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1 year ago

Ria is performing an experiment in chemistry class with a certain

Mathematics

1 answer:

icang [17]1 year ago

4 0

Answer:

Part A: Growing

Part B: 100

Part C: 8100

Step-by-step explanation:

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Evaluate the integral. ∫50∫25−x2√−25−x2√∫25−x2−z2√−25−x2−z2√1(x2+y2+z2)1/2dydzdx∫05∫−25−x225−x2∫−25−x2−z225−x2−z21(x2+y2+z2)1/2d

Kipish [7]

Is that a valid question?

4 0

2 years ago

How many terms in the arithmetic sequence(2,4,6,8....) will give sum of 600

andriy [413]

Answer:

24 terms

Step-by-step explanation:

The sum of an arithmetic sequence is the average of the first and last terms, multiplied by the number of terms. The last term is given by ...

an = a1 + (n-1)d

We have a sequence with first term a1 = 2 and common difference d = 2. So the last term is ...

an = 2+ 2(n -1) = 2n

Then the average of first and last terms times the number of terms is ...

Sn = 600 = n(2 + 2n)/2 = n(n+1) . . . . . . close to n²

We can solve the quadratic in n, or we can estimate the value of n as the integer just below the square root of 600.

√600 ≈ 24.5

so we believe n = 24.

_____

<em>Check</em>

S24 = 24·25 = 600 . . . . . . as required.

8 0

1 year ago

A factor for (f/g, i, n) could be obtained by multiplying the (p/g, i, n) factor by the _______________ factor.

Ede4ka [16]

Nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

4 0

1 year ago

Read 2 more answers

Enzo is studying the black bear population at a large national park.

Naddik [55]

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

$B(t) = 2500 \cdot 2^{0.01t}$

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

$B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973$

There will be 2,973 black bears in 25 years time.

4 0

1 year ago

An unloaded truck and trailer, with the driver aboard, weighs 30{,}00030,00030, comma, 000 pounds. When fully loaded, the truck

kari74 [83]

Answer:

1131 pounds.

Step-by-step explanation:

We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.

First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:

$\text{Weight of tires of the fully loaded semi-truck}=18\times 3,300$

$\text{Weight of tires of the fully loaded semi-truck}=59,400$

The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.

$\text{Weight of 26 pallets of cargo}=59,400-30,000$

$\text{Weight of 26 pallets of cargo}=29,400$

Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.

$\text{Average weight of one pallet of cargo}=\frac{29,400}{26}$

$\text{Average weight of one pallet of cargo}=1130.769230769$

$\text{Average weight of one pallet of cargo}\approx 1131$

Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.

3 0

1 year ago