Brad, a teenager, saves up his monthly allowance over a period of six months to buy a
pair of high-resolution headphones. He lends his friend, Jorge $10 from his savings. If
Brad has $272 now, calculate his monthly allowance.
I

Answer:

the answer is 24 hope this helped

Step-by-step explanation:

If the swim team worked out for 8 hours last week, 6 of those hours were spent in the pool.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, In order to prepare for swim meets, the Red Ravens Swim Team practices for several hours each week. They practice in the water for three times as long as they practice in the gym.

Since the waiting time is three times as in pool times

Let "t" be the time in the pool during practice

thus, Waiting time =  3t

Also given,  the swim team practiced 8 hours total last week

So,

t + 3t = 8

t = 2

Thus, time spent in the pool = 3t = 3*2 = 6

therefore, If the swim team practiced 8 hours total last week, 6 hours they spend in the pool.

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Answer:

For a given confidence level, t* is never smaller than z*.

Step-by-step explanation:

t* and z* are the critical value of a confidence interval.  For example, at 95% confidence, z* = 1.96.  This is because 95% of a normal curve is within ±1.96 standard deviations.

A student's t distribution has the same bell-curve shape as a normal distribution, but is shorter and wider, which is why t* is always larger than z*.  As the sample size increases to infinity, the distribution approaches normal.

Answer:

(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B) Saturday has the highest percentage of traffic accidents.

Step-by-step explanation:

(A)

The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.

The hypothesis for the test can be defined as follows:

H₀: The proportion of traffic accidents is the same for each day of the week.

Hₐ: The proportion of traffic accidents is not same for each day of the week.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

Compute the values in Excel.

The expected frequency for all the days is 60.

The Chi-square test statistic value is, 14.333.

Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".

p-value = 0.0262

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value is less than 0.05.

The null hypothesis will be rejected.

Conclusion:

There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B)

Compute the percentage of traffic accidents occurring on each day of the week as follows:

[tex]\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%[/tex]

Saturday has the highest percentage of traffic accidents.

Answer:

1/36

Step-by-step explanation:

6*36+216 inches

216/12(converting into feet)=18

therefore, it is 1/36 scale

Answer:

Step-by-step explanation:

If the given variables are 127 hours of sleep per week for a Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine which animal gets the most sleep, first multiply the total hours of sleep of each animal per week to the total number of weeks In a year, which is 52. Once you get the answers, which are 6,604 hours of sleep in a year for the Giant Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604 and 5,096 together to get the answer, which is 1,508. Therefore we conclude that that the Giant Armadillo has 1,508 hours more hours of sleep than a Platypus in a Year.

Answer:

1508 hour I think !!!!!!!!!!

Given:

Right triangle A: Base = 2 inches and Height = 7 inches.

Right triangle B: Base = 10 inches and Height = 35 inches.

To find:

The scale factor applied to Right triangle A to produce Right triangle B.​

Solution:

We have,

Base of right triangle A = 2 inches

Base of right triangle B = 10 inches

Now,

[tex]\text{Scale factor}=\dfrac{\text{Side of right triangle B}}{\text{Corresponding side of right triangle A }}[/tex]

[tex]Scale\text{Scale factor}=\dfrac{\text{Base of right triangle B}}{\text{Base of right triangle A }}[/tex]

[tex]\text{Scale factor}=\dfrac{10}{2}[/tex]

[tex]\text{Scale factor}=5[/tex]

Therefore, the scale factor of 5 applied to Right triangle A to produce Right triangle B.​

Answer:

Step-by-step explanation:

This sequence is adding 5 so

17 22 27 32 37 42 47 52 57 62 67 72 77 82 87 92 97 102 107 112 117 122 127 132 137 = 1925

Answer: The sum of the first 25 terms of this arithmetic sequence is 1925.

Explanation: This sequence, beginning at 17, increases by 5 per term. By simply adding 5 to the preceding term in the sequence, you can find the next term. The first term is 17, and the last term is 137. This means the list of terms is 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, and 137. The sum of these terms is 1925.

Answer:

[tex]x = \frac{68}{27}[/tex]

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

1) b= -20

Step-by-step explanation:

You bring the variable you want to find to one side by either bringing over the second term to the other side of the equation and change its sign or if it's a fraction you multiply both sides to remove the denominator and then solve

Answer:

-8

thats the answerr im sure

Answer:

The answer is -8.

Try maybe working it out or using a calculator.

Answer:

-8

Step-by-step explanation:

4x2=8

change to negative since a negative times a positive is a negative

-8

Answer: -8

Step-by-step explanation: -4* 2= -8

Answer:

11x+15

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They are being multiplied by 2 each time.

The value of the function is given by y = 2x

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the x values be represented as x = { 1 , 2 , 4 , 8 , 16 }

Let the y values be represented as y = { 2 , 4 , 8 , 16 , 32 }

Now , the values of y are changing over the interval as

when multiplied by 2 , we get

2 = 2 x 1

4 = 2 x 2

8 = 2 x 4

16 = 2 x 8

32 = 2 x 16

Therefore , the values are multiplied by 2

Hence , the function is y = 2x

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Answer:

552,299

500,000

 50,000

500,000 is 10 times greater than 50,000

50,000 is 10 times less than 500,000

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

1.) 8 x 8 =64

2.) 12 + 64 =76

Answer: it is 76 cm long and the equation is 8x8+12= length of hair after 8 years.

Step-by-step explanation:

The hair grows 8 cm a year and it has been 8 years so we get 8x8. Then the last time he cut his hair it was 12 inches so we have to add that and yeah...

Work Shown:

f(x) = -(2x-1)^2 - 2

f(-3) = -(2*(-3)-1)^2 - 2 ... replace every x with -3

f(-3) = -(-6-1)^2 - 2

f(-3) = -(-7)^2 - 2

f(-3) = -49 - 2

f(-3) = -51

Answer:

y= -5x/2+17/2.... (x is between -5/2)

slope intercept= mx+b

y= -5x/2+17/2

Step-by-step explanation:

The equation of line in slope intercept form which passes through the points (3,1) and (5,-4) is [tex]-\frac{5}{2} x+\frac{17}{2}[/tex] .

The equation of line in the form of [tex]y = mx + b[/tex], is called slope intercept form of a line.

The equation of line from two points is given by

[tex]y -y_{1} = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } (x-x_{1} )[/tex]

According to the given question

We have two points (3,1) and (5, -4)

Therefore, the equation of line which passes through the points (3,1) and (5, -4) is given by

[tex](y -1)=\frac{-4-1}{5-3} (x-3)[/tex]

⇒[tex](y-1)=\frac{-5}{2}(x-3)[/tex]

⇒[tex]y -1=\frac{-5}{2}x+\frac{15}{2}[/tex]

⇒[tex]y =-\frac{5}{2} x+\frac{15}{2} +1[/tex]

⇒[tex]y = -\frac{5}{2}x+\frac{17}{2}[/tex]

Hence, the equation of line in slope intercept form which passes through the points (3,1) and (5,-4) is [tex]-\frac{5}{2} x+\frac{17}{2}[/tex] .

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Answer:

[tex]\huge\boxed{\$1757.50}[/tex]

Step-by-step explanation:

In order to find a 5% discount off $1850, we have to realize 100% of something is the whole thing.

This means that a 5% discount makes the new cost [tex]100-5=95[/tex]% of the original.

To find 95% of a number, we can convert 95% into a decimal and multiply it by 1850.

When converting a percent to a decimal, we always divide the percent by 100.

[tex]95 \div 100 = 0.95[/tex]

We can now multiply 1850 by 0.95.

[tex]1850 \cdot 0.95 = 1757.50[/tex]

So the buyer only pats $1757.50.

Hope this helped!

Answer: 2/3

i think 3 divided by 2/3

Step-by-step explanation:

do u have a diagram for this?

