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2 years ago

Find the first, fourth, and eighth terms of the sequence. A(n) = –3 • 2^n–1

1 answer:

4 0

A(n) = –3 • 2⁽ⁿ⁻¹⁾

for n = 1 , A₁ = -3.(2)⁰ = -3
for n = 2 , A₂ = -3.(2)¹ = -6
for n = 3 , A₃ = -3.(2)² = -12
for n = 4 , A₄ = -3.(2)³ = -24
...........................................
for n = 8 , A₈ = -3.(2)⁷ = -384

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Complete the point-slope equation of the line through (-1,-10)(−1,−10)left parenthesis, minus, 1, comma, minus, 10, right parent

andreev551 [17]

Answer:

y+10 = 2(x+1)

Step-by-step explanation:

We have two points so we can find the slope

(−1,−10) and (5,2)

m = (y2-y1)/(x2-x1)

= (2- -10)/(5 - -1)

= (2+10)/(5+1)

= 12/6

The point slope form is

y-y1 = m(x-x1)

y - -10 = 2(x--1)

y+10 = 2(x+1)

If we use the other point

y -2 = 2(x-5)

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2 years ago

Read 2 more answers

Ariel incorrectly says that 2 5/8 is the same as 2.58

Nata [24]

Answer:

ariel is incorrect because 2 5/8 is equal to 2.63

Step-by-step explanation:

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2 years ago

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1. Keeping in mind the rules for significant digits, if we multiply 11.55 by 2.5, how many significant digits are we allowed to

kherson [118]

1. For multiplication and division), we first compare the number of significant figure (let's call it SF later in the problem) that the factors have. The product will have the least numbers between them. So, for the case of 11.55 x 2.5, 11.55 has 4 SF while 2.5 has 2. So we choose the smallest which is 2 for this case. Hence, the answer is B. 2. Using the same rules as mentioned in Item 1, we first compare the number of SF in the numbers give. 975.0321 has 7 SF while 0.0003 has 1 (all zeroes not following a counting number are not significant). We now solve for the quotient and round it off to 1 SF. (975.0321/0.0003) = 3250107. Rounding it off, we have 3000000 or 3 x 10⁶. Thus, the answer is D. 3. The rules for multiplication still apply even for more than two factors. So, let's first take note of the SF present in each factor as shown below. 0.00147 = 3 SF 8.314 = 4 SF 7.100 = 4 SF (zeroes after a counting number in the decimal place are considered significant) From this, we can see that the product must round off to 3 SF. Multiplying the three numbers, we have 0.00147 x 8.314 x 7.100 = 0.086773218 So, the product rounded off to 3 SF is 0.0868 or 8.68 x 10⁻². So, the answer must be C<span>. </span>

4 0

2 years ago

Edgar ran eee meters per second, and Mathieu ran mmm meters per second. The boys ran for ttt seconds.

Oksana_A [137]

Answer:

The expression showing how many more meters Mathieu ran than Edgar ran during that time is $t(m-e)$ .

Step-by-step explanation:

Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.

The expression $t(m-e)$ describes how many more meters Mathieu ran than Edgar ran during that time.

We can also use the expression $tm-te$ represent the same quantity.

We know that,

$\text{Distance} =\text{Speed}\times \text{Time}$

Distance covered by Edgar = te

Distance covered by Mathieu = tm

Difference in distance $d= tm - te=t(m-e)$

The expression showing how many more meters Mathieu ran than Edgar ran during that time is $t(m-e)$ .

7 0

2 years ago

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A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 88

LiRa [457]

Answer:

See explanation

Step-by-step explanation:

A 3rd degree binomial with a constant term of 8

A binomial expression is an expression which has only terms such as: x² + 5

The degree of a polynomial is the term with the highest exponent on its variable.

Example: the expression above x² + 5

The exponent of variable, x is 2

So, it is a 2nd degree polynomial

We also have 1st degree polynomial where the highest exponent on the variable is 1

3rd degree polynomial where the highest exponent on the variable is 3

A 3rd degree binomial with a constant term of 8

1. There must be a variable, let say x

2. The highest exponent on the variable must be 3

3. There must be a constant 8

4. The expression must have two terms only

It could be x² + 8 where the coefficient of x is 1

2x² + 8

3x² + 8

It could take any form as long as the highest exponent on the variable is 3 and there are just two terms

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2 years ago