Write the decimal equivalent for 9 over 5.

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex], hence:

[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}[/tex]

Therefore, the average rate of change of [tex]f(x)[/tex] over the interval [tex][5,9][/tex] is [tex]\frac{9}{2}[/tex].

Part B

Do the same thing as in Part A:

[tex]\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4[/tex]

Therefore, the average rate of change of [tex]g(x)[/tex] over the interval [tex][0.25,1][/tex] is [tex]-4[/tex].

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

The average rates of change are:

For a function f(x), the average rate of change on the interval [a, b] is:

[tex]r = \frac{f(b) - f(a)}{b -a}[/tex]

a) Here we have:

[tex]r = \frac{F(9) - F(5)}{9 - 5} = \frac{14 - (-4)}{4} = 4.5[/tex]

b) Now we look at g(x) on the interval [0.25, 1]

Notice that g(0.25) = 5 and g(1) = 2

Then we have:

[tex]r = \frac{2 - 5}{1 - 0.25} = -4[/tex]

c) That average rate of change means that, in average, in that interval in each second the height decreases by 4 ft.

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Step-by-step explanation:

i hope this helps the steps are within the photo

Answer:

6.132

Step-by-step explanation:

please mark me the brainiest

Answer:

6

Step-by-step explanation:

small with french roast or italian roast =2

medium with french roast or italian roast =2

large with french roast or italian roast =2

All of them combined =6 possible out comes

Answer:

The range is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The IQR is the best measure of variability because the distribution has an outlier.

Step-by-step explanation:

is this what you was looking for

Answer:

13. True, False, True

14. False, True, True

15. All true

17 (1/5) × 17,5 = 301

,..,.

Answer: yes its a 3:1 ratio

3 cups of strawberries

per 1 cup of mango

Step-by-step explanation:

so the best way i can try to explain it is this...

1 2 they both need a

_ x _ common denominator so

3 6 you need to multiply the smaller one to equal

the bottom number of the other one

oorr divide the big number on the bottom to equal

the smaller number on the bottom of the left

equation.

soooo 2 times (1:3) equals (2:6)

or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)

Answer:

four sixths + three fifths.

Step-by-step explanation:

1 8/30 = 38/30.

4/6 + 3/5

= 20/30 + 18/30 = 38/30.

Answer:

60 + 6n

Step-by-step explanation:

Distribute 6 to both terms:

6 * 10 is 60

6 * n is 6n

Both total are 60 + 6n

Hey there!

6(10 + n)

= 6(10 + 1n)

DISTRIBUTE 6 WITHIN the PARENTHESES

= 6(10) + 6(1n)

= 60 + 6n

= 6n + 60

Therefore, your answer is: 6n + 60

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

V(sphere) =

[tex] \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ [/tex]

V(hemisphere) = V(sphere)/2 = 97.715 = 97.7

Answer:

21.42

Step-by-step explanation:

Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42

So

Now

The required probability

[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]

[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]

[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]

[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]

[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]

[tex]\\ \rm\rightarrowtail 0.213[/tex]

So probability

Option B

Answer:

b.  21.4 % (nearest tenth)

Step-by-step explanation:

P(lose) = 33% = 0.33

P(win) = 1 - 0.33 = 0.67

Using binomial distribution X ~ B(n, p)

where n is the number of trials and p is the probability of success

⇒ X ~ B(15, 0.67)

Binomial probability formula:

[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]

[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]

                       [tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]

                       [tex]\sf =0.214226434...[/tex]

Converting to percentage:

0.214266434... x 100% = 21.4 % (nearest tenth)

The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.

The circumference of a circle of gotten by the formula:

C = 2πr or πd

where,

r = radius

d = diameter

Since the diameter is given as 3cm, the circumference will be:

= πd

= 3.142 × 3

= 9.426cm

In conclusion, the circumference of the circle is 9.426cm.

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Answer:

Step-by-step explanation:

Answer: She.Was.Playing.By.Ear

Answer:

6 sales

Step-by-step explanation:

(I MADE THIS QUESTION I DIDINT KNOW IF YOU NEEDED IT)

Jake wants to but the new computer(it costs $920). Jake has $560 saved in his bank. Jake also gets $60 whenever he makes a sale at his job. How many sale(s) at his job does Jake need to make? Answer -- Jake needs to make 6 sales of $60 to buy the new computer.

MATH -----

$6 x $60 = $360

$360 + $560 = $920

The distance they(Bobby's cat and dog) will be from each other after 30 minutes is 0.5x miles.

The dog runs twice as fast as the cat. Therefore,

Bobby's cat speed = x

Bobby's dog speed = 2x

Therefore,

speed  = distance / time

30 minutes = 0.5 hours

Therefore,

distance = speed × time

distance covered by the cat = x × 0.5 = 0.5x

distance covered by the dog = 2x × 0.5 = x

Therefore, the distance they will be from each other after 30 minutes is as follows:

distance = x - 0.5x = 0.5x

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There are 16 fruits in each of the boxes found under the stairs.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of pears, hence:

Number of fruit in first box = 12 + (1/9)x

Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x

Therefore:

12 + (1/9)x = (4/9)x

x = 36

First box = second box = third box = (4/9) * 36 = 16

There are 16 fruits in each of the boxes found under the stairs.

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Answer:

7

Step-by-step explanation:

Answer: 189

All Steps and Information Found in Image.

Hope This Helped!

Answer: ∠A=144°

Step-by-step explanation:

∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.

10x+24=6x+72          [subtract both sides by 6x]

4x+24=72                  [subtract both sides by 24]

4x=48                         [divide both sides by 4]

x=12

Now that we found x, we need to plug it into ∠A.

10(12)+24=120+24=144

We know that ∠A=144°.

Answer:

L= 12

Step-by-step explanation:

area= L×B

108= 9×L

108= 9L

Divide both sides by 9

108/9= 9L/9

L= 12

Answer:

114

Step-by-step explanation:

The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)

32 = (5x-12 -3x)/2

combine like terms in parenthesis and multiply both sides by 2

32·2 = 2x-12

multiply 32·2 = 64, and add 12 to both sides

64 + 12 = 2x

add 64+12 = 76, and divide both sides by 2 to isolate x

76/2 = x

38 = x

The measure of arc AB is 3x.

Substitute x for 38

Measure of arc AB = 3x = 3·38 = 114

Answer:

36

Step-by-step explanation:

triangular numbers are

1, 3, 6, 10, 15, 21, 28, 36, .....

square numbers are

1, 4, 9, 16, 25, 36, ..........

the smallest number that is triangular and square is 36

Answer:256960ft

Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.

Answer:

297 ft

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

9*9 = 81

Answer:

9

Step-by-step explanation:

9*9=81

In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.

Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.

In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.

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Answer:it answer is harvested

Step-by-step explanation:

Answer:

x = -1, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]

[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]

[tex]x=-1[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]

[tex]x=-1,\:y=-1[/tex]

Check Answer:

2(-1)-3(-1) = 1

True

-1+2(-1)= -3

True

~Lenvy~

Answer:

Step-by-step explanation:

5(a + a + b) = 5(2a + b)

use the distributive property:

a(b + c) = ab + ac

= 5 · 2a + 5 · b =10a + 5b

Answer:

[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

⇒ a+a=2a

Rewrite the problem down.

[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]

Multiply should be expanded.

⇒ 5*2a=10a

⇒ 5*b=5b

Rewrite the problem.

⇒ = 10a+5b

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

that the answer

calculate them

Answer:

5 + 3(4)

5+ 12

17

Step-by-step explanation:

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Answer:

17

Step-by-step explanation:

5 + (3 x 4)

5 + (12)

17

You're multiplying 3 by 4 because x = 4. When a variable is on top of a number, you will multiply it. Almost like saying 3(4).

I hope this helped!