MATHEMATICS HIGH SCHOOL

the sum of three consecutive integer is 88. identify the variable and write an equation the describes the situation.

Answers

Answer 1
Answer: Lets say that you take n as the integer. Now you'll add it with 3 numbers. n+(n+1)+(n+2)=88. Now add 'em up, the sum is 3n+3=88. Take the 3 to the other side and subtract it from 88 which is 85. Now it'll be n= 85/3

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If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.

Answers

Answer:

35.34 atoms will be present after 14,325 years.

Step-by-step explanation:

Given : Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0. If an organism had 200 atoms of carbon-14 at death.

To find : How many atoms will be present after 14,325 years?

Solution :

The half-life exponential function modeled isN=N_o((1)/(2))^{(t)/(h)}

Where, N_o=200 is the initial atoms

N is the total number of atoms.

t=14,325 years is the time  

h=5,730 years is the half-life time

Substitute the value in the formula,

N=200((1)/(2))^{(14325)/(5730)}

N=200((1)/(2))^(2.5)

N=200(0.1767)

N=35.34

Therefore, 35.34 atoms will be present after 14,325 years.

Answer:

35.36 atoms

Step-by-step explanation:

If there is a 30% chance a student will fail a class at Fresno State, find the probability that of four randomly chosen students.All fail a class.

Answers

Answer:

81%

Step-by-step explanation:

If there is a 30 percent chance a student will fail a class at Fresno State, we can simply multiply the percentage by the probabilities of all students failing. Every option available:

P(All four fail) = 1 student fails * 2 students fail * 3 students fail * 4 students fail

P(All four fail) = 0.3 * 0.3 * 0.3 * 0.3

P(All four fail) = 0.0081

0.0081 = 81%

Can someone help asap​

Answers

Answer:

The gasoline used by truck =

Total gas - Gasoline left..

Gas used = 23/3-123/27

(23 * 9 - 123)/(7)

(207 - 123)/(27)

Gas used =84/27

A toy rocket was launched from the ground. The function f(x) = -16x2 + 160x shows the height of the rocket f(x), in feet, from the ground at time x seconds.What is the axis of symmetry of the graph of f(x), and what does it represent?

These are the choices:
x = 10; it takes 10 seconds to reach the maximum height and 10 seconds to fall back to the ground
x = 10; it takes 10 seconds to reach the maximum height and 20 seconds to fall back to the ground
x = 5; it takes 5 seconds to reach the maximum height and 10 seconds to fall back to the ground
x = 5; it takes 5 seconds to reach the maximum height and 5 seconds to fall back to the ground

Answers

Hello,

Answer D
Vertex of y=-16(x-5)²+400  is (5,400)

Joel earns $1,500 per month. If he spends $375 on rent each month, what percent of his income does he spent on rent?

Answers

So taking part over the whole month you will get % spent.

375/1500 = .25
Convert to percent by multiplying by 100.

.25 x 100 = 25%

He spends 25% of his income on rent each month.

Evaluate each expression for s = 2 and t = 5

-4(s)²+t³÷5

Answers

sub
s=2
t=5

-4(2)^2+(5^3)/5
PEMDAS

exponents first sice parentahsees are already simplified
2^2=4
5^3=125
now we have
-4(4)+125/5
multiplication or division
-4 times 4=-16
125/5=25

nowe we have
-16+26
9

answer is 9
-4(s)^2 + t^2 ÷ 5
-4(2)^2 + 5^2÷ 5=
-4x4 + 25/5 =
-16 + 5 = -11
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