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GenaCL600 [577]
3 years ago
8

I need help REALLY quickly PLEASE!!!!

Mathematics
2 answers:
qaws [65]3 years ago
5 0
14/8 which equals 7/4
aalyn [17]3 years ago
5 0
8/14 = 4/7

dilated by a factor of 4/7<span />
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Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.
creativ13 [48]

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

8 0
3 years ago
5. Juliet has swimming lessons every 5th day and dance lessons every 3rd day. If she
meriva

Hope this helps!

C. October 15

3 0
3 years ago
A "normal" temperature for a certain animal is 88.3 degree F. lf temperature x that differs from the normal by at least 1.6 degr
MAVERICK [17]

Answer:

unhealthy would be 106 degrees

Step-by-step explanation:

5 0
3 years ago
Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9
Tomtit [17]

Step 1

Given;

\begin{gathered} y=\frac{1}{8}x-9 \\ with\text{ points \lparen1,-6\rparen} \end{gathered}

Required; Find the equation of a line that goes through the point ( 1,- 6 ) and is perpendicular to the line: y = (1 / 8)x - 9

Step 2

For perpendicular lines, the relationship between the slopes is;

m_1=-\frac{1}{m_2}\begin{gathered} m_1=\frac{1}{8} \\ \frac{1}{8}=-\frac{1}{m_2} \\ m_2=-8 \end{gathered}

The y-intercept is found thus;

\begin{gathered} y=-8x+b \\ b=y-intercept \\ y=-6 \\ x=1 \\ -6=-8(1)+b \\ b=-6+8=2 \end{gathered}

Answer; The required equation will be;

y=-8x+2

4 0
1 year ago
1
olganol [36]

Answer:Thomas Edison was an amazing inventor.

Step-by-step explanation:

the best option and got 100

8 0
3 years ago
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