find the average rate of change of
f(x) on the interval

Based on the table of Motor Vehicle Deaths, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita

When something is said to be per capita, it means that it is per person in the population.

The motor vehicle deaths per capita for Ohio can therefore be found by the formula:

= MV Deaths in Ohio / Ohio population

= 1,021 / 11.35 million

= 0.00009 deaths per capita

In conclusion, the Motor Vehicle Deaths per capita for Ohio is 0.00009 deaths per capita

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Answer: 800 ft^2 ==> c

Step-by-step explanation:

A=Area, l=length, w=width

A=l*w

A=40*20

A=800 ft^2 ==> c

[tex]Q=R+Rst \\ \\ Q=R(1+st) \\ \\ \frac{Q}{R}=1+st \\ \\ \frac{Q}{R}-1=\frac{Q-R}{R}=st \\ \\ \boxed{s=\frac{Q-R}{Rt}}[/tex]

Answer:

3x = 15 x=5

1x -10=15 x=25

2x-25= 15 x=20

2x+11=15 x=2

-2x+25=15 x= -5

and so on

Answer:

y = -2x + 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = -2

Point (3, 3)

Step 2: Find equation

Answer:

Equation 3

Step-by-step explanation:

Answer:Equation 3

linear functions dont have exponents

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The formula for slope according to first principle is :

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{f(x + h) - f(x)}{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log(x + h) - log(x)}{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{x + h}{x} ) }{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{h} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{ log( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times x} \][/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \displaystyle\lim_{x\to0} \: \: \sf \frac{1}{x} \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} \times log_{e}(10) } \] \bigg)[/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } \displaystyle\lim_{x\to0} \: \: \sf \bigg(\frac{ log_{e} ( \frac{ h}{x} + 1 ) }{ \frac{h}{x} } \] \bigg)[/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{x \: log_{e}(10) } [/tex]

Now, the best estimate of slope is at x = 20 :

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{20\times 2.303} [/tex]

[tex] \qquad \sf  \dashrightarrow \: \[ \dfrac{1}{46.06} [/tex]

[tex] \qquad \sf  \dashrightarrow \: \approx0.0217[/tex]

Answer:

binod

Step-by-step explanation:

binod is binod and is binod

Answer:

Step-by-step explanation:

[tex]2(6−4x)>18−2x[/tex]

Multiply the terms in the bracket

[tex]12 - 8x > 18 - 2x[/tex]

Move 12 to the other side of the inequality

[tex] - 8x > 18 - 12 - 2x \\ - 8x > 6 - 2x[/tex]

Move - 2x to the other side of the inequality

[tex] - 8x + 2x > 6 \\ - 6x > 6[/tex]

Divide both sides by - 6

[tex] \frac{ - 6x}{ - 6} > - \frac{6}{6} \\ x > - 1[/tex]

Reverse the sign

We have the final answer as

Hope this helps you

Answer:

What the other dude said

Step-by-step explanation:

bruh

The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = 6

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total amount paid = $6.00

Total copies = 68

Cost of black-and-white copy = $0.08

Cost of color copy = $0.15

Now, Let number of black-and-white copies = b

And, Number of color copies = c

Hence, The equation become;

b + c = 68

0.08b + 0.15c = 6

Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = $6

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Answer:

The price of the projector is $1,180.

Step-by-step explanation:

295 × 4 = 1,180

Answer:

It's f(x)=2x^2/x^2+2x-3.

Step-by-step explanation:

The function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have functions shown in the options:

After drawing the functions on the coordinate plane we will  see,

[tex]\rm f(x) = \dfrac{2x^{2}}{x^{2}+2x-3}[/tex]

x = -3 and x = 1

Horizontal asymptote: y = 2

Thus, the function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.

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Answer:

195.45 in

Step-by-step explanation:

Step one:

given

sphere has a radius of 3.6 centimeters.

Required:

the volume of a sphere

The formula for the volume is

V=4/3πr^3

Step two:

subsituting we have

V=4/3*3.142*3.6^3

v=4/3*3.124*46.65

v= 586.37/3

v=195.457 in

to the nearest hundreth 195.45 in

Answer:

===============================

Ignoring the hexagon in the middle, we'll count the number of squares:

This is an AP with the first term of a₁ = 0 and common difference of d = 6.

Explicit formula for an AP is:

Substitute the first term a₁ and common difference d into equation:

The 24th term is:

Count the number of circles:

This is an AP with the first term of a₁ = 3 and common difference of d = 2.

The explicit formula for this AP is:

The 24th term is:

Answer:

m∠BAC = 105°

m∠FAB = 75°

Step-by-step explanation:

By using the property of an exterior angle of a triangle,

Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.

