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3 years ago

Determine the constant of Proportionality in the situation below

Mathematics

1 answer:

9966 [12]3 years ago

4 0

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

in this case, 10 video games cost $145

the question's basically asking what you have to multiply 10 by to get 145

y= 145; x=10

k= y/x = 145/10=14.5

the constant of proportionality is 14.5

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Stretch Your Thinking, Anton says 2,000+300+70+5 is the same as 23 hundreds + 7 tens + 5 ones. Is he correct? Explain (homework)

PSYCHO15rus [73]

Yes, because 23 hundreds is 23,000 and 7 tens is 70 and 5 ones is 5

7 0

3 years ago

Y is inversely proportional to x when y=7,x=9

Leni [432]

Answer:

Y = k/x for some fixed number constant k

7 = k/9

k = 63

so Y = 63/x

14 = 63/x

14 x = 63

x = 63/14 = 9/2

Step-by-step explanation:

not too hard ;)

6 0

3 years ago

Read 2 more answers

Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like.

stepladder [879]

The length of the curve $y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

$y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6

Start by differentiating the curve function

$y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x$

Evaluate

$y' = x(9x^2 + 6)^\frac 12$

The length of the curve is calculated using:

$L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx$

This gives

$L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx$

Expand

$L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx$

This gives

$L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx$

Express as a perfect square

$L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx$

Evaluate the exponent

$L =\int\limits^6_3 {3x^2 + 1} \ dx$

Differentiate

$L = x^3 + x|\limits^6_3$

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

#SPJ1

7 0

2 years ago

Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the add ends. Is she correct?

kati45 [8]

Answer:

Yes

Step-by-step explanation:

If you add two positive numbers, the sum will always be greater.

Ex: 5+5=10

If you add two negatives, the sum will always be greater.

Ex: -5+-5=10

6 0

3 years ago

Find the missing length indicated.

Andrews [41]

Answer:

Step-by-step explanation:

h²=65²-25²=4225-625=3600

h²=x*25

x=h²:25

x=3600:25

8 0

3 years ago