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timurjin [86]
3 years ago
11

Given the following exponential function, what is the initial amount y 60(1.71)^x?

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

60

Step-by-step explanation:

The initial y value can be found by setting x to 0. Anything to the power of 0 is 1, so 1.71^x when x is 0 is just 1. 60*1=60, which is the initial y value. Hope this helps!

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Susan found the equation of the best fit line for the data shown in the scatterplot. The slope of the line of best fit is
Ivan

Answer:

Negative

Step-by-step explanation:

From the scatter plot displayed, we could clearly observe the direction of the trend line as it produces a negative slope. For high values of y, the values of x are low and similarly, high values of x have low y values. Therefore, this kind of relationship between the two variables is considered negative.

7 0
3 years ago
Two consecutive positive numberside are such that the sum of their squares is 113. Find the two numbers
PolarNik [594]

the two consecutive numbers are 56 and 57

x+x+1=113

2x+1=113

2x=113-1

2x=112

x=112/2

x=56

therefore, x=56

x+1= 56+1= 57


3 0
3 years ago
What is the slope of the line that passes through the points (2,0) and (1,0)? Write
ICE Princess25 [194]

Answer:

m=0

Step-by-step explanation:

The slope of a line can be found using:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Let's call (2,0) our "2" coordinate, and (1,0) our "1" coordinate.

Coordinates are written as: (x,y)

Therefore, our x2 is 2 and y2 is 0. Our x1 is 1 and y2 is 0.

Substitute these values into the formula .

m=\frac{0-0}{2-1}

m=\frac{0}{1}

m=0

The slope of the line is 0

3 0
3 years ago
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced 3
grandymaker [24]

Answer:

t ≥ 1.5

Step-by-step explanation:

Lets take time for practicing the piano to be t

The number of hours to practice per week should be at least 6 hours

This is written as t ≥ 6

She already practiced 3 hours this week, thus the remaining hours to practice should be

t ≥ 3

The minimum remaining hours to practice for the remaining 2 days should be

t=3

If these hours are evenly divided, then in a single day she should practice

for t ≥ 1.5

8 0
3 years ago
A rectangle with an area of 5/8 ft² is dilated by a factor of 8. What is the area of the dilated rectangle?
gulaghasi [49]

Answer:

40 ft²

Step-by-step explanation:

Let the length of the original rectangle be L and original Breadth be B

it is given that the original area  is 5/8 ft²

i.e.

Original Length x Original Breadth = Original Area, or,

LB = 5/8 ft² ------------------(1)

Given that the dilation factor is 8,

Hence,

New Length = 8L and New Breadth = 8B

THerefore,

New Area = 8L x 8B

= 64 LB  (from (1) above , we know that LB = 5/8 ft², substitute into expression)

= 64 (5/8)

= 40 ft²

4 0
4 years ago
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