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sasho [114]
3 years ago
5

Evaluate the given function. f(x) = -6/7x+7, f( - 14)

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0
Answer:
133
Step-by-step explanation:
If f(-14), then it would be -9(-14) or -9 x -14.
-9 x -14 = 126.
All that is left is to add 7.
126 + 7 = 133
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500th term of 24,31,38,45,52
tensa zangetsu [6.8K]
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.

Therefore, the Nth term is 17 + 7N. 

For example, the first term is 17 + 7*1 = 17 + 7 = 24.

The second term is 17 + 7*2 = 17 + 14 = 31

etc...

And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
3 0
3 years ago
A rectangular prism has volume 4,800 cubic yards, length 20 yards, and height 40 yards. Find its width, in yards.​
Oksi-84 [34.3K]

Answer: 6 yards.

Step-by-step explanation:

First, multiply the length and the height to get 800. You know now that 800 times the width will be your volume, 4800. To find the width, divide the volume by 800, which is the length times the height. Check your work by doing 40 times 20 times 6. You get 4800, which is your volume, which means your correct!

8 0
3 years ago
Please HELP!! ILL GIVE BRAINLEST! QUCIK PLEASE HELP!!
Elena-2011 [213]

Answer:

d. linear; $25/hour

Step-by-step explanation:

From looking at the graph, we have that renting for 2 hours costs $50, for 4 hours costs $100, for 6 hours costs $150, and for 8 hours costs $200. To find out whether the quantities described in the table are linear, we have to see if there is a constant rate of change of price.

For hour 2 to hour 4, we can see that the price increases by $50. This is the same for hour 4 to hour 6 and hour 6 to hour 8. For every 2 hour time interval, the price increases by $50. Therefore, there is a constant rate of change and the quantities described in the table are linear.

Now we have to find the constant rate of change per hour. We know that the price increases by $50 every 2 hours, so, by dividing both the hours and price increase by 2, the price increases by $25 per hour. So the constant rate of change is $25/hour.

Linear. $25/hour

Answer choice d.

I hope you find my answer and explanation to be helpful. Happy studying.

6 0
3 years ago
What is the value of x
il63 [147K]

the 2 angles are congruent so...

x+40=3x    set the 2 equations equal to each other

40=2x      subtract x from both sides

20=x     divide by 2

x=20 is the final answer

Have a blessed day!


5 0
3 years ago
Read 2 more answers
A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic
Ket [755]

Answer:

t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601  

P-value  

First we find the degrees of freedom given by:

df = n-1= 54-1=53

Since is a two-sided test the p value would be:  

p_v =2*P(t_{53}>0.9601)=0.3414  

Step-by-step explanation:

Data given and notation  

\bar X=5.25 represent the sample mean

s=3.98 represent the sample standard deviation

n=54 sample size  

\mu_o =4.73 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean differs from 4.73, the system of hypothesis would be:  

Null hypothesis:\mu =4.73  

Alternative hypothesis:\mu \neq 4.73  

Since we know don't the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601  

P-value  

First we find the degrees of freedom given by:

df = n-1= 54-1=53

Since is a two-sided test the p value would be:  

p_v =2*P(t_{53}>0.9601)=0.3414  

7 0
3 years ago
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