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Answer:

h = 3, k = 64

Step-by-step explanation:

Given

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

In the form

y = mx + c ( m is the slope and c the y- intercept )

Then

h = 3

On the [tex]log_{2}[/tex] axis [tex]log_{2}[/tex] y = 0 then

0 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k + 3 ( subtract 3 from both sides )

- 3 = - [tex]\frac{1}{2}[/tex] [tex]log_{2}[/tex] k ( divide both sides by - [tex]\frac{1}{2}[/tex] )

6 = [tex]log_{2}[/tex] k , then

k = [tex]2^{6}[/tex] = 64

Answer:

A

Step-by-step explanation:

Just did it

Answer:

c

Step-by-step explanation:

Answer:

(0,-6)

Step-by-step explanation:

9x + 3y = -18

Solve for y to get equation in slope intercept form

( y = mx + b )

9x + 3y = -18

Subtract 9x from both sides

9x - 9x + 3y = -18 - 9x

3y = -9x - 18

Divide both sides by 3

3y/3 = y

-9x - 18 / 3 = -3x - 6

We're left with y = -3x - 6

The equation is now in y intercept form

y = mx + b where b = y intercept

-6 takes the spot of b therefore the y intercept would be at (0,-6)

Answer:

The 2nd one

Step-by-step explanation:

Did the test

Answer:

11

Step-by-step explanation:

(2x -9) + (x + 2) = 23

2x + x -9 + 2 = 23

3x - 7 = 23

3x = 23 + 7

x = 10

RS = 2x - 9

RS = (2 * 10) - 9

RS = 20 - 9

RS = 11

Answer:

condition

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).

Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.

Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).

Answer:

x=12

Step-by-step explanation:

Line that's perpendicular to y=49 should be a vertical line of the form x=a

Now the line passes through (12,35) so the equation of the line is,

x=12

Answered by GAUTHMATH

Answer:

a round figure that has no corners or vertices.

Step-by-step explanation:

Answer:

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.

Step-by-step explanation:

Center of a Circle

The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal. This distance is called the radius of the circle.

Here, point P is the center of the circle.

center of the circle center point

Semicircle:

A semi-circle is half of a circle, formed by cutting a whole circle along a line segment passing through the center of the circle. This line segment is called the diameter of the circle.

Answer:

Step-by-step explanation:

First of all the first term is a1 and that's equal to -3

Every term is multiplied by 7

So the recursive formula is

an = 7*a_(n-1)

a2 = 7*a_(1 -1)

a2 = 7*-3

a2 = - 21

Now try a_4

a_4 = 7*a_3

a_3 = -147

a_4 = 7*(-147)

a_4 = -1029

Answer:

89 minutes

Step-by-step explanation:

Let

x = number of minutes

Total cost = fixed cost + variable cost

Total cost = $12.79

Fixed cost = $3

Variable cost = cost per minutes * number of minutes

= 0.11 * x

= 0.11x

Total cost = fixed cost + variable cost

12.79 = 3 + 0.11x

12.79 - 3 = 0.11x

9.79 = 0.11x

x = 9.79/0.11

x = 89

x = number of minutes = 89 minutes

7m + 12 = -4m + 78

7m + 4m = 78 - 12

11m = 66

m = 6

I hope you understand...

Mark me as brainliest...

Answer:

[tex]y= \frac{1}{2} x +6[/tex]

Step-by-step explanation:

[tex]x/2-y+6=0[/tex]

[tex]x/2 +6=y[/tex]

[tex]y= \frac{1}{2} x +6[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

(0,-3)

Step-by-step explanation:

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

Answer:

b. remains unchanged

Step-by-step explanation:

Formula for standard error of mean is;

SE = σ/√n

From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.

Now, we are given that;

random sample; n = 100

Standard deviation; σ = 1

Thus;

SE = 1/√100

SE = 1/10

Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.

Thus, SE remains unchanged.

Answer:

Step-by-step explanation:

volume =triangular area× length

=1/2×6×3×14

=126 ft³

Answer:

About 126 ft cubed

Answer:

x-2

The choose (1)

Step-by-step explanation:

(x³-3x²+3x-2)÷(x²-x+1)

(x-2)(x²-x+1) ÷ (x²-x+1)

Delete (x²-x+1)

so = (x-2)

Given:

Consider the given function is:

[tex]f(x)=5^x+1[/tex]

To find:

The average rate of change between x = 0 and x = 4.

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

We have,

[tex]f(x)=5^x+1[/tex]

At [tex]x=0[/tex],

[tex]f(0)=5^0+1[/tex]

[tex]f(0)=1+1[/tex]

[tex]f(0)=2[/tex]

At [tex]x=0[/tex],

[tex]f(4)=5^4+1[/tex]

[tex]f(4)=625+1[/tex]

[tex]f(4)=626[/tex]

Now, the average rate of change between x = 0 and x = 4 is:

[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]

[tex]m=\dfrac{626-2}{4}[/tex]

[tex]m=\dfrac{624}{4}[/tex]

[tex]m=156[/tex]

Hence, the average rate of change between x = 0 and x = 4 is 156.

Answer:

-13 is the answer I think so but wait for others also because my could be wrong

Answer:

D

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Answer:

The Answer is         129

Step-by-step explanation:

We substitute x + 3 for X in F(x):

f(g(x)) = (x + 3)^3 +4

f(g(2)) = (2 + 3)^3 + 4

=125 + 4

=129

Answer:

b must be because the therom is aas so

Answer:

B is answer

Step-by-step explanation:

just did it

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

Answer:

Step-by-step explanation:

Population size: 17

Median: 30

Minimum: 12

Maximum: 49

First quartile: 21

Third quartile: 35

Interquartile Range: 14

Outliers: none

Answer: 40 seconds per worksheet

Step-by-step explanation:

From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.

Based on this, his unit rate of completing worksheets will be given as:

= 8 minutes / 12

= 480 seconds / 12

= 40 seconds per worksheet

Note 1 minute = 60 seconds

8 minutes = 8 × 60 = 480 seconds

Answer:

5÷35 = 1/7× 100

Step-by-step explanation:

P(E)= n(E)÷ n(s)

Answer:

17%

Step-by-step explanation:

Add all of the students up and then form a ratio:

30 students in total; 5 seniors/30 students

5/30 = 1/6 = 16.67%

(I think that's the answer, hope it helps)

Answer:

x > 23/5

Step-by-step explanation:

2x+ 3(x+2)>17

2x + 3x + 6 >17

5x >23

x > 23/5

Given:

Axis of symmetry of a parabola is [tex]x=4[/tex].

A point on the parabola is (0,2).

To find:

The another point on the parabola.

Solution:

The point (0,2) lies on the parabola and the axis of symmetry of a parabola is [tex]x=4[/tex].

It means, the another point on the parabola is the mirror image of (0,2) across the line [tex]x=4[/tex] because the parabola is symmetric about the axis of symmetry.

If the point is reflected across the line [tex]x=4[/tex], then

[tex](x,y)\to (-(x-4)+4,y)[/tex]

[tex](x,y)\to (-x+4+4,y)[/tex]

[tex](x,y)\to (-x+8,y)[/tex]

Using this rule, we get

[tex](0,2)\to (-0+8,2)[/tex]

[tex](0,2)\to (8,2)[/tex]

Therefore, the other point on the parabola is (8,2).

Given:

The sine function is:

[tex]y=\dfrac{1}{3}\sin (2x)[/tex]

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

[tex]y=A\sin(Bx+C)+D[/tex]

Then, the frequency of the sine function is:

[tex]f=\dfrac{B}{2\pi}[/tex]

We have,

[tex]y=\dfrac{1}{3}\sin (2x)[/tex]

Here, [tex]B=2[/tex]. So, the frequency of the given function is:

[tex]f=\dfrac{2}{2\pi}[/tex]

[tex]f=\dfrac{1}{\pi}[/tex]

Therefore, the correct option is D.