1. Use the following table to answer the questions: (Note: f(x) is a continuous function)
[x] -2,3,4,8
[f(x)] 7, -2, 3, 6
[f'(x)]-4.5,-0.25,1,8

a. If g(x)=f(x), is g(x) a function?

b. Find f(g(4)).
c. Write the equation of the line tangent to g at x = -2.

PLEASE SEE PHOTO! Can you explain why my answers were wrong and can you find the correct answers to all of them?

Answer:

108 cm that my answer

sana makatulong

The answer is 508.9 cubed

108cm cubed is wrong

Answer:

  (D)  4/3π(8.06×10^16)

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³

__

Using the given value for the radius, the volume of the Sun is ...

  V = 4/3π(4.23×10^5 mi)³ ≈ 4/3π(8.06×10^16) mi³

Answer:

B. 325

Step-by-step explanation:

y = the total value of the amount of papers he has to deliver each week

44x + 61 = y

(7 days in a week - sunday = 6 days)

44(6) + 61 = y

264 + 61 = y

325 = y

Answer:

Answer "A" is correct

Step-by-step explanation:

I got it right on edge test

Total balls: 6 + 4 + 3 = 13

First pick green = total green / total balls = 4/13

adter picking the first ball there are 12 balls left.

Picking red = total red/ total balls left = 6/12 = 1/2

probability of picking both = 4/13 x 1/2 = 4/26 = 2/13

answer: 2/13

Answer:

256cm

Step-by-step explanation:

I'm assuming 16 and 16 are the 2 legs of the triangle.

The equation to get the area of a triangle is b x h /2

16cm x 16cm / 2 = 128cm

128cm x 2 triangles = 256cm

Answer:

6.25 bags of popcorn

Answer:

6.25 Bags

or

6 whole bags

Step-by-step explanation:

= 25 * 0.25 <-- (This is how you write percentage algebraically)

= 6.25 Bags

Answer:

(-0.6, 8.4)

Step-by-step explanation:

so first, we have to find out what x is. because y is equal to itself, we can substitute to get

[tex]x+9=-4x-6\\5x+9=6\\5x=-3\\x=-\frac{3}{5}[/tex]

now we can plug in the value of x to find y

[tex]y=-\frac{3}{5} +9\\y=8\frac{2}{5}=8.4[/tex]

your answer is written in the form (x,y) so the answer is (-0.6, 8.4)

Answer: Heyaa! ~

Your Answers are... (-0.6, 8.4)

Step-by-step explanation:

Hopefully this helps you!

~ Lets solve:

Use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation. You can then solve this equation as it will now have only one variable.

A diagram of parallelogram MNOP is attached below

We have side MN, || side OP, and side MP || NO

Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.

Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.

∠N and ∠O are supplementary by the rules of angles in parallel lines

∠O and ∠P are supplementary by the rules of angles in parallel lines

∠N+∠O=180° and ∠O+∠P=180°

∠N and ∠P are of equal size

we deduce further that ∠M and ∠O are of equal size

Hence, the correct statement to complete the proof is

∠M ≅ ∠O; ∠N ≅ ∠P

Answer:

see explanation

Step-by-step explanation:

(a)

the volume (V) of the cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × a² × 2a = 2a³π

(b)

the volume of the prism is calculated as

V = Ah ( A is the cross- sectional area and h the height ) , then

a²b = 2a³π ( divide both sides by a² )

b = 2πa

Using supplementary angles, it is found that the measures of the angles are given as follows:

Supplementary angles are two angles whose sum is of 180º.

An interior angle is supplementary with it's exterior angle, hence:

m<a + 150º = 180º -> m<a = 30º.

The sum of the three interior angles of a triangle is of 180º, hence:

30º + m<b + 60º = 180º

90º + m<b = 180º

m<b = 90º.

More can be learned about supplementary angles at https://brainly.com/question/12919120

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Answer:

4 days

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Kevin starts with 0 poems but increases 3 each day

Let kevin = x

y = 3x

Anita has 4 poems to start with but increases 2 each day

Let anita = y

y = 2x + 4

As seen on this graph:

The point of intersection is (4,12)

The x axis being the number of days.

Thus the answer is D)

There is only one row

3 columns

and 3 square tiles

Answer:

Step-by-step explanation:

7x - 3x = 92 - 24

4x = 68

x = 68 / 4

x =17

Answer:

143

Step-by-step explanation:

These are corresponding angles meaning they are congruent. So we just have to set them equal to each other and solve for x. Then plug in x.

