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3 years ago

Solve the followingequation and check your answer

Mathematics

2 answers:

suter [353]3 years ago

7 0

Answer:

use the app socratic to find the answer

Travka [436]3 years ago

5 0

Answer:

8/9

Step-by-step explanation:

5a-3=a/2+1

2(5a-3)=a+2

10a-6=a+2

10-a=6+2

9a/9=8/9

a=8/9

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Romashka [77]

Answer:

its 375

Step-by-step explanation:

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3 years ago

Read 2 more answers

30 points!! What is the sum of the first six terms of the series? 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

6. If ACDE - AFGE, find the value of x.

andrew-mc [135]

Answer:

x=cfdg

Step-by-step explanation:

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3 years ago

Mary says the pen for her horse is an acute right angle triangle is this possible explain

slavikrds [6]

An acute triangle is triangle that's less than 90 degree angle and a right triangle is exactly 90 degree angle so

the answer is no, it is not possible

8 0

3 years ago

Using compatible numbers, which is the best estimate of (28.5)(7.1)? 36 40 210 300

kifflom [539]

Answer:

210

Step-by-step explanation:

29*7 = 203, 203 is the closest number to 210!

7 0

3 years ago

Solve the followingequation and check your answer​

Solve the followingequation and check your answer