Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

Answer:

you're scale is 1.6666667

Step-by-step explanation:

because if you do 30 decided by 18 it gives u 1.6666667

Answer:

B is the answer

Try all and see for yourself

Answer:

4x+20+2

4x+22

Step-by-step explanation:

4×x=4x then 4×5=20+2

Answer: 55, 720

This is the answer. No doubt about it

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

Step 1: Take L.C.M of the denominators

[tex]LCM = (n+3)(n-4)[/tex]

Step 2: Evaluate the fractions

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

Step 3: Open the brackets at the numerator

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

Step 4: Collect and evaluate like terms

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Follow the above steps, and you'll be able to solve your question.

Answer:

1.48 miles

Step-by-step explanation:

If the trail is 14.8 miles and Rita has hiked 1/10 of it. Then just multiply 14.8 by 1/10.

14.8 * 1/10 = 1.48 miles.

Answer:

1.48

Step-by-step explanation:

I know the answer is correct

Answer:

19

Step-by-step explanation:

The probability that a customer ordered a cold drink given that he or she ordered a large is 32%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

P(Small | Cold) = n(Small and Cold)/n(Cold)

From the table:

P(Small | Cold) = 8/(8 + 12 + 5)

P(Small | Cold) = 0.32

or

P(Small | Cold) = 32%

Thus, the probability that a customer ordered a cold drink given that he or she ordered a large is 32%.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer:

The third option with the decimal on top as a fraction

Answer:

C

Step-by-step explanation:

Think of the proportional relationship as algebra.

k*number of MovieTickets = Cost, where k is the constant of proportionality.

To find k, you can substitute values in the table and solve for k.

In this example:

k*5 = $28.75

k = $28.75/5

This answer is C.

Answer:

3(3+2b)

or

2b +9

Step-by-step explanation:

Answer:

Step-by-step explanation:

3b+5-9b-9+6b

=3b+6b-9b+5-9=-4

Answer:

yes what that guy said is right

Answer:

3 divided 5

Step-by-step explanation:

Edgar will get 3/5 or 0.6 part of pumpkin bread.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total numbers of people in Edgar's family = 5

Total number of pumpkin bread = 3

Since, 3 bread are divided equally among 5 people,

implies that, bread will divide in the same ratio,

5 people = 3 bread

1 people= 3/5 bread

1 people= 0.6 part of bread

So Edgar will get 3/5 or 0.6 part of bread.

To know more about Ratio on:

https://brainly.com/question/1504221

#SPJ3

Answer:

The slope of this equation is 11/2. The point is (1/2, 0)

Step-by-step explanation:

I hope this is the right answer, good luck!

Answer:

The bubble on the left should be 0.01.  The bubbles on the right should be: (top to bottom) 7, 0.1, 0.07, 0.004.

Step-by-step explanation:

You're just supposed to break the decimal into parts.  It like breaking 178 into hundreds, tens, and ones (100 + 70 + 8)

Answer:

11/4

29/6

32/5

Step-by-step explanation:

Answer: 11/4, 29/6, 32/5

Step-by-step explanation:

This is going to help trust me

X=22

14 plus 8 gives you x

[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:

35

Step-by-step explanation:

Answer: 2 (x+5)

Step-by-step explanation:

Answer:

x+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the point-slope formula [y-y1 =m(x-x1) ] with the given info

for the point P=(x1,y1) =(2,-2) and the slople m = -1/2

plug those into the formula

y-(-2)= -1/2(x-2)

y+2= -1/2x + 1

y= -1/2x+1 - 2

y = -1/2x - 1

:)  got it?  

these are hard untill you get the idea of the two formulas  

point-slope:         y-y1 = m(x-x1)  and

slope-intercept:   y= mx+b

memorizing those will help a lot

Answer:

for (f+g)(x): 7x + 3; x = -3/7

for (f-g)(x): -3x - 3; x = -1

Step-by-step explanation:

(f+g)(x) = (2x+7)+(5x-4)

Eliminate parentheses.

2x + 7 + 5x -4

Combine like terms.

7x + 3

If you are solving for x, move the 3 to the other side.

7x = -3.

Then divide each side by 7.

x = -3/7

(f-g)(x) = (2x+7) - (5x -4)

Distribute the negative.

(2x+7) + (-5x+4)

Eliminate parentheses.

2x + 7 - 5x - 4

Combine like terms.

-3x -3

If you are solving for x, move the -3 to the other side.

-3x = 3

Then divide each side by -3.

x = -1.

Answer:

Opposites of each other?

Step-by-step explanation:

I am not sure, the only thing that is not making them equal to each other is that they have opposite signs.

Answer:

The triangles are congruent

Step-by-step explanation:

Given

[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]

Required

Determine if PQR = XYZ

To do this, we make use of distance formula.

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For PQ:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]

So:

[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]

[tex]PQ = \sqrt{64+121}[/tex]

[tex]PQ = \sqrt{185}[/tex]

For XY:

[tex](x_1,y_1) = (-2,-1)[/tex]

[tex](x_2,y_2) = (9,7)[/tex]

So:

[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]

[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]

[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]

[tex]XY = \sqrt{121+64}[/tex]

[tex]XY = \sqrt{185}[/tex]

For QR:

[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]

[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]

[tex]QR = \sqrt{(3)^2 + 25}[/tex]

[tex]QR = \sqrt{9 + 25}[/tex]

[tex]QR = \sqrt{34}[/tex]

For YZ:

[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]

[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]

[tex]YZ = \sqrt{36+25}[/tex]

[tex]YZ = \sqrt{61}[/tex]

For PR:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]

[tex]PR = \sqrt{25+36}[/tex]

[tex]PR = \sqrt{61}[/tex]

For XZ:

[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]

[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]

[tex]XZ = \sqrt{5^2+3^2}[/tex]

[tex]XZ = \sqrt{34}[/tex]

From the calculations above:

[tex]PQ = XY = \sqrt{185[/tex]

[tex]QR = XZ = \sqrt{34[/tex]

[tex]PR = YZ = \sqrt{61[/tex]

Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)

Answer: B.12 years

Step-by-step explanation:

Answer:

D. Not factorable

Step-by-step explanation:

Answer:

L= 11m

W= 7m

Step-by-step explanation:

Step one:

given data

Let the width W= x

Length = (2x-3)

P= 36 m

Required

The perimeter

P= 2L+2W

36= 2(2x-3)+ 2x

36= 4x-6+2x

collect like terms

36+6= 6x

42= 6x

divide both side by 6

x= 7

the width is 7 m

the length = 2x-3= 2*7-3= 14-3= 11 m

Answer:

8

Step-by-step explanation:

2(20-8x)=5x-2

40-16x=5x-2

42=21x

x=2

HK=5x-2 = 5(2)-2 = 10-2 = 8

Answer:

No

Step-by-step explanation:

The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.

A function cannot have two y-values assigned to one x-values.

Answer:

 [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Step-by-step explanation:

Explanation

Given function f(r) = r² log r  ....(i)

Apply derivatives formula

              [tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]

             [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]

            [tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]

Differentiating equation (i) with respective to 'r' , we get

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]

Final answer:-                

               [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]