From the triangle given in the picture,

m∠ABC + m∠BCA + m∠CAB = 180°

(13x - 3)° = (3x + 2)° + 55°

13x - 3 = 3x + 57

13x - 3x = 57 + 3

10x = 60

x = 6

m∠FAB = (13x - 3)° = 75°

m∠ABC = (3x + 2)° = 20°

Since, ∠BAC and ∠FAB are the linear pair of angles,

m∠BAC + m∠FAB = 180°

m∠BAC + 75° = 180°

m∠BAC = 180° - 75° = 105°

Answer:

Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero

Step-by-step explanation:

From the given information:

The null hypothesis and alternative hypothesis is given as:

[tex]H_o: \mu = 0 \\ \\ H_1 : \mu \ne 0[/tex]

And the 99% confidence interval for the population mean [tex]\mu[/tex] is: [−3.79, 5.86]

The significance level ∝ = 1 - 0.99 = 0.01

We will notice that the 99% confidence interval for the population mean [tex]\mu[/tex] contains the null hypothesis mean value which is equal to zero.

Thus, we do not reject the null hypothesis at the significance level ∝ = 0.01

∴

Decision rule: Do not reject [tex]H_o[/tex]; we cannot conclude that the mean differs from zero

You can tell if a graph represents a proportional relationship by identifying the y-intercept, or the point of the line that crosses the y-axis.

If the y-intercept is 0, then the relationship is proportional. This is called a direct relationship.

If the y-intercept is anything other than 0, then the relationship is not proportional. This is called an indirect relationship.

I hope this helps!

Answer:

it's A

(15 * 10 ^ 5) binom 5*10^ 3 ) =300

(15 * 10 ^ 5)/(5 * 10 ^ 3)

(10 ^ 5)/(10 ^ 3) = 10 ^ 2

= (15 * 10 ^ 2)/5

: 15/5 = 3

= 3 * 10 ^ 2 = 3 * 10 ^ 2

3 * 10 ^ 2 = 300

=300

The statement is False.

Given that the SP is $0.60 per unit and the CP is $0.36 per unit.

So, profit per unit = $(0.60-0.36)

                            = $ 0.24

So, now we have to check whether 2500 units sales is required if we want a profit of $900.

To check we have to multiply the profit per unit with the sales,

      ⇒ 0.24 × 2500

      ⇒ $ 600

We can see clearly that we get a profit of $600 if we sale 2500 units. So, to make a profit of $900 we have to sale = [tex]\frac{900}{0.24}[/tex]

                                                                = 3750 units

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Answer:

y = -3/4 + 9

Step-by-step explanation:

y=mx+b

3 = -3/4(8) + b

3 = -6 + b

9 = b

y = -3/4 + 9

Answer:

1.3

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

{ y≤1

y-x<0

let the probability of Aron going on Saturday be A

A

= {Aaron goes to the gym on Monday},

and the probability of him going on a Sunday be B

B

= {Aaron goes to the gym on Sunday}.

In your post, we have the following pieces of information:

P(A)=0.8

P(A)=0.8

,

P(B∣A)=0.3

P(B∣A)=0.3

,

P(B∣ A)=0.9

P(B∣A¯)=0.9

.

What you are looking for is the probability that he goes only once (either on Saturday or Sunday). That is the probability of the event

(A∩ B¯ )∪( A¯ ∩B)

(A∩B¯)∪(A¯∩B)

. [(A∩ B¯)(A∩B¯)

: if he goes on Saturday he won't go on Sunday

A¯∩B

A¯∩B

: if he did not go on Saturday, he will go on Sunday].

We have:

P

((A ∩ B)∪(A ∩B))

=

P(A∩ B )+

P(A∩B)

=

P( B ∣A)

P(A)+

P(B∣ A)

P( A)

=

(1−P(B∣A))

P(A)

+

P(B∣ A)

(1−P(A))

=(1−0.3)×0.8+0.9×0.2

The prob of Aaron going to the gym on exactly one of the two days is =0.74.

P((A∩B¯)∪(A¯∩B))=P(A∩B¯)+P(A¯∩B)=P(B¯)

Answer:

A. Substitution

Step-by-step explanation:

You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are

Answer:

I think that it is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x+y-8=0

Step-by-step explanation:

It makes the most sense

Answer:

total no. of people =630

let the no. of people who ordered fries be x

Then,

60%of 630=x(since 60% of them ordered fries)

60/100×630=x=378

Therefore,the no of people who ordered fries are 378.

Thankyou

The total money Paloma made = $117.25

In this question,

The price of Marigold(M) is $5.75.

The price of Daisy(D) is $6.25.

The price of Roses(R) is $2.50.

The price of Lilies(L) is $3.75

She sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 1/3 of the price.

Let s be the total money Paloma made

so we get an expression,

S = 8M + 10D + 5(R/2) + 2(L/3)

Now substitute the respective value

S = 8(5.75) + 10(6.25) + 5(2.5/2) + 2(3.75/3)

S = 46 + 62.5 + 6.25 + 2.5

S = $117.25

Therefore,  the total money Paloma made = $117.25

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