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3 years ago

Can someone help me please

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

5 0

The price of the shoes times .06 will give you the abswer

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What is 5 1 2 + 2 1 7 ?

alina1380 [7]

Answer:

769

Step-by-step explanation:

512

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729

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the fraction answer is 7 9/14 lol

4 0

3 years ago

Read 2 more answers

M is the midpoint of C(1,7) and D(-8,-3). Find the coordinates of M.

Alex73 [517]

Answer:

hello I hope the image helps

5 0

1 year ago

State the domain of the sets of points. [-4,9] [8,9] [5,-7] [-6,1] [2,7]

Ainat [17]

Answer:

[-6, -4, 2, 5, 8]

Step-by-step explanation:

take the first number in each pair and put them in numerical order (least to greatest)

3 0

3 years ago

The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in

mote1985 [20]

Answer:

Zeros of a function: x = 1 and x = -10

Step-by-step explanation:

A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.

First we need to make f(x)=0, so we would have: $-x^{2}-9x+10=0$ .

If we factorize this quadratic function, we would have: $(x+10)(x-1)=0$

So we get x = -10 and x = 1.

x = 1 means that the diver hits the water 1 foot away horizontally from the board.
x=-10 means the diver hits the water 10 feet behind the diving board.

Hope it helps!

4 0

3 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

3 0

3 years ago