The polynomial V(x)=x^2+9x^2-16x-144 represents volume of a shipping crate. Explain how to find the area of the base of the crate? if the polynomial H(x)=x+4 represents the height of the crate

Answers

Answer 1

Answer:

x = − 9 , − 4 , 4

Step-by-step explanation:

Each crate is in the shape of a rectangular solid. Its dimensions are length, width, and height. The rectangular solid shown in the image below has a length  

4  units, width  2  units, and height  3

units. Can you tell how many cubic units there are altogether? Let’s look layer by layer.

Breaking a rectangular solid into layers makes it easier to visualize the number of cubic units it contains. This  

4  by  2  by  3  rectangular solid has  24 cubic units.

A rectangular solid is shown. Each layer is composed of 8 cubes, measuring 2 by 4. The top layer is pink. The middle layer is orange. The bottom layer is green. Beside this is an image of the top layer that says  

Altogether there are  24  cubic units. Notice that  24  is the length × width × height.

The top line says V equals L times W times H. Beneath the V is 24, beneath the equal sign is another equal sign, beneath the L is a 4, beneath the W is a 2, beneath the H is a 3.

The volume,  V, of any rectangular solid is the product of the length, width, and height.

V = L W H

We could also write the formula for the volume of a rectangular solid in terms of the area of the base. The area of the base,  B, is equal to length × width. B = L ⋅ W

We can substitute  

B  for  L ⋅ W  in the volume, formula to get another form of the volume formula.

The top line says V equals red L times red W times H. Below this is V equals red parentheses L times W times H. Below this is V equals red capital B times h.

We now have another version of the volume formula for rectangular solids. Let’s see how this works with the  

4 × 2 × 3

Besides the solid is V equals Bh. Below this is V equals Base times height. Below Base is parentheses 4 times 2. The next line says V equals parentheses 4 times 2 times 3. Below that is V equals 8 times 3, then V equals 24 cubic units.


Related Questions

Which inequality is graphed?
1. 2<x
2. 2>x
3. 2<_x
4. 2>_x​

Answers

Answer: 3

Step-by-step explanation:

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Answers

The correct answer to this is c. Dont know why but it sis. Idbdhdbd susijs disis.

Answer:

A.

angles two and 7 do not add up to 180 so they are not supplementary

:')

X+1/2=21/14 help please!!!
Solve the proportion

Answers

122hgcxfuhcsfugxhcfhvvc bug has
Duenflflciejwnfshwjwkfofshwbrm246422dhrkelrlfhebemglfhwbw

Find the value of the angle labeled as 2x - 5
2x + 20
X + 10
2X-5

Answers

Answer:

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1

(i think)

Step-by-step explanation:

Fred read a total of 12 books over 4 months. After belonging to the book club for 12 months,
how many books will Fred have read in all? Solve using unit rates.

Answers

Answer:

Fred will have read 36 books in 12 months.

Step-by-step explanation:

We use ratios for this equation:

[tex]\frac{12}{4} =\frac{x}{12} \\\\4x=144\\x=36[/tex]

pls help will give u brainlist

Answers

option D is the correct answer.

Match each probability to its likelihood to occur
1.
2.
3.
4.

Answers

Answer:

I am just assuming that anything below 50% (or 5/10 or .5) is unlikely, and anything above 50% is likely. If your instructor uses a different comparison, please use his or her notes to check.

.89 is likely

17% is unlikely

8/16 is neither likely nor unlikely

.37 is unlikely

Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from
the bowl.
The probability of Kayla not drawing a yellow or a green bead is. %. The probability of Kayla drawing a red or a green bead is. %.

Answers

Answer:

Probability of not drawling a yellow or a green bead is 30%

Probability of drawing a red or green is 46%

Step-by-step explanation:

Answer:

1. 30%

2.46%

Step-by-step explanation:

The probability of Kayla not drawing a yellow or a green bead is  30 %. The probability of Kayla drawing a red or a green bead is  46 %.

Correct for plato! :)

Could someone please help??


TYY!!! <33

Answers

Answer:

25×124/100=31

120×175/100=210

35×160/100=56

72×165/100=118.8

Answer:

5) 31

6) 210

7) 14

8) 25.2

Step-by-step explanation:

25+6=31

120+90=210

35-21=14

72-46.8=25.2

THIS IS MY 10TH TIME POSTING THIS SOMEONE HELPPPPP ME ASAPP PLSSSSS I WOULD GIVE YOU BRAINIEST PLSSSS HELPP QUICK What is the slope-intercept equation of the line below?
y-intercept= (0, 3)
slope =-5/4

Answers

hope it helps , good morning have a great day ahead.

Answer:

I'm guessing they mean slope intercept form but I got

y= -5/4x+3

Step-by-step explanation:

basically you follow a rule that is y=mx+b

the m is the slope the b is the y-intercept

Determine whether the function represented by each equation is quadratic. F(x)=0.01-0.2x+x^2
-
I tried but couldnt quitw solve it :(

Answers

Answer: x=0.1

Step-by-step explanation:

Given

The function is given by [tex]F(x)=x^2-0.2x+0.01[/tex]

A standard quadratic equation is given by [tex]ax^2+bx+c=0[/tex]

The given equation has an exponent of x as 2 which confirms it is a quadratic equation. Compare it with the standard equation

[tex]a=1,b=0.2,c=0.01[/tex]

Therefore, the given equation is the quadratic equation.

Its solution is given by

[tex]\Rightarrow x=\dfrac{0.2\pm \sqrt{(-0.2)^2-4\times 1\times 0.01}}{2\times 1}\\\\\Rightarrow x=0.1[/tex]

2.

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]

applying the law of sines to find the unknown sides:

[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]

[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]

so,

[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]

The temperature of a city is 4⁰C. Next day , the temperature falls by 5⁰C. What is the temperature of the city next day?

Answers

The temperature of a city is 4°C Next day temperature falls by 5°C Next day temperature = 4-5 = -1°C Hope it helps ...

Answer: -1 degree celcius

Step-by-step explanation:

The temperature on the first day is 4 degrees celcius.

The temperature on the second day falls by 5 degree celcius.

Therefore, we subtract 5 from 4 which gives us -1.

10. Damarion is finding measurements from the triangular prism shown.


a. Damarion finds the perimeter of the base to be 48 units.

Explain his error.


b. Damarion finds the area of the base to be 96 units2.

Explain his error


Answers

Answer:

The answer is "32 and 48"

Step-by-step explanation:

Please find the graph file in the attached file.

The perimeter is= sum of sides  

                           [tex]= 10+10+12 \\\\ =32 \ units\\\\[/tex]

Calculating the Area of base[tex]= \frac{1}{2} \times base \times height[/tex]

                                               [tex]= \frac{1}{2} \times 12 \times 8\\\\= \frac{1}{2} \times 96\\\\=48 \ units^2[/tex]

find the answer to these problems:

36 = 4x
13 = x +5
3x = 21
28 = x
8x = 60

Answers

ANSWER:
x=9
x=8
x=7
x=28
x=7.5

A8=21 a10=27 find nth term arthemetic sequence

Answers

Answer:

an = 3n - 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

an = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

a8 = a + (8-1)d

a8 = a + 7d = 21 ....1

a10 = a+9d = 27 ....2

Subtract 1 from 2

7d  - 9d = 21 - 27

-2d = -6

d = -6/-2

d = 3

Since a + 7d = 21

a + 7(3) = 31

a + 21 = 21

a = 21 - 21

a = 0

Get the nth term

Recall that an = a + (n-1)d

an = 0 + (n-1)*3

an = 3n - 3

Hence the nth term of the sequence is 3n - 3

Nick makes $50 in 4 hours How much money will he make in 1 hour?​

Answers

Answer:

$12,5

Step-by-step explanation:

50/4=12,5$

brainliest pls

Answer:

$12.5

Step-by-step explanation:

let x be the money he make in 1 hour

50 : 4 = x : 1

4x = 50

x = 12.5

SYTEM OF INEQUALITIES , 65 points.
HELP

Answers

Answer:

[tex]2x+3y\geq 60\\x>10[/tex]

Step-by-step explanation:

We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.

Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].

Therefore the system of inequalities is:

[tex]2x+3y\geq60\\x>10[/tex]

Hope this helps!

please help

What is 11 – 2³ ?

Answers

Answer:

3

Step-by-step explanation:

you do 11 - 2*2*2 which is equlivilate to 2^3

so your answer will be 3

Correct Answer Gets Brainleist + 15 points. (Please Help..)

Answers

Answer:

You need to divide by the cost of children and adults by their per cost to total

I really need help please someone

Answers

Answer:

B is the answer because if you put in a calculation that what you get

What is the area of the figure?

Answers

15 x 5 for the rectangle = 75 in.
triangle is base x height divided by 2 so
9 x 6 = 54
54 divided by 2 = 27
75 + 27 = 102 in.



Tracy put $80 into an investment account where she earns 4% interest per year. What was the amount of interest Tracy earned after three years

Answers

Depends whether it’s compound or simple interest

Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt

Answers

Answer:

32,322,237 million or 3.23million

Step-by-step explanation:

Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt

Applying the formula given above

N=Noe^rt

No = 2.62 million

r = 3.5% = 0.035

t = 2010 - 2004 = 6 years

N = 2.62 × e^6 × 0.035

N = 3.2322365171 million

= 32,322,237 millon

Approximately = 3.23 millon

2. Given log35 = 1.465, approximate the value of log325.

Answers

9514 1404 393

Answer:

  2.930

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a^b) = b·log(a)

___

Here, this means ...

  [tex]\log_3(25)=\log_3(5^2)=2\cdot\log_3(5)=2\cdot1.465\\\\\boxed{\log_3(25)=2.930}[/tex]

(WILL GIVE BRAINLIEST TO EVERY QUESTION ANSWERED ON MY PROFIL) Debra Goforth’s savings account shows a balance of $904.31 on March 1st. The same day, she made a deposit of $375 to the account. She also made deposits of $500 on April 1st and May 1st. The bank pays an annual interest rate of 5.5 percent. Use your Compounded Daily chart to calculate the amount in her account on May 29th.

Answers

Answer:

$4625.10

Step-by-step explanation:

Her account already had $904.31

You now need to add $375.

Then add $500 twice.

Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.

45% of 1279.31 is 575.68

Now we add the $575.68 to $1279.31

April is a new month and she deposited $500.

45% of 1854.99 is 834.74

Add $834.74 to $1854.99

Then she deposits 500 on May, another new month.

I think this step is obvious. Just follow what you did last time.

This leaves her with $4625.10

I’ll give brainliest please help

Answers

Answer:

130

Step-by-step explanation:

91 is 70 percent of the price

70% of 130 is 130*0.7 = 91

Christine bought 9m ribbon lace for her school project. One yard of the lace cost P5.00
How much did Christine pay in all?​

Answers

Step-by-step explanation:

Given 1 yard = 0.9144m

0.9144 m = 1 yard

1 m = 1/0.9144 yards = 1.094yards

9m = 9 x 1.094 yards = 9.846yards

given 1 yard = P5.00

9.846 yards = P5.00 x 9.846 = P49.23

Click on the length of the pencil

Answers

Answer:

2 and 3/4

Step-by-step explanation:

The tiny lines between each inch is worth 1/4.

The answers would be 2.75 or 2 and 3/4 :)

The value of a car with an initial purchase price of $15,250 depreciates by 16% per year. How much is the car worth after 6 years? Find f(6):

a=15,250

r=0.016

x=6

Please correct me if my rate is wrong please provide the work.

Answers

Answer:

$13842.43

Step-by-step explanation:

Given data

Value of car=$15,250

Rate of depreciation= 16%

Time = 6 years

We can use the exponential function below to model the value of the car after 6 years

v(t)= a(r)^x

But r= 1-0.016----------Because the value is depreciating

a=15,250  

r=0.016  

x=6

Substitute

v(t)= 15250(1-0.016)^6

v(t)=  15250(0.984)^6

v(t)=  15250*0.9077

v(t)= $13842.43

Hence the value will be $13842.43 after 6 years

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