Answers
Related Questions
One shape is approaching a poor from the east traveling west at 15 mph and its presently 3 miles east east of the port I second ship is already left the poor traveling to the north at 10 mph and is presently 4 miles north of the port at this instant what is the rate of change of distance between the two ships are they going to close your more for their apart
Answers
Answer:
DL/dt = 17 mph
Step-by-step explanation:
The ships and the port shape a right triangle
Ship going west ( x-direction) is traveling at 15 mph
Ship going north (y-direction) is traveling at 10 mph
The distance L between ships is:
L² = x² + y²
Tacking derivatives on both sides of the equation with respect to time
we get
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt (1)
In that equation we know:
Dx/dt = 15 mph
Dy/dt = 10 mph
At the moment ship traveling from the east is at 3 miles from the port
then x = 3 m and the other ship is at 4 miles north
then by Pythagoras theorem
L = √ 3² + 4² L = 5
By substitution in equation 1
2*5*DL/dt = 2*3*15 + 2*4*10
10* DL/dt = 90 + 80
DL/dt = 170 / 10
DL/dt = 17 mph
During the flight of a projectile the x component of the velocity is
A.same during its whole journey
B.maximum when it hits the ground
C. Zero at the highest point
D. Maximum when it leaves the ground
Answers
Answer:
D. Maximum when it leaves the ground
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.
Answers
Answer:
29.71%
Step-by-step explanation:
The interest rate of the savings account is = 114.3%
Calculation of interest rate percentage of an accountThe start up or principal amount (P) = $181.25
Simple interest after 7 years (SI) = $1450
Time or duration (T) = 7 years
To calculate the rate percentage of interest;
R = SI × 100/P×T
R = 1450 × 100/ 181.25 × 7
R = 145000/1268.75
R = 114.3%
Therefore, the interest rate percentage of the savings account is = 114.3%
Learn more about simple interest here:
https://brainly.com/question/25793394
Find cos(B) in the triangle.
Choose 1 answer:
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Adjacent = 3, hypothenuse = 5
Solution: 3/5
can anyone solve these and show work? please help a girl out lol
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45 | 45 | 90
n | n | n root 2
15 | x
n=n=x=15 u
y is hypotenuse, since 15 is n, hypotenuse is gonna be n root 2 so 15 root 2
18) 30-60-90 triangle
30 | 60 | 90
n | n root 3 | 2n
x | y | 15
2n=15
n=7.5=x
7.5 root 3=y
plsssssssssssss help
Answers
Answer:
negative linear relationship
Step-by-step explanation:
can someone help me answer these two questions i will give you brainliest
Answers
2) vertical
Se mezclan alcohol 54% con alcohol de 90 y agua en la proporcion de 6,6 y "n" .hallar "n" sabien que mezclam es del mismo grado de uno de los ingrediente
Answers
Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean
Answers
Make a right triangle from the square
Diagonal length = hypothenuse
Use Pythagorean theorem as stated
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
1024 + b^2 = 1600
b^2 = 576
Square root of 576 = 24
Solution: the width is 24 inches
If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answers
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Show your work
2) Is(-3,-7) a solution to
4x – 8y < 24
Show your work
Answers
Answer: false, 44 is not less than 24
Step-by-step explanation:
Substitute-3 for x and -7 for y.
4(-3)-8(-7)<24
-12+56<24
44<24
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answers
Answer:
I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance
Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
QUICK HELP with the Image below
Answers
Answer:
12 8/11
Step-by-step explanation:
hope it helps you
Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 10x 10= _____. Since _____ is used as a factor _____ times, the exponent is _____. Please help me!
Answers
Answer:10 to the power of 8
Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.
Brainliest for correct answer
Answers
I hope this is correct and please give brainliest because I am saving for expert and I need 5 more brainliest to get it!
Answer:
1/2
Step-by-step explanation:
Scale factor = (new figure measurement)/(original figure measurement)
Find IP using pythagorus
IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²
IP²=(4-(-4))²+(4-2)²
IP²=8²+2²
IP²=68
IP=[tex]\sqrt{68}[/tex]
Find I'P' using pythagorus
I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²
I'P'²=(2-(-2))²+(2-1)²
I'P'²=4²+1²
I'P'²=17
I'P'=[tex]\sqrt{17}[/tex]
Scale factor = (new figure measurement)/(original figure measurement)
=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]
=1/2
Question 10 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x
Answers
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
14^-3 x 14^12
positive exponents
Answers
Answer:
20661046784
Step-by-step explanation:
I couldn't get the pos exponent but hopefully this helps
Which expression is NOT equivalent to
(m-5) *3?
a) 3 * m -15
b) 3 * m - 5
c) 3m - 15
d) 3 * m - 3 * 5
Answers
Answer:
b) 3 * m - 5
Step-by-step explanation:
i rember a test i took on these
What is 12% of 50?
ОА.
6
ОВ.
7
Ос.
10
OD.
12
Answers
Answer:
a 6
Step-by-step explanation:
can i have brainlest
A train arrives at a station and waits 3.5 minutes before departing. Another train arrives at the station 16 minutes later, repeating the cycle. Identify the probability that a train will not be at the station when you arrive.
Answers
Step-by-step explanation:
so we can safely say that one train will be there for 3.5 minutes and it will be gone for 16 minutes before another train comes and repeats the cycle.
we want how many minutes that the train will not be there over the total time that is possible so that would be
16/(16+3.5)
16/19.5
32/39
Hope that helps :)
The probability of the train not being at the station on arrival would be:
0.82
Find the probabilityGiven that,
The duration for which the train makes = 3.5 minutes
The time at which the second train arrives = 16 minutes later
We know that this cycle is repeated.
The duration for which the train is not there would be:
[tex]= 16/(16+3.5)[/tex]
[tex]= 16/19.5[/tex]
[tex]= 32/39[/tex]
[tex]= 0.82[/tex]
Thus, 0.82 is the probability.
Learn more about "Probability" here:
brainly.com/question/8069952
An airliner travels 95 miles in 12 minutes. What is its speed in miles per hour?
Answers
Answer:
475 miles per hour
Step-by-step explanation:
the plane traveled 95 miles in 12 minutes. the first thing we need to do is determine how many 12 minutes go into 1 hour. 12 minutes is repeated 5 times in order to get a total of 60 minutes and 60 minutes is 1 hour. the final thing we need to do is multiply 95 by 5 to get the total number of miles per hour traveled. the total of that is 475 miles per hour which is the answer
written math;
60/12=5
95*5=475
answer= 475 miles per hour
Please help and I’ll mark brain list!
Answers
Answer:
y = 6
Step-by-step explanation:
Answer:
Y = 6Step-by-step explanation:
5y + 1 = 31 -1 -1 [tex]\frac{5y}{5y}[/tex] = [tex]\frac{30}{5y}[/tex] Y = 6A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since 2013
Answers
Answer:
Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since 2013 and is significantly different from 45%
Step-by-step explanation:
Sample size, n = 3603
x = 1697
Phat = x/n = 1697/3603 = 0.4709 =47.09%
H0 : p = 0.45
H1 : p > 0.45
The test statistic :
(phat - p) / sqrt[(p(1 - p)) /n]
(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]
0.0209 / 0.00828810932
Test statistic = 2.5217
The Pvalue :
Using the Pvalue from Test statistic calculator ; α = 0.05 ;
Pvalue at 95% confidence = 0.005839
Pvalue < α ;
Hence, we reject the Null
Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since 2013.
Solve these equations. Show solutions on a number line.
|x-7|=x-7
Answers
Answer:
X is equal to or greater than 7
Step-by-step explanation:
Since lx-7l is equal to x-7, this means that it can only work on places where the lines are on top of each other. In terms of x, this means that x must be at least 7. As you can see in the number line also attached.
its very easy just try it
Answers
Answer:
it is biased
Step-by-step explanation:
Xander needs to collect at least 180 cans for a food drive to earn community service credit. He has already collected 64 items. describe in words
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PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?
Answers
Answer:
640
Step-by-step explanation:
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look at pic 10 pts will mark brainilest
Answers
Answer:
D
Step-by-step explanation:
It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.
What is the value of x in centimeters?
Answers
Answer:
2.5 cm
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
AC BC
-------- = ---------
FH GH
12 15
-------- = ---------
18 x
Using cross products
12x = 15*18
Divide each side by 12
12x/12 = 15*18/12
x = 2.5
How many cards are in a standard deck of cards? What are their colors?
Answers
Answer:
52 cards
Step-by-step explanation:
the colors I am not sure of thought sorry