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3 years ago

A mountain climber found that the relationship between his altitude and the surrounding air

Mathematics

1 answer:

sukhopar [10]3 years ago

5 0

Answer:- 1/100 degrees Fahrenheit

Step-by-step explanation:

The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used

gladu [14]

Answer:

Part 1) $2x^{2}-32=0----> (-4,4)$

Part 2) $4x^{2}-100=0----> (-5,5)$

Part 3) $x^{2}-55=9----> (-8,8)$

Part 4) $x^{2}-140=-19----> (-11,11)$

Part 5) $2x^{2}-18=0----> (-3,3)$

see the attached figure

Step-by-step explanation:

Solve each quadratic equation

Part 1) we have

$2x^{2}-32=0$

Adds 32 both sides

$2x^{2}=32$

Divide by 2 both sides

$x^{2}=16$

take square root both sides

$x=\pm4$

therefore

The solutions are (-4,4)

Part 2) we have

$4x^{2}-100=0$

Adds 100 both sides

$4x^{2}=100$

Divide by 4 both sides

$x^{2}=25$

take square root both sides

$x=\pm5$

therefore

The solutions are (-5,5)

Part 3) we have

$x^{2}-55=9$

Adds 55 both sides

$x^{2}=9+55$

$x^{2}=64$

take square root both sides

$x=\pm8$

therefore

The solutions are (-8,8)

Part 4) we have

$x^{2}-140=-19$

Adds 140 both sides

$x^{2}=-19+140$

$x^{2}=121$

take square root both sides

$x=\pm11$

therefore

The solutions are (-11,11)

Part 5) we have

$2x^{2}-18=0$

Adds 18 both sides

$2x^{2}=18$

Divide by 2 both sides

$x^{2}=9$

take square root both sides

$x=\pm3$

therefore

The solutions are (-3,3)

7 0

3 years ago

You invest $850 into a stock market fund, which grows at a rate of approximately 4% each year. Write an equation that can be use

SCORPION-xisa [38]

We have been given that you invest $850 into a stock market fund, which grows at a rate of approximately 4% each year. We are asked to write an equation that can be used to calculate the amount of money in the fund after x years.

We will use exponential growth formula to solve our given problem.

An exponential function is in form $y=a\cdot (1+r)^x$ , where,

y = Final amount,

a = Initial amount,

r = Growth rate in decimal form,

x = Time.

Let us convert 4% into decimal.

$4\%=\frac{4}{100}=0.04$ .

We have $a=840$ and $r=0.04$ , so our equation would be:

$y=850\cdot (1+0.04)^x$

$y=850\cdot (1.04)^x$

Therefore, the equation $y=850\cdot (1.04)^x$ can be used to calculate the amount of money in the fund after x years.

8 0

3 years ago

I need help please ASAP im gonna fail if i dont get right will give 51 points

evablogger [386]

1. x = 20 , x² = 400 and x³ = 8000

2. x = 7 , x² = 49 and x³ = 343

Step-by-step explanation:

Given values are;

2000, 7, 400, 20, 4000, 200

We have to find x, x² and x³.

Part 1:

$x^3=8000$

We will take cube root to find x.

$\sqrt[3]{x^3} =\sqrt[3]{8000}$

$x=20$

Now, we will take square;

$(x)^2=(20)^2\\x^2=400$

Therefore;

x = 20 , x² = 400 and x³ = 8000

Part 2:

x² = 49 , x³ = 343

Taking square root on x²

$\sqrt{x^2}=\sqrt{49}\\x=7$

Therefore;

x = 7 , x² = 49 and x³ = 343

Keywords: cube root, square root

Learn more about cube root at:

#LearnwithBrainly

3 0

4 years ago

The figure is made up of a rectangle and 2 right triangles.

sladkih [1.3K]

<span>1259 units2 i hope this helps you</span>

7 0

4 years ago

Read 2 more answers

I really need help with 1 and 2 please help me

AlekseyPX

R=50 because 8×50=400 so that is what r would equal
The exponent would be 5 the fifth power, because since the number your using to multiply it by is 5 and you are multiplying is by 5 fives it would be 5 to the fifth power

4 0

3 years ago

Read 2 more answers