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4 years ago

What is the explicit formula 0.5,-0.1,0.02,-0.004,0.0008

Mathematics

1 answer:

sweet-ann [11.9K]4 years ago

6 0

-0.1 / 0.5 = -0.2
0.02 / -0.1 = -0.2

common ratio = -0.2

Geometric Sequence

an = a1 r^(n-1)

an = 0.5 * -0.2^(n-1)

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Joy is planning to purchase a sweater that costs 30$ dollars at her local department store. The sweaters are on sale for for 20%

hichkok12 [17]

First we calculate 20% of the price:

20% of 30$ is 0.2*30$=6$.

Then we subtract 6$ (that is 20% of the price) from 30$, and get 24$.

Thus, the sale price is 24$

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4 years ago

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2x + 3 = 7 418 = -22a What are the VARIABLES in these two equations?

Anika [276]

Answer:

x=2

a=19

Step-by-step explanation:

2x+3=7

2x+3-3=7-3

2x=4

2x/2=4/2

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3 years ago

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How do you solve for a and b showing your work

Mariulka [41]

Answer:

a) 4

b) $\frac{1}{2} \sqrt{y^5}$

Step-by-step explanation:

PART A

Simplify the expression by solving out the square roots.

$\frac{\sqrt{16} \sqrt{p} }{\sqrt{p}}$ = $\frac{4 \sqrt{p} }{\sqrt{p}}$

You can cancel out the $\sqrt{p}$ on the top and bottom.

So, a should be 4.

PART B

Solve out the square root. The square root is pretty much the 1/2 power, so you can divide the exponents by half.

$\frac{\sqrt{y^{10}} }{\sqrt{4y^{5}} }$ = $\frac{y^{5}}{2y^{\frac{5}{2}} }$

You can subtract exponents to divide them. So the y variable becomes $y^{5 - 5/2}$ , or $y^{5/2}$ .

Then, the overall expression is $\frac{1}{2} y^{\frac{5}{2} }$ , or you can turn that into $\frac{1}{2} \sqrt{y^5}$ .

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4 years ago

madison withdrew $22 from her account on Thursday and then deposited $10 in her account on Friday. what integer represents the t

Tresset [83]

To find the integer that changes the account over the last two days:

As she withdrew $22,it would be -$22,and deposit of $10 would be +$10,which makes:

-22+10
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Therefore the total changes of her account is -12.

Hope it helps!

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3 years ago

Drag the tiles to the correct boxes to complete the pairs.

Ne4ueva [31]

Answer:

Part 1) $-1.25$ -------> $2.75/(-2.2)$

Part 2) $-4\frac{1}{3}$ --------> $(-2\frac{3}{5}) / (\frac{3}{5})$

Part 3) $\frac{2}{3}$ ------> $(-\frac{10}{17}) / (-\frac{15}{17})$

Part 4) $3$ ------> $(2\frac{1}{4}) / (\frac{3}{4})$

Step-by-step explanation:

Part 1) we have

$2.75/(-2.2)$

To calculate the division problem convert the decimal number to fraction number

$2.75=275/100\\ -2.2=-22/10$

$(275/100)/(-22/10)$

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)$

Simplify

Divide by 22 both numerator and denominator

$-(275)/(220)=-125/100=-1.25$

Part 2) we have

$(-2\frac{3}{5}) / (\frac{3}{5})$

To calculate the division problem convert the mixed number to an improper fraction

$(-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}$

$(-\frac{13}{5}) / (\frac{3}{5})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}$

Convert to mixed number

$-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}$

Part 3) we have

$(-\frac{10}{17}) / (-\frac{15}{17})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}$

Simplify

Divide by 5 both numerator and denominator

$\frac{10}{15}=\frac{2}{3}$

Part 4) we have

$(2\frac{1}{4}) / (\frac{3}{4})$

To calculate the division problem convert the mixed number to an improper fraction

$(2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}$

$(\frac{9}{4}) / (\frac{3}{4})$

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

$(\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3$

8 0

3 years ago