I need help! Find the measure of the indicated angle to the nearest degree.

The average rate of change of the function over the interval x = 0 to x = 4 is: 61/400.

Average rate of change = f(b) - f(a) / b - a

Given the function, f(x) = 2x - 1 / 3x + 5.

a = 0, f(a) = 2x - 1 / 3x + 5 = 2(0) - 1 / 3(0) + 5 = -1/5

b = 4, f(b) = 2x - 1 / 3x + 5 = 2(4) - 1 / 3(4) + 5 = 7/17

Average rate of change = 7/17 - (-1/5) / 4 - 0 = 61/400

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Answer:

[tex]\frac{31x-159}{168y}[/tex]

Step-by-step explanation:

[tex]\frac{x-4}{7y}[/tex] - [tex]\frac{x+7}{8y}[/tex] + [tex]\frac{x+3}{6y}[/tex]

the LCD of the denominators is 168y , then

[tex]\frac{24(x-4)-21(x+7)+28(x+3)}{168y}[/tex] ← distribute and simplify numerator

= [tex]\frac{24x-96-21y-147+28x+84}{168y}[/tex]

= [tex]\frac{31x-159}{168y}[/tex]

Answer:

[tex]\frac{31x - 159}{168y}[/tex]

Step-by-step explanation:

First we need to find a common denominator between 7y, 8y, and 6y. And the smallest common denominator is 336y, which I got by multiplying 7*8*6 and since they all share y, we can just keep the y without multiplying it.

Now, we need to multiply each fraction by the correct number on the top and bottom to reach 336. When we do this, we get [tex]\frac{x-4}{7y} (\frac{48}{48} ) - \frac{x+7}{8y}(\frac{42}{42}) + \frac{x+3}{6y}(\frac{56}{56})[/tex]. OMG. Well, now we need to expand the numerators...[tex]\frac{48x - 192}{336y} - \frac{42x + 294}{336y} + \frac{56x + 168}{336y} = \frac{62x - 318}{336y}[/tex]. Another OMG. But now we need to simplify...so we get [tex]\frac{31x - 159}{168y}[/tex]. Done.

Hope this helps! :)

Answer: (1,3)and (-4,-12)

Step-by-step explanation:

Answer: As a fraction it is 1/5 but as a percent 20%

Step-by-step explanation:

this is because 12/60=1/5 or 20%

answer is 20%

heres why

ok so if there is 60 balls all together out of all the color and you want to get a blue ball but the blue has less balls out of all the other colored balls so there is would be a less percent of getting a ball of that color out of 100%

you would need to take the blue color of balls and put in a fraction with the amount of balls together

so that would be 12/60

you half 12/60 and you would need to get the percent which is 20% so you have a 20% of getting a blue colored ball

Answer:

Hi! There are 3600 seconds in one hour.

Step-by-step explanation:

60 min. = one hour

60 seconds = one minute

:)

Answer:

8

Step-by-step explanation:

Concepts

The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. These points represent the x- and y-coordinates of the points.

Application

To find the slope of these points, we need to take two points and use the aforementioned formula. Let's take (0, 8), and (1, 16).

Solution

Therefore, the slope is 8.

Answer:

slope = 8

Step-by-step explanation:

Take 2 points from the given table:

[tex]\textsf{let}\:(x_1,y_1)=(0,8)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,0)[/tex]

Use the slope formula to find the slope:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-8}{-1-0}=\dfrac{-8}{-1}=8[/tex]

Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years

Answer:48V/10

Step-by-step explanation:

I got it right from Khan Academy

Answer:

total price = 100*80 = 8000

donated = 10 *80 = 800

sold = 90*88 = 7290

pofit = cp - sp

cp = 8000 sp = 7290

= 710

Step-by-step explanation:

Answer:

B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.

OR

D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.

Answer:207

Step-by-step explanation:

First divide 72/8 to find how many photos the scanner scans per minute which is 9

Then you multiply 9 by 23 = 207

Answer:

114 laps

Step-by-step explanation:

Multiply 200 x 57% :

Answer:

normal

Step-by-step explanation:

Dot Product of Vectors

As the dot product of the vectors equals 0, the vectors are normal.

Answer:

Smallest- 35689

Greatest- 98653

Answer:

35689 =- least

98653 = greatest

Step-by-step explanation:

this is because we want the bigger numkbners to be at the end for the smaller number and vise vera for the greater number,

Answer:

D. 4/8

Step-by-step explanation:

To find probability, you simply divide what you are looking for over the total. In the word, ILLINOIS, you have 4 vowels, and 8 letters total, so the probability of finding a vowel would be 4/8.

Answer:

19.00 x h + 25.00 =

What you make in a day if you work for h hours.

Step-by-step explanation:

You automatically make $25.00 when you show up.

So the equation is asking for how many hours. If you get $19 per hour

then it would be $19.00 x h (how many hours you worked) + $25.00.

Example:

If you worked for 5 hours and one day, then the equation would be

19.00 x 5= 95

95 + 25 (for showing up that day) = 120

So if you worked 5 hours for one day you would make 120

(This was just an example to further explain how the equation worked)

Hope this helped!

Have a great day!!

Answer:

(5,4)

Step-by-step explanation:

What is the solution of two function?

The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.

How do identify the solution via graph.

We can identify the solution of a system of equations via graph by looking at where the two functions intersect.

Identifying the solution.

Looking at the graph, the two lines intersect at (5,4)

The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)

The rule is

If two lines are graphed then their solution is their intersection point .

Here both f(x) and g(x) are intersecting at

So (5,4) is solution

Option C is correct

Answer:1,024

Step-by-step explanation:

    We will use the formula hint it gives:

[tex]\displaystyle {1^{st}\;term} * \text{common ratio}\,^{(\text{desired term -1})}[/tex]

[tex]-1 * -4^{6-1}[/tex]

[tex]-1 * -4^{5}[/tex]

[tex]-1*-1,024[/tex]

[tex]1,024[/tex]

    The 6th term in the sequence is 1,024.

Answer:

A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.

Step-by-step explanation:

Try writing this on your own words if you want :)

Answer:

The answer is  greater than or equal to 15 which is the third answer.

[tex]\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty[/tex]

I'm pretty sure it's water bro

Hi Student!

In the question we are given two numbers and told to find the geometric mean of them.  A normal mean would be just taking the average by multiplying them against each other and dividing by two.  However, for geometric mean we multiply them against each other but put them inside of a square root.

[tex]mean = \sqrt{a*b}[/tex]

[tex]mean = \sqrt{40*30}[/tex]

[tex]mean = \sqrt{1200}[/tex]

[tex]mean = \sqrt{20^2*3}[/tex]

[tex]mean = 20\sqrt{3}[/tex]

Therefore, our geometric mean is [tex]34.64[/tex] or [tex]20\sqrt{3}[/tex].

Answer:

If this is your question: john and jack divided there math homework.John solved twice as many problems as jack plus 1 more problem how many problems did each boy solve if there are 28 assigned problems?

Answer:

John: 19

Jack: 9

Step-by-step explanation:

Hope it helps! God bless!

Answer:

0, 2/5, 1/6,-3/4,-7/10

Step-by-step explanation:

this is just what i think i didint understand the no spaces or no commas or negatives thing but here you go i hope its right

Answer:

[tex]x=\frac{5}{2}[/tex]     or     x= -4

Step-by-step explanation:

To solve the quadratic equation, start by factorizing it.

[tex]2x^{2} +3x-20=0[/tex]

(2x -5)(x +4)= 0

Since the equation equals to zero, either one of its factor, i.e. (2x -5) or (x +4), can be equal to zero.

2x -5= 0     or     x +4= 0

Solve for x:

2x= 5         or           x= -4

[tex]\bf{x=\frac{5}{2}}[/tex]

_______

Alternatively, the quadratic formula can be used to solve the equation.

[tex]\boxed{x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} }[/tex]

This is especially useful when the quadratic equation cannot be factorized. To use the formula, ensure that the equation is in the form of [tex]ax^{2} +bx +c=0[/tex].

Additional:

For an example on solving quadratic equations using the quadratic formula, do check out the following!

Answer:

i guess you know its 40 now. :p

Step-by-step explanation: