Find the equation in slope-intercept form (10,4) that is perpendicular to y=5x-3

The classes At the middle school want to rise money the 6 grade runs a bake sale 5 hours and makes 170 the 7 grade sets up a dru

kaheart [24]

Sixth grade
Because if you divide their total profit by the total amount of hours they worked, you would find that the sixth grade's income per hour is the highest.
Sixth grade: 170÷5=34
Seven grade: 112÷4=28
Eighth grade: 192÷6=32

8 0

2 years ago

What percent of students ran the mile in 12 minutes or less?

otez555 [7]

41% of students ran in 12 minutes or less.

Using the histogram we see that there were 2+12+11+9=34 students that ran. Out of those, 2+12=14 ran in 12 minutes or less (the first two bars).

14/34 = 0.411 = 41%.

5 0

3 years ago

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

Range:

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

Mathematics in the london eye answers

san4es73 [151]

CENTRAL ANGLE:
There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.

The full circle in degrees is 360°, but you want radians. 
The full circle in radians is 2π. 
2π / 32 
= π/16 radians

ARC LENGTH 
The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.

AREA OF SECTOR: 
Ditto on this. You have the full area from a prior question. Now just divide it by 32

6 0

3 years ago

A movie is 2 hours and 28 minutes long it starts at 7:20pm at what time will the movie end

umka2103 [35]

Movie starts 7:20 PM
2 hours = 02:00
28 minutes = 00:28

1.) 2 hours and 28 minutes = 02:28
2.) Movie starts 7:20 PM

You want to find out what time the movie will end

07:20 PM (start time)
+ 02:28 (movie time)
-------------------------------------
09:48 PM (movie end)

The movie will end at 9:48 PM

6 0

3 years ago

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