A rock climber begins climbing at an altitude of 120 meters. She climbs at a rate of 50 meters per hour. Which equation can be used to find the altitude of the rock climber, y, after x hours?

Given:

An exponential function [tex]f(x)=ab^x[/tex] passes through the points (0, 12000) and (2, 3000).

To find:

The values of a and b.

Solution:

We have,

[tex]f(x)=ab^x[/tex]      ...(i)

It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get

[tex]12000=ab^0[/tex]

[tex]12000=a(1)[/tex]

[tex]12000=a[/tex]

Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get

[tex]3000=12000b^2[/tex]

[tex]\dfrac{3000}{12000}=b^2[/tex]

[tex]\dfrac{1}{4}=b^2[/tex]

Taking square root on both sides.

[tex]\pm \dfrac{1}{2}=b[/tex]

For an exponential function b cannot be negative. So, [tex]b=\dfrac{1}{2}[/tex].

Therefore, the value of a is 12000 and the value of b is [tex]\dfrac{1}{2}[/tex].

Answer:

D

Step-by-step explanation:

3x + 2(x + 1) = 12 ← distribute and simplify left side

3x + 2x + 2 = 12

5x + 2 = 12 ( subtract 2 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2 → D

d .2

d will be the answer

by simplify

Answer:

Answer

Step-by-step explanation:

Answer:

y=1/13x - 4/13

Step-by-step explanation:

Just follow the slope intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

Answer:

Answer choice B

Step-by-step explanation:

Here is the form you are using:

y=mx +b

Substitute:

y=6x-5

Answer choice B

Answer:

512??

Step-by-step explanation:

um i just multipled 8x8x8 but its probably wrong- sorry

Answer:

10x

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

Answer:

x = 5 and y = 7

Step-by-step explanation:

Given that,

PT = x+2, TR=y, QT=2x, TS=y+3

We need to find the value of x and y.

The diagonal of a parallelogram bisect each other. It means,

PT = TR and QT = TS

ATQ,

y = x+2 ...(1)

and

y+3 = 2x ....(2)

Subtracting equation (1) and (2).

y-(y+3) = x+2-2x

y-y-3 = 2-x

-3 = 2-x

x = 2+3

x = 5

Put the value of x in equation (1).

y = 5 + 2

y = 7

Hence, the values of x and y are x = 5 and y = 7.

Answer:

^ they are correct

Step-by-step explanation:

Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

Answer:

D.

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −4

y-intercept: (0,4)

Answer:

D.) d

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: -4

y-intercept: (0,4)

x: 0 & 1

y: 4 & 0

Hence the answer is coordinate grid D.

Answer:

6.5, 6.49

Step-by-step explanation:

The numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions.

Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given number: 6.58

Now, we have to find the number less than 6.58

6.58 < 6.583

6.58 > 6.5

6.58 = 6.58

6.58 >5.98

6.58 > 6.538

6.58 > 6.49.

Hence, the numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

Learn more about decimal here:

https://brainly.com/question/548650

#SPJ2

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

Answer:62.5

Hello

Step-by-step explanation:

1. 7.50 divided by 6 = 1.25 for 1 length of rope (Feet)

2.50x1.25=62.5

Hope this helped

Or I might be wrong Im not sure yet.

Answer:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Step-by-step explanation:

Given

[tex]Weekdays = \$m /hour[/tex]

[tex]Weekends = \$1.2m/hour[/tex]

Required

What does 9m + 3(1.2m) represent

The expression can be split to:

9m and 3(1.2m)

For 9m:

From the question, we understand that:

[tex]m = 1\ hour[/tex]

Multiply both sides by 9

[tex]9 * m = 1\ hour * 9[/tex]

[tex]9 m = 9\ hours[/tex]

This means that:

9m = the cost of lessons for 9 hours on weekdays

For 3(1.2m):

From the question, we understand that:

[tex]1.2m = 1 \ hour[/tex]

Multiply both sides by 3

[tex]3 * 1.2m = 1 \ hour * 3[/tex]

[tex]3(1.2m) = 3 \ hours[/tex]

This means that:

3(1.2m) = the cost of lessons for 3 hours on weekends

Hence, the expression represents:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Answer:

x = 4

Step-by-step explanation:

Two sides, GH and GI, in ∆GHI are of the same side length as corresponding two sides, TU and TV, in ∆TUV.

To prove that both triangles are congruent using the SSS Congruence Theorem, therefore, the their third sides, HI and UV must be equal.

Therefore,

9x - 21 = 15

Add 21 to both sides

9x - 21 + 21 = 15 + 21

9x = 36

Divide both sides by 9

x = 4

Answer:

x = -8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i had that on my test before

Answer:

− 414.302

(The answer is simplified, you did not specify the way to solve it.)

Answer:

4

Step-by-Step Explantion:

Base it always the big number not the little one on the top.

Answer:

2.29

Step-by-step explanation:

8.5-6.21

4 10

8.50

-6.21

2.29

Answer:

785 cm³

Step-by-step explanation:

3.14x5x5x10=785

sasssssssssssssssssssssssssssssssssssss

Answer:

The chosen topic is not meant for use with this type of problem.

−

3

,  

(

1

,

3

)

5

,  

(

1

,

1

)

4

,  

(

2

,

−

4

)

Step-by-step explanation:

Answer:18

Step-by-step explanation:4(-3) = -12, and 40-12=18

Answer:

18

Step-by-step explanation:

Answer: 18.84

1.  Multiply the radius by two (diameter)

2. Multiply the diameter by pi

3. Round

Answer:

the circles circumference is 18.84 cm

I think it's D because the y-intercept is (0, -2), and in D the filled in circle is on (0, -2) and it goes up one and right one, which is the slope. Although C does this it ends with only one filled in circle, but D still has the two circles and line in between them.

Answer:

(0,-1)

Step-by-step explanation:

(0,-1) will work because when you plug them is it is equivalent to 4