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irinina [24]
3 years ago
11

Which statements about the pattern are true?

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0
All the correct answers are C and D.
snow_tiger [21]3 years ago
5 0
C.
Every term is a multiple of 3.
AND
D.
Every term is greater than the previous term.

are your answers

Hope this helps!
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If an angle of 110º bisected, find the measure of each angle formed?
bekas [8.4K]

Answer:

55°

Step-by-step explanation:

if an angle is bisected, it get divided into two equal angles .

so, each resulting angle will be half of the angle which is bisected.

hence, measure of each angle formed is

110° / 2 = 55°

3 0
3 years ago
Read 2 more answers
Which graph represents no solution
Cerrena [4.2K]

Answer:

D. Parallel lines

Step-by-step explanation:

Lines which intersect have their point of intersection as the solution to the system of equations. If there is no solution then two lines do not intersect. The two lines must be parallel.

7 0
3 years ago
The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model
Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$  in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

                    $=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

                   $=10,000[e^{0.4}-1]$

                    $=10,000[0.49]$

                    =4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

   $=10,000e^{0.02(5)}$

   $=11051$

In 2000,

$P=10,000e^{0.02(10)}$

   =12,214

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0
3 years ago
Write an inequality to represent the phrase: The sum of a number an 6 is no less than 31
Leviafan [203]
The inequality that represents this phrase is n+6 > 31.
5 0
3 years ago
Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in th
Artyom0805 [142]

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

3 0
2 years ago
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