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2 years ago

Is 35 feet for every seven seconds equivalent to 7 feet for every second

Mathematics

2 answers:

xenn [34]2 years ago

5 0

No because 35/5 would be 7 seconds and 7*5 would 35 so there is a difference

grin007 [14]2 years ago

3 0

Answer:

Step-by-step explanation:

Basically, the statement is saying: 35 ft per 7 seconds. In math, the word per means there is a fraction involved, so per can be rewritten with a "/". So our fraction would be 35/7. This can be simplified to 5/1, which means 5 ft per second.

It would not be 7 feet for every second, it would be 5 feet for every second.

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How do I calculate this? Is there a formula?

alex41 [277]

Answer:

Height of cables = 23.75 meters

Step-by-step explanation:

We are given that the road is suspended from twin towers whose cables are parabolic in shape.

For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.

Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of $x = 600$ or $x = -600$ , and y at 95.

We know that the equation of a parabola is in the form $y=ax^2$ and here it passes through the point $(600, 95)$ .

$y=ax^2$

$95=a \times 600^2$

$a=\frac{95}{360000}$

$a=\frac{19}{72000}$

So new equation for parabola would be $y=\frac{19x^2}{72000}$ .

Now we have to find the height $(y)$ of the cable when $x= 300$ .

$y=\frac{19 (300)^2}{72000}$

y = 23.75 meters

8 0

3 years ago

Read 2 more answers

Victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that vict

scoray [572]

Answer:

$1545.65.

Step-by-step explanation:

We have been given that Victor has a credit card with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34.

To solve our given problem we will use compound interest formula.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

P = Principal amount,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given interest rate in decimal form. $13.66=\frac{13.66}{100}=0.1366$

Upon substituting our given values in compound interest formula we will get,

$A=1,349.34(1+\frac{0.1366}{12})^{12*1$

$A=1,349.34(1+0.011383333)^{12$

$A=1.349.34(1.011383333)$

$A=1,349.34*1.145485275522$

$A=1,545.64910167397$ ≈ $ $1545.65$

Therefore, Victor will owe an amount of $1545.65 after one year.

3 0

2 years ago

How to solve 1/4 - -4/3 - -1 2/9

Ahat [919]

Answer:

2 29/36

Step-by-step explanation:

So circle the two signs., so the problem is now this:

1/4+4/3+1 2/9

Then you find the GCM, or Greatest Common Denominator.

It is 36. Then, you re-write the new answers

9/36+ 48/36+ 1 18/36

Now we have this:

1 65/36

The answer is 2 29/36

8 0

2 years ago

Help me out, please-

olga_2 [115]

unfortunately i cannot

4 0

2 years ago

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi

romanna [79]

Answer: The p-value is 0.154.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis :

$H_0:\mu=20$

Alternate hypothesis :

$H_1:\mu$

Population mean = 20 hours

Sample mean = 18.5 hours

Sample standard deviation = 4.3 hours

Sample size n = 35

So, test statistic would be

$z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{18.5-20}{\dfrac{4.3}{\sqrt{35}}}\\\\z=\dfrac{-1.5}{0.726}\\\\z=-2.066$

So, the p value would be 0.154.

Hence, the p-value is 0.154.

4 0

3 years ago