Find an equation for the horizontal line through the point (2,−8).

Answer:

1. get closer to 0

2. symmetrical across y=-x

3. x cannot be equal to 0

4. decreasing if x<0, increasing if x>0

Step-by-step explanation:

yes

The critical value zα/2 that corresponds to a 83% confidence level is 1.37.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that the confidence level (C) = 83% = 0.83

α = 1 - C = 0.17

α/2 = 0.17/2 = 0.085

The z score of α/2 corresponds with the z score of 0.415 (0.5 - 0.085) which is equal to 1.37

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Answer:

(3x-1)/5= (x+1)/3

3(3x-1)=5(x+1)

then solve which the final answer will give you x=8

a2 + b2 = c2 can be use to find missing lengths of the right triangles

The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:

Initial triangle

[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)

Final triangle

[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)

By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)

By (1), we simplify the expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)

If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:

[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)

Then, we reduce (3b) into an entirely algebraic expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)

Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].

Now we clear [tex]\Delta \theta[/tex] within the formula:

[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex]  (5)

If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:

[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]

[tex]y_{2} \approx 0.545[/tex]

[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]

[tex]\Delta \theta = 0.095[/tex]

As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

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Answer:

10.3 pounds

Step-by-step explanation:

Answer:

10.3 pounds

Step-by-step explanation:

15.8-5 1/2 is 10.3

Answer:

She thought the multiplication symbol was the addition symbol

actual answer: 1.39 x 10^12

Step-by-step explanation:

If it was addition, then she’d be correct;

6.75x10^6 + 0.2x10^6

= (6.75 + 0.2)x10^6

= 6.95x10^6

But really, it was a multiplication, meaning the answer really is;

(6.95x10^6)x(0.2x10^6)

= 1.39 x 10^12

Answer:

0

Step-by-step explanation:

Answer:

I honestly don't know that fashoo

Answer:

4

Step-by-step explanation:

$8.00+$2.25 = $10.25

$50.00÷$10.25= 4.

Answer:

Answers in Explanation

Step-by-step explanation:

8x^3 + 2x^2 - 20x - 5

(8x^3 + 2x^2) + (-20x - 5)

2x^2 (4x + 1) + (-5) (4x+1)

(2x^2 - 5) (4x + 1)

Answer:

5³

Step-by-step explanation:

5³ is the answer since it's the greater between the two numbers

Answer:

125

Step-by-step explanation:

This is because 5^2 *5 is 125 and 5^3 * 1 = 125   and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2  = 5  and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number  - The other workings would be to do a prim e factor tree   of 125  =  5  25  5 and 5 =  5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125  

Answer:

First blank: translated

Second blank: Reflected across the x axis

Third blank: Rigid (if that's an answer choice)

Fourth blank: congruent

Step-by-step explanation:

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Answer:

the Slope is 0 because the x value is going up as the y stays the same

Brainliest please

Let months be x

[tex]\\ \sf\longmapsto 80+15x=29x[/tex]

[tex]\\ \sf\longmapsto 29x-15x=80[/tex]

[tex]\\ \sf\longmapsto 14x=80[/tex]

[tex]\\ \sf\longmapsto x\approx 6months[/tex]

Answer:

43  months in ymca including the $80 sign up fee is equal to 25 months in blink

Step-by-step explanation:

$725 divided by $29 =25 months

$ 725 - $80 sign up = $645 .

Now we divide this by $15.

$645 divided by 15= 43 months

Answer:

Salami: $3.00

Ham: $ 8.00

Step-by-step explanation:

12 * 1/4 = 12/4 = $3.00

12 * 2/3 = 24/3 = $8.00

Answer:180

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

3x=-13-2

3x=-15

x=-5

Answer:

add 6 time 8 and get the answer like that.

Step-by-step explanation:

just keep adding that what you need to do ok.

Answer:

1.5 songs/minutes

Step-by-step explanation:

30÷20 = 1.5

9514 1404 393

Answer:

  radius = 5 cm

Step-by-step explanation:

The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.

__

If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:

  A = πr²

  78.5 = 3.14×r²

Dividing both sides by 3.14 gives the square of the radius:

  78.4/3.14 = r² = 25

Taking the positive square root gives the radius:

  r = √25 = 5

The area is in square centimeters, so the radius is in centimeters:

  radius = 5 cm

Answer:

$180

Step-by-step explanation:

y = 30x +150

30(1) + 150

= 180

What is the options?

Answer:

-b = 14

-n = 28

Step-by-step explanation:

For b

50/100=b/28 cross-multiply

1400= 100b divide both sides by hundred

-b = 14

For n

25/100= 7/n cross multiply

25n = 700 divide both sides by 25

-n = 28

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

To know more about interval:

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