evaluate the function for the given value of x.f(x)=n^4+10n^3+22n^2-15n-22 at n=-4

Answer:

A

Step-by-step explanation:

Point R is (1, 5).

The transformation (x + 1, y - 1) denotes a translation of one unit to the right and one unit downwards.

Simply add one to the x-coordinate and subtract one to the y-coordinate of R. Hence:

\(R'=((1)+1, (5) -1)=(2, 4)\)

Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:

\(R'=(3(2), 3(4))=(6, 12)\)

Our answer is A.

Answer:

The answer is 7.0666

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

2x-6+2-24=0

2x-4-24=0

2x-24=0

+24 +24

2x/24

X=12

Answer:

Step-by-step explanation:

2(x-3)+2-24=0

2x-6+2-24=0

2x-28=0

x-14=0

x=14

I don't think was a quadratic, but correct me if I was wrong because the wording of the problem threw me off a bit. Hope it helped!

Answer:

Fees and expenses

nominal interest rate

taxes

Step-by-step explanation:

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

Answer:

11x + 1

Step-by-step explanation:

(2x + 6) + (9x - 5) =

2x + 6 + 9x - 5 =

2x + 1 + 9x =

11x + 1

Answer:

The answer is 11 x  +  1

Step-by-step explanation:

The inverse function of f(x) is:

\(g(x) = \sqrt[3]{(x +1)/64}\)

Here we have the function:

\(f(x) = 64*x^3 -1\)

We want to find the inverse, we will say that is of the form:

\(g(x) = \sqrt[3]{a*x + b}\)

If we evaluate f(x) on g(x), we get:

\(f(g(x)) = 64*(\sqrt[3]{ax + b})^3 - 1\\ \\f(g(x)) = 64*(ax + b) - 1\)

If these are inverses, that must be equal to x:

\(64*(ax + b) - 1 = x\\\\64*a*x + 64*b - 1 = x\\\)

Then:

64*a = 1

a = 1/64

64*b - 1 = 0

b = 1/64

So the inverse function is:

\(g(x) = \sqrt[3]{(x +1)/64}\)

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Answer: 139.27

Step-by-step explanation:

So let find the area of the black swuare the length is 10 and the widith is 10, using bxh the area is 100. Now let find the aea of the semi-circle. The area of a fill circle is pi radius squared so a semi circle area will be 1/2( pi radius squared). The radius is 5 so we can calculate 1/2 of 25 pi equal = 39.27. Now let add the areas: 100+39.27=139.27.

Answer:

83 in.^2

Step-by-step explanation:

The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.

The total are is the sum of the area of the rectangle and the two triangles.

area = area of rectangle + area of first triangle + area of second triangle

area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)

area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2

area = 40 in.^2 + 28 in.^2 + 15 in.^2

area = 83 in.^2

Answer: C

Step-by-step explanation:

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

The expected waiting time in hours until the first call arrived is 0.00045.

The formula for poisson distribution is expressed as

P(x = r) = (e^- µ × µ^r)/r!

Where ,

µ=  represents the mean of the theoretical distribution.

r = represents the number of successes of the event.

According to the question,

µ = 5            

For the probability that there are one in one hour, it is expressed as

P(x = 1) ,

Therefore,

P(x = 1)

= (e^- 10 × 10^1)/1! = 0.00045

Therefore,

P(x = 1)

= 0.00045

Poisson distribution

A Poisson distribution is a discrete probability distribution. It gives the probability of an event happening a certain number of times (k) within a given interval of time or space.

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Answer:

396

Step-by-step explanation:

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Equation: h(t) = 96t - 16t²

h(t) = 96t - 16\(t^{2}\)

Find the zeros of the given equation:

Factor out the greatest common factor (GCF)

h(t) = 8t (12 - 2t)

The two factors are:

0 = 8t

0 = 12 - 2t

For both factors, solve for t

8t = 0

8t/8 = 0/8

t = 0

12 - 2t = 0

-2t = -12

t = 6

Now we have the x-values (t) of our zeros:

t = 0

(0, 0)

t = 6

(6, 0)

The ball will land on the ground at 6 seconds

Recall that the maximum point of the graph is halfway between the two zeros:

6 + 0 = 6

6 ÷ 2 = 3

The ball will reach its maximum height in 3 seconds

To find this height, substitute t for 3 in the given equation, and solve for h:

t = 3

h(3) = 96(3) - 16(3)²

       = 288 - 16(9)

