In calm water, the motorboat of Jana is moving at the speed of 16.5km/h. On a river, because of the current, the boat moves faster down the river only by raising it. Jana went up the river in 5 hours and the decent in only 2 hours. What is the speed of the current?
Answer: 707 km/h
Step-by-step explanation:
let c = speed of current
16.5 + c = speed of sailboat downstream
16.5 - c = speed of sailboat upstream
distance = travel time * speed
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
2(16.5 + c) = 5(16.5 - c)
33 + 2c = 82.5 - 5c
7c = 49.5
c = 7.07 km/h
I finished all my other questions but i don't know how to do this one. could someone help me? I added 100 points. It is attached. :)
The answers are mentioned below.
What is Acceleration ?Acceleration is the change of speed with respect to time.
It is given that ,
The mass of the person is 50kg
Weight is 490 N
He has boarded an elevator with a bathroom scale.
1. The elevator is going down at constant speed , Force = 0N as acceleration is zero , The reading is 50kg.
2. The elevator is going up an slowing down . The magnitude of the acceleration is 4.9 m/sq.s , Force = mass * acceleration = 50 * 4.9 = 245N acting upward but the net force will be acting downward.
490 - 245 = 145N , reading 14.79 kg.
3.The elevator is free falling with an acceleration of 9.8m/sq.s force 0 N , as the gravitational force is pulling you down and the scale pushes up with the same force , Reading is 0 kg.
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Jaime adds equations A and B to solve this system of equations. Why is this method
generally valid for solving a system of equations?
The elimination method is valid for the system of equation because the y term cancels.
How to solve a system of equation using elimination method?The system of equation can be solved using elimination methods.
Therefore,
x - 2y = 3
3x + 2y = 17
Hence,
x + 3x = 4x
-2y + 2y = 0
3 + 17 = 20
Therefore,
4x = 20
The y term cancels. Therefore, we can solve for x and later solve for y.
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Answer:
Adding a quantity like x – 2y to one side of an equation and another quantity like 3 to the other side maintains the equality if the two quantities are equal.
Define the face value. Choose the correct answer below.
A. The simple interest rate that the issuer promises to pay.
B. The status of the secondary bond market.
C. The date on which the issuer promises to repay the money.
D. The price that must be paid to the issuer to buy it at the time it is issued.
Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.
What is face value?If the bond issuer doesn't default, face value, also known as par value, is the sum that is paid to a bondholder at the bond's maturity date. Bonds offered on the secondary market do, however, change in response to interest rates.
Therefore Option D is correct the face value is the price that must be paid to the issuer to buy it at the time it is issued.
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Consider the circle represented by this equation.
x² + 4x + y2 - 2y - 4 = 0
Which features are features of the circle?
Answer:
See below
Step-by-step explanation:
arrange to standard form (x-h)^2 + (y-k)^2 = r^2 h,k = center r = radius
x^2 - 4x + y^2 + 2y = 4 complete the square for 'x' and 'y'
(x-2)^2 - 4 + (y-1)^2 -1 = 4
(x-2)^2 + ( y-1)^2 = 4 + 4 + 1 = 9 '9' is equal to r^2 so r = 3
center = 2,1 radius = 3
Answer:
you're welcome!!!
Step-by-step explanation:
D is the midpoint of AB and E is the midpoint of BC. If AC=48, what is the length of DE ?
Answer:
24 is the answer for the following
Step-by-step explanation:
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Round 0.90 decimal to the nearest tenth
0.90 nearest tenth is 9 since there is no other number to help round it over.
PLEASE SOLVE THIS
Also I really don't want a long answer so you don't have to give me an explanation
Answer:
No
Step-by-step explanation:
To determine if a point is a solution to a system of equations, you need to determine if the point is a solution to both equations.
Is ( 2,10) a solution to -3x-4y = 4
Substitute into the equation and see if it is true
-3(2) -4(10) = 4
-6 -40 = 4
-46 =4
This is not true so it is not a solution
Answer:
No
Step-by-step explanation:
The solution(s) of a system is/are the point(s) (x, y) where the lines intersect.
The question asks if (2, 10) is a solution of the system. This means the "x" value is "2" and the "y" value is "10".
We can substitute those values into both of the equations.
[tex]-3x-4y=4\\-3(2)-4(10)=4\\-6-40=4\\-46=6 \Rightarrow Incorrect![/tex]
The "x" and "y" values must be true for both equations, therefore (2, 10) is not a solution of the system.
The editor of a school magazine polled randomly selected students in the 8th, 9th, and 10th grades. They were asked which activity they enjoyed the most: watching sports, reading, or listening to music. The two-way frequency table shows the data she collected.
(see attachment for table)
Based on the data in the table, what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?
A. 0.39
B. 0.37
C. 0.35
D. 0.33
Answer:
D 0.33
Step-by-step explanation:
based on the table you would just divide 13/39 which is 0.33
I hope i am right
Answer: 0.37
Step-by-step explanation:
Instead of doing 13/39 which is the total number of 9th graders. You have to do 13/35 (35= the total amount of kids who prefer watching sports) because it is saying "what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?"
What shift will occur to the graph given the following equation?
y≤ |x + 2|
Graph will shift 2 units to the left.
Graph will shift 2 units to the right.
Graph will shift 2 units down.
Graph will shift 2 units up
Answer:
Graph will shift 2 units to the left
WILL GIVE BRAINLIEST
Stephen is training for the upcoming sports season by running each morning. Below are the distances he ran this week. How far has Stephen run?
Distances (in km)
Monday 1.3
Tuesday 1.75
Wednesday 2.25
Thursday 2.5
Friday 3.0
A. 10.8 km
B. 9.5 km
C. 6.9 km
D. 11.6 km
Answer: A. 10.8 km
Step-by-step explanation:
add up all the days:
1.3 + 1.75 + 2.25 + 2.5 + 3 = 10.8 km
NOTE: I DO NOT NEED A LONG ANSWER
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
Scale factor is 3
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).
Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
Where is the fruit market?
6th Street and 11th Avenue
10th Street and 17th Avenue
9th Street and 15th Avenue
8th Street and 14th Avenue
Answer:
The Fruit market is at - 6th Street and 11th Avenue
Step-by-step explanation:
Distance is a numerical measurement of how far apart objects or points are. to find the distance between two points is the length of the line segment connecting them we use distance formula.
for example :-
if (x, y) and (p, q) are the two points joining the line segment then distance between them is given by the formula :-
[tex]\sqrt{(p- x)^2 + (q-y)^2}[/tex] this is known as the distance formula.
using the above formula :
distance between points (4, 8) and (12, 20) is:
[tex]\sqrt{(12-4)^2 + (20-8)^2}[/tex]
√(8² + 12²)
√208
14.42
Now the fruit market is Three-fourths the distance between Tia’s home to Lei's home.
therefore,
3/4×14.42 = 10.8
now we can check that option (A ) i.e. (6, 11) distance from lei home i.e. (12, 20) is equal to 10.8
hence the fruit market is at the = 6th Street and 11th Avenue
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Answer:
A
Step-by-step explanation:
What is true about △ABC? Select three options
AB ⊥ AC
The triangle is a right triangle.
The triangle is an isosceles triangle.
The triangle is an equilateral triangle.
BC ∥ AC
Answer: Isosceles triangle
Step-by-step explanation: Two of the base sides are equal distance away. (Sides AB and AC)
f(x)=x+2 g(x)=x-4
(f g)(x) =
O2x-2
O²-8
02-2x-8
Ọ x2+2x-8
Solve for (f g)(x)
Step-by-step explanation:
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The new function (fog)x will be x - 2.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To find (f g)(x), we need to evaluate f(g(x)).
First, we need to find g(x):
g(x) = x - 4
Next, we substitute g(x) into f(x):
f(g(x)) = f(x - 4)
Now we can simplify:
f(x - 4) = (x - 4) + 2
f(g(x)) = x - 2
Therefore, (f g)(x) = x - 2.
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use the graph below to answer this question: find the average rate of change for the given function from x=1 to x=2.
Answer: D. 2
Step-by-step explanation:
The question is asking for the rate of change from x=1 to x=2. Remember that the rate of change is also the slope, which can be seen as [tex]\frac{rise}{run} or \frac{y}{x}[/tex]. The rise would be going up/down the graph and the run would go left/right of the graph. Let's look at where x=1 and x=2 on the graph.
First, look at where the line falls between x=1 and x=2. Then, on where x=1, go up, then right on the graph, until you find the point where x=2. In this case, the rise over run is [tex]\frac{2}{1}[/tex]. This can be simplified to 2.
Therefore, the answer is 2.
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PLEASE HELP TIMED!!!
Which of the following describes the growth rate of the exponential function in the graph below?
a) For each x increase of 1, the y increases by a common difference of 3.
b) For each x increase of 1, the y increases by a common factor of 3.
c) For each x increase of 1, the y increases by 4 more than the previous increase.
d) For each c increase of 2, the y increases by doubling and then adding one.
Answer:
B
Step-by-step explanation:
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2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bought 8 boxes of oranges and 4 boxes cherries for $58. The system of equations ( shown in the pic i uploaded) can be used to represent this situation. A. Find how much does a box of oranges and a box of cherries cost ?
Answer:
Let the cost of orange be X and cost of cherry be y
3x + 9y = 78
8x + 4y = 58
Solving equation using elimination method
multiplying eq 1 with 8 and eq 2 with 3
8(3x + 9y ) = 78(8)
3( 8x + 4y) = 3(58)
24x + 72 y = 624
24x + 12y = 174
subtracting,
60 y = 450
y = 7.5
3x + 9(7.5) = 78
3x + 67.5 = 78
3x = 78 - 67.5
3x = 10.5
x = 3.5
Box of orange = $3.5 Box of cherry = $7.5
Here's a graph of a linear function. Write the
equation that describes that function.
bad
Express it in slope-intercept form.
The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]
As we can see in the graph the line goes from (-6, 0) and (0, 3)
Finding the slope:
[tex]\rm m =\dfrac{3-0}{0-(-6)}\\[/tex]
m = 3/6 = 1/2
y = mx + c
y = (1/2)x + c
c is the y-intercept
c = 3
The equation:
y = (1/2)x + 3
Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
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What is the method used when the objective is to determine the cause and effect relationship of a certain phenomenon under controlled condition?
Answer: A
Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition
Find the HCF of
x^2y and x
The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
Answer:
20%
Step-by-step explanation:
Half of 2 = 1
Half of 1.6 = 0.8
1 - 0.8 = 0.2
0.2 × 100 = 20%
Please help me out…
Polygon ____ and polygon ____ are similar to polygon 1.
Polygon 3 and 4 are similar to polygon 1.
Polygons will be called similar if they are exactly in the same shape, but can be in different sizes.
Here given, Some of the images are images of the polygon 1 from similarity transformations.
So we have to find the similar polygon from the given picture.
From picture it is clear that Polygon 2 is similar to polygon 1 as the size of polygon 2 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 as we can their corresponding angles are also equal.
Also, polygon 3 is similar to polygon 1 as the size of polygon 3 has been decreased from polygon 1 but the shape of polygon 2 is the same as polygon 1 and reversed of polygon 1. So polygon 3 is of the same orientation as polygon 1 as we can their corresponding angles are also equal.
So from above, it is clear that Polygon 1 is similar to polygon 3 and 4 as they have the same shape but different sizes.
Therefore Polygon 3 and Polygon 4 are similar to polygon 1.
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several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2 ,3 and so on .The people at positions 3 and 15 are directly opposite each other how many people are sitting at the table
12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.
The people at positions 3 and 15 are directly opposite each other.
Then the number of the people are sitting at the table will be
1 is opposite to 13
2 is opposite to 14
3 is opposite to 15
Similarly, 12 will be opposite to 24.
Then the number of the people are sitting at the table will be 24.
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Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))
Answer:
19-73 19-73 and the other half way back home from the
to ghana 5hjgf and to the 8
if you do all you'll get brainliest
Drive-In movie theatres are outdoor movie venues where people park facing a large screen and watch a movie from their own car. Daisy’s Drive-In charges $14.00 for a vehicle and an additional $4.00 per person in the car. Donald’s Drive-In charges $26.00 for a vehicle and an additional $2.00 per person in the car.
Write two equations that represent the 2 drive-in theatres.
Daisy’s Drive-In:
Donald’s Drive-In:
Graph the system of equations. Label the x and y axis and give the graph a title. Label each line.
What is the point of intersection on your graph? What does this mean in context of the problem? Answer in complete sentences.
Compare and contrast the theatre options. When will Daisy’s be a better deal? When will Donald’s be a better deal? Explain how you know. Answer in complete sentences.
which greek geometer founded a philosophical society that devoted itself to study of mathematics
Answer:
Pythagoras was the Greek geometer .
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The slope of the line below is -4. Which of the following is the point-slope
form of the line?
(2,-8)
Answer:
y+2= -4(x-8)
Step-by-step explanation:
need help asap willing to give a lot of points!
Answer:
[tex]\fbox {See below} \downarrow[/tex]
Step-by-step explanation:
Question 1
Part (a) :
⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ
⇒ 6⁷ = 6ˣ
⇒ x = 7
Part (b) :
⇒ y² = 169
⇒ √y² = √169
⇒ y = ± 13
⇒ y = 13, y = -13
Question 2
Part (a) :
⇒ (√5)² × (√3)²
⇒ 5 × 3
⇒ 15
Part (b) :
⇒ (∛9)³ × (√30)²
⇒ 9 × 30
⇒ 270
What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .
Answer:-1/4
Step-by-step explanation:
Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x
