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quester [9]
3 years ago
15

Can someone please help me with this

Mathematics
1 answer:
alexdok [17]3 years ago
6 0

9514 1404 393

Answer:

  a) $3.45

  b) P(x) = 0.0003x -18

  c) $3.00, A

Step-by-step explanation:

a) When the family income is $71,500, it exceeds $70,000 by ...

  $71,500 -70,000 = $1500

Then the price of the child's lunch will be ...

  $3.00 + 0.0003×1500 = $3.45

__

b) For family income in the given range, the price of a lunch will be ...

  P(x) = 3.00 + 0.0003(x -70000) = 3.00 +0.0003x -21.00

  P(x) = 0.0003x -18.00

__

c) P(70000) = 0.0003×70000 -18 = 3×7-18 = 3.00

The definition of P(x) in part (b) tells you the meaning of this. x=70,000 is the family's annual income; P(x) is the price of a lunch.

  P(70,000) is the price of a lunch for a child whose family annual income is $70,000.

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The common ratio of a geometric series is 3 and the sum of the first 8 terms is 3280.
Pavlova-9 [17]

Answer:

The first term of the geometric series is 1

Step-by-step explanation:

In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.

Mathematically, the sum of terms in a geometric series can be calculated as;

S = a(r^n-1)/( r-1)

where a is the first term that we are looking for

r is the common ratio which is 3 according to the question

n is the number of terms which is 8

S is the sum of the number of terms which is 3280 according to the question

Plugging these values, we have

3280 = a(3^8 -1)/(3-1)

3280 = a( 6561-1)/2

3280 = a(6560)/2

3280 = 3280a

a = 3280/3280

a = 1

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3 years ago
What is galvanometer ???
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An instrument for detecting and measuring small electric currents
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Which expressions are equivalent when m = 1 and m = 4?
s344n2d4d5 [400]

Answer:

expression 2

Step-by-step explanation:

<h2><u>Which expressions are equivalent when m = 1 and m = 4?</u></h2>

<h3><u>first expression:</u></h3>

5m -3 and 2m + 5 + m

when m = 1

5(1) - 3 = 2  and 2(1) + 5 + 1 = 8

and m = 4

5(4) -3 =23 and  2(4) + 5 + 4 = 17

<u>expression 1 IS</u><u> NOT EQUIVALENT</u><u> </u>

<h3><u>second expression  :</u></h3>

3 m + 4 and m + 4 + 2 m

when m = 1

3 (1) + 4 = 7 and 1 + 4 +2 (1) = 7

and m = 4

3 (4) + 4 = 16 and 4 + 4 +2 (4) = 16

expression 2 <u>IS  EQUIVALENT </u>

<h3><u>third expression :</u></h3>

2 m + 7 and 3 m - 3 + m

when m = 1

2(1) + 7 = 9 and 3(1) -3 + 1 = 1

and m = 4

2(4) + 7 = 15  and 3(4) -3 + 4 = 13

expression 3 IS <u>NOT EQUIVALENT</u>

<h3><u>fourth expression :</u></h3>

5 m + 3 and 4 m + 2 + 2 m

when m = 1

5(1)+ 3 = 8  and 4(1) + 2 +2(1) = 8

and m = 4

5(4)+ 3 = 23  and 4(4) + 2 +2(4) = 26

expression 4 is <u>NOT EQUIVALENT </u>

the expression that is <u><em>EXPRESSION 2 </em></u>

8 0
3 years ago
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Answer:

y = 2x - 3

Step-by-step explanation:

y = mx + b

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m = (3-(-3))/(3-0)

m = 6/3

m = 2

y = mx + b

y = 2x + b

3 = 2(3) + b

3 = 6 + b

b = -3

therefore

y = 2x - 3

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3/4 and 7/8 are equivalent fractions.<br> true or false?
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False 3/4 is smaller than 7/8
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