An astronomer knows the distances from herself to stars A and B as well as the distance between them.


The distances are 450, 400, and 90 light years (1.y.) respectively.


If the astronomer's telescope is currently pointed at star A. how many degrees must she rotate her


telescope to see star B?


Do not round during your calculations. Round your final answer to the nearest degree,


B


90


400 l.y.


Astronomer


450 l.y.

Answer:

27

Step-by-step explanation:

Those angles are co interior, and thus add up to 180°. So therefore:

(x+72) + 3x = 180

simplified:

4x+72 = 180

so 180 - 72 = 108

4x = 108

x = 27

Answer:

14.1 inches squared.

Step-by-step explanation:

A = (3.141)(6)^2

A = 113.1 inches squared

Now that we know the area, we simply divide it by 8, as there are 8 EQUAL pieces, and so each piece must have an EQUAL area. This gives us:

113.1 / 8 = 14.1

Answer:

14.1

Step-by-step explanation:

In this situation, where the price of the soda remains constant regardless of the number of refills, the slope of the function representing this scenario is 0.

In mathematics, the slope of a function can be thought of as the rate of change of the dependent variable (in this case, cost) in relation to the independent variable (in this case, number of refills). Given that the price for the soda remains constant at $3 regardless of the number of refills, the slope would be 0. This is because the cost (the y-value) does not change as the number of sodas (the x-value) increases. Thus, the correct answer is 1) 0.

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Answer: The answer is B I hope that helps:)

Step-by-step explanation:

Answer:

  -4, 2, 8, 14, 20

Step-by-step explanation:

The rule is called a "position to term" rule. That means the word "position" is being used to identify the location of a term in the sequence. The first term is in position 1, for example. Using the rule that the position is multiplied by 6, then 10 is subtracted, we find the terms to be as follows.

In position 1, the term is ...

  1×6 -10 = -4

In position 2, the term is ...

  2×6 -10 = 2

In position 3, the term is ...

  3×6 -10 = 8

In position 4, the term is ...

  4×6 -10 = 14

In position 5, the term is ...

  5×6 -10 = 20

The first 5 terms are -4, 2, 8, 14, 20.

Answer:

E2020

Step-by-step explanation:

The infinite sequence can be written as -2, 4, -6, 8 ..... with common difference -2.

In a geometric sequence, the ratio of two consecutive terms are always equal.

The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .

The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1).

The expression for the general term for the given sequence is as below,

aₙ = (-1)ⁿ2n

The various terms can be written for different values of n as follows,

⇒ a₁ = (-1)¹ × 2 × 1 = -2

⇒ a₂ = (-1)² × 2 × 2 = 4

⇒ a₃ = (-1)³ × 2 × 3 = -6

⇒ a₄ = (-1)⁴ × 2 × 4 = 8

The common ratio can be given as a₂/a₁ = 4/-2 = -2

Hence, the given infinite sequence can be written as -2, 4, -6, 8 ..... with common ratio -2.

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Answer:

Well, Your best answer will be is Y = -1.026x2 + 1016.402x - 162075. Because, When x = 100

y = -1.036x^2 + 1024.771x - 163710

y = -1.036(100)² + 1024.771(100) - 163710

y = -10360 + 102477.1 – 163710

y = -71592.9

Good Luck!

[tex]_{Itsbrazts}[/tex]

The equation best represents the data is : Y = -1.026x² + 1016.402x - 162075.

An equation is a mathematical expression that contains an equals symbol.

As, per the given table

Y = -1.026x² + 1016.402x - 162075.

When x = 100

y = -1.036(100)² + 1024.771(100) - 163710

y = -10360 + 102477.1 – 163710

y = -71592.9

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Answer:

D

Step-by-step explanation:

just did it on edge

Answer: No

Step-by-step explanation:

I believe there would only be one describing both if they were parallel lines, but they are going two different directions in this graph. Correct me if I am wrong!

Answer:

20% increase

Step-by-step explanation:

1- New number-original number

2- number increased divided by new number then multiply by 100

15-12= 3

3 divided by 15= 0.2

0.2 times 100= 20%

If an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.

Given that, an original quantity is 12, and the new quantity is 15.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here,

Percentage increase = (New quantity - Original quantity)/Original quantity ×100

= (15-12)/12 ×100

= 3/12 ×100

= 0.25×100

= 25%

Therefore, if an original quantity is 12, and the new quantity is 15, then the percentage increase is 25%.

