which of the following is the turning point of the function y=(x-8)^2-2

Answer:

10

Step-by-step explanation:

Probability is the likeliness of happening of an event.

Probability of any event A can be be defined by

no. of time event A happens/ total no. all possible  event that can occur

___________________________________

In the problem

probability of occurrence of 1 on rolling a cube is needed.

A cube has six sides with one written on one sides and rest has 2,3,4,5,6.

No of times 1 can occur on rolling the dice once will be = 1

Since there six sides and and each has different number (1,2,3,4,5,6)

There is chance that each of the number can come.

Thus, total no possible outcome = 6

Probability of occurrence of 1 = No of times 1 occurs on rolling the dice /total no possible outcome    = 1/6

_____________________________________________

If dice is rolled 1 time there is 1/6 chance that 1 will be the outcome.

If dice is rolled 1*60 time then there is 1/6*60= 10 chance that 1 will be the outcome

Thus , If you were to roll a six-sided number cube 60 times, about 10  times it is  expected that  the number cube to land on a 1.

Answer:

20

Step-by-step explanation:

Answer:

135 billion, or 135,000,000,000

Step-by-step explanation:

The 4 in 134 represents the number of billions.  Since the next digit (6) is greater than 5, we must round up, obtaining

135 billion, or 135,000,000,000

When we round off the given number to the billions place, we get -  135,000,000,000.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Given is a number as 134,642,358,000

For rounding of the number to the billions place, first we will have to find the digit representing the billions place. The digit 4 represent the billions place. So we have to round up till digit 4. We can write the rounded number as -  135,000,000,000

Therefore, when we round off the given number to the billions place, we get -  135,000,000,000.

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Answer:

x = 5

Step-by-step explanation:

Piece 1 has length 5 inches

Piece 2 has length 20 inches

Piece 3 has length 25 inches

total length:50 inches

Answer:

Step-by-step explanation:

156 minutes

2 hours 36 minutes is how long it take Gwen!

Answer:

23% increase

Step-by-step explanation:

13 - 10 = 3

3/13 = 0.2307 = 23%

Hope that helped!!! k

Answer:

given surface area with no top as 1728

We say

V= X x Y x Z

So

yz = a(y+2z)

xz = a(x+2z)

Then using partial derivatives

xy = a(2x+2y)

xy+2xz+2yz = 1728

So

xy+2yz = xy+2xz

x=y

So

4xz = x²+ 2xz

x = 2z

4z²+4z²+4z²= 1728

z² = 432

z = 20.8m

x = y = 41.6m

Answer:

C. repeating back what the customer says

Answer:

Step-by-step explanation:

Add 53 and 35 because 53 and x are alt exterior angles. That means that they are equal/ congruent. You can translate the angle where the 35 is down to x because they are equal.

So:

53+35= 88 degrees

x=88

Answer:

can i have a photo, please?

Step-by-step explanation:

Answer:

3-4

Step-by-step explanation:

the square root of 14 is 3.7.....

Answer:

i want orange juice

Answer:

−5 > x > 10

Step-by-step explanation:

Answer:

 6x^2 -2x -6

Step-by-step explanation:

f(x) = 6x^2 -4

g(x) = 2x+2

f(x) - g(x) =  6x^2 -4 - (2x+2)

Distribute the minus sign

                   6x^2 -4 - 2x-2

Combine like terms

                  6x^2 -2x -6

Answer:

b

Step-by-step explanation:

6x^2

2x

-4+2=-2

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

please report my answer

Step-by-step explanation:

I want my account deleted

Answer:

17

Step-by-step explanation:

16+17+18=51

I knew the highest number had to be lower than 20. So I did 17+18+19. That didn't work but noticed it was close to 51. Tried 16+17+18 and it equals 51 :)

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Answer: (In order)

25/4 / 6 1/4 = 1

3 1/7 / 2/7 = 11

5/4 / 1/4 = 5

11 1/4 / 9/4 = 5

8 1/4 / 3/4 = 11

3 1/3 / 10/3 = 1

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

750 divided by 50 = 15

15 x 7 = 105

Answer:

105 students have red hair

Step-by-step explanation:

We are told that 7 of 50 students in the school cafeteria have red hair; this works out to 14%.

Predict the number of students who have red hair by multiplying the total 750 students by 0.14:

0.14(750 students) = 105 students have red hair

Answer:

1/15 or 0.0667

Step-by-step explanation:

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bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

Answer:

(a) A(w) = w(950-2w) = 950w-2w^2

(b) w = 237.5

(c) A = 112812.5

Step-by-step explanation:

First of all the maximum area is always a square. You can get the answer first to check your work later.

950/4 = 237.5

One side is not needed so add that length to the non-parallel side.

