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Aleonysh [2.5K]
3 years ago
8

C(1)=3/16 c(n) = c( n - 1 )• 4 what is the 3rd term in the sequence ?

Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

3

Step-by-step explanation:

Substitute n = 2, 3 into c(n) to obtain third term

c(2) = c(2 - 1) × 4 = c(1) × 4 = \frac{3}{16} × 4 = \frac{3}{4}

c(3) = c(3 - 1) × 4 = c(2) × 4 = \frac{3}{4} × 4 = 3

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Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75.percent f
irinina [24]

Answer:

33%

Step-by-step explanation:

Assuming the weight of the mixture to be 100g**, then the weight of ryegrass in the mixture would be 30g.

Also, assume the weight mixture X used in the mixture is Xg, then the weight of mixture Y used in the mixture would be (100-X)g.

So we can now equate the parts of the ryegrass in the mixture as:

0.4X + 0.25(100-X) = 30

<=> 0.4X + 25 - 0.25X = 30

<=> 0.15X = 5

<=> X = 5/0.15 = 500/15 = 100/3

So the weight of mixture X as a percentage of the weight of the mixture

= (weight of X/weight of mixture) * 100%

= (100/3)/100 * 100%

= 33%

3 0
4 years ago
What is an equation of the line that passes through the point
Keith_Richards [23]

Answer:

5x - 4y = 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 4y = 36 ( subtract 5x from both sides )

- 4y = - 5x + 36 ( divide all terms by - 4 )

y = \frac{5}{4} x - 9 ← in slope- intercept form

with slope m = \frac{5}{4}

Parallel lines have equal slopes, thus

y = \frac{5}{4} x + c ← is the partial equation

To find c substitute (8, 2) into the partial equation

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = \frac{5}{4} x - 8 ← in slope- intercept form

Multiply through by 4

4y = 5x - 32 ( subtract 4y from both sides )

0 = 5x - 4y - 32 ( add 32 to both sides )

32 = 5x - 4y, that is

5x - 4y = 32 ← in standard form

4 0
3 years ago
Read 2 more answers
Which expression shows how to find the quotient of 4.8÷2?
xenn [34]

Answer:

[A] (4 ÷ 2)+(0.8 ÷ 2)

Step-by-step explanation:

Divide the 2 into each digit, which must be in the same spot it was before:

Knowing that 8 in 4.8 ⇒ 0.8

Thus, you can infer that [B] is wrong

You also infer that [D]  and [C] is wrong because 4 is a whole number.

Thus, that left us with [A] 4 ÷ 2+0.8 ÷ 2 which shows the quotient of 4.8 ÷ 2

Hence, [A] 4 ÷ 2+0.8 ÷ 2 is the answer.

<em>~Learn with Lenvy~</em>

5 0
2 years ago
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Which of the binomials below is a factor of this trinomial? URGENT!!!
dangina [55]

Answer:

C

Step-by-step explanation:

10×-28=-280

35-8=27

35×(-8)=-280

10x²+27x-28

=10x²+(35-8) x-28

=10x²+35x-8x-28

=5x(2x+7)-4(2x+7)

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5 0
4 years ago
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7-^3<br> Simplify this expression. Use 7 as the base.
katen-ka-za [31]
Hopefully this photo helps

7 0
3 years ago
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