The manager is correct because the number of children, 0.25(n + 244), is equivalent to the manager's expression, 0.25n + 61.
=======================================================
Explanation:
There are 244 men and n women giving 244+n total people, which is the same as n+244.
25% of this is 0.25(n+244)
Distribute that 0.25 through to each term inside the parenthesis
0.25 times n = 0.25n0.25 times 244 = 61There are 0.25n+61 children at this mall which is equivalent to 0.25(n+244)
In other words,
0.25(n+244) = 0.25n+61
is a true equation regardless of what value of n you pick. Both sides are identical.
Answer: THE ANSWER IS D!
Step-by-step explanation:
12 units to the right of 0 on a number line
\(12units \: to \: the \: right \: of \: the \: 0 \)
Answer:
the answer is 13
Step-by-step explanation:
VERY IMPORTANT DBA !!!
Table C represents a linear relationship that is also proportional. This is because the ratio of the output (y) to the input (x) is always constant, which is a characteristic of proportional relationships.
What is a linear equation?
A linear equation is an algebraic equation that represents a straight line on a graph. In general, a linear equation takes the form:
y = mx + b
A linear relationship between two variables, x and y, is one in which the change in y is directly proportional to the change in x. This means that for any change in x, there is a corresponding change in y that can be expressed as a constant multiple of x.
For example, if we have a linear relationship y = mx + b, where m is the slope of the line and b is the y-intercept, then if we increase x by 1 unit, y will increase by m units. This relationship holds true for all values of x and y along the line.
A proportional relationship, on the other hand, is a special case of a linear relationship in which the ratio of y to x is always the same constant. This means that if we increase x by 1 unit, y will increase by a constant multiple of x. In other words, the relationship between x and y is one of scaling, where the size of y is always a fixed multiple of the size of x.
Therefore, Table C represents a linear relationship that is also proportional. This is because the ratio of the output (y) to the input (x) is always constant, which is a characteristic of proportional relationships.
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Find all the roots for the polynomial,
32x2 -108 = 0
Answer:
x=-1.837 or 1.837
Step by Step explanation:
Use the standard form,ax²+bx+c=0 , to find the coefficients of our equation, :
q = 32
b= 0
c= -108
x=-1.837 or x=1.837
I hope this is helpful
pls tag brainliest answer
Use the symbols <, >, = to compare the following numbers.
|-32| _____ |37|
Answer:
easy, the 37 is larger
Step-by-step explanation:
you owe -32 but you have more than that.
Work out the value of f in the following equation:
f sin 42° = 2.5
Give your answer to 2 d.p.
Answer:
f = 3.74
Step-by-step explanation:
f sin 42° = 2.5
f = 2.5 (sin 42° = 0.669)
sin 41°
= 3.736
= 3.74 (2.d.p.)
The value of f in the given equation is 3.74.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is,
f sin 42° = 2.5
Dividing both sides of the equation by sin 42°,
f = 2.5 / sin 42°
f = 3.74
Hence the value of f is 3.74.
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pesky children keep playing in Maya's yard. She wants to put a fence around her yard to keep those rebel rousers out. Her front lawn is 50 ft wide and 20 ft deep. She only wants to fence two sides and front, since the 4th side is her house. How many feet deep of fencing does she need?
Answer:
90
Step-by-step explanation:
50+20+20=90
pls vote me brainliest i need the points.
Mhanifa please help! This is due soon
Answer:
1) x²=256-64
x=8√3
2). x²=200+81
x=√281
3). x²=169+36
x=√205
3).
Step-by-step explanation:
here's your solution
==> in figure 1,
= perpendicular^2 = hypotenuse^2 - base^2
= x^2 = 16^2 - 8^2
= x^2 = 256 - 64
= x^2 = 192
= x = √192
= x = 13.85
==> in figure 2,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 40^2 + 9^2
= x^2 = 1600 + 81
= x^2 = 1681
= x = √1681
= x = 41
==> in figure 3,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 13^2 + 6^2
= x^2 = 169 + 36
= x^2 = 205
= x = √205
= x = 14.31
\(hope \: it \: helps.....\)
The Federal Reserve buys $10. 00 million in Treasury securities. If the required reserve ratio is 5. 00%, and all currency is deposited into the banking system, and banks hold excess reserves of 10%, then the maximum amount the money supply can increase is $
The maximum amount the money supply can increase is $66.7 million.
To calculate the maximum amount the money supply can increase, we need to consider the concept of the money multiplier. The money multiplier represents the factor by which an initial change in reserves can increase the money supply through the lending and deposit creation process.
In this case, the required reserve ratio is 5%, meaning that banks are required to hold 5% of their deposits as reserves. The remaining portion, which is 95%, can be used for lending and creating new deposits.
Additionally, banks hold excess reserves of 10%, which means that they choose to hold an additional 10% of their deposits as reserves beyond the required amount.
To calculate the money multiplier, we can use the formula:
Money Multiplier = 1 / (Required Reserve Ratio + Excess Reserves Ratio)
In this case, the required reserve ratio is 5% (0.05) and the excess reserves ratio is 10% (0.10).
Money Multiplier = 1 / (0.05 + 0.10) = 1 / 0.15 = 6.67
The money multiplier tells us that for every dollar of reserves, the money supply can potentially increase by $6.67.
Since the Federal Reserve buys $10.00 million in Treasury securities, we can multiply this amount by the money multiplier to determine the maximum potential increase in the money supply:
Maximum Increase in Money Supply = $10.00 million * 6.67 = $66.7 million
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18) The profit that the vendor makes per day by selling x pretzels is given by the function
P(x) = -0.004x2 + 2.8x - 100. Find the number of pretzels that must be sold to maximize profit.
A) 390 pretzels
B) 350 pretzels
C) 700 pretzels
D) 1.4 pretzels
Answer:
B) 350 pretzels=====================
GivenFunction P(x) = - 0.004x² + 2.8x - 100To findThe value of x, which makes the P(x) maximumSolutionThis is a quadratic function and it can get maximum at vertex.
The x-coordinate of the vertex is determined by x = - b/(2a).
We have:
a = - 0.004 and b = 2.8Find the value of x:
x = - 2.8 / (2* (-0.004)) = 350Correct choice is B.
please help i have no clue how to this any tips appreciated:))
Answer:
\( \displaystyle PW = \underline{ \quad18 \quad}\)
Step-by-step explanation:
by tangent property we acquire:
\( \displaystyle 3x - 6 = x + 10\)
add 6 to both sides:
\( \displaystyle 3x= x + 16\)
cancel x from both sides:
\( \displaystyle 2x= 16\)
divide both sides by 2:
\( \displaystyle x= 8\)
so,
\( \displaystyle PW = 3x - 6\)
plug in the got value of x:
\( \displaystyle PW = 3.8 - 6\)
simplify multiplication:
\( \displaystyle PW = 24- 6\)
simplify Substraction:
\( \displaystyle PW =18\)
hence, The measure of PW is 18 unit
The Ridgewood Middle School student council has $400 in the treasury. They need to spend $45 on a banner. The rest is to be divided equally among four committees for expenses for the dance. How much can each committee spend to stay within this budget?
Answer:
they must spend 88.75 or less
Step-by-step explanation:
i just did it and it 100 percent right now trust me
(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3
Answer:
I think its 6/5 or 2/3
Step-by-step explanation:
Answer:
1. A
2. C
3. D
4. C
5. D
Step-by-step explanation:
You're welcome
$115. Today, the price rose to $161. Find the percentage increase.
$
?
Answer:
40%
Step-by-step explanation:
Please help me out with this question please...
Answer: B) No, every x-value does not have exactly one y-value
Explanation:
We have the input x = 3 map to the outputs y = 2 and y = 8 at the same time. A function is only possible if any given x value goes to exactly one y value.
Put another way, if x repeats itself, then we don't have a function. This assumes we don't repeat the same y value when we repeat the x value.
You are buying fabric to make a patio umbrella in the shape of a regular hexagon, as shown. The blue fabric costs $3.50 per square yard and the white fabric costs $2 per
square yard. You can only order whole numbers of square yards of fabric. What will be the cost of the fabric for this project?
5 ft
3
Answer:
cost of the fabric = $22
Step-by-step explanation:
The picture is a regular hexagonal which means it has six sides of equal length. The triangle in the hexagons are equilateral triangle. This means they have equal length. The blue portion is just like half the area of the hexagon while the white part is also half the area . Note both colors cover 3 triangle each.
area of the hexagon = 3/2 × √3 × a²
where
a = sides
area of the hexagon = 3/2 × √3 × a²
a = 5 ft
convert ft to yard
3 ft = 1 yard
5 ft = 5/3 = 1.6666666667 yards
area = 3/2 × √3 × 1.6666666667²
area of the hexagon = 7.21687836516 yard²
Half of the area is the blue section area because 3 triangle makes half of the hexagon = 7.21687836516/2 = 3.60843918258 yard². Note we can only order whole number of square fabric . Therefore, 3.60843918258 ≈ 4
blue fabric cost $3.50 per square yard.
The cost for this yard = 4 × 3.50 = $14
white fabric cost $2 per square yard .
The cost for this yard = 4 × 2 = $8
Total cost = 14 + 8 = $22
cost of the fabric = $22
do you ever realize the human cut down bird houses to make bird houses
Answer:
Yes
Step-by-step explanation:
Sure did. It's all wood. and actually, natural bird houses are better for the birds, but they're in short supply with a demand for lumber.
Multiply 10 by a, then raise the result to the 5th power.
Answer:
it would just be 10a^5 since we dont know what a is
Step-by-step explanation:
Answer:
10a^5
To solve this problem, we first have to look at what we know and what we don't know.
We know we have to multiply 10 by a and then raise the result to the 5th power.
We don't know the value of a.
That means we just have to solve what we can.
10 x a = 10a
10a to the 5th power is 10a^5
Im so lost, please help me asap
Answer:
it's so simple ....
x + 141 = 135
x = 135 - 141
x = -6
it means ur answer is a
How are coefficient estimates from WLS (weighted least squares) interpreted?Select one:a. They should only be used for hypothesis testing. Coefficient estimates from the un-weighted, original model should be used for prediction.b. There is no difference in interpretation since each observation is scaled by the same divisor.c. Take the inverse of the natural logarithm of the coefficient to find marginal effects.d. They must be scaled up by the weight used in order to calculate marginal effects.
Coefficient estimates from WLS (weighted least squares) are interpreted in a similar manner to those from an un-weighted, original model. The main difference is the weights used to scale the observations.
Therefore, correct answer will be:- Coefficient estimates from the un-weighted, original model should be used for prediction
This can cause estimates to differ depending on the weight chosen. When interpreting the coefficient estimates, it is important to consider the weights used when calculating the model. This is because they can affect the magnitude of the coefficient estimates.
Additionally, the weights should be taken into account when calculating the marginal effects of the coefficients. This can be done by scaling up the coefficients by the weight used. Ultimately, the interpretation of coefficient estimates from WLS should be done in the same manner as those from an un-weighted model, but the weights should be taken into account when considering their magnitude and when calculating marginal effects.
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Lines x and y are parallel lines cut by a transversal. If m 24 = 82°, which of the
following is true?
+
21 22
24 / 23
X
Y
25 26
28/ 27
A) m_8 = 82
B) m 25 = 82°
2. The participation rate of students in intramural athletics at
State College was 44% in 2000 and 55% in 2010. Based on this
information, which of the following statements is correct?
(A) About 11% more students participated in intramural
athletics in 2010 than in 2000.
(B) The participation rate was 11% greater in 2010 than in 2000.
(C) There was a 20% increase in the participation rate from
2000 to 2010.
(D) The 2010 participation rate was 1.11 times the 2000 par-
ticipation rate.
(E) The number of students attending State College did not
change from 2000 to 2010.
B) The participation rate was 11% greater in 2010 than in 2000.
This statement is correct because the participation rate increased from 44% to 55%, which is an increase of 11 percentage points. To express this as a percentage increase, we can use the formula:
Percentage increase = (new value - old value) / old value x 100%
Using this formula, we get:
Percentage increase = (55 - 44) / 44 x 100%
= 0.25 x 100%
= 11%
Therefore, the participation rate was 11% greater in 2010 than in 2000. Option B correctly expresses this result.
since u = 4 − 4x, then converting back to an expression in x we get the following. (remember to use absolute values where appropriate.) − 1/4 ln(|u|)+ c =
The value of expression of the equation in terms of u is x = (4 - u)/4.
the given expression is u = 4 - 4x
u +4x = 4
4x = 4 - u
x = (4 - u)/4
The value of expression of the equation in terms of u= (4 - u)/4.
given equation is converted in terms of u .
Equation
Equation in mathematics is an expression or a statement that comprises two algebraic expressions with the same value and are separated by an equal symbol in between them. It is a mathematically quantified form of a statement written otherwise.
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the complete question is ,
value of u convert the equation in terms of u.
u= 4 - 4x
Which choice provides the best evidence for the
answer to the previous question?
A) Lines 5-9 ("In . . . automobile")
B) Lines 20-24 ("And . . . car")
C) Lines 24-26 ("In . . . experience")
D) Lines 32-34 ("Hopping . . . quickly")
Correct option is D. Lines 32-34 ("Hopping . . . quickly")
The previous question is -"Which choice does the author explicitly cite as an advantage of automobile travel in North America?"
Below is the passage mentioned in the question which is from Taras Grescoe, Straphanger: Saving Our Cities and Ourselves from the Automobile by Taras Grescoe -"Though there are 600 million cars on the planet,and counting,
there are also seven billion people,
which means that for the vast majority of us
gettingaround involves taking buses, ferryboats,
commutertrains, streetcars, and subways.
In other words,traveling to work,
school, or the market means
beinga straphanger: somebody who,
by choice or necessity,relies on public transport,
rather than a privatelyowned automobile.
Half the population of New York, Toronto,
andLondon do not own cars.
Public transport is howmost of the people of Asia and Africa,
the world’smost populous continents, travel.
Every day, subwaysystems carry 155 million passengers,
thirty-fourtimes the number carried by all the world’s airplanes,
.........................................
Hopping in a car almost always gets you to your destination more
quickly.
..................................
commanding enormous price premiums oversuburban homes.
The experience of European and
Asian cities shows that if you make buses, subways,and trains convenient, comfortable, fast, and safe,
asurprisingly large percentage of citizens will opt toride rather than drive."
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(-1)2009 + (-1)2000 integers .solve this
Answer: -4009
Step-by-step explanation: hope this helps!
Answer:
-4009
- I'm not 100% sure but if you want to double check you can use a website like M4thw4y (the 4's stand for a's) for help. Hope this helps.
A choir has 3 spots open for altos, and 8 altos are interested in them. in how many ways can the open spots be filled? 24 56 112 336
Answer:
56
Step-by-step explanation:
combinations
C(8,3)
Hello! It would be wonderful if someone could help me with these 3 questions! Instead giving you 10 points, i'll bump it up to 20 points if someone could help me with these 3 questions <3
Answer:
Ration is the root word
They all have been described as a rational number because they all have a ratio.
I am so sorry I do not know the last one
Step-by-step explanation:
I hope this helps
9(a^2+1)^2- 4(b^2-1)^2
\(9( {a}^{2} + 1) {}^{2} - 4( {b}^{2} - 1) {}^{2} \)
\( = 9( {a}^{4} + 1) - 4( {b}^{4} + 1)\)
\( = {9a}^{4} + 9 - {4b}^{4} - 4\)
\( = {9a}^{4} - {4b}^{4} + (9 - 4)\)
\( = {9a}^{4} - {4b}^{4} + 5\)
Can someone help solve the problems 2-4
Answer:
1234567891011121314151617181920
Step-by-step explanation:
you just count
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
The optimal measure of variability is the IQR, which equals 4. The proper measure of variability for the data is C.
How is IQR the best measure of variability?The difference among the third and the first quartile is defined by the interquartile range. The entire series is divided into four equally sized pieces by the partitioned values referred to as quartiles. Three quartiles are present.
The spread of the middle 50% of the data, which is less susceptible to outliers than the range, is measured by the interquartile range (IQR), which is the best measure of variability for these data.
The IQR is calculated by deducting the third quartile (\(Q_3\)) from the first quartile (\(Q_1\)). We can see from the box plot that \(Q_1\) is roughly
17 and \(Q_3\) is roughly 21.
Therefore,
\(IQR=Q_3-Q_1\\\\IQR=21-17\\\\IQR=4\)
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30=-5(6n+6) what is it :(
Answer:
the correct answer is -2=n
Answer:
0
Step-by-step explanation:
30= -5(6n+6)
**distribute the -5**
30=-30n-30
**add 30 from both sides**
60= -30n
**divide**
n=-2