Answer:
n = 6
Step-by-step explanation:
9n - 24 = 4n + 6 {Subtract 4n from both sides }
9n - 24 -4n = 6
5n - 24 = 6 {Add 24 to both sides}
5n = 6 + 24
5n = 30
n = 30/5
n = 6
Answer:
n=6
Step-by-step explanation:
Simplifying
9n + -24 = 4n + 6
Reorder the terms:
-24 + 9n = 4n + 6
Reorder the terms:
-24 + 9n = 6 + 4n
Solving
-24 + 9n = 6 + 4n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-4n' to each side of the equation.
-24 + 9n + -4n = 6 + 4n + -4n
Combine like terms: 9n + -4n = 5n
-24 + 5n = 6 + 4n + -4n
Combine like terms: 4n + -4n = 0
-24 + 5n = 6 + 0
-24 + 5n = 6
Add '24' to each side of the equation.
-24 + 24 + 5n = 6 + 24
Combine like terms: -24 + 24 = 0
0 + 5n = 6 + 24
5n = 6 + 24
Combine like terms: 6 + 24 = 30
5n = 30
Divide each side by '5'.
n = 6
Simplifying
n = 6
PLZ HELP !! PICK ABC OR D
Answer:
C
Step-by-step explanation:
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
In a scatterplot what does the term outlier mean?
Answer:
An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).
An outlier for a scatter plot is the point or points that are farthest from the regression line. ... If a number of points are the same farthest distance from the regression line, then all these points are outliers. If all points of the scatter plot are the same distance from the regression line, then there is no outlier.
Step-by-step explanation:
Answer:
An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).
Step-by-step explanation:
Just copy the first part of the person above me or this one its the same but I put the first graph on and go it right. ;)
find the exact value of the expression: 4 cos 2 ( 60 ) 24 csc 2 ( 45 ) 4cos2(60) 24csc2(45).
The exact value of the expression 4cos²(60)24csc²(45) is 12.
To find the exact value of the expression 4cos²(60)24csc²(45), we need to evaluate each trigonometric function separately and then substitute the values into the expression.
Let's start with cos²(60). The cosine of 60 degrees is equal to 1/2, so we have:
cos²(60) = (1/2)² = 1/4
Next, let's consider csc²(45). The cosecant of 45 degrees is equal to the square root of 2 divided by 2, so we have:
csc²(45) = (√2/2)² = 2/4 = 1/2
Now, we can substitute these values into the original expression:
4cos²(60)24csc²(45) = 4(1/4)24(1/2) = 1(24)(1/2) = 12
Therefore, the exact value of the expression 4cos²(60)24csc²(45) is 12.
It's important to note that we used the specific values of the trigonometric functions at the given angles (60 degrees and 45 degrees) to evaluate the expression. The final result is a numerical value without any variables.
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A $15,000 face value strip bond has 12 years remaining until maturity. If the market rate of return is 4.00% compounded semiannually, what is the fair market value of the bond?
The fair market value of the $15,000 face value strip bond with 12 years remaining until maturity, given a market rate of return of 4.00% compounded semiannually, is approximately $11,987.
To determine the fair market value of the bond, we need to calculate the present value of the bond's future cash flows. Since it is a strip bond, it does not pay any coupons or interest during its term, but only a single payment of the face value at maturity.
To calculate the present value, we can use the formula for the present value of a single future payment, which is given by:
PV = FV / (1 + r)^n
Where PV is the present value, FV is the future value (face value), r is the interest rate per period, and n is the number of periods.
In this case, the face value (FV) is $15,000, the interest rate (r) is 4.00% compounded semiannually (or 2% per period), and the number of periods (n) is 12 years multiplied by 2 (since interest is compounded semiannually).
Plugging in the values, we have:
PV = $15,000 / (1 + 0.02)^(12*2)
= $15,000 / (1.02)^24
≈ $11,987
Therefore, the fair market value of the bond is approximately $11,987.
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If I flip a coin 100 times, and then multiply the number of heads by the number of tails, what is the expected value of that number
Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés
Answer:
the rate of interest is 11.7453%
Step-by-step explanation:
Given that
The present value is € 45,000
The Future value is €52,500
Time period 1 year, 4 months and 20 days i.e. 1.38809 years
We need to find out the interest rate
Here we apply the RATE formula in the spreadsheet
The formula is
= RATE(NPER;PMT;-PV;FV;TYPE)
The PMT would be zero
After applying the above formula, the rate of interest is 11.7453%
Can I have help on this? I will award brainliest to whoever gives me the correct answer.
I think it is the last one
The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
What is Greatest common factors?The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The expressions are,
⇒ 48ab²
⇒ 32a²b
Now,
GCD of 32, 48 = 16
And, GCD of (ab²) and (a²b) = ab
Thus, The greatest common factors of the expressions 48ab² and 32a²b are,
⇒ 16 ab
⇒ 2⁴ ab
Hence, The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
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Pls help with this question
Answer:
3
Step-by-step explanation:
\(4x^6 y^3 - 3x^6 y^3 + 2x^2 y^2 - x^6 y^3 - x^2 y^2 +y \\ \\ =x^2 y^2+y \\ \\ =(-2)^2 (-1)^2 -1 \\ \\ =4-1 \\ \\ =3\)
Which points would you find on the graph for |x| +1 < 3?
-1
-3
0
1
The points would you find on the graph for |x| +1 < 3 are -1, 0 and 1
How to determine the points?The inequality is given as:
|x| + 1 < 3
Subtract 1 from both sides
|x| < 2
This means that the absolute value of x is less than 2
From the list of options, the true values are -1, 0 and 1.
Because their absolute values are less than 2
Hence, the points would you find on the graph for |x| +1 < 3 are -1, 0 and 1
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The diagnols of sqaure LMNP intersect at K. Given that LK= 1, find MP.
if LK = 1, then MP =1, since the diagonals of a square are equal and intersect at the center of the square
This follows that KN = 1 and KP = 1
Therefore, MP = MK + KP = 1 + 1 = 2
What is the range of this function?
-3 -5
0 -2
4 3
7 8
A(-5,-3,-2,0,3,4,7,8)
B (-5,-2,3,8)
C (-3,3)
D(-3,0,4,7)
Answer:
B (-5, -2, 3, 8)
Step-by-step explanation:
Remember this because you'll probably need it
The range consists of all the y-values that make up a function. Since all of the y-values are [-5, -2, 3, 8], the answer is B
if you take 3 apples from 10 apples how many do you have
Answer:
7
Step-by-step explanation:
Answer:
You will have exact seven.
Circle the number that is out of order. Then rewrite the number where it belongs. -2,8,-9,-13,-18,-20
Answer:
Step-by-step explanation:
The list of numbers seems to be decreasing, from biggest to smallest.
But... The 8 isn't less than 2, it should be more!
So 8 should be the circled number.
The 8 should be put before the -2, because 8 > 2
Write (3 + 4i) + (8 + 2i) as a complex number in standard form.
А.11 - 6i
В.5 + 12i
C.7 + 10i
D. 11 + 61
Answer:
D. 11+6i
Step-by-step explanation:
3+8+4i+2i
11+6i
8100x3^-4 write in steps
Answer:
100
Step-by-step explanation:
Give me Brainllest
Which equation models a line that is perpendicular to y = x - 1 and goes through the point (5,4)
Answer:
y = - x + 9
Step-by-step explanation:
Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.
So the equation that is perpendicular will look like this so far:
y = -x + b (b represents our y-intercept that we have not found yet)
Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.
So, 4 = -(5) +b or 4 = -5 + b
Add 5 to both sides to isolate b on the right side. b = 9
Therefore, the y-intercept is 9.
Now we have found everything we need for the equation, which is
y = - x + 9
The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1 An unnumbered number line labeled numbers of dinners out. Create a dot plot to represent the data. What can you conclude about the dot plot of the data set? Select the three best answers. The range of the number line should be 0 to 7 to represent the frequency. Four families said they ate out twice the previous week. One family said they ate out 5 times the previous week. The data set is symmetrical. The median best represents the data set.
Dot plots are used to represent data using dots
The true statements about the dataset are:
The range of the number line should be 0 to 7 to represent the frequency. Four families said they ate out twice the previous week. One family said they ate out 5 times the previous weekThe dataset is given as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
Rearrange in ascending order
0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6
Represent as a frequency table
Data Frequency
0 2
1 2
2 4
3 0
4 2
5 1
6 1
See attachment for the dot plot
From the attachment, we can see that:
4 has a frequency of 25 has a frequency of 1Also, the range on the dot plot can be 0 to 7, because it covers the given dataset
Hence, the true statements are: (a), (b) and (c)
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Answer:
B, C, and E
Step-by-step explanation:
What number is 90% of
140?
Answer:
126
Step-by-step explanation:
Polly has $10 in an account that earns 5% interest compounded annually.
To the nearest cent, how much will she have in 2 years?
Answer:
Answer:
Total Interest = $3.08
Step-by-step explanation:
A = P (1 + r/n)^(nt)
A = 30(1+.05/1)^(1*2)
A = 33.08
We want to find interest only so subtract principal amount from total value
33.08-30 = 3.08
Total Interest = $3.08Total Value = $33.08Mark brainliest please!
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to 2 square root of 25y^8 x 4 square root of 6y^3 if y > 0?
Will give brainliest
Answer: 40y\({5} \sqrt{6y}\)
Step-by-step explanation:
10) Calculate angle u, v and w
A
Y
с
88
68
Answer:
u = 24, v = 92, and w = 184
Step-by-step explanation:
According to circle theorem, we have;
∠ACD = ∠ABD = 88° by angle inscribed in a circle and also subtending the same chord
∠DOA = 2 × ∠ABD by angle subtended at the center = 2 × Angle subtended at the circumference
∴ ∠DOA = 2 × ∠ABD = 2 × 88° = 176°
w° + ∠DOA = 360 by the sum of angles at a point
∴ w° = 360° - ∠DOA = 360° - 176° = 184°
w° = 184°
w° = 2 × v° by angle subtended at the center = 2 × Angle subtended at the circumference
∴ v° = w°/2 = 184°/2 = 92°
v° = 92°
In triangle ΔCDY and ΔABY, we have;
∠ABD = ∠ABY by reflexive property
∠ACD = ∠ACY by reflexive property
∠ACD = ∠ABD = 88°
∴ ∠ABY = 88°
∠CYD = ∠AYB by vertically opposite angles are equal
∴ ∠CYD = 68° = ∠AYB
u° + ∠ABY + ∠AYB = 180° by angle sum property
∴ u° = 180° - (∠ABY + ∠AYB)
u° = 180° - (88° + 68°) = 24°
u° = 24°.
Is absolute value always positive on a graph?
On a graph, the absolute value of a number is always non-negative.
The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.
This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.
It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.
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please solve for me. please be right
Answer:
4
Step-by-step explanation:
5+3÷5-3=8÷2=4
Answer:
4
Step-by-step explanation:
a=5
b=3
a+b = 5+3 = 8
a-b = 5-3 = 2
8/2 = 4
The Garcia’s bought a washing machine for $435 and a clothes dryer for $395 bath prices include tax to deliver these items the store charges $10 plus $2 per mile if the Garcia’s live 15 miles from th store what is their total bill?
Answer:
870
Step-by-step explanation:
$435 + $395 = $830
$830 + $10 = $840
$2 x 15 = $30
$840 + $30 = $870
Is (4, 5) a solution to this system of inequalities?
y < 10x + 7
y x+1
yes
no
Answer:
Yes
Step-by-step explanation:
For which of the following is x = -5 a solution? Select all that apply.
Answer:
Options 2, 3, 4, 5 are the solutions.
Step-by-step explanation:
Option 1).
x + 10 = -5
x = -10 - 5
x = -15
Therefore, x = -5 is not the solution.
Option 2).
-x² + 50 = 25
-x² = 25 - 50
-x² = -25
x² = 25
x = ±5
Therefore, x = -5 is a solution
Option (3)
|2x| = 10
2x = ± 10
x = ± 5
Therefore, x = -5 is a solution.
Option (4)
x < 0
Since, -5 < 0
Therefore, x = -5 is a solution.
Option (5)
2x < 10
x < 5
Since, -5 < 5
Therefore, x = -5 is a solution.
Options 2, 3, 4, 5 are the solutions.
What is the value of A for an equal tangent vertical curve has an initial grade of 2.0% and a final grade of -1.0%
An equal tangent vertical curve with an initial grade of 2.0% and a final grade of -1.0% has the value of A as 333.33 ft (130 words).An equal tangent vertical curve refers to a vertical curve consisting of two straight grades, with equal tangents at the vertex of the curve. The value of A is the length of the curve.
The formula for finding the length of an equal tangent vertical curve is given as follows:
\($$L=\frac {100A}{R} $$\)
Where, L is the length of the curve in feet,R is the radius of the curve in feetA is the algebraic difference in grades multiplied by 100Hence, the value of A for an equal tangent vertical curve that has an initial grade of 2.0% and a final grade of -1.0% can be calculated as follows:
\($$A= \frac {Final grade - Initial grade}{2}= \frac {-1-2}{2} = -\frac {3}{2} $$\)
Therefore, the length of the curve can be found as follows:
\($$L= \frac {100(-3/2)}{R}$$$$L= -50\frac {ft}{R} $$\)
The radius of the curve will be infinite if both grades are equal.
Therefore, the formula for an infinite radius is used to find A as follows:
\($$A= 2\Bigl(\frac {L}{3}\Bigr)$$\)
Substituting the value of L, we get:
\($$A= 2\Bigl(\frac {-50}{3}\Bigr)$$\)
\($$A= -\frac {100}{3} ft$$\)
However, since A is a length, it cannot be negative.
Therefore, taking the absolute value of A gives us the length of the equal tangent vertical curve, which is:
\($$A= \frac {100}{3} = 33\frac {1}{3} ft $$\)
Rounding up to the nearest whole number, the value of A is approximately 333.33 ft.
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I choose $9000 but I'm not sure and I just wanted to verify or an explanation to see if I'm right?
Answer:
Yea it's 9000
Step-by-step explanation:
6,000 is way too low, and 15,000 and 18,000 are way too high
Calculate $900 $2100 invested in share wit portfolio beta: in vested in share with of beta 1.4 beta
The portfolio beta of the share in which $900 is invested is 1.4
Given: Amount invested in share with a portfolio beta of 1.4 = $900.
Amount invested in share with a portfolio beta of 1.4 = $2100Total amount invested = $900 + $2100 = $3000We know that,Weighted average of portfolio beta = ∑wᵢβᵢ / ∑wᵢwhere, w = weight or amount invested and β = portfolio beta.,
Putting the values, we get,1.4 = 900/3000 * x + 2100/3000 * 1.4where x is the portfolio beta of the $900 invested share.Simplifying the equation, we get,1.4 = 0.3x + 0.98.
Multiplying by 10 on both sides, we get,14 = 3x + 9.8Solving for x, we get,x = (14 - 9.8)/3= 1.4.
Therefore, the portfolio beta of the share in which $900 is invested is 1.4. To get this result, we have calculated the weighted average of the portfolio beta using the formula:
Weighted average of portfolio beta = ∑wᵢβᵢ / ∑wᵢwhere, w = weight or amount invested and β = portfolio beta. We have also shown the steps of simplifying the equation and solving for x.
Thus, the portfolio beta of the share in which $900 is invested is 1.4.
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Select the number of the punctuation error.on february 23,1992___1. the committee presented its agenda;2. call the meeting to order, approve minutes of the bylaws change,3. hold discussion,4. vote on the bylaws change, and adjourn.
There is a punctuation error in the sentence "call the meeting to order, approve minutes of the bylaws change,3. hold discussion,4. vote on the bylaws change, and adjourn." The correct answer is sentence 2.
The error is the missing punctuation after "bylaws change." To correct this, you should insert a comma after "bylaws change," like this: "call the meeting to order, approve minutes of the bylaws change, hold discussion, vote on the bylaws change, and adjourn."
Here's a breakdown of the corrected sentence:
1. "call the meeting to order": This is the first action to be taken.
2. "approve minutes of the bylaws change": This means that the committee will review and agree upon the minutes related to the bylaws change.
3. "hold discussion": This refers to engaging in a conversation or debate.
4. "vote on the bylaws change": This means that the committee will cast votes regarding the proposed bylaws change.
5. "adjourn": This indicates the end of the meeting.
By including the missing comma, the sentence becomes grammatically correct and clearer to understand. Thus, the correct option is (2), call the meeting to order, approve minutes of the bylaws change,
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