The speed of Neegan paddles in still water will be 6 miles/Hr, while the rate of the current will be 1 mile/Hr.
Neegan paddles a kayak 21 miles upstream in 4.2 hours.
As he is moving in Upstream, so during returning the flow will be downstream
Downstream refers to the direction of the flow's termination, which is at the other end of the canal from the source. You are travelling upstream, for instance, if you are sailing from Kingston to Toronto. You are travelling downstream if you are moving from Kingston to Cornwall.
Let the speed of Neegan paddles in still water = x miles/Hr.
Let the rate of the current be = y miles/Hr.
As Speed = Distance/Time
So, for Upstream speed, Speed will be = x-y
For downstream, the speed will be = x+y
From question,
(x-y) = 21/4.2 = 5-----(i)
(x+y)= 21/3 = 7 -----(ii)
Solving (i) and (ii)
2x = 12
=> x = 6
So, the value of y (From (i), will be = (x-5) = 6-5 = 1
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9 is greater than or equal to -16
How to tell if a number is rational or irrational calculator?
We can tell if a number is rational or irrational by Venn Diagram
Both irrational and rational numbers are exact, yet they have different properties. Any number that can be expressed as P/Q, where P and Q are both integers and Q is more than zero, is considered to be reasonable. Simple fractions, however, cannot be used to express an irrational number. An illustration of a rational number is 2⅔ 3, while an irrational number is √2.
All integers, fractions, and repeating decimals are included in the concept of a rational number. We may represent every rational number as p/q, where p and q are integer numbers.
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Start with a circle whose equation is (x-a)^2 + (y-b)^2=r. Dilate that circle by a scale factor of 1/r with center of dilation (a,b). What does this transformation demonstrate
The dilation of the circle with a scale factor 1/r and center at (a,b) will transform the circle into a point at (a,b).
A dilation is a transformation that results in an image with the same shape as the original but a different size. • An enlargement is a dilation that produces a larger image. • A reduction is a dilation that produces a smaller image.
To solve this we will use the transformation formula for a dilation with center (a,b) and scale factor
k, (x,y) --> (a + k(x-a), b + k(y-b)).
Substituting in our values, we get
(x,y) --> (a + (1/r)(x-a), b + (1/r)(y-b)).
Setting this equal to (a,b), we get
(a + (1/r)(x-a) = a, b + (1/r)(y-b) = b).
Solving for x and y gives x = a and y = b. Therefore, the dilation of the circle with a scale factor of 1/r and center at (a,b) will transform the circle into a point at (a,b).
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A number, X, rounded to 1 decimal place is 3,7
Write down the error interval for x,
Answer:
The error interval for x is:
[3.65,3.74]
Step-by-step explanation:
The number after rounding off is obtained as:
3.7
We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:
3.65 3.66 3.67 3.68 3.69 3.70 3.71 3.72 3.73 3.74
( Because if we have to round off a number present in decimals to n place then if there is a number greater than or equal to 5 at n+1 place then it will result to the one higher digit at nth place on rounding off and won't change the digit if it less than 5 )
Hence, the error interval is:
[3.65,3.74]
find the equation of a line perpendicular to 2y=6-2x that passes through point (6,-7)
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]2y=6-2x\implies 2y=-2x+6\implies y=\cfrac{-2x+6}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -1 \implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1} \implies 1}}[/tex]
so we're really looking for the equation of a line whose slope is 1 and it passes through (6 , -7)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{ 1}(x-\stackrel{x_1}{6}) \implies y +7= 1 (x -6) \\\\\\ y+7=x-6\implies {\Large \begin{array}{llll} y=x-13 \end{array}}[/tex]
pls help this is kinda hard and it’s due in 45 minutes
Answer:
16.8 inches
Step-by-step explanation:
Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8
Answer and Step-by-step explanation:
First, write down what we know.
Length of Rectangle = [tex]5\frac{3}{5}[/tex]
Width = [tex]\frac{Length}{2}[/tex]
2 ways to solve this:
1st way:
If we convert the fraction into a decimal, then we can easily find the width.
[tex]5\frac{3}{5}[/tex] can be solved by making the mixed number into a improper fraction.
Multiply the denominator (5) by the whole number (5), then add the numerator (3). This number is 28. Replace the 3 with the 28, and now we have [tex]\frac{28}{5}[/tex]. This number is equal to 5.6.
Now, we have to divide this number.
5.6 divided by 2 is equal to 2.8.
So, the width is equal to 2.8.
Now, we add the width and length together twice to get the perimeter of the rectangle.
2.8 + 2.8 + 5.6 + 5.6 = 16.8
So, the answer is A. 16.8 inches.
2nd way:
Since we know that the width is half of the length, we can just add the length by itself 3 times, since two of the widths combined will equal the length.
5.6 + 5.6 + 5.6 = 16.8
So, the answer is A. 16.8 inches.
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Teresa earns $6.25 per hour.calculate her wage for the week
Answer$250
Step-by-step explanation:
6.25 x 8 = 50 x 5 = 250
Answer:
$1,050
Step-by-step explanation:
6.25 x 24 x 7 = $1,050
6.25 x 24 represents the amount per hour multiplied by a days total hour (24) which is then multiplied by 7 to represent a week.... which equals $1,050
Rafael and his sister bought snacks at a discount store for movie night. Rafael got 3 boxed candies and 1 bag of chips for $3. 82. His sister got 2 bags of chips and 1 boxed candy for $2. 69. Find the cents for each item find the cost of each item
The cost of each box of candy is 31 cents and the cost of each bag of chips is 69 cents.
To find the cost of each box of candy, we first need to find the total cost for all items. We know that Rafael and his sister spent a total of $3.82 + $2.69 = $6.51 on snacks. Since Rafael bought 3 boxes of candy and 1 bag of chips, and his sister bought 2 bags of chips and 1 box of candy, there were a total of 3 + 2 = 5 bags of chips and 3 + 1 = 4 boxes of candy bought.
To find the cost of each box of candy, we divide the total cost for all boxes of candy by the number of boxes of candy: $6.51 / 4 = $1.63 or 163 cents. To find the cost of each bag of chips, we divide the total cost for all bags of chips by the number of bags of chips: $6.51 / 5 = $1.30 or 130 cents.
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14 A runner jogs 9 miles north and then 6 miles east. What is the shortest distance, to the nearest tenth of a mile, the runner must travel to return to their starting point?
Mrs. Smith calls customer care after she receives her phone bill. Her bill is normally $40. 00 per
month, however, this month it is $110. 0. Mrs. Smith negotiates a 50% credit of the difference
between the normal charge of $40. 00 and the current balance of $110. 0. How much will Mrs.
Smith be responsible for paying?
Mrs. Smith will be responsible for paying $75.00
The normal monthly charge is $40.00 and the current balance is $110.00,
so the difference is $110.00 - $40.00 = $70.00.
Mrs. Smith negotiated a 50% credit, so she will receive
$70.00 x 0.50 = $35.00 credit.
To find the amount she is responsible for paying, we subtract the credit from the current balance
$110.00 - $35.00 = $75.00
Thus, the amount Mrs. Smith will be responsible for paying is $75.00
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Which of the following have one solution, solve for brainly :P
Answer:
C only
Step-by-step explanation:
C is the only one which is correct as in all the other options x is cancelled out as both sides have 2x which gets cancelled leaving the equation with something like:
31=31 which is true but it's not considered a "solution" and as A, B and D end up with stuff like this they are all not 1 solution. For c, as c doesn't have a power on top of it, like [tex]x^{2}[/tex] does, its equation can only have 1 solution (or in some cases 0 solutions but this isn't one of them) so it is the correct answer.
A. all real numbers
B. x = 0
C. all real numbers
D. no solutions
the explanation is in imagine
I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
81/100 is the answer I believe if I'm wrong my bad
Answer:
81/100
Step-by-step explanation:
brainliest pls
Hello what x of a triangle
Solving for X in a Right Triangle
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
Find the sum of the following series:
Answer:
The sum is 2635
Step-by-step explanation:
I did this problem
if sin theta = 4/5 and theta is in quadrant 2, the value of cot theta is
Answer:
Cot(theta) = - 0.75 or -3/4
Step-by-step explanation:
The hypotenuse is 5
The y value is 4
We need to find the corresponding x value.
x^2 + y^2 = z^2
X = ?
y = 4
z = 5
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
Now in this case, you are in quadrant 2, so the x value is - 3
sqrt(x^2) = sqrt(9)
x = - 3
The cot value is the adjacent (x value) / the opposite ( y ) value
Cot(theta) = -3/4
cot(theta) = -0.75
Answer:
cotθ = -3/4
Step-by-step explanation:
Given:
sinθ = 4/5
θ is in Quadrant II, so cosθ < 0
Recall:
cotθ = cosθ/sinθ
cos²θ + sin²θ = 1
Determine cosθ:
cosθ = -√(1-sin²θ) = -√(1-(4/5)²) = -√(1-16/25) = -√(9/25) = -3/5
Determine cotθ:
cotθ = cosθ/sinθ = (-3/5)/(4/5) = (-3/5)(5/4) = -15/20 = -3/4
Simplify the expression: 4.9x - 5 - 5.6x - 6 + 4.6g
Answer:
= -0.7x-11+4.6g
Step-by-step explanation:
hope this helps :)
Answer:
−0.7x − 11 + 4.6g
Step-by-step explanation:
Mark as Brainllest
4 Amanda's bedroom is a rectangle 415 cm long by 295 cm wide.
a work out the area of Amanda's bedroom. Give your answer in square metres (m?).
Show how to use estimation to check your answer.
Carpet costs $24 per square metre.
It is sold in whole numbers of square metres.
b How much will it cost Amanda to buy carpet for her bedroom floor?
Show how to use inverse operations to check your answer.
Answer:
1) 12.2425 square meters
2)$288
Step-by-step explanation:
According to the problem, we have a rectangle bedroom with 415cm long by 295cm width.
We know that 1cm = 0.01 m
Length of bedroom: 415 x 0.01 = 4.15m
of bedroom: 295 x 0.01 = 2.95m
area of rectangle: Length x Width
Area: 4.15 x 2.95 = 12.2425 square meters
We have a cost of carpet 24 per square meter is given from the problem.
we now know that it is in a whole number so we divide by 2 to get it square
A= 12m (squared)
now we multiply 12 and 24
we get $288
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Rich added 26.2 milliliters of water to a solution in science class. The directions said to add 22.6 milliliters of water. What was the percent error (to the nearest hundredth percent) in the amount of water Rich added
The percent error in the amount of water Rich added is 15.93%.
What is meant by percentage error?When compared to the actual value, the percent error is the difference between the estimated and actual values.
The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the percent error. In other words, the relative error times 100 equals the percent error.
Given that Rich added water to a solution in science class is 26.2 milliliters
Whereas the directions said to add water is 22.6 milliliters
The amount of water that is added more is 26.2 -22.6 = 3.6 milliliters
The percent error is = (3.6/22.6)*100%
The percent error is = 15.9292*100%
Therefore, the correct answer is option b) 15.93%.
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Tell whether f(x)=−5x^2+10x+7 has a minimum value or a maximum value.
Answer:
has a maximum value
Step-by-step explanation:
.............
Answer:
maximum value
Step-by-step explanation:
What it means when a function and its inverse is the same?
Step-by-step explanation:
it means that the graph of the function above y=x must be the mirrored image of the graph under y=x.
it means that the function applied to itself gives x.
f(f(x)) = x
e.g.
f(x) = 5 - x
f(f(x)) = 5 - (5 - x) = 5 - 5 + x = x
so, this f(x) is its own inverse.
What does -1 - 13b + 10 + 10b equal?
Answer:
=9-3b
Step-by-step explanation:
i hope this helps :)
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear.
Time (min), x Distance (m), y
5 1,930
10 1,380
15 830
20 280
The equation of the function in the form y=mx+b is y = 110x-2020
Adaptation of function speed
A line's equation is written as mx + b = y, where m denotes the rate of change or slope.
The intercept is B.
utilizing the coordinates
Calculate the slope.
m = 550/5
m = 110
The intercept for
280 + 110(20) + b
280 = 2200 + b
b = 180 - 2200
b = -2020
The equation for the function of the type y=mx+b is hence y = 110x-2020.
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The complete question would be:
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b
Someone please help me and show how you did it (you can use app that solves it I just need the answer and how it got the answer)
Answer:
Step-by-step explanation:
5. P-4=-4
P-4+4=-4+4=0
P=0
A rental car company charges $50 per day to rent a car and $0.15 for every mile driven. Mei Mei wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $130 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Mei Mei can afford to rent while staying within her budget.
Answer:
50x + 19.5 ≤ 130
Step-by-step explanation:
X is the number of days Mei Mei plans to rent the car
For driving 100 miles, Mei Mei will be charged $19.50. [130 times 0.15]
Mei Mei has a maximum budget of $130, so the inequality will have a less than or equal to sign
50x + 19.5 ≤ 130
Describe the likehood of the event given its probability .you make a free throw 70 percent of the time
IMPOSSIBLE
LIKLEY
POSSIBLE
Answer:
possible
Step-by-step explanation:
the question asks what is the likelyhood of making a free throw 70% of the time, whcih is possible beacuase you can make it, you can also miss it. there are several professional basketball players that have that percentage. but it is not likely that someone could just shoot 70 percent. so i would stick with possible
Find the 10th term of the geometric sequence 3, 15, 75, ...
Answer:
5,859,375
Step-by-step explanation:
a10 = 3×5^9 = 3×1,953,125
= 5,859,375
Answer:
5,859,375
Step-by-step explanation:
Given :-
A geometric sequence is given to us which is 3 , 15 , 75 .And we need to find out the 10th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
Common Ratio :-
[tex]:\implies[/tex] CR = 15 ÷ 3 = 5
The 10 th term :-
[tex]:\implies[/tex] T_n = arⁿ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5 ¹⁰ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5⁹
[tex]:\implies[/tex] T_10 = 3 × 1953125
[tex]:\implies[/tex] T_10 = 5859375
Hence the 10th term is 5,859,375
A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?
Answer:
a. The total cost of fixing the drain is $198
b. The plumber spend 13 hours fixing the drain
Step-by-step explanation:
We know the equation is
C=25h+73
C = the total cost
h = the number of hours
Let's solve question a by putting 5 in for h
C=25(5)+73
C = 125 + 73
C = $198
So, the total cost of fixing the drain is $198
Let's solve question b by butting 398 in for c
398=25h+73
325 = 25h
h = 13 hours
So, the plumber spend 13 hours fixing the drain
If you can, please give me a Brainliest; thank you!
If initial population of any place is Po,
population after T years is Pr and annual rate of
population growth is 2% per annum then
express P in terms of Po, T and Q.
Answer:
please join my meeting
Find the measure of angle 1
A. 90 degrees
B. 30 degrees
C. 120 degrees
D. 60 degrees
Answer:
120
Step-by-step explanation:
So there are two ways of doing this.
The easiest, we know that the biggest of 30, 60 and 90 degrees is 90.
We know that a right angle is 90 degrees.
The 1 angle is clearly bigger than 90 degrees.
So it must be 120.
The actual way of solving:
The mini trinalge that has the 90 degree angle in it is a 30, 60, 90 trinalge.
We know that the 3 is the 30 degree angle on the trinalge.
We know that the angle on the opposite side of the dotted line must be 30 as well.
Since thats 30, the opposite side of the dotted part of thr traingle must be 30 as well.
This means that the other two angles are 60 which you subtract from 180
This leaves 120
So 120 degree angle is the answer
Sorry if this is confusing I hope this helps!
The ratio of the areas of two rectangles is 2 to 3. If the area of the larger rectangle is 600 square feet, what is the area of the smaller rectangle?
Answer:
400sq.ft
Step-by-step explanation:
Let Area of smaller rectangle be x
➝2:3=x:600
➝2/3=x/600
➝2×600=3x
➝3x=1200
➝x=1200/3
➝x=400sq.ft