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Art [367]
3 years ago
15

What is the sum of of each of the following series of numbers? 1+3+5+----+997+999

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

998,001

Step-by-step explanation:

Sum (S) of n terms in an arithmetic sequence is given by;

S_{n} = \frac{n}{2}(2a + d(n-1)) , where d is the common difference

S_{999} = \frac{999}{2}(2 + 2(999-1)) = 998,001

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Stanley drove his car on a business trip when he left the mleage was 840miles. And. when he returned the mileage was 1,200miles.
Elan Coil [88]
I think for this item, the rate at which the gasoline was consumed is to be calculated. To determine the distance that Stanley's car had traveled, we subtract 840 miles from 1,200 miles. That will give us an answer of 360 miles. Dividing this by 12 gallons will give us an answer of 30 miles/gal. 
3 0
3 years ago
The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?
Veseljchak [2.6K]

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

8 0
3 years ago
AYO PLEASE HELP ASAP :(
arlik [135]

Answer:

573440 kg

Step-by-step explanation:

Given,

Density of copper ( D ) = 8960 kg / m³

Length of cube ( l ) = 4 meters

To find : Mass of solid cube of copper ( m )

Formula : -

Volume of cube = l³

Volume of cube

= l³

= 4³

= 4 x 4 x 4

= 64 meter³

So,

V = 64 meter³

Formula : -

D = m / V

m = D x V

   = 8960 x 64

m = 573440 kg

Hence,

The mass of a solid cube of copper is <u>573440</u> kg.

3 0
2 years ago
3 1/2 - 4 2/5<br> how do i do this?
Nadusha1986 [10]

Answer:

Ok so first you would have to turn them into improper fractions which is

3 \frac{1}{2\\} = \frac{7}{2} and 4 \frac{2}{5} = \frac{22}{5}

So now that you have made them both improper fractions you have to find common denominators.

To find common denominators you must multiply both the numerator and the denominator by the same thing. Since your oposing fraction has a denominator of 5 you can know that a even number wont go in an odd number so take \frac{22}{5} and mutiply both numbers by 2 and get \frac{44}{10}. Then mutiply both numbers in \frac{7}{2} by 5 to get a common denominator.

\frac{35}{10}

\frac{35}{10} - \frac{44}{10} =35 - 44 = -9 so your answer is -\frac{9}{10}

Step-by-step explanation:

5 0
3 years ago
Lago enriquillo , Dominican Republic is at 151 ft below sea level. The highest mountain in the Dominican Republic is pico Duarte
riadik2000 [5.3K]

Answer:

10,013

Step-by-step explanation:

5 0
3 years ago
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