The expression 3x^2 + x +1 is the height of the building. The expression 2x - 2 is the distance from the floor of the cafeteria to the top of the building. What is the expression for the height from the ground to the floor of the cafeteria?​

Answers

Answer 1

Answer:

3x²-x+3

Step-by-step explanation:

Given

Height of the building =  3x^2 + x +1

distance from the floor of the cafeteria to the top of the building = 2x -2

To get the expression for the height from the ground to the floor of the cafeteria, we will use the formula:

Height of the building = (distance from the floor of the cafeteria to the top of the building ) + (he height from the ground to the floor of the cafeteria)

substitute the given parameter into the formula:

3x^2 + x +1 = 2x -2 + P

P = 3x^2 + x +1 - (2X-2)

P = 3x^2 + x +1 - 2x+2

collect like terms:

P = 3x^2 + x-2x+2+1

P = 3x²-x+3

Hence the expression for the height from the ground to the floor of the cafeteria is 3x²-x+3


Related Questions

I need help with this one

Answers

Answer:

The first three

Step-by-step explanation:

PLEASE HELP IT'S DUE NOW!!

Karina had $32 when she arrived at the carnival. After riding six rides, she had $17 left. Solve 32 - 6x = 17 to find the price of each ride.

Answers Choices:
A. $2.50
B. $8.17
C. $9.00
D. None of the above

If you answer, thanks SO much!!!

Answers

Answer: It is A. What grade are you in

Step-by-step explanation:

Answer:

A. 2.50

Step-by-step explanation:

32 - 17 = 15, so you lost 15 dollars.

15 divided by 6 = 2.50

What is the cumulative area from the left under the curve for a z-score of -0.875? What is the area on the right of that z-score?

please explain why for each step and excel formula

Answers

Answer:which  z sqore are u talking about

Step-by-step explanation:

Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?

Answers

Answer:

cosθ = c/√1+c²

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Answers

The length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.

Given that a hydrogen atom has about 1.04 × 10⁻¹⁰ meters diameter, whereas a protein molecule has an overall length of 2 × 10³ times the diameter of a hydrogen atom.

We need to find the length of the protein molecule, in meters and in scientific notation.

We must multiply the diameter of a hydrogen atom by the specified factor (2 × 10³), in order to determine the length of the protein molecule in meters.

Let's compute the amount:

Length of protein molecule = Diameter of a hydrogen atom × 2 × 10³

Diameter of a hydrogen atom = 1.04 × 10⁻¹⁰ meters

Length of protein molecule = 1.04 × 10⁻¹⁰ meters × 2 × 10³

To multiply numbers in scientific notation, we add the exponents and multiply the coefficients:

Length of protein molecule = 2.08 × 10⁻⁷ meters

So, the length of the protein molecule, written in scientific notation, is approximately 2.08 × 10⁻⁷ meters.

Learn more about scientific notation click;

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The length of the protein molecule, in meters and written in scientific notation, is approximately 2.08 × 10^(-7) meters.

To calculate the length of the protein molecule in meters, we'll start with the given diameter of a hydrogen atom and multiply it by the scaling factor of 2000. Let's perform the calculations:

Diameter of a hydrogen atom = 1.04 × 10^(-10) meters

Length of the protein molecule = 2000 × (Diameter of a hydrogen atom)

Multiplying the diameter by the scaling factor:

Length of the protein molecule = 2000 × (1.04 × 10^(-10))

When multiplying numbers written in scientific notation, we can multiply the coefficients and add the exponents:

Length of the protein molecule = 2000 × 1.04 × 10^(-10)

Calculating the coefficient:

2000 × 1.04 = 2080

Calculating the exponent:

10^(-10)

Putting the coefficient and exponent together:

Length of the protein molecule = 2080 × 10^(-10)

Writing it in scientific notation:

Length of the protein molecule = 2.08 × 10^(-7)

for such more question on length

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magazine subscription cost $29.88 for 12 issues or $15.28 for six issues which subscription cost more per issue

Answers

Answer:

$15.28 for 6 issues cost more

Step-by-step explanation:

$29.88 divided by 12 is $2.49

$15.28 divided by6 is $2.546

I need help with Number 7 please!!!

Answers

Answer:

8.06 ft or [tex]\sqrt{65}[/tex]  ft

Step-by-step explanation:

Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you [tex]\sqrt{65}[/tex]  ft per side. This can be approximated to 8.06 ft.

8.06 ft
Mark me as the brainliest please I spent 25 hours working on this. Thank you very much little boo. You are so segsy. Go get some Bob pics from mother’s boyfriend. 8.06 under your di37 hole

608 thousands minus 1 hundred thousand

Answers

Answer:

607 thousand

Step-by-step explanation:

Answer:

508,000

Step-by-step explanation:

608000 - 100000 = 508,000

I hope this helps!


2. Use prime factorization to find the
LCM of 30 and 75.

Answers

Answer:

150 is the LCM for 30 and 75

Question 2

20 pts

If the domain of the coordinate transformation f(x, y) = (y + 2,- x - 4) is (1,-4), (3,-2), (0.-1), what is

the range?

O (-5,-2), (-7,0).(-4,1)

O (3.0), (5.-2), (2,-3)

0 (0,3), (-2,5),(-3,2)

O (-2,-5), (0, -7), (1, -4)

Answers

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of [tex]f(x, y) = (y+2, -x-4)[/tex], which are: [tex]A(x,y) = (1, -4)[/tex], [tex]B(x,y) = (3,-2)[/tex] and [tex]C(x,y) = (0,-1)[/tex].

Then we proceed to find all elements of range:

[tex]A(x,y) = (1, -4)[/tex]

[tex]f(1,-4) = (-4+2,-1-4)[/tex]

[tex]f(1,-4) = (-2,-5)[/tex]

[tex]B(x,y) = (3,-2)[/tex]

[tex]f(3,-2) = (-2+2,-3-4)[/tex]

[tex]f(3,-2) = (0,-7)[/tex]

[tex]C(x,y) = (0,-1)[/tex]

[tex]f(0,-1) = (-1+2,0-4)[/tex]

[tex]f(0,-1) = (1,-4)[/tex]

Which corresponds to option D.

Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.001x3 + 5x + 250

Answers

Answer:

50 units

Step-by-step explanation:

Find the number of units x that produces the minimum average cost per unit C in the given equation.

C = 0.001x³ + 5x + 250

unit cost f(x) = C/x

= 0.001x³/x + 5x/x+ 250/x

f(x) = 0.001x² + 5 + 250/x

f'(x) = 0.002x - 250/x²

We equate the first derivative to zero

0.002x - 250/x² = 0

0.002x = 250/x²

Cross Multiply

0.002x × x² = 250

0.002x³ = 250

x³ = 250/0.002

x³ = 125000

x = 3√(125000)

x = 50 units

Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.

A metal bar has the D of 7.9 g/mL. If the volume of the bar is 500mL, what is the mass in kg?​

Answers

The density of a substance is the mass per unit volume. The mass of the metal bar is 3.95 kg.

What is density?

The density of a substance is the mass per unit volume.

It can be given as,

[tex]\rho=\dfrac{m}{v}[/tex]

Here, [tex]m[/tex] is the mass of the substance and [tex]v[/tex] is the volume of hte substance.

Given information

A metal bar has the D of 7.9 g/mL .

Volume of the bar is 500 mili liter.

Suppose the mass of the metal bar is [tex]m[/tex] grams. Thus put the values in the above formula as,

[tex]\rho=\dfrac{m}{v}\\7.9=\dfrac{m}{500}\\[/tex]

Solve for m,

[tex]m=500\times7.9\\m=3950[/tex]

Thus the mass of the metal bar is 3950 grams. Convert it into the kg as divide by 1000. Thus,

[tex]m=\dfrac{3950}{1000}\\m=3.950[/tex]

Hence the mass of the metal bar is 3.95 kg.

Learn more about the density of the substance here;

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Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?

Answers

Answer: $20,700

Step-by-step explanation:

Given that :

List price of car = $24,000

Dealer's cost = 85% of the list price of the car

Dealer acceptance cost = $300 over the cost

Hence, total amount to be paid :

Dealer's cost + dealer's acceptance cost

Dealer's cost = (0.85 * $24,000) = $21,400

Hence, Total cost :

$20,400 + $300 = $20,700

Josh’s walking stick is 4.875 feet long what is the same length written as a mixed number

Answers

4 219/250 is 4.875 as a mixed number

15 tens 7 ones what is the answer?

Answers

Answer:

157

Step-by-step explanation:

Answer:    15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.

Step-by-step explanation: Hopefully this helped!

If the measure of 1 is 50 degrees what is the measure of 2 ?

Answers

Answer:

100

Step-by-step explanation:

if 1 is 50 then the measure of 2 would be 100

Answer:

The measure of angle 2 is

Step-by-step explanation:

angle 1 is 50 degrees and it creates a linear pair (adds up to 180) with the angle right under it.

so we can say that 50+x=180  (x represents angle 2)

subtract x from both sides ,  50-50+x=180-50

x= 130

Indicate which property is illustrated in Step 2
7 + (1 + 7) + 0 = 7+ (7 + 1) + 0
= (7 + 7) + (1 + 0)
= (7 + 7) + 1
= 14 +1
Step 1
Step 2
Step 3
Step 4
OA. commutative property of multiplication
OB. identity property of addition
oc. distributive property
OD. associative property of addition

Answers

Answer:

the associative property of addition i think

Step-by-step explanation:

The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
, and the number of students who got a grade higher than 84% is about
.

Answers

2 babababababababbabababababababababababa

Answer:

(5,100)

Step-by-step explanation:

A music website sold 68 single songs and 40 albums today. The number of single downloads has been increasing by 12 each day. The number of album downloads has been decreasing by 2 each day. If these trends continue, in how many days will the number of single downloads be 5 times the number of album downloads?

Answers

Answer:

In 66 days will the number of single downloads be 5 times the number of album downloads

Step-by-step explanation:

For the music website, we know 68 single songs and 40 albums were sold today.

The number of single downloads increases by 12 each day. This means that in t days, there will be:

68 + 12t single downloads

The number of album downloads increases by 2 each day. In t days, there will be:

40 + 2t

We need to find when the following condition is met:

68 + 12t = 5(40 + 2t)

Operating:

68 + 12t = 200 + 10t

Rearranging:

12t - 10t = 200 - 68

2t = 132

Solving:

t=132 / 2

t = 66 days

In 66 days will the number of single downloads be 5 times the number of album downloads

90% of runners in a marathon successfully completed it. 30% of these runners were men. How many total runners began the marathon if 270 men completed it?​

Answers

Answer:

1000

Step-by-step explanation:

270 is 30% of 900 total who completed.

900 is 90% of 1000

Why was Russia slow to modernize?

Answers

Answer:

Russian modernization was slow to take place because the concepts of modernization conflicted with the autocratic power structure itself and amplified social conflicts in the country.

Explanation:

Alexander II, amid internal problems, sought to modernize the country and expand its domains in Asia. to this end, he abolished servitude and instituted wage labor on a large scale. Alexander II even established councils, the Ziemstvos, responsible for political participation in Russian lands, but still under the tutelage of the Tsar. Newspapers and magazines were created and, apparently, Russia was moving towards political modernization.

However, ethnic minorities organized themselves and demanded autonomy or political apparatus of representation within the Empire, which affected the autocratic power of the tsar. Alexander II responded to these movements with the force of arms, and massacres were perpetrated by his order. As it was understood that the modernization of the country threatened the autocracy of the current government, the Tsar decided to delay the modernization of the country.

Step-by-step explanation:

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

10 Points if you answer this!!!!

Answers

Answer:

1 result(s) found

25

9⋅(r−25)

​  

 

Step-by-step explanation:

Anyone ??? Help with this one

Answers

Answer:

(4x-3y)(4x+3y)

Step-by-step explanation:

This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)

Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].

It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.

Now, you need to do (4x-3y)(4x+3y)

Hope this helps

The algebra tiles represent the perfect square trinomial x2 + 10x + c.

What is the value of c?
c =

Answers

ANSWER:
I think is c=25

Is 18.18 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

You are able to put 18.18 in a fraction.

Hope this helped, Have an AMAZING day/night!

9+3 sayısının doğru cevabı kaçtır

Answers

What is the correct answer to 9 + 3?

12

PLEASE HELPPPPPP
the side length of the base of a rectangular prism with a height of 18 inches can be found with the equation b=(v/18)^1/2 v is the volume of the prism find the side length of the base of the volume of the prism is 4050 cubic meters

Answers

Answer:

15 if b is supposed to the side length, √15 if b is the base which is a square.

Step-by-step explanation:

natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉

The sum of twice a number n and 8 is at most 5

Answers

Answer:

n is less than or equal to -1.5

Step-by-step explanation:

2n+8 is less than or equal to 5.

2n is less than or equal to -3

n is less than or equal to -1.5

Answer:

n is less than or equal tn is less than or equal to -1.5

Step-by-step explanation:

so it would be 2n + 8 ≤ 5  and 2n + 8 ≤ 5

hope this helped!

p.s it would be cool if you gave me brainliest

Select all the partial products for

9

×

813

.


A.

12


B.

27


C.

90


D.

900

Answers

Answer:

ok639010 is the answer of the day when I am in the toilet

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