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2 years ago

15

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through poi

nts (3, StartFraction 108 Over 5 EndFraction), (2, 36), (1, 60), (0, 100). Which function represents the given graph?

1 answer:

iVinArrow [24]2 years ago

7 0

Answer:

y=100* $0.6^{x}$

Step-by-step explanation:

You might be interested in

In Exercises 15 and 16, tell whether the triangle with the given side

Nata [24]

15. 10 cm, 10 cm, V200 cm : Right Angled Triangle

16. 9 in., 16 in., 25 in. : Not a right angled triangle

Step-by-step explanation:

In order to check whether the given sides form a right angled triangle, we check if the sum of squares of two shorter sides is equal to the square of third longest side.

So

<u>15. 10 cm, 10 cm, V200 cm</u>

$The\ shorter\ sides\ are\ 10cm\ and\ 10cm\\Let \\a=10\\b=10\\c=\sqrt{200}So,\\c^2=a^2+b^2\\(\sqrt{200})^2=(10)^2+(10)^2\\200 = 100+100\\200 = 200$

<u>The triangle is a right angled triangle.</u>

<u>16. 9 in., 16 in., 25 in.</u>

Here

a = 9 in

b=16 in

c=25 in

So,

$c^2=a^2+b^2\\(25)^2=(9)^2+(16)^2\\625=81+256\\625=337$

<u>The given triangle is not a right angled triangle.</u>

Keywords: Triangle, Right angled Triangle

Learn more about triangle at:

#LearnwithBrainly

3 0

3 years ago

A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use

Lerok [7]

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

$V = \pi r^2h$

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that $h = 12, r = 1.5$

What is its volume?

$V = \pi r^2h = 3.14(1.5)^2(12) = 84.78$

It's volume is of 84.78 cubic inches.

6 0

2 years ago

Pls help it is khan academy :)

Whitepunk [10]

Answer:

4x-12

Step-by-step explanation:

8 0

2 years ago

HELP!! 15 POINTS

Sladkaya [172]

<span>1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33)
</span><span>
Yes y=1.375x

</span><span>2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36)
</span>No y does not very directly with x*** <span>

</span><span>3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580)
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship.
</span><span>58/1 your car travels 58 miles in 1 hour

</span><span>4.what is the slope of the line that passes through the pair of points (2,5) and (8,3)

</span>-1/3

<span>4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7)
</span>
-3

<span>5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)

-26/27

</span><span>6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3

Y-2=3(X-5)

7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5

Y+5=-2/5(X+3)

</span><span>8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54

Y+7=-0.54(x-4)

9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64)

Y-16=8(X-2)***
</span>
<span>10. Write y=-2/3x+7 in standard form

2x+3y=21

11. Write y=-1/2x+1 in standard form using integers

X+2y=2

</span>

3 0

2 years ago

Read 2 more answers

George observes that for every increase of 1 in the value of x, there is a increase of 60 in the corresponding value of y. He cl

Brums [2.3K]

Hi there!

<u><em>FACTS</em></u><em> :</em>

<em>To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).</em>

<u>STEPS TO ANSWER:</u>

x = 1 ; y = 90 → $\frac{1}{90} =$ 1 ÷ 90 = <u>0.01111111...</u>

x = 2 ; y = 150 → $\frac{2}{150} =$ 2 ÷ 150 = <u>0.0133333...</u>

x = 3 ; y = 210 → $\frac{3}{210} =$ 3 ÷ 210 = <u>0.01428571</u>

x = 4 ; y = 270 → $\frac{4}{270} =$ 4 ÷ 270 = <u>0.0148148...</u>

x = 5 ; y = 330 → $\frac{5}{330} =$ 5 ÷ 330 = <u>0.01515152</u>

<em>** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.</em>

⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.

There you go! I really hope this helped, if there's anything just let me know! :)

5 0

3 years ago