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4 years ago

7

A toy train car is 6 in. long. If a real train car is 75 ft long, which of the following have the same constant of proportionali

ty as the toy train car to the real train car?

1 answer:

Rus_ich [418]4 years ago

3 0

Answer:

use this

Step-by-step explanation:

velocity = distance / time…. So distance = velocity x time

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Does the table show a proportional relationship between x and y? Explain.

VashaNatasha [74]

Answer:

no

Step-by-step explanation:

if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.

4 0

3 years ago

. There are 575 students in a school. If the number of girls is 54 more than the boys

anzhelika [568]

<u>there </u><u>a</u><u>r</u><u>e</u><u> </u><u>3</u><u>1</u><u>4</u><u>.</u><u>5</u><u> </u><u>b</u><u>o</u><u>y</u><u>s</u><u> </u><u>in the school </u><u>.</u>

Answer:

Solution given

let boys be x and girls be y.

now

according to the question;

x+y=575

and

y=x-54

substituting value of y in equation 1.

x+x-54=575

2x=575+54

x=629/2

x=314.5

4 0

3 years ago

A submarine was diving at 77.1 feet per minute. Which number represents the position of the submarine in relation to the surface

klasskru [66]

First, Multiply 77.1 by 8 to find how many feet the submarine has dived.

77.1 × 8 = 616.8

Since the question is asking the submarines position "in relation to the surface," this number needs to be negated.

616.8 ⇒ -616.8

<h2>Answer:</h2>

<u>The submarine is at </u><u>-616.80 ft</u><u> in relation to the surface, so </u><u>option B</u><u> is correct.</u>

5 0

4 years ago

1+1=? (Also who tells the funniest joke will get brainliest)

Ganezh [65]

Answer: 2

Step-by-step explanation:

Addition was first discovered to be used by Egyptians and Babylonians around 2000 BC. Since that time, it has served as a type of backbone to our modern arithmetic system. Proving to be the first introduction to mathematics, addition not only provides simple insight to the complex beauty of math, it soon builds into more advanced topics, such as multiplication, differential calculus, and yes, rocket science.

5 0

3 years ago

Read 2 more answers

Let f(x) = -5x^6√x + -7/x³√x. What would f’(x) be? If anyone could show me step-by-step, I would greatly appreciate it! I’ve wor

Illusion [34]

Answer:

$f^{\prime}\left(x\right)\ =\ -\frac{65}{2}x^{\frac{11}{2}}\ +\frac{49}{2}x^{-\frac{9}{2}}$

or

$f^{\prime}\left(x\right)\ =\ -32.5x^{5.5}\ +\ 24.5x^{-4.5}$

Step-by-step explanation:

Rather than solving this question in a more complex method by directly using the product rule and quotient rule, it can first be considered to perform some algebraic manipulation (index laws) to simplify the expression before taking the derivative.

$\begin{large}\begin{array}{l}f\left(x\right)\ =\ -5x^6\ \sqrt{x}\ +\ \frac{-7}{x^3\ \sqrt{x}}\\\\f\left(x\right)\ =\ -5x^6\cdot x^{\frac{1}{2}}\ +\ \frac{-7}{x^3\cdot x^{\frac{1}{2}}}\\\\f\left(x\right)\ =\ -5x^{6\ +\ \frac{1}{2}}\ +\ \frac{-7}{x^{3\ +\ \frac{1}{2}}}\\\\f\left(x\right)\ =\ -5x^{\frac{13}{2}}\ +\ \frac{-7}{x^{\frac{7}{2}}}\\\\f\left(x\right)\ =\ -5x^{\frac{13}{2}}\ -7x^{-\frac{7}{2}}\end{array}$

Now, the derivative of the function can be calculated simply by only using the power rule, which yields

$\begin{large}\begin{array}{l}f\left(x\right)\ =\ -5x^{\frac{13}{2}}\ -7x^{-\frac{7}{2}}\\\\f^{\prime}\left(x\right)\ =\ \left(-5\right)\left(\frac{13}{2}\right)\left(x^{\frac{13}{2}\ -\ 1}\right)\ -\ \left(7\right)\left(-\frac{7}{2}\right)\left(x^{-\frac{7}{2}\ -\ 1}\right)\\\\f^{\prime}\left(x\right)\ =\ -\frac{65}{2}x^{\frac{11}{2}}\ +\frac{49}{2}x^{-\frac{9}{2}}\\\\f^{\prime}\left(x\right)\ =\ -32.5x^{5.5}\ +\ 24.5x^{-4.5}\end{array}\\\end{large}$

8 0

2 years ago