Belfast Giants have played 5 matches and the mean number of goals scored is 3
When they play the 6th match, the mean increases to 4.

Answer:

B. <TSN and <ISW

C. <KSW and <NST

Answer:

D. ∠ISN and ∠TSW

Step-by-step explanation:

The meaning of vertical angles is each of the pairs of opposite angles made by two intersecting lines.

The angles ∠ISN and ∠TSW are made by two intersecting lines. This means that these angles are vertical angles.

Hope this helps!

If not, I am sorry.

Answer:

Step-by-step explanation:

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given that the equation is 25ˣ = 5ˣ²⁻³.

To solve the equation, take logs on both sides, we get,

x log(25) = (x²- 3)log5

2x log 5 = (x²- 3) log5

2x = x²-3

x²- 2x -3 = 0

Now, factorize the quadratic equation,

we get,

x² - 3x + x - 3 = 0

x(x- 3) + 1(x - 3) = 0

x = 3 or -1.

Therefore, x = 3 or x = -1.

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I insert an image graphing the function.

[tex] \boxed{ \boxed{g(x) \: = \: |x \: - \: 4| \: + \: 3}}[/tex]

The conclusions are:

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list

The median is the middle value in a list ordered from smallest to largest.

Given:

Data A:

0 - 10     4

10 - 20   13

20 - 30  19

30 - 40   8

40 - 50   5

50 - 60   1

Data B:

0-10  12

10-20  20

20-30  14

30-40  3

40-50  1

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The median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

The arithmetic mean is found by adding the numbers and dividing the sum by the number of data in the list.

The median is the middle value in a list ordered from smallest to largest.

Given data:

Data A:

0 - 10           4

10 - 20        13

20 - 30       19

30 - 40        8

40 - 50        5

50 - 60        1

Data B:

0-10           12

10-20        20

20-30        14

30-40         3

40-50         1

Thus, the median number of cars for both distributions lies in the 20–30 interval and there were more than 40 cars in line more often on the weekend then the weekday.

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Answer:

the two angles equal 180 degree

so 2x+2+5x+3=180

2x+5x+3+2=180

7x=180-5

7x/7=175/7

x=25

Step-by-step explanation:

hope I helped

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Answer: Hope this helps you.

Y = MX + 2

Step-by-step explanation:

Since you don't have a picture of the line I cant find the slope but with the info I know the equation is.

Y = MX + 2

(Replace M with the slope or post the graph so I can identify the slope)

Answer:

A - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{15} = \sqrt{5} *\sqrt{3} \\\frac{\sqrt{5} *\sqrt{3}}{3*\sqrt{3}} = \frac{\sqrt{5}}{3}[/tex]

Answer: √5/3

Step-by-step explanation:

Answer: 6 ft

Step-by-step explanation:

[tex]144\pi =\pi(r^{2})(4)\\\\144\pi=4\pi r^{2}\\\\36=r^{2}\\\\r=\boxed{6 \text{ ft}}[/tex]

Answer:

1) n = 5n - 7900

2) 1580

Step-by-step explanation:

first one you just set up an equation and second one you set up a different equation and solve for N ( I divided n by 5 to get the answer)

Answer:26

Step-by-step explanation:

The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

So, Length of the rectangular photograph = 24 cm

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore, Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width so that the inner and outer rectangles are similar = 23cm

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The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

Therefore, Length of the rectangular photograph = 24 cm and

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore,

Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width for the inner and outer rectangles are similar = 23cm

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Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

Answer:

Polygon 3 and polygon 4 are similar to polygon 1.

Step-by-step explanation:

I believe this is the answer from the looks of it. If it's not 3, then try 2. I know one of them is definitely 4 though. I hope this helps!!

Answer:

function

Step-by-step explanation:

The graph shows a function since it passes the vertical line test.

The probability of getting M from the word MATH placed in hat is 0.25.

Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.

P=  number of favorable outcomes / total number of outcomes of an event

A. The problem is the probability of finding A

B. The given are MATH i.e. {M,A,T,H}

C. the operation used will be selecting a word from hat of word MATH

D. the mathematical statement from the probability of finding  M will be

    P(getting M from word MATH)

E. the answer to the problem will be calculated as

    no. of element in the hat=4 i.e. {M,A,T,H}

    no. of favorable outcomes= 1 i.e. {A}

     P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes

⇒  P(getting A from word MATH) = 1/4

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Answer:

x=135°

Step-by-step explanation:

WZ is 180 degrees. Simply subtract 48 from 180.

180-45=135.

Hope this helps!

If not, I am sorry.

Answer:

The answer is 132

Step-by-step explanation:

For khan academy

Answer:

Distance between A and C = 16km

Bearing of A from C = 257°

Step-by-step explanation:

please see photo for detailed analysis

Answer:

B and D

Step-by-step explanation:

First take the equation and subtract 19 on both sides. You get x^2+8x-20=0

using the quadratic formula you get x= (-8 + or - root (8^2 -4(1)(-20)))/ 2(1)

simplify it and you get x= (-8 +or- 12) / 2  

Separate the equation into two and you get (-8 + 12) / 2    and (-8 - 12) / 2

first one gives: 4/2=2

second gives -20/2=-10

answer x=-10,2

Step-by-step explanation:

first a little help, how they got the equations :

in total they need 15 liters.

so, whatever x and y are, but together they must be 15 L.

x + y = 15

then, we are mixing x liters of 20% alcohol with y liters of 100% alcohol, that have to result in a 40% solution of (x+y) liters :

0.2x + y = 0.4(x+y)

we know from the first equation that x+y = 15, so the second equation is actually

0.2x + y = 0.4 × 15 = 6

so, we have

x + y = 15

0.2x + y = 6

do you notice something ? there is a "+ y" in both equations.

so we can actually subtract the second equation from the first, eliminate y and solve for the remaining x. and then use one of the original equating to get also y :

x + y = 15

- 0.2x + y = 6

---------------------

0.8x 0 = 9

0.8x = 9

x = 9/0.8 = 11.25 liters

x + y = 15

11.25 + y = 15

y = 15 - 11.25 = 3.75 liters

Answer:

a. 700

b. 1000

c. 80

d. 700

e.

Answer:

1.8 hrs

Step-by-step explanation:

1.2 hr = 20 km/hr

A hr = 30 km/hr

(cross multiply)

30 x 1.2 = 20 x A

(30 x 1.2) / 20 = A

on simplifying...

1.8 = A

Therefore, it takes 1.8 hrs to travel 30 km/hr

[this is totally my method]

Answer:

y = -x

Step-by-step explanation:

Breaking down the equation

[tex]y=e^x-x[/tex] can be written as [tex]y=e^x + (-x)[/tex], making it more clear that this function is composed of two functions:

asymptotes of the parts

The regular exponential function normally has an asymptote at y=0, a horizontal line because as "x" gets more and more negative, e^(x) gets closer and closer to zero (see blue graph).  This asymptotic behavior perhaps can be more easily understood by recognizing that [tex]e^{-x}[/tex] is equivalent to [tex]\dfrac{1}{e^x}[/tex], so that as the x values get more and more negative, it is effectively dividing 1 by a larger and larger number, thus getting closer and closer to zero.

In this situation, that exponential function is added to "-x", which is a linear function with a slope of negative 1.

As the left end of the exponential function gets closer and closer to zero, the exponential part contributes almost nothing to the sum, whereas as the "x" gets more and more negative, the linear function "-x" gets more and more positive (linearly).  Since the exponential piece adds almost nothing to it (when moving to the left), the combined function is essentially "-x" (although it is ever so slightly greater than it, just as it was ever so slightly greater than zero) (see pink graph, with dashed asymptote).

Clarifications

To be clear, on the right side of the graph, the exponential part of the function completely overwhelms the linear piece, and the function behaves much more like an exponential function, nearly completely masking the behavior of the linear piece.  Since an exponential function is unbounded, and the domain of both the exponential and linear functions are all real numbers, on the right side of the graph, there is no asymptotic behavior.

Answer:

219

Step-by-step explanation:

adulta 219×17=3723

5563-323=1840

1840÷10=184 kids

219+184=403

1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.

2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is

F - 490 N = (50.0 kg) (-4.9 m/s²)

where F is the magnitude of the force due to the scale. Solve for F to get

F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N

and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.

3. With the elevator in free fall, Newton's second law gives

F - 490 N = (50.0 kg) (-9.8 m/s²)   ⇒   F = 0 N

and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.

The product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

If [tex]A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]and [tex]B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex]

then,

BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]

BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex]

Hence, the product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y=-x-1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Taking two points : (-1 , 0) and (0 , -1)

[tex] \textsf{Calculate slope (m)} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 1)}{ - 1 - 0} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 + 1}{ - 1}[/tex]

[tex]\qquad \tt \rightarrow \: m = - 1[/tex]

[tex] \textsf{Y - intercept (c) of graph = -1 } [/tex]

Equation of line in slope - intercept form :

[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]

[tex]\qquad \tt \rightarrow \: y = - x - 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

1. 0

2. undefined

3. -3/2

Step-by-step explanation:

y=-3/2. This value is constant and the x does not change the value at all. so the coordinate are going to be (x, -3/2) so if we take any 2 values you're going to get (-3/2 - (-3/2)) / (x2 - x1) = (-3/2 + 3/2) / (x2 - x1) = (0) / (x2 - x1) which is always going to be 0.

x=-3/2. This value is also constant except the x-value does not vary at all so x2 and x1 are always going to be equal which will result in a 0 as the denominator thus making the slope undefined

y=-3/2x. it's just -3/2 given the slope-intercept form y=mx+b where m is the slope

Answer:

0 underfined 3

—

2

Step-by-step explanation:

SOLVING STEP.

the line y= 3 is parallel to the x-axis,

—

— 2

so the slope is 0

the line x= 3 is perpendicular to the x-axis,

—

— 2

so the slope is underfined

the slope of the line y= 3 x 3

—

— — 2.

2

thank me later

Answer:

d.

Step-by-step explanation:

The parent graph is shifted right 2 and down 2