Use the difference quotient of A(r)= πr2 to calculate the average rate of change during certain intervals.

The difference quotient of A(r) is:

StartFraction pi (r + h) squared minus pi r squared Over h EndFraction = StartFraction pi (r squared + 2 r h + h squared) minus pi r squared Over h EndFraction = StartFraction pi r squared + 2 pi r h + pi h squared minus pi r squared Over h EndFraction = 2 pi r + pi h

The average rate of change from the interval 2 to 3 inches is
π square inches per inch.

The average rate of change from the interval 2 to 2.5 is
π square inches per inch.

Answer:

I think B

Step-by-step explanation:

Answer:

I agree and also think it is B.

Step-by-step explanation:

I hope this helped!

Answer:

If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.

Step-by-step explanation:

Hope this helps

Answer:

A. y = 4.5x

Step-by-step explanation:

y is the length of the fish and x is the time, by checking each equation with values in the table you can see that this is the one that represents the relationship.

Example using (4 yrs, 18 cm):

A: 18 = 4.5(4) ✅

B: 4 = 4.5(18) ❌

C: 4 = 9(18) ❌

D: 18 = 9(4) ❌

Answer:

0.111

Step-by-step explanation:

It is given that a manufacturing company found out that the intrastate contracts having a low bid which are [tex]$\text{uniformly}$[/tex] distributed between [tex]$22$[/tex]  and [tex]$31$[/tex] [tex]$\text{units of thousands}$[/tex] of dollars.

Therefore, the probability that a low bid on the [tex]$\text{next intrastate}$[/tex] shipping contract is in excess of [tex]$\$ 28,000$[/tex] is given by :

P(x ≥ 30) = 1 - P(X ≤ 30)

              [tex]$=1-\frac{30-22}{31-22}$[/tex]

             [tex]$=1-\frac{8}{9}$[/tex]

             [tex]$=\frac{1}{9}$[/tex]

            = 0.111

Answer:

☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}: [/tex]

♨ [tex] \large{ \tt{ In \: \triangle \: ABC : }}[/tex]

[tex] \large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}[/tex] { Sum of angles of a triangle }

⇾ [tex] \large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree[/tex]

⇾ [tex] \large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}[/tex]

⇾ [tex] \large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}[/tex]

☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}: [/tex]

♨ [tex] \large{ \tt{3x = 12}}[/tex] { Since the diagonals of parallelogram bisect each other }

⟶ [tex] \large{ \tt{x = \frac{12}{3}}} [/tex]

⟶ [tex] \large{ \boxed{ \tt{x = 4}}}[/tex]

Q. Can we set up an equation 2x = 8 in question number 2 ?

Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.

Hope I helped! ♡

Have a wonderful day / night ! ツ

[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

C. 15

D. 4

Step-by-step explanation:

Hope this helps

Answer:

d.1.96(0.0632)

Step-by-step explanation:

The margin of error for a 95% confidence interval for the population proportion calculated as below:

Given that x = 8

n = Size of the sample = 40 (Large sample)

Sample population: P=x/n = 8/40 = 0.2; q = 1-p = 0.8

Standard error = [tex]\sqrt{pq/n}[/tex] = [tex]\sqrt{0.2(0.8)}/40[/tex] = 0.0682

95% of confidence Z∝ = 1.96

Margin of Error = Z∝ .[tex]\sqrt{pq/n}[/tex]

Margin of Error = 1.96(0.0682)

So, therefore, option d is correct.

Answer:

There are 64 pigs

Step-by-step explanation:

pigs: cows: total

16            2   16+2

16          2         18

There are 72 animals

72 /18 = 4

Multiply each number by 4

pigs: cows: total

16*4     2*4     18*4

64         8        72

There are 64 pigs

Answer:

Step-by-step explanation:

It's the magnitude of the average rate of change that's important here.

| -12.5 | is greater than | 10 |.  The negative sign tells us that the function is decreasing on the given interval.

Answer:

V= 160 ft

Step-by-step explanation:

First 10×8×6 then ÷ 3 = 160

Answer:

We Do not have enough evidence

Step-by-step explanation:

H0 : σ² ≤ 1.1

H0 : σ² > 1.1

The test statistic (X²) :

χ² = [(n - 1) × s²] ÷ σ²

n = sample size, = 20

s² = 1.6

σ² = 1.1

α = 0.01

χ² = (19 * 1.6) / 1.1

χ² = 27.64

Pvalue :

Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19

Pvalue = 0.091

If Pvalue < α ; Reject H0

0.091 > 0.01

Hence, Pvalue > α ; Thus we fail to reject H0.

We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.

Answer:

below

Step-by-step explanation:

Table One-

0 -0

1- .5

2- 1

3 - 1.5

Table Two-  

0 - 0

1 - .25

2 - .50

3 - .75

Answer:

a. Simple interest = $174

b. Compund interest = $1187.1

Step-by-step explanation:

Given the following data;

Principal, P = $1000

Interest, R = 2.9%

Time, T = 6 months

a. To find the simple interest;

S.I = (PRT)/100

S.I = (1000*2.9*6)/100

S.I = 17400/100

S.I = $174

b. To find the compound interest;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Substituting into the formula, we have;

[tex] A = 1000(1 + \frac{2.9}{100})^{6}[/tex]

[tex] A = 1000(1 + 0.029)^{6} [/tex]

[tex] A = 1000(1.029)^{6} [/tex]

[tex] A = 1000(1.1871)[/tex]

A = $1187.1

Answer:

24,899

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer: n = 4

Step-by-step explanation:

Divide both sides by 3

n+2=3(6−n)

Expand

n+2=18−3n

Subtract 2 from both sides

n=18−3n−2

Simplify 18−3n−2 to −3n+16.

n=−3n+16

Add 3n to both sides

n+3n=16

Simplify n+3n to 4n

4n=16

Divide both sides by 4

n= 4/16

​

Simplify 16/4 to4

n=4

Answer:

Step-by-step explanation:

The Letter pi (π) = 3.14

The radius (r) = the diameter / 2

The diameter = 8

the radius (r)= d/2 = 8/2 = 4

The Area = 3.14 * 4*4

But they tell you to use 3 and not 3.14.

So the area = 3 * 4 * 4

The area = 48

By the way, if you are interested, the Bible uses 3 for π and not 3.14

9514 1404 393

Answer:

  y = 1/3w -1/6x

Step-by-step explanation:

Subtract the terms not containing y, then divide by the coefficient of y.

  [tex]3y+\dfrac{1}{2}x-w=0\\\\3y=w-\dfrac{1}{2}x\qquad\text{subtract non-$y$ terms}\\\\\boxed{y=\dfrac{1}{3}w-\dfrac{1}{6}x}\qquad\text{multiply by $\dfrac{1}{3}$}[/tex]

Answer:

It would be answers A and C

Step-by-step explanation:

Notice both end in negative 2, matching your range, so you can't get that correct using either B or D

The functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

A function is relationship between two or more variables expressed in equal to form .In a function each value of x must have a corresponding y value. The value of x is known as domain of the function and the value of y is known as range of function.

We have been given four functions and we have to find the functions having domain (-∞,∞) and range (-2,∞).

Taking f(x)=[tex]0.25^{x}-2[/tex]

f(0)=1-2

=-1

f(1)=0.25-2

=-1.75

f(2)=0.50-2

=-1.50

f(-2)=1/0.50-2

=1-1/0.50

=0

So this function has domain (-∞,∞) and range (-2,∞) because the value of function increases from -2 as the value of x increases.

Taking f(x)=[tex]0.25^{x}+2[/tex]

Because the above function is opposite of the first function so it behaves opposite as the function.

Taking f(x)=[tex]3^{x} -2[/tex]

f(0)=1-2

=-1

f(1)=3-2

=1

f(-2)=1/9-2

=(1-18)/9

=-17/9

=-1.8

This function also has domain (-∞,∞) and range  (-2,∞) because the value of increases from -2 as the value of x increases.

Next function is opposite from the third function so it behaves opposite to third function

Hence the functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

Learn more about function at https://brainly.com/question/10439235

#SPJ2

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Answer:

Step-by-step explanation:

[tex]2\sqrt{3}\cos ^2\left(A\right)=\sin \left(A\right)\\\mathrm{Subtract\:}\sin \left(A\right)\mathrm{\:from\:both\:sides}\\2\sqrt{3}\cos ^2\left(A\right)-\sin \left(A\right)=0\\-\sin \left(A\right)+\left(1-\sin ^2\left(A\right)\right)\cdot \:2\sqrt{3}=0\\\sin \left(A\right)=-\frac{2\sqrt{3}}{3},\:\sin \left(A\right)=\frac{\sqrt{3}}{2}\\\mathrm{Combine\:all\:the\:solutions}\\A=\frac{\pi }{3}+2\pi n,\:A=\frac{2\pi }{3}+2\pi n4[/tex]

The figure is a rectangle.

The figure has Four sides.

The figure has the dimensions of Length and Width.

Sorry if its wrong, I have bad memory

Answer:

Two additional solutions are:

(21, 1/3)

(17, 5/3)

Step-by-step explanation:

We have the equation:

x + 3*y = 22

Now we want to find two solutions (x, y).

To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.

Let's isolate x.

x = 22 - 3*y

Now we can change the value of y by a known value, and then solve the equation for x.

For example, if we define:

y = 1/3

then:

x = 22 - 3*(1/3)

x = 22 - 1 = 21

x = 21

Then the point (21, 1/3) is a solution of the equation.

Now let's input another value of y, for example, we can use y = 5/3

(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.

x = 22 - 3*(5/3)

x = 22 - 5

x = 17

Then the point (17, 5/3) is a solution of the equation.

Answer:-1

Step-by-step explanation:

Subtract plus 3

Answer:

-1

Step-by-step explanation:

x-y=3

x—Larger number

y—smaller number

x-(-4)=3

x+4=3

x=–1

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

[tex]\frac{5}{5 + 2 + x} = \frac{5}{7 + x}[/tex]

Both fractions are equal, so:

[tex]\frac{5}{7 + x} = \frac{1}{2}[/tex]

Applying cross multiplication:

[tex]7 + x = 10[/tex]

[tex]x = 10 - 7[/tex]

[tex]x = 3[/tex]

The value of x is 3.

Step-by-step explanation:

f(g(x))

f(x-1)

(x-1)^2

x^2 -2x + 1

Answer:

1 pound=16 ounces

3 pound=16x3= 48 ounces

Step-by-step explanation:

hope it helps ❤️

Answer:

if 1 pound = 16ounces

3pounds= 3×16+7ounces

= 48+7

= 55 ounces