       = 288 - 144

       = 144

The maximum height the ball will reach is 144 feet

***Refer to the graph below to check your answer:

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

Explanation:

I'll use x in place of t

And use y in place of h(t)

The equation we have is y = 96x - 16x^2

This rearranges to y = -16x^2 + 96x

Compare this to y = ax^2+bx+c to find that

The x coordinate of the vertex is

h = -b/(2a)

h = -96/(2*(-16))

h = 3

Then plug this into the equation to find the value of y

y = -16x^2 + 96x

y = -16(3)^2 + 96(3)

y = 144

The y coordinate of the vertex is k = 144

The vertex is located at (h,k) = (3, 144) to represent the highest point of the parabola.

The max height of 144 feet occurs when the ball is in the air for 3 seconds.

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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2^4 × 2^6 can be rewritten as 2^10 by adding the exponents together, which represents multiplying 2 by itself 10 times.

To rewrite the expression 2^4 × 2^6 using a single exponent, we can apply the property of exponents known as the power of a power rule, which states that when raising an exponent to another exponent, you multiply the exponents together.

In this case, we have the same base of 2, so we can combine the exponents:

2^4 × 2^6 = 2^(4+6).

By adding the exponents, we obtain:

2^(4+6) = 2^10.

Therefore, 2^4 × 2^6 can be simplified to 2^10.

Another way to understand this is by recognizing that multiplying two powers with the same base is equivalent to adding their exponents. In this case, 2^4 represents 2 multiplied by itself four times, and 2^6 represents 2 multiplied by itself six times. So, when we multiply these two expressions, we are essentially multiplying 2 by itself a total of 4 + 6 = 10 times.

Hence, the simplified form using a single exponent is 2^10.

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Answer:

The actual discount is a 68% discount.

Step-by-step explanation:

Remember that if something has a price P, and you have a discount of the X%, the new price will be:

P' = P - P*(X%/100%) = P*(1 - X%/100%)

Here we first have a 60% discount, then if the initial price is P, the new price is:

P' = P*(1 - 60%/100%) = P*(1 - 0.6)

Now we have an additional 20% discount (this applies to the new price)

then the final price is:

P'' = P'*(1 - 20%/100%) = P'*(1 - 0.2) = P*(1 - 0.6)*(1 - 0.2)

We want to rewrite this as something like:

P'' = P*(1 - k)

Let's do this:

P'' = P*(1 - 0.6)*(1 - 0.2) = P*(1 - 0.2 - 0.6 + 0.2*0.6)

                                     = P*(1 - 0.8 + 0.12) = P*(1 - 0.68)

And this can be as:

P'' = P*(1 - 68%/100%)

Then the actual discount is a 68% discount.

Answer:

perimeter: 2

Step-by-step explanation:

8x-3 = 6x

8x – 6x = 3

2x = 3

x = 3/2

The required algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The difference between the perimeter of Tamara's suitcase and Anna's suitcase can be found by subtracting the expression for the perimeter of Anna's suitcase from the expression for the perimeter of Tamara's suitcase:

(8x - 3) - (3x + 2)

Simplifying the expression by removing the parentheses and combining like terms, we get:

8x - 3 - 3x - 2

= 5x - 5

Therefore, the algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.

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Answer:

Step-by-step explanation:

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

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Answer:

you need to make it an actual problem

Answer:

500 million / 11,000 = 45,454.5455

Step-by-step explanation:

Answer:

Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.

Question 2: To find the standard deviation, we first need to find the mean:

Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0

Next, we find the difference between each data point and the mean:

(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)

19, -4, 2, -114, -4, 19, 9, 19, 6, -2

Then we square each difference:

361, 16, 4, 12996, 16, 361, 81, 361, 36, 4

The sum of these squared differences is:

361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136

To find the variance, we divide the sum of squared differences by the number of data points minus one:

Variance = 14136 / 9 = 1570.7

Finally, we find the standard deviation by taking the square root of the variance:

Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)

Step-by-step explanation:

Answer:

i think it 5/

orry if i wrong

Step-by-step explanation:



Answer:

-2

Step-by-step explanation:

I got it wrong and it told me negative 2 was the correct answer lol

Answer:20x2

Step-by-step explanation: