Duke is a part-time student at Horizon Community College. He currently has 22 credits, and he plans to take 6 credits per semester until he is finished.
Duke's friend Kila is also a student at the college. She has 4 credits and plans to take 12 credits per semester. After how many semesters will Duke and
Kila have the same number of credits?

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

Step-by-step explanation:

Hi! Nice to meet you and have a great day

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

y=-3x+4

dedont be suspicoes

A MOP TO CLEAN CULO

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Answer:

\(x=\frac{2}{3}\pm\frac{\sqrt{26}}{3}i\)

Step-by-step explanation:

\(3x^2+10=4x\\\\3x^2-4x+10=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}\\ \\x=\frac{4\pm\sqrt{16-120}}{6}\\ \\x=\frac{4\pm\sqrt{-104}}{6}\\ \\x=\frac{4\pm2\sqrt{26}i}{6}\\ \\x=\frac{4}{6}\pm\frac{2\sqrt{26}}{6}i\\\\x=\frac{2}{3}\pm\frac{\sqrt{26}}{3}i\)

120 children and 120 adults were admitted to the amusement park if the admission fee collected was $1980.00

The number of children and adults that entered the park can be calculated using linear equations.

Considering x to be the number of adults and y to be the number of children;

As 240 people entered the park, therefore;

x + y = 240

As the fee for children is $3.50 and for adults is $13, therefore;

13x + 3.50y = 1980

Determining the value of y in the first equation;

x + y = 240

y = 240 - x

Putting this value of y in the second equation;

13x + 3.50y = 1980

13x + 3.50(240 - x) = 1980

13x + 840 - 3.50x = 1980

9.5x = 1980 - 840

9.5x = 1140

x = 1140 / 9.5

x = 120

To determine the value of y, we Substitute this value of x in the first equation;

y = 240 - x

y = 240 - 120

y = 120

Hence, 120 children and 120 adults entered the park if the admission fee for children was $3.50 and for adults was $13.00

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Answer:

Below

Step-by-step explanation:

To complete the square, the leading x^2 coefficient needs to be = 1 , so factor out a 3 to get

y = 3 ( x^2 + 5/3x )   +3                (I assumed it was a + sign between the terms)

 Then take 1/2 of the 5/3   ( 5/6 )  , square it  (25/36) , add it to the parentheses.... then subtract the amount you added (3 * 25/36) by doing this.....  to have this :

y = 3 ( x^2 + 5/3 x + 25/36)  -   3 * 25/36   +3      then simplify to

y = 3 ( x + 5/6)^2  + 11/12               Done.

Answer:

The triangles are similar by SSS

because the first two sides which is 3•5+3•5 add up to 7

while the second sides which is 4+4 adds up to 8 so they are similar

Answer:

Ill be back let me solve it

Step-by-step explanation:

Answer:

Down below

Step-by-step explanation:

1 case = 4.35

3.5 cases bought total

4.35 * 3.5 = 15.225

Hope this helps! :)

Answer:

=512

Step-by-step explanation:

The graph is shown below.

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

Explanation:

Part A)

x² is the same as x^2

The function f(x) = 10x^2-10x is the same as y = 10x^2-10x

Compare this to the template y = ax^2+bx+c to find the following

The value of 'a' is positive, which means the parabola opens upward. Furthermore, it tells us that the graph has a lowest point. There is no highest point since both parts of the parabola go upward forever.

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

Part B)

We'll use the values of 'a' and b found earlier to get...

h = -b/(2a)

h = -(-10)/(2*10)

h = 10/20

h = 0.5

The min value therefore occurs when x = 0.5, which is the x coordinate of the vertex. The vertex being (h,k)

To find the value of k, we plug x = 0.5 into the original function.

y = 10x^2-10x

y = 10(0.5)^2-10*0.5

y = -2.5

This is the smallest the output y values can get. Therefore, it is the minimum value.

The vertex is located at (h,k) = (0.5, -2.5)

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

Part C)

With any quadratic function, the domain is "set of all real numbers". We don't have to worry about things like...

And so on.

The range is \(\text{y} \ge -2.5\) since we found y = -2.5 to be the smallest y value possible. See part B above. So either y = -2.5 or y > -2.5

Check out the graph below. I used GeoGebra to make it, but you could use Desmos or other similar graphing tools if you prefer.

The five-number summary for the given data is: min = 8, q1 = 10, median = 12, q3 = 19, max = 20.

To find the five-number summary, we need to arrange the data in ascending order: 8, 8, 9, 10, 10, 10, 11, 11, 13, 13, 13, 19, 19, 20, 20, 20.

1. Minimum (min): The smallest value in the data set is 8, which represents the minimum number of hours spent doing homework.

2. First quartile (q1): To find the first quartile, we take the median of the lower half of the data. In this case, the lower half is: 8, 8, 9, 10, 10, 10, 11, 11. The median of this lower half is 10, which is the first quartile (q1).

3. Median (q2): The median is the middle value of the data set when it is arranged in ascending order. In this case, the middle two values are 11 and 13. To find the median, we take the average of these two values: (11 + 13) / 2 = 12.

4. Third quartile (q3): Similar to finding q1, we take the median of the upper half of the data. The upper half is: 13, 13, 19, 19, 20, 20, 20. The median of this upper half is 19, which is the third quartile (q3).

5. Maximum (max): The largest value in the data set is 20, which represents the maximum number of hours spent doing homework.

Therefore, the five-number summary for the given data is: min = 8, q1 = 10, median = 12, q3 = 19, max = 20.

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Answer:

2y+4x=12

2*1+4*8=12

2+32=12

35=12

Answer:

Absolute value means the true value of the number without thinking about its sign so all of your answers would be the positive value so |-12| would be 12 and |12| would simply be 12

Step-by-step explanation:

Answer:

12 hope this helps:)

Step-by-step explanation:

12 is the answer

Answer:G i think sorry if wrong

Step-by-step explanation:

Answer:G

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you where to add up on the byesicle you would get 560 but if you multiply you would get 5,500

In 10 seconds Jamal travels 550 feet on his bicycle at this speed he can travel 3300 feet in 1 minute.

This can be solved with the help of unitary method:

In 10 seconds Jamal travels= 550 feet

In 1 second Jamal travels= 550/10 feet

In 1 minute or 60 seconds Jamal travels= 550/10×60=3300

So at the same speed Jamal can cover 3300 feet in 1 minute.

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Answer:so what is it 8 or 4 i need help send help for homework

Step-by-step explanation:

Answer:

The answer is x = -5.

Step-by-step explanation:

1) Subtract 2x from both sides.

\(4x + 9 - 2x = - 1\)

2) Simplify 4x + 9 - 2x to 2x + 9.

\(2x + 9 = - 1\)

3) Subtract 9 from both sides.

\(2x = - 1 - 9\)

4) Simplify - 1 - 9 to -10.

\(2x = - 10\)

5) Divide both sides by 2.

\(x = - \frac{10}{2} \)

6) Simplify 10/2 to 5.

\(x = - 5\)

Therefor, the answer is x = -5.

Answer:

8

Hope this answer is right!!

Explanation:

Given, a×b=a^b=2 ×3

=2^3

=8

So, the value of 2 ×3 =8.

The 95 confidence interval normal distribution  of the mean for μ = 13.0, s = 1.6, and n = 21 is 12.30 to 13.70.

The confidence interval is a range that covers a point estimate, like a sample mean, with a certain degree of uncertainty.The formula for Confidence Interval is as follows:Confidence interval = point estimate ± margin of errorThe formula for the margin of error is as follows:Margin of error = critical value x standard errorwhere x is the mean, s is the standard deviation, and n is the sample size.In this question, the point estimate is the sample mean, which is 13.0. The standard deviation is 1.6, and the sample size is 21.

Therefore, the standard error = s/√n=1.6/√21 = 0.35At a 95% confidence level, the critical value is 1.96.The confidence interval formula can be used to calculate the 95% confidence interval for the mean:Confidence interval = 13.0 ± 1.96(0.35)Therefore, the 95% confidence interval of the mean is [12.30, 13.70].

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Answer:

just think of this, The domain of a rational function consists of all the real numbers x except those for which the denominator is 0 . To find these x values to be excluded from the domain of a rational function, equate the denominator to zero and solve for x .

Answer:

360 g

Step-by-step explanation:

Amount of Salt = 2.5% x Amount of Mango

Taking 9 g as the amount of salt :

Answer:2216 feet

Step-by-step explanation:

Badwater Basin is below sea level, so already we know that the 284 should be a negative number since it is below sea level. Mount McKinley is above sea level, so that number stays as a positive number. Now we can put these two number into an equation to solve, which would be 2,500 + (-284).

Note that the parenthesis are only there so you know that the number is negative, you don't need to solve anything.

Since adding a negative to a positive number is the same as subtraction, we can simplify it to look a little less confusing. You only need to solve 2,500 - 284 , which then equals 2216 ft.

Hope this helps you!

The hypothesis which can be used to show whether data provide strong evidence or not are: \(H_{0}:p_{1}\)≠\(p_{2}\) and \(H_{1}:p_{1}=p_{2}\) where \(p_{1} and p_{2}\) are the proportions of Americans and chinese  people who use mobile phones to access internet.

Given proportion of Americans uses mobile phones is 17%. Proportion of chinese uses mobile phones is 38%.

Hypothesis are the statements which can be tested through its validity.  There can be  null hypothesis and alternate hypothesis.

The hypothesis which can be used are as under:

\(H_{0} :\)\(p_{1}\)≠\(p_{2}\)

\(H_{1}:p_{1} =p_{2}\)

We have used equal to signs because we have to check whether they are different or not.

We cannot check hypothesis as we don't have standard deviation.

Hence the hypothesis for this test are: \(H_{0} :p_{1}\)≠\(p_{2}\) and \(H_{1} :p_{1} =p_{2}\).

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Answer:

141 inch^2

Step-by-step explanation:

13×7= 91 for the rectangle

13-5=8

diameter of circle=8

radius=4

area if circle=4^2 times π

=16×π

=16π

16π+91=141.2654....

to the nearest whole= 141 inch^2 I think

The coefficient associated with CHILD is not significantly different from zero, since its p-value is greater than 0.10. The p-value for the CHILD coefficient is 0.208, which is greater than 0.10.

This means that we cannot reject the null hypothesis that the coefficient is equal to zero. Therefore, we cannot conclude that the coefficient is significantly different from zero.

The estimated value of the CHILD coefficient is -0.045, which means that a unit increase in the number of children per capita is associated with a decrease in GDP growth per capita by 0.045%. However, since the p-value is greater than 0.10, we cannot be confident that this decrease is real.

In other words, the data does not provide enough evidence to conclude that the number of children per capita has a significant impact on GDP growth per capita.

Here is a table of the p-values for the estimated coefficients:

Coefficient p-value

   BB         0.0004

 CHILD        0.208

As you can see, the p-value for the CHILD coefficient is much larger than the p-value for the BB coefficient. This means that there is much less evidence to suggest that the CHILD coefficient is significantly different from zero.

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Answer:

The volume of a rectangular solid is given by the formula:

V = l x w x h

where l, w, and h are the length, width, and height of the solid, respectively.

In this case, we are given the dimensions of the solid as:

l = 5 ft

w = 2 ft

h = 5 ft

Substituting these values into the formula, we get:

V = (5 ft) x (2 ft) x (5 ft) = 50 cubic feet

Therefore, the volume of the rectangular solid is 50 cubic feet.

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

If A is diagonalizable, then A is invertible.

This statement is false.

What is diagonalizable matrix?

If there is an invertible matrix P and a diagonal matrix D such that P^-1AP=D, or alternatively A=PDP^-1, then the square matrix A is said to be diagonalizable or non-defective in linear algebra.

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

In this case we can construct an invertible matrix P.

If A is diagonalizable, then A is invertible.

This statement is false.

It’s invertible if it doesn’t have a zero as eigen value but this doesn’t affect diagonalizabilty.

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Answer:

They were charged 300 minutes of phone calls.

Step-by-step explanation:

$30.35 was the monthly charge for this service provider. Subtract that from the $45.35 which would leave $15. $15 divided by $.05 = 300. 300 minutes is your answer.