What of the following exponential functions is represented by the data in the table?
A) f(x)=(1/3)^3
B) f(x)=3^x
C) f(x)=x^3
D) f(x)=x1/3

Answer:

Step-by-step explanation:

Answer:

  (17.5√2 miles west, 17.5√2 miles north)

Step-by-step explanation:

The distance in the west direction will be ...

  35cos(45°) = 17.5√2 . . . . miles west

The distance in the north direction will be ...

  35sin(45°) = 17.5√2 . . . . miles north

The vector components are ...

  (17.5√2 miles west, 17.5√2 miles north)

_____

Additional comment

When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...

  (-24.7, 24.7) miles

Answer:

y=0.25x-6

Step-by-step explanation:

Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

For the system, we consider that:

In total, there are 152 books, hence:

[tex]x + y + z = 152[/tex]

The first shelf has 7 fewer books than the second shelf, hence:

[tex]x = y - 7[/tex]

Also, it has 11 more books than the third shelf, hence:

[tex]x = z + 11[/tex]

Then:

[tex]y - 7 = z + 11[/tex]

[tex]z = y - 18[/tex]

Then, replacing in the first equation:

[tex]x + y + z = 152[/tex]

[tex]y - 7 + y + y - 18 = 152[/tex]

[tex]3y = 177[/tex]

[tex]y = \frac{177}{3}[/tex]

[tex]y = 59[/tex]

The number of books in each shelf has to be countable, that is, cannot be decimal.

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Answer:

105.876373581

Step-by-step explanation:

8.563 + 4.8292 = 13.3922

13.3922 × 9.183 = 122.9805726

122.9805726 ÷ 1.192 = 103.171621309

103.171621309 ÷ 1.192 = 86.5533735811

86.5533735811 + 19.323 = 105.876373581

Step-by-step explanation:

8.563+4.8292=A

( A*9.183)÷1.192÷1.192=B

B+19.323=C

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USE CALCULATOR...

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STAN TREASURE

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

The side lengths of EFGH are given as:

[tex]EF = 12\ cm[/tex]

[tex]FG = 6\ cm[/tex]

[tex]GH = 9\ cm[/tex]

[tex]EH = 9\ cm[/tex]

Length NO is also given as:

[tex]NO = 7.5\ cm[/tex]

Because both quadrilaterals are similar, then side NO corresponds to side FG.

The scale factor (k) from EFGH to MNOP is then calculated as:

[tex]k = \frac{NO}{FG}[/tex]

[tex]k = \frac{7.5}{6}[/tex]

[tex]k = 1.25[/tex]

The side lengths of MNOP are then calculated using:

[tex]MN = 12cm \times 1.25[/tex]

[tex]MN = 15\ cm[/tex]

[tex]OP = 9cm \times 1.25[/tex]

[tex]O P = 11. 25 cm[/tex]

Also,

[tex]MP = 11. 25 cm[/tex]

So, the true statement is (d)

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Answer:

If I am thinking right ya

Step-by-step explanation:

Answer:

Step-by-step explanation:

no mate

your answers for consecutive interior angles are wrong, the answers for that

8 and 13     and    3and 10  should go into the alternate interior angles section

and 2 and 11  should go into the alternate exterior angles section

The solution of the given equation will be C -x< 30

An equation represents the equality of two or more mathematical expressions.

A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.

We have been given the equation as 3-x/2<18.

Now solving for x

3-x/2<18.

Eliminate 3

-x/2 < 18 - 3

-x/2 < 15

Multiply by 2 on both sides;

-x/2 < 15 (2)

-x< 30

Therefore, the solution of the given equation will be C -x< 30

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Answer:

SOLUTION

HERE,

=X(P.2+Q)

=X(2P+Q)

Answer:

x(px+q) ( I took x as a common and the remaining are some

Step-by-step explanation:

I assume you mean how do you divide a fraction by a whole number

In order to divide a fraction by a whole number we must use the KFC rule or the "Keep, flip, change" rule

The "Keep" means we keep the first fraction the same.

Next, we "flip" the second fraction (or in this case number; however it can be made into a fraction by putting it over 1). So now we have 4/10 divided by 1/2

Then we "change" the symbol so instead of dividing the fraction, we change the divide to a multiply.

Lastly, you just multiply the fractions as you usually would and you should end up with 4/20 which simplifies to 1/5 if my maths is correct.

Hope this helps.