237.5+237.5=475 feet is the length and 237.5 feet is the width(s)

A=475*237.5

A=112812.5 square feet

Doing the algebra...

P=l+2w

950=l+2w

950-2w=l

A=lw

A=(950-2w)w

A=950w-2w^2

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

  $442.42

Step-by-step explanation:

You want the remaining available credit on a credit line of $500 when charges of $25.25 and $32.33 have been made.

The remaining credit is the original credit amount less the amount of credit used:

  $500 -25.25 -32.33 = $442.42

Cameron has credit of $442.42 available.

Answer:

b = 12

x = 36.87o

y = 53.13o

Step-by-step explanation:

Pythagorean theorem: c^2 = a^2 + b^2

20^2 = b^2 + 16^2

b^2 = 20^2 - 16^2 = 400 - 256 = 144

b = √144 = 12

sin(x) = b/20 = 12/20 = 0.6

x = 36.87o

y = 90 - 36.87 = 53.13

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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Answer: 1.1

Step-by-step explanation:

Expected value is the weighted average of the various possibilities and their probability of occurring.

The probabilities represented are:

0.35, 0.35, 0.15 and 0.15.

They add up to:

= 0.35 +0.35 + 0.15 + 0.15

= 1

The possibilities are; 0, 1, 2 and 3.

Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)

= 1.1

Step-by-step explanation:

Let x=distance traveled on 20 gal

One approach is to set up a simple ratio: 15 is to 240 as 20 is to x and this is written as follows:

15/240=20/x cross multiply (actually we are multiplying both sides by 240x)

15x=240*20=4800 divide both sides by 15

x=320 mi------------------------------------distance travelled on 20 gal

Another approach would be to determine the mileage the car gets in miles/gal:

If the car goes 240 mi on 15 gal, then it goes 240/15 or 16 mi on 1 gal.

Soooooooooo our car gets 16 mi/gal and it can go 16*20 or 320 mi on 20 gal

The product of two rational numbers is a rational number.

"A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator 'p' and a non-zero denominator 'q'."

Therefore, when we are multiplying two rational numbers, their product must be a rational number.

This is because, numerators of both rational numbers are integers and denominators of both the numbers are non-zero integers.

Hence, the product is a rational number.

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Step-by-step explanation:

By using the Divergence Theorem, the flux equals

∫∫∫ div F dV

= ∫∫∫ ((-2x - 4y) + (-6z) + 12) dV

= ∫(z = 0 to c) ∫(y = 0 to b) ∫(x = 0 to a) (12 - 2x - 4y - 6z) dz dy dx

= ∫(z = 0 to c) ∫(y = 0 to b) (12a - a^2 - 4ay - 6az) dy dx

= ∫(z = 0 to c) (12ab - a^2 b - 2ab^2 - 6abz) dx

= 12abc - a^2 bc - 2ab^2 c - 3abc^2.

So, we need to find the maximum value of

f(a,b,c) = 12abc - a^2 bc - 2ab^2 c - 3abc^2, with a,b,c > 0.

First, we find the critical points of f.

f_a = 12bc - 2abc - 2b^2 c - 3bc^2 = bc(12 - 2a - 2b - 3c)

f_b = 12ac - a^2 c - 4abc - 3ac^2 = ac(12 - a - 4b - 3c)

f_c = 12ab - a^2 b - 2ab^2 - 6abc = ab (12 - a - 2b - 6c).

Setting these equal to 0 (and remembering that a, b, c > 0):

12 - 2a - 2b - 3c = 0

12 - a - 4b - 3c = 0

12 - a - 2b - 6c = 0

Solving this system yields a = 3, b = 3/2, c = 1.

By the Second Derivative Test or otherwise, this can easily be checked to yield the maximum flux.

This maximal flux equals f(3, 3/2, 1) = 27/2

In this exercise we have to use the knowledge of the divergence theorem, so we can say that the integral will be given by:

\(f(3, 3/2, 1) = 27/2\)

By using the Divergence Theorem, the flux equals:

\(= \int\limits \int\limits \int\limits{ ((-2x - 4y) + (-6z) + 12) dV}\\= 12abc - a^2 bc - 2ab^2 c - 3abc^2\)

So, we need to find the maximum value of:

\(f(a,b,c) = 12abc - a^2 bc - 2ab^2 c - 3abc^2\)

First, we find the critical points:

\(f_a = 12bc - 2abc - 2b^2 c - 3bc^2 = bc(12 - 2a - 2b - 3c)f_b = 12ac - a^2 c - 4abc - 3ac^2 = ac(12 - a - 4b - 3c)f_c = 12ab - a^2 b - 2ab^2 - 6abc = ab (12 - a - 2b - 6c).\)

Setting these equal to:

\(12 - 2a - 2b - 3c = 012 - a - 4b - 3c = 012 - a - 2b - 6c = 0\)

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