Witch one is a function?

Explanation:

Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.

The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.

9514 1404 393

Answer:

  a) x = -3

  b) y = (28/27)x -27

Step-by-step explanation:

a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...

  x = constant

For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...

  x = -3

__

b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...

  m = -1/(-27/28) = 28/27

Using the point-slope equation for a line, we can model Ace Rd as ...

  y -y1 = m(x -x1)

  y -1 = (28/27)(x -27)

  y = (28/27)x -27

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Answer:

v=6

Step-by-step explanation:

Just plug in the numbers u already know.

v²=8²+2*(-7)*2

V²=64-28

v²=36

v=√36

v=6

Answer:

C=9

Step-by-step explanation:

A = πr^2

A = π 9

9

Answer:

6 tables

Step-by-step explanation:

8 multiply by 6 gives you 48

Answer:

40

Step-by-step explanation:

there are 4 quarters so if one quarter is 10 then 4 quarters are 40

10 x 4 = 40

Exact Form:

5/7

Decimal Form:

0.7142

Answer:

[tex] y = \frac{w - x^2}{-2z} [/tex]

Step-by-step explanation:

Given:

w = x² - 2yz

Required:

Solve for y

Solution:

[tex] w = x^2 - 2yz [/tex]

Subtract x^2 from not sides

[tex] w - x^2 = - 2yz [/tex]

Divide not sides by -2z

[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]

[tex] \frac{w - x^2}{-2z} = y [/tex]

[tex] y = \frac{w - x^2}{-2z} [/tex]

Answer:

The value of (2x+y) is 3.

Step-by-step explanation:

First, we have to find the values of x and y.

We have that:

x + 2y = 9, which also means that:

x = 9 - 2y

Replacing into the second equation, to find y:

[tex]3x - y = -8[/tex]

[tex]3(9 - 2y) - y = -8[/tex]

[tex]27 - 6y - y = -8[/tex]

[tex]7y = 35[/tex]

[tex]y = \frac{35}{7}[/tex]

[tex]y = 5[/tex]

Finding x:

[tex]x = 9 - 2y = 9 - 10 = -1[/tex]

What is the value of (2x+y)?

2(-1) + 5 = -2 + 5 = 3

The value of (2x+y) is 3.

Answer:

itas niot hard. its 10+10+7+7. the 9 is meaning if it was a striaghjt line, and that is the length of the straight line.

Step-by-step explanation:

Answer:

D you divide

Step-by-step explanation:

The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that  there are 52 blocks in the groups below. Each group is the same size.

Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.

That is;

52 / 4 = 13

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

x=9

Step-by-step explanation:

-2x+6=x-3

-1x+6=-3

-1x=-9

divide both sides by -1

x=9

hope this helps

Answer:

Step-by-step explanation:

Given system:

Substitute y and solve for x:

Find y:

Solution is:

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

Answer:

1584

Step-by-step explanation:

Distribution of cards in a deck:

Total number of cards = 52

Total number of cards drawn = 5

Sampling without replacement :

Number of Aces = 4

Number of kings = 4

Card different from Aces and kings = total cards - (4 + 4) ;

52 - 8 = 44 cards

(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)

Using combination :

4C2 * 4C2 * 44C1

Using calculator :

6 * 6 * 44

= 1584

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10      and   q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then   p = 12 / 30  = 0,4         q =  1 - 0,4    q  =  0,6

And  p*n  =  0,4 * 30  = 12            12 > 10

And  q*n  = 0,6 * 30   = 18            18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.

No, the sample size is not less than 10% of the population size,

Given:

The total number of council member are 200.

The randomly selected members are 30 .

Calculate the ratio of randomly selected members and total number of council member.

[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]

Thus, No, the sample size is not less than 10% of the population size.

Learn more about z-interval here:

https://brainly.com/question/7204089

Answer:

The equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Step-by-step explanation:

During last years's charity walk, she raised $45.50.

During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:

[tex]n = \frac{7}{10} \times 45.50[/tex]

Answer: 45.50=0.7n

Step-by-step explanation:

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

Answer:

[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]

Step-by-step explanation:

An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.

Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.

Answer:

x = 4

Step-by-step explanation:

When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]

If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

Answer:

1/2+1/2 + 0

= 1

Step-by-step explanation:

sin30° = 1/2

cos 60° = 1/2

tan 0° = 0

Answer:

Option C) Infinitely many solutions is correct option.

Step-by-step explanation:

We need to solve the equation [tex]5x - 7x + 6 = -2(x - 3)[/tex] and find value of x

The equation can be solved using DMAS rule.

Solving:

[tex]5x - 7x + 6 = -2(x - 3)[/tex]

Multiply -2 with terms inside the bracket

[tex]5x - 7x + 6 = -2x +6[/tex]

Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.

[tex]5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0[/tex]

Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.

So, Option C) Infinitely many solutions is correct option.

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

7

l

0

−

8

=

20

;

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

Answer:

36 degrees

Step-by-step explanation:

Angles in a triangle add up to 180.

180-62-62=36

36 degrees

Step-by-step explanation:

Answer:

No, he doesn't have enough

Step-by-step explanation:

In eights, three quarters of a bottle is equal to 6/8.

Since 5/8 is smaller than 6/8, Craig won't have enough glue.

So, the answer is no.

Answer:

NO

Step-by-step explanation:

3/4 converted to eighths is 6/8. and 6/8 is greater than 5/8

Answer:

The equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the equation of a line

y = 2x + 4

comparing with the slope-intercept form of the line equation

The slope of the line AB is m = 2

We know that the parallel lines have the same slope.

Thus, the slope of the new line is also 2.

now we have,

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (x₁, y₁) =  (3, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

y - (-2) = 2(x - 3)

y + 2 = 2x - 6

subtracting 2 from both sides

y + 2 - 2 = 2x - 6 - 2

y = 2x- 8

Therefore, the equation of a parallel line in the slope-Intercept form that contains the point (3,-2) is: