Tiger Woods's agent earns $2,000 per week plus 25% commission on all of Tiger's
earnings. Last week, Tiger earned $81,718. How much money did the agent make?
a) $20,429.50
b) $22,429.50
c) $63,288.50
d) $104,147.50
4. If z, a+bi and z, c+di represent two complex numbers with real components a, b, c and d, then which of the following represents the coefficient of i in the product of z, and z,?
(1) ac-bd
(2) ad-be
(3) ab+cd
(4) be+ad
Answer:3
Step-by-step explanation:
On a piece of paper, graph y>-2x-2. Then determine which answer choice matches the graph you drew.
Answer:
Graph B
Step-by-step explanation:
Hope this helps
I need help
Cristina and Kori both leave the restaurant at the same time, but in opposite directions. If Kori travels 9 mph faster than Cristina and after 6 hours they are 186 miles apart, how fast is each traveling?
Carrie left the restaurant traveling 12 mph. Then, 4 hours later, Leah left traveling the same direction at 24 mph. How long until Leah catches up with Carrie?
Paige started biking to the mall traveling 8 mph, after some time the bike got a flat so Paige walked the rest of the way, traveling 5 mph. If the total trip to the mall took 8 hours and it was 46 miles away, how long did Paige travel at each speed?
Answer:
Question 1)
Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.
Question 2)
Four hours.
Question 3)
Paige spent two hours biking and six hours walking.
Step-by-step explanation:
Question 1)
Let Cristina's speed be x.
Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).
After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.
Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.
Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:
[tex](6x)-(-6(x+9))=186[/tex]
Distribute:
[tex]6x-(-6x-54)=186[/tex]
Distribute:
[tex]6x+6x+54=186[/tex]
Simplify:
[tex]12x=132[/tex]
Hence:
[tex]x=11[/tex]
Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.
Question 2)
Let h represent the amount of time that has passed in hours.
Carrie left the restaurant traveling 12 miles per hour.
Four hours later, Leah left traveling in the same direction at 24 miles per hour.
After four hours, Carrie would have traveled 12(4) = 48 miles.
Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:
[tex]12h+48[/tex]
Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:
[tex]24h[/tex]
Leah will catch up when the two expressions are equivalent. Hence:
[tex]12h+48=24h[/tex]
Solve for h:
[tex]12h=48\Rightarrow h=4[/tex]
Leah will catch up with Carrie in four hours.
Question 3)
Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.
The total trip to the mall took eight hours. Hence:
[tex]x+y=8[/tex]
The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:
[tex]8x+5y=46[/tex]
Solve the system. We can use elimination. Multiply the first equation by -5:
[tex]-5x-5y=-40[/tex]
We can add this to the second equation:
[tex]3x=6[/tex]
Hence:
[tex]x=2[/tex]
Using the first equation again:
[tex](2)+y=8\Rightarrow y=6[/tex]
So, Paige spent two hours biking and six hours walking.
3
Select the correct answer.
Cora, her sister, and four friends are going to share a bag of candy equally. There are 120 candies in the bag. How many candles will each person
get?
OA 20
OB. 24
OC. 30
Reset
Next
21 Edmentum. All rights reserved.
Cora, her sister, and four friends. So there are 6 people, 120 candies are divided equally in the bag, so each person gets 20 candies
Each person will get 20 candles.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
Number of candles in the bag = 120
Cora, her sister, and four friends are going to share.
So, Number of person = 6
Thus, candles each person gets = Number of candles in the bag / Number of person
⇒ candles each person gets = 120 / 6
⇒ candles each person gets = 20
Thus, each person will get 20 candles.
To learn more about Division :
brainly.com/question/28032495
#SPJ2
what's a circumference of a circle with a diameter of 100 inches
Answer:
The circumference will be equal to 314 inches if we take 3.14 as pi's value.
Step-by-step explanation:
In order to find the circumference, we need to know the following...
circumference = diameter x π
π is a math constant pi.
So we just substitute the values and get that...
circumference = 100 x π
circumference = 100π
circumference ≅ 314 inches
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answer:
2 Step-by-step explanation:
in the places there is X you put -3 , -3 squared minus 7 is equal to 9 , 9-7 is equal to 2
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided : F ( x ) = x² - 7 & we're asked to evaluate F ( - 3 ).All you need to do is to assume the value of x as ( - 3 ).[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
When x = ( - 3 ) ,[tex] \large{ \tt{⋆ \: f( - 3) = {( - 3)}^{2} - 7}}[/tex]
[tex] \large{ \tt{↦ \: f( - 3) = ( - 3) \times ( - 3) - 7}}[/tex]
Multiplying a negative integer by a negative integer gives a positive integer![tex] \large{ \tt{↦f( - 3) = 9 - 7}}[/tex]
[tex]↦ \large{ \tt{f( - 3) = \boxed{ \tt{2}}}}[/tex]
Hence , F ( - 3 ) = 2 .[tex] \tt{✺ \: COMFORT \: IS \: THE \: ENEMY \: OF \: ACHIEVEMENT\: ♪}[/tex]
♡ Hope I helped! ♕
☃Have a wonderful day / evening ! ☼
# StayInAndExplore ! ☂
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The city of Atlanta wants to paint a cylindrical-shaped water tank. The height of the tank is 88 feet and the radius is 25 feet. How much water will this tank hold
Answer:
The tank can hold water 172,857.14 cubic feet
Step-by-step explanation:
Given that the shape is cylindrical, the amount of water it can hold may be determined using the formula for the volume of a cylinder.
The volume V of a cylinder whose base radius r and height is h is given as
V = Pir^2h where Pi is 22/7
Given that the height of the tank is 88 feet and the radius is 25 feet, then the volume V
= 22/7 * 25^2 *88
= 172,857.14 cubic feet
m to third power
n if m = 4 and n= 5
Which of the following represent statistical questions? Select the two correct answers.
A How many books did each student in your school read last year?
В.
How many types of vegetables are in Mary's salad today?
C. What was the temperature in Chicago at noon yesterday?
D. How many types of bears exist today?
E. What types of movies do people like to watch?
Answer:
A and E
Step-by-step explanation:
A cooler contains twelve bottles of sports drink: three lemon-lime flavored, four orange
flavored, and five fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an
orange.
A).583
B).333
C).727
D).714
A plane is 116 mi north and 182 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to the nearest tenth of a degree. (Listing BRAINLEST) !
Answer: 32.5
Step-by-step explanation:
Just look up trigonometry calculator should be the first thing
please solve right now
Answer:
45 mph
251 ft
Step-by-step explanation:
[tex] s = \sqrt{30fl} [/tex]
a.)
[tex] s = \sqrt{30(0.85)(80)} [/tex]
[tex] s = \sqrt{2040} [/tex]
[tex] s = 45 [/tex]
Answer: 45 mph
b.)
[tex] 80 = \sqrt{30(0.85)l} [/tex]
[tex] 80^2 = (\sqrt{25.5l})^2 [/tex]
[tex] 25.5l = 6400 [/tex]
[tex] l = 251 [/tex]
Answer: 251 ft
help me please 2t = 10
Answer: t = 5
Step-by-step explanation:
If 2t = 10, then we divide 10 by 2. The answer is 5.
he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 5 weekdays and finds an average of 259.23 gallons of milk sold on those days with a standard deviation of 34.713. 10 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 365.12 with a standard deviation of 48.297. Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Answer:
90% confidence interval is ( -149.114, -62.666 )
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 259.23 x"₂ = 365.12
s₁ = 34.713 s₂ = 48.297
n₁ = 5 n₂ = 10
With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }
significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1
Since we are to assume that variance are equal and they are know, we will use pooled variance;
Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13
Now, pooled estimate of variance will be;
[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]
we substitute
[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]
[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [ 4 + 9 ]
[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [ 13 ]
[tex]S_p^2[/tex] = 25813.3692 / 13
[tex]S_p^2[/tex] = 1985.64378
Now the Standard Error will be;
[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]
[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]
[tex]S_{x1-x2[/tex] = √595.693134
[tex]S_{x1-x2[/tex] = 24.4068
Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771 { t-table }
So,
Margin of Error E = [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
Margin of Error E = 1.771 × 24.4068
Margin of Error E = 43.224
Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89
So, Limits of 90% CI will be; x₁ - x₂ ± E
Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114
Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666
Therefore, 90% confidence interval is ( -149.114, -62.666 )
What is an equation of the line that passes through the points (4, 1) and (8, -3)?
Answer:
y=-1x+5
Step-by-step explanation:
Please show you're work! Thanks! Will give brainy
y = x²-8x+ 15
a. If x = -2, what does y equal?
b. If x = 1, what does y equal? (You can check your answer in Desmos Graphing)
c. Using Desmos, find the (x, y) coordinates of the vertex of the parabola.
Answer:
see below
Step-by-step explanation:
y = x²-8x+ 15
Let x = -2
y = (-2)²-8(-2)+ 15
= 4 +16 +15
= 35
Let x = 1
y = (1)²-8(1)+ 15
1 -8+15
=8
The vertex is (4,-1)
find the value of x when r// s
Answer:
x = 81°
Step-by-step explanation:
Refer to the attachment for the steps.~
7*4/2*9/4+1/3*17
Jojocyosmith
Answer:
37.1666666667
Step-by-step explanation:
brainiest please
PLEAASEEEEEE HELPPPPPP IM BEGGING SOMEONE PLEASEEEEEE PLEASEEEEEE HELPPPPPPPPPP
Answer:
the awnser is 124 YW:)
Step-by-step explanation:
62x2=124
Answer:
124 / C
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. We know that angle k is 62, angle J is 90, that adds to 152. 180-152 gives us the third angle of the triangle as 28. Assuming that the two triangles are similar, the angle opposite of the 28 degree is also 28 degrees. The angles on the line should also add up to 180 degrees. So 180 - 28 - 28 = 124.
What is the solution to this system of equations?
There is no solution.
Step-by-step explanation:
Given:
y = 2x + 1
4x - 2y = 4
Substitute y = 2x + 1 into 4x - 2y = 4
4x - 2(2x + 1) = 4
4x - 4x - 2 = 4
0x = 4 + 2
0x = 6
Anything to the multiple of zero is zero. Hence 0x = 0, and 0 ≠ 6
So there is no solution to the equation.
Which statement is true?
Question 18 options:
A)
– |–13| = 13
B)
|–13| = 13
C)
– |13| = 13
D)
|13| = – 13
answer
A. - ( -13) = 13
thank. u
Answer:
b
Step-by-step explanation:
A is incorrect cause it would be a negative
C would also be a negative
D is a positive
so yea
Someone please help me
Answer:
David had x amount of M&M's. He then ate 15 of them for snack. Now David only has 35 M&M's left. How many M&M's did David have in the beginning?
Step-by-step explanation:
Answer:
X= 20
Step-by-step explanation:
Hannah has 35 marbles. Hannah gives away 15 marbles. How many marbles does Hannah have left? Solve the equation X- 15=35.
The table shows the soil density of several soil samples at different depths. A) Write the quadratic regression equation that models the data. Let x = depth below the surface and let y = soil density. (B) Use the equation to estimate the soil density of a sample at a depth of 20 m. Show your work. ( Look at the picture for the table and Answer Part A and Answer Part B) Will Mark Brainliest if correct.
Answer:
depends on the tax percentage
Step-by-step explanation:
Hope this answer helps you.
Have a great day
Mark brainliest
Find the value of x in each parallelogram.
Answer:
x+113=180
Step-by-step explanation:
it's because of parallelogram property that opposite sides are parallel so being parallel this indicates co interior angle and it's sum is 180 so ,x+113=180,x=180_113,x=67 ans
NEED ASAP! What is m
Answer:
B = 31.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp / adj
tan B = 28.2 / 45.8
taking the inverse tan of each side
tan ^ -1 ( tan B) = tan ^-1 (28.2/45.8)
B =31.62145
Rounding to the nearest tenth
B = 31.6
8. Hilma invested N$20 000 on 01/01/2018 at 9.5 % interest p.a compounded semi-annually.
How much will she receive by 01/01/2022?
[5]
Answer:
A = $29,201.97
A = P + I where
P (principal) = $20,000.00
I (interest) = $9,201.97
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 9.5/100
r = 0.095 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 20,000.00(1 + 0.095/12)(12)(4)
A = 20,000.00(1 + 0.007916667)(48)
A = $29,201.97
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $20,000.00 at a rate of 9.5% per year compounded 12 times per year over 4 years is $29,201.97
find the midpoint of A and B where A has tge coordinates (8, 5) and B has the coordinates (3, 7)
Answer:
[tex]midpoint = ( \frac{8 + 3}{2} , \: \frac{5 + 7}{2} ) \\ = ( \frac{11}{2} , \: \frac{12}{2} ) \\ = (5.5, \: 6)[/tex]
substitution method y= 3x-2 and 2x-3y=16
solution (__), (__)
thanks
Answer:
i got (-10/7, -44/7)
A person places a bet on a new type of Roulette wheel with the following probabilities and outcomes: 45% probability of RED: Person Wins $100 45% probability of BLACK: Person Loses $100 10% probability of GREEN: Person Loses $10 What is the expected dollar value for a person playing this game
Answer:
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.
Step-by-step explanation:
Expected dollar value:
Probability of each outcome multiplied by it's monetary outcome.
Outcomes:
45% probability of winning $100.
45% probability of losing $100.
10% probability of losing $10.
What is the expected dollar value for a person playing this game?
[tex]E = 0.45*100 - 0.45*100 - 0.1*10 = -1[/tex]
The expected dollar value for a person playing this game is -$1, that is, a loss of $1.