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]
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!
help please please it’s due soon
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:
PLEASE HELP ASAP !!!!!
Find the unit rate for each problem.
1. 64 books on 4 shelves = ? books per shelf
2. 36 flowers in 3 bouquets = ? flowers per bouquet
3. 25 rulers in 5 groups = ? rulers per group
4. 45 points in 3 games = ? points per group
5. 10 hours to drive 550 miles = ? miles per hour
6. 24 pieces of candy in 3 bags = ? pieces per bag
7. 92 dollars for 2 video games = ? dollars per video game
The question mark stands for the answer !!!
Answer:
1. 16
2. 12
3. 5
4. 15
5. 55
6. 8
7. 46
:)
Find the perimeter. Use 3.14 for pi.
Step-by-step explanation:
perimeter=4×6-1/4 ×2π×3=24-1/2×3.14×3=24-4.71=19.29cm
Simplify.
−y − 7x + 6y
The simplified expression is
1. Collect like terms.
(-y+6y)-7x
2. Simplify it.
5y-7x
-------
The simplified expression is 5y-7x ^^
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.
A jar contains n nickels and d dimes. There are 22 coins in the jar and a total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
Answer:
1.50 + 22
Step-by-step explanation:
23.5
Answer:
12 nickels. 9 dimes
Step-by-step explanation:
12 nickels is equal to 60 cents
9 dimes equals 90 cents
90 plus 60 equals 150 which is $1.50
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.
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.
f (x)= 1/x-4 -6. Find the inverse of f(x) and its domain.
Answer:
B Or D
Step-by-step explanation:
The inverse function is [tex]f^{-1}(x) = \frac{1}{x + 6} + 4[/tex] and the domain is [tex]x \ne 6[/tex]
The function is given as:
[tex]f(x) = \frac{1}{x - 4} - 6[/tex]
Express f(x) as y
[tex]y = \frac{1}{x - 4} - 6[/tex]
Swap the positions of x and y
[tex]x = \frac{1}{y - 4} - 6[/tex]
Add 6 to both sides
[tex]x + 6= \frac{1}{y - 4}[/tex]
Multiply both sides by y-4
[tex](x + 6)(y -4) =1[/tex]
Divide both sides by x + 6
[tex]y - 4 = \frac{1}{x + 6}[/tex]
Add 4 to both sides
[tex]y = \frac{1}{x + 6} + 4[/tex]
Rewrite as:
[tex]f^{-1}(x) = \frac{1}{x + 6} + 4[/tex]
Hence, the inverse function is [tex]f^{-1}(x) = \frac{1}{x + 6} + 4[/tex] and the domain is [tex]x \ne 6[/tex]
Read more about inverse functions at:
https://brainly.com/question/8120556
An engineer makes a model of a bridge using a scale of 0.5 cm = 3 feet. The length of the actual bridge is 123 feet. What is the length of the model?
Answer:
20.5 cm
Step-by-step explanation:
Set up a proportion where x is the length of the model in cm:
[tex]\frac{0.5}{3}[/tex] = [tex]\frac{x}{123}[/tex]
Cross multiply and solve for x:
3x = 61.5
x = 20.5
So, the model's length is 20.5 cm
What is 4x - 8x + 11 + 24
Explain why this relationship is not proportional.
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
number 5 pls pls pls i need it nowww
Answer:
4.583
Step-by-step explanation:
[tex]\frac{6+8+15+18+18+21+24}{24} \\=110/24\\=4.583[/tex]
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
a vase in the shape of a cube measures 8 inches on each side. the vase is half full of water. how many cubic inches water are in the vase?
Answer:
64 cubic inches
Step-by-step explanation:
i think...
8×½=4
4×4×4 (cubed is lengtg×width×height)
64 cubic inches
Pls help extra points and mark brainlist
Answer:
I think the answer is 3/4^2
Answer:
1/2
Step-by-step explanation:
Find x. (More info in the pic)
If x is a positive integer, and x = 3y = 6z, what is the value of x + y in terms of z?
F. 3z
G. 5z
H. 8z
J. [tex]\frac{25}{3} z[/tex]
K. [tex]\frac{31}{3}z[/tex]
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.
Please help I’ll mark you as brainliest if correct!
Answer:
45 i think
Step-by-step explanation:
Which equation has exactly one solution?
7
x
=
7
7 x is equal to 7
7
x
=
7
x
7 x is equal to 7 x
x
+
1
=
x
+
1
x plus 1 is equal to x plus 1
x
+
1
=
x
+
2
Step-by-step explanation:
The correct option is first option
7x = 7
Hope it will help :)
Step-by-step explanation:
1st one is your answer look it once
what is the equivalent property of 3(3x - 7)
The difference of five times a number and 11 is 39
Answer:
no
Step-by-step explanation:
I mean the point s is hi
what is the distance between
11 degree c and 15 degree c
Answer:
Uhm would it be 4 c?
Step-by-step explanation:
Answer:
4 degree c
Step-by-step explanation:
15-11=4
A basketball hoop is 15 feet tall. The angle of elevation to the hoop from Jasmine is 75 degrees. How far away is Jasmine from the base of the basketball hoop (horizontal distance)? Round to the nearest hundredth.
Answer:
75 Feet
Step-by-step explanation:
123
jk
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