Answer:c
Step-by-step explanation:
C. 5, 13,12, 67,23, right angle
The distance between Point P and Point Q was 3600 m. Beng Leong started jogging
at 08 35 from Point P and reached Point Q at 08 50. At the same time, Sam started
jogging from Point P at a speed of 200 m/min. Who jogged at a faster speed?
How much faster was his speed?
Answer:
Ben ran at a speed of 240m/min and Sam ran at a speed of 200m/min So Ben is faster by a rate of 40/min
Step-by-step explanation:
Ben's miles per minutes
[tex] \frac{3600}{15} = 240[/tex]
Sam's miles per minute
Given
Which phrase describes the geometric interpretation of dividing a complex number z by i?
O Reflect z across the real axis.
O Reflect z across the imaginary axis.
O Rotate z by 90° clockwise about the origin.
O Rotate z by 90° counterclockwise about the origin.
Answer: Rotate z by 90° clockwise about the origin.
Step-by-step explanation:
Suppose we have the number z = a + b*i, that can be represented with the point (a, b) in a coordinate axis.
If we divide z by i, we have:
[tex]\frac{z}{i} = \frac{a + b*i}{i} = \frac{a + b*i}{i} *\frac{i}{i} = \frac{a*i - b}{-1} = b - a*i[/tex]
This point will be represented with the point (b, -a)
Then we have the transformation:
(a, b) ----> (b, -a)
This is a rotation of 90° clockwise about the origin.
Then the correct option is:
Rotate z by 90° clockwise about the origin.
Answer:
C
Step-by-step explanation:
rotate Z clockwize
Plot the x- and y-intercepts to graph the equation.
y=−x−5
Answer:
See the graph
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: − 1
x-intercept: (-5,0)
y-intercept: ( 0 , − 5 )
Find x. Give reasons to justify your solution
Answer: x = 28
===================================================
Explanation:
The angles COE, EOF, and FOB combine to form angle COB
angle COB = (angleCOE)+(angleEOF)+(angleFOB)
angle COB = (3x)+(x)+(x+12)
angle COB = 5x+12
----------
Angles AOD and COB are vertical angles, so they are congruent
angle COB = angle AOD
5x+12 = 152
5x = 152-12
5x = 140
x = 140/5
x = 28
4
3
2
1
M
5-4-3 -2 -1 이
2345
2
3
Answer: Can you describe it a lil better than that?
Step-by-step explanation:
The difference of half of a number and three is equivalent to negative five?
Answer:
-7
Step-by-step explanation:
Let the number be represented with 'Y'
Half of the number will be = Y/2
The difference of half of a number and 3
= Y/2 - 3
Is equivalent to negative 5
That is,
Y/2 - 3 = -5
y/2-3/1 = -5/1
Collect like terms
y/2 = -5/1+3/2
y/2 = -7/2
Multiply both sides by 2
y/2 ×2 = -7/2×2
Y = - 7
Hence the number is negative 7
If n is an odd number, then its remainder is 1 when I divide it by 2.
17 is an odd number. What conclusion can be made?
Answer: Its remainder is 1 when you divide 17 by 2.
In other words, 17/2 = 8 remainder 1.
The 8 is the quotient.
The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.
1 2 points Krissa works as a cashier in an office supply store. The graph shows the ratio amount earned: time worked. 1 60 Amount Eamed (dollars) 30 10 2. 30 20 . TO 0 2 6 5 7 Time Worked (hours) How much will Krissa earn if she works for 7 hours? $52.50 5 $42.00 $56.00 O $37.50 гу Type here to search O a
Answer:
the answer is 56.00 dollars
Step-by-step explanation:
I did this
Using Point-Slope
Form. write the equation of a
line given the following
information.
(3.4) m=3
PLZ HELP
What is $93.75 round to the nearest cent
Answer:
93.70
Step-by-step explanation:
Question Help Point C is seven units to the left of the y-axis and five units below the x-axis. Write the ordered pair for point C.
Answer:
C = (-7,-5)
Step-by-step explanation:
Analysing the statements in the question, one after the other.
1. 7 units to the left of y axis
This implies that the x coordinate of C is -7
2. 5 units below the x axis.
This implies that the y coordinate of C is -5)
So,
C(x,y) = C(-7,-5)
Hence, the required coordinates of C is (-7,-5)
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars. A snack bag containing 6 of each type of snack costs $21.00. A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00. A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50. Solve a system of three linear equations in three variables to determine the cost of one candy bar.
Answer: $1.25
Step-by-step explanation:
Let the cost of cracker be a.
Let the cost of cookies be b.
Let the cost of candy bars be c.
From the question,
6a + 6b + 6c = $21
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
To solve this, we first pick any two pairs of equation. This will be:
6a + 6b + 6c = $21 ....... i
8a + 5b + 10c = $26 ....... ii
Multiply equation i by 8
Multiply equation ii by 6
48a + 48b + 48c = $168 ....... iii
48a + 30b + 60c = $156 ....... iv
Subtract equation iv from iii
18b - 12c = 12
We then pick another two pairs
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
Multiply equation i by 5
Multiply equation ii by 8
40a + 25b + 50c = $130
40a + 32b + 56c = $148
Subtract the equations
-7b - 6c = -18
Then, solve the new equations formed
18b - 12c = 12 ....... v
-7b - 6c = -18 ....... vi
Multiply equation i by -7
Multiply equation ii by 18
-126b + 84c = -84
-126b - 108c = -324
Subtract the equations
192c = 240
c = 240/129
c = $1.25
From equation v, put the value of c
18b - 12c = 12
18b - 12($1.25) = 12
18b - $15 = $12
18b = $27
b = $27/18
b = $1.5
Since,
6a + 6b + 6c = $21
6a + 6($1.5) + 6($1.25) = $21
6a + $9 + $7.5 = $21
6a + $16.5 = $21
6a = $21 - $16.5
6a = $4.5
a = $4.5/6
a = $0.75
One candy bar cost $1.25
The cost of one candy bar is $1.5 and this can be determined by forming the linear equation with the help of given data.
Given :
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars.A snack bag containing 6 of each type of snack costs $21.00. A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00. A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50.Form the linear equation in order to determine the cost of one candy bar. Let 'x' be the cost of crackers, 'y' be the cost of cookies, and 'z' be the cost of candy bars.
So, the linear equation that represents the situation "A snack bag containing 6 of each type of snack costs $21.00" is:
6x + 6y + 6z = 21 --- (1)
The linear equation that represents the situation "A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00" is:
8x + 5y + 10z = 26 --- (2)
The linear equation that represents the situation "A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50" is:
5x + 4y + 7z = 18.50 --- (3)
Simplify all three equations in order to determine the value of 'x', 'y', and 'z'.
z = $1.25
y = $1.5
x = $0.75
For more information, refer to the link given below:
https://brainly.com/question/11897796
How to find the missing numbers
Answer:
In order to find the missing number (X), you must first identify the pattern in the set of numbers. Upon a glance, you can determine that the pattern starts with 4 and then the next number is 2n+1, with n being the preceding number in the set.
Earnings Statement
Employee #: 12345
Income Rate Hours
Earnings $10 40
Taxes Withheld
Social Security Medicare Federal Income Tax State Income Tax
$25 $5 $40 $20
Employer Taxes Withheld
Unemployment Ins. Social Security Medicare
$10 $25 $5
Based on the pay stub above, what are the employee's net earnings?
a. $270
b. $310
c. $340
d. $360
e. $400
Question Help
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 20 min. If the current in
that part of the river is 4 km per hr, what was her boat speed in still water?
Her boat speed in still water was km per hr.
Answer:
The speed of the boat is 20 km/hr
Step-by-step explanation:
Let s be the speed of boat in still water
Let d be the distance
Upstream speed = s-4
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.
So, Distance traveled in upstream =[tex]Speed \times time =(s-4) \times \frac{30}{60}[/tex]
Downstream speed = s+4
So, Distance traveled in downstream = [tex]Speed \times time =(s+4) \times \frac{20}{60}[/tex]
So, [tex](s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}[/tex]
30s-120=20s+80
10s=200
s=20
Hence The speed of the boat is 20 km/hr
The monthly worldwide average number of air- plane crashes of commercial airlines is 3.5. What is the probability that there will be
(a) at least 2 such accidents in the next month?
(b) at most 1 accident in the next month?
Answer:
The probability that there will be
(a) at least 2 such accidents in the next month?
= 0.864
(b) at most 1 accident in the next month?
= 0.136
Step-by-step explanation:
This is a Poisson Distribution question.
The formula is given as:
For X = x ,
= λ^x × e^-λ/x!
The monthly worldwide average number of air- plane crashes of commercial airlines is 3.5. What is the probability that there will be
(a) at least 2 such accidents in the next month?
= λ^x × e^-λ/x!
λ = 3.5
x = at least 2 such accidents
x ≥ 2
= 1 - [P(x = 0) + P(x = 1)]
= 1 - [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]
= 1 - [ 1 × 0.0301973834 + 3.5 × 0.0301973834]
1 - [ 0.0301973834+ 0.105690842]
= 0.8641117746
≈ 0.864
(b) at most 1 accident in the next month?
= λ^x × e^-λ/x!
λ = 3.5
x = at most 1 such accidents
x ≤ 1
= [P(x = 0) + P(x = 1)]
= [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]
= [ (1 × 0.0301973834) + (3.5 × 0.0301973834)]
[ 0.0301973834+ 0.105690842]
= 0.1358882254
≈ 0.136
The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored
This question is incomplete
Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
The hospital has a ratio of 8 nursing assistants to 1 m
ny, there are 6 nurses working. How many nursing assis
working today?
Toni is shopping for clothes at the store she buys 8 shirts for $8.00 what is the unit rate for the shirts?
Answer:
$1.00
Step-by-step explanation:
The unit rate in this scenario would be $1.00 , meaning that Toni is paying $1.00 for every shirt. This can be calculated by dividing the total price that she is paying for the shirts by the total number of shirts that Toni is purchasing like so...
$8.00 / 8 = $1.00 per shirt
The unit rate is basically the value over the denominator of 1 which would be the case as seen above since $1 buys 1 shirt ([tex]\frac{1 dollar}{1 shirt}[/tex]) as opposed to $8 dollars 8 shirts ([tex]\frac{8 dollars}{8 shirts}[/tex]) as mentioned in the question.
what is the y intercept of a line that has a slope of -3 and passes through point 0.-7?
Answer:
-7
Step-by-step explanation:
(x,y) --> (0,-7) -7 is the y-intercept
Answer:the answer is -7
Step-by-step explanation:
My allowance has increased $13 a week and is now $42. What was my old allowance?
Answer:
29
Step-by-step explanation:
42-13=29
Kiran says “If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me, it’s the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means by this? Is he correct?
Answer:
Yes it is the same. Since the total distance left behind per time unit would be the same. Just that He would Do that by himself.
Answer:
yes
Step-by-step explanation:
6th grade math i mark as brainly
Answer:
A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.
HI! Please answer this question! I'll mark as brainliest for whoever gets it right!
Answer:
32
Step-by-step explanation:
to get the area of a parallelogram you just do base times height
H-4/x =y solve for x
Answer:
x - 1
Step-by-step explanation:
Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, so my friends won't amke fun of me
Answer:
If it counts as a question, lol sure, I'd love to help
You have a coupon for 30% off your dinner. Your total bill was $50. You also need to pay a 7% sales tax and leave a 22% tip. With the discount, tip + tax included, how much was your dinner?
Answer:
$49.50
Step-by-step explanation:
30% of $50 = $15.00
7% of $50 = $3.50
22% of $50 = $11.00
$50.00 - $15.00 = $35.00
$35.00 + $3.50 = $38.50
$38.50 + $11.00 = $49.50
How much was your dinner?
The total amount is $49.50, so only a total of 50 cents is being taken off from the whole payment of the dinner. (≧◡≦) (o´∀`o) (´• ω •`) (＾▽＾) (⌒ω⌒)
Sarah graphed the line that represents the equation y=−5x.
Which ordered pairs represent points on the line?
Select all that apply.
(6,−30)
(−2,−10)
(5,25)
(−3,15)
(1,−5)
Answer:
the ordered pairs which represent points on the line are
(6, -30) ⇒ A
(-3, 15) ⇒ D
(1, -5) ⇒ E
Step-by-step explanation:
To find the ordered pairs represents points on the line y = -5x, substitute x in the equation by the x-coordinate of each point if the value of y equals the y-coordinate of the point, then the point lies on the line
∵ y = -5x
∵ The ordered pair is (6, -30)
∴ x = 6 and y = -30
→ Substitute x in the equation by 6 to find y
∵ y = -5(6)
∴ y = -30
→ y has the same value of the y-coordinate of the point
∴ (6, -30) represents point on the line
∵ The ordered pair is (-2, -10)
∴ x = -2 and y = -10
→ Substitute x in the equation by -2 to find y
∵ y = -5(-2)
∴ y = 10
→ y does not have the same value of the y-coordinate of the point
∴ (-2, -10) does not represent a point on the line
∵ The ordered pair is (5, 25)
∴ x = 5 and y = 25
→ Substitute x in the equation by 5 to find y
∵ y = -5(5)
∴ y = -25
→ y does not have the same value of the y-coordinate of the point
∴ (5, 25) does not represent a point on the line
∵ The ordered pair is (-3, 15)
∴ x = -3 and y = 15
→ Substitute x in the equation by -3 to find y
∵ y = -5(-3)
∴ y = 15
→ y has the same value of the y-coordinate of the point
∴ (-3, 15) represents a point on the line
∵ The ordered pair is (1, -5)
∴ x = 1 and y = -5
→ Substitute x in the equation by 1 to find y
∵ y = -5(1)
∴ y = -5
→ y has the same value of the y-coordinate of the point
∴ (1, -5) represents a point on the line
Identify the focus, directrix, and axis of symmetry of x^2=64y
The general equation represented as: [tex]\mathbf{x^2 = 2py}[/tex]
The focus is [tex]\mathbf{F = (0,16)}[/tex]The directrix is [tex]\mathbf{y = -16}[/tex]The axis of symmetry is [tex]\mathbf{x = 0}[/tex]The equation is given as:
[tex]\mathbf{x^2 = 64y}[/tex]
Recall that:
[tex]\mathbf{x^2 = 2py}[/tex]
Where:
[tex]\mathbf{F = (0,\frac p2)}[/tex] --- the focus
[tex]\mathbf{y = -\frac p2}[/tex] --- the directrix
Compare [tex]\mathbf{x^2 = 2py}[/tex] and [tex]\mathbf{x^2 = 64y}[/tex], we have:
[tex]\mathbf{2py = 64y}[/tex]
Divide both sides by 2y
[tex]\mathbf{p = 32}[/tex]
Recall that:
[tex]\mathbf{F = (0,\frac p2)}[/tex] and [tex]\mathbf{y = -\frac p2}[/tex]
So, we have:
[tex]\mathbf{F = (0,\frac {32}2)}[/tex]
[tex]\mathbf{F = (0,16)}[/tex]
[tex]\mathbf{y = -\frac p2}[/tex]
[tex]\mathbf{y = -\frac{32}{2}}[/tex]
[tex]\mathbf{y = -16}[/tex]
The axis of symmetry is [tex]\mathbf{x = 0}[/tex]
Read more about equations of parabola at:
https://brainly.com/question/11911877
I need help please
Answer:
Step-by-step explanation:
7) ∠1 + 30 = 180 {linear pair}
∠1 = 180 - 30
∠1 = 150
8) ∠2 = 30 {Vertically opposite angles are congruent}
9) In ΔLMN,
∠L + ∠N + ∠M = 180 {angle sum property of triangle}
50 + 30 + ∠M = 180
80 + ∠M = 180
∠M = 180 - 80
∠M = 100°
10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.
∠B + ∠A = ∠BCD
30 + ∠A = 80
∠A = 80 - 30
∠A = 50
