a cylinder has height of 12 and a diameter of 10 find the volome

Answer: -10-16i

Step-by-step explanation:

Given

(4-5i)-(12+11i)

Expand parenthesis

2-5i-12-11i

Put like terms together

(2-12)-(5i+11i)

Combine like terms

-10-16i

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Answer:

615.44 cubic yards

Step-by-step explanation:

V = 1/3·π·7²·12

The total weight of the grain purchase is 5.5 tons when grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds.

To find the total weight of the grain purchase in tons, we need to convert the weight from pounds to tons and then sum them up.

Given the weights from the three suppliers:

Supplier 1: 3,200 pounds

Supplier 2: 7,200 pounds

Supplier 3: 600 pounds

To convert pounds to tons, we divide the weight in pounds by the conversion factor of 2,000 (since there are 2,000 pounds in a ton).

Supplier 1's weight in tons: 3,200 pounds / 2,000 = 1.6 tons

Supplier 2's weight in tons: 7,200 pounds / 2,000 = 3.6 tons

Supplier 3's weight in tons: 600 pounds / 2,000 = 0.3 tons

Now, we can calculate the total weight by summing up the weights from each supplier:

Total weight in tons: 1.6 tons + 3.6 tons + 0.3 tons = 5.5 tons

Therefore, the total weight of the grain purchase is 5.5 tons.

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Answer:

-1,-2,-4

an = a1 * r^(n - 1)

a1 = first term = -1

r = common ratio = 2

so the equation would be : an = -1 * 2^(n - 1)

Answer:

A

Step-by-step explanation:

Answer:

D: 11,046

Step-by-step explanation: i took the quiz

Answer:

Step-by-step

explain your question more please.

Answer:

2 × 2 × 3 × 3 × 3

Answer:

well we don't don't know...because x is unknown

Answer:

There no problem but 5<=x in equation form

Step-by-step explanation:

That way because x can either be five or higher

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

Answer:

2x(x+3)(x-3)

Step-by-step explanation:

Answer:

4 pencils

Step-by-step explanation:

Note=  pencils costing 0. 90p

Given data

Balance= £10

pen= 3*1.45= £4.35

pencils=0.90p

change= £2.05

2.05= 10-4.35-90p

solve for p

2.05= 5.65-90p

collect like terms

5.65-2.05= 0.90p

3.6=90p

divide both sides by 90

p=3.6/0.90

p=4

Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

[tex]f(t)=a(r)^t[/tex]

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

Therefore, our function is:

[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]

One year has 365 days.

Therefore, the amount remaining after one year will be:

[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]

About 0.6548 grams will be remaining.  

Alternatively, we can use the standard exponential growth/decay function modeled by:

[tex]f(t)=Ce^{kt}[/tex]

The starting sample is 510. So, C = 510.

After one half-life (38 days), the remaining amount will be 255. Therefore:

[tex]255=510e^{38k}[/tex]

Solving for k:

[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]

Thus, our function is:

[tex]f(t)=510e^{t\ln(.5)/38}[/tex]

Then after one year or 365 days, the amount remaining will be about:

[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

Answer: Meaghan is right.

Step-by-step explanation:

For a number like:

123.45

the tens place would be the "2" (second number at the left of the decimal point)

The ones place would be the "3" (first number at the left of the decimal point)

Let's suppose that Lily is correct.

Then the quotient of:

43.61/7

Will be a number with two digits in the left of the decimal point.

The smallest number that meets this condition, is the number 10.

Then let's see:

7*10 = 70

then:

70/7 = 10

and:

43.61 < 70

(70 is larger than 43.61)

then:

43.61/7 < 70/7 = 10

Then:

(43.61/7) < 10

This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.

Then Meaghan is the correct one.

We also could perform the quotient to find:

43.61/7 = 6.23

So yes, Meaghan is correct.

Answer:

c= -2

Step-by-step explanation:

Answer: 100,000,000,000,000

Step-by-step explanation:

1.0 x 10^14

since the exponent is positive that means we move the decimal to the right 14 times and you should get 100000000000000.0

The fractional form is 7/10.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

We have to divide 7 by 10.

The common factor for 7 and 10

7 = 7 x 1

and, 10= 2 x 5 x 1

so, there is only one factor common is 1.

Thus, the fraction is 7/10.

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Answer:

3

Step-by-step explanation:

In expressions, there are 4 items to look at :

1. Terms

2. Coefficients

3. Like Terms

4. Constant Terms

Since 4. is the topic at hand, let's focus on that, constant terms are terms that cannot be changed value.

This would mean numbers without a variable, look at the expression below :

7x + 3

Since 3 doesn't have a variable, therefore 3 is a constant term.

Answer:

Step-by-step explanation:

Answer:

radius =3cm

volume of the sphere =4/3 πr^3

=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7

=113.1cm^3

Step-by-step explanation:

22/7*1111=3491

this is the ams

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

Answer:

50000. easy

Step-by-step explanation:

Answer:

50000

Step-by-step explanation:

Answer:

ultiply by 2 and then add 2

Step-by-step explanation:

....hi

Answer:

9x

Step-by-step explanation:

hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx

Answer:

9x or 15x

Step-by-step explanation:

-3x + 12x = 9x

-3 + 12 = 9,

or if you just straight out add

-3x + 12x = 15x