Answer:
$285714.2857
Step-by-step explanation:
120000/6= 20000 (One year of interest)
20000/0.07= 285714.2857
A factory makes sheets of metal that are 4 5/8 inches thick. If a worker at the factory makes
a stack of 5 of the sheets, how many inches thick will the stack be?
Write your answer as a fraction or as a whole or mixed number.
What are the zeros of x (3 - 18x) = 0 ?
Answer:
x=3⋅± 2
=±4.2426
x=0
Step-by-step explanation:
Convert decimal to a mixed number: 10.5 =
Help please
How can i use multiplication/division to calculate a percent of a number?
Answer:
for example you are given a percentage and numbers you cross multiply
Step-by-step explanation:
hope it helps cause I don't know how to explain the answer
The sum of three consecutive integers is 42. Determine the value of the smallest
integer.
Answer:
13.
Step-by-step explanation:
[tex]42 = a + (a+1) + (a+2) = 3a + 3 = 3(a+1)[/tex]
Then, [tex]a+1 = 14[/tex], so [tex]a=13.[/tex]
How do you do this question?
=======================================================
Explanation:
f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.
f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.
f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.
--------------------
The conditions to use the integral test have been met. So we have to see if [tex]\displaystyle \int_1^{\infty}f(x)dx[/tex] converges or not.
Let's integrate and find out
[tex]\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\[/tex]
So we have
[tex]\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\[/tex]
Meaning that,
[tex]\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\[/tex]
If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression [tex]-\frac{1}{5b^5}+\frac{1}{5a^5}[/tex] will turn into [tex]\frac{1}{5}[/tex]
Therefore,
[tex]\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\[/tex]
Because this integral converges, this means the series [tex]\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}[/tex] also converges as well by the integral test.
Which of the following functions is graphed below?
3. Select two numbers that have 4 as their greatest
common factor. Mark all that apply.
12
Part
A 2,4
B
4,8
C
8. 12
D 8. 16
E
12. 24
I’m
Answer:
B and C
Step-by-step explanation:
All others have higher factors than 4
Answer:
B,(4,8) &C,(8,12)
Step-by-step explanation:
A,(2,4)=2=2
4=2^2(GCF of 2&4 is 2)
B,(4,8)=4=2^2
8=2^3(GCF of 4&8 is 4)
C,(8,12)=8=2^3
12=2^2*3(GCF of 8&12 is 4)
D,(8,16)=8=2^3
16=2^4(GCF of 8&16 is 8)
E,(12,24)=12=2^2*3
24=2^3*3(GCF of 12&24 is 12).
i hope it helps you
While I was walking to schoed this morning I saw 2 ants and 2 butterflies.
My teacher taught me that an insect has 6 legs. Ants one butterflies are
both intects! How many legs were there all together?
Answer:
it would me 24 legs
Step-by-step explanation:
hope that helps
Find the area of the figure. (Sides meet at right angles.)
9 in
in
5 in
B in
4 in
Answer:
48 in²Step-by-step explanation:
A1 = 9 x 4 = 36
A1 = 4 x 3 = 12
Total = 36 + 12
= 48 in²
Zeke's birthday party will cost $6 if he invites 3 guests. If there are 8 guests,
how much will Zeke's birthday party cost? Assume the relationship is
directly proportional. *
what do you mean by '^' next to everything?
Answer:
power of for example 4 to the power of 2. 2 means square
Bella is in school at math class. Her teacher, Mrs. Williams asks her "What's 9-3 divided by 1/3 + 1 equal to?" help Bella answer the question without using a calculator.
WILL MARK BRAINLIEST Find the value of x in each case:
c
L, M ∈
KN
Step-by-step explanation:
The sum of interior angles of a triangle is 180 degree
x + (180 - 3x ) + ( 180 - 2x - 72 ) = 180
x + 3x - 2x + 360 - 72 = 180
2x + 288 = 180
2x = 108
x = 54
L = 180 - 3x = 180 - 54*3 = 18
x + L + M = 180
54+18+M = 180
M = 108
If the expression 4x+3 is equal to 1 to the same value of x, what is the expression 4x+8 equal to for the same value of x？
Answer:
6
Step-by-step explanation:
4x + 3 = 1
4x =-2
x = -1/2 so 4x +8 =4(-1/2) +8=6
Find the graph that matches the equation below.
y=-1/3x-1
Answer:
A
Step-by-step explanation:
Beck uses 25 robux to buy 3 spins on a game she likes, she spends 8 thousand robux to finally roll a good item.How much spins did she get?
