if f(x)=-2^-3x then f(1-x) can be written in the form Ax^2+Bx+C . find the values of A,B, and C

Answer: A

Step-by-step explanation:

The number 4, 207 in expanded form is (4 × 1000) + (2 × 100) + (0 × 10) + (7 × 1) which is correct option(A)

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given the number is 4, 207

The number is the addition of 4000, 200 and 7

So, 4207  = 4000 + 200 + 7

4000 is the product of 4 and 1000,

200 is the product of 2 and 100,

4207  = (4 × 1000) + (2 × 100) + (0 × 10) + (7 × 1)

Hence, It is the expanded form of number 4,207.

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Answer:

4n+11

Step-by-step explanation:

-2n+6n=4n

Hope this helps! :)

Answer:

4n+11

Step-by-step explanation:

Move the variables together

-2n+6n+11

4n+11

The surface area of the triangular prism (SA) =

460 square meters.

Find the surface area of a triangular prism, with the formula:

Surface Area = (2 x Area of Triangle) + (Perimeter of Triangle x Height of Prism) + (2 x Area of Rectangle)

First, let's compute the area of the triangular base:

The sides of the triangle are given as 13 meters, 13 meters, and 10 meters, and the height of the triangle is given as 12 meters.

Using the formula for the area of a triangle (AT):

AT = (base x height) / 2, we get:

AT = (10 x 12) / 2 = 60 square meters

Next, let's calculate the perimeter of the triangle (PT):

PT = sum of all sides:

PT = 13 + 13 + 10 = 36 meters

Now, let's calculate the area of the rectangle (AR):

The length of the rectangle is the same as the perimeter of the triangle, which is 36 meters, and the width of the rectangle is the height of the prism, which is given as 5 + 2/3 meters.

Convert the mixed number to an improper fraction:

5 + 2/3 = (5 x 3 + 2) / 3 = 17/3 meters

AR = length x width = 36 x 17/3 = 612/3 = 204 square meters

Finally, we use the formula for the surface area of the triangular prism:

SA = (2 x Area of Triangle) + (Perimeter of Triangle x Height of Prism) + (2 x Area of Rectangle)

SA = (2 x 60) + (36 x 17/3) + (2 x 204

SA = 120 + 204 + 136

Therefore Surface Area = 460 square meters

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The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

The given parameters are:

Perimeter = 210 meters

Let the length parallel to the wall be represented as z and the width be x

So, the perimeter of the fence is

P = 2x + z

This gives

210 = 2x + z

Make x the subject

x = 1/2(210 - z)

The area of the wall is calculated as

A = xz

So, we have

A = 1/2(210 - z) * z

This gives

A = z/2(210 - z)

Rewrite as

A(z) = z/2(210 - z)

Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

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Answer:

glucose, sunlight and oxygen on the left (they go in the cell)

water and carbon dioxide on the right (they go out of the cell)

Answer:

The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.

Step-by-step explanation:

This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)

T1 = 27

T2 = -3 = T1 - 30 = 27 - 30

T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)

T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)

In general, the nth term of this sequence:

S(n) = 27 - 30X(n-1)

Answer:

Peter missed five questions.

Step-by-step explanation:

Since the test has twenty-five questions, and Peter got 80% correct...

80/100 = __/25 <--What number is the numerator?

Well, to get from 100 to 25, you have to divide by 4. 100/4 = 25.

Now, what is 80/4? If you do the math, you should get 20.

25 (Total Questions) - 20 (Questions Correctly Answered) = 5 (Questions Incorrectly Answered)

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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Integrate by parts with

\(u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi\)

\(dv = d\phi \implies v = \phi\)

to evaluate the integral in the definition of \(f\).

\(\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16\)

Now if \(\phi=1\), we have

\(f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}\)

and so

\(\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}\)

It follows that

\(\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}\)

Answer:

The answer to this question is 6720

Answer:

557

Step-by-step explanation:

l x w

13x24

13x7

22x7

557

You have two events:

A: pick an ace

B: pick a club

A suffled standard has: 52 cards.

4 aces

13 clubs

As the events A and B are not mutually exclusive (can happen at the same time) the probability is:

Probability of A: #aces/#cards = 4/52

Probability of B: #clubs/#cards = 13/52

Probability of A and B: #ace clubs/#cards = 1/52

Then the probability of pick an ace or a club is:

Then, the probability is 4/13

Answer:

It is a function.

