How can you use tables, graphs, and equations to compare functions in everyday life?

Answers

Answer 1
You can use them in real life by keeping notes if things like a graph if you are presenting something to your boss like how the business has grown a table to separate things and equations to help you know how to much you’ll need to pay the cashier without overpaying

Related Questions

WILL GIVE BRAINLIEST, THANKS AND 5 STARS! PLEASE HELP! LOTS OF POINTS
Sam kicks a ball off of a rooftop. After t seconds, its height, h (in feet), is given by the formula
h (t) = -16t2 + 64t + 80.
*NOTE: Complete this without using graphing features on your calculator, and show all work for credit. You may type out your work or upload it in the next question.
a. What is the maximum height reached by the ball?
b. When did the ball reach its maximum height?
c. When will the ball hit the ground? (Do algebraically)
d. What is the height of the ball after 1 second?
(THIS IS A 4 PART QUESTION, PLEASE DO ALL PARTS!!!) PLEASE GIVE INDEPTH EXPLANATION FOR ALL PARTS!

Answers

Answer:

(a)  144 ft

(b)  2 s

(c)  5 s

(d)  128 ft

Step-by-step explanation:

[tex]h(t) = -16t^2 + 64t + 80[/tex]

Part (a)

To find the turning point of the parabola:

1. differentiate the function:

[tex]\implies h'(t) = -32t + 64[/tex]

2. Set it to zero and solve for t:

[tex]\implies h'(t) =0[/tex]

[tex]\implies -32t + 64=0[/tex]

[tex]\implies 32t = 64[/tex]

[tex]\implies t=2[/tex]

3. Input found value of t back into the function and solve for h:

[tex]\implies h(2) = -16(2)^2 + 64(2) + 80=144[/tex]

Therefore, the maximum height reached by the ball is 144 ft

Part (b)

As found in part (a), the maximum height is reached when t = 2, so the ball reached its maximum height at 2 seconds.

Part (c)

The ball will hit the ground when h(t) = 0

1. Set the function to zero

[tex]\implies h(t)=0[/tex]

[tex]\implies -16t^2 + 64t + 80=0[/tex]

2. Solve for t:

Divide both sides by 16

[tex]\implies -t^2 + 4t + 5=0[/tex]

[tex]\implies t^2 - 4t - 5=0[/tex]

Factor:

[tex]\implies t^2 +t-5t - 5=0[/tex]

[tex]\implies t(t+1)-5(t+1)=0[/tex]

[tex]\implies (t+1)(t-5)=0[/tex]

Therefore:

[tex](t+1)=0 \implies t=-1[/tex]

[tex](t-5)=0 \implies t=5[/tex]

As time is positive, t = 5

So the ball will hit the ground at 5 seconds.

Part (d)

To find the height of the ball after 1 second, input t = 1 into the function and solve for h:

[tex]\implies h(1) = -16(1)^2 + 64(1) + 80=128[/tex]

Therefore, the height of the ball after 1 second is 128 ft

--------------------------------------------------------------------------------------

Parts (a) & (b) - alternative method

Rewrite the function in vertex form by completing the square.

Set the function to zero:

[tex]\implies-16t^2 + 64t + 80=0[/tex]

Subtract 144 from both sides:

[tex]\implies -16t^2+64t-64=-144[/tex]

Factor out -16:

[tex]\implies -16(t^2 - 4t +4)=-144[/tex]

Factor expression in brackets:

[tex]\implies -16(t-2)^2=-144[/tex]

Add 144 to both sides:

[tex]\implies -16(t-2)^2+144=0[/tex]

Therefore:

[tex]\implies h(t)=-16(t-2)^2+144[/tex]

The maximum height is the y-value of the vertex.

The vertex is (2, 144) so the maximum height is 144 ft.

The time the ball reached the max height is the x-value of vertex.

So the time then the ball reached the maximum height is 2 s

Dennis biked 8 km and Patrick ran 6,172 m. Who traveled farther and by how much?

Answers

Answer:

Dennis : 4.971 miles

Patrick : 3.835 miles

Dennis ran 1.136 miles farther

What is the displacement current between the plates if the separation of the plates is r and they have an area of a?

Answers

A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.

What is displacement current?

Your information is incomplete. Therefore, an overview of the displacement current will be given.

A displacement current simply defines the terms of the rate of change of the electric displacement field.

It's the current due to the changing of the electric field that is inside the plate of the capacitor.

Learn more about displacement on:

https://brainly.com/question/321442

What is the volume of this figure?

2520 in³

1638 in³

1323 in³

935 in³
A right rectangular prism with a right triangular prism. The rectangular prism has a length of 14 inches, a width of 9 inches, and a height of 8 inches. The triangular prism shares a face with the rectangular prism. The triangular prism base has a length of 14 inches and a height of 5 inches. The height of the triangular prism is 9 inches.

Answers

Answer:

the answer is 1323. i took the quiz on k12 and this was the answer

Step-by-step explanation:

hi

1323

bye (disco lovely_jinni #2028

Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
answers to the total number on the test in simplest form?

Answers

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

The lengths of the diagonals of a rhombus are 24cm and 18 cm respectively. What is the perimeter/

Answers

keeping in mind that in a rhombus all sides are equal, Check the picture below.

The perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

What is a rhombus?

A rhombus is a two-dimensional shape with four straight, equal sides and parallels opposite pairs.

This form is similar to a diamond and is what you'd expect to see on a deck of cards to symbolize the diamond suit. Rhombuses can be found in a variety of settings in everyday life.

We have:

The length of the diagonals of the rhombus is 24 cm and 18 cm

As we know in the rhombus the diagonals intersect at the right angle so it makes a right-angle triangle.

So half of the right-angle 24 cm will be perpendicular to the right-angle triangle and half of the 18 cm will be the base of the right-angle triangle.

a = 24/2 = 12 cm

b = 18/2 = 9 cm

From the Pythagoras theorem the length of the hypotenuse:

[tex]c = \sqrt{12^2+9^2}[/tex]

c = 15 cm

Now the perimeter will be:

The perimeter of the rhombus = 4(15) = 60 cm

Thus, the perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

Learn more about the rhombus here:

https://brainly.com/question/22825947

#SPJ4

Answer the question based on the graph

What is the Y-intercept?

What is the asymptote?

Answers

the y-intercept is 2.

find two z values so that the middle 65% of the area is bounded by them

Answers

Answer: Firstly in this question, we need to solve for

α

which is the part of the distribution of which we not looking for.

we can do this with the sum:

α

=

1

0.76

=

0.24

as

0.76

=

76

%

we also know that our Standard Normal Distribution is symmetric, so we must divide that

α

to be split on either side of our distribution. so we solve for:

α

2

=

0.24

2

=

0.12

then we find a correlating

z

-score for the value

0.12

and we get that

z

=

1.175

and

z

=

1.175

This becomes easier to understand when visualized, so observe how we do this sum.

Step-by-step explanation:

Find the area of the triangle. Enter your answer in the box. 27 mm 12 mm 14 mm sq mm​

Answers

Answer:

84 cm^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2 * b*h (b: base, h: height)

1/2 * 14 * 12 = 84 the area is indicated with cm^2 so the answer is 84 cm^2

Y=x-12, y=14 what is x I need someone to answer fast please

Answers

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

In a rhombus, the difference of the measures of the two angles between a side and the diagonals is 32°. What are the measures of the angles of the rhombus?

Answers

Answer:

122 and 58

Step-by-step explanation:


GUYS I NEED HELP ASAP IVE BEEN STUCK ON THIS MATH PROBLEM
The cylinder shown has a volume of 695 cubic inches.
What is the radius of the​ cylinder?

Answers

Step-by-step explanation:

[tex]volume = \pi {r}^{2}h[/tex]

[tex]695 = 3.14 \times {r}^{2} \times 11.5[/tex]

[tex] {r}^{2} = 19.2[/tex]

[tex]r = \sqrt{19.2} = 4.3[/tex]

A store sells two cone-shaped funnels. What is the height of each funnel? Round your answer to the nearest tenth
(1 pt=28.875 in)
45 in
5 in
Volume 0.5 pint
Volume 1 pint
The height of the smaller funnel is about
inches.
The height of the larger funnel is about
inches.

Answers

Considering the volume of a cone, it is found that:

The height of the smaller funnel is about 2.72 inches.The height of the larger funnel is about 3.06 inches.

What is the volume of a cone?


The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:

[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]

[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]

[tex]h = 2.72[/tex]

For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:

[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]

[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]

[tex]h = 3.06[/tex]

More can be learned about the volume of a cone at https://brainly.com/question/14281550

On Tuesday afternoon at camp, Walter did archery and sailing before dinner. He spent 1 hour at archery and 1 hour and 20 minutes sailing. Sailing ended at 2:30 P.M. when it was time for dinner. What time did archery start?

Answers

Answer:

12:10

Step-by-step explanation:

1 hour and 20 minutes sailing- sailing ended at 2:30 pm when it was time for dinner.

For this, you simply have to subtract nd hour and 20 minutes from 2:30:

That is 1:10 pm.

Then, Walter spent an hour doing archery, so you take an hour off- which turns it back to 12:10 pm.

or 10 minutes after noon.

Thus, Archery started at 12:10 pm

Hope this helps, brainliest is always appreciated! :)
Have a nice day! cx

~Mitsuna

F(X)= -x^2 + 10x - 12

Answers

Answer:

(0, -22)

Step-by-step explanation:

       The y-intercept is the value of y when x is 0,

f(x) = -x² + 10x - 22

f(0) = -(0)² + 10(0) - 22

f(0) = - 22

                  The y-intercept is -22 at point (0, -22).

