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3 years ago

Solve the following linear equation for x. 5x – 2 + x = 9 + 3x + 10 x =

Mathematics

1 answer:

Maru [420]3 years ago

7 0

Answer:

x=7

Step-by-step explanation:

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the radius of a sheridan balloon is increasing at a rate of 3 centimeters per minute. how fast is the volume changing when the r

san4es73 [151]

The volume of the balloon is $2352\pi cc/min$

Explanation:

The radius of the balloon is increasing at a rate of 3 cm/min.

To determine the volume of the balloon when the radius is 14 cm, we shall use the formula $V=\frac{4}{3} \pi r^3$

The rate of change of r with respect to time t is given by,

$\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$

Now, we shall determine the $\frac{d}{d t}(V)$

$\begin{aligned}\frac{d}{d t}(V) &=\frac{d}{d t}\left(\frac{4}{3} \pi r^{3}\right) \\&=\frac{4}{3} \pi\left(3 r^{2}\right)\frac{d}{d t}(r) \\&=4 \pi r^{2}\frac{d}{d t}(r)\end{aligned}$

Now, we shall determine the $\frac{d}{d t}(V)$ at $r=14 \mathrm{cm}$ and substituting $\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$ , we get,

$\begin{aligned}\left(\frac{d V}{d t}\right)_{r=14} &=4 \pi r^{2} \frac{d}{d t}(r)\\&=4 \pi(14)^{2} (3)\\&=4 \pi 196 (3)\\&=2352\end{aligned}$

Thus, The volume of the balloon is $2352\pi cc/min$

7 0

3 years ago

How to add 509+12 and get the answer to it

Neporo4naja [7]

Add 509 and 12:
509
+ 12
____
521
509 + 12 = 521

4 0

3 years ago

Read 2 more answers

In the town where Richard lives, peaches are in season from June through

ollegr [7]

Answer:

Richard had bake an Apple pie.

Step-by-step explanation:

Given:

Seasoned fruit From June to August = peaches

Seasoned fruit from September to November = Apples

Also Given:

Richard picked some fruit and baked a pie in the weekend of October.

We need to find what kind of pie he baked.

Now we know peaches are growing from June to august and apples are growing from September to November.

Also Richard picked a fruit on the weekend of October and baked a pie.

Since October lies between September and November and the fruit growing this season is apple.

we can say that;

Richard had bake an Apple pie.

7 0

3 years ago

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total r

Masja [62]

Answer:

about 26 min

Step-by-step explanation:

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point

First we find the average speed

We add both speed and divide it by 2

$\frac{4.5+5.5}{2} = 5$

Now we find the distance for round trip

given total time is 48 mins. convert mins into hours

48 mins = 48 divide by 60 = 0.8

average speed = 5 km/hr

Distance = speed * time = 5 * 0.8 = 4 km

distance covered both ways = 4 km

so 4 divide by 2 = 2 km each way

To find time taken for upstream = distance of each way / speed of upstream

time = $\frac{2}{4.5} = 0.44 hours$

Now convert hours into minutes

0.44* 60= 26.4 minutes

3 0

3 years ago

Using the equation shown below calculate the q value of vertex?<br><br> y= 2x2square +4x -9

Ugo [173]

Answer:

The vertex is (-1,-11).

Step-by-step explanation:

I don't know what the q value of this is, but I found the vertex for you.

I hope that this helps!

6 0

3 years ago