An angle whose measure is –102° is in standard position. In which quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV.

Answer:

67

Step-by-step explanation

I did this in my math class yesterday

1. Divide 4 both sides

2. Graph the inequality

yes 7 - 11 = -4

so 7x - 11x = -4x

Using the Fundamental Counting Theorem, it is found that there is a 0.2 = 20% probability of choosing a random number that starts with 9 from this group.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that:

Then, the total number is:

N = 5 x 4 x 8 x 7 x 6 x 5 = 33600.

Starting with 9, we have that:

Then:

N9 = 1 x 4 x 8 x 7 x 6 x 5 = 6720.

A probability is given by the number of desired outcomes divided by the number of total outcomes, hence:

p = N9/N = 6720/33600 = 0.2.

0.2 = 20% probability of choosing a random number that starts with 9 from this group.

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

Answer:

A, B, and C are rotations so it must be D

Step-by-step explanation:

Answer:

-2,-2 i think

Step-by-step explanation:

The standard deviation for this set of population data is 6.9. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The number of cars sold at a dealership over several weeks is given below.

14, 23, 31, 29, 33.

Then the mean will be

[tex]\mu = \dfrac{14+23+31+29+33}{5}\\\\\\\mu = \dfrac{130}{5}\\\\\\\mu = 26[/tex]

Then the standard deviation is given as

[tex]\sigma = \sqrt {\dfrac{\Sigma _{i=1}^n(x_i - \mu)^2}{n}}\\\\\\\sigma = \sqrt{\dfrac{(14-26)^2+ (23-26)^2+ (31-26)^2+ (29-26)^2+ (33-26)^2}{5}}\\\\\\\sigma = \sqrt{\dfrac{236}{5}}\\\\\\\sigma = \sqrt{47.2}\\\\\\\sigma = 6.87 \approx 6.9[/tex]

The standard deviation for this set of population data is 6.9. Then the correct option is A.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

Answer:

Step-by-step explanation:

The ph and poh values were calculated using the formula.

It is given that

[H⁺] of KOH solution = [tex]1.87*10^{-13}[/tex]

[tex]ph = -log[H^{+} ][/tex]

[tex]poh = -log[OH^{-} ][/tex]

So, ph of KOH solution = [tex]-log[1.87*10^{-13} ][/tex]

The ph of KOH solution = 12.72

Similarly, poh of a KOH solution that has [OH⁻] = 5.81 ×10–3m is 2.24.

The ph of NaCl solution that has [H⁺] = 1.00 × 10–7m is 7.

Thus, the ph and poh values were calculated using the formula.

To get more about ph and poh visit:

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Answer:

What is the pH of a KOH solution that has [H+] = 1.87 × 10–13 M? Round to the nearest tenth.

12.7

What is the pOH  of  a KOH  solution that has [OH–]  = 5.81 ×10–3M?  Round  to the nearest hundredth.

2.24

What is the pH of a solution of NaCl that has [H+] = 1.00 × 10–7 M? Round to the nearest hundredth.

7.00

Step-by-step explanation:

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

[tex]v_2 = v_1 + 4[/tex].

The first runner's speed is 4/5 of the speed of the second runner, hence:

[tex]v_1 = \frac{4}{5}v_2[/tex]

[tex]v_1 = \frac{4}{5}(v_1 + 4)[/tex]

[tex]\frac{1}{5}v_1 = \frac{16}{5}[/tex]

[tex]v_1 = 16[/tex]

[tex]v_2 = 16 + 4 = 20[/tex]

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at https://brainly.com/question/24863377

Answer:

Using proportions, it is found that the speed of the runners are of 16 mphand of 20 mph.What is a proportion?A proportion is a fraction of a total amount.After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:.The first runner's speed is 4/5 of the speed of the second runner, hence:Hence, the speed of the runners are of 16 mph and of 20 mph.

Step-by-step explanation:

Answer:

2

[tex]2 \times area \div height \:[/tex]

Step-by-step explanation:

the answer is 5

Answer:

JH=16

Step-by-step explanation:

Hi there!

We are given ΔHIJ, where HI is parallel to KL, and that JK=10, JI=40, and JL=25

We want to find JH

We can use something called the Triangle Proportionality Theorem to help us find JH

The Triangle Proportionality Theorem essentially states that if there is a line parallel to one of the sides of a triangle that intersects the other 2 sides of that triangle, then that segment divides those sides proportionally

In other words, KL is parallel to HI and intersects both HJ and JI, and JK, JH, JL, and JI create a proportion, which is [tex]\frac{JK}{JH} =\frac{JL}{JI}[/tex]

We can substitute the values that we know into that equation

[tex]\frac{10}{JH} =\frac{25}{40}[/tex]

We can simplify 25/40 to 5/8.

