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dimaraw [331]
3 years ago
10

A candle burned at a steady rate. After 34 minutes, the candle was 11.2 inches tall. Eighteen minutes later, it as 10.75 inches

tall. Use and equation in point-slope form to determine the height of the candle after 2 hours. Round the answer to the tenth place if necessary.
After 2 hours, the candle will be how many inches tall?
Mathematics
1 answer:
stepladder [879]3 years ago
4 0
X = time, minutes
y = length, inches

When x = 32 min, y = 11.2 in
When x = 32+18 = 50, y = 10.75 in
Assume that a linear relatioship exists between x and y.

In table form, the given data is
x, min:   32       50
y, in:     11.2   10.75

The slope is
m = (10.75 - 11.2)/(50 - 32) = -0.025

In point-slope form, the required equation is


When x = 3 hours = 180 minutes, obtain
y - 10.75 = -0.025*(180 - 50) = -3.25
y = -3.25 + 10.75 = 7.5 in

Answer: 7.5 inches

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Answer:

75 feet

Step-by-step explanation:

If the circumference of the wheels is 5 feet, every full rotation the bike will travel 5 feet. Therefore, after 15 full rotations the bike will travel 15 * 5 = 75 feet.

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miv72 [106K]
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3 years ago
) The correlation between a car’s engine size and its fuel economy (in mpg) is r= -0.774. What fraction of the variability in fu
Zolol [24]

The fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.

Given that, r= -0.774.

To solve such problems we must know about the fraction of the variability in data values or R-squared.

<h3>What fraction of the variability in fuel economy is accounted for by the engine size?</h3>

The fraction by which the variance of the dependent variable is greater than the variance of the errors is known as R-squared.

It is called so because it is the square of the correlation between the dependent and independent variables, which is commonly denoted by “r”  in a simple regression model.

Fraction of the variability in data values = (coefficient of correlation)²= r²

Now, the variability in fuel economy = r²= (-0.774)²

= 0.599076%= 59.91%

Hence, the fraction of the variability in fuel economy accounted for by the engine size is 59.91%.

To learn more about the fraction of the variability visit:

brainly.com/question/2516132.

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1 year ago
This is 12 points!!!!<br> please me help i don't undestand it
Paha777 [63]

Answer:

10,36,3,144,6 and 24 in that order

Step-by-step explanation:

sorry if its wrong

3 0
2 years ago
The inverse of the logarithmic function f(x) = log0. 5x is f−1(x) = 0. 5x. What values of a, b, and c complete the table for the
Elan Coil [88]

The value of a, b and c can be calculated using the inverse function.

The calculated the value of a= 2, b=1 and c= -2.

Given:

The function is  f(x)=\log_{0.5}x and its inverse is f^{-1}(x)=0.5^x .

<h3>What is an inverse function?</h3>
  • The inverse function of a function is defined if f is a function that undoes the operation of f.
  • The inverse of f exists if and only if f is bijective, and if it exists, is denoted by f^{-1}.

Substitute the value of x= -1 in a given inverse function and calculate the value of a.

f^{-1}(x)=0.5^x\\&#10;f^{-1}(-1)=0.5^{-1}\\&#10;f^{-1}(-1)=2

Substitute the value of x  is 0 in given inverse function.

f^{-1}(x)=0.5^x\\&#10;f^{-1}(0)=0.5^0\\&#10;f^{-1}(0)=1

Substitute the value of x  is 2 in given inverse function.

f^{-1}(x)=0.5^x\\f^{-1}(2)=0.5^2\\f^{-1}(2)=-2

Therefore, the value of a= 2, b=1 and c=-2.

Learn more about inverse function here:

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