1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PIT_PIT [208]
2 years ago
13

Alexa says that the pattern with the expression 5n+3 will not contain the term 82. Is she right? Explain your answer.

Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

Answer:

correct

Step-by-step explanation:

She is correct.

For any integer, n, 5n is a multiple of 5.

5n + 3 is 3 more than a multiple of 5.

Start with 82. Subtract 3. Now you have 79.

79 is not a multiple of 5, so 5n + 3 will not contain the term 82.

You might be interested in
Which number has the same value as 20 tens
barxatty [35]
200 has the same value as 20 tens beucase 20*10=200
4 0
3 years ago
Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
to support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. t
Leokris [45]
Choice given:
<span>33.6°
39.8°
50.2°
56.4°

I drew the figure. 
I got 12 ft as the hypotenuse, 10 ft as the opposite.

Sin</span>Θ = opposite / hypotenuse 
SinΘ = 10/12
SinΘ = 0.83

I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
sin(39.8°) = 0.64
sin(50.2°) = 0.77
sin(56.4°) = 0.83

The angle where the wire meets the ground is approximately 56.4°
8 0
3 years ago
Read 2 more answers
Taille LHRISTINE
BartSMP [9]

Answer:

-5 = x

Step-by-step explanation:

7(4x + 9) - 10 = -87 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \: 10 \: \: \: \: + 10 \\ \\ \frac{7(4x + 9)}{7} = -\frac{77}{7} \\ \\ 4x + 9 = -11 \\ \: \: \: \: \: \: -\: 9 \: \: \: \: \: - \: 9 \\ \\ \frac{4x}{4} = -\frac{20}{4} \\ \\ x = -5

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

5 0
3 years ago
How to solve this substitution​
Lena [83]
-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11

simplify :
4y-25=11

add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out

so it would be 4y=36
and you divide both sides by 4

4/4 =36/4

which gives you (5,9)
x= 5 , y =9
6 0
2 years ago
Other questions:
  • Polynomials are written with the exponents of the terms in _____ order.
    10·2 answers
  • Which ones do not represent a function and which ones do represent a function and why?​
    11·1 answer
  • Write seventy-six-thousandths as a decimal
    9·2 answers
  • Please help me find this limit :'(
    5·1 answer
  • 3.5<br> Find the length of LW
    6·1 answer
  • Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer.
    12·1 answer
  • 3 times a number is 54 less than the square of that number
    13·2 answers
  • PART 2 of asking for help :( ill gie u brain list and a thank you!!! plus u get the points!!! :)
    12·1 answer
  • I put the question in a doc cuz its a screenshot, please help
    13·1 answer
  • 132°<br> 125°<br> 141°<br> 140°<br> 145°<br> r<br> 120°<br> 113°<br> Find the value of R
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!