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Answer:

3. Quadratic

Step-by-step explanation:

Penny is falling under gravity

acceleration due to gravity is constant

Velocity is the integral of acceleration, which is linear

Displacement is the integral of velocity, which is quadratic

Answer:

12 multiple choice questions

Step-by-step explanation:

The system of equations is:

m + t = 19 (quantity of questions)

6m + 4t = 100 (point value)

We use elimination to solve.

Multiply everything in the first equation by 4.

4m + 4t = 76.

subtract that from the second equation.

2m = 24

Divide both sides by 2.

m = 12

Answer:

Step-by-step explanation:

Let x be the number of true or false questions.

Let y be the  number of multiple choice questions

Total questions = 19

x + y = 19   ---------------(i)

Total points = 100

4x + 6y = 100  ---------------(ii)

Multiply equation (i) by (-4).

(i)*(-4)            -4x - 4y = -76

(ii)                  4x + 6y = 100   {Now add. thus x will get eliminated}

                            2y = 24

y = 24/2

y= 12

There were 12 multiple choice question

Answer:

x = 1

Step-by-step explanation:

Answer:

32 cubic meter

Step-by-step explanation:

Volume  for any pyramid  is given by  following expression

volume of pyramid = 1/3( area of base of pyramid * height of pyramid)

________________________________

In the problem

base area of pyramid = 24 sq. m

height = 4 m

Therefore substituting the above given value in formula for volume of pyramid we have

volume of pyramid = 1/3( 24 sq. m * 4 m) = 8 sq. m * 4 m   (since 24/3 = 8)

volume of pyramid =  32 cubic meter.

Answer:

choice A:   y = 25*x

Step-by-step explanation:

A proportional relationship between x and y  would be  y = 25*x

because   y/x = 25  (a constant)

We could say that   y = 2x  + 0.5   can be a proportion relationship,  but not between y and x directly.

y=  2* x  +  2* (1/4)  =  2* (x + 1/4)

and get :    y / (x + (1/4) )  = 2     y  and  (x + (1/4)) are in a proportional relationship,  except it would not be y and x  .

Answer:

A) y = 2 5 x

Step-by-step explanation:

Answer:

=3/1 or 3

Step-by-step explanation:

-3/4÷2/-8

=-3 × -8/4 × 2

=24/8

=24 ÷ 8/8 ÷ 8

=3/1

Answer:

0.013 M NaOH

Step-by-step explanation:

HCL + NaOH = NaCL + water

The mole ratio of acid and base is 1:1

Molarity is equal to the moles of solute divided by the liters of solution

Solute mole = 12.5 × 10^-3 × 0.3

= 0.003075

To neutralize 0.00375mol of HCl, 0.00375 mol of NaOH will be required. Since molarity is moles per liter, divide this amount of moles by the volume in liters:

Molarity = 0.00375/285 × 10^-3

Molarity = 0.0131 M

The molarity concentration of the NaOH solution is 0.013M NaOH

The equation of reaction is given as:

[tex]HCl + NaOH >>>>>> NaCl + H_2O[/tex]

Concentration of Hcl, [tex]C_{Hcl}=0.30M[/tex]

Volume of Hcl, [tex]V_{HCl}=12.5mL[/tex]

Concentration of NaOH = [tex]C_{NaOH}[/tex]

Volume of NaOH, [tex]V_NaOH = 285mL[/tex]

From the equation of reaction:

Number of moles of Hcl, [tex]n_{HCl}=1[/tex]

Number of moles of NaOH, [tex]n_{NaOH}=1[/tex]

The formula for neutralization is given as:

[tex]\frac{C_{HCl}V_{HCl}}{C_{NaOH}V_{NaOH}} = \frac{n_{HCl}}{n_{NaOH}}[/tex]

Substitute the values of the parameters

[tex]\frac{0.30(12.5)}{C_{NaOH}(285)} =\frac{1}{1} \\\\C_{NaOH}(285) = 0.30(12.5)\\\\C_{NaOH}(285) = 3.75\\\\C_{NaOH}=\frac{3.75}{285} \\\\C_{NaOH} = 0.013M[/tex]

The molarity concentration of the NaOH solution is 0.013M NaOH

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Answer:

117 ft

Step-by-step explanation:

13 x 9 = 117

Answer:

117

Step-by-step explanation: since you  climb 13 feet per minute you do 13×9 to get the answer of 117

Answer:

The surface area of the rectangular prism is 256

Step-by-step explanation:

Answer:

256 yd2

Step-by-step explanation:

Answer:

B. 9.4 cm

Step-by-step explanation:

The formula for circumference is 2(pi)r; so 2(3.14)1.5=9.42

Answer:

20 feet above sea level.

Explanation:

This can be solved by looking at the Rate of Change. It is given that for ONE minute that passes by, her elevation increases by ONE foot.

With this rate, after 20 minutes, the elevation can be shown as:

20 min × 1 foot= 20 feet.

Answer:

20ft

Step-by-step explanation:

Sea level is at 0 and the hiker hikes for 20 minutes at a rate of 1 foot. 20*1=20.

0+20=20

I will see if i can help you since you had helped me

26. 244611.80  $

27. ?

28. 2568246.87126  $

29. 11850.59

30. 426647.047  $

I do not know about #27

But I do know about the rest

Answer:

1,4 and 4

Step-by-step explanation:

Answer:

1 4 4

Step-by-step explanation:

Answer:

Yes they are independent, because P(girl) ≈ 0.42 and P(girl l plays a sport) ≈ 0.42

Step-by-step explanation:

A.P.E.X

Yes, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4

The term probability refers to the likelihood of an event occurring. It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Given that;

We have been given a table that shows the results broken down by gender.

            Play sports         Do not play sports       Total

Boy            105                            75                        180

Girl             70                             50                        120

Total          175                            125                       300

Here, Formula for probability of independent events:

"If A and B are independent events then, P(A∩B) = P(A).P(B)"

And, Formula of the probability of an event A is:

⇒ P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

Now, Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 120/300

⇒ P(girl) = 0.4      .....(1)

And, we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport) = Number of girls who plays a sport/ number of students who plays a sport

= 70/ 175

= 0.4    ...(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, Being a girl and playing a sport are Independent events.

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The complete question is this,

Anthony surveys a group of students at his school about whether they play a

sport. This table shows the results broken down by gender.

Play a sport

Total

Do not play a

sport

105

70

175

Boys

Girls

75

50

125

Total

180

120

300

Are being a girl and playing a sport Independent events? Why or why not?

O A. Yes, they are independent, because P(girl) = 0.58 and P girl plays

a sport) = 0.6.

O B. Yes, they are independent, because (girl) = 0.42 and girl plays

a sport) - 0.42

O c. No, they are not independent, because P(girl) = 0.42 and

P(girl plays a sport) = 0.42.

D. Yes, they are independent, because (girl) = 0.58 and P(girl plays

a sport) = 0.58

Answer:

i dont know answer but a ordered pair is said to be a function if every element of A associates with unique element of B.

Answer:

12 feet

Step-by-step explanation:

4.5 pieces of rope = 9/2 pieces in fractions

Also, 2 2/3 can be rewritten as 8/3 in fractions

So, 9/2 *8/3 = 72/6 = 12 feet

Allyson has 12 feet of rope in all.

Answer:

Surface area is 176π cm²

Step-by-step explanation:

Data

Surface area (SA) of the cylinder is computed as follows:

SA = π*d*h + π*d²/2

Replacing with data:

SA = π*8*18 + π*8²/2

SA = 144π + 32π

SA = 176π cm² ≈ 552.92cm²

Answer:

4 2/4

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4

To find the total weight of the coins Trey picked up, multiply the weight of one coin by the number of coins. The total weight is 9/2 ounces or 4.5 ounces in decimal form.

To find the total weight of the coins Trey picked up, we need to multiply the weight of one coin by the number of coins picked up. The weight of one coin is 3/4 ounces, and Trey picked up 6 of these coins. To multiply a fraction by a whole number, we multiply the numerator (top number) of the fraction by the whole number. So, the total weight of the coins Trey picked up is (3/4) * 6 = 18/4 ounces.

Next, we simplify the fraction to its simplest form. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD. In this case, the GCD of 18 and 4 is 2. Dividing both the numerator and denominator by 2, we get 18/4 = 9/2. So, the total weight of the coins Trey picked up is 9/2 ounces or 4.5 ounces in decimal form.

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Dot plots will not work well for large sets of data, because a dot would need to be plotted for each value.

Given is to investigate the disadvantage of using the dot plot to organize data.

Therefore, Dot plots will not work well for large sets of data, because a dot would need to be plotted for each value.

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