A ferry transports passengers to three different ports. From port 1, the ferry travels east 3.5 miles to port 2. The ship
then heads 15 east of south for 6 miles to reach port 3. What is the distance from port 3 to port 1? Draw a diagram to
help you. Approximate to the nearest tenth of a mile.
miles
Answer:
7.7
Step-by-step explanation:
trust me, I solved it out
Answer: The distance between port 3 to port 1 is 7.7 miles.
A rough sketch is attached.
The angle between 3.5 and 6 is = (90 + 15) = 105 degrees.
We will need the law of cosine.
So the distance between port 3 to port 1 is:
[tex]\sqrt{3.5^{2}+6^{2}-2\left(3.5\right)\left(6\right)\cos\left(105\right)}=7.68897911912=7.7[/tex].
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Evaluate f(2) for the function f(x) = 3x2 + 2x - 5
Answer:
The answer for f(2) is 11.
Step-by-step explanation:
f(x) = 3x2 + 2x - 5
f(2) = 3(2)2 + 2(2) - 5
f(2) = 6(2) + 4 - 5
f(2) = 12 + 4 - 5
f(2) = 16 - 5
f(2) = 11
The value of f(2) is 11 and this can be determined by using the arithmetic operations and the given data.
Given :
[tex]\rm f(x) = 3x^2+2x-5[/tex]
The following steps can be used in order to determine the value of f(2):
Step 1 - Write the given function.
[tex]\rm f(x) = 3x^2+2x-5[/tex]
Step 2 - The arithmetic operations can be used in order to determine the value of f(2).
Step 3 - Now, substitute the value of (x = 2) in the given function.
[tex]\rm f(2) = 3(2)^2+2(2)-5[/tex]
Step 4 - Simplify the above expression.
[tex]\rm f(2) = 3\times 4+4-5[/tex]
f(2) = 12 - 1
f(2) = 11
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x-8/2=4 please help me asap this assignment is due in and hour! and please teach me how to do it! 10 points!!
Answer:
x = 8
Step-by-step explanation:
x - 8/2 = 4
Follow your order of operations and divide first.
8/2 is 4
x- 4 = 4
Next, isolate the variable by using the additive property of equality.
x - 4 + 4 = 4 + 4
x = 8
Answer:
ok so u do the opposite of 8/2 so do 8*2 which is 16 then add the answer which is 4 which equals 20 so 20- 8/2=4, 20-16=4
HELP ME PLEASE I NEED THE ANSWER
1. Jason, Patti, and Quincy were running around the track during their P.E. class. If each runner ran at a
constant rate of speed, draw a graph to represent each runner's speed in meters per minute. Label
each line with the runner's name.
Running Time
• Patti ran at a rate of 300 meters every 60 seconds.
• Jason ran at a rate of 500 meters per 1.25 minutes.
Quincy ran 600 meters in 2 minutes and 30 seconds.
230
800F
700H
600
5001
at
Distance (meters)
4001
3001
2001
1001
3.75
0.75 1.5 2.25
Time (minutes)
0.15
Fill in the table for each person's time at various distances.
Jason's Time
(minutes)
0
Quincy's Time
(minutes)
0
Patti's Time Distance
(minutes) (meters)
0
0
150
300
450
600
Distance
(meters)
0
200
300
400
500
Distance
(meters)
0
240
360
480
600
1.25
2.5
Who ran the fastest? Explain how this is shown on the graph and in the tables?
Answer:
1) Please find attached the distance and speed time graphs
2) Please find attached the distance time tables
3) The fastest runner is Jason, as shown by the topmost line in the graphs
4) On the tables Jason is seen to have covered 400 meters in one minute, while Patti covered 300 meters and Quincy covered in the same one minute time interval
Step-by-step explanation:
The given speed of the runners are;
The rate at which Patti ran = 300 meters in 60 seconds
The rate at which Jason ran = 500 meters in 1.25 minutes
The rate at which Quincy ran = 600 meters in 2 minutes and 30 seconds
The formula for speed is given as follows;
Speed = Distance ran/(Time to cover the distance)
Therefore, the speed of each of the runners are;
Patti's speed = 300 m/(60 seconds) = 300 m/(1 minute) = 300 m/min
Jason's speed = 500 m/(1.25 minute) = 400 m/min
Quincy's speed = 600 m/(2 minutes and 30 seconds) = 600 m/(2.5 minutes)
∴ Quincy's speed = 240 m/min
Therefore, we have
1) The distance and speed time graphs are attached
2) The distance time tables are attached
3) The fastest runner is Jason, as shown by the topmost line in the graphs
4) The fastest runner is Jason as seen by the covered distance of 400 meters in one minute.
if the width is 8 less than the length of a rectangle and the perimeter is 48 find the width
Answer:
Widyh = 8 units
Step-by-step explanation:
Perimeter = 2/width+length)
then:
48 = 2(W+L)
W = L-8
W = Width
L = Length
then:
48 = 2((L-8)+L)
48 = 2(2L88)
48 = 2*2L - 2*8
48 = 4L - 16
48 + 16 = 4L
64 = 4L
L = 64/4
L = 16
W = L-8
W = 16-8
W = 8
Check:
48 = 2(16+8)
48 = 2*24
What is the image point of (6,1) after a translation left 5 units and down 1 unit?
Answer:
(1, 0 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the x- coordinate
A translation of 1 unit down means subtract 1 from the y- coordinate, thus
(6, 1 ) → (6 - 5, 1 - 1 ) → (1, 0 )
(9b−1)(9b+1) Me pueden ayudarme con esta otra pregunta Please.
Answer:
Using identify (a+b)(a-b) =a²-b²
Ur answer is (9b-1)(9b+1) =81b²-1
which of the following appear in the diagram below?
check all that apply.
Answer:
A
Step-by-step explanation:
Nora took 10 bottles of water to a picnic. Of these bottles of water, she and her friends opened a certain number of bottles, b. What expression can be used to determine the number of unopened bottles at the end of the picnic?
Answer:
10 - B = U
Step-by-step explanation:
U stands for the unopened bottles
for example if they opened 3 bottles it would be 10 - 3 = U (unopened bottles)
The value of U is 7 because the 10 bottles of water minus the 3 bottles they opened it would equal 7.
therefore the equation 10 - B = U shows the amount of unopened bottles
Find the value of each variable in the parallelogram.
Answer:
w = 2, z = 7
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
85,58, 72, 85, 46,93
Mean :
Median :
Mode :
Range :
Answer:
mean:Total of all numbers divided by the amount of numbers 439/6=73.2
median:72+85=157/2=78.5
mode:85 most frequent figure
Range: difference between the largest number and lowest number
93-46=47
One set of markers costs x dollars. How much would 5 sets of markers cost? No need to show work
Answer:
5x dollars
Step-by-step explanation:
Five sets at x dollars per set would be 5x dollars.
Answer:
5x
Step-by-step explanation:
Multiply the cost of one set of markers by 5
5x
Which statements are true? Select 3 options
what is a - 6 = 13 (solve the equation, check your solution)
Answer:
A=19
Step-by-step explanation:
Add 6 to both sides
Answer:
a = 19
Step-by-step explanation:
a - 6 = 13
+6 +6
a = 19
Checked: 19 - 6 = 13
carries family broke a package of graham crackers into 32 pieces. carries two brothers each ate 1/8 of the pieces and the rest of the family ate 7/16 of the pieces.
carries two brothers each ate ____ pieces
the rest of carries family ate ____ pieces
there were ____ pieces remaining
Answer:
Carrie's two brothers each ate 4 pieces, and the rest of the family ate 14 pieces, there were 10 pieces left.
Step-by-step explanation:
First, change all of the fraction's denominators into 32:
1/8 = 4/32
7/16 = 14/32
This gives us the answer to the first two questions.
Then add up the amount of pieces each person ate. Carrie has two brothers, so we double 4/32, which gives us 8/32. 8/32 + 14/32 = 22/32.
32 - 22 = 10, so there are 10 pieces remaining.
Hope this helps!
Answer:
Carries two brothers ate 4 pieces.
The rest of Carries family ate 14 pieces.
There were 14 pieces remaining.
Step-by-step explanation:
To find out how much the brothers ate you can divide 32 by 8 to get 4. For the family you can turn 7/16 into 32nds
16 x 2 = 32 and 7 x 2 = 14
so the family ate 14 pieces. Add 14 + 4= 18 so that's how much they all ate in total then 32-18 = 14. That means 14 pieces are left.
Hope that helps and have a great day!
write a word problem for this equation $2 x n = $18
Answer:
If You have $18, how many $2 items can you purchase?
can anyone plz help me plz
The constant of proportionality is the slope of the line.
The slope is the change in y over the change in x
Using two pints on the line:
Slope = (3-0) / (1-0) = 3/1 = 3
The answer is 3
[18+ 3(28 -19)] - 4 x 5 =
Answer:
25
Step-by-step explanation:
(18+3 x 9 ) – 20
(18+27) – 20
45 – 20
= 25
Answer: 25
Step-by-step explanation:
[18+ 3(28 -19)] - 4 x 5 =
(P E M D A S) parenthesis, exponents, multiplication, division, addition, subtraction
3 x 28 = 84
3 x 19 = 57
84 - 57 = 27
[18 + 27] - 4 x 5 =
45 - 4 x 5 =
4 x 5 = 20
45 - 20 = 25
Write 90,523 in expanded form.
What are the steps to answer 6x-2=-4x+2
Answer: [tex]x=2/5[/tex] or [tex]x=0.4[/tex]
Simplify the equation to the form
[tex]6x-2=-4x+2[/tex]
Move all terms containing x to the left and all other terms to the right
[tex]6x+4x=+2+2[/tex]
Simplify left and right side of the equation
[tex]10x=+4[/tex]
Divide both sides of the equation by 10 to get x
[tex]10x/10=4/10[/tex]
[tex]x=2/5[/tex] or [tex]x=0.4[/tex]
Which value is the LARGEST?
a. 0.65
b. 33%
3
C.
5
d. 0.75
Answer:
d. 0.75 (assuming that choice c. is 3/5)
Step-by-step explanation:
Is C. 3/5? I'm assuming it is.
Write all numbers as decimals to make it easier to compare them.
a. 0.65 = 0.65
b. 33% = 0.33
c. 3/5 = 0.6
d. 0.75 = 0.75
Now that all numbers are written as decimals, we see that the greatest of them is 0.75
Answer: d. 0.75 (assuming that choice c. is 3/5)
Step-by-step explanation:
It's C I mean number 5 because the other ones are below 1 and 5 is greater than 1
100 trout are seeded into a lake. Absent constraint, their population will grow by 70% a year. The lake can sustain a maximum of 2000 trout. How many trout will be in the lake after 2 years.
After 2 years, the population of trout in the lake will be 2000 trout.
Given:
Initial population = 100
Growth rate = 70%
Time= 2 years
After the first year:
Population after 1 year = Initial population + (70% of the initial population)
= 100 + (0.7 * 100)
= 100 + 70
= 170 trout
After the second year:
Population after 2 years = Population after 1 year + (70% of the population after 1 year)
= 170 + (0.7 * 170)
= 170 + 119
= 289 trout
Since the calculated population exceeds this limit, the population will be limited to the maximum capacity of 2000 trout.
Therefore, the population of trout in the lake will be 2000 trout.
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Wha is 4/5 = 28/x oh and 2 ways I can writ it
Answer:
x = 35
Step-by-step explanation:
what property is this? (−6.8+(−5.1))+6.2=(−5.1+(−6.8))+6.2
Answer:
commutative property
Step-by-step explanation:
An _____________is an approximate number or answer
Answer:
≈ or estimate
Step-by-step explanation:
Answer:
average
Step-by-step explanation:
Calculate 12 x 15 by changing the numbers into friendlier numbers as we saw in the videos. Show how you work it out – write out your methods using the number keys on your computer here: Please write your response.
Answer:
The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180
Step-by-step explanation:
The parameter given are;
To 12 × 15 by changing the numbers into friendlier numbers
The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;
12 × 15 = (10 + 2) × (10 + 5)
Which gives;
(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5
From which we have;
10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180
Therefore;
12 × 15 = 180.
Solve the inequality for w.
-5w>20
Simplify your answer as much as possible.
Answer:
Step-by-step explanation:
-5w > 20
w < -4
Which statement is true? Question 3 options: A) – |13| = 13 B) |13| = – 13 C) – |–13| = 13 D) |–13| = 13
Answer:
D) |–13| = 13
Step-by-step explanation:
[tex]- |13| = 13 : \mathrm{False}\\\\\mathrm{Simplify\:}-\left|13\right|:\quad -13\\-13=13\\[/tex]
Option B
[tex]\left|13\right|=-13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}\left|13\right|:\quad 13\\13=-13[/tex]
Option C
[tex]-\left|-13\right|=13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}-\left|-13\right|:\quad -13\\-13=13[/tex]
Option D
[tex]\left|-13\right|=13 ; True\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\left|-13\right|=13\\\\13=13[/tex]
what is the answer to 9 + 10?
Answer:
19
Step-by-step explanation:
its just addition
Answer:
67
Step-by-step explanation:
its simple baby:)
En la granja hay 509 puercos anota el número antecesor y el número sucesor de la cantidad.
Answer: que
Step-by-step explanation: