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Mrac [35]
4 years ago
10

Solve this equation. −56e−23e=−24

Mathematics
2 answers:
SVETLANKA909090 [29]4 years ago
7 0

Answer: -79e = -24

Step-by-step explanation:

-23 + - 56e = -79e

This is the furthest we can go in this equation.

Anna71 [15]4 years ago
3 0

Answer:

The value of e is 24/79

Step-by-step explanation:

Given the equation -56e-23e = -24

To solve the equation, we will have to find the value of e in the equation that will make both sides equal.

Step 1: we will have to factor out the minus e (-e) sign from left hand side of the equation to have;

-e(56+23) = -24

Step 2: adding the values I'm the bracket and cancelling out the minus sign from both sides, the equation will reduce to;

79e = 24

Step 3: we will divide both sides by the coefficient of e which is 79 to have;

79e/79 = 24/79

e = 24/79

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What is the sum of the arithmetic sequence 3, 9, 15..., if there are 24 terms? (5 points)
Vinil7 [7]

There's a fixed difference of 6 between terms (9 - 3 = 6, 15 - 9 = 6, and so on). The first term of the sequence is 3, so the n-th term is

3 + 6(n-1) = 6n - 3

If there are 24 terms in the sum, then the last term is 6×23 - 3 = 135.

Let S be the sum,

S = 3 + 9 + 15 + \cdots + 123 + 129 + 135

Reverse the order of terms:

S = 135 + 129 + 123 + \cdots + 15 + 9 + 3

If we add up the terms in the same positions, we get twice S on the left side, while on the right side we observe that each pair of terms will sum to 138.

S + S = (3 + 135) + (9 + 129) + (15 + 123) + \cdots + (135 + 3)

2S = 138 + 138 + 138 + \cdots + 138

and since there are 24 terms in the sum, the right side is the sum of 24 copies of 138. In other words,

2S = 24 \times 138

and solving for S gives

S = \dfrac{24\times138}2 = \boxed{1656}

3 0
2 years ago
Choose all the answers that apply. Which of the following is an example of an ion? Ar Na+ F+ Cl-
lesya692 [45]

Answer:

Na+ and Cl- should be examples of an ion.

<Hope I answered your question>

7 0
3 years ago
Read 2 more answers
Two of the volleyball team’s coaches and three of the players’ parents would like to
larisa [96]

Answer:

5x < 30

Step-by-step explanation:

coaches = 2x

parents = 3x

total time = under 30 mins

2x + 3x < 30

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x < 6

4 0
3 years ago
Find the value of x.
melomori [17]

Answer:

The measure of angle x is 40°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs which comprises

see the attached figure with letters to better understand the problem

so

m∠x=(1/2)[arc AB-arc AC]

<u><em>Find the measure of arc AC</em></u>

we know that

arc AB+arc BC+arc AC=360° ----> by complete circle

substitute the given values

arc AB=200°

arc BC=40°

arc AC=?

200°+40°+arc AC=360°

240°+arc AC=360°

arc AC=360°-240°=120°

<u><em>Find the measure of angle x</em></u>

m∠x=(1/2)[200°-120°]=40°

7 0
4 years ago
Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
DiKsa [7]

Answer: Around 68.0858 m

Step-by-step explanation:

  • Set the height of 37°-53°-90° triangle as x
  • Set the height of 50°-40°-90° triangle as y
  • The horizontal side both triangles share = 35

To find x                            To find y  

tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...                     tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...

To find the height of the building, add the x-value and y-value:

x+y=26.3744+41.7114=68.0858  

<em>I hope this is correct o_o</em>

7 0
4 years ago
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