What will the function f(x) = x² look like translated 3
units right and 8 units down?

Answer:

6.75

Step-by-step explanation:

Add up all the numbers in the data set :

8 + 2 + 5 + 12 = 27

Divide 27 by the total numbers in the data set :

27 ÷ 4 = 6.75

Therefore, the mean if the data set is 6.75

Answer:

23 days

Step-by-step explanation:

We would first determine the volume of the tank. This gives information on the amount of water it can carry

WE divide the volume by the amount of water the town uses per day

Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³

n = 3.14

r == radius

radius = 1/2 x diameter

radius = 26/2 = 13 meters

volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3

How long the tank would last = 9198.106667 / 400 = 23 days

Answer:

10 if the other the numbers go up as well

Step-by-step explanation:

20/2= 10

Which would mean Kora could make 10 s'mores

Answer:

Step-by-step explanation:

radius = 9.3 units

Diameter = 2 × radius

= 2 × 9.3

= 18.6 units

Step-by-step explanation:

[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]

Given:

The two points are P (-1,0) and S (-1,7).

To find:

Whether the line PS is vertical, horizontal or neither.

Solution:

We have, two points P (-1,0) and S (-1,7).

Slope of the line PS is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]

[tex]m=\dfrac{7}{0}[/tex]

[tex]m=\infty[/tex]

We know that the slope of a vertical line is [tex]\infty[/tex].

Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.

Answer:

-2

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

The points (2, 1), (1, 0), (2, 1), (4, 2), and (8, 3) will be plotted on the graph accordingly. The x-coordinate represents the value from the domain, and the y-coordinate represents the corresponding value obtained by evaluating the equation

To plot the points on the graph for the equation y = log2x, we will substitute the given values from the domain (2, 1, 2, 4, 8) into the equation and calculate the corresponding y-values.

For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.

For x = 1, y = log2(1) = 0. The point (1, 0) represents this on the graph.

For x = 2, y = log2(2) = 1. The point (2, 1) represents this on the graph.

For x = 4, y = log2(4) = 2. The point (4, 2) represents this on the graph.

For x = 8, y = log2(8) = 3. The point (8, 3) represents this on the graph.

Now, we can plot these points on the graph. The x-axis will range from 0 to 10, and the y-axis will range from -1 to 4 to accommodate the points we have calculated.

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To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:

Option B and F.

Step-by-step explanation:

Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,

[tex]x = 0[/tex]

x - 3 = 0 ➡️ x = 3

x + 1 ➡️ x = -1

Plus, the polynomial has the zeroes -1, 0 and 3.

It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.

Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).

It is observed that the graphs in options B and F follow this path.

So the correct choices are option B and F.

Answer:

x = 7

Step-by-step explanation:

By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.

We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.

So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.

Have a nice day, fam.

Answer:

14

Step-by-step explanation:

The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:

7r+6=8r-8

Subtract both sides by 6

7r+6-6=8r-8-6

7r=8r-14

Subtract both sides by 8r

7r-8r=8r-14-8r

-r=-14

Divide both sides by -1

r=14

I hope this helps!

Answer:

(-3,-5) so yeeeeeeeeeeeeeeeeeeeee

Answer:

$ 56 .0000

Step-by-step explanation:

.......... ....... ....... ........ .....

Answer:

x=1, y=-5

Step-by-step explanation:

4(1)+2y=-6

2y=-10

y=-5

or

-3x-2(-5)=7

-3x=-3

x=1

Hope this helps!

Answer:

39 glasses

Step-by-step explanation:

use proportion:

g = # glasses punch

4/6 = g/26

cross-multiply

4g = 26(6)

4g = 156

g = 39

Answer

1/216000

Step-by-step explanation:

1/60 x 1/60 x 1/60

I hope this helps

The probability of guessing the combination correctly is extremely low, approximately 0.00046%.

Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.

Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:

60 x 60 x 60 = 216,000

As a result, the padlock has 216,000 probable combinations.

If you were to predict random numbers, your chances of getting the proper combination are as follows:

1 / 216,000

This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.

The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.

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The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.

For finding the equation of a line parallel to the given line and passing through the point (1, 1), we need to determine the slope of the given line and use it to construct the equation.

The given line has the equation 2x + 4y = 1. To determine its slope, we can rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation, we have:

4y = -2x + 1

y = (-2/4)x + (1/4)

y = (-1/2)x + 1/4

Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope of the given line is -1/2.

The line we're trying to find is parallel to this line, it will also have a slope of -1/2. We can now use the point-slope form of a line to construct the equation. The point-slope form is given by:

y - y₁ = m(x - x₁)where (x₁, y₁) represents the coordinates of the point through which the line passes, and m is the slope.

Substituting the values of (x₁, y₁) = (1, 1) and m = -1/2 into the point-slope form, we get:

y - 1 = (-1/2)(x - 1)

Expanding and simplifying the equation:

y - 1 = (-1/2)x + 1/2

y = (-1/2)x + 1/2 + 1

y = (-1/2)x + 3/2

The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.

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Answer:

The cost of labor per hour is $105.

The expression is 4x + 77 = 497

Step-by-step explanation:

The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.

4x + 77 = 497

4x + 77 - 77 = 497 -77

4x = 420

4x/4=420/4

x = 105

Answer:

Hi! Just for your safety do not click on the link in the other answer!

The answer to your questions is (5,0) Or another way to express it is 5.

Step-by-step explanation:

To find the x-intercept substitute 0 in for y and solve for x.

※※※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

Answer:

Step-by-step explanation:

AB = 2EB

AB=CD

Due to that

Cd = 2EB therefore

CD = 10

Answer:

136

Step-by-step explanation:

The formula  to find the surface area is 2(wl+hl+hw)

W= 3

H= 8

L= 4

wl= 3*4 = 12

hl= 8*4= 32

hw= 8*3 = 24

12+32+24= 68

68 * 2 = 136

Answer:

0.16

Step-by-step explanation:

rewrite 16 percent in the terms of per 100 or over 100.

16% = 16 over 100 or,

16% = 16/100

16 over 100 is the same as 16 divided by 100. So completeing the division we get:

16 ÷ 100 = 0.16

Thus, the answer is 0.16

hope this helps you :)

Answer:

B

Step-by-step explanation:

Answer:

(-5, -1)

Step-by-step explanation:

Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y