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3 years ago

8

I’m really bad at math can anyone help me with this problem? Thank you

1 answer:

levacccp [35]3 years ago

5 0

Answer:

$(a^{2})^{6}$

Step-by-step explanation:

one law of exponents is that

$(x^{a})^{b} = x^{ab}$

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Help asap on all three thanks

mash [69]

1. All negative numbers added together are still negative

2. There is a proof and a theorem for it.

3. If it is an animal, then it has fur

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3 years ago

If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.

damaskus [11]

Answer:

154

Step-by-step explanation:

.4 x 112 = 280

.95 x 266 = 280

.55 x 280 = 154

5 0

3 years ago

What is the slope of the line?

damaskus [11]

Answer:

- 7/4

Step-by-step explanation:

1) (y2 - y1)/(x2 - x1)

2) pick two points, mine were (1,-3) and (-3,4)

3) Substitute the values (4+3)/(-3-1)

4) Solve and no matter what points you’ll get -7/4

3 0

3 years ago

the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.

Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $ $5$ for going in.

She has $2$ whole pounds.

$1.25$ x $2=2.5$ or $2 \frac{1}{2}$

Add $ $5$ and $ $2.5$ .

$5+2.5 = 7.5$

Now let's do $1.25 divided by 10.

$$$ $ $1.25$ divided by $ $10$ $=0.125$

Now let's do $0.125$ times $4$

$0.125$ x $4 = 0.5$

Now let's add 7.5 to 0.5

$7.5+0.5=8$

4 0

3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

6 0

3 years ago