[tex]\frac{10}{JH} =\frac{5}{8}[/tex]

Now we can cross multiply (use the means-extreme theorem)

Multiply 10 and 8 together, and set that equal to 5 times JH

80 = 5JH
Divide both sides by 5

16=JH
Hope this helps!
See more on the Triangle Proportionally Theorem here: https://brainly.com/question/20064024

Answer:

A

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

Answer:

A. x<1

Step-by-step explanation:

-1/2 (x+3) > x - 3

(-1/2)x-3/2>x-3

Multiply both sides by 2:

-x-3>2x-6

add both sides by 3:

-x-3+3>2x-6+3

-x>2x-3

minus both sides by 2x

-x-2x>2x-2x-3

-3x>-3

x<1

Answer:

20

Step-by-step explanation:

if two trapezoids are the same proportions, and one is 3cm, and the other is 15, the makes that second 5 times larger than the first. therefore, the height is also 5 times larger

4 x 5=20

Answer:

D

....

.

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

Answer:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

Step-by-step explanation:

take a picture of the whole question I'm not sure if you wrote the second is right,where is "X" in the second equation?

John should use the closed circle when representing the inequality x ≤ 10.

An inequality is an expression that shows the relationship between two or more numbers and variables.

Given the inequality x ≤ 10. To graph this inequality, we need to represent it on a number line.

When representing on a number line, closed circle is used to represent ≤ or ≥ while open circle represents < or >.

John should use the closed circle when representing the inequality x ≤ 10.

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

A

Step-by-step explanation:

You would move the decimal back only 2 places.

Answer:

0.17

Step-by-step explanation:

All you do is divide by 100.

Answer:

40cm²

Step-by-step explanation:

[tex]Solution,\\Here,\\\\Height(h)=5cm\\\\Base(b)=8cm\\\\Now,\\\\Area=base*height\\\\Area=8cm*5cm\\\\Area=40cm^{2}[/tex]

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Height of the Parallelogram is 5 cm . Its Base is given as 8 cm . And, we have been asked to calculate the Area of Parallelogram .

For calculating the Area , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf {Area \: _{Parallelogram} \: = \: Base \: \times \: Height} [/tex]

[tex] \longmapsto \: \: \sf {Area \: _{Parallelogram} \: = \: 8 \: \times \: 5} [/tex]

[tex] \longmapsto \: \: \bf {Area \: _{Parallelogram} \: = \: 40} [/tex]

Hence :-

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Answer: B

Step-by-step explanation:

For a relation to be a function, each input value can only have one corresponding output.

Answer: Your average would be about 41 dollars

Step-by-step explanation:

Why because if you add up all of the costs and round it, the answer is 41

Answer: 10.5

Step-by-step explanation:

Answer:

The answer is 4m. I used my graphing calculator and this is how I got it step by step. Look at the pic.

Step-by-step explanation:

Answer:

2/10 or 1/5 if you want it simplified

Step-by-step explanation:

9/10 is basically 9 and 7/10 is 7 so 9 - 7 is 2 and we need to add the /10 back so it's 2/10 or 1/5

Step-by-step explanation:

want to draw=7/10

mistakely draw=9/10

here,

9/10

- 7/10

2/0

therefore, the engineer draw the line 2/0 longer than he need

Answer:

43 ,32 ,21 ,12, 5

Step-by-step explanation:

(x-3)(x-7)

(-2-3)(-2-7)  =45

(-1-3)(-1-7)    =32

(0-3)(0-7)    =21

(1-3)(1-7)      =12

(2-3)(2-7)    = 5

there are 13 people in line

Answer:

A) The initial value

Answer:

4

Step-by-step explanation:

The arithmetic progression terms, are

(2p+1), 13, (5p-3).

First find the distance between 2p+1 and 13.

[tex]13 -( 2p + 1 )= - 2p + 12[/tex]

Then find distance between 13, and 5p-3

[tex]5p - 3 - ( 13) = 5p - 16[/tex]

Terms in a AP progression should have same distances as each other.

[tex]5p - 16 = - 2p + 12[/tex]

[tex]7p = 28[/tex]

[tex]p = 4[/tex]

Answer:

Given 2p+1, 13 , 5p-3 are in AP. P is 4.

Find 6% of 13.25

0.06 x 13.25 = 0.795

Then subtract 0.795 from 13.25 because the price was less last year

13.25-0.795 = 12.455

Rounded up that would be $12.46 last year

Answer:

28°

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28°

Please brainlest!