-> We can also see this when graphing, please see attached.

Note: If you want me to solve for f(x) = -x² + 10x - 12 as you wrote in text and not f(x) = -x² + 10x - 22 as the picture shows, let me know.

A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side?

Answers

Answer:

36

Step-by-step explanation:

For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.

By the triangle inequality theorem, 19+18>x, which means x<37.

So, the largest possible whole number length for the third side is 36.

Help what's the correct question ​

Answers

5 x 3 = 15 and 5 x -2k = -10k so B

PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links

Answers

Answer:

3rd

Step-by-step explanation:

Answer: graph 3

Step-by-step explanation:

The prime factorization of 100 is 4x25. Show a factor tree!

Answers

Answer:

See details below:

Step-by-step explanation:

We can start with the biggest factors and work our way down to see how arrive at 4 * 25.

In this case, the first part of the tree would be 50 * 2.

2 is prime, but 50 is not and thus must be factored.

Two possible factors of 50 are 2 and 25.

The 25 is not a prime number and must be factored further.

Two possible factors of 25 are 5 and 5.

Thus, the prime factorization of 100 is 2*2*5*5.

Then to simplify, we can combine the similar factors:  (2*2) * (5*5) = 4*25

I hope this makes sense

A large automobile manufacturing plant produces 1200 new cars every day. a qualitycontrol inspector checks a random sample of 90 cars from one day’s production and finds that 12 of them have minor paint flaws. calculate and interpret a 99% confidence interval for the proportion of all cars produced that day with minor paint flaws.

Answers

Using the z-distribution, it is found that the 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters are given by:

[tex]n = 90, \pi = \frac{12}{90} = 0.1333[/tex]

Then, the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 - 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.041[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 + 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.2256[/tex]

The 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

More can be learned about the z-distribution at https://brainly.com/question/25890103

You have $1000 invested for 3 years and get 10% interest.

Answers

Answer:

$1331 compounded annually after three years

Step-by-step explanation:

Given the following question:

1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....

Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]

Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.

Hope this helps.

A city has a population of 360,000 people. Suppose that each year the population grows by 3.75% What will the population be after 11 years?

Answers

Answer:

508,000 in 11 years

Step-by-step explanation:

3.75% of 360,000 is 13500

So every year the population grows 13500 people

13500 * 11 = 148,500

148,500+360,000=508,000

So in 11 years the population would be 508,000

INDEPENDENT or DEPENDENT?
Two marbles are drawn from a container in such a way that the first marble drawn is
replaced before selecting the second marble.

Answers

Answer:

what is 2dimes and one nickle and one quarter makes

Please Help! What is the measure of the reference angle that corresponds to an angle of measure 278°

Answers

Answer:

82 degrees

Step-by-step explanation:

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.

82 DEGREES

please helpppp pleaseee

Answers

а. 5

b. 180(5-3)=540

,..,,..,.,.,

Please help I need to complete this today

Answers

angle B is 32 and angle C is 180-32


this is because vertical angles are always congruent and two angles that make a like add up to 180

Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizers Melissa serves is directly proportional to the number of guests at the party. For lunch parties, she serves 3 appetizers per guest. For dinner parties, she serves 5 appetizers per guest. When serving 22 guests, what is the difference of the number of appetizers she serves for dinner and the number of appetizers she serves for lunch?

Answers

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests:  22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests:  22 × 5 = 110 appetizers served

Difference = total dinner appetizers  - total lunch appetizers

                  = 110 - 66

                  = 44

The area of a circle is 100π ft². What is the circumference, in feet? express your answer in terms of \piπ

Answers

Answer:

20π ft

Step-by-step explanation:

To find the circumference of the circle given its area, first find its radius.

[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]

Substitute given area into the formula:

100π= πr²

Divide both sides by π:

100= r²

Square root both sides:

[tex]r = \sqrt{100} [/tex]

r= 10 ft

[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]

Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.

Circumference of circle

= 2(π)(10)

= 20π ft

Evaluate the expression. Write your answer in scientific notation.
6 (6 x 10^-3) + 0.23 – (5 x 10^-2) =

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10.If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.16 • 10^-1

Two students in Ms. Romean's class are working on
finding the mean for the following set of numbers: 2,
12, 16, 4, 18, 24, 32. Susan states that the answer is
15.4 when rounded to the nearest tenth. She added all
of the numbers and divided by 7. Sam disagrees and
thinks the answer is 54. She added all of the numbers
and divided by 2. Which student is correct? How do
you know? Explain your thinking!

Answers

Answer:

susan is correct

Step-by-step explanation:

2+12+4+18+24+32=108

108 divided by 7=54

my reasoning is that the formula is add all and divide by how many numbers you added

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