Please help if your good at maths :( on the image with the steps Please

Charra [1.4K]

The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.5 hours and travels 25 miles.
d= D. 37.5 miles per hour
r= 25
t=1.5
25*1.5
=37.5

D.
37.5 miles per hour

5 0

3 years ago

If sv=38, su=26, and the perimeter of SUV is 102, what is the value of RU?

Finger [1]

Answer:

38

Step-by-step explanation:

Let SUV be a triangle

Perimeter of SUV = SU+SV + UV

102 = 38 + 26 + UV

102 = 64 + UV

UV = 102 - 64

UV = 38

Hence the length of UV is 38

8 0

3 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

What is the mode of the data represented in this line plot? Enter your answer in the box.

Semenov [28]

Answer:

2

Offmind's Step-by-step explanation:

The Mode of a data set (line plot in this case) is the number which occurs most often. The line plot here shows the most x's on the number 2 than any other number so the mode is in fact, 2.

Bonus Fact: In another case, if there had been two numbers with the same amount of x's then those would both be considered the mode!

If you found this answer helpful please consider marking it Brainliest

Thanks!

-Offmind

5 0

2 years ago

Calculate the size of θ in the given diagram ( see image). O is the center of the circle.

mariarad [96]

Answer:

∅ = 42°

Step-by-step explanation:

90 - 48 = 42° because 48 and 42 are complimentary angles (add up to 90°)

because the radii lines form an isosceles triangle, ∠∅ also = 42°

3 0

3 years ago

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Please help if your good at maths :(on the image with the steps Please ​

Please help if your good at maths :(on the image with the steps Please