Answers
Answer:
From the image, we can see that ∠AOC = ∠AOB + ∠BOC
We are given the following values:
∠AOC = 104
∠AOB = 7x + 30
∠BOC = 9x + 42
Plugging these values in the equation above:
∠AOC = ∠AOB + ∠BOC
104 = 7x + 30 + 9x + 42
104 = 16x + 72
16x = 32
x = 2
Now that we have the value of x, we can easily find the value of ∠BOC
We are given that:
∠BOC = 9x + 42
∠BOC = 9(2) + 42 (since x = 2)
∠BOC = 18 + 42
∠BOC = 60°
Therefore, ∠BOC is 60 degrees
Related Questions
Can someone please help me solve these word problems?
Answers
Answer:
7. 39
Jim is 39 years younger.
Which of the following is the correct factorization of 7x2-36x+5
Answers
then the answer should be (7x-1)(x-5)
Use the maps to select the word or phrase that best completes each sentence. Ancient Egypt differs from modern Egypt mainly in terms of Modern Egypt has more y than ancient Egypt. However, in both ancient Egypt and modern Egypt, most cities were located near the
Answers
Answer:
Ancient Egypt differs from modern Egypt mainly in terms of ✔ size .
Modern Egypt has more ✔ territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the ✔ Nile River .
i would really appreciate it if you mark this answer brainlest.
The word or phrase that best completes each sentence are size, territory and Nile River.
What as the ancient Egypt about?The ancient Egypt was a civilization in northeastern Africa that dates from the 4th millennium BCE and its many achievements were preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets.
Ancient Egypt differs from modern Egypt mainly in terms of size.
Modern Egypt has more territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the Nile River.
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You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p. q(p) =
(b) Find the nightly revenue R as a function of the cover charge p. R(p) =
(c) The club will provide two free non-alcoholic drinks for each guest, costing the club $2 per head. In addition, the nightly overheads (rent, salaries, dancers, DJ, etc.) amount to $2,000. Find the cost C as a function of the cover charge p. C(p) =
(d) Now find the profit in terms of the cover charge p. P(p) = Determine the entrance fee you should charge for a maximum profit. p = $ per guest
Answers
(a) The number of guest per night=p,
and the cover charge for one night per person=q.
Let the liner demand equation be [tex]q(p)=mp+c\cdots(i)[/tex],
where m and c are constants.
Given that for the first week: q=345 and p=$7 and
for the second night: q=300 and p=$10.
Put these values in equation (i), we have
345=7m+c
[tex]\Rigntarrow c=345-7m\cdots(ii)[/tex]
and
300=10m+c
[tex]\Rightarrow 300=10m+(345-7m)[/tex] [from equation (ii)]
[tex]\Rightarrow 3m=-45[/tex]
[tex]\Rightarrow m=-15[/tex]
and from equation (ii),
[tex]c=345-7\times(-15)=450[/tex].
Hence, the required demand equation is:
[tex]q(p)=-15p+450\cdots(iii)[/tex]
(b) Revenue = (Number of guests) x (Cover charge)
R=qp
[tex]\Rightarrow R(p)=(-15p+450)p[/tex] [from equation (iii)]
[tex]\Rightarrow R(p)=-15p^2+450p\;\cdots(iv)[/tex]
(c) The costs per night for drinks for the number of guest p is $2p and the nightly overheads is $2000.
So, the required cost function is
[tex]C(p)=2p+2000\;\cdots(v)[/tex]
(d) Profit=(Revenue)-(Total costs)
i.e [tex]P(p)=R(p)-C(p)[/tex]
Using equations (iv) and (v), we have
[tex]\Rightarrow P(p)=(-15p^2+450p)-(2p+2000)[/tex]
[tex]\Rightarrow P(p)=-15p^2+448p-2000.[/tex]
Now we have the profit function as function of cover charge (entry fee) per person.
So, to get the maximum profit, P, differentiate the profit function with respect to the cover charge, q and equate it to zero to get the eqtremum point.
[tex]\frac {dP}{dq}=0[/tex]
[tex]\Rightarrow -30p+448=0[/tex]
[tex]\Rightarrow p=14.93[/tex]
This point is either maxima or minima, so differentiate the profit function twice to to ensure the value of p corrosponding to what.
[tex]\frac {d^2P}{dq^2}=-30[/tex]
This the second deravitive is negative, so p=14.93 is the value for maximum profit.
Hence, for the maximum profit, the cover charge per guest is $14.93.
Which value would make the statement true?
Answers
Answer:
4
Step-by-step explanation:
cause 2/4=1/2 which is greater than 4/12
Answer:
4
Step-by-step explanation:
Because if you plug in four then you reduce both 1/2 is greater then 1/4.
Find the midpoint of the segment with the given endpoints.
(-4,-9) and (-2,1)
Answers
Answer:
it is -2,1 I really hope that helps
Jamie’s string is 10 ft 1 in. long. Emma’s string is 6 ft 4 in. long. How much longer is Jamie’s string
Answers
Answer:
3 ft 9 in
Step-by-step explanation:
PLEASE HELP THIS MAKES MY BRAIN HURT
Answers
23x+7=122
23x=115
Answer
X=5
Simplify 5x-2>19-2x
3x-5<5x-3
Answers
Given expressions:
5x -2 > 19 - 2x
3x -5 < 5x - 3
Simplifying;
a. 5x -2 > 19 - 2x ;
Collect like terms;
5x + 2x > 19 + 2
7x > 21
Divide both sides by 7 to give;
x > 3
Not if we divided by a negative value, the sign of the inequality changes.
b. 3x -5 < 5x - 3
Collect like terms;
3x - 5x < -3 + 5
-2x < 2
Divide both sides by (-2), note, the sign of the inequality changes;
x > -1
Which are correct representations of the inequality -3(2x - 5) <5(2-x)? Select two options.
Ox<5
0 6x-5< 10-X
0-6x + 15 < 10-5x
+
-3
-2 -1 0
1
2
3
+
4
5 6 7
-7
-6
-5
-4
-3
-2
+
-1 0
+
3
1
2
Answers
Answer: -6x + 15 < 10-5x and the numberline with the 5---->
Step-by-step explanation:
Solving -3(2x-5) < 5(2-x)
Distribute the -3 to the 2x giving you -6x and -3 to the -5 giving you 15.
Distribute 5 to 2 giving you 10 and 5 to -x ginving you -5x.
Then just solve -6x+15 < 10-5x
+6x +6x
10+x > 15
-10 -10
x>5
The numberline with the postive 5 is the correct answer.
Answer: c d
Step-by-step explanation:
Find the cube root three into 125a6
Answers
Answer:
✅ 5a²⬇ Down Below is from Edge 2020 ⬇
Graph the compound inequality on the number line.
x2 and x <8
-10.98
53
12
8 9 10
ILL GIVE BRAINLIEST
Answers
put your point on 2 and make sure it isn’t open bc it is greater than or equal to (looks like “•”) then you draw your arrow to 8 bc it can’t be greater than that
Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon.
1. Which of the following outcomes corresponds to a Type I error?A. You allow the passenger to board his flight when the passenger has a weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You allow the passenger to board his flight when the passenger has no weapon.D. You select the passenger for further inspection when the passenger has a weapon.2. Which of the following outcomes corresponds to a Type II error?A. You allow the passenger to board his flight when the passenger has no weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You select the passenger for further inspection when the passenger has a weapon.D. You allow the passenger to board his flight when the passenger has a weapon.As a security screener, the worst error you can make is to allow the passenger to board his flight when the passenger has a weapon. The probability that you make this error, in our hypothesis testing analogy, is described by _____.
Answers
Answer:
1. A. You allow the passenger to board his flight when the passenger has a weapon.
2. B. You select the passenger for further inspection when the passenger has no weapon.
Explanation:
1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.
2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.
Is the height of these students a function of their wrist circumference
Answers
Answer:
c
Step-by-step explanation:
Answer:
C. No because the height of 151 cm is paired with two wrist circumferences.
Step-by-step explanation:
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
Answers
Answer:
4p – 7 = 13
Step-by-step explanation:
A person bikes 2 1/2 miles in 1/8 of an hour how far do they bike in 1 whole hour
Answers
Answer:
The person will bike 20 miles.
Step-by-step explanation:
What’s 605,000 in scientific notation
Answers
This is the answer for what is 605,000 in scientific notation.
Answer:
6.05 × 10∧5Step-by-step explanation
make a decimal at the end if the Number. Move the decimal until the lest of it is more than one and less than ten. And since you move the decimal 5 times the five goes over the ten
the rectangle below has a total perimeter of 125cm:
write an equation and solve it to find the length of the longer side of the rectangle
Answers
X=I
2(5)+x=125
10+2x=125
2x=115
X=57.5 so your length is 57.5
What is the length of segment VS?
O 3 units
11 units
13 units
O 15 units
Answers
From the diagram given, line TR and RV are equal, using the obtained value of x, the value of the segment VS is 15 units
5x - 4 = 2x + 5
5x - 2x = 5 + 4
3x = 9
x = 9/3
x = 3
TS = VS
Hence, VS = 6x - 3
Substitute the value of x to obtain the value of VS :
VS = 6x - 3
VS = 6(3) - 3
VS = 18 - 3
VS = 15 units
Hence, the length of the segment VS is 15 units.
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Answer:
15 units :)
Step-by-step explanation:
Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 along with an interest of $243. What was the annual interest rate? Round your answer to one decimal place
Answers
Answer: 1.8%
Step-by-step explanation:
The annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that:
Moira borrowed $4,500 from her grandfather to pay for her first year of college.
Three years later, she repaid the $4,500 along with an interest of $243.
Using the formula:
I = Prt
P = $4500
I = $243
t = 3
243 = 4500(r)(3)
243 = 13500r
r = 0.018
r = 1.8%
Thus, the annual interest rate is 1.8% if Moira borrowed $4,500 from her grandfather to pay for her first year of college.
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-100:2463-3+1
62 + (-3)3-23
Answers
Answer:
Try this but I am not 100% sure:
246173
Step-by-step explanation:
Solve for Y. Y/11.2=7
Answers
Answer:
y=78.4
Step-by-step explanation:
78.4/11.2 is 7
John Doe, a super-genius student (known also under his nick-name Wile E. Coyote, super-genius) has just graduated from SPEA and found a job that will allow him to purchase a car to finally catch Roadrunner. He can either buy a new car at a cost of $22,000, buy a used car for $12000 or lease a new car for one year at a cost of $8,500 (assume total cash purchase up front, no financing or monthly payments required). The new car has a 20% chance of a serious break down resulting in a permanent impairment to the trade-in value. The trade-in value for the new car without a serious break down after one year is $18,000 but only $10,000 if the break down occurs. On the other hand, the used car has a 40% chance of suffering a major break down with a $8,000 decrease in the resale value. However, if it does not break down, Wile can sell it to a friend one year from now for $9,000 cash (assume he can also sell it to the friend for $4,000 if the breakdown occurs). Finally, the leased car has a 10% chance of breaking down with a repair cost of only $2,000, and if it doesn’t, Wile will not gain or lose anything by returning the car at the end of a one year lease period. NOTE: For the new and used car purchases all related repair costs resulting from a breakdown have been netted against the trade-in / resale value.
a. Construct a decision tree for Wile
b. What is the expected value of the new car?
c. What is the expected value of the used car?
d. What is the expected value of leasing the car?
Answers
Answer: See explanation
Step-by-step explanation:
a. Construct a decision tree for Wile
The solution to the question has been attached.
b. What is the expected value of the new car?
= [(0.2 × $10,000) + (0.8 × $18,000)] - $22,000
= $2000 + $14400 - $22000
= $16400 - $22000
= -$5600
c. What is the expected value of the used car?
= [(0.4 × $4000) + (0.6 ×$9000] - $12000
= $1600 + 5400 - $12000
= $7000 - $12000
= -$5000
d. What is the expected value of leasing the car?
= [(0.1 × -$2000) + (0.9 ×0)] - $8500
= -$200 - $8500
= -$8700
Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of Damario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?
Answers
By how much does 5 exceed -4?
(a) 1
(b)-1
(c) 9
(d) -9
Answers
Answer:
C
Step-by-step explanation:
-4+9=5
write 5.3 x 10^-9 in standard notation please!!
Answers
Answer:
0.53 x 10^ -8
Step-by-step explanation:
Just move the decimal over to the right and add 1 to the exponent.
The perimeter of a greeting card is 74 centimeters. The greeting card is 22 centimeters tall. How wide is it?
Answers
Answer:
15cm
Step-by-step explanation:
the width is xcm
22 + 22 + 2x = 74
44 + 2x = 74
2x = 30
x = 15
the width is 15cm
On Wednesday, a local hamburger shop sold a combined total of 360 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answers
Answer:
120
Step-by-step explanation:
360 combined, 2/3 is cheese, so 1/3 is hamburger, 1/3 of 360 is 120.
Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period.)
Answers
Answer:
Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.
Taxable income is therefore;
= 3,500 - (76.90 * 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $3,073. Status is married.
= 565.15 + (28% * (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
Social Security
= Gross pay * 6.2%
= 3,500 * 6.2%
= $217
Medicare
= 3,500 * 1.45%
= $50.75
Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
. What would be the new coordinates if (-2,-4) is translated 5 units up and
7 units to the left.
Answers
Answer:
(-9, 1)
Step-by-step explanation:
translating UP is to increase on the y axis, so -4+5=1
translating to the LEFT is to subtract on the x axis so-2-7=-9