Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x)

Answer:

-1/16 1/32 -1/64

Step-by-step explanation:

They are dividing by -2 each time; therefore, they multiply (1/4) x (-1/2), (-1/16) x (-1/2), (1/32) x (-1/2) because of the keep change flip rule.

Answer:

-

[tex] - \frac{1}{16} \\ \frac{1}{32} \\ \frac{ - 1}{64} [/tex]

Step-by-step explanation:

It's a geometric sequence with the common ratio r = -1/2

1st: -1

2nd: (-1)x(-1/2) = 1/2

3rd: (1/2) x (-1/2) = -1/4

4th: (-1/4) x (-1/2) = 1/8

so:

5th: (1/8) x (-1/2) = -1/16

6th: (-1/16) x (-1/2) = 1/32

7th: (1/32) x (-1/2) = -1/64

Answer:

5.83333333333 km

Step-by-step explanation:

14.40 until 15.30 is a total of 20 Minutes to 15:00 and andother 30 Minutes to 15:30 hr, so, she has been running for 50 Minutes.

Now solve for distance when 1 hr (60 min) = 7 km

So, simply (7/60)*50 = 5.83333333333 km

Answer:

3c) x = 1/4, x = 6

3d) t = 0, t = 4

Step-by-step explanation:

3c).....................................

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

3d).....................................

Answer:

[tex]n=\frac{3f-8}{10}[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\frac{3}{4}f-\frac{5}{2}n=2[/tex]

First, remove all the fractions by multiplying by the LCM of the denominator.

The LCM of 4 and 2 is 4. Thus:

[tex]4(\frac{3}{4}f-\frac{5}{2}n)=4(2)[/tex]

Distribute:

[tex]4(\frac{3}{4}f})-4(\frac{5}{2}n})=4(2)[/tex]

Simplify:

[tex]3f-10n=8[/tex]

Subtract 3f from both sides:

[tex](3f-10n)-3f=(8)-3f\\-10n=8-3f[/tex]

Divide both sides by -10:

[tex]n=\frac{8-3f}{-10}[/tex]

Divide by -1:

[tex]n=\frac{3f-8}{10}[/tex]

And this is our answer :)

n = (3f - 8)/10

3f/4 - ²⁾5n/2 = ⁴⁾2

3f - 10n = 8

3f - 8 = 10n

n = (3f - 8)/10

Answer:

Part A: The unit that would be best to describes the situations is to the mile

Part B: 4 significant figures

Part C: 1,450 miles

Part D: He is not correct

Step-by-step explanation:

Part A: By unit conversion, we have;

1 mile = 1,760 yards

Given that the distance from Ottawa, Canada to Jackson Mississippi is 2,552,000 yards it would best simplified into miles

Part B: The number of significant digits in the reporters estimate are the non-zero digits before the zeros in the number figure which are 2, 5, 5, and 2 or 4 significant figures

Part C: 2,552,000 yards = 2,552,000 yards/(1,760 yards/mile) = 1,450 miles

Part D: Given that the distance from Jackson to Tucson = 7,159,680 feet, we have;

1 mile = 5,280 feet

Therefore;

7,159,680 feet = 7,159,680 feet/(5,280 feet/mile) = 1,356 miles

Therefore, the claim that the distance from Jackson to Tucson which is 1,356 miles is further than the distance from Ottawa, Canada to Jackson Mississippi which is 1,450 miles is not correct because;

The distance from Jackson to Tucson 1,356 miles [tex]\ngtr[/tex] 1,450 miles which is the distance from Jackson to Ottawa

Answer:

x < 6

Step-by-step explanation:

2 x -9 < 3

     +9 .     +9

2x < 3 + 9

2x < 12

__ .   __

2 .     2

x <  6

Answer:

Step-by-step explanation:

389.49 + 2.12=391.54

391.54-97.95= 293.59

293.59+109.16= 402.75

402.75 +88.75=491.52

491.52-202.27= 289.25

hope this helps!

As per linear equation, the missing values are $391.54, $97.95, $402.75,  88.75, $289.25.

"A linear equation is an equation in which the highest power of the variable is always 1."

Date: 08/01

Balance = $389.49

Interest = $2.12

Balance = $(389.49 + 2.12) = $391.54

Date: 08/08

Balance = $391.54

Withdraw = $97.95

Balance = $(391.54 - 97.95) = $293.59

Date: 08/14

Balance = $293.59

Deposit = $109.16

Balance = $(293.59 + 109.16)= $402.75

Date: 08/16

Balance = $402.75

Deposit = $88.75

Balance = $(402.75 + 88.75) = $491.52

Date: 08/26

Balance = $491.52

Withdraw = $202.27

Balance = $(491.52 - 202.27) = $289.25

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Answer:

The function is [tex]d=10t[/tex]

domain is 0 to 0.2 hour.

range is 0 to 2 miles.

Step-by-step explanation:

Given that,

Average velocity = 10 miles/hour

Time = 12 min = 0.2 hour

We need to write a function that models the student's distance from home

Using formula of distance

[tex]d=v\times t[/tex]

Where, v = velocity

t = time

d = distance

Put the value into the formula

[tex]d=10t[/tex]

This is a function.

We know that,

Domain :

Domain shows the time.

So, domain = 0 to 0.2 hour

Range :

Range shows the distance.

The range at t =0,

Put the value of t in the function

[tex]d = 10\times0=0[/tex]

The range at t =0.2 hour

[tex]d = 10\times0=0[/tex]

[tex]d=2\ miles[/tex]

So. range = 0 to 2 miles

Hence, The function is [tex]d=10t[/tex]

domain is 0 to 0.2 hour

range is 0 to 2 miles

The domain of the function f(x) = 6.5x will be a positive real number.

The domain means all the possible values of x and the range means all the possible values of y.

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x) = 6.5x, where x is the time in hours the jogger runs.

We know that time is a scalar quantity. Then the value of the time is always greater than equal to zero.

x ≥ 0

The domain of the function f(x) = 6.5x will be a positive real number.

More about the domain and range link is given below.

https://brainly.com/question/12208715

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Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{radius = 5\pi}}}}}[/tex]

Step-by-step explanation:

Given,

Area of circle ( A ) = 25 π in²

Radius ( r ) = ?

[tex] \boxed{ \sf{area \: of \: circle = \pi \: {r}^{2} }}[/tex]

Plug the values

[tex] \sf{25 = \pi \: {r}^{2} }[/tex]

⇒[tex] \sf{ {r}^{2} = 25\pi}[/tex]

⇒[tex] \sf{r = \sqrt{25 \: \pi}} [/tex]

⇒[tex] \sf{r = 5 \: \pi}[/tex]

Radius = 5 π

Hope I helped!

Best regards!!

Answer:

E

Step-by-step explanation:

So the equation is y= 5+2x

and x+y=44

So we use the substitution method and says that y=44-x

So 44-x=5+2x

simplify

44-5=3x

x=13

there's only one option with x=13

Answer: E. (13, 31)

Step-by-step explanation:

Let x= first number

Let y= Second number

----------------------------------

y-5=2x

x+y=44

--------------------------------

y=2x+5

x+y=44

----------------------------

x+(2x+5)=44 ⇔ substitute y value in terms of x

x+2x+5=44

3x+5=44

3x=39

x=13

44-13=31

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:2,8,8,6

Step-by-step explanation:

[tex]f_x=2x+8y\\f_y=8x+6y\\f_{xx}= 2\\f_{xy}= f_{yx}= 8\\f_{yy}=6[/tex]

According to Clairaut's theorem, for most cases, the mixed partial derivatives are equal. In this case, it is.

The answer is No

Explanation:

All statistical questions involve collecting numerical data (usually from a group of people) and then analyzing it to draw conclusions about the opinions of people of a certain phenomenon as the data varies depending on the response of each person. This process is not required to determine the area of the floor because this has a unique answer and can simply be found by measuring the height and width of the classroom and then multiplying both numbers. Also, this does not imply gathering a lot of data and the data does not vary.

Answer:

P (X = 5) = a and P (X = 6) = 0.38 - a

Step-by-step explanation:

The sum of probabilities of all the events in a sample space is known is 1.

That is:

[tex]\sum\limits^{n}_{i=1}[P(X=x_{i})]=1[/tex]

It is provided that, the random variable X, can assume values 0, 1, 4, 5, and 6.

The incomplete probability distribution is:

X        P(X = x)

0          0.26

1           0.25

4           0.11

5             __

6            __

Compute the missing probabilities as follows:

[tex]\sum\limits^{n}_{i=1}[P(X=x_{i})]=1[/tex]

[tex]P(X=0)+P(X=1)+P(X=4)+P(X=5)+P(X=6)=1\\\\0.26+0.25+0.11+P(X=5)+P(X=6)=1\\\\0.62+P(X=5)+P(X=6)=1\\\\P(X=5)+P(X=6)=1-0.62\\\\P(X=5)+P(X=6)=0.38[/tex]

Assume that P (X = 5) = a.

Here the value of a lies in the interval 0 ≤ a ≤ 0.38.

Then the value of P (X = 6) will be:

P (X = 6) = 0.38 - a

Thus, the complete probability distribution is:

X            P(X = x)

0              0.26

1               0.25

4               0.11

5                  a

6            0.38 - a

Answer:

Natural numbers whole numbers integers and Rational numbers

Answer:

B

Step-by-step explanation: I got correct on ed2020!

Hope this helps!~ :>

Answer:

B

Step-by-step explanation:

it's correct

Answer:

[−7,−5)∩[−5,0] = [-5]

Step-by-step explanation:

A = A1 ∩ A2 means that A contains the intersected elements (shared elements) of A1 and A2

Answer:

$465

Step-by-step explanation:

100 - 50/3 = 250/3

250/3 ÷ 100 = 5/6

$387.50 ÷ 5/6 = $465

Answer:

See below.

Step-by-step explanation:

So we know that a gym membership costs $25 plus $14 each month.

In other words, the one-time cost is $25 and there will be a cost of $14 each month.

We can write this as:

[tex]f(x)=14x+25[/tex]

Where f(x) equals the total cost given the number of months x.

For 6 months, the total cost will be:

[tex]f(6)=14(6)+25\\f(6)=84+25\\f(6)=\$ 109[/tex]

Answer:

24, 72, and 84

Step-by-step explanation:

Let the first, second, and third angles be A, B, and C, respectively.

So, first of all, since the figure is a triangle, the three angles must total 180. Thus:

[tex]A+B+C=180[/tex]

Now, we are told that the measure of one angle (let's use A) is 3 times the measure of a second angle (B). So:

[tex]A=3B[/tex]

And the measure of the third angle (C) is 12 less than the sum of the other two (A&B). Therefore:

[tex]C=(A+B)-12[/tex]

For this equation substitute A for 3B:

[tex]C=(3B+B)-12[/tex]

Combine like terms:

[tex]C=4B-12[/tex]

So we have the following equations thus far:

[tex]A+B+C=180[/tex]

[tex]A=3B[/tex]

[tex]C=4B-12[/tex]

So, substitute A and C in for the first equation:

[tex]A+B+C=180\\(3B)+B+(4B-12)=180[/tex]

Combine like terms:

[tex]8B-12=180[/tex]

Add 12 to both sides:

[tex]8B=192[/tex]

Divide by 8:

[tex]B=24[/tex]

So, the second angle B is 24 degrees.

The first angle A is three times B. Thus, A is 3(24)=72 degrees.

And C is 12 less than the sum of them. Thus:

[tex]C=(72+24)-12\\C=96-12\\C=84[/tex]

So, our angles are:

24, 72, and 84

And we are done :)

Edit: Typo

Answer:

f(x) = -3x⁴ - 3x³ - 8x + 2

As x -> ∞, f(x) -> -∞

As x -> -∞, f(x) -> -∞

f(x) = 3x³ - 8x² - x + 1

As x -> ∞, f(x) -> ∞

As x -> -∞, f(x) -> -∞

Step-by-step explanation:

Graph both functions.

End behavior is what happens to the y-values when x-values approach either +∞ or -∞.

Answer:

12x^2-16x

Step-by-step explanation:

4x+2x^2=4x(3x-5)

4x+4x(3x-5)

( 4x*3x-5)=12x^2-20x

4x+12x^2-20x

4x-20x= -16x

=12x^2-16x

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,-5) and (-3,-5)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

27

Step-by-step explanation:

The first four composite numbers are - 4, 6, 8, 9.

Add these all together and you get 27. Hope it helps!

Answer:

is 19

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hi

Answer:

7x² - 3x + 7

Step-by-step explanation:

Step 1: Write out expression

5x² + 3x + 4 + 2x² - 6x + 3

Step 2: Combine like terms (x²)

7x² + 3x + 4 - 6x + 3

Step 3: Combine like terms (x)

7x² - 3x + 4 + 3

Step 4: Combine like terms (constants)

7x² - 3x + 7

Answer:

[tex]\Large \boxed{7x^2-3x+ 7}[/tex]

Step-by-step explanation:

[tex](5x^2 + 3x + 4) + (2x^2 -6x + 3)[/tex]

Removing brackets.

[tex]5x^2 + 3x + 4 + 2x^2 -6x + 3[/tex]

Grouping like terms.

[tex](5x^2 + 2x^2) + (3x -6x)+ (4 + 3)[/tex]

Combining like terms.

[tex](7x^2) + (-3x)+ (7)[/tex]

Answer:

$0.72 C

Step-by-step explanation:

ON E2020 THE ANSWER IS CCC

Freida's ffinance charge on credit card if the purchase of $60.99 and payment of $85.33 occured between September 7th and 20th is $0.72 C which is option C.

The interest on the credit amount for one year on the credit card.

                                    ⇒0.0115

APR for credit cards is charged on  purchased amount =$60.99

⇒Interest on $60.99 for 00ne month is= $60.99×0.0115  

                                                                   =$0.72

According to the given option:-

a. $0.13

b. $0.41

c. $0.72

d. $0.28

the answer will be option C $0.72.

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Answer:

Step-by-step explanation:

You just need to divide the number of people with degrees (about 8 million) by the total number of Asians (about 14 million)  and multiply by 100

8107000

========        * 100 = 0.58094 * 100 = 58.094%

13955000  

Which is a very high %

Answer:scatter plot

Step-by-step explanation:

Answer:

B) scatter plot

Step-by-step explanation:

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