What is the discriminant of the quadratic equation x2 - 92 - 8 = 0?

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

To find the approximate distance the ball travels after making a full rotation around the triangle of friends, we need to calculate the sum of the distances between each pair of friends.

Distance between Luke and Serena:

√[(4 - 4)² + (9 - (-14))²]

= √(0 + 23²)

= √529

= 23 feet

Distance between Serena and Nick:

√[(4 - (-8))² + ((-14) - (-2))²]

= √(12² + (-12)²)

= √(144 + 144)

= √288

= 16.97 feet (approx.)

Distance between Nick and Luke:

√[((-8) - 4)² + ((-2) - 9)²]

= √((-12)² + (-11)²)

= √(144 + 121)

= √265

= 16.28 feet (approx.)

Now, to get the approximate total distance traveled, we add the distances together:

Total distance ≈ 23 + 16.97 + 16.28

                        = 56.25 feet

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

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The score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.

The average of the group of numbers is the ratio of the sum of all the numbers of the group to the total number of the group.

Lisa is currently taking physics as one of her electives in school.

Her grade at the end of the year is determined by the average of four exams, each worth 100 points.

She got exactly 80% in the course. Let she scores x marks in her fourth exam. Thus,

[tex]\dfrac{84+92+80+x}{4}=80\\256+x=80\times4\\x=320-256\\x=64[/tex]

Hence, the score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.

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Answer:

check the explaination :) hope this helped

Step-by-step explanation:

V of large cone =  1107 π m^3

V of small cone = 405 π m^3

Total V =   1512 π m^3

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I see you already got other answers but I'm going to offer a more in depth explanation to help with similar questions in the future.

The equation you have here is in the form of y = mx + b

You may have seen this in one of your lessons, maybe refered to as slope, y-intercept form?

We have y = -6x + 640

If we break it down we can see how this is in y = mx + b form.

y is the ounces of water in a water cooler

x is the number of paper cups filled

-6 is our m

and 640 is our b

The question is asking about 640 (our b) so I will talk about that first.

This is the y-intercept, the point where, if we were to graph this (see attachment, green dot on the line), that the line would cross the y-axis. This is the point where x is zero.

In our case this would be the amount of water in the cooler when we have filled zero paper cups with water. Hence the answer being D.

Now I will explain the m value, -6 in this case.

This is the rate of change (or slope).

For this question it is how much water we take out (negative value) per paper cup. In other words, how much water goes into each paper cup, -6 ounces.

Take a look at the second attachment. You can see that I go 6 hops down and 1 hop right (yellow line). This is because we always view our m value as a fraction.

In this case, because we have -6, it appears to not be a fraction but a whole number. Always remember that any whole number is just a fraction over 1. We can rewrite our -6 as -6/1.

Slope is written as rise/run. This means that we rise (vertical, up & down) by our top (numerator) value (in this case go down 6, because the 6 is negative) and run (horizontal, left & right) by our bottom (denominator) value (in this case go right 1, because the 1 is positive).

***Remember: positive rise, go up; negative rise, go down. Positive run go up; negative run go down.

Hope this will help you in the future!

Answer:

ALTERNATE INTERIOR ANGLES is the answer

Answer: the answer is the last one . Alternate interor angles

Answer:

Answer D (.22)

Step-by-step explanation:

If Brainly would stop deleting my answer, your answer is D (.22).

The number of apples that are red is 50

From the question, we are to determine the number of apples that are red

From the given information,

The ratio of red apples to green apples is 5:2

∴ Sum of ratio = 5+2 = 7
and

Total number of apples in the basket = 70 apples

Then, the number of apples that are red is

[tex]\frac{5}{7} \times 70[/tex] apples

= 5 × 10

= 50 apples

Hence, the number of apples that are red is 50

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Answer:

A. 28.27 ft^2

Step-by-step explanation:

You're looking for the area of the circle.
Area of circle = [tex]\pi r^{2}[/tex]
[tex]\pi (3)^{2}[/tex]
= 28.27 ft^2

PEMDAS

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction.

First, divide 3 from both sides of the equation:

[tex]\frac{(3x^2)}{3} = \frac{(48)}{3}[/tex]

[tex]x^{2} = \frac{48}{3}\\ \\x^2 = 16[/tex]

Next, isolate the variable, x, by rooting both sides of the equation:

[tex]\sqrt{x^{2} } = \sqrt{16}\\ x = \sqrt{16} = \sqrt{4 * 4}[/tex]

x = ±4

C) ±4 is your answer.

~

26

Step-by-step explanation:

Mode is a number or data in a set of data values with the highest frequency( the amount of times it appears)

Since 26 appears twice while others appear once, 26 is the mode

I'm not sure what the answer is but read some books and study also I believe relaxing music helps with homework struggles

Answer:

The answer is 21

Step-by-step explanation:

The parallelogram is divided into two congruent traigle so the area of green traigle is equal to area of blue traigle the sum of area of both these traigle is the area of parallelogram

So

2*10.5=21

PLEASE

Answer:

You factor that equation by seeing if you can take out anything. Example.

