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3 years ago

Simplify the expression, write in standard and exponential form.

Mathematics

2 answers:

Wewaii [24]3 years ago

7 0

Expression simplified: 78125 x^7 y^14.

Standard form: 78125 x^7 y^14.

timama [110]3 years ago

5 0

Answer:

$(5x {y}^{2} ) ^{7} = {5x}^{7 } \times {x}^{7} \times {y}^{14} = {5x}^{14} {y}^{14}$

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-8= 3-5(x+6) solving algebraicaily

SOVA2 [1]

Let's solve your equation step by step

-8=3-5(x+6)

Step 1: simplify both sides of the equation

-8=3-5(x+6)

-8=3+(-5)(x)+(-5(6) (distribute)

-8=3+-5x+-30

-8=(-5x)+(3+-30) (combine like terms)

-8=-5x+-27

-8=-5x-27

Step 2: flip the equation

-5x-27=-8

Step 3: add 27 to both sides

-5x-27+27=-8+27

-5x=19

Step 4: Divide both sides by -5

-5x/-5 = 19/-5

Answer : x= -19/5

4 0

4 years ago

Read 2 more answers

In parallelogram ABCD, the measure of angle A=3x and the measure of angle B =x+10. What is the measure of angle D?

Alinara [238K]

Answer: 52.5

Step-by-step explanation: 2(3x+10)+2(x+10)=360 because all the sides of a rhombus equal 360 and alternate sides are equal

8x+20=360

-20=-20

8x/8=340/8

x=42.5

x+10. 42.5+10=52.5

D=52.5

4 0

3 years ago

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago

17 mm<br> 8 mm<br> 9 mm<br> 15 mm

OleMash [197]

Answer:

do you have to add the numbers together or multiply

4 0

3 years ago

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There are 12 signs of the zodiac. how many people must be in a group before you are guaranteed that at least 6 of them have the

IceJOKER [234]

2 people in a group i think

6 0

3 years ago