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melamori03 [73]
2 years ago
10

The two cones below have the same radius, height, and

Mathematics
1 answer:
lozanna [386]2 years ago
3 0

Answer:

yes

Step-by-step explanation:

The cones are not concurrent because one cone is obliquewhich makes the length of these land height is different have the same radius same volumes and same height are the cones concurrent is the corresponding slant height sorry equal .concurrent counts must have concurrent corresponding slant height with all this corresponding being concurrent

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28 -4a = 3a -14+2a<br> ------
Greeley [361]
24+14 = 3a + 4a +2a
38 = 9a
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6 0
3 years ago
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What is the equation of the line that has a slope of 4 and passes through the point (3, -10?
irga5000 [103]
Hello 
the equation is y = ax+b
a the slop    a = 4
y = 4x+b
the line <span>passes through (3, -10) :  -10 = 6(3)+b
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</span>the equation is y = 6x-28
3 0
3 years ago
Junior has a recipe that uses 1 3/4 cups of brown sugar and 3 1/3 cups of flour to make 18 muffins. He has a total of 10 cups of
Furkat [3]

54 muffins because if you take both your given fraction find the nearest common denominator which is 3 4/12 divide the 4 and 12 to get 3 than divide by 0.10 than divided by a whole 10 which got me 3.03 etc.

Round it see how many times it can go into 10 3 times than multiply it by 18.

8 0
3 years ago
The Department of Agriculture is monitoring the spread of mice by placing 100 mice at the start of the project. The population,
uranmaximum [27]

Answer:

Step-by-step explanation:

Assuming that the differential equation is

\frac{dP}{dt} = 0.04P\left(1-\frac{P}{500}\right).

We need to solve it and obtain an expression for P(t) in order to complete the exercise.

First of all, this is an example of the logistic equation, which has the general form

\frac{dP}{dt} = kP\left(1-\frac{P}{K}\right).

In order to make the calculation easier we are going to solve the general equation, and later substitute the values of the constants, notice that k=0.04 and K=500 and the initial condition P(0)=100.

Notice that this equation is separable, then

\frac{dP}{P(1-P/K)} = kdt.

Now, intagrating in both sides of the equation

\int\frac{dP}{P(1-P/K)} = \int kdt = kt +C.

In order to calculate the integral in the left hand side we make a partial fraction decomposition:

\frac{1}{P(1-P/K)} = \frac{1}{P} - \frac{1}{K-P}.

So,

\int\frac{dP}{P(1-P/K)} = \ln|P| - \ln|K-P| = \ln\left| \frac{P}{K-P} \right| = -\ln\left| \frac{K-P}{P} \right|.

We have obtained that:

-\ln\left| \frac{K-P}{P}\right| = kt +C

which is equivalent to

\ln\left| \frac{K-P}{P}\right|= -kt -C

Taking exponentials in both hands:

\left| \frac{K-P}{P}\right| = e^{-kt -C}

Hence,

\frac{K-P(t)}{P(t)} = Ae^{-kt}.

The next step is to substitute the given values in the statement of the problem:

\frac{500-P(t)}{P(t)} = Ae^{-0.04t}.

We calculate the value of A using the initial condition P(0)=100, substituting t=0:

\frac{500-100}{100} = A} and A=4.

So,

\frac{500-P(t)}{P(t)} = 4e^{-0.04t}.

Finally, as we want the value of t such that P(t)=200, we substitute this last value into the above equation. Thus,

\frac{500-200}{200} = 4e^{-0.04t}.

This is equivalent to \frac{3}{8} = e^{-0.04t}. Taking logarithms we get \ln\frac{3}{8} = -0.04t. Then,

t = \frac{\ln\frac{3}{8}}{-0.04} \approx 24.520731325.

So, the population of rats will be 200 after 25 months.

6 0
4 years ago
What is the y-value when x equals -11? <br> y = -200 – 12(x).
Sergeu [11.5K]
Y=-68

Hope this helps, have a great day!
3 0
4 years ago
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