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Ann [662]
3 years ago
15

The population of a small town, P, as a function of time, t, in years past 1940 is given below.

Mathematics
2 answers:
hjlf3 years ago
6 0

Answer:

1976

Step-by-step explanation:

hope this helps

romanna [79]3 years ago
3 0

Answer: 1976

Steps:

Let t* be the year in which the population reached a count of 8920. Solve for t*:

P=200t+1720\\8920=200t^*+1720\\7200=200t^*\\t^* = 36

The population grew to the number 8920 in 36 years past 1940, i.e., 1976

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Which of the following is the surface area of the right cylinder below?
Snowcat [4.5K]

Answer: Option A.

Step-by-step explanation:

You need to use this formula for calculate the surface area of the right cylinder:

SA=2\pi r^2+2\pi rh

Where "r" is the radius and "h" is the height.

You can identify in the figure that:

r=8units\\h=3units

Knowing this, you can substitute these values into the formula SA=2\pi r^2+2\pi rh, therefore you get that the surface area of this right cylinder is:

SA=2\pi (8units)^2+2\pi (8units)(3units)

SA=176\pi\ units^2

8 0
3 years ago
Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
8 0
3 years ago
72÷8+3.4-105÷5<br>they say the answer is 0 but don't see how.
Sidana [21]
72/8 +3*4 - 105 /5
= 9 + 12 - 21
= 21 -21
= 0
4 0
3 years ago
2. what value of b makes the following equation true
Svetradugi [14.3K]

Answer:

  2. 10

  3. D.  1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b = 1/a^-b

__

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The value of n is 10.

__

3. Using the above rules of exponents, the expression simplifies to ...

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The value is 1 for any n.

4 0
3 years ago
What is the area of this figure?
VashaNatasha [74]

Answer:

104cm^2

Step-by-step explanation:

Area of 1st rectangle

given

l=12cm

w=6cm

A =l×w

=12cm×6cm

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Area of 2nd rectangle

given

l=14-6=8cm

w=4cm

A=l×w

=8cm×4cm

=32cm^2

Total area =72cm^2+32cm^2=104cm^2

8 0
3 years ago
Read 2 more answers
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