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Sphinxa [80]
4 years ago
14

In general, when a number written in scientific notation includes a positive exponent, the magnitude of the number is __________

.
A. negative
B. positive
C. less than one
D. greater than one
Mathematics
2 answers:
Masteriza [31]4 years ago
8 0
Scientific notation is als<span>o </span>called power-of-10 notation, is a method of writing extremely large and small numbers.

when a number written in scientific notation includes a positive exponent, the magnitude of the number is <span>greater than one</span>
QveST [7]4 years ago
5 0

Answer:

d. Greater than one

Step-by-step explanation:

Scientific Notation is a way to represent very large or very less real number into easier way so that we may able to use them into our calculations.

It consist of two part  a part containing the real number in decimals and the other part which is multiplied to the first part is in the form of 10 raise to some power. this exponent can be either positive or negative If it is positive the complete number is greater than one and if the exponent is negative the number is less than one.

Ex:

12123456789 = 1.2 x 10^{10}

0.000000000345 = 3.45 x 10^{10}

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Juli2301 [7.4K]
It would be a 27% chance

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3 years ago
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The mean of four numbers is 6. Three of them are 3.4,10.7and 7.8. what is the fourth number?​
Marianna [84]

Answer:

2.1

Step-by-step explanation:

Use the equation

Sum of elements = average x number of elements

sum = (6)(4)

sum = 24

Add up the numbers we know: 3.4 + 10.7 + 7.8 = 21.9

24 - 21.9 = 2.1

This means the fourth number is 2.1

8 0
3 years ago
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If pqr= 1 show that 1/(1+p+q^-1)+1/(1+q+r^-1)+1/(1+r+p^-1) = 1.<br>​
mariarad [96]

Answer:

1

Step-by-step explanation:

1/(1+p+q^-1)+1/(1+q+r^-1)+1/(1+r+p^-1) = 1.

7 0
3 years ago
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PLEASE HELP
stira [4]

Answer:

The values of x and y are x = 3 and y = 11

Step-by-step explanation:

The isosceles triangle has two equal sides in length, and its base angles are equal in measures

In ΔJKL

∵ ΔJKL is an isosceles triangle with vertex K

→ That means the equal sides are JK and KL

∴ JK = KL

∵ JK = 8x and KL = 13x - 15

→ Equate them

∴ 13x - 15 = 8x

→ Add 15 to both sides

∵ 13x - 15 + 15 = 8x + 15

∴ 13x = 8x + 15

→ Subtract 8x from both sides

∵ 13x - 8x = 8x - 8x + 15

∴ 5x = 15

→ Divide both sides by 5 to find x

∴ x = 3

∵ K is the vertex of the ΔJKL

∴ ∠KJL and ∠KLJ are the base angles

∵ The base angles are equal in measures

∴ m∠KJL = m∠KLJ

∵ m∠KJL = 5y - 3

∴ m∠KLJ = 5y - 3

∵ The sum of the measures of the angles of a Δ is 180°

∴ m∠KJL + m∠KLJ + m∠JKL = 180°

∵ m∠JKL = 76°

→ Substitute the measures of the 3 angles in the equation

∴ 5y - 3 + 5y - 3 + 76 = 180

→ Add the like terms on the left side

∵ (5y + 5y) + (76 - 3 - 3) = 180

∴10y + 70 =180

→ Subtract 70 from both sides

∵ 10y + 70 - 70 = 180 - 70

∴ 10y = 110

→ Divide both sides by 10 to find y

∴ y = 11

∴ The values of x and y are x = 3 and y = 11

5 0
3 years ago
For the following telescoping series, find a formula for the nth term of the sequence of partial sums
gtnhenbr [62]

I'm guessing the sum is supposed to be

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}

Split the summand into partial fractions:

\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}

1=a(5k+4)+b(5k-1)

If k=-\frac45, then

1=b(-4-1)\implies b=-\frac15

If k=\frac15, then

1=a(1+4)\implies a=\frac15

This means

\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}

Consider the nth partial sum of the series:

S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)

The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

7 0
3 years ago
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