Answer:
960
Step-by-step explanation:
8000/25 = 320
320 • 3 = 960
Can two distinct lines intersect in more than one point?
Determine whether each relationship below is true or false.
Answer:
1. True
2. False
3. True
4. False
5. True
Step-by-step explanation:
For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3 and 2/3 is greater than 1/3.
For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.
For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25 and see which is larger.
For 4, you want to see if you can simplify any of them. 2/4 can be simplifed to 1/2. So, it is false because you can see that 2/4 is the same as 1/2
For 5, you want to divide both fractions by 2, so 4/10 would be 2/5 and 4/6 would be 2/3. So it is true.
The answers for the given expressions are given below,
1. True
2. False
3. True
4. False
5. True
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3, and 2/3 is greater than 1/3.
For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.
For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25, and see which is larger.
For 4, you want to see if you can simplify any of them. 2/4 can be simplified to 1/2. So, it is false because you can see that 2/4 is the same as 1/2
For 5, you want to divide both fractions by 2, so 4/10 would be 2/5, and 4/6 would be 2/3. So it is true.
To know more about an expression follow
https://brainly.com/question/13780981
#SPJ2
A dance floor is in the shape of a rectangle.
It is 27 meters long and 16 meters wide.
What is its perimeter?
Answer:
86 meters
Step-by-step explanation:
27+27+16+16=54+32=86 meters
Consider the reflection of angle abc across the line of reflection pt
Answer:
bro are you talking about some picture
Step-by-step explanation:
please gyus help me out ..... urgent need......for 20 points please gyus answer it .....
Answer:
I wish I could help you but i have not learn yhat yet. so sorrry :( pleaser forgive jme....... please i beg u plase
Step-by-step explanation:
4. The cost of a long-distance telephone call is $.50 for making the call and $.10 per minute. What is the slope? What does it represent?
$$$$$$$$$$$$$$$$$$$$$$$$$$
formula for calculating average speed
2. Mr. Winter is putting away
48 chairs. He can put away
the chairs in stacks of 10 or
as single chairs. What are all
of the ways Mr. Winter can put
away the chairs?
Wh
he can make 4 stacks, leaving 8 chairs as single chairs
<1 and <2 are supplementary, so one of the angles is acute,
Find one counterexample to show that each conjecture is false.
Answer:
make each of the supplementary angles 90, then they are equal.
Step-by-step explanation:
What is X- y= 3 in a graph
Answer:
You must first put the equation into slope-intercept form (y = mx + b). To do this, subtract x from both sides to isolate y. Then, since y will be negative, divide each side by -1, resulting in y = x - 3. Since a 1 is understood to be in front of the x, the slope is 1
How to graph:
x-0 y- -3 or (0,-3)
x- 3 y-0 or (3,0)
If you graph these points you should get your graph
Find the distance between the points (3, 2) and (15,-3).
A mixture requires 4 cups of water for every 7 cups of flour used. How many cups of water should be used with 28 cups of flour
Answer:
16 cups of water
• Number of psychology textbooks sold: The number is not correct
A textbook store sold a combined total of 334 biology and psychology textbooks in a week. The number of biology textbooks sold was 84 more than the number
of psychology textbooks sold. How many textbooks of each type were sold?
Answer:
209 biology books and 125 psychology books were sold.
Step-by-step explanation:
x = biology books y = psychology books
334 = x + y
x = y + 84
x - y = 84
y = x - 84
Using these systems of equations, we can see that (209,125) is the only possible answer. Elimination, substitution, or guess and check are all viable methods to solve this problem. I can explain further if needed! :)