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Misha Larkins [42]
4 years ago
15

PLEASE HELP SOS

Mathematics
1 answer:
SVETLANKA909090 [29]4 years ago
8 0

Answer:

Part a) Is a growth function

Part b) The function's percent rate of change is 160%

Step-by-step explanation:

we have

f(x)=0.3(2.6^x)

This is a exponential function of the form

f(x)=a(b^x)

where

a is the initial value or y-intercept

b is the base of the exponential function

If b> 1---> we have a growth function

if b< 1---> is a decay function

r is the percent rate of change

b=(1+r)

In this problem we have

a=0.3

b=2.6

The value of b >1

so

Is a growth function

Find the value of r

r=b-1=2.6-1=1.6

convert to percentage

r=1.6*100=160\%

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The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How
Monica [59]

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find  How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

Sin\theta =\frac{Perpendicular}{Hypotenuse}

Sin22.3^{\circ} =\frac{AB}{AC}

AC=\frac{2600}{Sin22.3^{\circ}}

AC=\frac{2600}{0.379456159529}

AC=6851.9

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3 0
3 years ago
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100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial s
stellarik [79]

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

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6 0
3 years ago
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X+y=5<br> x×y=6<br> Solve simultaneously with steps
igor_vitrenko [27]

Answer:

(3, 2), (2, 3)

Step-by-step explanation:

x + y = 5

xy = 6

Solve the first equation for x.

x = 5 - y

Substitute 5 - y for x in the second equation.

xy = 6

(5 - y)y = 6

5y - y² = 6

y² - 5y + 6 = 0

Factor.

(y - 2)(y - 3) = 0

y - 2 = 0  or y - 3 = 0

y = 2  or y = 3

Now substitute 2 for y in the first equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

One solution is x = 3; y = 2, or (3, 2).

Now substitute 3 for y in the first equation and solve for x.

x + y = 5

x + 3 = 5

x = 2

Another solution is x = 2; y = 3, or (3, 2).

Answer: (3, 2), (2, 3)

7 0
2 years ago
Find the value of the variable.<br> All answers
svp [43]

First one.

Since the two angles are congruent through vertical angles theorem,

5x = 6x - 8

5x - 6x = -8

-x = -8

x = 8

Second one.

Use the 180° rule.

(8x - 2) + (2x + 2) = 180

8x - 2 + 2x + 2 = 180

8x + 2x + 2 - 2 = 180

10x = 180

x = 180 / 10

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Third one.

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7x = 5x + 40

7x - 5x = 40

2x = 40

x = 40 / 2

x = 20

6 0
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IRISSAK [1]
<h3>Answer:   x-3</h3>

Since p(3) = 0, this means x = 3 plugs into p(x) to get 0

We can write p(x) as p(x) = (x-3)q(x) where q(x) is some other polynomial that multiplies with (x-3) to lead to x^3-3x^2-x+3

Let's plug in x = 3 and see what happens

p(x) = (x-3)q(x)

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p(3) = 0*q(3)

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No matter what the result of q(3) was, it doesn't matter because it multiplies with 0 to get 0.

The general rule is: if p(k) = 0, then x-k is a factor of p(x). This is a special case of the remainder theorem.

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