Answer:

you can use KCF for this answer as well

Step-by-step explanation:

2 as a fraction would be 2/1

you need 4/10 divided by 2/1

applying KCF, you change it to be 4/10 multiplied by 1/2

solve to get 4/20 or simplified 1/5

hope this helped :)

3) Para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

4) El fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

3- Dado que las 80 habitaciones de un motel se podrían alquilar todas las noches si el director cobrara 40€ o menos por habitación, y si se cobra (40+x) € por habitación, entonces 2x habitaciones permanecerán vacantes, para determinar, si cada habitación alquilada le cuesta al director 10 € al día y cada habitación no alquilada 2 € al día, qué precio debería cobrar el director por habitación para maximizar su beneficio diario, se deben realizar los siguientes cálculos:

Por lo tanto, para maximizar su beneficio diario el director debería cobrar cada habitación a €56.

3) Dado que un fabricante de automóviles vende 2000 coches al mes, con un beneficio medio de 1000 € por coche, y las prospectivas de mercado indican que por cada 50 € de descuento que el fabricante ofrezca a los compradores podría vender 200 coches más al mes, para determinar cuánto descuento debería ofrecer para maximizar el beneficio mensual se debe realizar el siguiente cálculo:

Por lo tanto, el fabricante debería ofrecer un descuento de 150€ para maximizar su beneficio mensual.

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Answer:

i think its D

Step-by-step explanation:

hope this helps!

Answer: 2.78

Step-by-step explanation:

long division

It will take 29 years to reach $725 to $2000 compounded twice in a month.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded twice each month is,

A = P(1 +(r/24)/100)²⁴ⁿ.

Given, A = 2000, P = 725, r = 3.5.

∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.

(1 + (3.5/24)/100)²⁴ⁿ = 2.76.

(1.00146)²⁴ⁿ = 2.76.

24n = [tex]log_{1.00146}2.76[/tex].

24n = 695.87.

n = 29 years.

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Step-by-step explanation:

let's create the corresponding equation.

it is linear, because the cost per hour is constant, no matter how many hours the car parks.

t is the variable indicating the amount of hours parking.

every hour costs $2.

and $8 is the starting value (we have to pay that, even if we have 0 hours parking time).

cost(t) = 2t + 8

so, the cost after 3 hours is

cost(3) = 2×3 + 8 = 6 + 8 = $14

Answer:

  length 17 feet

  width 7 feet

Step-by-step explanation:

Let w represent the width. Then the length is 2w+3, and the perimeter is ...

  P = 2(L +W)

  48 = 2((2w+3) +w) = 6w +6

  42 = 6w

  7 = w . . . . . . . . width

  (2w+3) = 17 . . . length

The length of the garden is 17 feet; its width is 7 feet.

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

Answer:

The statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Step-by-step explanation:

As the function is given by

As we know that the domain is the set of all possible input values or all  x -values that a function passes through.  In other words, domain consists of all the possible input values shown on the x-axis.

Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.

For the given function

The domain of the given function  

The domain of  can also be written as: {x | x ≥ 0}

It means the domain of the graph of this function is all real number greater than or equal to 0.

The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.

Please check the attached graph as shown in figure a, to visualize the domain and range of  

From the graph.

it is visible that the range of the given function  

The range of  can also be written as: {y | y ≥ 0}

In other words, for every input value in the domain of this function, the range of   will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.

So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Answer:

the answer 3/5 lets hop i ace it

Step-by-step explanation:

Answer:

155°

Step-by-step explanation:

We know that the sum of the sections must be 360°. So, by removing a section of 75° he leaves the paper circle with a section of 185°, then removes another 130° section, leaving the last section of 155°.

Answer:

18 cards

Step-by-step explanation:

Answer:

if its before bed time I think it is A

Step-by-step explanation:

Answer:

p < 319

Step-by-step explanation:

Answer: 40

Step-by-step explanation: do 6 add 5 add 4 add 3 add 4 add 2 add 6 add 10

Answer:

2nd one

Step-by-step explanation:

i think(10+2)^2_4*11=100 in my opinion

Applying the area of a square, the total area of the design is: 116 cm²

A square has equal side lengths, s, this, the area of a square is given as: A = s².

The three pieces of square shaped cloth that Jordan made the design from is shown in the image attached below.

To find the total area of the design, find the area of each square shaped cloth and add all together.

Thus, applying the area of a square, the total area would be:

Total Area = 4² + 6² + 8²

Total Area = 116 cm²

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Answer:

34 yards of ribbon

Step-by-step explanation:

If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer