Simon and Mike are brothers
and are in charge of
walking their dog Buster. Mike walks the dog
every 3 days and Simon walks the dog every 4
days. On what day will they end up walking Buster
together?

Using the combination formula, it is found that there are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.

The order in which the cards are handed to each player is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

[tex]T = C_{48,5} \times C_{43,5} \times C_{38,5} \tims C_{33,5} \times C_{28,5} \times C_{23,5}[/tex]

[tex]6.4 \times 10^{32}[/tex]

There are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.

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Answer:

y=-9/2, x=7

Step-by-step explanation:

You can solve this via substitution. First solve for x in terms of y in one of the equations given. Lets use the first one:

25+4y=x

Now plug 25+4y in for x in the second equation

3(25+4y)-2y=30

75+12y-2y=30

75+10y=30

10y=-45

y=-9/2

Plug this into the first equation:

25-x=-4(-9/2)

25-x=18

x=7

A = 45 inches!

11 + 7 = 18

12 + 5 = 17

6 + 4 = 10

18 + 17 = 35

35 + 10 = 45

Answer:

34

Step-by-step explanation:

to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly

=> 10 - 4 = 6

increasing by 6

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22-

22 + 6 = 28

28 + 6 = 34

6th term = 34

Explanation:

The notation [tex]T(x, y) = (x+6, y-4)[/tex] tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.

An equivalent notation would be to write [tex](x,y) \to (x+6, y-4)[/tex]

Point P has the x coordinate of -9. Adding on 6 gets us the new x coordinate of -9+6 = -3

It also has the y coordinate of -2. Subtract off 4 to get -2-4 = -6

So,

[tex](x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)[/tex]

Answer:

P' (- 3, - 6 )

Step-by-step explanation:

the translation

(x, y ) → (x + 6, y - 4 )

means add 6 to the x- coordinate and subtract 4 from the y- coordinate , so

P (- 9, - 2 )  → P' (- 9 + 6, - 2 - 4 ) → P' (- 3, - 6 )

Answer:

8.275

Step-by-step explanation:

8.280 - 8.270 = 0.010

0.010/2 = 0.005

8.270 + 0.005 = 8.275

The context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance.

It should be noted that context clues are the hints that are given in a literary work to help readers understand a story.

In this case, the context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance. This was achieved through commercial penetration.

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Answer:

x° = 45°

y° = 90°

z° = 45°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ z° + 135° = 180°

⇒ z° = 180° - 135°

⇒ z° = 45°

The dashes on the side lengths mean that the sides are of equal length.  Therefore this is an isosceles triangle.  The base angles of an isosceles triangle are equal.

⇒ x° = z°

⇒ x° = 45°

The sum of the interior angles of a triangle is 180°

⇒ x° + y° + z° = 180°

⇒ 45° + y° + 45° = 180°

⇒ y° = 180° - 45° - 45°

⇒ y° = 90°

Answer:

1.97596 miles

simplified

1.976 miles

Answer:

8580 yards

Step-by-step explanation:

[tex]4 \frac{7}{8}miles \times 1760 \frac{yards}{mile} = 8580yards[/tex]

The total will the friend's paddle combined is 51480 yards.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

The Great Adventures Canoe and Kayak company offers 3 different options as shown in the table.

This afternoon a group of  6 friends is paddling the Adventure Mid Trip in individual kayaks.

The totals will the friends paddle combined is;

[tex]\rm = 4\dfrac{7}{8} \times 6\\\\=\dfrac{4\times 8+7}{8}\times 6\\\\=\dfrac{32+7}{8} \times 6\\\\ =\dfrac{39}{8} \times 6 \\\\=\dfrac{234}{8}\\\\= 29.25[/tex]

Here 1 mile = 1760 yards

The totals will the friends paddle combined is;

[tex]= 29.25 \times 1760\\\\=51480[/tex]

Hence, The total will the friend's paddle combined is 51480 yards.

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Answer:

The axis of symmetry is simply 0

Step-by-step explanation:

When you enter that equation on the graph the axis of symmetary is the line that goes straight throught the middle of it.

I inserted an image so you could understand a littler better. Hope this helps!

The axis of symmetry of the quadratic equation y = 2x^2 + 3 is x = 0

The equation is given as:

y = 2x^2 + 3

Differentiate the above equation with respect to x

y' = 4x + 0

This gives

y' = 4x

Set the equation to 0

4x = 0

Divide both sides by 4

x = 0

Hence, the axis of symmetry is x = 0

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Answer:

0,(037)

Step-by-step explanation:

At this question, if I understood correctly, the answer for that is 0,037037037037...

You can write it as 0,(037)

I hope that I helped :)

The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.

A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.

Chi squared = [tex]\frac{(O_{i} - E_{i} )^{2} }{E_{i} }[/tex]

Where:

The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.

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Answer: C

Step-by-step explanation: Black shade will be 13/16 . That isn't fair at all. It has more Black

Answer:

y = 3x + 13

Step-by-step explanation:

The equation of a line is also known as slope-intercept form.

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

To put an equation in slope-intercept form, we need the slop and the y-intercept.

In this case, we already have the slope which is 3.

So far, we have y = 3x + b

Now, we need to find the y-intercept.

Since you already have a point, we can plug in the x and y values from the point, into the equation.

10 = 3(-1) + b

Now, we can solve for b.

10 = -3 + b

Add three on both sides so it becomes:

13 = b

13 is the y-intercept

y = 3x + 13

Answer:

[tex]x=\dfrac{1}{2} \pi, \dfrac{3}{2} \pi \quad \textsf{in the interval}\:[0,2 \pi)[/tex]

Step-by-step explanation:

Rewrite the given equation so that it equals zero, using the trig identity:

[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]

[tex]\begin{aligned}\sin(2x) & =2\cos(x)\\\sin(2x)-2\cos(x) & =0\\2\sin(x)\cos(x)-2\cos(x) & =0\\2\cos(x)[sin(x)-1] & =0\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Therefore}:\quad 2\cos(x) & =0\\\cos(x) & =0\\x & =\dfrac{1}{2} \pi \pm 2 \pi n, \dfrac{3}{2} \pi \pm 2 \pi n\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Therefore}:\quad \sin(x)-1 & =0\\\sin(x) & =1\\x & =\dfrac{1}{2} \pi \pm 2 \pi n\end{aligned}[/tex]

[tex]\implies x=\dfrac{1}{2} \pi, \dfrac{3}{2} \pi \quad \textsf{in the interval}\:[0,2 \pi)[/tex]

An equation is formed of two equal expressions. The value of x for which the sin(2x) = 2cos(x) will have solution in the interval [0, 2π) is (π/2) and (3π/2).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be rewritten as,

sin(2x) = 2 cos(x)

2 sin(x) cos(x) = 2 cos(x)

2 sin(x) cos(x) - 2 cos(x) = 0

Taking 2cos(x) as common,

2 cos(x) [sin(x) - 1] = 0

Now, the two factors can be written as,

cos(x) = 0

x = (π/2)±2πn, (3π/2)±2πn

sin(x) - 1 = 0

sin(x) = 1

x = (π/2)±2πn

Hence, the value of x for which the sin(2x) = 2cos(x) will have solution in the interval [0, 2π) is (π/2) and (3π/2).

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Answer:

b-2a

Step-by-step explanation:

this is beacuse when u find the slope u look in the chart and divide the numbers and will give u the sum of 2

8/4

8/12

12/16

Answer:

b=a+4

Step-by-step explanation:

Its a 58 streak now :)

Answer:

32%

Step-by-step explanation:

In order to find the percent of the cost of the cell phone has Jackie saved,

See below how it's done:

[tex] \dfrac{56}{175} \times 100[/tex]

dividing yields:

[tex] 0.32 \times 100[/tex]

multiplying yields:

[tex]32\%[/tex]

Alternative:

Instead of dividing,we can consider reducing the fraction and multiply that with 100 to get the answer.

[tex] \dfrac{56}{175} \times 100 \\ \implies \frac{8}{25} \times 100 \\ \implies 8 \times 4 \\ \implies \boxed{32\%}[/tex]

In conclusion:

Jackie has saved 32% of the cost of the cell phone

Answer:

11.

Step-by-step explanation:

Lower quartile = (12 + 8) /2 = 10

Upper quatrile  = (20+22)/2 = 21

Interquartile range = 21-10 = 11,

The function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

We can use the fact that:

[tex]\sin(\theta) = \cos(\pi/2 - \theta)\\\sin(\theta + \pi/2) = -\cos(\theta)\\\cos(\theta + \pi/2) = \sin(\theta)[/tex]

to convert the sine to cosine.

(this all positive negative refers to the fact that if you use given angle as input to these functions, then what sign will these functions will evaluate based on in which quadrant does the given angle lies.)

Here, the given function is:

[tex]y= 3\cos(2(x + \pi/2)) - 2[/tex]

The options are:

Checking all the options one by one:

[tex]y= 3\sin(2(x + \pi/4)) - 2\\y= 3\sin (2x + \pi/2) -2\\y = -3\cos(2x) -2\\y = 3\cos(2x + \pi) -2\\y = 3\cos(2(x+ \pi/2)) -2[/tex]

(the last second step was the use of the fact that cos flips its sign after pi radian increment in its input)
Thus, this option is same as the given function.

This option if would be true, then from option 1 and this option, we'd get:
[tex]-3\sin(2(x + \pi/4)) - 2= -3\sin(2(x + \pi/4)) - 2\\2(3\sin(2(x + \pi/4))) = 0\\\sin(2(x + \pi/4) = 0[/tex]

which isn't true for all values of x.

Thus, this option is not same as the given function.

The given function is [tex]y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2[/tex]

This option's function simplifies as:

[tex]y= 3\cos(2(x + \pi/4)) - 2 = 3\cos(2x + \pi/2) -2 = -3\sin(2x) - 2[/tex]

Thus, this option isn't true since [tex]\sin(2x) \neq \cos(2x)[/tex] always (they are equal for some values of x but not for all).

The given function simplifies to:[tex]y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2[/tex]

The given option simplifies to:

[tex]y= -3\cos(2(x + \pi/2)) - 2 = -3\cos(2x + \pi ) -2\\y = 3\cos(2x) -2[/tex]

Thus, this function is not same as the given function.

Thus, the function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

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Answer:

a

Step-by-step explanation:

Answer:

0.00743494

Step-by-step explanation:

1.) First start by writing down your equations.

It should look like this: 3.5/470.75

2.) Next you want to move the decimal place equally on both sides.

It should look like this: .00350 divided by .47075

3.) Lastly solve by seeing how many times 47075 goes into 3.5 which results in 0.00743494

Answer: Is your question "What is the length of each side?"

Let x = the length of the second side

Let x - 5 = the length of the first side

Let (x - 5) - 2 = the length of the third side

P = a + b + c

x + x - 5 + x - 7 = 42

3x - 12 = 42

3x = 54

x = 18 yards

x - 5 = 13 yards

x - 7 = 11 yards

Step-by-step explanation:

Answer:

The answer is D or 180 degrees

Thank you Consider brainliest <3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

1/4 is the same thing as 25%

25% of 2 2/3 is 2/3

You can also divide 2 2/3 by 4.

Answer:

0.2248307402

Step-by-step explanation:

Let 'success', p = 0.16,

and 'failure', q = 1 - 0.16 = 0.84

and the number of trials, n = 7

r = 2

[tex]P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} \\ P(X = 2) = \binom{7}{2} {(0.16)}^{2} {0.84}^{5 - 2} \\ = 0.2248307402[/tex]

Answer:

3.65 ≤ x < 3.75

Step-by-step explanation:

We are finding the lower and upper bounds:

The lowest possible number that can be rounded to 3.7 is 3.65 as the 5 makes the 6 go next.

The maximum possible number to 2 d.p that will be 3.74 as the 4 keeps it at 3.7.

But someone can say 3.749 is a bigger number that 3.74 that will get rounded to 3.7

Someone else can argue with 3.7499.

So to solve this argumnet we put 3.75 but we don't include it.

Therefore our final answer is :

3.65 ≤ x < 3.75

Hope this helped and branliest please.

Answer:

10

Step-by-step explanation:

-(-17)=17-7=10

Answer:

x = -119/16

Step-by-step explanation:

x/-17 = -x-7

x/-17 + x = -x-7+x

SIMPLIFY

16x/17 = -7

so x= -119/16

(I TRIED TO SOLVE THIS HOPE THIS HELPS).

Answer:

124.8

Step-by-step explanation:

Answer: $130

Step-by-step explanation:

60% = 78

1% = 78/ 60

100% = 78/60 ×100

Discount is 40% = $52