9514 1404 393
Answer:
16.9 m/s N 32.9° W
Step-by-step explanation:
The resultant magnitude can be found from the law of cosines. The internal angle between the boat's heading and the river flow is 135°, so the magnitude of the boat's net speed is ...
v² = 5² +13² -2·5·13·cos(135°) ≈ 285.924
v = 16.9093 . . . . m/s
The angle (α) between the boat's heading and the resultant velocity can be found from the law of sines.
sin(α)/5 = sin(135°)/16.9093
α = arcsin(5/16.9093×sin(135°)) ≈ 12.07°
The boat's actual heading will be this angle less than the 45° angle the heading makes with due North.
45° -12.07° = 32.93°
The boat's velocity with respect to shore is about ...
16.9 m/s N 32.9° W
a tv costs 800 plus vat at 20% what is the total cost of the tv
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answer:
25
Step-by-step explanation:
(0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens.
Answer:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.
Step-by-step explanation:
The general equation of a parabola is:
y = ax² + bx + c
So we have to solve for a, b and c to get our equation with the 3 given points.
When x = 0 and y = 3 we have
3 = a(0)² + b(0) + c, this means c = 3
When x = 4 and y = 15
15 = a(4)² + b(4) + 3 we have
16a + 4b = 12 which is
4a + b = 3
When x = 5 and y = 33 we have
33 = a(5)² + b(5) + 3 we have
25a + 5b = 30 which gives
5a + b = 6.
We have two equations
4a + b = 3
5a + b = 6
Eliminating b we have
a = 3, substituting a = 3 in the first equation we have
4(3) + b = 3
12 + b = 3
b = –9
Our equation therefore is:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.
HELP PLEASE NEED IT ASAP
Answer:
x=-4 x=2
Step-by-step explanation:
BRAINLIEST PLS
A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?
Answer:
$2.25 per movie
Step-by-step explanation:
3(4)= $12
$12-$3= $9
$9/4= $2.25
Find the missing side lengths leave your answerss as radicals
Answer:
a= 5[tex]\sqrt{2}[/tex]
b=5
What is : [tex]7a + 8b + 9a + 4b + b =[/tex]
Answer: 16a + 13b
Step-by-step explanation: combine like terms:
7a + 9a
8b +4b +b
= 16a + 13b
Answer:
16a + 13b
Step-by-step explanation:
7a + 9a = 16a
Remember: a number without coefficent is 1
8b + 4b + b = 13b
Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.
Answer:
The answer is "np(1+p)".
Step-by-step explanation:
[tex]N_1[/tex] = Number of n tossed heads
According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads
So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)
[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]
[tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]
In a study of 300 students under 25 years old, 21 have not yet learned to drive. What percentage can drive
Answer:
7%
Step-by-step explanation:
300/21 is 0.07, and 0.07 in percent form is 7%
Write an inequality for the graph below.
please help !!
Answer:
(1,5) and (2,1)
Step-by-step explanation:
we can count the graph which has given in red circle
How much fencing is needed to enclose a field that is 300 meters by 600 meters?
1800 meters of fencing is required to enclose a field.
Given that, the dimension of the field is 300 meters by 600 meters.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Now, the perimeter of the rectangular field=2(600+300)
=2×900=1800 meters.
Therefore, 1800 meters of fencing is required to enclose a field.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/2142493.
#SPJ2
Factor out the coefficient of the variable 2/3j - 2/9
answer: hey lol*sharts loudly*
Step-by-step explanation:
you just need to use the bathroom next time;))))
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Answer:
D, 32
Step-by-step explanation:
First input all the numbers. Then do what’s inside the parenthesis first then multily by 12. lastly divide that number by 2.4
Answer:
32
Step-by-step explanation:
[tex]\frac{12(4+2.4)}{2.4}\\\frac{12(6.4)}{2.4} \\ \frac{76.8}{2.4}=32[/tex]
Which expression is equivalent to (m2p–2r7)(m–5p4r2)?
Answer:
=(m2p+−2r7)(m+−5p4r2)
=(m2p)(m)+(m2p)(−5p4r2)+(−2r7)(m)+(−2r7)(−5p4r2)
=m3p−5m2p5r2−2mr7+10p4r9
=10p4r9−5m2p5r2−2mr7+m3p
Step-by-step explanation:
:D
A battery is charged. The percentage of the battery's capacity that is charged as a function of time (in minutes) is graphed. graph At what rate is the battery charged? Choose 1 answer: Choose 1 answer: (Choice A) A 20 percent per minute (Choice B) B 1 percent per minute (Choice C) 2 percent per minute (Choice D) 10 percent per minute
The answer is -12 percent
Answer:
12%
Step-by-step explanation:
Just do 12% it is correct the other one is wrong
Which signs do you have to fill ( + , - , × , ÷ , √ , = ) in between the numbers to make this a true equation.
74205, 3 , 169 , 490 , 1701 , (1/8) , 15262 , 2²
Answer:
put them in order
Step-by-step explanation:
1/2+2-3=309y6
Round your answer to tenth place. A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 14 ft 18 ft 20 ft Park Sandbox 8 ft Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox? DOLL
No picture given for this problem. Repost.
Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?
Answer:
448 miles
Step-by-step explanation:
Amy's car can hold 15 gallons of gas. Provided that each gallon can drive her 32 miles. This means that 15 gallons can drive her 480 miles.
15 gallons x 32 miles = 480 miles
However, she needs to keep 1 gallon of gas in the tank for safety reasons. So we have to subtract 1 gallon from 15 gallons.
15 gallons - 1 gallon = 14 gallons
Now, let's compute again.
14 gallons x 32 miles = 448 miles
Amy can drive 448 miles before she needs to fill up the tank again.
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
b. Use your equation to find the total monthly cost if 624 minutes are used
Answer:
a) $141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b) $244.4
Step-by-step explanation:
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
If a customer uses 330 minutes, the monthly cost will be $141.5.
y = mx + b
$141.5 = 330m + b
If the customer uses 890 minutes, the monthly cost will be $337.5.
$337.5 = 890m + b
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b. Use your equation to find the total monthly cost if 624 minutes are used
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
We Subtract Equation 2 from 1
-196 = -560m
m = -196/-560
m = 0.35
$337.5 = 890m + b..... Equation 2
$337.5 = 890 × 0.35 + b
$337.5 - 311.5 = b
b = 26
When x = 624
y = 624× m + b
m = 0.35 , b = 26
y = 624 × 0.35 + 26
y = 218.4 + 26
y = $ 244.4
TRUE or FALSE. Coordinates and position are written the same way but show different information?
Answer:
True.
Step-by-step explanation:
Please help I’ll mark brainliest if u give a small explanation
I need help I’m graphing this please help out
Answer:
Step-by-step explanation:
Answer:
y-intercept(0, -9)
Step-by-step explanation:
segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?
As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.
Answer:
we conclude that the segment AB was dilated by scale factor 3.
Step-by-step explanation:
From the diagram, it is clear that the original points A and B are located
at (0, 2) and (2, 3) respectively.
i.e.
A(0, 2)B(2, 3)As the coordinates of the dilated segment A'B' are given as:
A'(0, 6)B'(6, 9)A scale factor is basically a number that multiplies an object or quantity.
For instance, the 'D' in [tex]y = Dx[/tex] is the scale factor for x.
If the equation were y = 7x, then the factor would have been 5.
As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).
i.e.
A(0, 2) → (0×3, 2×3) = A'(0, 6)
B(2, 3) → (2×3, 3×3) = B'(6, 9)
Therefore, we conclude that the segment AB was dilated by scale factor 3.
Answer:
Segment AB was dilated by scale factor 3.
Step-by-step explanation:
The person above is correct tahnk you!!!
Simplify the expression. 55−4x5+12
Answer:
First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.
Answer: 62.5
Step-by-step explanation:
Hope this helps!
:)
danny bought a shirt that was first put on sale for 30% off that went on clearance for an additional 40% off. what is the markdown if the original price was $94.99
Answer:
The total is $28.50
Step-by-step explanation:
1. In the Mauritius warehouse, 145 kg of corn and 105 kg of beans are stored. Answer back:
A) What percentage of the total production does corn represent?
B) What percentage of the total production does beans represent?
Answer:A) 58% and B) 42%
Step-by-step explanation:
Plz brainliest: I’m almost an expert plz
10. If a rectangular prism has a volume of 60 cubic inches and all dimensions are doubled, what is the new
volume?
d. 30 in
c.
b. 120 in
60 in
480 in
a.
Answer:
New volume on this is 480 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is area of base * height
That would be;
l * b * h = lbh
we have all this as 60
Doubling all, we have
2l * 2b * 2h = 8lbh
Recall lbh = 60
So 8lbh = 8 * 60 = 480 cubic inches
Find the equation of the straight line line passing through the point ( 0 , 1 ) which is perpendicular to the line y = -2x + 2
Step-by-step explanation:
y=-2x+2
hence the gradient is -2
gradient of perpendicular line
m1m2=-1
-2m2=-1
2m2=1
m2=1/2
so equation when m=1/2
m(x-x1)=y-y1
0.5(x-0)=y-1
0.5x-0=y-1
0.5x+1=y hence this is the equation
It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.
Answer:
what is it asking
Step-by-step explanation:
Hey pls help me in this thanks a lot
Answer:
m= -13-q+15h, h€R, q€R