If f (x) = -2/3x -1 what is the value of f (9)

The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What i

In-s [12.5K]

Answer:

$8.182X10^8 $pounds$

a=8.182 and b=8

Step-by-step explanation:

Weight of the Empire State Building = $7.3X 10^8$ pounds.

Weight of the One World Trade Center building= 88,200,000 pounds.

= $8.82 X 10^7$

The addition of the two:

$=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds$

Comparing with the form: $aX10^b$

a=8.182 and b=8

4 0

3 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

PLEASE HELP I'M BEING TIMED!!

lyudmila [28]

Answer:

It will be A

Step-by-step explanation:

Hope this helped you out

8 0

3 years ago

Read 2 more answers

If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gy

Papessa [141]

Answer:

<em>It would take 28 months for Gym Strong to be a better buy.</em>

Step-by-step explanation:

There are two possible options for gyms to choose from:

Gym Strong charges $350 plus $15 a month

Gym Fit charges $100 plus $24 a month.

Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.

Let's solve this by analyzing the differences in fixed fees and monthly fees.

The difference of fixed fees is $350 - $100 = $250

The difference on monthly fees is $24 - $15 = $9

Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.

It would take 28 months for Gym Strong to be a better buy.

5 0

3 years ago

How much interest is earned on $300 at 6% for 6 years?

miskamm [114]

Answer:

108 dollars

Step-by-step explanation:

First, let's convert 6% to a decimal.

We get 0.06 because we multiplied (or divided by 100) it by 1/100.

Now, let's do 0.06 * 300 to get interest on one year. This equals to 18$

Let's now do 18 * 6 to get

108 dollars

7 0

3 years ago