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3 years ago

If x = 4 and y = 12, evaluate the following expression:

Mathematics

1 answer:

Vladimir79 [104]3 years ago

4 0

Answer:

$\displaystyle \frac{1}{3}$

Step-by-step explanation:

Hi there!

$\displaystyle \frac{x}{y}$

We're given that x=4 and y=12. Plug these in:

$=\displaystyle \frac{4}{12}\\\\=\displaystyle \frac{1}{3}$

I hope this helps!

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I need help. Please solve this using GEMS. Take a photo of your work and attach it to your answer. Please help.

crimeas [40]

Answer:

120

Step-by-step explanation:

45 ÷ 3 x 2³

2³ = 8

45 ÷ 3 x 8

45 ÷ 3 = 15

15 x 8 = 120.

Hope this helped.

P.S. do I have to put in a photo?

8 0

3 years ago

Given sin(-0)=-1/6 and tan0=-√35/35

elena55 [62]

Answer:

<u>Option a. √35/6</u>

Step-by-step explanation:

Given sin θ = -1/6 and tan θ = -√35/35

We should know that :

tan θ = (sin θ)/(cos θ)

∴ Cos θ = (sin θ)/(tan θ)

∴ Cos θ = (-1/6)/(-√35/35) = (-1/6) * (-35/√35)

= 35/(6√35) = (√35 * √35)/(6√35) = √35/6

<u>The answer is option a. √35/6</u>

8 0

4 years ago

Elisa withdrew $23 at a time from her bank account and withdrew a total of $207. Frances withdrew $43 at a time from his bank ac

Contact [7]

Answer: Elisa

Step-by-step explanation:

Since Elisa withdrew $23 at a time from her bank account and withdrew a total of $207, the number of times that Elisa withdrew will be:

= $207/$23

= 9 times

Since Frances withdrew $43 at a time from his bank account and withdrew a total of $172, the number of times that Frances withdrew will be:

= $172/$43

= 4 times.

Based on the calculations, we can see that Elisa made the greater number of withdrawal.

3 0

3 years ago

CHECK ALL ANSWERS THAT APPLY*

Musya8 [376]

Answer:

We get t= 7.22 and t=0.28

The correct options are Option A and Option G

Step-by-step explanation:

The height h of toy rocket at time t seconds after launch is given by the equation $h(t) = -16t^2 + 120t + 8$

We need to find how many seconds until the rocket is 40 feet?

We are given height of rocket h(t) = 40 feet

and we need to find time t

Using the equation $h(t) = -16t^2 + 120t + 8$ we can find time t

We have h(t)=40

$h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0$

Now, we will solve the quadratic equation using quadratic formula: $t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a =16, b=-120 and c=32

Putting values and finding t

$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28$