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raketka [301]
3 years ago
12

Find the y intercept. y=-(2^x)

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Hello!

To find the y-intercept of any given equation, you will need to substitute x for zero.

Also, to write the y-intercept as an ordered pair, it will look like (0, y), where y is the y-intercept, and x-value is zero because we substituted zero into all the x-values of the equation.

y = -(2^x) (substitute x = 0)

y = -(2^0) (any exponent raised to the power of zero is equal to one)

y = -(1) (simplify)

y = -1

Therefore, the y-intercept of the function y, is (0, -1).

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A scientist wants to estimate the number of roads living near a lake.
QveST [7]
90 + 50 = 140
140 - 7 = 133
130 - 140
7 0
3 years ago
Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."
Yuliya22 [10]

Answer:

a) Circumference of the circle = 56.52 in

b) Area of the circle = 254.34 in²

Step-by-step explanation:

Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza."

Note that:

Pizza is Circular in shape

a) What is the approximate circumference of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the circumference of a circle when given that diameter = πD

Where D = Diameter of the circle = 18 in

π = 3.14

Hence,

Circumference of the circle = 3.14 × 18 in

= 56.52 in

b) What is the approximate area of the Super Pizza? Use 3.14 for π. Show your work.

The formula for the area of a circle = πr²

Radius = Diameter/2

Diameter = 18 in

Radius = 18 in/2 = 9 in

The area of the circle = 3.14 × 9²

= 254.34 in²

8 0
3 years ago
Only 9 members of the math club showed up for yesterday's meeting. This is only 20% of the total amount of members. How many tot
jek_recluse [69]

Answer:

There is a total of 45 members in the math club.

Step-by-step explanation:

What I did is I multiplied 9 by 5 and got 45. I multiplied 9 by 5 because the question stated that 9 students are 20%. 20% times 5 would be 100%, which would be the total number of students.

Hope this helped :)

3 0
3 years ago
Read 2 more answers
A jet travels 590 miles in 5 hours; how far can it travel in 11 hours. With an explanation.
White raven [17]
First divide 590 by 5 which equals 118
then take 118 and multiply by 11 which equals 1298 miles. the jet will be able to travel 1298 miles in 11 hours
5 0
2 years ago
Read 2 more answers
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume
aalyn [17]

Answer : The correct option is, (A) 54\pi cm^3

Step-by-step explanation :

First we have to calculate the volume of cylinder.

Formula used:

Volume of cylinder = \pi r^2h

where,

r = radius = 3 cm

h = height = 18 cm   (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)

Volume of cylinder = \pi (3cm)^2\times (18cm)

Volume of cylinder = 162\pi cm^3

Now  we have to calculate the volume of 3 solid spheres.

Formula used:

Volume of 3 spheres = 3\times \frac{4}{3}\pi r^3

Volume of 3 spheres = 4\pi r^3

Volume of 3 spheres = 4\pi (3)^3

Volume of 3 spheres = 108\pi cm^3

Now we have to calculate the amount of empty space within a cylinder.

Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres

Amount of empty space within a cylinder = 162\pi cm^3-108\pi cm^3

Amount of empty space within a cylinder = 54\pi cm^3

Therefore, the amount of empty space within a cylinder is, 54\pi cm^3

5 0
3 years ago
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