The scatterplot shows the average miles per gallon
versus the age, in years, of cars at a used car dealership.
Fuel Efficiency
Miles per Gallon
35
30
25
20
15
10
5
●
0 1 2 3 4 5 6 7 8 9 10
Age (Years)
Select the most likely value of r for this data set.
O-0.78
O-0.35
O 0.15
O 0.88

The exact value of indicated trigonometric function, sin θ is -0.92

The sine relation is the ratio of the height to the hypotenuse. Meanwhile, the cosine relation is the ratio of the base to the hypotenuse.

The relation of sine and cosine is given as follows:

[tex]\sin \theta=\pm\sqrt{1-\cos^2\theta}[/tex]

It is given that cos θ = (2/5)

So, the sine value can be obtained from the given value.

[tex]\sin \theta=\pm\sqrt{1-\cos^2\theta}\\=\pm\sqrt{1-(2/5)^2}\\=\pm\sqrt{21}/5\\ =-0.92[/tex]

So, the sine value for the given cosine value is - [tex]\sqrt{21}/5[/tex] or -0.92.

Note that we omitted the positive value because it is given that the tangent value is negative, so the angle lies in the fourth quadrant, where the sine value is also negative.

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Answer:

d

Step-by-step explanation:

Since the number of years must be non-negative, we can eliminate all the options except for d.

EXPLANATION

Given the exponential function:

45(1.085)^t

We have that 45=a is the initial value and 1.085 is the growth rate,

1.085 - 1 = 0.085* 100 = 8.5 % (This is the growth rate)

Let's compute the function with two values of t, as for instance, t=0 and t=1:

Now, the function in the form y = ae^kt will be as follows:

Substituting t by 1:

Dividing both sides by 45:

Applying ln to both sides:

Computing the argument:

The expression will be as follows:

As this is a growing function, the rates are positive.

The annual growth rate is 8.5% and It's was calculated above.

Now, we need to compute the continuous rate because It's given by the value of k:

k = 0.0816 --> Multiplying by 100 --> 0.0816 * 100 = 8.16%

The continuous growth rate is 8.16%

given the expression

since

then

ten the correct answer is

Option C

Answer:

The weight of 6th-grade students

Explanation:

We have variability if each value in the data is different.

When a vehicle travels at a constant rate for the same amount of time, the distance covered will be always the same. So, this situation doesn't yield data with variability.

In the same way, the length of a professional American football field and the moon cycle duration in a year are standard, they always have the same value so these situations don't yield data with variability.

Finally, each student of 6th grade has a different weight, so this is the situation that yields data with variability.

Therefore, the answer is:

The weight of 6th-grade students

Answer:

No

Step-by-step explanation:

5:9 and 3:12 do not divide with the same number

For example:

3:6 and 9:18 would be equivalent as dividing 9:18 by 3 would give 3:6

The area of the flagpole is:

This represents a perfect square, because it can be represented as below:

Therefore we can use the notable product, square of the difference to factor the expression:

Since the area of the flagpole is the product between it's length and width, then we know that the length and width are equal and are equivalent to:

Answer:

D. Negative

Step-by-step explanation:

The slope is negative because the line goes down from left to right. In other words, as x increases, y decreases.

A slope would be positive when the line goes up from left to right. In other words, as x increases, y increases.

A slope would be zero if the line is horizontal, so as x increases, y remains constant.

A slope would be undefined if the line is vertical. It is undefined because x remains constant while y changes. Lines are functions, which mean for every input there is exactly 1 output. If there are multiple y values for 1 x value, then this is not a function and therefore has an undefined slope.

Answer:

10/3

Step-by-step explanation:

[tex]1\frac{5}{6} = \frac{11}{6}\\ \\\ 1\frac{3}{6} = \frac{9}{6}[/tex]

11/6 + 9/6 = 10/3 =3.333333333

The of senior high school students who reported consuming alcohol  is mathematically given as

33.99% of

This is further explained below.

Absolute change is the straightforward difference between the indicator's two time periods.

Absolute change = final value - initial value

Absolute change =(33 *1-50.3)% points

=-17.2% points

Decrease absolute change $=17.2% point

- ve hours decreased

+ve shows increased

The percentage of high school seniors using alcohol decreased by 17.2%. point

Relative change expresses absolute change as the ax of the value in the initial period

[tex]$=\frac{\text { absolute change }}{\text { intial value }} \times 100$$=\frac{33.1-50.3}{50.3} \times 100$[/tex]

=-33.99 %

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Answer:

55.17

Step-by-step explanation:

[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]

First, let's solve for x in the inequality to find an interval, the options that are not included in the interval are not part of the solution set, we can do it by following these steps:

1. 3x-18> 12 , add 18 on both sides:

3x - 18 + 18 > 12 + 18

3x > 30

2. Divide both sides by 3:

3x/3 > 30/3

x > 10

So, to be a part of the solution, x must be greater than 10, then the interval that represents the solution is (10, ∞). From the given options, the only one that is not included in this interval is 8, because it is less than 10, then the answer is 8.

Question:

Solution:

x-intercept:

the x-intercept is when y= 0. Thus replacing this value into the given equation we get:

this is equivalent to:

this is equivalent to:

solving for x, we get:

so the point of x-interception is :

y-intercept:

the y-intercept is when x= 0. Thus replacing this value into the given equation we get:

this is equivalent to:

this is equivalent to:

solving for y, we get:

so the point of y-interception is :

We can conclude that the correct answer is:

x-intercept :

y-intercept is :

Step 1: We have two triangles with the following information:

• Upper Triangle has two known angles: 29 and 52 degrees

• Lower Triangle has one known angle: 33 degrees and two unknown: x and the third angle

Step 2: Let's find the third angle of the upper triangle, as folllows:

Third angle = 180 - 29 - 52

Third angle = 99

Step 3: Now we can see that the angle we just found on Step 2 is a congruent angle with the third angle from the lower triangle, which means they are equal.

Therefore, we know two angles of the lower triangle:

99 and 33

With these measurements, we can calculate x, as follows:

x = 180 - 99 - 33

x = 180 - 132

x = You can calculate the difference now

Answer:

B

Step-by-step explanation:

Answer: B. Symbolic - the "Queen" represents suppression and deceit.

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Okay, here we have this:

Considering the provided amount in miles per hour, we are going to convert it to kilometers per hour, so we obtain the following:

Finally we obtain that 55 miles per hour are equivalent to 88 kilometers per hour.

Solution

Secant is a line that touches a circle at two distinct points

See figure below

Chord is a straight line that touches two points on the the circumference of the circle

A

The correct option A. (d- e)², is the expression is missing from step 7.

For the given question.

The missing value of the 7th term is -

(√1 + d²)² + (√e² + 1)²  = (d- e)²

Such that the 8th terms becomes after squaring the both sides are;

(1 + d²) + (e² + 1)  = d² + e² - 2de.

Thus, the missing term in the step 7 is (d- e)².

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The rate of return of the 12 shares purchased by A is 72.72%.

Here, we are given that A purchases 12 shares at $22 per share.

So the cost price of 12 shares will be = 12 × 22

= 264

A sold these shares at $465.

The commission on sale = $9.

Thus, the total cost of the shares will be = 264 + 9

= $273

Hence, the total profit of A will be-

465 - 273

= 192

The rate of return is calculated as-

Rate of return = profit/cost price × 100

Thus, here-

Rate of return = 192/264 × 100

= 0.7272 × 100

= 72.72%

Thus, the rate of return on these 12 shares purchased by A is 72.72%.

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The probability that at least one will have a defect is 19%.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.

p = 4% = 0.04

q = Prob of a defective product is 0.03; hence, Prob(non-defective) = 1 - 0.04 = 0.96.

Prob(at least one flaw) is now equal to 1 - Prob (0 defects)

= 1 - 9C0 x 0.04^0 x 0.96^9

= 1 - 1 x 1 x 0.815

= 0.19 or 19%

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The breakevenpoint is the point at which costs and sales are equal to each other and therefore, the profit is zero.

The breakeven point in terms of number of units sold can be determined as follows;

In order to breakeven, the company will have to sell 44,000 units

2(l+b)=338 2(l+77)=338

154×l=338 l=338÷154=2ans

Answer:

The length is 92 yards.

Step-by-step explanation:

Just use the rectangle perimeter formula and substitute the given values.

P=2l+2w    Rectangle formula

We know the perimeter and the width already.

So, 338=2L+2(77)

Now solve:

338=2L+154

338-154=2L

184=2L

184/2=L

92=L  Answer

82 meters

Explanation

Step 1

Draw:

as the angle of the sun´s ligth is the same for both, we have two congruent trianges, then we can make a proportion

so

therefore, the heigth of the tower is

82 meters

The values of measure of angle y is found as 65 degrees.

For the given question;

Line k || Line l

(x + 5) + (3x + 15) = 180  (linear pair)

Solving;

4x + 20 = 180

4x = 160

x = 40

Put the value of x in angles (2x + 30)

2x + 30 = 2×40 + 30 = 110

Now,

2x + 30 = y + (x + 5)   (alternate interior angles)

Solving;

110 = y + 40 + 5

y = 110 - 45

y = 65 degrees.

Thus, the values of measure of angle y is found as 65 degrees.

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Answer:

Step-by-step explanation:

h = number of hours

s = number of shirts made

28h+2s=144

4h=s

h=4, s=16

(Didn't I already answer this? i think i might have.. lol)

Given the equation

you should have in mind that the expression x^2-9 and x^3-8 are "numbers" and that the product of two numbers is zero if and only if one of the numbers is zero. Then, by using this, you get the following auxiliary equations

which is equivalent to

so x=3 o x=-3.

Finally, for the other case

So

so the three possible solutions for the equation are x=3, x=-3 and x=2

1 Fristly you do M1=M2 as it is parallel

You get M2 then use it to find equation

note that y= -1.5

2 for second question you find coefficient of X and y you get M1 then find equation of given line easily.

#note equaction of straight line passing through two points is y-y1=m(x-x1)

Answer:

  12.  65:6 = 65/6 = 65 to 6

  13: 21:4 = 21/4 = 21 to 4

Step-by-step explanation:

You want the numerical values of the given ratios of blood donors written three ways.

In each case, replace the blood type with the corresponding number of donors. Ratios can be written using a colon, a division bar, or the word "to".

Using the numbers, this is ...

  (45 +20) : 6 = 65 : 6 = 65/6 = 65 to 6

Using the numbers, this is ...

  (21 +0) : 4 = 21 : 4 = 21/4 = 21 to 4