Answer:
1 mile every 57 seconds I belive
Step-by-step explanation:
Given the point with Cartesian coordinates, (3√3,−3), find the polar coordinates of the point.
Answer: (6,11π/6).
Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so
because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.
So the final answer is (6,11π6).
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
sin( 3pi/4 ) =
O A. 1/2
OB. -√2/2
O C. √3/2
O D. √2/2
Answer:
sin( 3pi/4 ) = -√2/2
So, B.
Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the weights of each of the girls in kilograms (2.2 pounds = 1 kilogram) then the confidence interval for the mean weight of high school girls in kilograms would have been
Answer:
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Step-by-step explanation:
To find the interval, we can just make the conversion of the values from pounds to kilograms.
Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.
Confidence interval: (102.3 pounds, 106.5 pounds).
102.3 pounds = 102.3/2.2 = 46.5 kilograms
106.5 pounds = 106.5/2.2 = 48.41 kilograms
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Mariana and her best friend are attending a concert in a large auditorium. They just climbed up 125 steps. The number of steps they climbed can be represented by
zero
positive
negative
The number of steps they climbed can be represented by positive
How to represent the number of steps?From the question, we understand that they climbed up
Upward movements are usually represented by the positive sign
This means that:
Steps = 125 or +125
Hence, the number of steps they climbed can be represented by positive
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Please help! I forgot to study..
Answer:
mean: $13.50
median: $11
mode: $10
range: $26
hope this helps:)
Answer:
The mean is 13.5, median is 11, mode is 10, and for the range, it's 26
Step-by-step explanation:
For the mean, you add all the numbers up 4+30+10+12+10+20+12+10 = 108. Then you divide by how many terms there are which is 8 and then you get 13.5.
The median is the middle value in a list ordered from smallest to largest. So that is why you get 11.
The mode is the most frequently occurring value on the list and we can tell that 10 is the most occuring in this list.
Finally we have the range. To find the range you subtract the highest amount to the lowest amount. 30 - 4 = 26.
if y= x+3/6-x, what is the value of y when x =7i?
Watch help video
Given circle E with diameter CD and radius EA. AB is tangent to E at A. If
EC = 3 and EA = 3, solve for AC. Round your answer to the nearest tenth if
necessary. If the answer cannot be determined, click "Cannot be determined."
C
A
B
The circle E with diameter CD and radius EA having the length of AC is approximately 4.2 units.
What is Pythagoras' Theorem?
In a right-angled triangle, the square of the hypotenuse side equals the sum of the squares of the other two sides.
Since EA is a radius of circle E, and AB is tangent to E at A, we know that AB is perpendicular to EA. Thus, triangle EAB is a right triangle.
Let x be the length of AC. Then, by the Pythagorean Theorem in triangle EAC, we have:
\(AC^{2} = EA^{2} +EC^{2}\)
\(AC^{2} = 3^{2} + 3^{2}\)
\(AC^{2} = 18\)
AC ≈ 4.2 (rounded to the nearest tenth)
Therefore, the length of AC is approximately 4.2 units.
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Miklós is filling a questionnaire online. In the diagram, the grey colour indicates the proportion of questions he has already completed.
How many questions are left if he has answered 16 questions so far?
image of the questionnaire attached
Answer:
e=123444565666 i hope it helps :}}
Step-by-step explanation:
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
62 + 35 = -62 + 35
B
62 + 35 = -62 – 35
- 6x + 35 = -62 – 35
-6x + 35 = -6.0 + 35
4 of 9
Answer:
none of em. Cause they either need to have the same number on each side, or like for example the variables and coefficient need to be same like 6x = 6x. but none of em seem to match. You probably didnt write it correctly
divide the polynomials x^2-10,000/x-100
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
I need help asap, giving 30 points and brainiest!
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)
graph the line y=3x y. 8 6 4 2 the top and x right side 8 4 6 8 and the left is -8 -6 -4 -2 and the bottom is -8 -6 -4 -2
solution
x y
-8 -24
-6 -18
-4 -12
-2 -6
2 6
4 12
6 18
8 24
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
1) Suppose 10 people run a race. How many ways can they be awarded first through sixth place?
151200
60
144
210
2) Suppose 10 people volunteer to help clean up the school, but you only need 6 of them. How many ways can you choose the 6?
151200
60
144
210
The number of ways for the first case will be 151,200. Then option A is correct. And the number of ways for another case will be 210. Then option D is correct.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
Suppose 10 people run a race. Then the number of ways that they can be awarded first through the sixth place will be given as,
¹⁰P₆ = 10! / (10 - 6)!
¹⁰P₆ = 10 x 9 x 8 x 7 x 6 x 5 x 4! / 4!
¹⁰P₆ = 151,200
Suppose 10 people volunteer to help clean up the school, but you only need 6 of them. Then the number of ways is given as,
¹⁰C₆ = (10!) / [(10 - 6)! x 6!]
¹⁰C₆ = (10 x 9 x 8 x 7 x 6!) / (4 x 3 x 2 x 1 x 6!)
¹⁰C₆ = 210
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Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
For such more questions on conditions
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On a map, 1 cm = 5 km. The distance between the shopping mall and the movie theater measures 6.7 cm. What is the actual distance between the mall and movie theater?
Answer:
33.5 km
Step-by-step explanation:
If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.
(hope this helps :P)
Answer:
33.5 km
Step-by-step explanation:
1/5 = 6.7/x
cross multiply and solve
5 × 6.7 = 33.5
Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
he diameter of the ball bearings varies according to a distribution that is approximately Normal
mean 11.5 mm and standard deviation 0.05 mm
the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm
Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
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1. A square piece of carpet has sides that are 5 feet long. What is the carpet's perimeter?
Answer:
25
Step-by-step explanation:
5 times 5
The top of the cliff is 142 m above sea level. Currently the boat is 100 metres from the buoy and the angle of depression from the top of the cliff to the boat is 64º. Find the distance from the top of the cliff to the buoy. diagram not to scale Top of cliff 142 boat buoy Base of cliff (sea level) 100 m. The distance from the top of the cliff to the buoy is type your answer...
Answer:
221.0 m
Step-by-step explanation:
First, find x using trigonometric ratio formula:
Reference angle = angle of depression = angle of elevation = 64°
Opposite side length = 142 m
Adjacent side length = x
Thus:
tan(64) = 142/x
x*tan(64) = 142
x = 142/tan(64)
x = 69.3 (nearest tenth)
Next, find distance from top of the hill to the buoy using Pythagorean Theorem.
Let the distance be y.
We would have:
y² = 142² + (69.3 + 100)²
y² = 20,164 + 28,662.49
y² = 48,826.49
y = √48,826.49
y = 221.0 m (nearest tenth)
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
What is the equation of the line (-1,-4) (1,0)
Answer:
what do you mean by equation
Step-by-step explanation:
i was able to get you the slope form of it if thats okay
y=2x-2 in order to find the slope use the pdf i attached it should provide an example
Solve equation by using the quadratic formula.
Answer:
Step-by-step explanation:
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer 95 in college
Step-by-step explanation:
3. Jean purchased 6 yards of felt to make banners. Each banner requires 1 1/2 yards. How many
banners can she make?
A. 2
B. 4
C. 6
D. 9
B.
Explanation:
1.5+1.5=3+1.5= 4.5+1.5= 6
(How much 1.5 is there?) (1.5=1 1/2 btw)
18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.
Answer: B
Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.
A birthday celebration meal is $47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.
th
The total cost is $
Answer:
$54.51
Step-by-step explanation:
Pls help me I’ll give brainliest
Answer:
-2.7<4.5
Step-by-step explanation:
12/19/04
Sales
$96.88
$80.51
$490.94
$60.67
$90.59
$429.21
$70.11
$99.44
$417.53
Credits
$80.73
$91.56
$223.02
$394.88
6) Find the amount of the bank charge on the sales / credit record for 12/19/04 if the
fee paid by the business is 6.50%
$2.568, cents:5058
Step-by-step explanation:
maybe...