7x + 24 = 3x + 92

subtract 3x from both sides

4x + 24 = 92

subtract 24 from both sides

4x  = 68

divide both sides by 4

x = 17

Now plug in x to angle A, which is 7(17) + 24

119 + 24

then add

you get:

143

Answer:

62 Inches

Step-by-step explanation:

It can be seen from the figure.

[tex]{ab}^{2} = {ac}^{2} + {bc}^{2} [/tex]

Pythagoras

AB= 13

So the perimeter is

[tex](13 + 18) \times 2 = 62[/tex]

Using the Central Limit Theorem, it is found that the correct option is given by:

Yes. All conditions are met.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, we have no information about the distribution, but the sample size is greater than 30, hence all the conditions have been met.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

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Answer:

Using 22/7 as pi, the area of a circle with a diameter of 14 metres is:

154 m²

Step-by-step explanation:

To solve, use the formula for the area of a circle.

Remember the formula for area of a circle. Be careful not to mix up the formula for area with the formula for circumference!

[tex]A = \pi r^{2}[/tex]

From the question, we know:

To use the formula, we need the radius ("r").

The radius is a line that goes from the centre point of the circle to the circle outline. It is half the length of the diameter.

The diagram shows the diameter ("d"), which goes through the centre point of the circle. It is twice the length of the radius.

Solve for "r".

r = d/2

r = (14 m)/2

r = 7 m

Substitute r = 7 m and π = 22/7  into the formula for the area of a circle.

[tex]A = \pi r^{2}[/tex]                         Start with the formula and substitute.

[tex]\displaystyle{A = \frac{22}{7} (7\ m)^{2}}[/tex]                Square "7" and the "m".

Remember that the answer for area is always squared units.

[tex]\displaystyle{A = \frac{22}{7} (49\ m^{2})}[/tex]      

Multiplying a fraction and whole number is the same as multiplying the whole number in the numerator (top of the fraction).

[tex]\displaystyle{A = \frac{22*49}{7}m^{2}}[/tex]              Simplify the numerator.

[tex]\displaystyle{A = \frac{1078}{7}m^{2}}[/tex]                  Divide.

[tex]A = 154\ m^{2}[/tex]                   Final answer

∴ The area of the circle is 154 m².

Answer:

Center: (9, 4)

Radius: 20

Explanation:

(x - 9)² + (y - 4)² = 400

The Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) is center points, r is radius

Rewrite the equation:

(x - 9)² + (y - 4)² = 20²

Identify following:

h = 9, k = 4, radius = 20

Answer: 114.8

Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser

Answer:

Step-by-step explanation:

When looking for patterns in a sequence, it is useful to look at differences, ratios, and differences of differences. Here, the terms have a common ratio:

  405/-1215 = -135/405 = 45/-135 = -15/45 = -1/3

__

For this sequence, each number is -1/3 times the previous number.

The next number is (-15)(-1/3) = 5.

√272 is a real number, and the simplified expression of √272 is 4√17

The expression is given as:

√272

Expand

√272 = √16 * 17

Take the square root of 16

√272 = 4√17

Hence, the simplified expression of √272 is 4√17

Read more about real numbers at:

https://brainly.com/question/7784687

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Answer:

2,985 yes votes

Step-by-step explanation:

Ratio of yes votes to no votes was 5 to 8, we can write the following equation:

Yes : no : total = 5 : 8 : 13

Knowing the total votes was 7,761, thus the number of yes votes = (5/13) * 7,761 = 2,985 votes.

The answer to this is:

0.34

The probability that a person with an iron deficiency is 20 years or older will be 0.34. Then the correct option is B.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The table is given below.

Then the probability that a person with an iron deficiency is 20 years or older will be

P = 102 / 300

P = 0.34

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

calculator soup can help just search what you're learning into g o o g l e and add calculator at the finish have a nice day

Answer:

x = 0.5

y = 1.5

Step-by-step explanation:

For futer reference, the easiest way to figure this out is by going to Desmos Graphing Calculator, entering both of the equations, and seing where the lines intersect. This helped me so much when I was learning this. Hope this helped!

Answer:

The solution of the system of equations is (x,y) = (1/2,3/2).

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

75 + 80 + 100 divided by 3 = 85