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I suspect the first term of h(t) should be -4.9t^2  not -4.9t.

Then by setting h(t) = 6 you have a quadratic equation which will give you two solutions for t; the difference between them being the length of time required.

x^2 - 2x + 1 - 15x + 4 = 0

x^2 - 17x + 5=0

solve using the quadratic formula

I am pretty sure I saw this question answered yesterday.  Go see if you can find it.

Hint:

cos(2x)=cos^2x-sin^2x

and

sin^2x=1-cos^2x

simplify then sub   y=cos(theta)

then solve as a quadratic

8C3  

nCr(8, 3) = 56

Hello Guest!

look there

How many chocolate cakes did he eat?

Hello Guest!

\(\frac{5}{8}\cdot \frac{4}{9}\cdot 288+\frac{5}{9}\cdot 288=288-x\\ x=288-(\frac{5}{8}\cdot \frac{4}{9}\cdot 288+\frac{5}{9}\cdot 288)\) 

\(x=48\)

48 chocolate cakes did Jeff eat.

  !

What must the value of a?

Hello Guest!

\(f(x) = x + 2\ \color{blue}if\ x > 3\\ f(x) = 2x^2 + 2x + a\ \color{blue}if\ x <= 3 \)

\(3+2=2\cdot3^2+2\cdot 3+a\\ a=3+2-2\cdot 3^2-2\cdot 3\)

\(a=-19\)

  !

The solution is t = 9/14.

How many minutes is it until 5:00 if forty minutes ago it was four times as many minutes past 2 o'clock? 

There are 180 minutes from 2 o'clock to 5 o'clock

The time is now 28 minutes until 5  

Explanation:  If it's now 28 minutes until 5, then 40 minutes ago it was 68 minutes until 5,  

                      which is 112 minutes after 2  (i.e. 180 – 68 = 112)  and 112 is 4 times 28  

_.

This is not 4 digits.

this has been answered recently. Go look for it.

It could be

13^2 = 169

or

14^2=196

I think they both meet all the requirements

The perimeter of the octagon is 56.

There are 32,888,270 ways.

Let the distance to the beach==D

Let the time taken to drive to the beach ==T

D /40 == T

D /50 == T - 1/2, solve for D, T 

D==100 miles - distance to the beach

T ==5/2 ==2.50 hours - time it takes to drive to the beach

Note: if you drove at 50 mph, you would get to the beach 30 minutes EARLIER and not LATER !!!

See https://web2.0calc.com/questions/please-help_3516

Solve the inequality 2x - 5 <= -x +12 + 3x + 7.

Hello Guest!

\(2x - 5 <= -x +12 + 3x + 7\\ parallel\ graphs \\ 2x - 5 < 2x +19\\ \color{blue}x\in \mathbb R\\ 2x - 5 = 2x +19\\ \color{blue}\mathbb L= \{\}\)

  !

What is tan X?

Hello Guest!

\(cos\ Y=\dfrac{\overline{YZ} }{25}=\dfrac{7}{29}\\ \overline{YZ}=\dfrac{7\cdot 25}{29}=6.0345\\ \overline{XZ}=\sqrt{25^2-\overline{YZ}^2}=24.26077\\ tan\ X=\dfrac{\overline{YZ}}{\overline{XZ}}=\dfrac{\dfrac{7\cdot 25}{29}}{\sqrt{25^2-\dfrac{7\cdot 25}{29}}}\)

\(tan\ X=0.242553069477\)

  !

A short code in C++ found:

276 odd triplets.

See the answer under your original post.

B==Black,  W==White,  G==Green,   L==Blue

[G  +  L]==M

B ==8/5W

W /[M]==8/5

B/[M + 138] ==4 / 3, solve for B, W, M

B==384,   W==240,    M==150

a) B : M ==384 : 150 == 64 : 25

b) 384 - 240 == 144

Show your steps, please.

Straight

Hello Guest,

here's the answer:

\(3x+2y+xy=115+7x\) ,

\(\frac{d}{dx}(3x)+\frac{d}{dx}(2y)+\frac{d}{dx}(xy)=\frac{d}{dx}(115)+\frac{d}{dx}(7x)\),

\(3+\frac{d}{dx}(2y)+\frac{d}{dx}(xy)=\frac{d}{dx}(115)+\frac{d}{dx}(7x)\),

\(3+\frac{d}{dy}(2y)*\frac{dy}{dx}+\frac{d}{dx}(xy)=\frac{d}{dx}(115)+\frac{d}{dx}(7x)\) ,

\(3+\frac{d}{dy}(2y)*\frac{dy}{dx}+\frac{d}{dx}(x)*y+x*\frac{d}{dx}(y)=\frac{d}{dx}(115)+\frac{d}{dx}(7x)\) ,

\(3+\frac{d}{dy}(2y)*\frac{dy}{dx}+\frac{d}{dx}(x)*y+x*\frac{d}{dx}(y)=0+\frac{d}{dx}(7x)\) ,

\(3+2*\frac{dy}{dx}+\frac{d}{dx}(x)*y+x*\frac{d}{dx}(y)=0+\frac{d}{dx}(7x)\) ,

\(3+2*\frac{dy}{dx}+1y+x*\frac{d}{dx}(y)=0+\frac{d}{dx}(7x)\) ,

\(3+2*​​\frac{dy}{dx}+1y+x*\frac{d}{dx}(y)=0+\frac{d}{dx}(7x)\) ,

\(3+2*\frac{dy}{dx}+1y+x*\frac{d}{dy}(y)*\frac{dy}{dx}=0+\frac{d}{dx}(7x)\) ,

\(3+2*\frac{dy}{dx}+1y+x*\frac{d}{dy}(y)*\frac{dy}{dx}=\frac{d}{dx}(7x)\) ,

\(3+2*\frac{dy}{dx}+1y+x*\frac{d}{dy}(y)*\frac{dy}{dx}=7\) ,

\(3+2*\frac{dy}{dx}+y+x*\frac{d}{dy}(y)*\frac{dy}{dx}=7\) ,

\(3+2*\frac{dy}{dx}+y+x*1*\frac{dy}{dx}=7\) ,

\(3+2*\frac{dy}{dx}+y+x*\frac{dy}{dx}=7\) ,

\(2*\frac{dy}{dx}+x*\frac{dy}{dx}=7-3-y\) ,

\((2+x)*\frac{dy}{dx}=7-3-y\) ,

\((2+x)*\frac{dy}{dx}=4-y\) ,

\(\frac{dy}{dx}=\frac{4-y}{2+x}\) ,

so the solution is: \(\frac{dy}{dx}=\frac{4-y}{2+x}\) .

Straight