1) Circle the tables that represent y as a function of x.хХ-31X-10у-5515-3y3608-2-4- 1-2-2-5- 1290у-1-1- 1-11-2-52-5

Answer:

Hello lovely. Assume that the attached graph represents your situation, with the red line representing the zip line and the blue dot representing the tree. The tree is at point (6, 2). You will need to choose a reference point to calculate the distance between the tree and the zip line. We'll use the point  (0, 6), or the y intercept

To calculate the distance between two points, we use the formula d=√((x2 – x1)² + (y2 – y1)²).

Substitute

d=√((0 – 6)² + (6 – 2)²).

Simplify

d=√((-6)² + (4)²).

d=√(36 + 16).

d = √52

The distance is approximately equal to 7.2 feet

translating words into algebraic symbols ​

a number x = x

decreased by seventy = -7

y= x-70

___________________

Answer

x-70

We have a right triangle and two sides we will use the Pythagorean theorem in order to find the missing side

a=7 in

b= 4 in

c=JK

we substitute the values

sharon spent 23/20 hour doing her homework than reading.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Sharon spent reading the book = [tex]1 \frac{1}{4}[/tex] = 5/4 hours

                                                     = 25/20 hours

Sharon spend doing homework = [tex]2 \frac{2}{5}[/tex] = 12/5 hours

                                                      = 48/20 hours

So, the difference between both activities

= 48/20- 25/20

= 23/20

Hence, sharon spent 23/20 hour doing her homework than reading.

Learn more about fraction here:

https://brainly.com/question/10354322

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Answer:

i can't read this very well

Answer:

51

Step-by-step explanation:

so we can use the variable x for minutes & y for water level. (4,17) is what we start with. its asking after 12 minutes what is the water level, 4 x 3 is 12 so we would multiply 17 x 3 as well which is 51.

Line t, segments AC, BC and BD are colinear, that is, all of them are in the same line. Then, the true statements are

A, B, and C

Write the equation of a line in point slope form that goes through the points (7,-5) and (3,8)

step 1

Find the slope

m=(8+5)/(3-7)

m=13/-4

m=-13/4

step 2

write the equation in point slope form

so

y-y1=m(x-x1)

we take the point (7,-5)

substitute

If you take the point (3,8)

we have

In this problem, we have a population with a normal distribution with:

• mean μ = 85,

• standard deviation σ = 24.

We must compute the z-score for different samples.

The standard deviation of a sample with mean M and size n is:

The z-score of the sample is given by:

Using these formulas, we compute the z-score of each sample:

(a) M = 91, n = 4

(b) M = 91, n = 9

(c) M = 91, n = 16

(d) M = 91, n = 36

a. z = 0.5

b. z = 0.75

c. z = 1

d. z = 1.5

Solution

Now

square feet of insulation Carlos need is

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

The table shows the outcome of car accidents by whether or not the driver wearing a seat belt.

Let's call:

A = The event of the driver wearing a seat belt in a car accident.

B = The event of the driver dying in a car accident

The conditional probability is calculated as follows:

The conditional probability stated in the formula is that for the driver wearing a seat belt knowing he did not survive the car accident.

The numerator of the formula is the probability of both events occurring, i.e., the driver wore a seat belt and died. The denominator is the simple probability that the driver died in a car accident.

From the table, we can intersect the first column and the second row to find the number of outcomes where both events occurred. The probability of A ∩ B is:

The probability of B is:

The required probability is:

Simplifying the common denominators:

Problem

Find the marked price and the rate of discount for a camcorder whose price has been reduced by 95$ and whose sale price is 255$.​

Solution

For this case we can find the real price with this operation:

95+265= 360

And the rate of discount can be founded as:

(95/265)*100= 35.85%

Rounded to the nearest percent would be 36%

We will find the value of the 20th term of the sequence 7, 3, -1, and -5.

We have the following sequence:

If we have an arithmetic sequence here, we need to find the common difference for this sequence, and we can do that by finding the difference between the second term and the first term, the difference between the third term and the second term, and so on. If we obtain the same value for the common difference, we have an arithmetic sequence here.

Then we have:

Then the common difference in this arithmetic sequence is d = -4.

We know that the explicit formula for an arithmetic sequence is:

For this case, we have that d = -4, and that the first term, a1 = 7. Then we have the formula for the arithmetic sequence:

Notice that we can expand this expression as follows:

Then to find the 20th term of the sequence, we have:

Therefore, in summary, we have that the value for the 20th term of the sequence 7, 3, -1, and -5 is -69.

,

Since the sides are the same, this problem is unsolvable

Answer:

y = -3x + 12

Explanation:

The equation of a line with slope m that passes through the point (x1, y1) can be calculated as:

So, replacing m by -3, and (x1, y1) by (1, 9), we get:

Finally, solving for y, we get:

Therefore, the answer is:

y = -3x + 12

The circumference of a circle can be found through the formula:

clear the equation for the radius

find the radius of the circumference

find the area of the circle using the formula

ANSWER:

a. 9.9, 1.8

b. 9.9, 0.2882

c. 0.5239

d. 0.6368

e. No

f.

Q1 = 9.7069

Q3 = 10.0931

IQR = 0.3862

STEP-BY-STEP EXPLANATION:

a.

X ~ N (9.9, 1.8)

b.

x ~ N (9.9, 1.8/√39)

x ~ N (9.9, 0.2882)

c.

P(X > 9.8)

We calculate the probability as follows:

d.

p (x > 9.8)

We calculate the probability as follows:

e.

No, you don't need to make the assumption

f.

Q1 = 0.25

In this case the value of z = 0.25, so we look for the closest value in the normal table, like this:

Thanks to this, we make the following equation:

Q3 = 0.75

In this case the value of z = 0.75, so we look for the closest value in the normal table, like this:

Therefore:

Therefore, the interquartile range would be:

The given data is ratio from the the total are of circle is 1 .

let the shaded area is x then:

All area is equal to one.

So area of shaded region is

Expand and collect like terms:

Bring the exponents having same base together:

Recall that an arithmetic sequence is a sequence in which the next term is obtained by adding a constant term to the previous one. Let us consider a1 = -5x-1 as the first term and let d be the constant term that is added to get the next term of the sequence. Using this, we get that

so if we replace the values, we get that

so, by adding 5x+1 on both sides, we get

To check if this value of d is correct, lets add d to a2. We should get a3.

Note that

so the value of d is indeed correct.

Now, note the following

This suggest the following formula

the question is asking for the 11th term of the sequence, that is, to replace the value of n=11 in this equation, so we get

so the 11th term of the sequence is -35x+49

Answer:

1. Cube A, because it's volume is greater than the volume of cube B

Explanation:

Cube A

Volume = 125 cubic inches

Therefore:

Cube B

The edge length, s = 4.8 inches.

We see that Cube A is the larger group because it's volume is greater than the volume of cube B.

Answer:

Explanation:

Given:

0.85,4/5, 3/4

To easily compare the given numbers, we simplify each number first and plot them on the number line:

Therefore, the two true inequalities are:

and

The number of fives is eight more than five times the number of tens.

Therefore,

where F represents the number of fives and T the number of tens

Solution:

Given:

To get the equation of the circle, the center of the circle and the radius are needed.

The center of the circle is the midpoint of the endpoints.

Using the midpoint formula;

Thus,

Hence, the coordinates of the center of the circle is (-6,2)

The length of the diameter can be gotten using the distance between two points formula;

The diameter is twice the radius. Hence, the radius is;

Hence, the equation of the circle with center (-6,2)

Using the standard form of the equation of a circle;

Hence, the equation is;

Therefore, the equation of the circle is;

Answer:

[tex]x^3-4x^2+8x-8[/tex]

Step-by-step explanation:

[tex]\displaystyle\\(x-(1-\sqrt{3} i)(x-(1+\sqrt{3} i)(x-2)=\\\\(x^2-(1-\sqrt{3} i)x-(1+\sqrt{3} i)x+(1-\sqrt{3} i)(1+\sqrt{3} i))(x-2)=\\\\(x^2-x+\sqrt{3} i-x-\sqrt{3} i+1-(\sqrt{3} i)^2)(x-2)=\\\\(x^2-2x-3\cdot(-1))(x-2)=\\\\(x^2-2x+4)(x-2)=\\\\x^3-2x^2+4x-2x^2+4x-8=\\\\x^3-4x^2+8x-8[/tex]

Solution

The solution is the point of intersection.

Therefore, the answer is

We will have the following:

So, the number of shelves you need is 3.

Thus, the shelves you can buy are 0.3 m long each.

Answer:

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Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (-9 - 3)/(5 - 5)

slope = -12/0

Since the slope calculation involves division by zero, this line has undefined slope. The two points have the same x-coordinate, so the line is vertical. The slope of a vertical line is undefined.

Answer:

Annie is right, beause the coordinates of the points A'B'C' are 2/3 of the coodinates of the points ABC

and the size of the triangle A'B'C' is 2/3 of the size of the triangle ABC

for example:

Side AC lenght is 6 units and A'C' is 4

To go from 6 to 4, the factor must be 2/3

Answer:

Explanation:

Given the data:

19, 2, 23, 25, 20, 2, 4, 8, 16, 11, 10, 12, 8, 2, 18

Step 1: Write in an order (we are writing in an ascending order here)

2, 2, 2, 4, 8, 8, 10, 11, 16, 18, 19, 20, 23, 25,