the nth term of a sequence is 3n²÷2
find the second term of this sequence
find the fifth term

Answers

Answer 1
2nd term:
3n^2 / 2
3 x 2^2 / 2
12/2
6

Fifth term:
3n^2 / 2
3 x 5^2 / 2
75 / 2
37.5

Related Questions

50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!

LOOK AT PICTURE

Answers

Answer:

Diagram 2, 12 foul balls

Step-by-step explanation:

12/3=4

12-4=8

A nutritional consulting company is trying to find what percentage of the population of a town is overweight. The marketing department of the company contacts by telephone 600 people from a list of the town's telephone directory. All 600 people give answers to the survey. Which of the following is the most significant source of bias in this survey?

a. Size of sample.
b. Undercoverage.
c. Voluntary response bias
d. Nonresponse.
e. Response bias.

Answers

it is undercoverage bias

PLEASE HELPP! WORTH 20 POINTS

For each situation described for a given linear model, is there a correlation? If
so, is there a causal correlation? Explain.

1. the number of minutes studied for a test and the final test grade

2. the attendance at a baseball game and number of runs the home team scores
in the game

Answers

Answer:

B

Step-by-step explanation:

Because

The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with resect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the. population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day.

Required:
What is the differential equation that models this situation?

Answers

Answer:

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]

Required

Determine the differential equation for the scenario

The variation can be represented as:

[tex]\frac{dP}{dt} \ \alpha\ P[/tex]

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

[tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ kP[/tex]

Substitute values for [tex]\frac{dP}{dt}[/tex] and P

[tex]2\ million = k * 10\ million[/tex]

Make k the subject

[tex]k = \frac{2\ million}{10\ million}[/tex]

[tex]k = \frac{2}{10}[/tex]

[tex]k = \frac{1}{5}[/tex]

Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

What is 12% of 507
OA. 6
OB.
7
O c.
10
OD
12

Answers

10 and I know this because I just looked it up hopefully you have a great rest of ur day

While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?

Answers

Answer:

$93.

Step-by-step explanation:

Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:

75 + (75 x 0.2) + (75 x 0.04) = X

75 + 15 + 3 = X

93 = X

Therefore, the total cost he payed for his meal was $ 93.

Answer:

ok

Step-by-step explanation:

ok

In 5 years, Nicole will
be old enough to vote in an election. The minimum age
for voting is at least 18 years. What can you say about
how old she is now? Write and solve an inequality to
show how old Nicole is now. Let a represent Nicole's
age now.

Answers

Answer:

Nicole is 13 years old because x + 5 = 18

Step-by-step explanation:

Jamie is flying a kite at the beach. Jamie ties the string to a stake in the ground and
lets out 75 feet of string. If the angle of elevation of the kite is 55 degrees, how high is
the kite from the ground to the nearest foot?

Answers

Answer:

24

Step-by-step explanation:

that is what   thinkof ur answer

Answer:

Height=61 feet

Step-by-step explanation:

Height=sin 55 degrees x 75

Height=0.8192 x 75

Height=61.43

Which situations can be simulated using this spinner? Select three options.

Answers

Choosing a color, number, or restaurant

What is the slope-intercept form of the line that passes through (2,7) and (4, -1)?

y = -4x + 15
y = -4x + 12
y = -4x + 30
y = -4x + 3

Answers

Answer:

y=-4x+15

Step-by-step explanation:

Select all the expressions that represent the area of the large, outer rectangle in figure A.


Please help quickly.

Answers

Answer:

Below three are the options

Step-by-step explanation:

6(3+2)

6*5

6.3+6.2

Answer:

6(3 + 2), 6 * 5, and 6 * 3 + 6 * 2 are all expressions that represent the area of the large outer rectangle in figure A.

At 12:00 a.m. the temperature was 0° F. By 4:00 a.m., the temperature dropped to five degrees
below zero.

Answers

Answer:

the temperature dropped 5 degrees in four hours

Step-by-step explanation:

An isosceles right triangle has a hypotenuse that measures 32 inches. To the nearest inch,

what is the measure of each leg of the triangle?​

Answers

Answer:

28 inch  or 27.7 inch

other side is 16 inch

Step-by-step explanation:

We double the triangle and find each hypotenuse for two triangles to determine base as equilateral

32^2 = base

To find height we half base and multiply by slant = 32 inches

32/2 = 16 inch

Height = 32^2 - 16^2 = a^2  = sq rt 1024 - sqrt 256 = sq rt 768

a^2 = sq rt 768 = 27.7128129 = 28 inch  or 27.7 inch

Whats the Quotient for 95÷5

Answers

Answer:

12

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

I hope this helps you!

In Sahara Desert one day it was 130°F. In the Gobi Desert a temperature of -40°F was recorded. What is the difference between these two temperatures?

Answers

Answer: 170 degree difference

Answer:

The difference between two numbers canbbe obtained substracting.

The diffence between 130 °F and -40 °F would be the same as substracting both numebrs (we should put an absolute value as the difference is positive).

130 - (-40) = 130 + 40 = 170 ° F

So the difference is of 179 °F

I need help with this

Answers

Answer:

They multiplied by 100

Step-by-step explanation:

1 x 1.5 = 1.5

10 x 1.5 = 15

100 x 1.5 = 150

He multiple it by 1.5

find the values of x and y in the diagram

Answers

Answer:

y=2, x=3

Step-by-step explanation:

We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3

Solve the equation: 3x - 2/4 = 2x – 8 Explain your reasoning / show work:​

Answers

X= -15/2
Reduce the fraction
Move terms
Collect like terms and calculate
X=-15/2 is the answer

A savings account increases from ​$150 to ​$159. What is the percent increase of the savings​ account?

Answers

Answer:

6%

Step-by-step explanation:

it increased by 9/150 = 0.06 = 6%

11a + 22 + 17a - 6 S I M P L I F I E D

Answers

Answer:

28a +16

Step-by-step explanation:

11a + 22 + 17a - 6

28a +16

Answer:

28a + 16

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variables, as well as same amount of that variable.

In this case:

11a + 17a + 22 - 6

(11a + 17a) + (22 - 6)

28a + 16

28a + 16 is your answer.

~

HELP ME PLEASEEE ASAPPP

Answers

I believe the answer is A

What is the value of y?


y =

Answers

y=64

79+37=116
180-116=64

all angles of a triangle adds up to 180
add the two given angles and subtract that from 180 to find the missing angle

pls pls help me pls help me

Answers

Answer:

68m squared or the first option

Step-by-step explanation:

68m squares i hope it right

4. A bicycle tire has a radius of 13 ¼ inches. How far will the bicycle travel in 40 rotations of the tire? Round to the nearest tenth

Answers

Answer:

It should be 530 inches, so 44 feet.

Step-by-step explanation:

I am not 100% but I did 13.25 times 40.

it should be 530 inches so 44 feet

In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.

Answers

The first angle would equal 39, multiply that by 2 it would equal 78 for the second angle. 39+24=63 for the third angle. The way you know this is right is if you add them all together they equal 180.

In a test for ESP (extrasensory perception), a subject is told that cards the experimenter can see but the subject cannot contain a star, a circle, a wave, a triangle or a square. As the experimenter looks at each card in turn, the subject names the shape on the card. A subject who is just guessing has a one in four chance of guessing correctly on each card.
A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?
B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?
C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

Answers

Answer:

a) [tex]n = 20[/tex] and [tex]p = 0.25[/tex]

b) The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.

c) 0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?

20 cards mean that [tex]n = 20[/tex]

A subject who is just guessing has a one in four chance of guessing correctly on each card, which means that [tex]p = \frac{1}{4} = 0.25[/tex]

B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?

Expected value, so

[tex]E(X) = np = 20*0.25 = 5[/tex]

The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.

C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{20,5}.(0.25)^{5}.(0.75)^{15} = 0.2023[/tex]

0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing

Negative fourty-eight and fifteenth thousand in decimal form

Answers

Answer:

-48.015

Step-by-step explanation

-48.015 get a good grade

What is the equation of a parabola with vertex (-5,6) and a=3
A y = 3(x + 5)2 – 6
By= 3(x + 5)2 + 6
y = 5(x - 3)2 – 6
Dy=3(x - 6)2 – 5

Answers

Answer:

Step-by-step explanation:

y = 3(x+5)² +6

Find the sum
(3/8-1/6m+5t) + (7/10m+9t+1/4)

Answers

Firstly, put the same families in the same category so 3/8+1/4=5/8(find the common denominators for the fractions) then you would put 1/6m-7/10m=8/15m 5t+9t=14t and the answers will be 5/8+8/15m+14t
I hope this helps if it is right!

Answer:

5/8 +8/15m+ 14t

Step-by-step explanation:

Combine your like terms, and you will get this.

Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points

Answers

Answer:

5351.2

Step-by-step explanation:

596 times 9 = 5364

64 divided by 5 = 12.8

5364 minus 12.8 = 5351.2

First part: 5364
Second part: 12.8
5364 - 12.8 = 5351.2
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