Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles

Answer:

f = 5/6 - 7a/6 + d/2

Step-by-step explanation:

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

The area of the circle radius as 8 inches will be 201.062 inches².

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given the circle with a radius BC of 8 inches.

Area of circle = πr² where r is the radius of the circle.

So,

Area = π(8)² = 201.062 inches.

Hence "The area of the circle radius as 8 inches will be 201.062 inches².

To learn more about the circle,

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The given question figure is missing the figure has been attached below;

Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

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Answer:

(4x - 10) + x = 90 degrees

x = 20

Answer: √20

Step-by-step explanation:

4.47213595 (the 5 repeats)

Answer:

He makes more than $11 per hour plus $35 in tips

Step-by-step explanation:

First, you should always look at the sign and identify whether it's greater than, less than, greater than or equal to, or less than or equal to. In this inequality, the sign being shown is greater than: represented by m>11h+3

Here are inequality key words to help better understand the signs:

> : Greater Than, More Than

≥ : More Than or Equal To, At Least, No Less Than, A Minimum of

< : Less Than, Fewer Than

≤ : Less Than or Equal To, At Most, No More Than, A Maximum of

Answer:

Oscar= 69

Step-by-step explanation:

92/4 = 23

23 times 3=69

Answer:

3x-7=17

3x=17+7

3x=24

x= 8

Answer:

Yes

Step-by-step explanation:

An obtuse triangle will have two obtuse angle at its exterior.

Take for instance, the angles in the triangle are 100, 40 and 40.

The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).

So, using the above analysis, we can conclude that the statement is possible.

Answer: 40%

Steps: Forty percent of $30 is $18.

Plz mark brainliest:)

Answer:

25%

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

trust me .

Answer:

318.5

Step-by-step explanation:

30% of 245 is 73.5

245 + 73.5 = 318.5

Answer:

i do i am right noww lol

Step-by-step explanation:

Answer:

12.43ft

Step-by-step explanation:

 From the given diagram, we simply apply the sin rule

According to the sine rule

=

   y is the side y

    y° = (90 - 43) = 47

    z = 17

    z° = 90

Input the parameters and solve;

            [tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]

       ysin 90 = 17 sin 47

         y = 12.43ft

Answer:

C. 78

Step-by-step explanation:

Add all of them together, then divide by 5 because there are 5 different plants.

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

For more details, refer to the link:

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Answer:

-54

Step-by-step explanation:

[tex]8(-9) - 6(-3)\\[/tex]

Multiply 8 by -9 and 6 by -3

[tex]-72 - (-18)[/tex]

Subtract[tex]Value = -54[/tex]

Hope this helps

plz mark brainliest

Answer:

[tex]{1.8 \times 10}^{10} \: opton \: b. \: is \: correct[/tex]

Step-by-step explanation:

[tex] {1.5 \times 10}^{6} \times 12000 = \\ {1.5 \times 10}^{6} \times {1.2\times 10}^{4} = \\ {1.8 \times 10}^{10}[/tex]

Answer: B

Step-by-step explanation:

Keep writing the equation until you get to lowest terms.

[tex]15[/tex] × [tex]10^{6}[/tex] × [tex]12,000[/tex] =

[tex]15[/tex] × [tex]10^{2}[/tex] × [tex]1.2[/tex] × [tex]10^{4}[/tex] =

[tex]1.8[/tex] × [tex]10^{10}[/tex]

The answer is option B.

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer:

they are better because they are cheeper than the other

Answer: -8 points

Step-by-step explanation:

From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.

Her total points now will be the addition of -5 and -3. This will be:

= -5 + (-3)

= -5 - 3

= -8

Note that minus multiplied by plus is minus.

Answer: -8

Step-by-step explanation:

Answer:

2.1 * 10 ^3

Step-by-step explanation:

5.67  * 10 ^7 ÷2.7 x 10^4

Divide the numbers

5.67 / 2.7 =2.1

Divide the exponents

10^7 / 10 ^4

Remember when dividing power, we subtract the exponents

10 ^(7-4) = 10^3

Put this back together

2.1 * 10 ^3

Verify that this is in scientific notation

Since this is in scientific notation, we are done

Answer:

2.1x10 to the power of three

Step-by-step explanation:

\frac{5.67\times 10^7}{2.7\times 10^4}

2.7×10

4

5.67×10

7

​

Divide them.

\frac{5.67}{2.7}\times \frac{10^7}{10^4}

2.7

5.67

​

×

10

4

10

7

​

Divide numbers and 10's separeately.

2.1\times 10^3

2.1×10

3

Subtract exponents.

Answer:

i got b and h{i hope this helps}

Step-by-step explanation:

Answer:

1.91666667

Step-by-step explanation:

7 times 3/4 = 5.25

5.25 - 3 1/3 = 1.91666667

Answer:

y=1/3-1 ...............

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation: