What is the slope of the line shown below?

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

  α = arctan(125/72) = 60.058°

  α ≈ 60°

The angle of elevation is about 60°.

Answer:

12/35

Step-by-step explanation:

The equation of the circle:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

[tex]x_0=-6;y_0=-3; R=12,so\\(x-(-6))^2+(y-(-3))^2=12^2\\(x+6)^2+(y+3)^2=144[/tex]

Answer: [tex](x+6)^2+(y+3)^2=144[/tex]

Answer: Mean = 9, Standard Deviation = 2.6

Answer:

The correct answer is:

Mean =9, standard deviation =2.6

Step-by-step explanation:

I got it right.

Answer:

a. 3 mintes = 180 seconds

Answer:

155ysec ; 23400z+ 8400 secs

Step-by-step explanation:

3y mins = 3* 60=180y sec

3y mins - 25y sec= 180y sec - 25y= 155y sec

155ysec

From B

50(3z-2)min = 50 * 60 (3z-2) sec

= 3000(3z-2)=9000z-6000

4 (z + 1) hours =4*3600(z+1) =14400z + 14400z

Adding both expression we have;

9000z+14400z-6000+14400=23400z+ 8400 secs

23400z+ 8400 secs

Answer:

Rate = (4C)cars/3(H)hrs

Step-by-step explanation:

Kelly can tune 4 cars in 3 hours.

The rate at which he dies work = 4/3

Thanks rate at which he tunes cars = 4/3 cars/hr

The expression of the above formula for C fraction of 4 cars and H fraction of 3 hours will be 4(C)/3(H)

Rate = (4C)cars/3(H)hrs

Answer:

yes

Step-by-step explanation:

A literal equation is an equation where variables represent known values.

Answer: -2 and 26

Step-by-step explanation:

-2 * 26 = -52

-2 + 26 = 24

Answer:

-2 and 26

Step-by-step explanation:

Hello!

[tex]\boxed{ \bf The~approximate~area~of~the~circle~is~D.~380~m^2}[/tex]

___________________________________________

We must use a certain formula to find the area of a circle.

A = πr²

Let's plug in the radius.

A = π × 11²

A = π × 121

A = 380

Answer:

0.5361

Step-by-step explanation:

Hope this helps :)

Answer:

0.325

Step-by-step explanation:

Divide 26 by 80

Answer:

6.)66 degrees

7.)20 degrees

Step-by-step explanation:

Step-by-step explanation:

Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees

If you subtract 114 from 180 you get 66 degrees

Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees

If you subtract 70 from 90 you get 20

Answer:

2(x+1) or 2x+2

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer: B) 4/52 * 3/51

Step-by-step explanation:

the probability of drawing the first ace is 4/52 bc there are 4 aces and 52 cards. the probability of drawing the second ace is 3/51 bc there are now three aces ( bc we removed one in the first step) and there are now 51 cards (bc we removed a card in the first step and there is no replacement). combine the probabilities with multiplication because it’s a multistage event

Answer:2

Step-by-step explanation:

Step-by-step explanation:

The answer is to your question is 192817359

Answer:

Rational

Step-by-step explanation:

Because the decimal is repeating like 3.33333333 repeating it would be rational because it can be predicted that the number after it would be 3. If the answer was .5647395043794 with more number after it then it wouldn't be able to be determined and would be irrational.

Answer:

Option B. is correct

Step-by-step explanation:

Given:

Data: 12 24 56 7 34 75 34 86 34 78 and 96

To find: the most appropriate first interval

Solution:

A histogram is a pictorial representation to display frequency data using rectangular bars.

In histogram, each bar is for a range of data.

For the given data, options A. is not appropriate as the least value given in the data is 7.

Option C. is not appropriate as then the data falls under just two intervals only.

Option D. is not appropriate as then the data falls under just one interval only.

Option B. is the most appropriate first interval

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

Let's review why the other answers are incorrect.

First, A would not be correct since a curved line doesn't necessarily indicate that it is a function, however, it is a non-linear function since it's not a straight line but rather a curved line as said. Now, you might be wondering why exactly A would not be correct even if it is a non-linear function, the reason is because most of time, you are asked to find and determine if a graph is a function or not using the vertical line test.

Second, C would not be correct since it is saying that a function has to be a straight line, but as we've covered that above, in which a function does not have to be linear and can be non-linear which means it's a curved line. Thus, C is not correct as non-linear functions exist.

Third, D would not be correct because this graph actually does pass the vertical line test. In order for the graph to fail the vertical line test, it has to touch the graph in the same x points. This graph passes the vertical line test, since the x coordinates haven't repeated yet, however in some cases, the direction of the line may suddenly change and touch upon the same x points. But, in theory, this line would be starting from the origin and heading to infinity with it's curvature.

Lastly, the reason why B is correct is due to it passing the vertical line test. Again, we already covered this in the 3rd reason but I must make it clear that, this is a function since it passes the vertical line test.

Answer:

B

Step-by-step explanation:

We can eliminate options A and C because in order to be a function, a graph doesn't have to be curved or a straight line. For examlpe, a straight line isn't curved, and a parabola isn't a straight line, but they are still functions. This leaves us with options B and D, which both pertain to the vertical line test. If we conduct this test, we will find that no vertical line intersects the graph and 2 points. Therefore, it passes the vertical line test, and is a function. Hope this helps!

Answer:

B. 6√2

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:

a² + b² = c²

Here, a = b = 6, so:

6² + 6² = c²

36 + 36 = c²

72 = c²

c = √72 = 6√2

Now, we see the answer is B.

However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.

One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.

Thus, the answer is B.

Answer:

  $1350

Step-by-step explanation:

Apparently, we're to assume that the bill is proportional to the energy usage. Then reducing energy by 10% would reduce the bill by 10%.

10% of the bill is 0.1 × $1500 = $150.

If the bill is reduced by $150, it becomes ...

  $1500 -150 = $1350

If they are successful, their bill will be $1350.

_____

In general, utility bills have a number of fixed charges or fees that are not proportional to the quantity of utility used. Too, they can have graduated rates that make them non-proportional.

Figuring 90% of some arbitrary number might be an interesting math exercise, but it has no relation to the world of utility billing for a 10% change in usage.

[tex]184.5 \: ft {?}^{2} [/tex]

Answer:

3.012  

Step-by-step explanation:

Let use x to represent the length of time  some computer part may work

where ; we have a sample of  size n = 80

Say [tex]X_1, X_2, ... X_{80[/tex]

[tex]X_i[/tex]  [tex]\approx[/tex] [tex]exp (\lambda)[/tex]   where ( λ =26 days)

[tex]E( \bar X) = \frac{1}{n} \sum \limits^n_{i=1} E( {x_i})= 26[/tex]

[tex]V(\bar X) = \frac{1}{n^2} \sum \limits ^n_{i=1} U(X_i) = \frac{(26)^L}{n}[/tex]

So find [tex]\bar X 's[/tex] distribution using the Normal approximation.

[tex]\bar X \approx N (26, \frac{(26)}{n}^L)[/tex]

[tex]Z = \dfrac{\bar {X} - 26}{\frac{26}{\sqrt n}} \approx N (0,1)[/tex]

However, let's determine c such that:

[tex]P (-c \leq \bar x \leq c) = 0.8 \\ \\ P ( \dfrac{-c-26}{\frac{26}{\sqrt n}} \leq \dfrac{\bar x -26 }{\frac{26}{n} } \leq \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.8[/tex]

[tex]P ( \dfrac{-c-26}{\frac{26}{\sqrt n}} \leq Z \leq \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.8[/tex]

where; [tex]Z \approx N (0,1)[/tex]

[tex]P ( Z > \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.15 = P ( Z < \dfrac{-c-26}{\frac{26}{\sqrt n}})[/tex]

[tex]\dfrac{c-26}{\frac{26}{\sqrt n}}= 1.036[/tex]

[tex]c= 26+\frac{26}{\sqrt 80}}* 1.036[/tex]

c = 29.0115

Given that :

The 80% percentile of the distribution of the average is of the form

E(X) + c

Then;

29.0115-26 = 3.0115

≅ 3.012    (to 3 decimal place)

Answer:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2[/tex]

For this case we got a significant result that means that the real correlation coefficient is different from 0 . And for this case the best interpretation would be:

This result indicates that earning more money influences people to recycle more than people who earn less money

Step-by-step explanation:

The correlation coeffcient is given by this formula:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]  

For this case we know that this value of r is positive and represent a string correlation between income level and the number of containers of recycling

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2[/tex]

For this case we got a significant result that means that the real correlation coefficient is different from 0 . And for this case the best interpretation would be:

This result indicates that earning more money influences people to recycle more than people who earn less money

Answer:

About 2 of their next 5 deserts sold would be brownies.

Let's represent this by fractions. If 8 out of the 20 desserts they sold were brownies, that would make the fraction 8/20 represent how many brownies were sold.

Now if you reduce this fraction, you get 2/5, which tells about how many brownies will be sold in the next 5 brownies judging by the other data.

Step-by-step explanation:

Step 1:  Multiply them together to get the area

[tex]A = L * W[/tex]

[tex]A = (x + 4)(3x - 1)[/tex]

[tex]A = (x * 3x) + (x * -1) + (4 * 3x) + (4 * -1)[/tex]

[tex]A = 3x^2 - x + 12x - 4[/tex]

[tex]A = 3x^2 + 11x - 4[/tex]

Answer:  [tex]A = 3x^2 + 11x - 4[/tex]

Answer:

3x² + 11x - 4

Step-by-step explanation:

Area = length × width

= (x+4)(3x-1)

= 3x² + 12x - x - 4

= 3x² + 11x - 4

Answer:5

Step-by-step explanation:(1×2^2)+(0×2^1)+(1×2^0)=

1×4+0×2+1×1=

4+1=

5

Answer: I think it’s A sorrykf I’m wrong

Step-by-step explanation: