Mathematics High School

1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b)
in., by cutting out square corners with side length x and folding up the sides.

Answers

Answer 1

Answer:

a) The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].

b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Step-by-step explanation:

a) The volume of the box ([tex]V[/tex]), in cubic inches, is modelled by the equation for the cuboid:

[tex]V = (3-2\cdot x) \cdot (7-2\cdot x) \cdot x[/tex] (1)

Where [tex]x[/tex] is the side length of the cutted square corners, in inches.

[tex]V = (21 - 20\cdot x + 4\cdot x^{2})\cdot x[/tex]

[tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex]

The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].

b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Related Questions

Find the slope of: (12,-2) and (4, -6).

Answers

Answer:

Slope is 1/2

Step-by-step explanation:

Brainliest please!

The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step? 3m − − 3m − − 3m − − 3m − −

Answers

Given:

Consider the below picture attached with this question.

The given expression is:

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

To find:

The next step.

Solution:

We have,

[tex]\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}[/tex]

Cancel out the common factors.

[tex]=3m-\dfrac{4}{3}-\dfrac{2}{m}[/tex]

Therefore, the correct option is D.

Which of the following statements is true based on the data set shown below?

median = mode
mean = median
mode = mean

Answers

Answer:

median=mode

Step-by-step explanation:

I just did it.

Answer:

median=mode

Step-by-step explanation:

Una pelota sale disparada desde el nivel del suelo, con una velocidad de 40 m/s y un ángulo de elevación de 50°. a) Calcule la altura máxima que alcanza la pelota

Answers

Respuesta:

Los 47.85m

Explicación paso a paso:

Altura máxima = u²sin²Ф / 2g

Dado

velocidad u = 40 m / s

Ф = 50 °

g = 9,81 m / s²

Sustituir'

H = 40²sin²50 / 2 (9,81)

H = 1600 (0,7660) ² / 19,62

H = 1600 (0,5868) /19,62

H = 938,8096 / 19,62

H = 47,85 m

Por lo tanto, la altura máxima es de 47,85 m.

Find the volume of triangular prism. NO LINKS

Answers

Answer:

504

Step-by-step explanation:

calcular el perímetro de un rectángulo con un lado x+2 y otro lado de x-2 sabiendo que el area de 32cm

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Answer:

we can be bud

Step-by-step explanation:

so first you ask someone online if they want to be friends. then they say yes

hello please help i’ll give brainliest

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Answer:

1. 1

2. 6

3. 3 or 4

Step-by-step explanation:

Answer:

1. 8 families have 3 children

2. 25 families are represented in the dot plot.

3. 20 families have less than 4 children

Fiona deposited $900 in the bank over 2 years. She earned $60 in
simple interest at the end of the 2 years. What was the annual
interest rate?

Answers

If Fiona deposited $900 in the bank over 2 years. She earned $60 in

simple interest at the end of the 2 years then 3.33% is the annual

interest rate.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Fiona deposited $900 in the bank over 2 years.

She earned $60 in simple interest at the end of the 2 years.

We have to find the annual interest rate

I=PRT

60=900×2×T

60=1800T

Divide both sides by 1800

T=3.33%

Hence, the annual interest rate is 3.33%

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a) If a/b=3/4, find: 6a+b/3a+2b

Answers

Answer:

22/17

Step-by-step explanation:

If a/b = 3/4, then a = 3 and b = 4.

6a + b/3a + 2b

Substitute the variables.

6(3) + 4/3(3) + 2(4)

Multiply 6 and 3, 3 and 3, and 2 and 4.

18 + 4/9 + 8

Add 18 and 4, 9 and 8.

22/17.

Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?

After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.

Answers

Yooooooooooooo iky yoooio we go to the same

Answer:

lol

Step-by-step explanation:

plz help me do this

Answers

Answer:

Data set doesn't go to 17

Step-by-step explanation:

None of the numbers go to 17

Answer:

1st option. the data set doesn't GO to seventeen

Step-by-step explanation:

look at the number line. I always had trouble with this so I get where your coming from first, look at where the line is touching don't pay attention to the box yet because it's confusing the entire point of this line is to show you that there MAY have been 1 or two people who where at 0 for this data and 1 or two people who were at 15

the point here is that the bulk of the data was 11-14, but because there were less people down lower, the mean of the data is at 13, and the data is bigger (skewed) to the left.

making everything lekse true except for the first option.

