What is the average rate of change of g over the interval -8<t<2?​

It is 39

Because you have to count the little dots all the way till it is around the most age.

The LCM of 4 and 6 is 12.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, common multiples of 4 and 6 are 12, 24 and 36, but the lowest of those is 12; therefore, the lowest common multiple of 4 and 6 is 12.

Given:

4: 2 x 2

6: 2 x 3

Now, as there is one 2 common in both then it will be written for one time.

and the rest uncommon numbers are written as same as well.

So, LCM( 4, 6)= 2 x 2 x 3 = 12

Hence, the LCM of 4 and 6 is 12.

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Answer:

7m and 17m

Step-by-step explanation:

The length would be between 7m and 17m. This is because since the sum of two sides of a triangle must be greater than the third side. The sum of the third side and 6 must give us something greater than 12. This means the least the length can be is 7m. Since 6+12=18, the third side also has to be less than 18. This means the greatest the length can be is 17m.

Answer:

42 000

Step-by-step explanation:

72 ≈ 70 (2 is from 1-4 so round down)

596 ≈ 600 (6 is from 5-9 so round up)

72 × 596 ≈ 70 × 600

               = 42 000

Answer:

42,000

Step-by-step explanation:

72 rounds to 70 because two is not 5 or greater so it rounds down to zero. 596 rounds up to 600 because 6 is greater or equal to 5 so you round up. Since there is already a 9 in the tens place, you have to add 1 to the hundreds place in order to round up. So the equation would be 70x600= 42,000.

What is the question? i cant see anything

Step-by-step explanation:

hey mister can u help me small help needed

Using the absolute value concept, it is found that the solution is:

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

\(|y - 9| \leq 12\)

\(-12 \leq y - 9 \leq 12\)

\(-12 \leq y - 9\)

\(-y \leq 3\)

\(y \geq -3\)

\(y - 9 \leq 12\)

\(y \leq 21\)

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Answer:

B: -3 ≤ y ≤21

Step-by-step explanation:

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

The measure of ∠1 is 41°, ∠2 is 27° and ∠3 is 63°.

Same-side exterior angles are two external angles to the parallel lines that are on the same side of the transverse line. According to the theorem, same-side exterior angles are supplementary, which means they add up to 180 degrees.

⇒∠1 + ∠2 + 22°+90° =180°

⇒∠1 + ∠2 = 180° - 112° = 68°

⇒∠1 + ∠2 = 68°

Similarly,

⇒∠3 =180°-117°=63°

⇒63°+ 90°+∠2 = 180°

⇒153°+∠2 = 180°

⇒∠2 =180°-153° =27°

⇒∠1 = 68°-27°= 41°       (since ∠1 + ∠2 = 68°)

Hence, the measure of ∠1 is 41°, ∠2 is 27° and ∠3 is 63°.

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Answer:

8.484

Step-by-step explanation:

Answer:

8.484

Step-by-step explanation:

-12 will be the term for y

Let us suppose that x= 0

then we will get

3y + 4 = x

and then it will be

3y+ 4 = 0

Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side

3y= -4

now,

3y = 1/4

y = 1/[4*3]

y=1/12

y= - 12

Hence the answer will be y= -12

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Answer:

William picked 95 apples.

Answer:

\(P(3\ or\ c) = 0.45\)

Step-by-step explanation:

Given

See attachment for spinner

Required

\(P(3\ or\ c)\)

From the first spinner, we have:

\(S = \{1,2,3,4,5\}\) --- Sample Space

\(n(S)=5\)

So, P(3) is:

\(P(3) = \frac{n(3)}{n(S)}\)

\(P(3) = \frac{1}{5}\)

\(P(3) = 0.20\)

From the second spinner, we have:

\(S = \{a,b,c,d\}\)

\(n(S) = 4\)

So, P(c) is:

\(P(c) = \frac{n(c)}{n(S)}\)

\(P(c) = \frac{1}{4}\)

\(P(c) = 0.25\)

The required probability is then calculated as:

\(P(3\ or\ c) = P(3) + P(c)\)

\(P(3\ or\ c) = 0.20 + 0.25\)

\(P(3\ or\ c) = 0.45\)

not to buy all of them they can by 55 boxs

Answer:

(-5n)-2=26-2n

Step-by-step explanation:

i think -9 1/3

well, let's say that number is "a", so it's opposite will just be "-a".

what's that number times -5?

-5*a => -5a

let's reduce that by 2

-5a -2

what would it be twice the opposite of it?

2(-a)

what is it 26 less than that?

2(-a) - 26.

\(-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}\)

Answer:

FV= $274,909.8

Step-by-step explanation:

Giving the following information:

Present value (PV)= $160,000

Interest rate (i)= 7%

Number of periods (n)= 8 years

To calculate the future value (FV) of the home, we need to use the following formula:

FV= PV*(1+i)^n

FV= 160,000*1.07^8)

FV= $274,909.8

Answer: j-7

Step-by-step explanation:

So Jayson is J

Angelo is 7 years younger than him so j-7

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Jay, because each point is fraction 1 over 8 unit from 0.

What is absolute length?

For instance, the absolute value of 12:

Absolute value is the length from which the number is from 0 in this they are adding two so it would mean that they are both 1/8 away from 0.

Hence, Jay, because each point is fraction 1 over 8 unit from 0.

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Answer:

Hello!

I gave a picture of the dot reflected across the x axis! and heres the coordinates!

Original coordinates: 3, -7

New coordinates: 3, 7

Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in the account after 10 years is $651.56.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

\(A = P(1+ \dfrac{r}{n})^{nt}\)

The principal amount is $400 which is invested for a period of 10 years at an interest rate of 5% annually. Therefore, the amount in the account after 10 years will be,

\(A = P(1+ \dfrac{r}{n})^{nt}\\\\A = \$400 (1+ \dfrac{0.05}{1})^{1 \times 10})\\\\A=\$651.56\)

Hence, the amount that will be in the account after 10 years is $651.56.

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Answer:

78 games

Step-by-step explanation:

Think of it this way. Let's name the teams Team 1 through Team 13. Team 1 needs to have 12 games to play each other team. Once those are scheduled, Team 2 needs to have 11 games scheduled to play all the other teams (remember their game against Team 1 was already scheduled). Team 3 needs to have 10 games scheduled to play all the other teams (remember their games against Team 1 and Team 2 have already been scheduled). This patten continues until you schedule a single game between Team 12 and Team 13. So the total number of games that need to be scheduled are:

12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 =  78

I don't know if the concept of triangular numbers has been touched on in your class, but if so, there is a much simpler way to calculate this using the triangular number formula with n = 12. The formula is:

T = (n * (n + 1)) / 2

So in this case:

(12 * (12 + 1)) / 2 = (12 * 13) / 2 = 6 * 13 = 78

The polynomial 7/4x + 3 is a linear polynomial as its degree is 1

Degree is known as the highest power of the variable x in a given polynomial.

According to the degree,

If degree is 1 then the polynomial is called linear polynomial.

If degree is 2 the it is called quadratic polynomial.

If degree is 3 then it is called cubic polynomial and so on

In the given question the polynomial is 7/4x + 3. Here the degree of the polynomial is 1 that is the highest power of the variable x. Thus the polynomial will be linear polynomial.

Hence the polynomial 7/4x + 3 is linear polynomial.

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer: A function has to return a unique value when given an argument. In the last set {(–2,1),(3,–4),(–2,–6)}, the argument -2 is supposed to return both 1 and -6 : this is not possible for a function.