Step-by-step explanation:  Each input has only one output.

Answer:

a. P(X<5)=0.729

Step-by-step explanation:

The question is incomplete:

"The port of South Louisiana, located along miles of the Mississippi River between New Orleans and Baton Rouge, is the largest bulk cargo port in the world. The U.S. Army Corps of Engineers reports that the port handles a mean of 4.5 million tons of cargo per week. Assume that the number of tons of cargo handled per week is normally distributed with a standard deviation of 0.82 million tons.

a. What is the probability that the port handles less than 5 million tons of cargo per week (to 4 decimals)."

We can solve this using the z-score.

We have a normal distribution with mean 4.5 and standard deviation 0.82.

The z-score for X=5 is:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{5-4.5}{0.82}=\dfrac{0.5}{0.82}=0.6098\)

Then, the probability that X<5 is:

\(P(X<5)=P(z<0.6098)=0.729\)        

The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

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To find the total units of water collected for day 3, we can simply add up the units of water collected on each day, starting with the 1 unit of water we already have:

Day 1: 1 unit of water

Day 2: 1 unit of water

Day 3: 1 unit of water

1. Total units of water collected for day 3 = 1 + 1 + 1 = 3 units of water

2. Since we only need to consume 1 unit of water per day to survive, we would have consumed a total of 3 units of water in 3 days.

3. To find the amount of water leftover, we can subtract the units of water consumed from the total units of water collected:

Total units of water collected = 3 units

Units of water consumed = 3 units

Water leftover = Total units of water collected - Units of water consumed

= 3 - 3

= 0 units of water leftover

4. We could collect water in a number of ways, depending on what resources were available on the island. We could collect rainwater using containers, or we could find a freshwater stream or well and collect water from there. We could also try to collect dew or moisture using a cloth or other absorbent material.

5. The tools we would use to collect water would depend on the method we chose. For example, if we were collecting rainwater, we would need containers to catch the water, such as buckets or barrels. If we were collecting water from a stream or well, we would need a way to transport the water back to our shelter, such as a jug or canteen. If we were collecting moisture, we would need a cloth or other absorbent material to collect the water.

Answer:

0, -3.

Step-by-step explanation:

12x(x+3)=0

Either 12x = 0 or (x + 3) = 0

x = 0/12 or x = -3

So, x = 0 or x = -3

We have: 103/20= 5,15   ;   5 2/9= 5,(2)

So the answer is:

103/20 < 5.169 < 5.19 < 5 1/2

ok done. Thank to me :>

Answer:

1.8 or 9/5

Step-by-step explanation:

4\(\frac{1}{2}\) ÷ \(2\frac{1}{2}\)

Change into improper fractions

\(\frac{9}{2}\)÷\(\frac{5}{2\\}\)

Flip the second fraction and then multiply

\(\frac{9}{2}\)×\(\frac{2}{5}\)=\(\frac{18}{10}\)

18/10 is 1.8 as a decimal and 9/5 simplified

Answer: 1-4/5 dozens of muffins.

Step-by-step explanation;

Step One. Turn the fractions into decimals to make it easier; 4-1/2 will be 4.5 and 2-1/2 will be 2.5.

Step Two. Apply the rule of three, using the variable x to represent the number of muffins Garnet can make; 2.5/1 = 4.5/x.

Step Three. Solve for x by cross multiplying; x = 1.8. So Garnet can make 1.8 dozens of muffins with 4.5 cups of flour.

Step Four. Convert the decimal into a fraction; 1.8 in a fraction form is 9/5, or 1-4/5.

The solutions to the quadratic problem are x = -1 and x= 4

From the question, we are to create a problem with a quadratic equation and solve graphically

Consider the quadratic equation

x² -3x -4 = 0

The graph of the quadratic equation is shown below

We can observe that the graph cuts the x-axis at the point x = -1 and x = 4

Hence, the solutions to the quadratic problem are x = -1 and x= 4

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Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Answer:

A, B

Step-by-step explanation:

The function is increasing when it is going "up".

Answer:

4/10

Step-by-step explanation:

this is the answer

Answer:

7/8

First Step: 1/2 converts to 4/8

Second Step: Add 4/8 and 3/8

4/8 + 3/8 = 7/8

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.