What is the value of the expression (5)³?​

It's answer is option(C) i.e, 4/15

The average rate of function f  over the interval a≤x≤b is given by ,

(f(b) - f(a)) / (b - a)

It is the average amount by which the function changed per unit throughout that time period.

In this question the equation is given,

g(x) = log2 (x+6)-3

Solve this eq. by putting the values [-5, 10],

let, interval [-5, 10] = [a, b]

Then solve for g(a) and g(b), we know g(a) = g(-5),

g(-5) = log₂(-5+6) - 3

       = log₂1 - 3

       = 0 - 3

g(-5) = -3

Now, for g(b) = g(10)

g(10) = log₂(10+ 6) - 3

        = log₂16 - 3

        = 4 - 3

g(10) = 1

Now put these values in average rate formula,

Average rate = (g(b) - g(a)) / (b - a)

                      = (1 - (-3)) / (10 - (-5))

                      = (1 + 3) / (10 + 5)

                      = 4 / 15

Therefore, the average rate is 4/15 i.e, option(C)

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Answer: C. 4/15. I took the test and got it right.

Step-by-step explanation:

The image under the given transformation is [tex]\left[\begin{array}{ccc}-7\\10\end{array}\right][/tex] .

A matrix that transforms one vector to another vector by the process of matrix multiplication is transformation matrix.

A = [tex]\left[\begin{array}{ccc}-1&-2\\4&-1\\\end{array}\right][/tex] is to be solved with [tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex]

In linear transformation, T(x) = Ax

Lets say, Ax = B

Here, B = image of x under this transformation

B = Ax

= [tex]\left[\begin{array}{ccc}-1&-2\\4&-1\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}3*-1+-2*-2\\4*3+-1*-2\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-3+-4\\12+-2\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-7\\10\end{array}\right][/tex]

Therefore, we can conclude that the image under the given transformation is [tex]\left[\begin{array}{ccc}-7\\10\end{array}\right][/tex].

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Mortgages are calculated using simple interest, so:

P= principal amount

r= interest rate

t= time

For P=1.2mill

r=1.95%

t=20years

The simple interest will be:

Now divide the calculated amount by 20 to get the yearly fee:

And finally divide it by 12 to get the monthly fee:

The exercutive will pay 6950 monthly

Answer:

first day=10 hours, second day=12 hours, third day=14 hours

Step-by-step explanation:

64+62+58=

126+58=184

o=day 1. t=day 2. th=day 3

o+t+th=36

o+4=th

64o+62t+58th=2196

(o+t+th=36)*58

58o+58t+58th=2088

64o+62t+58th=2196

-(58o+58t+58th)=2088

6o+4t=108

o+t+th=36

o+t+o+4=36 ==> th=o+4

2o+t+4=36

2o+t=32

(2o+t=32)*3

6o+4t=108

-(6o+3t=96)

t=108-96

t=12

2o+12=32 ==> 2o+t=32

2o=20

o=10

o+4=th

10+4=14

th=14

o=10, t=12, th=14

Answer:

solid photo

Step-by-step explanation:

The inverse and domain of the inverse of the function are attached below.

In mathematics, an inverse is a function that serves to “undo” another function. That is, if y produces y, then putting y into the inverse of produces the output x.  A function y that has an inverse is called invertible and the inverse is denoted by inverse of y.

The inverse of the given function is

[tex]y = (x+2)^2, y-^1(x) = \sqrt{x} - 2, -\sqrt{x} - 2[/tex]

The domain of the function is

[tex]domain= [0, \infty)[/tex]

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2 - x = - 7

Adding x at both sides of the equal signe, we get:

2 - x + x = - 7 + x

2 = -7 + x

Adding 7 at both sides:

2 + 7 = -7 + x + 7

9 = x

The thing that she can do to increase the savings is A. Deposit money into her savings account each month.

Your information is incomplete and the complete question is written below. Savings accounts offer interest based on the balance. Therefore, you can boost the interest you receive on a savings account by making a deposit each month. By doing so, you will increase the account's total balance and, consequently, the interest rate.

The alternate selections are incorrect since doing so will result in a decrease in the amount of money in the savings account and a reduced rate of interest. Instead, use the money to open a checking account.

Note that the complete question is attached.

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Your sister is looking for a way to increase the amount of interest she is earning on her savings account. What should she do?

A. Deposit money into her savings account each month

B. Use the money from her savings account to open a checking account instead

C. Switch to a savings account with a lower interest rate

D. Make monthly withdrawals from her savings account

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

Explanation:

5624 is close to 5600

72 is close to 70

Therefore, 5624 ÷ 72 is close to 5600 ÷ 70 = 80

Think of it like saying 56 ÷ 7 = 8 but then we add the zeros onto each to get what is shown above.

--------

Use your calculator to find that

5624 ÷ 72 = 78.111 approximately

which isn't too far from the estimate value of 80. Our estimate is an over-estimate.

Answer: 80

Step-by-step explanation:

First change the equation to the nearest tenth,
5620 divided by 70

Now, break up the 70 into ( 10 * 7 )

So first do 5620 divided by 10

5620 divided by 10 = 562

Now if we round to the nearest tenth again we get 560

Now we can divide 560 by 7

Which comes out to 80

Answer:

9 x 16 is 144

Step-by-step explanation:

If the 99 in the middle wasn't mistaken, the answer is 225.

Hope this helps!

Answer:225

Step-by-step explanation:

9x16=144 then 144+99=225

Rigid transformation is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. The rigid transformations include rotations, translations and reflections

Option A is a translation then is rigid

Option B is a rotation then is rigid

Option C is a reflection then is rigid

Option D is a dilation and translation then is not rigid because the dilation is not a rigid transformation because the size of the objects is different

then right o

Answer:72%, 72/100, and .72

25%, 25/100, and .25

500% 5/1, and 5.0

5%, 5/100, and .05

307%, 307/100, and 3.07

165%, 165/100, and 1.65

Step-by-step explanation:

The rule of the compounded interest is

A is the new value

P is the initial value

r is the rate in decimal

n is the period

t is the time

He invested $2000

P = 2000

The account earns an 8% annual interest

r = 8% = 8/100 = 0.08

The balance is for 4 years

t = 4

For no 1 it is annual, then

n = 1

Substitute these values in the rule above

Round it to the nearest cent means 2 d.p

The balance is $2720.98

2. Semi-annual means

n = 2

So we will substitute n by 2

Round it to the nearest cent

The balance is $2737.14 in semi-annual

3. Quarterly means

n = 4

So we will substitute n by 4

Round it to the nearest cents

The balance is $2745.57 quarterly

4. Monthly means

n = 12

Substitute n by 12

Round it to the nearest cent

The balance is $2751.33 monthly

If we want to know how many times more robberies were in year 2 copare to year 4 we must take the number of robberies during year 2 and divide it by the number of robberies during year 4. If you take a look at graph A you'll notice that the bar above year 2 has its top at 285 and the bar corresponding to year 4 at 220. Then there were 285 robberies in year 2 and 220 in year 4 so we get the following:

If we round to two decimal places the answer is 1.30 times more robberies.

Answer:b

Step-by-step explanation:

When we have a pair of angles on the same side of the transversal but one interior to the parallels and one exterior, we can deduct that those are angles are classify as corresponding angles, which are always congruent.

After performing some mathematical operations, we know that the original area of the fabric is 4,000 cm².

So, the original area of fabric is:

Then:

The area after 1st wash is  3000 cm².

Then:

Therefore, after performing some mathematical operations, we know that the original area of the fabric is 4,000 cm².

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If Vladimir is looking to retire in 10 years and he has planned to put $25,000 into an investment from today itself, that earns interest at a fixed amount per year, considering the rate of interest to be (R%) per annum, the domain and range for a function modeling the total amount of the investment, including interest are as follows:

Domain [X = {0 ≤ years ≤ 10}]

Range (total amount), [Y = {$25,000 ≤ Y ≤ 25,000( 1 + 10R)}]

As per the question statement, Vladimir is looking to retire in 10 years and he has planned to put $25,000 into an investment from today itself, that earns interest at a fixed amount per year, and since there is no information about the rate of interest of that investment, we are considering the rate of interest to be (R%) per annum.

We are required to determine the domain and range for a function modeling the total amount of the investment, including interest using the question statement mentioned data and our assumptions.

Since the starting principal amount, say P is $25,000, given,

Time of investment, say T is 10 years, also given,

And considering the interest rate per year to be R (%),

Then after 10 years, the total amount Vladimir has is [25000( 1 + xR)].

Where, the Domain (No. of years ) is [X = {0 ≤ years ≤ 10}]

And Range (total amount), [Y = {$25,000 ≤ Y ≤ 25,000( 1 + 10R)}]

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Answer:

Explanation: We need to find the area of the shaded sector that has an angle of 64 degrees:

We can reason that it must be the portion of the total area of the circle, and we also know the radius of the circle:

The area of the circle is:

The area of the sector is:

We know that 64 degrees are part of the full circle which is 360 degrees, therefore:

answer: the number is 268

The total hours for the week is 32 hrs 55 mins.

Mon total hours = ( 12:00 - 8:30) + ( 17:35 - 12: 35)hrs

= 3 hrs 30 mins + 5 hrs

= 8hrs 30mins

Tue total hours = ( 12:15 - 8:25) + ( 17:30 - 13: 00)hrs

= 3hrs 50mins + 4hrs 30mins

= 8hrs 20mins

Wed total hours = ( 12:45- 8:28) + ( 16:25 - 13: 15)hrs

= 4 hrs 17 mins + 3hrs 10 mins

= 7hrs 27mins

Thu total hours = ( 01:08- 8:15) + ( 17:42 - 13: 45)hrs

= 4hrs 53mins + 3hrs 57 mins

=8hrs 50mins

Fri total hours = ( 12:30- 8:50) + ( 17:08 - 13: 00)hrs

=3hrs 40mins + 4hrs 8 mins

=7 hrs 48 mins

Therefore total work hours = 32 hrs 55 mins

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Answer:

hmmm, how about 242 divided by 11? the answer is 22 r0

Step-by-step explanation:

1) Note that this is a right triangle, and we can tell an isosceles one by the marks on the triangle.

2) So, we can use the Pythagorean Theorem, to find the side lengths since all we know for now is the hypotenuse:

We can discard the negative value for there is no negative length. So, the answer is 3

Answer: A

Step-by-step explanation:

Substitute y for 0, and then find x, which is 3x<-10. divide by three, and you get x<-3.33 and A is the only one with the right x coordinate and going to the left.

So first of all we have to solve this equation:

We can perform the operation 94+91=185 so we get:

And we can substract 185 from both sides of the equation:

Then the answer to part a is 215.

Now that we have the number of seats on the stage level we can find the max amount of money the theater can bring in. This will be given by the total number of seats in the stage level multiplied by the cost per ticket for these seats plus the total number of seats in balconies (185) multiplied by the cost per ticket for these seats. Then we get:

Then the max amount of money the theater can bring in for a show and answer to part b is $11075.

Answer:

[tex]\frac{2}{7}+\frac{3}{7}=\frac{5\\}{7}[/tex]

but if you want only the numerator it is 5

decimal form: 0.714

Answer:

Step-by-step explanation:

Hundreds: None

Tens: 70

Ones: 8

Tenths: None

Hundreths: 6/100

Thousandths: 3/1000

Total: 78  63/1000

Or in Numbers only:

78.063

To find 500% of a number, you have to multiply that number by 500 and then divide by 100. Calling x to the unknown number, the situation is:

Solving for x,

500% of 730 is 3650

Answer:

10 hours

Step-by-step explanation: