What is the average rate of change for this exponential function for the
interval from x = 0 to x = 2?

A. -1.5
B. -4
C. 1.5
D. 4

Answer:

[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

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

Required

Find y

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

Substitute [tex]x = \frac{4}{5}[/tex]

[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]

[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]

Collect like terms

[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]

[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]

Split the surd

[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]

Rationalize

[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]

Take LCM and add

[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]

[tex]y = \frac{2\sqrt5+6}{5}}[/tex]

or solve as:

[tex]y = \frac{2*2.24+6}{5}}[/tex]

[tex]y = \frac{10.48}{5}[/tex]

[tex]y = 2.096[/tex]

Answer:

V = 2832 m3 only if that 1 2 is a 12 if that is not a 12 it is wrong

Step-by-step explanation:

The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.

Hope that helps!

Hi, you've asked an incomplete question. The full question reads;

Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?

a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.

b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.  

c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Answer:

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Step-by-step explanation:

Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).

Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).

Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract

Step-by-step explanation:

The equivalent expression will be b⁵.

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.

Given an expression b¹⁰/b⁵,

We need to find an equivalent expression for the same,

So,

Using the identity,

mᵃ ÷ mᵇ = mᵃ ÷ mᵇ

= m⁽ᵃ⁻ᵇ⁾

Therefore,

b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾

= b⁵

Hence, the equivalent expression will be b⁵.

Learn more about expression click;

https://brainly.com/question/14083225

#SPJ2

answer ;

( refer the attachment for division )

Answer:

2 2/3 cups of milk, 5 cups of flour, 3 1/2 cups of other ingredients ;)

Answer:

m = -4/5

b = 4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

20-11=9

☁️ Answer ☁️

9

Take 11 away from 20

Have a nice day noona/hyung.

Hello!

This problem is about relating parallel and perpendicular lines with a given point.

What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.

Using this information, let's look at the first part.

We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].

Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.

[tex]y=6x+b[/tex]

[tex]-3=6(4)+b[/tex]

[tex]b=-27[/tex]

So the line would be [tex]y=6x-27[/tex].

Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.

We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.

[tex]y=-\frac{1}{6}x+b[/tex]

[tex]-3=-\frac{1}{6}(4)+b[/tex]

[tex]b=-\frac{7}{3}[/tex]

So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].

Hope this helps!

Answer:

48 cups of sauce

Step-by-step explanation:

You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce

Hope that helped

Answer:

The answer is C because the largest mode is the longest set with the biggest numbers

Step-by-step explanation:

Answer:

the answer for this is option C 4x/x+5

Answer:

x + 5/ x - 3

Step-by-step explanation:

expand 4x²+16 to get:

4x(x+4)

then multiply by the reciprocal to cancel the 4x(x+4) leaving you with x + 5/ x - 3

Answer:

x times y is 6

This is the simplest one

Step-by-step explanation:

x=3 and y=2

Answer:

(3,4)

Step-by-step explanation:

so domain is the x value and range is the y value so to find the domain it is

(3,4)

Hope that helps :)

Step-by-step explanation:

sphere and cylinder=Tennis ball and tube

cube and sphere=Bowling ball in the box

Triangular prism and cube=doghouse with pointed roof

cylinder and rectangular prism=case of soda in box

Answer:

Sphere & Cylinder --> Tennis balls in a tube

Cube & Sphere --> Bowling ball in a box

Triangular Prism & Cube --> Doghouse with a pointed roof

Cylinder & Rectangular Prism --> Case of soda in a box

Answer:

−12+6

Step-by-step explanation:

Answer:

C.62,884

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3/8 + 2/8 = 5/8

Answer:

A

Step-by-step explanation:

Answer:

1507.96

Step-by-step explanation:

Answer:

Linear Exponential Decay.

Step-by-step explanation:

It is linear exponential decay,

it is decreasing by -7,

everytime x goes up 1, y goes down -7,

this line has a slope of -7/1.

Slope: -7x

y-intercept: (0,2)

Answer:

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Standard deviation of 1 minute.

This means that [tex]\sigma = 1[/tex]

Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.?

This is the pvalue of Z for X. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - \mu}{1}[/tex]

[tex]Z = X - \mu[/tex]

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

Answer:

it is

Step-by-step explanation:

Answer:

B, it should be

Step-by-step explanation:

because its not A, because its just 7th and 8th

its not C, cause thats JUST 5th grade

its not D, because its part of a class, not the entire school.

Mark me Brainlest

Answer:

10ft

Step-by-step explanation:

Let assume the volume of the box be 480ft^3

Required

height h

Volume of the box = length * width * height

Substitute

480 = 8 * 6 * h

480 = 48 * h

h = 480/48

h = 10ft

Hence the height of the box if the volume of 480ft^3 is 10ft

Answer:

False

Step-by-step explanation:

In a rhombus, the diagonals are always perpendicular.

Answer:

156 is the tax

Step-by-step explanation:

2600 x .06 = 156