Find the Area in terms of pi

Answers

Answer:

121 π

Step-by-step explanation:

A= π * r^2

r^2 = 121 * π

IN DESPERATE NEED OF HELP!!!! TIMED TEST!!! WILL GIVE BRAINLYEST!! No links or I will report u

Answers

Answer:

a) Slope is -4/3 y-intercept is 2

b) Slope is 2 y-intercept is -1

Step-by-step explanation:

y=mx+c

m=gradient (or in this case slope)

c=y-intercept

A dodecagonal pyramid has a surface area of 130 square inches. A similar dodecagonal pyramid has a surface area of 2080 square inches. If the larger pyramid has a height of 32, what is the height of the smaller dodecagonal pyramid?

Answers

Answer:

8 in.

Step-by-step explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So, [tex]\frac{2080}{130} = \frac{32^{2}}{h^{2} }[/tex]

[tex]h^{2} = \frac{32^{2} * 130 }{2080}[/tex]

[tex]h^{2} = 64[/tex]

h = 8 in.

number 4, it would help this is a final

Answers

-1,3 and 1.5 or something

Simplify the expression below.

(xy)^8
A.
xy^8
B.
x^8y^8
C.
8xy
D.
8xy^8

Answers

Hopes this helps:

Answer: B. x^8y^8

Have a great day.

Alex brought 48 cookies to school to celebrate his birthday. He gave 9 to teachers. He then shared equally the remaining cookies with his 18 classmates. How many cookies remained?

Answers

Answer:

3 cookies

Step-by-step explanation:

After he gave nine cookies to teachers,he have 39 cookies left.He shared 36 cookies to his 18 classmates at the rate of 2 cookies per person.Then,3 cookies remained.I may be wrong but,it is answer according to me.

hope it helps u and keep smiling :)

whoever has the right answers for ALL will get brainiest and all points

Answers

Answer:

1st: Equal to

2nd: Greater than

3rd: Less than

Answer:

Step-by-step explanation:

So the second problem 325 x 1 2/3 is greater then 325

and the third problem 325 x 1/4 is equal to 325

100 ÷ half of 20 = What is the answer and steps Half of 20 means 10 but in BODMAS rule of means multiplication So please tell steps also

Answers

Answer:

it's 10 but i do'nt know the rule i'm sorry

Step-by-step explanation:

Shonda earns $10 per hour at Sneakers Plus. She is also paid a $2 commission on every pair of sneakers she sells. How much did Shonda earn if she worked 6 hours and sold 9 pairs of sneakers?

Answers

Answer:

Step-by-step explanation:

6*10=60

2*9=18

60+18=78

How many minutes are there in 19 hours?

79 minutes

190 minutes

570 minutes

1,140 minutes

Answers

Answer:

1140 minutes

because you needed to multiply 19 and 60

sk the answer is 1140

Answer:

there are 1140 minutes in 19 hours

plz mark me brainliest

Which of the following is a statistical question?
A.
How many pages did Barry read last night?
B.
How many siblings does James have?
C.
How many miles does an elephant walk in a day?
D.
How old is Alisha?

Answers

Answer:

Step-by-step explanation:

Answer:

D.how old is Alisha

Step-by-step explanation:

A statistical question is something that can be answered by collecting data. For example how old am i? is not a statistical question.

14. A normal distribution has a mean of 700 and a standard deviation of 35. What is the
probability that a value selected at random is at most 630?

Answers

Answer: 0.025

Step-by-step explanation:

Which expression is equivalent to

Answers

Answer:

it is not clear i cant see well the question

Step-by-step explanation:

What is the range of the following graph? Please don’t put down any links.

Answers

Answer:

[-4, infinity)

Step-by-step explanation:

The range is all the y values. The minimum is -4, and the maximum is infinity because there are arrows pointing upwards.

Willl give brainlyist if quick its timedd

Answers

Answer:

feel like its C

Step-by-step explanation:

Which of the following could be a zero of f(x)=x4-10x3+35x2-50x+24

Answers

Answer:

this answer is

Step-by-step explanation:

Invisible

Can someone help me solve this pls

Answers

Can you please help me I posted the questions please help me

Answer: that’s an acute angle

Step-by-step explanation:

Which expression is equivalent to 4(3n -5)?

Answers

Answer:

12n-20

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

sorry i dont know the answer

Step-by-step explanation:

The green object below,is best defined as a ___ named____.

Answers

ray AC is your answer

The green object below, is best defined as a Ray named AC.

In geometry, a ray is a part of a line that consists of a single initial point called the endpoint and extends infinitely in one direction. It can be thought of as a half-line, with one end point and the other end extending infinitely.

Rays are named using two points, with the endpoint being mentioned first.

Here, in the figure the green line has one point A and the next C and it is further extending.

Thus, the Green line is a Ray name as ray AC.

Learn more about ray here:

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Other Questions

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1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b) in., by cutting out square corners with side length x and folding up the sides.

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1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. b)
in., by cutting out square corners with side length x and folding up the sides.