20 is the same as 2 times 2 times 5. Visualized, it is 2(10) or 4(5).

For this, you can take out the "2"

So it would be

2(x^2+1)

x^2+1 can't be factored so that is the final answer

Answer:

9(3+5)

Step-by-step explanation:

GCF is 9, because thats the highest common number that both numbers can be divided by.

27/9 = 3

45/9 = 5

so,

9(3+5)

The number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

The number of  k-element combinations of n objects, with repetition is:

[tex]\overline{C}_{n,k} = \: ^{n + k-1}C_{k} = \dfrac{(n+k-1)!}{k! \times (n-1)!}[/tex]

For this case, we're given that:

Thus, we get:

[tex]\overline{C}_{n,k} = \dfrac{(n+k-1)!}{k! \times (n-1)!} = \dfrac{(4+3-1)!}{3! \times (4-1)!} \\\\\overline{C}_{n,k} = \dfrac{6!}{3!. 3!} = 20[/tex]

Thus, the number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

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Answer:D V=2(r)(h)

Step-by-step explanation:

because al the other answers are incorrect

Answer:

d

Step-by-step explanation:

I got it right on the test

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

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Answer:

Step-by-step explanation:

c

Answer:

im not 100% sure but i think its 24lbs of grass seed

Step-by-step explanation:

6 devided by 399 squared=0.0000376882

0.0000376882 x 6384=0.24060150375

0.24060150375 x 100=

24 lbs to cover a area of 6384 square feet

The linear equation that shows the total number of square yards refinished after x weekdays is given by:

y = 10 + 8x.

A linear function is modeled by:

y = mx + b

In which:

In this problem:

Thus, the equation is given by:

y = 10 + 8x.

More can be learned about linear equations at https://brainly.com/question/24808124

Answer:

Step-by-step explanation:

To solve for n, isolate it on one side of the equation.

First, you have to subtract by 2 from both sides.

[tex]\Longrightarrow: \sf{3n+2-2=8-2}[/tex]

Solve.

Subtract the numbers from left to right.

[tex]\sf{8-2=6}[/tex]

Rewrite the problem.

⇒ 3n=6

Divide by 3 from both sides.

→ 3n/3=6/3

Solve.

Divide the numbers from left to right.

→ 6/3=2

[tex]\Longrightarrow: \boxed{\sf{n=2}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

n = 2    or....    n is 2

Step-by-step explanation:

When simplifying to find n, we do something to one side, but it also must be done to the other side. First, to get n alone, we would subtract 2. When doing this, we do it for both sides:

3n + 2 = 8

   -2       -2

3n = 6

Now, we divide n by 3 becuase right now it says 3 times n. We again do the same for both sides:

3n = 6

/3    /3

n = 2

So the answer is n = 2

n is 2.

Answer:

the remNING MAS IS 345

Step-by-step explanation:

I DID THIS BEFORE

Answer:

x is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the question we're given with an equation that is 5(x - 4) + 12 = 17 and we are asked to find the value of x .

Solution : -

[tex] \longmapsto \: 5(x - 4) + 12 = 17[/tex]

Step 1 : Solving parenthesis :

[tex] \longmapsto \:5x - 20 + 12 = 17[/tex]

Step 2 : Adding 20 on both sides :

[tex] \longmapsto \:5x - \cancel{20 }+ 12 + \cancel{20 }= 17 + 20[/tex]

[tex] \longmapsto \:5x + 12 = 37[/tex]

Step 3 : Subtracting 12 from both sides :

[tex] \ \longmapsto \: \:5x + \cancel{ 12} - \cancel{12} = 37 - 12[/tex]

[tex] \longmapsto \:5x = 25[/tex]

Step 3 : Dividing by 5 on both sides :

[tex] \longmapsto \: \frac{ \cancel{5}x}{ \cancel{5} } = \cancel\frac{25}{5} [/tex]

[tex] \longmapsto \: \red{ \boxed{\bold{x = 5}}}[/tex]

Verifying :

We are verifying our answer by substituting value of x in Given Equation :

Therefore , our value for x is correct .

Answer:

Its c!

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

173 degrees

Step-by-step explanation:

we know AED + AEB + BEC + CED = 360

AEB = 112

to find BEC, we have B + BCE + BEC = 180 because they form a triangle. so BEC = 180 - B - BCE = 180 - 73 - 79 = 28

to find CED, follow the same steps as BEC: 180 - 37 - 96 = 47

now AED = 360 - AEB - BEC - CED = 360 - 112 -  28 - 47 = 173