

So the probability that all three lights are green is 0.216 or 21.6%.

(b) The number of times out of five days that all three lights are green is a binomial distribution with parameters n=5 and p=0.216, where n is the number of trials (days) and p is the probability of success (all three lights are green).

(c) To find P(X = 3), we can use the formula for the binomial probability mass function:

P(X = 3) = (5 choose 3) * (0.216)^3 * (1 - 0.216)^(5-3)

where (5 choose 3) is the number of ways to choose 3 days out of 5, and (1 - 0.216)^(5-3) is the probability that the lights are not all green on the other two days.

Using a calculator or a computer, we get:

P(X = 3) = (5 choose 3) * (0.216)^3 * (0.784)^2

= 0.160

So the probability that all three lights are green exactly three times out of five days is 0.160 or 16.0%.

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Answer:

(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)

Answer:

0.25y + 6y

Step-by-step explanation:

multiple everything in the brackets by y

Answer:

1) 2 > -3 > -5

Step-by-step explanation:

that is mathematically correct

The probability that at most 2 of the bulbs are defective is 938/969.

Probability of a function is defined as the possibility of the outcomes of a random event. It is obtained by dividing the required probability with the total probability.

Given that the total bulbs are 20, and the defective items are 5.

The possibility of selecting r items from total n is given as:

\(nC_{r} = \frac{n!}{r! (n-r)!}\)

The number of ways in which 4 bulbs can be selected from 20 bulbs is given as:

\(20C_{4} = 4845\)

The probability of selecting at most 2 defective bulbs is given as:

Total probability = 0 defective + 1 defective + 2 defective

Probability = \((15C_{4}) . (5C_{0}) + (15C_{3}). (5C_{1})+ (15C_{2}).(5C_{2}) = 4690\)

The probability of selecting at most 2 defective bulbs is:

\(P = \frac{Required probability }{Total probability}\)

\(P = \frac{4690}{4845} = \frac{938}{969}\)

Hence the probability of choosing at most 2 defective bulbs is 938/969.

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Answer:

44

Step-by-step explanation:

we know that

 [volume of right circular cylinder]=pi*r²*h

Vo=pi*r²*h--------------> original volume

Vo= 22 cm³

if twice the radius and half the height

r1=2*r

h1=h/2

then

V1=pi*ri²*h1

substituting

V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h

V1=2*[pi*r² *h]------------> V1=2Vo

V1=2*22=44 cm³

Answer:

4) x = 110° & y = 70°

Step-by-step explanation: