evaluate x³ for x=2.

Step-by-step explanation:

Sum means adding of numbers

Product means multiplying the numbers

Difference means minus two numbers

First number is 2 and other number is 9.

Sum of 2 and 9 = 2+9 = 11

Product of 2 and 9 = 2×9 = 18

Difference between 2 and 9 = 9-2 = 7

Hence, this is the required solution.

Answer: It is false, the diameter is not 16 m.

Step-by-step explanation:

P 4m are 8 m are 32 m away. The diameter= 32 m.

(I hope its rights!!!)

Answer:

The first one is the only function

Step-by-step explanation:

You cannot have points on the same y gridline

If it is a function is has to pass the pencil test

Answer:

[tex]\boxed{Graph A.}[/tex]

Step-by-step explanation:

Hey there!

Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.

Hope this helps :)

Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

Answer:

(p^2) + 3p - 18

Step-by-step explanation:

Have a nice day!

Answer:

2p+3

Step-by-step explanation:

(p+6)(p-3)

you have to open the brackets i.e

p+p+6-3

add p+p and you get 2p then you  subtract positive 6 from 3 and you get 3

so your answer will be 2p+3

Answer:

Step-by-step explanation:

Problem 14: Mean 5.5, Range: 5.8

Problem 15: question #1 4, mode: 63

Probelm 16: Median 63, Range:  8.3

Answer:

14: Mean is 5.5 Hours

Range is 7.9 Hours

15: 4 Numbers

Mode is 6.3

16: Median is 6.3

Range is 8.3

Step-by-step explanation:

(I'll edit in the explanations momentarily)

Answer:

(0, 3)

Step-by-step explanation:

First, find the slope using rise/run (y2 - y1) / (x2 - x1)

Plug in the points:

(6 - 5) / (3 - 2)

1/1 = 1

Now, we can plug in the slope and a point into the equation y = mx + b to find b (y-intercept)

y = 1x + b

5 = (1)(2) + b

5 = 2 + b

3 = b

= (0, 3)

Answer:

Yes, because the P(A)P(B) = P(A and B)

Step-by-step explanation:

Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;

P(A and) = P(A)P(B)

Given: P(A) = watching a movie = 62% = 0.62

P(B) = going out to dinner = 46% = 0.46

The probability of watching a movie and going out to dinner will be

P(A and B)

P(A and B) = 0.62×0.46

P(A and B) = 0.2852

P(A and B) = 28.52%

Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.

Answer:

90

Step-by-step explanation:

Hey there!

Well 90.000 to the nearest tenth is just 90 because there is no decimal places to round.

Hope this helps :)

Answer:

90

Step-by-step explanation:

90 has 0 ones so 90 is just 90, but rounded...

Answer:

C

Step-by-step explanation:

Okay, here we have a reduction in the number of students by 20% from 2010 to 2011.

In 2011, we had k students, so we want to calculate the number of students we had in 2010.

Let the number of students present in 2010 be x

So mathematically;

x - 20% of x = k

x - 0.2(x) = k

0.8x = k

x = k/0.8

x = k * 1/0.8

x = k * 1.25

x = 1.25k

[tex]g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343[/tex]

Answer:

B. There are two distinct rational solutions

Step-by-step explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

B.

Step-by-step explanation:

x^2 - 1 = 24

x^2 = 25

Taking the square root of both sides:

x = -5, 5.

2 distinct rational solutions.

Answer/Step-by-step explanation:

[tex] 2(3x - 1) = 2*3x 2*-1 = 6x - 2 [/tex]

[tex] (x*y)2 = (xy)2 = 2xy [/tex]

[tex] 2(2x - 3) = 2*2x 2*-3 = 4x - 6 [/tex]

[tex] 3x + 4x + 2 = (3x + 4x) + 2 = 7x + 2 [/tex]

[tex] 7x - 7 = 7(x) - 7(1) = 7(x - 1) [/tex]

[tex] x(6 + 9) = x(15) = 15x [/tex]

[tex] 2 + 9x + 1 + 3x = (9x + 3x) + (2 + 1) = 12x + 3 [/tex]

[tex] 4(x + 2) + x = 4x + 8 + x = 4x + x + 8 = 5x + 8 [/tex]

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x^4+xy^3+x^3+y^3\\\\=x^3*x+x*y^3+x^3+y^3\\\\=x(x^3+y^3)+x^3+y^3\\\\\boxed{=(x+1)(x^3+y^3)}\\[/tex]

Thank you

Answer:

The anwser is C) C < 4

......... .

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Correlation Coefficient (r) = 0.989

alph=0.05

Number of observations (n) = 8

determine if there is a linear correlation between chest size and weight.

Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.

What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?

To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.

r^2 = square of the correlation Coefficient

r^2 = 0.989^2 = 0.978121

Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.

The vertical lines on each side of the x mean it is the absolute value of x.

Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.

The answer is B.

There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.

Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

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Answer:

Option (B)

Step-by-step explanation:

1). Given function is,

  [tex]f(x)=\frac{1}{x-1}+3[/tex]

  It the given function 'f' is transformed by a translation of 2 units to the right, the new function will be,

h(x) = f(x - 2)

h(x) = [tex]\frac{1}{(x-2)-1}+3[/tex]

      = [tex]\frac{1}{x-3}+3[/tex]

Further the new function is translated by 6 units down,

g(x) = h(x) - 6

g(x) = [tex]\frac{1}{x-3}+3-6[/tex]

      = [tex]\frac{1}{x-3}-3[/tex]

Since, transformed function 'g' passes through a point (x, -2),

g(x) = [tex]\frac{1}{x-3}-3[/tex]

-2 = [tex]\frac{1}{x-3}-3[/tex]  

3 - 2 = [tex]\frac{1}{x-3}[/tex]

x - 3 = 1

x = 4

Therefore, Option (B) will be the answer.

Answer:

....the answer is 682.5

Answer:

The answer is 702. Hope it helped! :D

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x = 6

y = 8

z = 3

3z + (2y - 4x)

= (3)3 + (2[8] - 4[6])

= 9 + (16 - 16)

= 9 + 0

= 9

Hope this helps! Tell me if am wrong about the answer, please!

Answer:

C

Step-by-step explanation:

you multiply each dot by the fraction of hours it is under. you add everything up and you should get 66/8 which is equivalent to 8 and 1/4

Answer:

Is c

Step-by-step explanation:

For plato Users

Answer:

slope is 5

Step-by-step explanation:

y = 5x

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 5 and the y intercept is 0

Hey there! I'm happy to help!

PART A

Let's look at our two equations.

y=3x-5

y=6x-8

We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.

We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.

6x-8=3x-5

We add 8 to both sides.

6x=3x+3

We subtract 3x from both sides.

3x=3

We divide both sides by 3.

x=1

We can plug this x-value into either of our equations to figure out what y is.

y=6(1)-8

y=6-8

y=-2

Therefore, our solution is x=1 and y= -2.

PART B

When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).

Have a wonderful day! :D

Answer:

see below

Step-by-step explanation:

y = 3x − 5

y = 6x − 8

I will use substitution by substituting for y in the first equation

y = 3x − 5

6x -8 = 3x-5

Subtract 3x from each side

6x-3x -8 = 3x-5-3x

3x-8 = -5

Add 8 to each side

3x-8+8 = -5+8

3x =3

Divide by 3

3x/3= 3/3

x =1

Now find y

y = 3x − 5

  = 3(1) -5

  =3-5

  = -2

( 1,-2)

The two lines will intersect at ( 1,-2)

The solution to the two equations is where the lines intersect.

Answer:

m = 30 + 15

Step-by-step explanation:

The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:

m = 30 + 15

m = 45 miles

Answer:

113 meters

Step-by-step explanation:

113.47 rounded to the nearest meter is 113.

The distance of frisbee to the nearest meter will be equal to 113 meters.

An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600.

A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.

The distance to the nearest meter will be given as below:-

113.47 meters. = 113 meters.

Therefore, the distance of the frisbee to the nearest meter will be equal to 113 meters.                                                                                                        

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Answer:

Local Maximum Approx.: (1,8.08)

Local Minima Approx.: (-2,-7.67) and (3,2.75)

Step-by-step explanation:

Local maximums and minima there the highest and lowest points, respectively, on a graph in a specific region. (This is different from absolute maximum and minimum, which are the highest and lowest points overall.)

These are pretty clear to see on a curve, as they are the "turns" or the points where the curve switches direction from up to down or down to up.

On your graph, we have two local minima and one local maximum. The local minima are at x= -2 and x=3. The local maximum is at x=8. Because of the way the graph is, we have to approximate the y-values of each point.

The answer option which best describes this is the third option, so that is your answer.

Answer: 0.26

Step-by-step explanation:

As per given , we have

P(green tail) = 0.36

P(red fins) = 0.59

P(both a green tail and red fins ) = 0.21

Now, P(Neither red fin nor green tail )= 1 - P(either red fin or green tail )

[P(neither A nor B)= 1- P(either A or B)]

= 1-(P(green tail) +P(red fins)+P(both a green tail and red fins ))

[P(A or B)= P(A)+P(B)-P(A and B)]

= 1- (0.36+0.59-0.21)

= 1-(0.74)

= 0.26

Hence, the probability that the selected fish will not have a red fin or a green tail = 0.26

Answer:

x=0

Step-by-step explanation:

in the quadratic formula to only have one solution

[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]

so we have

[tex]ax^2+b=c[/tex]

[tex]ax^2+(b-c)=0[/tex]

if we insert in the formula we have

[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]

[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0

[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]

Answer:

After 4 months Xian will have 104 stamps,

But after three months Kai will also have 104 stamps

Step-by-step explanation: