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3 years ago

Select the undefined term that best defines the arrow pictured

Mathematics

1 answer:

rodikova [14]3 years ago

8 0

What is the slope of the line through the point A(-3,4) and B(2,-1)
Best answer
A -1
B 1
C -3
D - 1/3

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A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the

Levart [38]

Answer:

P(t) = 3000 * 4^(t/10)

Step-by-step explanation:

There is more than one way to get an exponential function out of the information given. The way the question is worded, however, seems to suggest the following type of answer:

One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor. So right away we can say that a = 2300.

Now for the growth factor. When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently. So here we're increasing by 11%, or 0.11. Then the growth factor b is (1 + 0.11), or 1.11.

4 0

3 years ago

Mrs.Anderson bought party favors for the 24 students in her class. Each favor cost $2.27. How much did all the party favors cost

Inessa05 [86]

The answer is 54.48 because 24 x 2.27=54.48

4 0

3 years ago

13+7*12+9= How would I show my work and get the answer to this problem

Ksivusya [100]

Use PENDAS
multiply first then add, so 13+ 84 +9 = 106

4 0

3 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

Sav [38]

Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

$\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v$

$\implies\ln|u|=\ln|v|+C$

$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

$\implies y^2=C|\ln x|-4$

$\implies y=\pm\sqrt{C|\ln x|-4}$

4 0

3 years ago

The table below gives the dimensions of a bridge and a scale model of the bridgeFind the scale factor of the model to the real b

Oksana_A [137]

The corresponding sides of the model and the actual bridge are in proportion because the two solids are similar.

The scale factor from the model to the actual bridge is 5/25 = 6/30 = 8/40 = 1/5.

Answer: 1/5

3 0

3 years ago