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3 years ago

Find the common difference of the arithmetic sequence ?

Mathematics

1 answer:

levacccp [35]3 years ago

3 0

Think: 25 less what number is 18?
18 less what number is 11?
11 less what number is 4?

Note that "less" indicates "negative" or "subtraction."

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If Santiago is 5 feet and 11 inches tall and Michael is 5 feet 2 inches tall what is their total height in centimeters rounded t

lora16 [44]

Answer:

The total height is 5 feet 22 cm.

Rounded is 5 ft 20cm.

Step-by-step explanation: Please brainliest?

7 0

3 years ago

Dante buys his lunch every day at school. After 15 days, Dante has spent $37.50 on school

pychu [463]

Answer:

12.5

Step-by-step explanation:

37.50÷15=2.5

2.5×5=12.5

5 0

3 years ago

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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,

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

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3 years ago

58 divided by 7<br> What is the remainder in fraction form

Maru [420]

Since 7*8= 56 if you divide 58 by 7 you would get 8 with a remainder of 2. The remainder goes over the divisor so it would be 8 and 2\7

5 0

3 years ago

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Factor the expression 3x^2 - 15x<br> i will mark brainliest

tensa zangetsu [6.8K]

Step-by-step explanation:

The table of three and x is common

3x ( x + 5)

Is the answer

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3 years ago

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