6.) At a concert, you purchase 4 CD's and a poster for a total cost of $80. The poster cost $12.
Write and solve an equation to find the cost of one CD.
Answer:
17$ per CD equation : 4x + 12 = 80
Step-by-step explanation:
4x + 12 = 80
80 - 12 (poster) = 68
68/4(cds) = 17
Open the graphing tool one last time. Compare the graphs of y=log (x-k) and y=log x+k in relation to their domain, range, and asymptotes. Describe what you see.
Answer:
sorry I don't know the answer
Answer:
For the equation y=log(x-k), the domain depends on the value of K. Sliding K moves the left bound of the domain interval. The range and the right end behavior stay the same. For the equation y=log x+k, the domain is fixed, starting at an x-value of 0. The vertical asymptote is also fixed. The range of the equation depends on K.
Step-by-step explanation:
helpppp...........................
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
Aaliyah is 3 times as old as AJ. 4 years ago, Aaliyah was 7 times as old as AJ. How old is Aaliyah now?
Answer:
Aaliyah is 18years old now
Step-by-step explanation:
let AJ's age=x
Aaliyah's age=3x
Four years ago,
AJ's age=x-4
Aaliyah's age=3x-4
3x-4=7(x-4)
3x-4=7x-28
3x-7x=-28+4
-4x=-24
x=6
Aaliyah's present age=3x=3×6=18
Michael grabs a marble from a bag. There are 5 green marbles and 1 red marble. If he grabs the red marble he loses everything he bet on. The marbles are not put back into the bag. The max amount of times Michael can bet on the same game is 4. If he bets 300 and wins 578 (having 278 as winnings), he has the choice to bet again with everything he earned for 682. Then he has the choice to do so again for 945, then 1312 at max. At what point in the game should Michael stop playing to gain the most given the percent of risk of losing the game? What point in the game is the least beneficial for Michael's gains?
First bet (300 -> 578)
Second bet (578 -> 682)
Third bet (682 -> 945)
Fourth bet (945 -> 1312)
If Michael wins every round he would go from 300 to 1312. If he loses, he doesn't gain any of the rewards and is 300 in debt.
Using the expected value of a discrete distribution, it is found that:
Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For the probabilities, we consider that it is given by the number of desired outcomes divided by the number of total outcomes.
For one bet, the distribution is given as follows:
P(X = 578) = 5/6 (5 green marbles out of 6).P(X = -300) = 1/6.Hence the expected value is given by:
E(X) = 578 x 5/6 - 300 x 1/6 = $431.67.
For two bets, the distribution is given as follows:
P(X = 682) = 5/6 x 4/5 = 2/3.P(X = -300) = 1/3.Hence the expected value is given by:
E(X) = 682 x 2/3 - 300 x 1/3 = $354.67.
For three bets, the distribution is given as follows:
P(X = 945) = 5/6 x 4/5 x 3/4 = 1/2.P(X = -300) = 1/2.Hence the expected value is given by:
E(X) = 945 x 1/2 - 300 x 1/2 = $322.5.
For four bets, the distribution is given as follows:
P(X = 1312) = 5/6 x 4/5 x 3/4 x 2/3 = 1/3.P(X = -300) = 2/3.Hence the expected value is given by:
E(X) = 1312 x 1/3 - 300 x 2/3 = $237.33.
Hence, considering the greatest and the smallest expected values, we have that:
Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
#SPJ1
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
Leans more about probability on
https://brainly.com/question/24756209
#SPJ1
Simplify 3\(\sqrt\)2-√2
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2
The expression. 3(5^2 +2x+4)-4(4x^2 +2x+3) equals?
Answer:
- x^2 - 2x
Step-by-step explanation:
3 ( 5x^2 + 4 + 2x) - 16x^2 -8x -12
15 x^2 + 12 + 6x - 16x^2 - 8x - 12
-x^2 - 2x
465.8 g = blank kg
Plz help if u can !!!!
Answer:
0.4658 kg
Step-by-step explanation:
Which property is used in the following calculation?
2(5⋅33)
(2⋅5)⋅33
10(33)
330
A Associative Property of Multiplication
B Identity Property of Multiplication
C Distributive Property
D Commutative Property of Multiplication
E None of these
The property used here is the associative property of Multiplication.
What is the Associative Property?According to the Associative property, when 3 or more numbers are added or multiplied, the result (sum or the product) remains the same even if the numbers are grouped in a different way. Here, grouping is done with the help of brackets. This can be expressed as, a × (b × c) = (a × b) × c and a + (b + c) = (a + b) + c.
Given here: 2(5⋅33)=(2⋅5)⋅33
=10(33)
=330
Clearly the property a × (b × c) = (a × b) × c is used here
Hence, The property used here is the associative property of Multiplication.
Learn more about associative property of multiplication here:
https://brainly.com/question/30111262
#SPJ1
Help me please and thank you
Answer:
ΔMXP, ΔXMP, ΔPMX
Step-by-step explanation:
A triangle has three sides and three points, so it can only be named using the three points, X, P and M.
Can you please help me fast
the inequality of the number line will be -6<x<2.
What is number line?
A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.
In this number line the max point its marked is 2
and the minimum point is -6
So the value of unknown x should lie in between
-6<x<2
So, the inequality of the number line will be -6<x<2.
Learn more about number line, by the following link
https://brainly.com/question/24644930
#SPJ1
Please I need help ASAP
Answer:
Option 3
Step-by-step explanation:
We are given the inequality:
y + 2 > 5
y > 5-2
y > 3
So we are looking for an inequality which starts from 3 but does not include 3
the option 3 is the only option which starts at 3 so it is the answer
pls help i need answer
Answer:
109 degrees
Step-by-step explanation:
23 + 48 = 71
180 - 71 = 109 :)
Answer:
i think the answer is 109 im not sure
Step-by-step explanation:
48+23=71 180-72=109
I need the answer for these 2
The inequalities in interval notation are given below
What is an inequality?
An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.
(ii) a > b indicates that a is bigger than b.
In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.
The inequalities in interval notation are given below:
(a) (0, 11)
(b) (9, 4]
To know more about an inequality, click on the link
https://brainly.com/question/27640560
#SPJ9
Triangle HIJ is similar to triangle KLM find the measure of side KL around your answer to the nearest tenth if necessary
The measure of side KL from triangle KLM is 22 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle HIJ is similar to triangle KLM.
From the similar triangles,
JH/MK =HI/KL
31/13.9 =49/KL
31KL=49×13.9
31KL=681.1
KL=681.1/31
KL=21.97
KL≈22
Therefore, the measure of side KL is 22 units.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ1
what is 0.8% of 35 plz help
Answer:
0.28
Step-by-step explanation:
Answer: 0.28
Step-by-step explanation: this is the answer bruh
HELP PLEASE DUE IN 10 MIN
The correct statement regarding the measure of variability used to represent the data is given as follows:
The IQR of 10 is the most accurate to use, as the data is skewed.
How to obtain the interquartile range?The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.
It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.
The charity received 18 donations, hence the quartiles are given as follows:
First quartile: 0.25 x 18 = 4.5th element = median of 10 and 15 = 12.5.Third quartile: 0.75 x 18 = 13.5th element = median of 20 and 25 = 22.5.Hence the IQR is given as follows:
IQR = 22.5 - 12.5
IQR = 10.
More can be learned about the interquartile range at brainly.com/question/12323764
#SPJ1
important guyz.....
what is the necessary condition to find the composite function of two functions?
Answer:
When two functions combine in a way that the output of one function becomes the input of the other, the function is a composite function.
Step-by-step explanation:
In mathematics, the composition of a function is a step-wise application. For example, the function f: A→ B & g: B→ C can be composed to form a function that maps x in A to g(f(x)) in C. All sets are non-empty sets. A composite function is denoted by (g o f) (x) = g (f(x)). The notation g o f is read as “g of f”
Write the equation that is the translation of y = |x|left 6 units and down 4 units.
y = |x-6|-4
y = |x+6|-4
y = |x-4|-6
y = |x+|-6
Answer:
y = |x-6|-4
Step-by-step explanation:
If the function is translated left 6, you subtract 6 from the x value. Then if you go down 4, you are subtracting 4 from the y value. Before going down, y = |x-6|. So subtract 4 from that and you get y = |x-6|-4.
blood carries a drug into an organ at a rate of 3 cm^3/sec and leaves at the same rate. the organ has a liquid volume of 150 cm^3. the concentration of the drug in the blood entering the organ is 1/3 gm/cm3. what is the mass of the drug in the organ at time t if there was no trace of the drug initially?
The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.
At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).
Therefore, the mass of the drug in the organ at time t is 150 gm.
To learn more about the mass:
https://brainly.com/question/17783053
#SPJ4
44+ 7/8r when r = -1/2
\(44+\cfrac{7}{8}r\implies 44+\cfrac{7}{8}\left( -\cfrac{1}{2} \right)\implies 44-\cfrac{7}{16}\implies \cfrac{(16)44~~ - ~~(1)7}{\underset{\textit{we'll use this LCD}}{16}} \\\\\\ \cfrac{704~~ - ~~7}{16}\implies \cfrac{697}{16}\implies 43\frac{9}{16}\)
Yall i need this to be corret please explain giving brainliest:)
5. Abbey and Blanca are playing games at the arcade in the mall. Abbey has $20 and is playing a
game that costs 50 cents per game. Blanca arrived at the arcade with $22 and is playing a game that
costs 75 cents per game.
(a) Create two linear equations below that give the amount that each girl has left as a function of the
number of games they have played.
Let the number of games played = x.
A=
B =
(b) After how many games will the two girls have the same amount of money left?
(c) How much money do they have at this point?
Answer:
A = 0.50x+20
B= 0.75x+22
4 games
$19
Step-by-step explanation:
For abbey, the 20 dollars she starts with is the initial value. the 50 cents per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be A = 0.50x + 20. For Bianca, the 22 dollars she starts with is her initial value. the 75 centers per game would be the constant rate of change/slope. So, the equation(y=mx+b) would be B = 0.75x + 22.
We can find out when they will have the same amount of money left by making two small tables -> one for abbey and one for Bianca.
Abbey: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)
21.502019.501918.50Bianca: (the number is the number of games and the corresponding value next to it is the amount of money left ---- its kind of hard to make a table on BRAINLY)
21.2520.519.751918.25For both girls after four games, they have the same amount of money- $19.
There are three different size bags of the same dog food shown below with the price for each bag. Based on the price per ounce, order the bags from
least expensive to most expensive.
= 32oz for $7 37
= 48oz for $9.50
= T2oz for $17.99
Answer:addaddition
Step-by-step explanation:
just adddd all
What are two pairs of opposite sides that are parallel and congruent?
Parallelogram have two pairs of opposite sides that are parallel and congruent.
In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.
For example, let's consider a parallelogram ABCD:
Side AB is parallel and congruent to side CD.Side AD is parallel and congruent to side BC.These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).
Learn more about Parallelogram here:
https://brainly.com/question/28854514
#SPJ1
Find the distance between the points (-5,4) and (1,0). Round to at least the nearest hundreth.
The distance between the points (-5,4) and (1,0) is 7.21 .
In the question ,
it is given that ,
the two points are (-5,4) and (1,0) ,
we have to find the distance between them .
we know that the distance between the points (x₁ , y₁) and (x₂ , y₂) is calculated using the distance formula
distance = √(y₂ - y₁)² + (x₂ - x₁)²
Substituting the values of the points , we get
distance = √(0 - 4)² + (1 -(-5))²
= √(-4)² + (1 + 5)²
= √16 + (6)²
= √16 + 36
= √52
= 7.21111
≈ 7.21
Therefore , The distance between the points (-5,4) and (1,0) is 7.21 .
Learn more about Distance here
https://brainly.com/question/17986919
#SPJ9
witch expression is equivalent
The equivalent expression of -14 - 6 is -14 - (+6)
What are equivalent expression?Equivalent expressions are expressions that have the same value when evaluated
How to determine the equivalent expression?The expression is given as:
-14 - 6
Put the terms of the expression in brackets
-14 - (6)
Rewrite 6 as +6
-14 - (+6)
Hence, the equivalent expression of -14 - 6 is -14 - (+6)
Read more about equivalent expression at
https://brainly.com/question/2972832
#SPJ1
Write the word sentences as an inequality.
A number k is less than 10.
An inequality that represent this word sentences is?
Answer:
k<10
Step-by-step explanation:
Davis is trying to decide between two part time jobs on Saturdays. He could make $16.25 per hour working
at the city's ice arena, but getting to work and back would cost him $7.50 round trip for travel. His other
option is to work as a dog walker in his neighborhood for $12.50 per hour but he can ride his bike or walk
there for free. He estimates he could work up to 7 hours at the arena but up to 10 hours walking dogs. He
always works at least 1 hour if he goes to the arena.
1. Write two different functions that represent Davis's gross wages, where h is the number of
hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and
d(h) is his gross wages from walking dogs.
1. State the domain and range for each function.
2. If Davis works 1 hour, what would be his gross pay at each job? What if he worked 6 hours?
3. Davis wants to know what his net pay, also called take-home pay, is going to be. Assume that
10.5% of just his paycheck, not his travel expenses, is withheld for taxes at the arena. Because
dog walking is a self-employed activity, Davis estimates he needs to set aside 18% of his income
for taxes. Modify your functions from question 1 to model net pay including these tax
withholdings.
4. State the domain and range for each of these new functions.
1) Two different functions that could represent Davis' gross wages, where h is the number of hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and d(h) is his gross wages from walking dogs are:
Function A: a(h) = 16.25h - 7.50
Function B: d(h) = 12.50h
2) If Davis works 1 hour, his gross pay at each job is:
1 Hour 6 Hours
a) $16.25 $97.50
b) $12.50 $75
3) To find Davis' net pay after tax, the modified functions in question 1 are as follows:
Function A: a(h) = (16.25h - 7.50)(1 - 0.105)
Function B: d(h) = 12.50h(1 - 0.18)
4) The domain and range for each of these new functions are:
Domain Range
a) Function A [1, 2, ... 7] [7.83, 15.66, ... 54.81]
b) Function B [1, 2, ... 12] [10.25, 20.5, ... 123]
What are the domain and range of a function?The domain refers to all the possible values of the independent (input) variables.
The range refers to the possible values of the dependent (output) values.
Data and Calculations:Arena Dog Walking
Pay rate per hour $16.25 $12.50
Travel expense $7.50 $0
Maximum hours worked 7 hours 10 hours
Gross pay for one hour $16.25 $12.50
Gross pay for 6 hours $97.50 $75
After
Tax 10.5% 18%
After-tax factor (1 - 0.105) (1 - 0.18)
Learn more about the domain, range, and functions at https://brainly.com/question/10197594
#SPJ1