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2 years ago

Expand the following expression by using distributive method. 3(4x+5y)

Mathematics

1 answer:

ad-work [718]2 years ago

6 0

Answer:

12x+15y is the answer you will get once you distribute.

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What is 720° converted to radians? 1/4 pi/4 4/pi 4(pi)

Natasha2012 [34]

The converted to radians is 4(pi)

7 0

2 years ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.

3 0

3 years ago

What is the value of x?

Softa [21]

X = 114.
If you look, the angles are the same, therefore, 114.

3 0

3 years ago

Read 2 more answers

A loan of $23,000 is made at 6.75% interest, compounded annually. After how many years will the amount due reach 36,000 or more?

maks197457 [2]

Answer:

after 9 years it would be 36,972.5

6 0

3 years ago

Use the Normal model N(98,15) for the IQs of sample participants. What IQ represents the 17th percentile? Use the appropriate

maxonik [38]

Answer:

=NORM.INV(0.17,98,15)

Step-by-step explanation:

Consider X represents the IQs of sample participants.

Then X follows the Normal Distribution with mean 98 and standard deviation 15.

That is,

$X \sim N(98,15)$

The probability value is 17th percentile (that is 0.17)

To find the value of X using Excel, the Inverse Normal Distribution is used.

The Excel function =NORM.INV(0.22,105,17) is used to find the IQs of sample participants.

7 0

3 years ago