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?​

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

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;

https://brainly.com/question/952755

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;

https://brainly.com/question/19625319

#SPJ12

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

https://brainly.com/question/20339811

#SPJ8

Answer:

1000

Step-by-step explanation:

270 is 30% of 900 total who completed.

900 is 90% of 1000

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

Answer:

the associative property of addition i think

Step-by-step explanation:

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.

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.

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

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.

Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉

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

Answer:

150 is the LCM for 30 and 75

Answer:

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

Step-by-step explanation:

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

Answer:

Rational

Step-by-step explanation:

You are able to put 18.18 in a fraction.

Hope this helped, Have an AMAZING day/night!

Answer:

(5,100)

Step-by-step explanation:

Answer:

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

What is the correct answer to 9 + 3?

12

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

Answer:

1 result(s) found

25

9⋅(r−25)

​  

Step-by-step explanation:

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

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!

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

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!

Answer:

607 thousand

Step-by-step explanation:

Answer:

508,000

Step-by-step explanation:

I hope this helps!

Answer:

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

Answer:

The first three

Step-by-step explanation:

Answer:which  z sqore are u talking about

Step-by-step explanation: