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3 years ago

Can someone describe constant of proportionality pls

Mathematics

1 answer:

Luden [163]3 years ago

6 0

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Step-by-step explanation:

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A pizza costs $18. a soda costs $2.50 . Tax is 10%. What is the total spent

horrorfan [7]

18+2.50=20.50 so tax is 10% so you can put that into a calculator as 20.50*0.10 which equals 2.05 so just add 20.50 and 2.05 which is 22.55 is your final answer

6 0

3 years ago

What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90

Sholpan [36]

Answer: 15

Step-by-step explanation:

(r+1)th term of $(a+b)^n$ is given by:-

$T_{r+1}=\ ^nC_r(a)^{n-r}b^r$

For $(a+b)^6$ , n= 6

$T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\$

$=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2$

Hence, the coefficient of the third term in the binomial expansion of $(a+b)^6$ is 15.

3 0

3 years ago

Read 2 more answers

I need help on this aswell

Katena32 [7]

Answer:

Graph C

Step-by-step explanation:

Hi there!

The given linear equations are organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept, or the value of y when the line crosses the y-axis.

y = 2x + 4

Here, the b value is 4. Therefore, the y-intercept of this line is 4.

y = -3x - 2

Here, the b value is -2. Therefore, the y-intercept of this line is -2.

To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.

The only graph that does this is graph C.

I hope this helps!

8 0

2 years ago

Which line is perpendicular to y= -3/4x+ 2 if the line passes through the point (3,5)?

iren2701 [21]

Answer:jjdvdudbufh f

Step-by-step explanation:

6 0

3 years ago

What’s -3 1/9 — (-5 5/9)

Svetradugi [14.3K]

-28/9-(-5 5/9)
-28/9-(50/9)
-28/9-50/9
22/9
= 2 4/9= 2.444444
hope this helps!

7 0

3 years ago

Read 2 more answers