formula : area of square = Length²
all the sides in a square is of same measureLength = √area of square
given here the area: 25y² – 20y + 4[tex]\rightarrow \sf Length =\sqrt{ 25y^2 - 20y + 4}[/tex]
[tex]\rightarrow \sf Length =\sqrt{ 25y^2 - 10y -10y+ 4}[/tex]
[tex]\rightarrow \sf Length =\sqrt{ 5y(5y - 2) -2(5y-2)}[/tex]
[tex]\rightarrow \sf Length =\sqrt{ (5y-2)(5y-2)}[/tex]
[tex]\rightarrow \sf Length =\sqrt{ (5y-2)^2}[/tex]
[tex]\rightarrow \sf Length =5y-2[/tex]
what do you mean by '^' next to everything?
Answer:
power of for example 4 to the power of 2. 2 means square
Find the graph that matches the equation below.
y=-1/3x-1
Answer:
A
Step-by-step explanation:
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.
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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.
• 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! :)
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
Can two distinct lines intersect in more than one point?
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
Consider the reflection of angle abc across the line of reflection pt
Answer:
bro are you talking about some picture
Step-by-step explanation:
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
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.
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
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]
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:
What are the zeros of x (3 - 18x) = 0 ?
Answer:
x=3⋅± 2
=±4.2426
x=0
Step-by-step explanation:
Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds. The old fish tank holds 20 gallons of water. How many gallons of water should her new fish tank hold? O A. A. 15 gallons B. 35 gallons OC. 60 gallons D. 80 gallons E. 95 gallons
Answer:
b
Step-by-step explanation:
75 percent of 20 is 15 and 100 percent of 20 is 20
The number of gallons of water should her new fish tank hold is to be considered as the option b. 35 gallons.
Calculation of the number of gallons:Since
Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds.
The old fish tank holds 20 gallons of water.
So we can say that
= 75% of 20 + 100% of 20
= 15 + 20
= 35
Hence, the option b is correct.
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$182 at 6% simple interest for 4 years.
Find the interest earned on the account
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
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
Which of the following functions is graphed below?
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
formula for calculating average speed
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?
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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
Find the distance between the points (3, 2) and (15,-3).
Convert decimal to a mixed number: 10.5 =
Help please
<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:
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
Please help on this I’m confused
Answer:
Side A is 7
Side B is 15
Step-by-step explanation:
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. *