The equation that shows the relationship "64% of y is 40" is:
0.64y = 40
To solve for y, we can isolate y by dividing both sides of the equation by 0.64:
0.64y / 0.64 = 40 / 0.64
y = 62.5
Therefore, the value of y that satisfies the given relationship is 62.5.
Write an equation for the graph below which represents a logarithmic function f with base 2 or 3 translated and/or reflected. X=3 (7,1) (5,0) (4,-1)
Answer:
The answer is "\(\log(x-3)- \log(2)\)"
Step-by-step explanation:
The asymptote is that when the group is 0 within. Let's all assume that log base 2 is: Log(ax-b); a position mostly online also they know. Let's use this (5,0) and log(5a-b)=0; they get out of it 5a-b=1; now that the results for a and b must be known. So we can say unless the asymptote is x=3, 3a-b=0; then we have the equations system, and with a and b we can solve
\(\to b=5a-1 \\\\ \therefore\\\\\to 3a-(5a-1)=0\\\\\to 3a-5a+1=0\\\\\to -2a+1=0\\\\\to -2a=-1\\\\\to a=\frac{1}{2} \ and\ b= \frac{3}{2}\)
\(\to \log(\frac{x}{2}-\frac{3}{2})\\\\\to \log(\frac{(x-3)}{2})\\\\\to \log(x-3)- \log(2)\)
Which graph shows y=2⌈x⌉−3? ty <3
Top Left: A
Top Right: B
Down Left: C
Down Right: D
Answer:
Down Right: D or Down Left C
Step-by-step explanation:
y, x
not
x, y
l
neg, pos l pos, pos
l
-- -- -- + -- -- --
l
neg, neg l pos, neg
l
I chose D at first because 2, -3 and I thought you were referring to the quadrants (1 2 3 &4) but if you were referring to the picture (top left, top right, down left, down right) then the answer would be "Down Left: C" because there is a dot on the x y axis's of 2, -3
<3 Enjoy,
Dea
How are pairs of parallel lines and skew lines similar and different?
Answer:
Two or more lines are parallel when they lie in the same plane and never intersect. ... Skew lines are lines that are in different planes and never intersect. The difference between parallel lines and skew lines is parallel lines lie in the same plane while skew lines lie in different planes.
Step-by-step explanation:
hope it helps ^^
In the figure, m∠4=74°
and m∠3=43°
. Find m∠1
and m∠2
.
Answer:
Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:
m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)
m∠4 = m∠2 (since angles 2 and 4 are vertical angles)
Substituting m∠4 = m∠2 into the first equation, we get:
m∠2 + m∠3 = 180
Now we can solve for m∠2 and m∠3:
m∠3 = 43 (given)
m∠2 = 180 - m∠3 = 180 - 43 = 137
Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:
m∠1 = 180 - m∠2 = 180 - 137 = 43
Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.
Please help, I’ll mark your answer as brainliest.
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
Learn more about the sound wave here,
https://brainly.com/question/21995826
#SPJ1
DIRECTIONS: Find the area of the shaded region.
Which statement about the linear equation 3a + 1 over 3(6a −9) = 1 over 2(10a − 6) is true?
A
The equation has exactly one solution at a = 0.
B
The equation has an infinite number of solutions.
C
The equation has exactly one solution at a = 1.
D
The equation has no solutions.
The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)
What is a linear equation?A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.
On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.
To justify the above answer, we state the linear equation above:
3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have
3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have
5a -3 = 5a -3
Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.
Learn more about Linear equations;
https://brainly.com/question/11897796
#SPJ1
ahmed throws a ball to john. The ball travels 10m in x m/s.
a) write an expression in terms of x for the time taken for the ball to reach john
john throws the ball to pierre over a distanxce of 15m in 0.5 m/s less than the timw taken for the ball to reach john from ahmed.
b) write an expression in terms of x for the time taken for the ball to go from john to pierre.
the time taken between john catching the ball and then throwing it to pierre is 2 seconds . the total time taken from ahmed to pierre in 7 seconds. write an equation to show that it simplifies to 2x^2-9x-2=0
Given statement solution is :- a) The expression for the time taken for the ball to reach John is:
Time1 = 10 / x.
b) The expression for the time taken for the ball to go from John to Pierre becomes:
Time2 = (10 / x) - 0.5
c) The equation with a positive x, we can multiply both sides by -1:
-1 * (2x^2 - 9x - 2) = 0
This simplifies to:
-2x^2 + 9x + 2 = 0
a) The time taken for the ball to reach John can be calculated using the formula:
Time = Distance / Speed
In this case, the distance is 10m and the speed is x m/s. Therefore, the expression for the time taken for the ball to reach John is:
Time1 = 10 / x
b) The time taken for the ball to go from John to Pierre can be calculated as:
Time2 = Time1 - 0.5
Since Time1 is already expressed as 10 / x, the expression for the time taken for the ball to go from John to Pierre becomes:
Time2 = (10 / x) - 0.5
c) Let's calculate the time taken by Ahmed to throw the ball to John, John to throw the ball to Pierre, and the time between John catching and throwing the ball.
Total time = Time1 + Time2 + 2
Given that the total time is 7 seconds, we can write the equation:
Time1 + Time2 + 2 = 7
Substituting the expressions for Time1 and Time2:
10 / x + (10 / x) - 0.5 + 2 = 7
Simplifying the equation:
(10 + 10 - 0.5x) / x + 2 = 7
(20 - 0.5x) / x + 2 = 7
Multiplying through by x to eliminate the denominator:
20 - 0.5x + 2x = 7x
Combining like terms:
1.5x - 20 = 7x
Bringing all terms to one side:
1.5x - 7x = 20
-5.5x = 20
Dividing by -5.5:
x = -20 / 5.5
Simplifying:
x = -4/11
To rewrite the equation with a positive x, we can multiply both sides by -1:
-1 * (2x^2 - 9x - 2) = 0
This simplifies to:
-2x^2 + 9x + 2 = 0
For such more questions on Time Equations
https://brainly.com/question/26969687
#SPJ8
a teacher gives a test with 15 questions that is worth 35 points It includes multiple choice questions worth 1 point each and short response questions worth 5 points each how many short responses and multiple choice questions are there
There are 10 multiple choice questions and 5 short response.
How to calculate the value?The following can be deduced:
The teacher gives a test with 15 questions that is worth 35 points.
Multiple choice questions = m = 1 point each
Short response questions = s = 5 points
The equation will be:
a + s = 15
a + 5s = 35
Subtract
4s = 20
Divide
s = 20/4
s = 5
Number of short response questions = 5
Number of multiple choice will be:
a + s = 15
a + 5 = 15
a = 15 - 5
a = 10
Multiple choice = 10
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters
take 10 hours. Mary would like to spend no more than 40 hours per week knitting
and knit at least 5 items per week.
What are two possible solutions she could knit based on this word problem?
(Select the 2 correct options.)
A. 3 scarves and 4 sweaters
B. 6 scarves and 3 sweaters
C. 10 scarves and 1 sweater
D. 2 scarves and 2 sweaters
Answer:
c and d
reason:
they dont go over 40 hours
7 pounds of turkey cost $24.64. What is the price per ounce?
Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
\(\boxed{y=\dfrac{-5}{2}x+1}\)
#95141404393
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much cheese does she use for each pizza? At this rate, how much cheese will she need to make 15 pizzas?
Answer:
vkigiots88558s,utt8z85a85a5s85t8s84
Answer:
a. She uses 2.5 ounces per personal pizza
b. At this rate, she will need 37.5 ounces of cheese to make 15 pizzas
Step-by-step explanation:
a. 10/4= 2.5
b. (2.5)x15= 37.5
Determine whether descriptive or inferential statistics were used in the statement. There were 79.6 persons per square mile in the United States in 2008. (Source: US Census) w A. Descriptive B. Inferential
In the statement "There were 79.6 persons per square mile in the United States in 2008" Descriptive statistics is used. So , the Option A is correct answer.
The statement provides a summary statistic (mean or average) that describes a characteristic of a large set of data (population) without making any inferences about the population based on a sample. Descriptive statistics provide a way to organize, summarize, and describe data by calculating measures such as the mean, median, mode, and range, among others.
Descriptive statistics is a branch of statistics that deals with the collection, organization, analysis, interpretation, and presentation of data. It provides a way to summarize and describe the main features of a set of data, without making inferences about the population based on a sample.
To learn more about statistics click on,
https://brainly.com/question/28604901
#SPJ4
Please hurry, and thank you.
Answer:
x = -7/2
y = -13/2
Step-by-step explanation:
Solve for y in the first equation.
y = 4 + 3x
Put y as 4 + 3x in the second equation and solve for x.
-9x + 5(4 + 3x) = -1
-9x + 20 + 15x = -1
6x + 20 = -1
6x = -21
x = -21/6
x = -7/2
Put x as -7/2 in the first equation and solve for y.
y = 4 + 3x
y = 4 + 3(-7/2)
y = 4 + -21/2
y = -13/2
In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
Learn more on confidence interval: https://brainly.com/question/15712887
#SPJ1
What is the solution set of the equation 2z+6z+2=3−1z
Note: z≠0,−2
Answer:
z = 1/9
Step-by-step explanation:
2z + 6z + 2 = 3 - 1z
2z + 6z + 1z = 3 - 2 (on rearranging)
9z = 1 (on solving)
z = 1/9
HOPE IT HELPS (✿^‿^)
Which numbers are 0.6 units away from 1.3 on a number line
1.9 and 0.7 because you have to add 0.6 and 1.3 to get one of the numbers and you have to subtract 0.6 from 1.3 to get the other number
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Question 1
1 pts
Why is the Fibonacci sequence recursively defined?
The Fibonacci sequence is recursively defined because the sequence starts with the term 0
The Fibonacci sequence is recursively-defined because you can use the formula to find the value of any term
in the sequence without knowing the values of the previous terms.
The Fibonacci sequence is recursively-defined because you must know the values of the two previous terms
in order to find the value of the next term
The Fibonacci sequence is recursively-defined because all sequences can be expressed explicitly
The true statement about why the Fibonacci sequence is recursively defined is (c) The Fibonacci sequence is recursively-defined because you must know the values of the two previous terms in order to find the value of the next term
How to determine the true statementWith an exception to the first two terms, each term of the Fibonacci sequence is the sum of the two previous terms
This means that,
The Fibonacci sequence cannot be defined explicitly, because the two previous terms can not be determined by a direct formula
Hence, the true statement about why the Fibonacci sequence is recursively defined is (c)
Read more about the Fibonacci sequence at:
https://brainly.com/question/16934596
Please explain step by step how you will answer the equation 4(x+6)-11= 25. You
may write down the problem and explain it when you are solving the equation.
Answer:
x=3
Step-by-step explanation:
4(x+6)-11= 25
Distribute the 4: 4x+24-11=25
Add the 11 on both sides: 4x+24=36
Subtract 24 from both sides: 4x=12
Divide 12 by 4 to isolate x: x=3
I hope this helped, please mark Brainliest, thank you!
What percentage of births occur among women between the ages of 36 and 38?
Answer:
200%
Step-by-step explanation:
2 multiplied by 100
What is the probability of drawing to green cards if the first card is replaced before the second draw assume the first card drawn is a green
If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.
If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.
Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.
The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.
To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:
P(drawing two green cards) = 1 x 12/51
Simplifying this expression, we get:
P(drawing two green cards) = 12/51
Therefore, the probability of drawing two green cards is approximately 0.235.
To learn more about card drawn please click on below link
https://brainly.com/question/30505132
#SPJ1
five more than twice a number is less than negative nineteen. Solve the inequality for this unknown number.
Answer:N<-12
Step-by-step explanation:
5+2n<-19
Subtract 5 from both sides
2n< -24
Then divide both sides by two
N<-12
In the figure, ∠6 is an exterior angle to (square) AUL.
A: Explain why m∠6 is equal to the sum of the measures of the two nonadjacent interior angles.
B: What is m∠6?
Answer:
Answer:
Part A∠6 + ∠3 = ∠PAL - angle addition∠PAL = 180° - straight angle∠6 + ∠3 = 180° - substitution∠6 = 180° - ∠3 (1)ΔAUL has
∠1 + ∠2 + ∠3 = 180° - property of triangles∠1 + ∠2 = 180° - ∠3 (2)(1) and (2) have RHS same, therefore LHS also same:
∠6 = ∠1 + ∠2Part B∠6 = ∠1 + ∠2 - givenSubstitute measures
∠6 = 52° + 33° ∠6 = 85°Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
2. The transformations are given as follows:
Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.3. The transformations are given as follows:
Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.How to define the transformations?For item 2, the transformations in this problem are given as follows:
Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.For item 3, the transformations are given as follows:
Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.More can be learned about translations at brainly.com/question/28174785
#SPJ1
I need explanation for example 8.
Thankyou
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
To know more about probability here
https://brainly.com/question/11234923
#SPJ1
Please awnser asap I will brainlist
Answer:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Step-by-step explanation:
Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.
Write the equations:
V + S + L = 310 (total number of vehicles)
V = 2S (twice as many vans as small trucks)
35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)
Substitute equation 2) into equation 1):
2S + S + L = 310
3S + L = 310
Simplify equation 3) by substituting V = 2S:
70,000S + 70,000S + 60,000L = 15,000,000
140,000S + 60,000L = 15,000,000
Set up a system of equations:
3S + L = 310
140,000S + 60,000L = 15,000,000
Eliminate L by multiplying equation 1) by 60,000:
60,000(3S + L) = 60,000(310)
180,000S + 60,000L = 18,600,000
Subtract equation 2) from the new equation:
(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000
40,000S = 3,600,000
Solve for S:
S = 90
Substitute the value of S into equation 1) to solve for L:
3(90) + L = 310
270 + L = 310
L = 40
Substitute the values of S and L into equation 2) to solve for V:
V = 2S
V = 2(90)
V = 180
The final answer is:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Answer:
180 Vans 90 Small trucks and 40 Large trucks
Step-by-step explanation:
z varies directly as √√x and inversely as y. If: = 179 when x=25 and y= 7, find zifx = 64 and y = 4. (Round off your answer to the nearest hundredth.)
z=
We know that z varies directly as √√x and inversely as y, which can be written as:
z = k(√√x)/y
where k is the constant of proportionality.
To find the value of k, we can use the values given when x = 25 and y = 7:
179 = k(√√25)/7
179 = k(5/7)
k = (179*7)/5
k = 250.6
Now we can use this value of k to find z when x = 64 and y = 4:
z = 250.6(√√64)/4
z = 250.6(2)/4
z = 125.3
Therefore, z ≈ 125.3 when x = 64 and y = 4.
Subscriptions to a fashion magazine have gone down by a consistent 10% each year. If the magazine currently has 39,000 subscribers, how many will there be in 2 years?
Answer:
31590
Step-by-step explanation:
After first year it would be 35100. After second year it would be 31590.
Answer:
32,200
Step-by-step explanation:
32,200 because 10% of 39,000 is 3,900 and so you multiply 3,900 by 2 to get 7,800 and you do 39,000 - 7,800 which then you get 32,200
Please mark Brainliest