Mathematics College

Myra is taking her first hot-air balloon ride! The balloon was at an altitude of 288 meters until an air current caused it to rise another 36 meters.
What is the altitude of the balloon now?

Answers

Answer 1

The altitude of the balloon now is 324 meters

How to determine the altitude of the balloon now?

From the question, we have the following parameters that can be used in our computation:

Initial altitude = 288 meters

Rise = 36 meters

The altitude of the balloon now is calculated as

Current altitude = Initial altitude + Rise in altitude

Substitute the known values in the above equation, so, we have the following representation

Current altitude = 288 + 36

Evaluate the sum

Current altitude = 324

Hence, the current altitude is 324 meters

Related Questions

3n^2-5n-6=9 help please!

Answers

Answer:

3n^2 -5n -6 = 9 This is a quadratic Equation.

3n^2 -5n -15 = 0

It is solved with the Quadratic Formula:

n = [-b +-sqr root (b^2 - 4ac)] / 2a

a = 3

b = -5

c= -15

n = [--5 +- sqr root(25 -4*3*-15)] / 6

n = [5 +- sqr root (25 + 180) / 6

n = [5 +-sqr root (205) ] / 6

n = 5 + 14.3178210633 / 6

n1 = 19.3178210633 / 6

n1= 3.2196368439

n2= 5 - 14.3178210633 / 6

n2 = -9.3178210633 / 6

n2 = -1.5529701772

Step-by-step explanation:

In this combined function, the domain is all real numbers for x except?( x-2) / (x+5)

-2
2
-5
5

Answers

-5 because the denominator can’t equal zero

Erick bought a game for $9.78, a toy for $6.34, and a sandwich for $4.91. If he started with $30, about how much money does he have left

Answers

Answer: $ 8.97

Step-by-step explanation:

Game =$9.78

toy=$ 6.34

sandwich =$4.91

Total amount spent=$9.78+$6.34+$4.91=> $21.03

Total amount=$30

left amount=total amount- amount spent

= $30-&21.03

=$8.97

If the principal is $200 and the interest rate is 4 percent, what is the simple interest earned in one year?
А.$8
B.$50
C.$800

Answers

Answer:

Step-by-step explanation:

A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?

Answers

Answer:

120

Step-by-step explanation:

You have 15 inches and 1 and 8 devide 15 multiply 1 and 8

Answer:960? correct for me!

Step-by-step explanation:

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56

Answers

Answer:

Step-by-step explanation:

Find the (a) mean, (b) variance, and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results. Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week. You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week. The random variable represents the number of U.S. mothers who choose fast food as a dining option for their families one to three times a week.

Answers

Answer:

a) The mean is 3.15.

b) The variance is 1.1655.

c) The standard deviation is 1.08.

d) The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week.

This means that [tex]p = 0.63[/tex]

You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week.

This means that [tex]n = 5[/tex]

(a) mean

[tex]E(X) = np = 5*0.63 = 3.15[/tex]

The mean is 3.15.

(b) variance

[tex]V(X) = np(1-p) = 5*0.63*0.37 = 1.1655[/tex]

The variance is 1.1655.

(c) standard deviation

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.63*0.37} = 1.08[/tex]

The standard deviation is 1.08.

(d) interpret the results.

The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.

The question I’m trying to figure out is What is y?

Answers

Answer:

y = 136

Step-by-step explanation:

x + 54 + 82 = 180

x + 136 = 180

x = 44

x + y = 180

44 + y = 180

y = 180 - 44

y = 136

Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.

Answers

The area of equiangular triangle with radius 6 inches is 27√3 square inches.

What is equiangular triangle?

A triangle with three equal interior angles is called equiangular triangle.

In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.

What is the formula for finding the area of equiangular triangle?

The formula for finding the area of equiangular triangle is

[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]

Where,

a is the side length of the triangle.

Let the side length of the equiangular triangle be a.

According to the given question.

We have a equiangular triangle with a radius 6.

Since, the radius of the equilateral triangle or equiangular triangle is given by

Radius = [tex]\frac{a}{\sqrt{3} }[/tex]

⇒ a = 6√3 inches.

Therefore, the area of equiangualr triangle is given by

[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]

⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]

[tex]\implies Area = 27\sqrt{3}[/tex] square inches

Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.

Find out more information about area of equaingular triangle here:

https://brainly.com/question/2272529

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Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm

Answers

the answer is 7.006

Answer: 14.01274
Explanation: The formula of the diameter of a circle is 2xradius. We only have the Circumference so we divide 22 by pi which is 7.00637. After that we multiply the radius (7.00637) by 2 which gives us 14.01274. If you round it is equal to 14.0

the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer

Answers

Answer:

circuit compare

with the current in a series circuit, if both circuits have the same

type of cell and the same number of identical flashlight bulbs?

circuit compare

with the current in a series circuit, if both circuits have the same

type of cell and the same number of identical flashlight bulbs?

circuit compare

with the current in a series circuit, if both circuits have the same

type of cell and the same number of identical flashlight bulbs?

circuit compare

with the current in a series circuit, if both circuits have the same

type of cell and the same number of identical flashlight bulbs?

circuit compare

with the current in a series circuit, if both circuits have the same

type of cell and the same number of identical flashlight bulbs?

circuit compare

with the current in a series circuit, if both circuits have the same

type of cell and the same number of identical flashlight bulbs?

circuit compare

with the current in a series circuit, if both circuits have the same

type of cell and the same number of identical flashlight bulbs?