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3 years ago

Convert these please

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

4 0

Answer:

22.18mL
147.42kg
---
637.14 lbs
15.22mL
--
104 oz
.12 g
45.44 lbs
3.59 pt
43,000 mg
105 tsp
2,271.25 mL
18tsp
4 pt
244.71 lbs
219.99 kgs
3.79 L
3.96 g
2,608.16 g
145.4 tbsp
99.22 g
4.38 g
10.57 pts
135.26 oz
1.73 L

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Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

andrew11 [14]

For this case we must simplify the following expression:

$-3 (x + 3) ^ 2-3 + 3x$

We solve the parenthesis:

$-3 (x ^ 2 + 2 (x) (3) + 3 ^ 2) -3 + 3x =\\-3 (x ^ 2 + 6x + 9) -3 + 3x =$

We apply distributive property to the terms within parentheses:

$-3x ^ 2-18x-27-3 + 3x =$

We add similar terms:

$-3x ^ 2-18x + 3x-27-3 =\\-3x ^ 2-15x-30$

Answer:

$-3x ^ 2-15x-30$

8 0

3 years ago

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Write down two distinct properties between euilateral and isosces triangles.

AlekseyPX

Answer:

At least two congruent sides

At least two congruent angles

At least one segment that is an angle bisector, while also being a median, while also being a perpendicular bisector, while also being an axis of symmetry.

Step-by-step explanation:

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14) A blizzard produced 9 - inches of snow. The

Arisa [49]

Answer:

2 3/8 in.

Step-by-step explanation:

$9\frac{1}{2}-7\frac{1}{8}\\\\9\frac{4}{8}-7\frac{1}{8}\\\\2\frac{3}{8}$

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3 years ago

What’s the answer???

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3 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 $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

3 0

3 years ago