All categories

3 years ago

Please answer with correct answers thank you... 6-7

Mathematics

1 answer:

sineoko [7]3 years ago

6 0

Answer:

6. 300/4 feet per hour or feet/hour

7. 90/10 feet per second or feet/sec

Try simplifying the fractions though.

Step-by-step explanation:

average rate of change just means the change in distance per the change in time (per meaning divided by). what is the change in distance? 700-400 = 300. change in time is 6-2 = 4 hours. so 300/4

Same thing, change in distance is 100 - 10 feet and change in time is 40-30 seconds so the average rate of change is 90/10 feet per second

You might be interested in

What is the equation of the line that passes through (−3,5) and has a slope of −2?

Tatiana [17]

Answer:

y-5=-2(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

m=-2

y-5=-2(x-(-3))

y-5=-2(x+3)

5 0

2 years ago

Dy/dx = 2xy^2 and y(-1) = 2 find y(2)

Anarel [89]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2887301

—————

Solve the initial value problem:

dy
——— = 2xy², y = 2, when x = – 1.
dx

Separate the variables in the equation above:

$\mathsf{\dfrac{dy}{y^2}=2x\,dx}\\\\
\mathsf{y^{-2}\,dy=2x\,dx}$

Integrate both sides:

$\mathsf{\displaystyle\int\!y^{-2}\,dy=\int\!2x\,dx}\\\\\\
\mathsf{\dfrac{y^{-2+1}}{-2+1}=2\cdot \dfrac{x^{1+1}}{1+1}+C_1}\\\\\\
\mathsf{\dfrac{y^{-1}}{-1}=\diagup\hspace{-7}2\cdot \dfrac{x^2}{\diagup\hspace{-7}2}+C_1}\\\\\\
\mathsf{-\,\dfrac{1}{y}=x^2+C_1}$

$\mathsf{\dfrac{1}{y}=-(x^2+C_1)}$

Take the reciprocal of both sides, and then you have

$\mathsf{y=-\,\dfrac{1}{x^2+C_1}\qquad\qquad where~C_1~is~a~constant\qquad (i)}$

In order to find the value of C₁ , just plug in the equation above those known values for x and y, then solve it for C₁:

y = 2, when x = – 1. So,

$\mathsf{2=-\,\dfrac{1}{1^2+C_1}}\\\\\\
\mathsf{2=-\,\dfrac{1}{1+C_1}}\\\\\\
\mathsf{-\,\dfrac{1}{2}=1+C_1}\\\\\\
\mathsf{-\,\dfrac{1}{2}-1=C_1}\\\\\\
\mathsf{-\,\dfrac{1}{2}-\dfrac{2}{2}=C_1}$

$\mathsf{C_1=-\,\dfrac{3}{2}}$

Substitute that for C₁ into (i), and you have

$\mathsf{y=-\,\dfrac{1}{x^2-\frac{3}{2}}}\\\\\\
\mathsf{y=-\,\dfrac{1}{x^2-\frac{3}{2}}\cdot \dfrac{2}{2}}\\\\\\
\mathsf{y=-\,\dfrac{2}{2x^2-3}}$

So y(– 2) is

$\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{2\cdot (-2)^2-3}}\\\\\\
\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{2\cdot 4-3}}\\\\\\
\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{8-3}}\\\\\\
\mathsf{y\big|_{x=-2}=-\,\dfrac{2}{5}}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps. =)

Tags: ordinary differential equation ode integration separable variables initial value problem differential integral calculus

7 0

3 years ago

With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?

inna [77]

The original price of the dress was $200. This is because 20% of 200 is $40 which was the price after the discount.
Hope this helps :>

4 0

2 years ago

The product of two consecutive negative even integers is 24. What is the smaller of the two numbers?

Karo-lina-s [1.5K]

Answer:

The smaller one is -6, the bigger one is -4.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

CAN ANYONE SOVE THIS EASY INDIAN MATHS QUESTION...The angle of elevation of a cloud from a point 60m above a lake is 30" and the

guajiro [1.7K]

Answer:

the angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of the cloud in the lake is 60 - Mathematics ... the reflection of the cloud in the lake is 60* find the height of the cloud from the surface of the lake

Step-by-step explanation:

Hope this helps

3 0

2 years ago

Read 2 more answers