What is the average rate of change of the function below on the interval [0, 0.5]?
F(x)= x^2+7x+10/ x^2 - 7x+6
A. 8.333
B. 6.333
C. 7.666
D. 6.667

Answer:

1) x represents the # of cranes

  3x represents the # of cranes * 3 minutes

  10 represents the time the centerpiece took

  30 is the time limit

2) x[tex]x\geq \frac{20}{3} or 6\frac{2}{3}[/tex]

Btw, i'm not sure which way the signs go since I learned this a while ago.

Step-by-step explanation:

Good Luck!!!

Answer:

V = 419.459168

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  316.7 ft³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

Here, the radius (r) is half the diameter, so is 7.7 ft. Then the volume is ...

  V = 1/3π(7.7 ft)²(5.1 ft) = 100.793π ft³ ≈ 316.6505 ft³

The volume of the cone is about 316.7 cubic feet.

_____

If you use the inappropriate value 3.14 for π, your answer will be 316.5 ft³.

Answer:

32boys

and

total of 56 students

Step-by-step explanation:

8:6

[tex]x \times \frac{6}{14} = 24 [/tex]

[tex]x = 24 \div \frac{6}{14} [/tex]

[tex]x = 56[/tex]

so,

[tex]56 \times \frac{8}{14} = 32[/tex]

Answer:

Shopping malls are replacing small shops

Step-by-step explanation:

Let x be the number of 10 cent coins

Let y be the number of 20 cent coins

given

[tex]x = y + 12 \\ x - y = 12[/tex]

as equation 1

and

[tex]0.1x + 0.2y = 5.4[/tex]

as equation 2.

Now we will use elimination method to solve simultaneous equations.

Now we multiply equation 1 by 0.2 to eliminate y and solve for x first.

[tex]0.2 \times x - 0.2 \times y = 12 \times 0.2 \\ 0.2x - 0.2y = 2.4[/tex]

Let this new equation be equation 3.

Now use equation 2 + equation 3.

[tex]0.1x + 0.2x + (0.2y + ( - 0.2y)) = 5.4 + 2.4 \\ 0.3x = 7.8 \\ x = 7.8 \div 0.3 \\ = 26[/tex]

Substitute x into equation 1,

[tex]x = y + 12 \\ y + 12 = x \\ y = x - 12 \\ = 26 - 12 \\ = 14[/tex]

Therefore total number of coins = x + y = 26 + 14 = 40

Answer:

in total he has 62 cents

Step-by-step explanation:

I hope it's the correct answer if I'm wrong tell me right away.

Answer:

Scalene right

Step-by-step explanation:

So there's a right angle in the corner over there, so we know it's going to be ___ right triangle. And none of the sides are the same length, so its scalene

hope this helps:)

Answer:

75%

Step-by-step explanation:

[tex] \frac{27}{36} \times 100\%[/tex]

Answer:

hope it helps...

Step-by-step explanation:

Answer:

0%

Step-by-step explanation:

there is only one card with a 6; if you select the 6 card and do not replace it there is zero possibility of selecting another 6 card

Answer:

$3.99 per watermelon

Step-by-step explanation:

$39.90 total paid divided by 10 watermelons is $3.99

9.5 ft

Step-by-step explanation:

trust in me pls I am serious this is the right answer

Answer:

d. 12√37 / 37

Step-by-step explanation:

standard formula for the distance between a point (x₀,y₀) and a line ax+by+c=0 is |a*x₀ + b*y₀ + c| / √a²+b²

(x₀,y₀) : (-2 , 3)

ax+by+c=0 : 6x - y +3 = 0

x₀ = -2      y₀ = 3     a = 6       b = -1        c = 3

d = | 6*(-2) + (-1)*3 + 3 | / √6²+(-1)²

d = 12 / √37 = 12√37 / 37

Answer:

6

Step-by-step explanation:

X=6

You can cross multiply.

72x3=36x

216=36x

216/36=x

6=x

46 minutes is the elapsed time :)

Answer:

46 minutes

Step-by-step explanation:

In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.

Answer:

30 pounds + 15 pounds is 45 pounds is your total force

Step by step explanation :

The two points are ,

We can find the midpoint by finding the median of x coordinate and y coordinate .

[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]

Answer:

The polygon is a triangle, and is not a regular polygon.

Step-by-step explanation:

The polygon is a triangle because of it's three sides. It's also a non regular polygon since it's no equilateral or equiangular.

Answer:

1 bowling ball

2 box

3 can

4 book

5 pyramid

We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.

Altogether, the bookseller sold 240 math and history textbooks. So:

x + y = 240

Now, the number of history textbooks sold was 72 less than the number of math books sold. So:

y = x - 72

Now we can substitute for y in the equation and solve:

x + y = 240

x + (x - 72) = 240

2x - 72 = 240

2x = 312

x = 156

The bookseller sold 156 math textbooks.

Since y = x - 72, he must have sold 84 history textbooks.

Let's check our answers:

x + y = 240

156 + 84 = 240

That is true, so we did get the correct answers.

Answer:

By examining the line plot, we find the number with the maximum number of crosses or occurrences. This gives the mode of the data set. We find the smallest and the largest number from the data set and find their difference and this difference is the range of the given data set.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

$0.70 is the answer........

Answer:

9 OR 1

Step-by-step explanation:

Let the number be x

x² - 10x = -9

x² - 10x + 9=0

a=1

b=-10

c=9

Solve using the quadratic formula

x =9 or 1

Answer:

C

Step-by-step explanation:

1. The third term has an exponent of 1.

2. A constant is the number with no variable.

I hope this helps ^-^

Answer:

ans

Step-by-step explanation:

possible ratios are 3:4,9:12 and 18:24

Mark me as a brain list please

Answer:

Step-by-step explanation:

12:9

8:6

4:3

16:12

24:18

48:36

Answer:

the answer is 2 hours

Step-by-step explanation: