If the tan V=4/3, what is the value of sec V
The value of sec(V) is 5/3
How to solve the trigonometry expression?The tangent is given as:
tan(V) = 4/3
To solve for sec(V), we use the following identity
sec^2(V) = tan^2(V) + 1
So, we have:
sec^2(V) = (4/3)^2 + 1
This gives
sec^2(V) = 16/9 + 1
Evaluate the sum
sec^2(V) = 25/9
Take the square root
sec(V) = 5/3
Hence, the value of sec(V) is 5/3
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Write the following number in Standard Form: 4.32x 10^-5
Answer:
0.0000432
Step-by-step explanation:
In scientific notation, 10 raised to a negative number means that the number is less than 1. If the exponent is -5, the decimal place needs to be moved to the left 5 places. This makes the number in standard form: 0.0000432.
Find the exact perimeter of hexagon ABCDEF plotted below.
A(-6,2)
F(-6,-3)
B(1,5)
E(1,-3)
C(6,5)
D(6,-1)
Answer:
36.
Step-by-step explanation:
try this option provided on the attached picture.
Assume the following 5 scores represent a sample: 2, 3, 5, 5, 6. Transform these scores into z-scores. Show all steps
The z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
How to transform the scores?The sample scores are given as:
2, 3, 5, 5, 6.
Calculate the mean and the standard deviation using a statistical calculator.
From the statistical calculator, we have:
[tex]\bar x = 4.2[/tex] --- mean
[tex]\sigma_x = 1.64[/tex] --- standard deviation
The z-score is then calculated using
[tex]z= \frac{x - \bar x}{\sigma}[/tex]
Where:
x = 2, 3, 5, 5, 6.
So, we have:
[tex]z_1= \frac{2 - 4.2}{1.64} = -1.34[/tex]
[tex]z_2= \frac{3 - 4.2}{1.64} = -0.73[/tex]
[tex]z_3= \frac{5 - 4.2}{1.64} = 0.48[/tex]
[tex]z_4= \frac{5 - 4.2}{1.64} = 0.48[/tex]
[tex]z_5= \frac{6 - 4.2}{1.64} = 1.10[/tex]
Hence, the z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
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What’s the correct answer answer asap
Answer:
I believe the answer is B, it makes the most sense
Step-by-step explanation:
The operating costs of a swimsuit distributor are $120,000 per year plus $23 per swimsuit. The current partners have
500,000 to spend and are considering a new partner who has $150,000. How many swimsuits can they produce with and
without the new partner?
The swimsuits that can be produced with the new partner is 23,043.
The swimsuits that can be produced without the partner is 16,521.
How many swimsuits can be produced?The equation that relates total cost, operating cost and cost per swimsuit together is
Total cost = operating cost + (cost per swimsuit x number of swimsuits)
500,000 = 120,000 + ($23x s)
500,000 - 120,000 = 23s
380,000 = 23s
s = 380,000 / 23
s = 16,521
Number of swimsuits that can be produced with the new partner:
(500,000 + 150,000) = 120,000 + ($23x s)
650,000 = 120,000 + 23s
650,000 - 120,000 = 23s
530,000 = 23s
s = 530,000 / 23
s = 23,043
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21' 9" - 13' 1"
feet
<
>
Inches
Answer: 104 inches or 8' 8"
Step-by-step explanation:
1 foot = 12 inches
21 * 12 = 252 inches + 9 = 261 inches
13 * 12 = 156 + 1 = 157 inches
261 - 157 = 104 inches
104 / 12 = 8' 8"
f '(x) = sin(x) - 65
What is f(x)?
Hello,
f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x
Part G
Use the results from Part E and Part F to determine the year Helike disappeared. Express your answer in terms of BC or AD
The computation shows that the year that Helike disappeared is 2248 years in between.
How to calculate the value?From the information, Helike disappearance was denoted as -1/5w. The year that civil year ended was represented as c + 1/4c.
This implies that year Helike disappeared will be:
= c + 1/4c - +-1/5w)
= 2248 years.
Here is the complete question:
The year the Greek city of Helike disappeared is -⅕ times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helike’s disappearance.
Part G
Use the results from Part E and Part F to determine the year Helike disappeared. Express your answer in terms of BC or AD.
Part H
Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War. Write the expression in terms of c and w. Then solve the expression to find out how many years separate these two events.
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I would to know how to solve this question
The information given about the probability shows that the expected maintenance cost is $22950.
How to calculate the cost?From the information given, the repair hours and the probability are given.
In this case, the maintenance cost will be:
= (8 × 0.05) + (10 × 0.12) + (12 × 0.15) + (14 × 0.32) + (15 × 0.22) + (17 × 0.14) × $1700
= 13.50 × $1700
= $22950
In conclusion, the correct option is D.
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Find the component of the set given
The complement of the given set is:
A* = {-1, 0, 1, 4, 5}
How to find the complement of the set?For any set A on a universal set U, such that:
A ⊂ U.
The complement of A is the set of all the terms on U that do not belong to A.
Here we have:
U = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}
And the given set is:
A = {-3, -2, 2, 3, 6, 7}
Then the complement of A is:
A* = {-1, 0, 1, 4, 5}
(all the elements of U that are not in A).
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A group of men and women are asked if they prefer summer or winter. The resulting two-way frequency table is shown below. Use the data in the table to find each probability. a. P(woman) b. P(woman or summer) c. P(woman and summer) d. P(woman | summer)
women: summer 85 Winter 32
Men: summer 70 winter 51
The probability of women will be 0.49.
How to calculate the probability?Based on the information given, the probability women will be:
Number of women = 85 + 32 = 117
Number of men = 70 + 51 = 121
Total = 117 + 121 = 238
The probability of women will be:
= 117/238
= 0.49
The probability of women or summer will be:
= 0.49 × 155/238
= 0.32.
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What is the weighted average cost of capital if a business has a cost of equity of 12%, a cost of debt of 10%, tax rate of 25%, 20 million market value of debt, and 60 million market value of equity?
If the cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity then the weighted average cost of capital is 10.875%
Given cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity.
We know that weighted average cost of capital= cost of equity* weight of equity+ cost of debt* weight of debt.
Cost of debt (consider after tax)=10%(1-25%)
=10%*0.75
=0.075
Weight of equity=60/80
=0.75
Weight of debt=20/80
=0.25
Weighted average cost of capital=12%*0.75+0.075*0.25
=0.09+0.01875
=0.10875
=10.875%
Hence the weighted average cost of capital is 10.875%
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Solve |x-3|+7=|3x-9|
Answer:
-1/2 and 13/2
Step-by-step explanation:
Choose correct simplification of x^12z^11/x^2z^4
The correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]
How to simplify the expression?The expression is given as:
x^12z^11/x^2z^4
Rewrite properly as
[tex]\frac{x^{12}z^{11}}{x^2z^4}[/tex]
Apply the quotient law of indices
[tex]x^{12-2}z^{11-4}[/tex]
Evaluate the difference
[tex]x^{10}z^{7[/tex]
Hence, the correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]
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Help with proving the following
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
First step
⇒ consider the fact cotθ = 1 / (tanθ)
[tex]\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }[/tex]
Second step
⇒ form a common denominator for the fraction in the 'denominator'
[tex]\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }[/tex]
Let's flip over the fraction on the denominator
[tex]\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx[/tex]
And there you go, you have proved the statement by following these steps!
*note, I used 'x' because the equation creator didn't have 'θ' symbol
Hope that helps!
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If the volume of the bat is 82
cubic inches, what is the remaining volume that will be filled with packing peanuts? Show and explain your
work.
The volume that is left to be filled is approximately: 3,332.6 in.³
What is the Volume of a Box?Volume of a box = (length)(width)(height)
Given the following:
Volume of the bat = 82 cubic in.
Length of box = 30 in.
Width = 18.97 in.
Height = 6 in.
The remaining volume to be filled = volume of box - volume of bat
= (30)(18.97)(6) - 82
= 3,332.6 in.³
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Approximate[tex]\sqrt{48}[/tex]to the tenths place
Answer:
6.9
Step-by-step explanation:
If you have a calculator, you can do this easily.
[tex]\sqrt{48}=4\sqrt{3}\quad \left(\mathrm{Decimal:\quad }\:6.92820\dots \right)[/tex]
Round the Decimal to the tenths place, and you get 6.9.
INECUACION
4x+5>6x-13
Answer:
the answer is x<9 I found this by simplifying and separating the x
PLEASE ANSWER ,Part I
In terms of the trigonometric ratios for ΔBCE, what is the length of CE? Insert text on the triangle in GeoGebra to show the length of CE. Take a screenshot of the triangle with the text, save it, and insert the image in the space below.
By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.
How to calculate the length of CE?In order to determine the length of side CE, we would apply the law of cosine because both side CE and side BC respectively represent the adjacent side and hypotenuse of right-angled triangle BCE.
cos(θ) = Adj/Hyp
Where:
Adj is the adjacent side of a right-angled triangle.Hyp is the hypotenuse of a right-angled triangle.θ is the angle.Substituting the parameters into the formula, we have;
cos(θ) = CE/BC
cos(11.46) = CE/9.41
Cross-multiplying, we have:
CE = 9.41 × cos(11.46)
CE = 9.41 × 0.9801
CE = 9.22 cm.
By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.
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Find the mode if any of the list of data 13, 13, 15, 15, 14, 15,13
slope of (1,10) (1,-8)
step by step?!
Answer:
undefined - you can't divide by 0!
Step-by-step explanation:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{10-(-8)}{1-1}[/tex]
m = 18/0
In order to find the slope, we have the formula is
The change of Y (Also Y minus each other)
----------------------------------------------------------------- Over (As fraction
The change of X (Also X minus each other)
Now the first point is (1,10) The Y is 10
The X is 1
Now the Second Point is (1,-8) The Y is -8
The X is 1
So now we plug the numbers in
10-(-8)
--------- which is equal to 18/0
1-1
A quick tip is that you CAN'T divide by zero
Therefore the answer is unidentified, but now you know how to solve for slopes
Alice and Dakota are packing gift boxes. Alice has already packed 21 additional boxes and is packing 8 additional boxes per hour. Dakota has already packed 28 additional boxes and is packing 6 additional boxes per hour. Which function can Alice and Dakota use to determine the total number of boxes they have packed after x hours? How many boxes will they have packed after 4 hours
Find the gas mileage.
534 mi; 22 gal
Answer:
fvbafdbai
Step-by-step explanation:
gyhghg
Part D
Whose tiles cover more area per tile? Use complete sentences to explain your reasoning.
The person that would cover the most tile is Bruce because 1/4 is bigger than 1/6.
How to solve for the size of the tilesBruce has been said to have the need for 1/4 square foot of tiles
Felicia on the other hand would need
1/6 for 1 sq foot
12 for 2 square foot
18 for 3 square foot
Bruce is knwon to cover
[tex]\frac{1}{4} x[/tex]
For felicia one square foot is covered by 1/6th
Now we have to know the one that is larger.
1/4 is bigger than 1/6
Hence we can conclude that Bruce is going to cover a larger are than Felicia.
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Answer: The person who covered the most tiles is Bruce, because 1/4 is bigger than 1/9.
Step-by-step explanation:
A cube has side length a. The side lengths are decreased to 50% of their original size. Write an expression in simplest form for the volume of the new cube in terms of a. An expression is .
Answer: (a * 50%)^3
Step-by-step explanation:
length = a
(a * 50%)^3
If a would've been the length and would've been decreased to 50%, the volume would be equal to that expression.
# 80. Find the equation of the line perpendicular to the line x = 3 and passing though the
midpoint of the segment joining (-2, 2) and (4, -8).
Answer: y = -3
Step-by-step explanation:
The midpoint is [tex]\left(\frac{-2+4}{2}, \frac{2-8}{2} \right)=(1, -3)[/tex].
The line given is a vertical line, so we need a horizontal line.
Thus, the equation is y = -3.
14) Complete.
Purchase Price: $225.75
Finance Charge:
Down Payment: $25
Number of Payments: 12
Monthly Payment: $22.50
O a.) $68.50
Ob.) $65.55
Oc.) $59.35
Od.) $69.25
Finance charge is: d.) $69.25.
Finance chargeUsing this formula
Finance charge=(Monthly payment× Number of payment)-(Purchase price-Down payment)
Let plug in the formula
Finance charge=($22.50×12)-($225.75-$25)
Finance charge=$270-$200.75
Finance charge=$69.25
Therefore the Finance charge is: d.) $69.25.
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If f(n) = n²-n, then f(-4)
Answer:
20
Step-by-step explanation:
Just replace n by -4
[tex]\frak{Hi!}[/tex]
[tex]\orange\hspace{300pt}\above0.8[/tex]
We have the expression-:
[tex]\boldsymbol{\sf{f(n)=n^2-n}}[/tex], and we should evaluate that for
[tex]\boldsymbol{\sf{f(-4)}}[/tex]. To do that simply put in the value for x-:
[tex]\boldsymbol{\sf{f(-4)=(-4)^2-(-4)=16+4=20}}[/tex]
done!!
[tex]\orange\hspace{300pt}\above3[/tex]
A man ordered 5 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.33 per box, and felt-point pens cost $3.42. If the man’s order of pens totaled $75.21, how many boxes of each type of pen did he buy
Using equation, He bought 3 boxes of ballpoint pens and 15 boxes of felt-tip pens
How to find the boxes of each type of pen using equation?let
x = number of boxes of ballpoint pens
y = number of boxes of felt-tip pens
Therefore, the situation will form an equation.
x = 5y
Hence,
4.33x + 3.42y = 75.21,
4.33(5y) + 3.42y = 75.21
21.65y + 3.42y = 75.21
25.07y = 75.21
y = 75.21 / 25.07
y = 3
x = 5(3) = 15
Hence, he bought 3 boxes of ballpoint pens and 15 boxes of felt-tip pens
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