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s344n2d4d5 [400]
3 years ago
9

joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is thw width, in met

ers, of the rug?
Mathematics
1 answer:
yuradex [85]3 years ago
5 0
The width pf the rug is 15 meters
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TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a c
Svetllana [295]

Let x be the number of MP3 players TechWiz sold last week.

If TechWiz sold in total 130 MP3 and DVD players, then it sold (130-x) DVD players.

1. TechWiz Electronics makes a profit of $35 for each MP3 player sold, then it makes a profit $35x for x MP3 players sold.

2. TechWiz Electronics makes a profit of  $18 for each DVD player sold , then it makes a profit $18(130-x) for (130-x) DVD players sold.

3. An expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is

35x+18(130-x).

You can simplify it:

35x+2,340-18x=17x+2,340

Answer: 35x+18(130-x) or 17x+2,340

8 0
3 years ago
Drag each sequence to show whether it is a linear function, an exponential function, or
Sergeu [11.5K]

Answer:

Step-by-step explanation:

From the picture attached,

Option A

From the given table,

Ratio of the 2nd value and 1st value = \frac{8}{4}=2

Ratio of 3rd value and 2nd value = \frac{16}{8}=2

There is a common ratio of 2.

Therefore, the given table will represent an exponential function.

Option B

Given recursive formula of the sequence is,

A_1=3

A_n=5.A_{n-1}

From this recursive formula sequence will be,

3, 15, 75, 375,.......

Therefore, it's an exponential function.

Option C

F_n=3n+17

Given function is in the form of a linear function (y = mx + b),

Therefore, it's a linear function.

Option D

From the given table,

Difference between 2nd value to the 1st value = 8 - 4 = 4

Difference between 3rd value to the 2nd value = 12 - 8 = 4

Therefore, there is a common difference of 4 in each successive term to the previous term.

Hence, the given table represents a linear function.

7 0
3 years ago
Read 2 more answers
How many hours a week do you have to work to make $5000 a month?
nasty-shy [4]
It depends on how much you earn in an hour .. so for example if your earn 100$ in 1 hour so you need to work for 50 hours in total because 5000 divided the amount of money you make in a single hour which is 100 in this example will be 50 hours in total .. to get the amount of hours you need to work a week you should know that the month has 4 weeks .. so 50 divided 4 equals 12.5 hours
7 0
3 years ago
The graph shows the functions f(x), p(x), and g(x):
Zinaida [17]
A) The solutions to this set of equation is where the graphs cross. They cross at point (-3, -2).

B) The solutions for f(x) would be points that fall on the graph of f(x). Two possible points are (-3, -2) and (-7, 3)

C) These 2 functions cross at (4, 1). That is the solution.
3 0
3 years ago
In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i
kati45 [8]

Answer:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: \rho =0

Alternative hypothesis: \rho \neq 0

The statistic to check the hypothesis is given by:

t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

4 0
3 years ago
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