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3 years ago

Please answer quick, in the picture)

Mathematics

2 answers:

mihalych1998 [28]3 years ago

7 0

Step-by-step explanation:

Given

$for \: a) \\ = \frac{ {x}^{8} }{ {x}^{2} } \\ = {x}^{8 - 2} \\ = {x}^{6} \\ now \: for \: b \:) \\ \frac{ {y}^{5} }{ {y}^{4} } \\ = {y}^{5 - 4} \\ = y$

Hope it will help :)

Amanda [17]3 years ago

4 0

A = x^6
b=y
when dividing powers, you minus them

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Use the distributive property then combine any like terms<br><br> 4(7p+4-2p)

ivolga24 [154]

Answer:20p+16

Step-by-step explanation:

Combine like terms

4(7p+4-2p)

4(5p+4)

Distribute

4(5p+4)

20p+16

7 0

3 years ago

Read 2 more answers

Find the next three terms in the pattern 9,4,-1,-6,-11 then describe the pattern

Yanka [14]

You would be subtracting by 5 so the next three would be -16, -21, -26

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3 years ago

To decrease an amount by 24% what single multiplier would you use

guapka [62]

100-24=76
76%=76/100=0.76
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5 0

3 years ago

GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED

Scrat [10]

Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5 /5
18 = y

Angle 1: 2y + 50
2(18) + 50
36 + 50
86

Angle 2: 3y + 40
3(18) + 40
54 + 40
94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
2 = 3x - 7
9 = 3x
/3 /3
3 = x

Side 1: 5x + 2
5(3) + 2
15 + 2
17

Side 2: 8x - 7
8(3) - 7
24 - 7
17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17

6 0

3 years ago

30 points!!<br> What is the sum of the first six terms of the series?<br> 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