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2 years ago

At 1 pm, there were 16 seagulls on the beach. At 3 pm, there were 40 seagulls. What is the constant rate of change?

1 answer:

4 0

The answer is (change of amount) / (change of time). For the change of amount, the numerator is 40 seagulls - 16 seagulls, leaving a total of 24 seagulls. For the change of time, the denominator is 3 pm - 1 pm, leaving a total of a 2 hour difference. The answer becomes 24 seagulls / 2 hours, or 12 seagulls per hour when simplified.

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I need help, can someone please help me

zaharov [31]

Answer:

slope (3,1) using rise over run y-intercept -1

Step-by-step explanation:

Starting at your y-intercept -1 and going up three and 1 to the right you get to your next point on the graph

5 0

3 years ago

Read 2 more answers

Which set of line segments could create a right triangle?

ser-zykov [4K]

Answer:

15,36,39

Step-by-step explanation:

A right triangle will satisfy Pythagoras Theorem:

c² = a² + b²; where c is the longest side.

8 0

2 years ago

Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

$10^4x=8967+\dfrac{89}{99}$

$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

###

An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

8 0

3 years ago

Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

$(x-h)^2+(y-k)^2=r^2$

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

$(x-h)^2+(y-k)^2=r^2$

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

5 0

2 years ago

you choose between red, blue, yellow or green wallpaper and purple or yellow carpet find the total number of possible outcomes w

suter [353]

Answer:

8 possible outcomes

Step-by-step explanation:

I'm going to list all the possibilities and then count them up.

First Word is the wallpaper color, Second is the carpet color.

Red + Purple, Red + Yellow, Blue + Purple, Blue + Yellow, Yellow + Purple, Yellow + Yellow, Green + Purple, Green + Yellow

After counting them up, we get 8. Therefore there are 8 possible outcomes.

Another way is to multiply the possible outcomes for each event together, and you can get the total number of outcomes. For example, in this problem there is 4 wallpaper colors and 2 carpet colors, so when u multiply them u get 8 total outcomes. Hope this helped!

3 0

2 years ago