Mathematics College

I need help with this word problem please

Answers

Answer 1

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

f(x) = [tex]x^{\frac{3}{2}}[/tex]

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]

= [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

Second derivative of the function,

f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]

= [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex] > 0

So the function should have a local minima.

But the function is continuous in the interval x ≥ 0,

There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

Concavity of the curve is UPWARDS.

Related Questions

what is the the y intercept of the function f(x)=-2/9X+1/3?

Answers

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

What is the volume of the rectangular prism?

Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3

Answers

Answer:

3 1/3 FT 3

Step-by-step explanation:

im not sure if this right but i tried lol

Answer:

There is not enough info you need to add a picture of the box to measure it.

The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?

Answers

Answer:

14ft

Step-by-step explanation:

Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.

(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)

Hope this helps :D

Alex and Amber are both saving money for a
summer vacation. Alex has already saved $100 and
plans to save $25 per week until the trip. Amber has
$75 and plans to save $30 per week. In how many
weeks will Alex and Amber have the same amount of
money?
19 points!

Answers

Step-by-step explanation:

25*x+100=30×x+75

25=5x

x=5

What is the amount of tax on a pair of shoes that cost $75.00, if the tax rate is 9%

Answers

Answer: The tax would be $6.75.

The tax would be $6.75...
Take $75 and multiply by.09

Steven is building a rectangular wooden frame for his mattress. If the mattress is 7 feet long by 6 feet wide, what is the
perimeter of the mattress?
OA. 42 feet
OB. 13 feet
OC. 21 feet
OD. 26 feet

Answers

Answer:

C| 21 feet is your answer .

Step-by-step explanation:

7×3=21 3×7=21

c is the answer to your problem.

Which of the following represents a function?

EXPLAIN YOUR ANSWER if correct will mark brainiest

Answers

Step-by-step explanation:

[tex]x \geqslant - 5[/tex]

from the graph it's seen there's a dot on -5 so it's also considered

and since it considered -5 and greater.

[tex]x \geqslant - 5[/tex]

10. The community garden has 4
acres. Each garden plot is 1/3 of an
acre. How many garden plots are
there in the garden?
6th grade math

Answers

Answer:

Step-by-step explanation:

In four acres there are 3 gardens so you just have to multiply 4x3=12

12 garden plots

because 1/3+1/3+1/3 makes a whole. Count until you get 4 whole and you should end up with 12.

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics:

Small Medium Large
X= Profit($) 4 8 12
P(X) 0.18 0.50 0.32
Mean μx= $8.56
Standard Deviation σx ≈ 2.77

The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?

Answers

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%

Answers

Answer: 50%

Step-by-step explanation:

The shaded portion is half of 100

Answer: 50%

Step-by-step explanation: Since the tape diagram in total represents 100%, and half of the tape diagram is shaded, this means 50% is shaded.

Caroline is saving up to buy a new video game. She already has $45 and can save an additional $9 per week using money from her after school job. How much total money would Caroline have after 9 weeks of saving? Also, write an expression that represents the amount of money Caroline would have saved in w weeks

Answers

Answer:

Step-by-step explanation:

9*9=81

81+45

Answer:

9=9=81

Step-by-step explanation:

Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?

Answers

Answer:

27 years old

Step-by-step explanation:

Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? Solution

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s ⇒ r = 0.45s

Sum of ages:

d + s + l + r = 141

Substitute and solve for s:

0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60

Rachel's age is:

r = 0.45*60 = 27

Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?

19 miles?
7 miles?
5 miles?
12 miles?

Answers

She cycled 5 miles on the second day

5 miles I think because

please help look at picture

Answers

Answer:

15 cm

Step-by-step explanation:

Answer:

its C 30cm

Step-by-step explanation:

I multiplied 6x5=30

a/-b in standard form

Answers

It can't be write in a standard form

What is the vertex for y=x^2-3+2

Answers

Answer:

-1

explanation:

because I used a graphing calculator

answer quick will give 20 points

Answers

Answer:

Step-by-step explanation:

the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)

Answer:

The correct answer to your question I believe is 1

Step-by-step explanation:

So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!

Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D

Answers

Answer:

c 4

Step-by-step explanation:

Sarah has 782 stickers in her sticker book. It took 8 stickers to fill one page. She filled each page before putting stickers on another page. How many full pages of stickers does Sarah have

Answers

Answer:

Step-by-step explanation:

if there are a total of 782 stickers and 8 stickers fill one page the number of full pages can be found by dividing 782 by 8. Doing this gives us 97.75, but since the question is asking us about full pages the answer if 97 full pages of stickers.

what is the meaning of the following data? 101, 143, 132, 155, 166

Answers

Answer:

it depends on what you're doing

what's the name of the topic

A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle

Answers

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

Please find X............

Answers

Answer:

[tex]x=45.57^{\circ}[/tex]

Step-by-step explanation:

Given that,

Hypotenuse, H = 10

Base = 7

We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :

[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]

So, the value of x is [tex]45.57^{\circ}[/tex].

Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)

Answers

Yes. I believe 256 and 81 have already been squared. The little 2 at the end means squared inches (i think that is what you were asking). If you also look at the squares, proportionally speaking, it would not make sense if they still needed to be squared. I hope I answered your question correctly... good luck

A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a 338 gallon hot tub?

Answers

Answer:

1 hour and 12 mins and 56 seconds

Step-by-step explanation:

Hope this helps and have a great day!!!

For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.

(a) Find .
(b) Find .

Answers

Answer:

Step-by-step explanation:

QUICK HELP GIVING BRAINLIEST AWAY

Answers

Answer:

-6

Step-by-step explanation:

8 - 2 = 6

But, its has - in it so with that being said, its -8 minus -2 = -6

Answer:

-6

Step-by-step explanation:

hope this helps!

Please help me with my homework!!!!

Answers

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

On Thursday, 14 out of 20 cookies sold at a bakery were Chocolate Chip. What percent of the cookies sold at the bakery were Chocolate chip?

Answers

14/20=0.7
70% of the cookies were Chocolate chip
:)

Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]

Step-by-step explanation:

We need to write the equation of the line that passes through the points (7,-8) and (2, -8).

We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]

where m is slope of the line.

To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]

So, we find the slope : m = 0

Now, using the point (7,-8) and slope m =0, the required equation is:

[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]

So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]

PLEASEHELP!

ANSWER CHOICES:
A)189
B)329
C)161
D)84

Answers

Answer:

329

Step-by-step explanation:

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