In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.

A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.

Write and solve an equation to determine the measure of angle y.

Answer:

The graph f(x) was shifted 3 units to the right and shifted 2 units up to get the graph of g(x).

Step-by-step explanation:

From the original graph to the transformed one, we can see that the transformations (x - 3) and + 2 were added to the equation.

The (x - 3) means that the x-value of the vertex will increase by 3, meaning that the graph will shift 3 units to the right.

The +2 will increase the y-value of the vertex by 2, meaning that the graph will move up 2 units.

So, the graph of g(x) relates to f(x) as it is a transformation 3 units to the right and 2 units upwards.

Answer:

The table is attached!

Step-by-step explanation:

Given: There are 24 students in the class

The number of students that does not play a sport is 24 - 14 = 10

The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8

The frequency table thus is attached below:

Answer:

39 hours

Step-by-step explanation:

First, let's find the rate of money per hour:

$554.30 / 23 hour

= $24.1 / 1 hour

Daniel earns $24.10 every hour he works.

To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:

$939.90 / 24.10

= 39

Now, we can check:

$24.10 * 39

= $939.90

Hope this helps!  Please tell me if I was incorrect!

Answer:

P = 0,7947       or    79,47%

Step-by-step explanation:

We have 20 balls, the total possible outcomes drawn two balls simultaneously is:

C =  m! /n! *( m - n )!

C = 20!/2! *( 20 - 2)!

C= 20*19*18!/ 2* 18!

C  =  20*19/2

C = 190

Now the number of successful outcomes x ( those where balls differ by more than 2 is)

x = total numbers of outcomes  -  20  ( outcomes differing in 1 ) - 19 (outcomes differing in 2 )

x =  190 - 39

x = 151

Then the probability  of drawing tw balls with numbers differing n mr than two is

P = successful outcomes / total outcomes

P = 151/190

P = 0,7947       or    79,47%

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

The time will be t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable the dependent variable.

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum.

We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground.

The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

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Answer:

about 62m^3

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

divide 10 by two and get 5

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

We have the equation [tex]2x = 10[/tex], we can try and isolate x by dividing both sides by 2.

[tex]2x \div 2 = 10\div2\\x = 5[/tex]

Hope this helped!

Answer:

t = 0.75n - 0.25

t represents your total

Step-by-step explanation:

So lets start by writing our total variable.

t =

Now each candy is 0.75 so lets write that down too.

t = 0.75

Since we don't know how much candy we buy, lets multiply 0.75 by n.

t = 0.75n

Now we have a $0.25 coupon so now subtract the 0.25 from the cost.

t = 0.75n - 0.25

There you go.

Answer:

x = 7

Step-by-step explanation:

2x + 1 = -3x + 36

2x + 3x + 1 = -3x + 3x +36

5x + 1 = 36

5x + 1 - 1 = 36 - 1

5x = 35

5x/5 = 35/5

x = 7

Answer:

first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7

Step-by-step explanation:

hope this helps

Answer:

[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]

Step-by-step explanation:

First assign a letter "y" to g(x) and get rid of parenthesis on the right:

[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]

Now, solve for "x":

[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]

now replace y with x, and call x : [tex]g^{-1}(x)[/tex]

[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]

Answer:

-6 - [tex]\frac{x}{3}[/tex]

Step-by-step explanation:

Answer:

30 gallons of tea

Step-by-step explanation:

We are looking at the average of cups of tea per minute but we are given the time frame of lunch in hours, so first, we have to convert the hours to minutes:

There are 60 minutes in 1 hour and lunch is 2 hours long.  So, multiply 60 by 2 to get 120 minutes total.

Next, we have to find out the number of cups of tea poured during the lunch.  We have been told already that an average of 4 cups of tea are poured a minute.

Therefore, multiply 4 by the total number of minutes for lunch.  You will multiply 4 by 20 to get 480 cups of tea poured in total during the catered lunch.

Finally, we have to see how many gallons of tea the caterer should bring.  We should know that there are 16 cups in one gallon.

That means we have to divide the total number of cups poured by 16.  Divide 480 by 16 to get 30 gallons of tea that the caterer should bring.

Answer:

$1.89

Step-by-step explanation:

1 gallon= 8 pints

2gallons= 16pints

$30.24÷ 16= $1.89

Answer:

3.43

12 pints

Step-by-step explanation:

2 gallons = 12 pints. 30.24 divided by 12 is 3.43

Answer:

I'm sorry but I can give exact numbers but I would like to help work it out so...

Step-by-step explanation:

So overall she had £500 to start with

And £1 is equal to 10.4 rand

So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds

Hope this helps

If this seems incorrect please comment and I will change my answer thanks:)

Answer:

The number of hours monorail run each day is 18.

Step-by-step explanation:

The total number of riders the monorail carry each day is:

N = 92700.

The number of riders the monorail carry per hour is:

n = 5150.

Compute the number of hours the monorail run each day as follows:

[tex]\text{Number of hours the monorail run each day}=\frac{N}{n}[/tex]

                                                                     [tex]=\frac{92700}{5150}\\\\=18[/tex]

Thus, the number of hours monorail run each day is 18.

Answer:

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Step-by-step explanation:

Sandy's older sister was given $2,400

She was told to keep the balance of the money after sharing with her siblings.

She gave  Sandy exactly $350

The objective is to write Sandy's portion.

Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.

Let Sandy's older sister be y,

So, y = 2400

Sandy's portion = [tex]\dfrac{350}{2400}[/tex]

Sandy's portion = [tex]\dfrac{35}{240}[/tex]

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Answer:

11

Step-by-step explanation:

she divides the number of pencils equally

so the number of pencils per student is 152/13

which is 11.692...

but she can't give 0.69 of a pencil so she gives only the whole part 11

and she keeps 9 pencils

Answer:

C. 8^20/2^8

Step-by-step explanation:

(8^5/2²)^4

8^20/2^8

Answer:

7x-5

Hope this helped; mark brainliest if it did! :)

Answer:

B. Only line B is a well-placed line of best fit.

Step-by-step explanation:

A good line of best fit is a line drawn to represent, as much as possible, all data points. As long as the data points are clustered along the line, and are not farther from each other, the line is a best fit for such data points.

Therefore, from the two lines drawn by Maggie, Line B seems to be the only well-placed line of best fit, as virtually all the data points are clustered along the line, compared to Line A. Line A only runs across 2 data points. The rest data points are scattered far apart from the line.

Therefore, the statement that best describes the placement of the line of best fit drawn by Maggie is: "B. Only line B is a well-placed line of best fit."

Answer:

Only line B

Step-by-step explanation:

Line A is too low on the graph to be best fit for the plot

Answer:

Option (1)

Step-by-step explanation:

By the property of the liquids,

"Liquids have a fixed volume but don't have the fixed shape. If we put a liquid in a bottle or a cup it will acquire the shape of a bottle or cup."

In our question, coffee when kept in a cup will take the shape of the cup which is a hemisphere.

Volume of a hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]

Where 'r' = radius of the hemisphere

Radius of the cup = [tex]\frac{16.51}{2}[/tex] cm

Volume of the hemisphere = [tex]\frac{2}{3}\pi (\frac{16.51}{2} )^{3}[/tex]

                                             = [tex]\frac{2}{3}\pi (8.255)^3[/tex]

                                             = 1177.5778

                                             ≈ 1177.58 cm³

Therefore, Option (1) will be the answer.  

Answer:

Step-by-step explanation: 2 raised to 2 or 2^2 is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4

Answer:

Step-by-step explanation: 2 raised to 2 or 2^2  

is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4

Work Shown:

f(x) = 50(0.952)^x

f(9) = 50(0.952)^9

f(9) = 32.1146016801717

f(9) = 32 approximately

Side note: the exponential function is in the form a*b^x with b = 1+r = 0.952, which solves to r = -0.048. The negative r value means we have a 4.8% decrease each year.

Another note: you don't even need to use math to answer this question. Note how 50 is the starting population and the population is declining. Only choice B has a value smaller than 50, so we can rule out the others right away.

Answer:

  32

Step-by-step explanation:

The initial value of the population is f(0) = 50(0.952^0) = 50. If the population is declining, it must be less than 50 in 9 years. The only answer choice that is less than 50 is ...

  about 32 feral cats

_____

You can evaluate f(9) to choose the same answer:

  f(9) = 50(0.952^9) ≈ 32.114 ≈ 32

Answer:

Mean = $70.8

Median = $70

Mode = $60

Step-by-step explanation:

From the line plot attached,

Prices of the sunglasses are,

$20, $20, $50, $50, $50, $60, $60, $60, $60, $60, $60, $70, $70, $70, $80, $80, $80, $80, $90, $90, $90, $90, $100, $100, $130

Since mean of the data = Average of the terms

                                       [tex]=\frac{\text{Sum of the terms in the data set}}{\text{Number of terms}}[/tex]

                                       = [tex]\frac{2(20)+3(50)+6(60)+3(70)+4(80)+4(90)+2(100)+130}{(2+3+6+3+4+2+1)}[/tex]

                                       = [tex]\frac{40+150+360+210+320+360+200+130}{25}[/tex]

                                       = [tex]\frac{1770}{25}[/tex]

                                       = $70.8

Median = Middle term of the data set

Since number of terms of the data set are odd (25)

Therefore, median = [tex](\frac{n+1}{2})\text{th term}[/tex] [where n = number of terms in the data set]

                               = [tex]\frac{25+1}{2}[/tex]

                               = 13th term

13th term of the data set is $70.

Therefore, Median = $70

Mode = Term repeated the most

In the data set $60 is the term which is repeated the most (6 times).

Therefore, Mode = $60

Answer:

68.06 sq. feets

Step-by-step explanation:

Area of room's floor

11.33 × 7 = 79.33

Area of tiled floor

4.83 × 2.33 = 11.278

Area of floor needed to be carpeted

79.33-11.278= 68.06

Answer:

9.42

Step-by-step explanation:

Breaking the phrase down:

'Nine' would be the number 9 in the ones place.

'And' represents the decimal in a number. ('.')

'Forty-Two Hundredths" is 0.42.

So, "nine and forty-two hundredths" would be 9.42.

Hope this helps.

Answer:

If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.

Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.

So, we can say that it is an example of independent event.

Answer:

1 1/7.

Step-by-step explanation:

-9 2/7 - (-10 3/7)

= -9 2/7  + 10 3/7

= - 9 + 10 - 2/7 + 3/7

= 1 + 1/7

= 1 1/7.

Answer:

Option B is the correct option

Step-by-step explanation:

[tex] \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }[/tex]

First thing we have to do is that convert the mixed number into improper fraction .

[tex] \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}[/tex]

Follow the steps:

Now, let's do it!

[tex] \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}[/tex]

⇒[tex] \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}[/tex]

When there is a ( - ) in front of an expression in the

parentheses , change the sign of each term in the expression

⇒[tex] \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }[/tex]

Convert mixed number into improper fraction

⇒[tex] \mathsf{ - \frac{65}{7} + \frac{73}{7} }[/tex]

While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same

⇒[tex] \mathsf{ \frac{ - 65 + 73}{7} }[/tex]

Calculate

⇒[tex] \mathsf{ \frac{8}{7} }[/tex]

Convert the improper fraction into mixed fraction.

( Since 8 is being divided by 7 , I am gonna use long division )

( See attached picture )

⇒[tex] \mathsf{1 \frac{1}{7} }[/tex]

Hope I helped!

Best regards!!

Answer:

x = 0

Step-by-step explanation:

In order for this to be a function there has to be an x and y pair.  You cant have 2 different x values correlate to 1 y value.  The only number not used on the table of value is 0

Therefore the value of x is 0

==================================================

Explanation:

The table shows the inputs of -5, -1, x, 1 and 3. Ignore the x for now. The numerical inputs are -5, -1, 1, 3

If we have any input repeat itself with a different paired y value, then we will not have a function.

So if x = -5, then we don't have a function. This is because x = -5 is already paired with y = 4 in the top row. We can't have the input x = -5 lead to y = 0 at the same time. Any input must lead to exactly one output only. So this rules out choice A as a possible answer.

Choice C and choice D are eliminated for similar reasons as well. This leaves choice B. We don't have x = 0 yet, so it is a valid possible input. We can pick any thing we want for x as long as its not already done so in the table.

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.

Let the number be 'x'.

The three times the number plus 7. Then the expression is given as,

⇒ 3x + 7

The number 'x' is decreased by 15. Then the expression is given as,

⇒ x - 15

Both expressions are equal to each other. Then we have

3x + 7 = x - 15

3x - x = - 15 - 7

2x = - 22

x = - 11

The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.

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