Answer:
We conclude that:
[tex]25a^2-0.01b^{10}=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]25a^2-0.01b^{10}[/tex]
Rewrite [tex]25a^2-0.01b^{10}[/tex] as [tex]\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2[/tex]
so
[tex]25a^2-0.01b^{10}=\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2[/tex]
Apply difference of two squares formulas:
[tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
so
[tex]\left(5a\right)^2-\left(\sqrt{0.01}b^5\right)^2=\left(5a+\sqrt{0.01}b^5\right)\left(5a-\sqrt{0.01}b^5\right)[/tex]
[tex]=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)[/tex] ∵ [tex]\sqrt{0.01}=0.1[/tex],
Therefore, we conclude that:
[tex]25a^2-0.01b^{10}=\left(5a+0.1b^5\right)\left(5a-0.1b^5\right)[/tex]
An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
VI
O The percent and decimal are between 0 and 1.
O The percent and decimal are greater than 1 and less than 100.
O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Answer:
The answer is C.
Step-by-step explanation:
The number between 0 and 1. Think of decimals as cents, 100 cents makes a whole. So the number will be greater than 0 but less than 100.
I need help with this circumference problem!! find the circumference!
Answer:
28.26
Step-by-step explanation:
calculated the formula, (C= π*r*2). also that answer is rounded but that's probably what you need :)
≈ 28.27433 is your answer
INFO: I will be using: R = D ÷ 2 (R = radius which is the line extending from the middle to the end, D is diameter).
C = π • d = π • 9 ≈ 28.27433
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
Graph AB with endpoints A(-2,5) and B( 4, 2) and its image after the composition.
Answer:
is this multiple choice?
Step-by-step explanation:
PLS SOMEONE HELP ME ASAP
Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
Simplify (4x) ∙ mn ∙ 15 ∙ 2.
Answer:
(4x)*mn*30
Step-by-step explanation:
Which proportion can be used to determine the value of WX if TriangleMNO is similar to TriangleWXY?
Answer:
Where picture?
Step-by-step explanation:
Write (−3) (−3)(−3) (−3) using exponents
Answer:
[tex] { - 3}^{4} [/tex]
Step-by-step explanation:
Negative 3 using exponents will be negative 3^4
Answer:
3^4, or (-3)^4
Step-by-step explanation:
We are multiplying -3 four times, so
(-3)^4
Since we are multiplying an even amount of times, that equals (3)^4
I hope this helps! :)
Rectangle: 1 side 82 inches. Area of rectangle is 6.068 what is the other side measurement
Answer:
[tex]Side_2 = 74\ in[/tex]
Step-by-step explanation:
Given
[tex]Side_1= 82\ in[/tex]
[tex]Area = 6068\ in^2[/tex]
Required
Determine the length of the other side
For a rectangle:
[tex]Area = Side_1 * Side_2[/tex]
This gives:
[tex]6068\ in^2 = 82\ in * Side_2[/tex]
Divide both sides by 82in
[tex]\frac{6068\ in^2}{82\ in} = \frac{82\ in}{82\ in} * Side_2[/tex]
[tex]\frac{6068\ in^2}{82\ in} = Side_2[/tex]
[tex]Side_2 = \frac{6068\ in^2}{82\ in}[/tex]
[tex]Side_2 = 74\ in[/tex]
Hence, the length of the other side is 74 inches
The coordinate plane shows the outline of a town park. A bike path is to be constructed that runs directly through the park from point E to point G. What will be the length of the bike path to the nearest foot? (1 pt) 20
Answer:
20
Step-by-step explanation:
that is right...........
PLEASE HELP ME WITH I AM GIVING 40 POINTS:
The following table shows the number of hours some high school students in two towns spend watching TV each week:
Town A 16 25 42 38 17 32 42 10 17
Town B 8 0 0 17 30 8 21 9 19
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)
Part B: Are the box plots symmetric? Justify your answer. (4 points)
(10 points)
Answer:
Step-by-step explanation:
The first step is to put the data in order, as shown in the diagram below
Five summaries of Town A
Lowest Value = 10
Lower Quartile, = 16.5 (The value falls between 16 and 17)
Median, = 25
Upper Quartile, = 40 (The middle value between 38 and 42)
Highest value = 42
Five summaries of Town B
Lowest value = 0
Lower Quartile, = 4 (The middle value between 0 and 8)
Median, = 9
Upper Quartile, = 20 (The middle value between 19 and 21)
Highest Value = 30
The box plot for two towns is shown in the diagram below.
Town A box plot is not symmetrical, it's tailing on the left
Town B box plot is not symmetrical, it's tailing on the right
Find x when y=2 for y=6x+8
in the list of numbers 3,8,13,18...98 there are 20 numbers, and each number after the first is five more than the previous number. All of the numbers are added together to give a sum. What is the unit digit of the sum
Step-by-step explanation:
So, 3,8,13,18,23,28,33,38,43,48,53,58,63,68,73,78,83,88,93,98
Here we need to add all these 20 numbers
As, each one is 5 more than the previous one
So, after we add them we will get = 1,010
Sp the unit digit is 0 (zero)
Answer:
0
Step-by-step explanation:
NEED ANSWER ASAP PLS!! Justify each step in solving the equation 8x=5(x-3)
Answer:
Step-by-step explanation:
2. expand the brackets
3. take away the smallest x value to simplify 8x-5x=3x
4. 3x=-15 divide both sides by 3 to find the value of x
5. -15/3=-5 therefore x=-5
Determine the integer that best represents each situation below. Then, list the integers from least to greatest.
Answer:
Where are the situations below?
Please awnsers by 3:00
Answer:
$486
Step-by-step explanation:
8% of 450 = 36
450+36 = $486
Answer:
Step-by-step explanation:
Kendall bought a vase that costs 450
he paid 8% tax
tax=450*(8/100)=36
total cost=450+36=486
Which relation is NOT a function?
A
{(a,x),(b,x),(d,z),(c,z)}
B
{(a,y),(b,y),(d,y),(c,y)}
C
{(a,x),(b,y),(a,w),(c,z)}
D
{(a,x),(b,y),(d,x),(c,z)}
PLSS HELP ME WITH THIS ONE
Answer:
it is A I beleive my guy
Step-by-step explanation:
Answer:
yeah its A
Step-by-step explanation:
because it is yeah
24 x 1/6 please help I have no clue I need it asap
Answer:
4
Step-by-step explanation:
24 × 1 = 24 = 4
6. 6
i am pretty sure that's it
Answer:
its 4
Step-by-step explanation:
You can think of 24 as 24/1 so
24 X 1/6
and to multiply two fractions you multiply the numerators and denominators so
24 * 1/6
Now you can divide 6 into 24 and get 4.
PLEASE HELP ASAP!!!!!! WILL MARK BRAINLIEST!!!! HELP!!!!
Answer:
obtuse
784
greater than
730
Step-by-step explanation:
9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
2 minutes
Step-by-step explanation:
9 divided by 18 = 2
2 customers entered the store per minute.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, 9 customers entered a store over the course of 18 minutes.
∴ The rate at which customers entered per minute can be obtained by dividing the total time by the total no. of customers which is,
= (18/9).
= 2 customers per minute.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ5
Simplify
8m + 4n +7m - 2n
A. 15m + 2n
B. m + 2n
C. 15m + 6n
D. 17mn
Answer:
Step-by-step explanation:
Here you go mate
Step 1
8m+4n+7m-2n Equation/Question
Step 2
8m+4n+7m-2n Simplify
8m+4n+7m-2n
Step 3
8m+4n+7m-2n Combine terms
(8m+7m)+(4n+-2n)
Step 4
(8m+7m)+(4n+-2n) Add them
answer
15m+2n
Hope this helps
Naomi surveyed eighth-grade students at her school to find out which school activities they attended last week. The
results are shown in the two-way frequency table.
Answer: Lol whats the two way table look like
Step-by-step explanation:
Help please!! What is the distance between these points? (-7, 6) and (3, 6)
Y'all get 12 points if you help! :)
Answer:
10
Step-by-step explanation:
sqrt root (x2-x1)^2 + (y2-y1)^2
Answer: d
Explanation: Hope this helps pzzzz marke brainliest
Answer:
lol think you made the wrong thing.
Find the whole number that satisfies all of the following conditions.
• It is a whole number between 1 and 100 inclusive.
• 10% of the number is greater than 1 but less than 7.
of the number is a square number.
• The number is not a multiple of 6.
Answer:
80
Step-by-step explanation:
omg im so confused someone do number 1 to 5 for me :( this is due in 7 mins. ILL GIVE BRAINLIEST!!
1.
[tex]a) \: \frac{11}{7} > \frac{10}{9} \\ b) \: \frac{21}{8} > \frac{13}{12} \\ c) \frac{17}{7} < 2 \frac{3}{4} \\ d) \: 1\frac{1}{2} = \frac{24}{16} \\ e) \: \frac{24}{5} = \frac{48}{10} \\ f) \: 3\frac{4}{5} > \frac{78}{25} [/tex]
2.
[tex]a) \frac{9}{4} = \: 2 \frac{1}{4} \\ b) \frac{19}{11} > 1 \frac{1}{6} \\ c) \: \frac{25}{11} < 4\frac{1}{9} \\ d) \frac{41}{3} < 13 \frac{7}{9} \\ e) \: \frac{30}{10} < 3 \frac{1}{2} \\ f) \: \frac{14}{3} > 3 \frac{2}{3} [/tex]
3.
[tex]a) \: \frac{8}{3} ,1 \frac{11}{12} , \frac{7}{4} \\ b) \: \frac{10}{6} ,1 \frac{1}{3} , \frac{8}{8} \\ c) \: \frac{9}{5} , 1\frac{7}{20}, \frac{11}{10} \\ d) \: 2\frac{8}{12} , \frac{13}{6} , \frac{9}{8} [/tex]
4. The first number line, The second number line, The third number line.
5.
[tex]a) \: 3 \frac{30}{60} \: h; \: \frac{210}{60}h \\ b) \: 1 \frac{20}{60} \: h; \: \frac{80}{60}h \\ c) 2 \frac{45}{60} \: h; \: \frac{165}{60}h \\ d) \: 7 \frac{10}{60} \: h; \: \frac{430}{60}h [/tex]
~ W ~ h ~ i ~ c ~ h ~ s ~ t ~ a ~ t ~ e ~ m ~ e ~ n ~ t ~ m ~ u ~ s ~ t ~ b ~ e ~ c ~ o ~ r ~ r ~ e ~ c ~ t ~ ? ~
~ W~h~i~c~h~s~t~a~t~e~m~e~n~t~m~u~s~t~b~e~c~o~r~r~e~c~t~?~
~ Which~statement~must~be~correct?~
~ Which ~ statement ~ must ~ be ~ correct? ~
~Which ~ statement ~ must ~ be ~ correct?~
~Which statement must be correct?~
Which statement must be correct?
Answer:
Im lost on this one
Step-by-step explanation:
Nasser is following this recipe to make flapjacks.
Nasser uses 1.8 kg of oats.
How many flapjacks is Nasser making?
Recipe: Makes 10 flapjacks
125 g margarine
120 g sugar
150 ml syrup
225 g oats
40 g sultanas
help plz will give brainliest
also it either A or D and show your work if u can
Hey... The answer is A
plllllllllzzzzzzzzzzzzzzzzz helpppp meeeeeeeeeeeeeeeeeee
Step-by-step explanation:
radius(CE)=diameter/2=9
EF=8inch
DE=8/2=4inch
pythagorean theorem:
im right triangle,
a^2+b^2=c^2
4^2+b^2=9^2
16+b^2=81
b^2=81-16
b^2=65
b=√65
√65≈8.06