Answer:
x=62
Step-by-step explanation:
The two angles shown are alternate interior angles, so they are equivalent.
You can set up an equation like so:
2x - 30 = 94
Then you can solve from here by:
Adding 30 to each side:
2x = 124
Dividing each side by 2:
x=62
62 is your answer
Hope this helps!
what happens when the king of beasts runs in front of a train?
Answer: He dies.
Step-by-step explanation: A train is extremely powerful. It would kill on impact most of the time.
A pitcher contains 4.5 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?
Solve for x. -x + 4 = 32 x = -28 x = 36 x = 28 x = -36
Answer:x=-28
Step-by-step explanation:
-x+4=32
Subtract 4 from each side
-x=28
Multiply each side by (-1)
x=-28
Answer: -28
Step-by-step explanation:
27. Albright Motors is expected to pay a year-end dividend of \( \$ 3 \) a share \( \left(D_{1}=\$ 3.00\right) \), then a divivend of \( \$ 5 \) in 2 years \( \left(\mathrm{D}_{2}=\$ 5.00\right) \), a
Albright Motors is expected to pay a year-end dividend of $3 per share \((\(D_1 = \$3.00\))\), followed by a dividend of $5 in 2 years \((\(D_2 = \$5.00\))\). To calculate the present value of these future dividends, we can use the concept of discounting to determine the current value of the expected dividends.
The present value of future dividends can be calculated using the formula:
Present Value = \(\(\frac{{D_1}}{{(1 + r)^1}} + \frac{{D_2}}{{(1 + r)^2}}\)\)
where \(\(D_1\) and \(D_2\)\) are the future dividends and \(\(r\)\) is the required rate of return or discount rate.
In this case, the dividend \(\(D_1\)\) is $3 and the dividend \(\(D_2\)\) is $5. To find the required rate of return \((\(r\))\), we need additional information such as the stock price or market value of Albright Motors' shares. Without that information, we cannot determine the exact value of the required rate of return or calculate the present value of the dividends.
Once the required rate of return is known, we can substitute the values into the formula to calculate the present value of the future dividends. The present value represents the current value of the expected dividends, taking into account the time value of money.
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Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
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Answer: b
Step-by-step explanation:
A simple random sample of 31 observations was taken from a large population that has a mean of 5.2 and a standard deviation of 1.1. From the sample, the average was calculated to be 5 and the standard deviation was computed as 0.92. The number 5.2 in this scenario is a
In the scenario described above, 5.2 is the population mean or parameter because it represents the mean of the entire population. The number 5.2 in this scenario is the population mean.A population refers to a complete group of objects, people, or other things that share common characteristics. Parameters are used to describe population attributes. The population mean (μ) is the average of all the values in a population.
A population mean may be determined using various statistical methods, including the simple random sampling technique.Simple random sampling is a probabilistic sampling method that ensures that each element in the population has an equal chance of being included in the sample. In other words, a simple random sample is one in which each member of the population has an equal chance of being chosen as part of the sample.
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In equation F=-kx, k is commonly called the
Answer:
k is usually called the spring constant
Step-by-step explanation:
sorry if its not right, that is just what i have learned.
have a good day !!!
Some please help, select all the intervals where g is increasing
Answer:
\(( - inf, - 3.5) \\ ( - 1, 2.5)\)
These are interval for increasing (doesnt include relative max-min)
Step-by-step explanation:
Increasing means when we input the value of x and we get the increase of y-value.
A bit hard to imagine? You can look at the graph instead. The name already says it all, Increasing Graph. The graph keeps rising and rising till the max and that is increasing.
The decreasing is when the graph decreases to minimum. The graph would face down for decreasing.
Since we only want the increasing. We look at the graph and tell which region does the graph face up and that is the increasing.
Answer:
=0
Step-by-step explanation:
solve this please and thank you
Which input value produces the same output value for the two functions on the graph?
Input value produces the same output value for the two functions on the graph is x = -2, So correct option is B.
What do you mean by Graph?A graph is a visual representation of data or a mathematical function. It typically consists of a set of points or plotted coordinates that are connected by lines or curves. The purpose of a graph is to display the relationship between two or more variables, making it easier to understand and interpret the data.
There are several types of graphs, such as:
Line graphs, which are used to track changes over a continuous interval or time period.
Bar graphs, which are used to compare different values or quantities.
Pie charts, which are used to show the proportion of different categories in a whole.
Scatter plots, which are used to show the relationship between two variables.
histograms, which are used to show the frequency distribution of a variable.
This is the point at which the two functions intersect, indicated by the coordinates (-2,1).
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What is the amount of error that you will accept in the upper tail of the confidence interval?.
The amount of error that you will accept in the upper tail of the confidence interval as follows
The amount of error that will accept in the upper tail is = 13.97
Amount of error = margin of error
Margin of error = \(Z\frac{\alpha }{2} \frac{s}{\sqrt{n} }\)
93% = confidence interval =1- \(\alpha\)
=1-.93
=0.07
Hence \(\frac{\alpha }{2}\) =0.035
\(Z\frac{\alpha }{2} or t\frac{\alpha }{2} = 1.81\)
This problem represents two tail test because a two-tailed test is a method in which the critical area of a distribution is two-sided and tests whether a sample is greater or less than a range of values.
And confidence interval are always two tailed.
So margin of error = \(1.81x\frac{1.99}{\sqrt{40} }\)
= 0.57
Upper tail C.I = x + margin of error
=13.4+0.57
=13.97
Lower tail C.I = x - margin of error
= 13.4 - 0.57
=12.83
Hence the answer is, the amount of error that will accept in the upper tail is = 13.97.
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(a)Find the greatest common factor (GCF) of 16 and 6.
(b)Use the GCF to factor 16 +6.
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
A 208−V three-phase power system is shown below. It consists of an ideal 208-V Y-connected threephase generator connected through a three-phase transmission line to a Δ-connected load. The transmission line has an impedance of 1+j2Ω per phase and the load has an impedance of 12+j9Ω per phase. For this simple power system Find: (Draw the power system before you solve the problem) a) The magnitude of the line current IL b) The magnitude of the load's line and phase voltages VLL and V⊙L c) The real, reactive, and the apparent powers consumed by the load d) The power factor of the load e) The real, reactive, and the apparent powers consumed by the transmission line f) The real, reactive, and the apparent powers consumed by the generator g) The generator's power factor
a) The magnitude of the line current IL is determined by IL = Vphase / Zline. b) The magnitude of the load's line and phase voltages VLL and V⊙L are both equal to VLL =\(\sqrt3\)* Vphase. c) The real power consumed by the load is \(P = 3 * |IL|^2 *\) Re(Zload), the reactive power is \(Q = 3 * |IL|^2\)* Im(Zload), and the apparent power is \(S = \sqrt{(P^2 + Q^2)}\). d) The power factor of the load is PF = P / S. e) The real power consumed by the transmission line is Pline = \(3 * |IL|^2 *\) Re(Zline), the reactive power is Qline =\(3 * |IL|^2 *\) Im(Zline), and the apparent power is Sline \(= \sqrt{(Pline^2 + Qline^2)}\). f) The real power consumed by the generator is zero, the reactive power is zero, and the apparent power is Sgen = \(3 * |IL|^2 *\) * |Vphase|. g) The generator's power factor is zero.
To solve the problem, substitute the given values into the equations and perform the necessary calculations. Drawing the power system diagram will help visualize the connections and values of the generator, transmission line, and load.
a) The magnitude of the line current IL can be calculated using Ohm's Law. Since the generator is Y-connected, the line current is equal to the phase current, which is given by IL = Vphase / Zline, where Vphase is the phase voltage of the generator and Zline is the impedance of the transmission line per phase.
b) The magnitude of the load's line voltage VLL can be calculated as VLL = \(\sqrt3\) * Vphase, where Vphase is the phase voltage of the generator.
Since the load is Δ-connected, the magnitude of the load's phase voltage V⊙L is the same as the line voltage, V⊙L = VLL.
c) The real power consumed by the load can be calculated as P =\(3 * |IL|^2 *\) Re(Zload), where Zload is the impedance of the load per phase.
The reactive power consumed by the load can be calculated as Q = \(3 * |IL|^2\)* Im(Zload).
The apparent power consumed by the load can be calculated as S = \(\sqrt{P^2 + Q^2}\)
d) The power factor of the load can be calculated as PF = P / S.
e) The real power consumed by the transmission line can be calculated as Pline = \(3 * |IL|^2\) * Re(Zline), where Zline is the impedance of the transmission line per phase.
The reactive power consumed by the transmission line can be calculated as Qline = \(3 * |IL|^2\)* Im(Zline).
The apparent power consumed by the transmission line can be calculated as Sline \(= \sqrt{(Pline^2 + Qline^2)}\).
f) Since the generator is ideal, there is no real or reactive power consumed by the generator. Therefore, the real and reactive powers consumed by the generator are both zero. The apparent power consumed by the generator can be calculated as Sgen = \(3 * |IL|^2\)* |Vphase|.
g) The power factor of the generator is also zero, as there is no real power consumed by the generator.
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Can anyone help me please?
Valeria drew a scale drawing of a house and its lot. The scale of the drawing was
12 centimeters : 7 meters. The actual length of the front patio is 21 meters. How long is the
patio in the drawing?
centimeters
The length of the patio in the drawing, according to the scale of the drawing of 12 cm : 7 m, is 36 cm.
A scale is defined to be the ratio between the size of a given original object and a new object, which is its representation but is either smaller or bigger. It refers to the relative size of an object. Sometimes it is called a scale factor.
We are given a scale of the drawing of 12 cm : 7 m. Also, the actual length of the front patio is 21 m. To find the length of the patio in the drawing, we'll use algebra.
First, we write an equation that contains the scale of the drawing and the ratio of the actual length of the front patio to the length of the patio in the drawing, which is unknown still so we use a variabel x:
12 cm / 7 m = x / 21 m
Note that we're asked to find the length of the patio in the drawing in centimeters, so we'll then need to convert from meters to centimeters. Remember that 1 meter is defined to be equal to 100 centimeters.
12 cm / (7 · 100) = x / (21 · 100)
12 cm / 700 cm = x / 2,100 cm
Finally, let's solve for x.
12 / 700 = x / 2,100
3 / 175 = x / 2,100
6,300 = 175x
175x = 6,300
x = 36
Since x = 36 and it represents the length of the patio in the drawing, it then is equal to 36 centimeters.
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When Felix started his paper route, he had 25 customers. Every second week he gained 2 new customers. Every third week he lost a customer. How many customers did he have in the seventh week? pls help
The number of customers he would have in the seventh week is 37.
How many customers would there by in the seventh week?The customers of Felix grow at a linear rate. A linear growth rate is when a value increases a constant rate. The customers would increase by 2 each week.
The linear equation that represents the number of customers in the seventh week:
Initial number of customers + [ rate of increase x (number of weeks - 1)]
25 + [2 x (7 - 1)]
25 + (2 x 6)
25 + 12 = 37
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\(x+y=40,8x+6y=300\)
Answer:
x = 30 , y = 10
Step-by-step explanation:
30 + 10 = 40 ,
A bicycle has a listed price of 832.95$ before tax. If the sales tax rate is 6.25% , find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
885.01
Step-by-step explanation:
Find the value of each variable.
[x-5 9 4 t+2] = [-7 w+1 8-r 1]
The value of each variable is:
x = -2
w = 8
r = 4
t = -1
Equating the first elements:
x - 5 = -7
We can solve this equation for x by adding 5 to both sides:
x = -7 + 5
x = -2
Equating the second elements:
9 = w + 1
We can solve this equation for w by subtracting 1 from both sides:
w = 9 - 1
w = 8
Equating the third elements:
4 = 8 - r
We can solve this equation for r by subtracting 8 from both sides:
8 - r = 4
Next, we can subtract 8 from both sides:
-r = 4 - 8
-r = -4
Finally, multiplying both sides by -1 to isolate r:
r = -4 × -1
r = 4
Equating the fourth elements:
t + 2 = 1
We can solve this equation for t by subtracting 2 from both sides:
t = 1 - 2
t = -1
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The error term in a regression equation is said to exhibit homoskedasticty if _____. a. it has the same value for all values of the explanatory variable b. if the error term has a value of one given any value of the explanatory variable c. it has the same variance for all values of the explanatory variable d. it has zero conditional mean
The error term in a regression equation is said to exhibit homoscedasticity if it has the same variance for all values of the explanatory variable.
What is Homoscedasticity?This is a condition in which equal variance is assumed for different groups of data or variables.
The same variance will be observed in the variable in the error term of a regression equation hence option C was chosen.
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Evaluate the expression.
19
DONE
Help please what would the answer beeee.
Answer:
1
Step-by-step explanation:
Answer:1
Step-by-step explanation:
how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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Find the slope
Use this form for example:y=Mx+b
Answer:
Line: y = Mx + b, passes (0, 1) => M*0 + b = 1 => b = 1
Line: y = Mx + 1, pass (2, 4) => 2M + 1 = 4 => M =3/2
=> Line: y = (3/2)x + 1
Hope this helps!
:)
Solve the logarithmic equation with Properties of Logs
Answer:
Simplifying
logx + -4 = 0
Reorder the terms:
-4 + glox = 0
Solving
-4 + glox = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + glox = 0 + 4
Combine like terms: -4 + 4 = 0
0 + glox = 0 + 4
glox = 0 + 4
Combine like terms: 0 + 4 = 4
glox = 4
Divide each side by 'lox'.
g = 4l-1o-1x-1
Simplifying
g = 4l-1o-1x-1
Answer:
\(x=40000\)
Step-by-step explanation:
\(log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000\)
Consider this expression. - 4 x 2 + 2 x − 5 ( 1 + x ) What expression is equivalent to the given expression? x 2 + x +
The expression equivalent to\(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)
This expression matches the form \(x^2 + x + c,\) where c = 5.
To simplify the given expression \(-4x^2 + 2x - 5(1 + x)\) and make it equivalent to the expression \(x^2 + x + c,\) where c is a constant term, we need to perform some algebraic operations.
First, let's distribute the -5 to the terms inside the parentheses:
\(-4x^2 + 2x - 5 - 5x\)
Next, we can combine like terms:
\(-4x^2 + (2x - 5x) - 5 - 5x\)
Simplifying further:
\(-4x^2 - 3x - 5 - 5x\)
Now, let's rearrange the terms to match the form \(x^2 + x + c:\)
\(-4x^2 - 3x - 5x - 5\)
To make the leading coefficient positive, we can multiply the entire expression by -1:
\(4x^2 + 3x + 5x + 5\)
Now, we can combine the x-terms:
\(4x^2 + 8x + 5\)
So, the expression equivalent to \(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)This expression matches the form \(x^2 + x + c,\) where c = 5.
It's important to note that the original expression and the equivalent expression have different coefficients and constants, but they represent the same mathematical relationship.
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To prepare for swim team tryouts, Leann swam in the pool. On Monday, she swam for 24 minutes. On Tuesday, she swam for 18 minutes. On Wednesday, Thursday, and Friday, she swam for 30 minutes each day. How many minutes did Leann swim this week? *
In order to find how many minutes Leann swan this week, we just need to sum the time from each day:
Monday: 24 minutes
Tuesday: 18 minutes
Wednesday: 30 minutes
Thursday: 30 minutes
Friday: 30 minutes
\(24+18+30+30+30=132\)So in total Leann swan 132 minutes this week.
Question 1 of 10
Which of the following rational functions is graphed below?
The rational function graph is of the function f(x)=1/(x-6) since it does not touch the point (6,0).
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. "A function is a rule that assigns one output to each input. They arise when each x-value corresponds to exactly one y-value." You've undoubtedly also heard of the vertical line test.
Here,
The graph of rational function is of function f(x)=1/(x-6) as it does not touch the point (6,0).
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21. A tuxedo rental service charges $125 flat fee for a suit, plus $30 more for eachadditional day. Write an equation for this situation where y = total cost and x =additional days.22, What is the total cost for renting a suit after 3 days? (refer to your equation from #21)
The fixed cost for suit is $125 and for every additional day, the cost can be calculated as 30*x.
Therefore, the total cost is the sum of the fixed cost ($125) and the additional cost per additional day ($30x). So, the total cost y is:
y = 125 + 30x
To calculate the total cost after 3 days, we need to replace x by 3 on the initial equation as:
y = 125 + 30*3
y = 125 + 90
y = 215
Answers: 21. y = 125 + 30x
22. $215
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
2
70
4
75
9
80
8
85
1
90
1
Answer:
please see the photo above for detailed analysis.