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3 years ago

Solve the equation 8·4^x+1=1

Mathematics

1 answer:

stepladder [879]3 years ago

4 0

Answer:

See work below

Step-by-step explanation:

$8(4^x)+1=1$

$9(4^x)=1$

$-9$ $-9$

$(4^x)=-8$

$/-8$ $/-8$

And this is where I'm stuck, can someone help me finish?

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5. If W(-10, 4), X(-3,-1), and Y(-5, 11) classify AWXY by its sides. Show all work to justify your

Ierofanga [76]

Answer:

an isosceles right triangle

Step-by-step explanation:

The square of the length of a side can be found from the distance formula:

d^2 = (x2-x1)^2 +(y2-y1)^2

The square of the length of WX is ...

WX^2 = (-3-(-10))^2 +(-1-4)^2 = 49+25 = 74

The square of the length of XY is ...

XY^2 = (-5-(-3))^2 +(11-(-1))^2 = 4 +144 = 148

The square of the length of YW is ...

YW^2 = (-10-(-5))^2 +(4 -11)^2 = 25 +49 = 74

The sum of the squares of the short sides is equal to the square of the long side, so this is a right triangle. The squares of the short sides are equal, so this is an isosceles right triangle.

3 0

3 years ago

Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest at the end of the year

MAVERICK [17]

Answer: he invested $5300 at 11% and $1000 at 6%

Step-by-step explanation:

Let x represent the amount which he invested in the first account paying 11% interest.

Let y represent the amount which he invested in the second account paying 6% interest.

He Invest $6,300 in two different accounts the first account paid 11% the second account paid 6% in interest. This means that

x + y = 6300

The formula for determining simple interest is expressed as

I = PRT/100

Considering the first account paying 11% interest,

P = $x

T = 1 year

R = 11℅

I = (x × 11 × 1)/100 = 0.11x

Considering the second account paying 6% interest,

P = $y

T = 1 year

R = 6℅

I = (y × 6 × 1)/100 = 0.06y

At the end of the year, he had earned $643 in interest , it means that

0.11x + 0.06y = 643 - - - - - - - - - -1

Substituting x = 6300 - y into equation 1, it becomes

0.11(6300 - y) + 0.06y = 643

693 - 0.11y + 0.06y = 643

- 0.11y + 0.06y = 643 - 693

- 0.05y = - 50

y = - 50/ - 0.05

y = 1000

x = 6300 - y = 6300 - 1000

x = 5300

7 0

3 years ago

Write the numbers in order from greatest to least. 7.982, 7.981, 8.782, 8.981

ziro4ka [17]

Answer:

Step-by-step explanation:

To order decimals is to subtract, line up, and comparing digits.

Comparing digits is a good way to order decimals for greatest to least.

(Most Understood.)

<h3>Comparing Decimals:</h3><h3 />

We could put numbers in any order to compare digits, but you should look closely:

Numbers can<u> Trick You.</u>
<u>Be wise, look closely.</u>
<u>If the digit is 0 for a number, the other number is greater if it's not 0.</u>

Lastly, <u>you (cannot) multiply, divide, add, or subtract.</u>

__________________________________________

First, we pick 2 numbers to compare, maybe 8.782 and 8.981.

We look at the digits for both numbers.

We see 8's, And 7 and 9, 9 is greater, so 8.<u>9</u>81 is the greatest and 8.<u>7</u>82 is the 2nd greatest.

<h3>8.981, 8.782, ?.???, ?.??? Is Our Order so far.</h3>

Our last 2 numbers are 7.981 and 7.982,

We look at the digits for both numbers.

We see 7's, we see 9's, and we see 8's, but 1 and 2. 2 is greater so 7.98<u>2</u> is the 3rd greatest and 7.98<u>1</u> is the least.

<h3>Our order is: 8.981, 8.782, 7.982, 7.981.</h3><h3>We checked it by comparing wisely. (√ Means Check)</h3>

Best of Luck to you.

If you have any questions, feel free to comment below.

-Also if anything is confusing!!

7 0

3 years ago

Mr.Clark takes 25 minutes to brush his teeth. Mrs. Clark spends

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

25 times 1.2= 30

8 0

3 years ago

Read 2 more answers

Please help :) it would be cool if you helped

kifflom [539]

Answer:

Ummm

Step-by-step explanation:

So what do you need help with?

6 0

3 years ago

Solve the equation 8·4^x+1=1​

Solve the equation 8·4^x+1=1