if on January 1st 2015 you decided to read 1001 Nights over the next 1001 Nights on which date would you finally finish

Answers

Answer 1

Answer: Well, one year is 365 days, and a leap year is every 4 years with an extra day, making leap years 366 days. 2016 is the nearest leap year. So, We take 365 from 1001 to get 636 days. Now it is January 1st 2016. So, subtract 366 from 636 to get 270 days. It is now January 1st 2017. There are 31 days in December, 30 in November, and 31 in October. Adding these together, you get 92. Subtracting 92 from 365, we get 273. So three days before October 1st is when you end. There are 30 days in September, so taking three away gives us the night of the 27th of September, 2017. So, the date you finish, if staying on a schedule of reading a bit each night, would be the night of September 27th, 2017, which is a Wednesday.

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The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.
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Find the GCF of each expression. Then factor the expression. 25b^2 - 20b

Answers

Hello!

The prime factors of these two numbres are :

$25b^2 = 5^2* b^2\n 20b = 5* 2^2 * b$

The GCF can be calculated by multiplying common primes factors :
$5* b = 5b$

So the GCF is 5b and the expression can be factored this way :
$25b^2 - 20b = 5b* 5b - 4* 5b = 5b\left(5b-4\right)$

Divide 4 2/15 by 3.1.

Answers

Answer:

Step-by-step explanation:

4 2/15 / 3.1 = 1.33333333333

Exponential Form3.log 1/4 1=0
4.log 1/2 32= -5
Evaluate the logarithm
6. log27 3=
8. log 1/4 256=
9. log 10 .001=
10. log 64 2=

Answers

6. 1/3
8. -4
9. -3
10. 1/6

loga n=z ⇔a^z=n

Therefore:
3)log 1/4 1=0 ⇔(1/4)⁰=1
4)log 1/2 32 -5 ⇔(1/2)⁻⁵=2⁵=32

6)
log 27 3=n ⇔ 27^n=3
27=3³
(3³)^n=3 ⇒n=1/3 (3³)¹/³=3³/³=3¹=3

Answer: log 27 3=1/3

7)
log1/4 256=n ⇔(1/4)^n=256
256=2⁸=4⁴
(1/4)^n=4⁴ ⇒n=-4 [ (1/4)⁻⁴=4⁴=256 ]

Answer: log1/4 256=-4

9)
log 10 0.001=n ⇔ 10^n=0.001
0.001=10⁻³
10^n=10⁻³ ⇒n=-3

answer: log 10 0.001=-3

10)
log 64 2=n ⇔64^n=2
64=2⁶
(2⁶)^n=2 ⇒2(⁶n)=2¹ ⇒ 6n=1 ⇒ n=1/6

answer: log 64 2= 1/6

Log3 1/9=x/9 ? math is the worst

Answers

$log_3( (1)/(9) )= (x)/(9) \n\nlog_33^(-2)= (x)/(9) \n\n-2=(x)/(9) \ /\cdot9\n\n-18=x\n\nx=-18$

$log_3((1)/(9))=(x)/(9)\n \n log_33^(-2)=(x)/(9)\n \n 3^{(x)/(9)}=3^(-2)\n \n (x)/(9)=-2\n \n \boxed{x=-18}$

The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. find the measure of the angle.

Answers

The measure of the angle is 50°.

Supplementary Angle

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

Complementary Angle

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Let's assume that the angle is x.

The supplementary angle of x is (180°-x).

The complementary angle of x is (90°-x).

According to the question,

(180°-x) = 4(90°-x)-30°,

(180°-x) = 4(90°-x)-30°

180 - x = 360 - 4x - 30

4x - x = 360 - 30 -180

3x = 150

x = 50°

Hence, the measure of the angle is 50°.

Learn more about Supplementary and Complementary angles:

brainly.com/question/3027144

Please help with math!

Answers

The answer would be -13. There's a negative sign outside the brackets, which means that it's -13 even if simplified.

It should be positive 13 because the 2 negatives cancel each other out

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