find the LCD for each set of rational expressions.
x/2x + 16 and -4x/3x - 27
please help!! fast!!
Factor completely.
x^8 - 1/81
Please show a step-by-step/explanation on how you got your answer.
Answer: x(8) - /81
Step-by-step explanation:
Answer:
Step-by-step explanation:
As before any expression of the form (a^2-b^2) will always factor to (a-b)(a+b) in this case
x^8-1/81 = (x^4-1/9)(x^4+1/9) = (x^2-1/3)(x^2+1/3)(x^4+1/9) and if we completely factor it including square roots.[tex](x-\sqrt{1/3})(x+\sqrt{1/3})(x^2+1/3)(x^4+1/9)[/tex]
Enter your answer in simplest form.
4 ×
3
5
=
4 · 35 = 140
Hope this helps! Good luck. :)
Answer: since they're stacked, i cant tell if that's a fraction or decimal, or just whole numbers so...
4 times 35 = 140
4 times 3/5 = 2 2/5
4 times 3.5 = 14
Step-by-step explanation:
A soccer team must raise at least $660 buy new equipment. To reach this goal, each of the 12 soccer players sells tickets
to a game. Tickets cost $2.75 each. The school athletics fund donates an additional $10 per player. The situation is
modeled by the inequality shown,
12(2.75r + 10) 660
How many tickets must each player sell to raise the money?
A at least 19
B at least 17
C at least 16
D at least 20
Answer:
At least 17
Step-by-step explanation:
12(2.75r+ 10)≥ 660
33r+120≥ 660
33r≥ 540
r≥ 16.36
You can't sell 0.36 of a ticket to they need at least 17
Which expression is equivalent to (8x - 1) (4x + 3) ?
Answer:
A
Step-by-step explanation:
multiplying both the equation
Please help I’ll mark you as brainliest if correct!
Answer:
45 i think
Step-by-step explanation:
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
x = 122
Step-by-step explanation:
An exterior angle of a triangle = sum of the other two interior angles.
x = 90 + 32
x = 122
A store discounted a the new iPhone by 10%. If the original price was $630, how much
was the discount? (How much was taken off the original price?)
Answer:
63
Step-by-step explanation:
630 x .1
the number of cars in a parking lot are no more than 7
Which graph shows only the solutions of the inequality that makes sense for this situation?
Answer:
its on the bottom of the first answer the third one
Step-by-step explanation:
The First graph shows only the solutions to the inequality that makes sense for this situation.
What is Inequality?
Relation between two mathematical identities which is not equal that is it can be either greater than or less than or greater and equals to or less and equals to etc, is called Inequality.
In the given problem the variable is the number of cars.
Let us assume that the variable c represents the variable quantity which is the number of cars for the inequality.
Now we know that number of cars is always a positive and whole number.
So the suitable inequality to represent the condition that the number of cars is not more than 7 that is less than or equals to 7 is,
[tex]c \leq 7[/tex]
So the solutions are c=0,1,2,3,4,5,6,7
Hence the first graph shows the correct solution for the given inequality condition.
To learn more about Inequality here -
https://brainly.com/question/25275758
#SPJ2
What's the correct formula for this function?
Answer:
Option C. y = -2x + 3
Step-by-step explanation:
When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...
y = mx + 3
And as I said earlier since the slope is negative, the only right option is this case will be Option C
Answer:
The correct anwer is (C) : y = - 2x + 3
what is |8|
-16
–8
8
16
Answer:
8
Step-by-step explanation:
Anything in an absolute value is positive.
Answer the question plz
Answer:
1) A- 95
2) B- 125
Step-by-step explanation:
1) 50 + 35+x = 180
85 +x = 180
x = 180- 85
= 95
2) 70 +80 + 85+d = 360
235 + d = 360
d = 360 - 235 = 125
I Hope im right!
A TV originally priced at $800 was reduced to $600. What was the percentage discount given?
Answer:
20%
Step-by-step explanation:
In a manufacturing plant, a work center is a specific production facility that consists of one or more people and or machines and is treated as one unit for the purposes of capacity requirements planning and job scheduling. If the jobs arriveat a particular work center at a faster rate than they depart, the work center impedes the overall production process and is referred to as a bottleneck. This sample was collected by an operations manager for use in investigating a potential bottleneck work center. There are 315 hours in the work week when items can come into the work center. The manager selects every 15th hour and counts how many items come into the work center during that hour. What type of sample is this?
Answer:
Systematic sampling
Step-by-step explanation:
Systematic sampling is a sampling technique in which the first sample selection is a random selection but other subsequent selection of samples occurs within a fixed sampling interval. The determination of this interval is based on the division of the population size by sample size.
Let assume that, our first random selection is [tex]i^{th}[/tex] unit, then the other fixed selection occurs at a fixed sampling interval of k.
Therefore, using systematic sampling method, the sampling unit will be every [tex]k^{th}[/tex] unit after the [tex]i^{th}[/tex] unit.
From the question given:
We notice that the manager selects a sampling unit every 15th hour. This tells us that he is taking the sampling unit by the usage of a fixed time interval.
Hence, this appears to be a systematic sample.
A bag contains colored tiles.
. 3 tiles are red
.6 tiles are green
. 3 tiles are blue
A lile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
Answer:
50%
Step-by-step explanation:
there are 12 total, half are green
What is 4x - 8x + 11 + 24
I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answer:
6.07
Step-by-step explanation:
1) What number comes after 234 base 5. Explain
2)What number comes before 210 base 5. Explain
9514 1404 393
Answer:
1) 240
2) 211
Step-by-step explanation:
The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...
When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.
234₅ +1 = 240₅
210₅ +1 = 211₅
Which inverse operations could you use to solve the equation m/5 - 8 = -6? Select two answers.
A Add 8 to each side and then divide each side by 5
B. Add 8 to each side and then multiply each side by 5
C. Multiply each side by 5 and then add 40 to each side
D. Subtract 8 from each side and then multiply each side by 5
E Multiply each side by 5 and then add 8 to each side
Answer:
B and C seem to be the correct answers!
Hope this helps!
? how do I do this problem
Answer:
if im not wrong, youd distribute first.. check below !!
Step-by-step explanation:
5 (x - 3) > 15
5x - 15 > 15
5x > 30
5x/5 > 30/5
x > 6 !!!
i hope this helps !!!
Will give brainliest
Answer:
square, parallelogram, rectangle, rhombus
Step-by-step explanation:
Considering the answer choices:
Square
Regular pentagon
Parallelogram
Rectangle
Rhombus
It can't be a pentagon because it only has four sides.
Properties of the shapes:
Rectangle - quadrilateral with two sets of congruent opposite sides and four right angles.
Rhombus - quadrilateral with four congruent sides.
Square - quadrilaterals with all properties of rectangles and rhombi.
Parallelogram - rectangles, rhombi, and squares are parallelograms.
This shape satisfies the properties of a square, meaning it is also a rectangle, rhombus, and parallelogram.
If n<5, then n<3 true or false pls help me?!?
The most common IQ tests have a standardized mean of 100 and a standard deviation of 15. Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately what percentage of their scores will fall within one standard deviation of the mean
Answer:
Approximately 68% of their scores will fall within one standard deviation of the mean.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
By the Empirical Rule, approximately 68% of their scores will fall within one standard deviation of the mean.
Guys help me with this question please
Answer:
2/7
Step-by-step explanation:
From 8 am to 3 pm, there are 7 hours, and the price changed $2 (52 - 50 = 2)
In order to find the Change in price per hour, divide the total price change by the number of hours. (in most questions with the word "per", it is a division problem)
2$ / 7hrs = 2/7 dollars per hour
. If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?
The total distance traveled was 638.3m.
How to calculate the distance traveled?To calculate the perimeter of a circle we perform the following operations:
We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.
100m ÷ 2 = 50mSo the radius of this circle is 50m.
Subsequently, to find the perimeter of the circle we apply the following formula:
2 × π × radius of the circle = perimeter of the circle.2 × 3.14 × 50 = 314.15mAccording to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:
314.15m × 2 = 638.3m
Learn more about diameter in: https://brainly.com/question/9762612
Does anyone know?????
The measure of angle D is 55°, the measure of angle E is 85°, and
the measure of angle F is 10x. What is the value of x?
[tex]x = 4[/tex]
55+85=140
180-140=40
10x=40
divide by ten on each side
x=4
the longest side of a triangle is 10 cm which group of the line segments could form the other two sides of the triangle
5 cm and 5 cm
7 cm and 8 cm
9 cm and 10 cm
4 cm and 4cm
Answer:
7 cm and 8 c
Step-by-step explanation:
7 cm and 8 cm. Why? Because both are shorter than the longest side (10 cm) but add up to more than 10 cm.
Problem 3) A, B, and C are evenly matched tennis players. Initially A and B play a set and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players has won two sets in a row. That player is then declared the overall winner. Find the probability that A is the overall winner.
Answer:
the probability that A is the overall winner is 5/14 or 0.35714
Step-by-step explanation:
Given the data in the question;
probability that A is the overall winner P[A is the overall winner]
⇒ [tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex] [tex]P_{A}[/tex] + ................
= [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex] + ........
P(A) = [tex]\frac{1}{2}[/tex] = [tex]P_{B}[/tex] = [tex]P_{C}[/tex] ∴{ they are evenly matched player}
so P(A is overall winner) will be;
= ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁵ + ([tex]\frac{1}{2}[/tex])⁸ + ..........+ ([tex]\frac{1}{2}[/tex])⁴ + ([tex]\frac{1}{2}[/tex])⁷ + ([tex]\frac{1}{2}[/tex])¹⁰ + .............
= ([tex]\frac{1}{2}[/tex])² [1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........] + ([tex]\frac{1}{2}[/tex])⁴[1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........]
= [ ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁴ ] [ 1 / 1 - ([tex]\frac{1}{2}[/tex])³ ]
= [ ([tex]\frac{1}{4}[/tex]) + ([tex]\frac{1}{16}[/tex]) ] [ [tex]\frac{8}{7}[/tex] ]
= [tex]\frac{5}{16}[/tex] × [tex]\frac{8}{7}[/tex]
= 5/14 or 0.35714
Therefore, the probability that A is the overall winner is 5/14 or 0.35714
The probability that A is the overall winner is; 5/14
Let P be the chance that a player will win the tournament when he gets a new opportunity to play against the victor of the previous game.Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; [tex]P_{L}[/tex] = 0
However, If the player wins first, and then loses his next game, it means that such a player will have to hope for a new opportunity. What this implies is that the player to whom he lost to will not win the next game. The probability of this happening is; [tex]P_{WLX}[/tex] = ¹/₂ × ¹/₂ × ¹/₂;[tex]P_{WLX}[/tex] = ¹/₈
Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;
¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) + (¹/₄ × ¹/₈³ ) + ........
Now, for that series, as n approaches infinity, the sum of the series would give us;
∑ = ¹/₄(1/(1 - ¹/₈ ))
⇒ ¹/₄(⁸/₇)
⇒ ²/₇
Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;
[1 - (²/₇)]/2
⇒ ⁵/₇ × ¹/₂
P(A) = P(B) = ⁵/₁₄
Read more on probability at; https://brainly.com/question/24855677
William earns £9.30 for 1 half hours of work.
Work out how much he would earn for:
A) 30 minutes
B) 5 hours
Answer:
a)3.10
b)31
Step-by-step explanation:
a) 1 half hour = 90 min
90÷30=3
9.30÷3=3.10
b)5 hrs -> 300 min
300÷30=10
10x3.10=31