Answer:
B. Evaluate the expression for 1 to 6 months of membership
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What is the equation of the line that passes through the point (4, 6) and has a slope
of 0?
Answer:
y=6
Step-by-step explanation:
Evaluate the following expression. 4x2+6
hurrrrrryyyy aaahhhh
Could someone help me out please and thank u so much
(A) Given the points (5, -2) and (5, 6);
The slope m, of a line passing through two points is given as;
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where m=slope} \\ x_1=5 \\ x_2=5 \\ y_1=-2 \\ y_2=6 \end{gathered}\)\(\begin{gathered} m=\frac{6-(-2)}{5-5} \\ m=\frac{8}{0} \\ m=\infty\text{ (undefined)} \end{gathered}\)The slope of the line passing through the points (5, -2) and (5, 6) is undefined
(B) Given the points (-7, 3) and (-7, -3)
Similarly, the slope is given as;
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Where m= slope} \\ x_1=-7 \\ x_2=-7 \\ y_1=3 \\ y_2=-3 \end{gathered}\)\(\begin{gathered} m=\frac{-3-3}{-7-(-7)} \\ m=-\frac{6}{0} \\ m=\infty\text{ (undefined)} \end{gathered}\)The slope of the line passing through the points (-7, 3) and (-7, -3) is undefined.
what is 3 1/2x - 5 1/2x,x=2/5
Answer:
\(-\dfrac{4}{5}\)
Step-by-step explanation:
We have the following expression
\(3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x\)
and asked to evaluate this expression at \(\[x = {2\over\displaystyle 5\]\)
First convert \(3 \; \dfrac{1}{2}\) and \(5 \; \dfrac{1}{2}\) to mixed fractions
\(3 \; \dfrac{1}{2} = \dfrac{3 \times 2 + 1}{2} = \dfrac{7}{2}\\\)
\(5 \; \dfrac{1}{2} = \dfrac{5 \times 2 + 1}{2} = \dfrac{11}{2}\)
Therefore
\(3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x\\\\= \dfrac{7}{2}x - \dfrac{11}{2}x\\\\= \dfrac{7 - 11}{2} x\\\\= -\dfrac{4}{2}x \\\\= -2x\\\\\)
\(\mathrm{For \;x =\dfrac{2}{5}},\\\\= -2x \\= - 2 \times \dfrac{2}{5}\\\\= -\dfrac{4}{5}\)
Peter had 14 marbles and lost y of them. John started with 8 marbles and gained y.
Answer:
Step-by-step explanation:
There is no specific question here, but perhaps it is solve for Y? is there any more information?
P= 14 - Y
J= 8 +Y
Annabeth is a salaried employee who earns additional compensation for all hours over
40 worked in one week. Her bi-weekly gross earnings are $913.45. If she is paid time-
and-a-half for her overtime hours, what are her bi-weekly gross earnings if she works
47 hours during a week of her pay period? (6 points)
Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.
What is amount?Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.
This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.
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What is one of the solutions to the system of equations graphed here?
(-2, 4)
(0, 4)
(-4, 0)
(-5, -4)
Suppose a three dimensional container has a volume of 19845 cubic inches. Calculate the volume of the container in cubic yards and round your answer to two decimal places.
Answer:
0.43 cubic yards
Explanation:
We know that 1 cubic yard is equivalent to 46656 cubic inches. So, we can convert 19845 cubic inches into cubic yards as:
\(19845\text{ cubic inches }\times\frac{1\text{ cubic yard}}{46656\text{ cubic inches}}=0.43\text{ cubic yards}\)Therefore, the answer is 0.43 cubic yards
Help pls it’s urgent guys pls and THANK YOU!!!!!!!!!
Answer:
It should be 235.5
Step-by-step explanation:
If you know what grade you got on each assignment, how do you calculate your overall grade?
Find the score that you got most often.
Line up all the scores in order and cross out numbers until you get to the middle number.
Add up all the scores and divide by the number of assignments.
Add up all the scores and divide by 100.
Answer:
Add up all the scores and divide by the number of assignments.
Step-by-step explanation:
That would be the "Mean" or the average score
a lcd tv operates at 120 volts at 0.96 amps. the electric company charges you 11.6 cents per kilowatt hour. you forget to turn the tv off while you are on vacation for two weeks. how much does this cost you in dollars?
Leaving the TV on for two weeks while on vacation would cost you approximately $4.46.
To calculate the cost, we need to determine the total energy consumed by the TV while you were on vacation and then convert it to dollars.
First, let's calculate the energy consumption in kilowatt-hours (kWh):
Power (in kilowatts) = Voltage (in volts) * Current (in amps) / 1000
Power = 120 V * 0.96 A / 1000 = 0.1152 kW
Now, we need to find the total energy consumed in kilowatt-hours (kWh) over the two-week period:
Energy (in kilowatt-hours) = Power (in kilowatts) * Time (in hours)
Energy = 0.1152 kW * 24 hours/day * 14 days = 38.4512 kWh
Next, let's calculate the cost of this energy consumption:
Cost = Energy (in kilowatt-hours) * Cost per kilowatt-hour
Cost = 38.4512 kWh * $0.116/kWh = $4.46 (rounded to two decimal places)
Therefore, leaving the TV on for two weeks while on vacation would cost you approximately $4.46.
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Moving to another question will save this response. Assume the following information about the company C: The pre-tax cost of debt 2% The tax rate 24%. The debt represents 10% of total capital and The cost of equity re-6%, The cost of capital WACC is equal to: 13,46% 6,12% 5,55% 6,63%
The weighted average cost of capital (WACC) for company C is 6.63%.
What is the weighted average cost of capital (WACC) for company C?The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.
To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.
The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.
The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.
WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)
In this case, the calculation is as follows:
WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%
Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.
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Find the surface area of a square pyramid with side length 3 m and slant height 5 m.
Information provided with us:
Side length ( a ) = 3mSlant height ( l ) = 5mⳘ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ :
Surface area of square pyramid is given by the sum of areas of all its 4 triangular sides and the square base area. If a is the base side length and l is the slant height , then the surface area of square pyramid is:
ㅤㅤㅤㅤㅤ➙ a² + 2al
Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:
ㅤㅤㅤ➙ A = a² + 2al
ㅤㅤㅤ➙ A = ( 3 ) ² + 2 × 3 × 5
ㅤㅤㅤ➙ A = 9 + 30
ㅤㅤㅤ➙ A = 39m²
~Hence, the surface area of given square pyramid is 39 m².
Answer:
39 m²
Step-by-step explanation:
surface area of square based pyramid = \(a^2+2al\)
(where \(a\) is the side length of the base and \(l\) is the slant height)
Given:
\(a=3\)\(l=5\)⇒ SA = 3² + (2 x 3 x 5) = 39 m²
what is the missing term in 1,2,5,10, __,26,37
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
plssssssssssss help!
Answer: D
Explaination: Because they are equal but different at the same time
What is the central of the circle?.
The central angle is the ratio of arc length and radius.
What is a Central Angle?
The central angle is the angle that a circle's arc occupies in its centre. The arms of the central angle are formed by the radius vectors. In other words, it's an angle whose vertex is the centre of a circle and whose arms, which have the circle's two radii as their arms, cross at two separate positions. These two points make an arc when they are combined. The angle that this arc at the circle's centre subtends is known as the central angle.
According to the central angle, we state that:
An arc's angle at the circle's centre is twice as large as its angle at any other point along the circle's circumference.
OR
The angle subtended by the arc in the opposite segment of the circle is twice as large as the angle at the centre of the circle.
Hence,
The central angle is the ratio of arc length and radius.
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Camron can run 2/3 of a mile in 1/10 of an hour. How far can he run in 1 hour?
Answer:
20/3 or 6 2/3 miles.
Step-by-step explanation:
2/3 times 10
A. artists
B. brushes
C. paintings
D. hours
Answer:hours
Step-by-step explanation:
In a sample of 300 skittles taken from this 54 oz bag, 72 of the skittles were observed to be purple. What is the value of p-hat (the sample proportion)?.
The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.
The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample
p-hat = number of purple skittles / total number of skittles in sample
In this case, we have
Number of purple skittles = 72
Total number of skittles in sample = 300
Therefore,
p-hat = 72/300 = 0.24
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Can someone help me with this pleaseee…….
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
We have,
To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:
Distance Formula:
If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:
AB = √((4 - (-5))² + (5 - 5)²) = 9
BC = √((2 - 4)² + (0 - 5)²) = √(29)
CD = √((-5 - 2)² + (-2 - 0)²) = √(74)
DA = √((-5 - (-5))² + (5 - (-2))²) = 7
Therefore,
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
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Increase £490 by 11% give your answer rounded to 2 DP
Step-by-step explanation:
Given \:number (m) = £ 490Givennumber(m)=£490
Increase (g) = 11\%Increase(g)=11%
\begin{gathered} \red{ Required \:number } \\= m\Big( \frac{(100+g)}{100} \Big)\\= 490\Big(\frac{100+11}{100}\Big)\\= 490 \times \frac{111}{100} \\= 490 \times 1.11 \\= £ 543.9 \end{gathered}
Requirednumber
=m(
100
(100+g)
)
=490(
100
100+11
)
=490×
100
111
=490×1.11
=£543.9
Therefore.,
\red{ Required \:number }\green { = £ 543.9}Requirednumber=£543.9
•••♪
Answer:
£543.90
Step-by-step explanation:
You have to add 2 and nothing
In a certain chemical, the ratio of zinc to copper is 3 to 13. A jar of the chemical contains
650 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc.
Answer: 150 grams of zinc
Work Shown:
zinc/copper = 3/13
z/650 = 3/13
13z = 650*3
13z = 1950
z = 1950/13
z = 150
tan theta is equal to 2- cos theta find the value of sin theta
Answer:
sqrt(2)/2
Step-by-step explanation:
Given tan(x)=2-cot(x), find sin(x).
Rewrite in terms of sine and cosine:
sin(x)/cos(x)=2-cos(x)/sin(x)
Multiply both sides by cos(x)sin(x):
sin^2(x)=2sin(x)cos(x)-cos^2(x)
Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:
sin^2(x)=2sin(x)cos(x)-(1-sin^2(x))
Distribute:
sin^2(x)=2sin(x)cos(x)-1+sin^2(x)
Subtracting sin^2(x) on both sides:
0=2sin(x)cos(x)-1
Add 1 on both sides:
1=2sin(x)cos(x)
Use identity sin(2x)=2sin(x)cos(x) to rewrite right:
1=sin(2x)
Since sin(pi/2)=1, then 2x=pi/2.
Dividing both sides by 2 gives x=pi/4.
So sin(pi/4)=sqrt(2)/2
find the median for 3 of these questions
maths question
Answer:
x = 12.5 metresx = 20 metresWeight = 67.8 kgStep-by-step explanation:
You want the median for each of the histograms shown.
MedianThe median value is the value of the independent variable that divides the area of the histogram into two equal parts. It can be found as the variable value corresponding to half of the cumulative sum of areas.
To find it, we can find half of the total of the area of the histogram. This locates the bar containing the dividing line. Then we find the median as the variable value interpolated between the area before the bar and the area including the bar.
1.This histogram is completely symmetrical, so the median is the value of x halfway between the limits of the middle bar:
(10 +15)/2 = 12.5
The median is x = 12.5.
2.If we consider an interval of width 5 to be "1 unit", multiplying the width by the heights of the bars gives the series of areas ...
(0.2, 0, 0.9, 0.9, 0.5, 0.5, 0.8, 0.2}
The total is 4, so half that is 2. The calculator tells us the cumulative total area (working from the left) is 2 at x = 20.
The median is x = 20.
3.Again, we choose "1 unit" horizontally to be 5 kg. Then the bar heights are the areas of the bars. The cumulative area is 20, so half the area is 10.
The highest bar, between 65 and 70, has a cumulative area of 6.8 at its left side and 12.6 at its right side. Then the cumulative area will be 10 at the point that is (10 -6.8)/(12.6 -6.8) = 3.2/5.8 = 16/29 of the distance between 65 and 70. The value of weight (kg) there is ...
(16/29)(70 -65) +65 ≈ 67.759 . . . . kg
The median weight is about 67.8 kg.
__
Additional comment
The calculator image shows a calculation of median weight that is essentially the same, but executed differently.
If a1 and a2 are the cumulative areas on either side of the bar containing the median, and x1 and x2 are the x-values on either side of that same bar, then the median x is calculated from the median area m as ...
x = ((a2 -m)x1 +(m -a1)x2)/(a2 -a1)
We have chosen bars of equal width to form the cumulative sum of areas. That way, we only need to be concerned with the bar height in the interval. You could use actual area values, which requires you multiply height by width for each bar. The above formula still works for that case.
The quartile locations can be found in similar fashion. If you have very many of these to do, a spreadsheet or statistics application may be helpful.
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in exercises 79, 80, 81, 82, 83 and 84, determine the value(s) of such that the system of linear equations has the indicated number of solutions.
The required answers are:
Exercise 79: No solution for all values of "k".
Exercise 80: Exactly one solution for all values of "k".
Exercise 81: Infinitely many solutions for all values of "k".
Exercise 82: No solution for all values of "k".
Exercise 83: Infinitely many solutions for all values of "k".
Exercise 84: Infinitely many solutions for all values of "k".
Using the concept of the system of linear equations, we can determine the number of solutions for each exercise:
No solution:
Equations: x + ky = 2, kx + y = 4
For a unique solution, the slopes of the two lines formed by the equations should be different. In this case, the slopes are k and 1, respectively. Since a1/b1 = k/1 is not equal to a2/b2 = 1/k, there is no common slope. Therefore, for exercise 79, there is no solution for all values of "k".
Exactly one solution:
Equations: x + ky = 0, kx + y = 0
For exactly one solution, the slopes of the two lines formed by the equations should be different. In this case, the slopes are k and 1, respectively. Since a1/b1 = k/1 is not equal to a2/b2 = 1/k, the slopes are different. Therefore, for exercise 80, there is exactly one solution for all values of "k".
Infinitely many solutions:
Equations: kx + 2ky + 3kz = 4k, x + y + z = 0, 2x - y + z = 1
For infinitely many solutions, the slopes of the planes formed by the equations should be equal. In this case, a1/b1 = a2/b2 = 1/2 = c1/c2. Therefore, for exercise 81, there are infinitely many solutions for all values of "k".
No solution:
Equations: x + 2y + kz = 6, 3x + 6y + 8z = 4
For a unique solution, the slopes of the planes formed by the equations should be different. In this case, a1/b1 = 1/2 is not equal to a2/b2 = 3/6 = 1/2. Therefore, for exercise 82, there is no solution for all values of "k".
Infinitely many solutions:
Equations: 4x + ky = 6, kx + y = -3
For infinitely many solutions, the slopes of the lines formed by the equations should be equal. In this case, a1/b1 = 4/k is equal to a2/b2 = k/1. Therefore, for exercise 83, there are infinitely many solutions for all values of "k".
Infinitely many solutions:
Equations: kx + y = 16, 3x - 4y = -64
For infinitely many solutions, the slopes of the lines formed by the equations should be equal. In this case, a1/b1 = k/1 is equal to a2/b2 = 3/-4 = -3/4. Therefore, for exercise 84, there are infinitely many solutions for all values of "k".
Thus, the required answers are:
Exercise 79: No solution for all values of "k".
Exercise 80: Exactly one solution for all values of "k".
Exercise 81: Infinitely many solutions for all values of "k".
Exercise 82: No solution for all values of "k".
Exercise 83: Infinitely many solutions for all values of "k".
Exercise 84: Infinitely many solutions for all values of "k".
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the daily dinner bills in a local restaurant are normally distributed with a mean of $32.3 and a standard deviation of $7.6. what is the probability that a randomly selected bill will be for less than $28.65?
The probability that a randomly selected bill will be at least $39.10 is 0.03216 percent.
According to the question, given that
The average daily dinner tab at a nearby restaurant has a normal distribution with a standard deviation of $6 and a mean of $28.
Let X = daily dinner bills in a local restaurant
So, X ~ N(μ = 28, σ^2 = \(6^{2}\) )
The following equations give the normal distribution's z-score probability distribution:
Z = (X - μ) /σ ~ N(0,1)
where, μ = mean amount = $28
σ = standard deviation = $6
The Z-score calculates the deviation of the measure from the mean in standard deviations. We look at the z-score table after determining the Z-score to determine the p-value (area) connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.
As a result, = P(X $39.10) is the chance that a randomly chosen bill will be at least $39.10.
P(X ≥ $39.10) = P (X - μ) /σ ≥ \(\frac{39.10 - 28}{6}\)) = P(Z ≥ 1.85) = 1 - P(Z < 1.85)
= 1 - 0.96784 = 0.03216
Now, the P(Z x) or P(Z x) is presented in the z table. By examining the value of x = 1.85 in the z table, which has an area of 0.96784, the probability stated above is derived.
Therefore, there is a 0.03216 percent chance that a randomly chosen bill will be at least $39.10.
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How do you solve this?
Answer:
The answer is
\( {13}^{3} \)Step-by-step explanation:
\(( {13})^{2}( {13})^{ - 4} ( {13})^{5} \)To solve the expression , use the rules of indices
Since the bases are the same and are multiplying we add the exponents
That's
\( {a}^{x} \times {a}^{y} \times {a}^{z} = {a}^{x + y + z} \)So we have
\(( {13})^{2}( {13})^{ - 4} ( {13})^{5} = {13}^{2 - 4 + 5} \\ = {13}^{ - 2 + 5} \)We have the final answer as
\( {13}^{3} \)Hope this helps you
I need to know how to do this step by step. I'm having trouble with figuring out what comes first and What do I have to do next when solving the problem
The given inequality is
\(3y\leq2y+3\)First, we need to isolate y
To do that we want to move 2y from the right side to the left side, then
To do that subtract 2y from 3y and subtract 2y from (2y + 3)
\(3y-2y\leq2y-2y+3\)Since 3y - 2y = 1y
Since 2y - 2y = 0
\(\begin{gathered} 3y-2y\leq(2y-2y)+3 \\ 1y\leq0+3 \end{gathered}\)Since 0 + 3 = 3
Then the answer is
\(\begin{gathered} 1y\leq3 \\ y\leq3 \end{gathered}\)The answer is B
which two points have an undefined slope
Answer:
C
Step-by-step explanation:
The set of points with the same x has an undefined slope
Answer:
C. (-3, -3) and (-3, 3)
Step-by-step explanation:
(-1, 1) and (1, -1)
Slope = (-1-1) / (1 - (-1))
= -2 / 2 = -1.
(-1,2) and (2,2)
Slope = ( 2-2)/ ( 2 - -2)
= 0
(-3, -3) and (-3, 3)
Slope = (3 - -3) / (-3 - (-3)
= 6 / (-3+3)
= 6/0 - UNDEFINED.
The line joining these points is vertical.
What is the slope of the line that passes through the points (8, 8) and (20, - 2) ? Write your answer in simplest form.
Answer:
-5/6
Step-by-step explanation:
you can use the equation y2-y1/x2-x1 to find the slope of the line