2 years ago

Four friends agree to save money for a graduation road trip. They decide that

Mathematics

2 answers:

elixir [45]2 years ago

7 0

Answer:

The answer is 7.75

Step-by-step explanation:

All you do is multiply .25 and 31.

Mkey [24]2 years ago

6 0

Answer:

There will 7.75 by the end of may.

Step-by-step explanation:

All you have to do is multiply .25 to 31

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Circle R is shown. Tangents F G and H G intersect at point G outside of the circle to form an angle with a measure of 50 degrees

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Answer:

if x = arc FG, then x = 130 degrees, the bigger arc is 230 degrees.

Step-by-step explanation:

We see there are 2 tangent lines of circle R

There is a theorem that says angle FGH = [ (arc FEH) - (arc (FH)] /2

50 = (arc FEH - arc FH) /2

arc FEH - arc FH = 100

and arc FEH + arc FH = 360

solving this system you should get FH = 130 and FEH = 230

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Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One common ch

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Answer:

$y=\frac{-7t^2+22t-7}{7t-22}$

Step-by-step explanation:

We are given that

Initial value problem

$y'=(t+y)^2-1$ , y(3)=4

Substitute the value $z=t+y$

When t=3 and y=4 then

z=3+4=7

$y'=z^2-1$

Differentiate z w.r.t t

Then, we get

$\frac{dz}{dt}=1+y'$

$z'=1+z^2-1=z^2$

$z^{-2}dz=dt$

Integrate on both sides

$-\frac{1}{z}dz=t+C$

$z=-\frac{1}{t+C}$

Substitute t=3 and z=7

Then, we get

$7=-\frac{1}{3+C}$

$21+7C=-1$

$7C=-1-21=-22$

$C=-\frac{22}{7}$

Substitute the value of C then we get

$z=-\frac{1}{t-\frac{22}{7}}$

$z=\frac{-7}{7t-22}$

$y=z-t$

$y=\frac{-7}{7t-22}-t$

$y=\frac{-7-7t^2+22t}{7t-22}$

$y=\frac{-7t^2+22t-7}{7t-22}$

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