Answer: 0.71428 or 5:7 or 5/7

Step-by-step explanation: just divide on a calculator

Answer:

The answer would be  8 1/3!

Step-by-step explanation:

This is because when you multiply you would convert 2 1/12 to an improper fraction of 25/12 and multiply it by 4/1 to get 100/12 which equals 8 with a remainder of 4/12 simplified to 1/3 so your answer is 8 1/3!

HOPE THIS HELPS!!

Answer:

3 ratios that are equivelent to 4 : 3

8 : 6

20 : 15

and 12 : 9

Step-by-step explanation:

Step-by-step explanation:

d uahsizagxuxbsixvaixbx akbxoa soxnaox aoxk. is. os xia xida

Answer:

a

   [tex]y(t) = y_o e^{\beta t}[/tex]

b

      [tex]x(t) =  x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }[/tex]

c

      [tex]\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }[/tex]

Step-by-step explanation:

From the question we are told that

    [tex]\frac{dy}{y} =  -\beta dt[/tex]

Now integrating both sides

     [tex]ln y  =  \beta t + c[/tex]

Now taking the exponent of both sides

       [tex]y(t) =  e^{\beta t + c}[/tex]

=>     [tex]y(t) =  e^{\beta t} e^c[/tex]

Let  [tex]e^c =  C[/tex]

So

      [tex]y(t) = C e^{\beta t}[/tex]

Now  from the question we are told that

      [tex]y(0) =  y_o[/tex]

Hence

        [tex]y(0) = y_o  = Ce^{\beta * 0}[/tex]

=>     [tex]y_o = C[/tex]

So

        [tex]y(t) = y_o e^{\beta t}[/tex]

From the question we are told that

      [tex]\frac{dx}{dt}  = -\alpha xy[/tex]

substituting for y

      [tex]\frac{dx}{dt}  = - \alpha x(y_o e^{-\beta t })[/tex]

=>   [tex]\frac{dx}{x}  = -\alpha y_oe^{-\beta t} dt[/tex]

Now integrating both sides

         [tex]lnx = \alpha \frac{y_o}{\beta } e^{-\beta t} + c[/tex]

Now taking the exponent of both sides

        [tex]x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} + c}[/tex]

=>     [tex]x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} } e^c[/tex]

Let  [tex]e^c  =  A[/tex]

=>  [tex]x(t) =K e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }[/tex]

Now  from the question we are told that

      [tex]x(0) =  x_o[/tex]

So  

      [tex]x(0)=x_o =K e^{\alpha \frac{y_o}{\beta } e^{-\beta * 0} }[/tex]

=>    [tex]x_o = K e^{\frac {\alpha y_o  }{\beta } }[/tex]

divide both side  by    [tex] (K * x_o)[/tex]

=>    [tex]K = x_o e^{\frac {\alpha y_o  }{\beta } }[/tex]

So

    [tex]x(t) =x_o e^{\frac {-\alpha y_o  }{\beta } } *  e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }[/tex]

=>   [tex]x(t)= x_o e^{\frac{-\alpha * y_o }{\beta} + \frac{\alpha y_o}{\beta } e^{-\beta t} }[/tex]

=>    [tex]x(t) =  x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }[/tex]

Generally as  t tends to infinity ,  [tex]e^{- \beta t}[/tex] tends to zero  

so

    [tex]\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }[/tex]

Answer:

I think that it is already in lowest terms

Step-by-step explanation:

Answer:

Answer:

This shows 3 pivot position matrixes.

Step-by-step explanation:

The given matrix is:  

[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right][/tex]

The option D is correct for this matrix.

The matrix is invertible and the given matrix has 3 pivot positions.

The matrix is invertible if its determinant is nonzero.

Multiply the 3rd row by 1/3.we get:

[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]

Now, add the first row with third row:

[tex]\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]

Replace third row by first row:

[tex]\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right][/tex]

This shows 3 pivot position matrixes.

Hence, a matrix is invertible and has 3 pivot positions.

Answer:

3

Step-by-step explanation:

Trust meh