Samantha's monthly electric bill dropped from $38.21 last month to $37.48 this month. Find the percent decrease. Round to the nearest whole percent.

Answer:

Exact Form:

1/22

Decimal Form:

0.045

Step-by-step explanation:

Answer:

I believe Alia because she read 2.5/3 of the book and Zarius only read 3/4 of the book altogether.

Step-by-step explanation:

Z; 4/8=1/2 or 2/4 +1/4=3/4

A: 1/2=3/6+2/6= 5/6 if you divide that by 2 then she read 2.5/3 of her book

in then end 3rds are greater then fourths

Answer:

x * c = c * x

Step-by-step explanation:

The commutative property of multiplication says that you can multiply in any order. Knowing that, to “Illustrate the commutative property of multiplication”, you simply have to flip-flop the order of x and c.

Hope this helps!

The value that each term can be multiplied by to eliminate the decimals in the equation is 4

The equation is given as

0.5x + 1 = 0.75x

Represent the terms as a fraction

So, we have

1/2x + 1 = 3/4x

The denominators in th​e above fractions are

2 and 4

The LCM of 2 and 4 is 4

Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 \(\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50\)

That's why above given choice is correct.

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

Answer:

0.5041 = 50.41% probability of getting 2 of the same colour

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability of getting 2 of the same colour?

Both blue or both red

Since they are replaced, we have, in each trial:

6 blue from a set of 6 + 5 = 11

5 red from a set of 6 + 5 = 11

Probability of both blue:

Each with 6/11 probability. So

\(P = (\frac{6}{11})^2 = \frac{36}{121}\)

Probability of both red:

Each with 5/11 probability. So

\(P = (\frac{5}{11})^2 = \frac{25}{121}\)

Total:

\(p = \frac{36}{121} + \frac{25}{121} = \frac{61}{121} = 0.5041\)

0.5041 = 50.41% probability of getting 2 of the same colour

Answer: 3 7/15

Step-by-step explanation: You first do 1 /5 plus 2/3.But they don't have the same denominator so you make it the same which you can make it to 15 so you make both denominator of   1/5 and 2/3. So 1 /5 change to 3/15 and 2/3 change to 10/15.Now add 3/15 to 10/15 which is 13/5.After that you do 4 times 13/5.But change 4 to a fraction to make it easy which is 4/1.Now multiply 4/1 by 13/5 which gives you 52/15 .Finally change 52/15 to a mixed number which is 3 7/15.

Hope it helps and look at pic below to see the steps :)

Explanation:

Basically a line goes on forever in both directions. A ray only goes off forever in one direction. If we glue together two rays that point in complete opposite directions (eg 1 points north, the other points south) then we form a line.

A line segment is a piece of a line. It doesn't go on forever in either direction. It has 2 endpoints and has a set fixed length. If you know the coordinates of each endpoint, you can use the distance formula to find that length.

Answer:

Step-by-step explanation:

To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.

Given:

Average daily balance for November = $700

Unpaid balance at the end of November = $1,400

Annual percentage rate (APR) = 15.6%

Step 1: Calculate the interest charged for the month of November.

Interest = (Average daily balance * APR * Number of days in the month) / 365

Number of days in November = 30

Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)

Step 2: Add the interest to the unpaid balance to get the total balance on December 1.

Total balance = Unpaid balance + Interest

Total balance = $1,400 + $36.44 = $1,436.44

Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).

The total balance on the next billing date December 1 is $1,509.20.

The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).

Given,

Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700

\(\sf = \$109.20\)

Balance on 1st December = unpaid balance at the end of November + percentage rate

\(\sf = $1400 +$109.20\)

\(\sf =\$1509.20\)

Therefore, the total balance on the next billing date December 1 is $1,509.20.

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Answer:

so basacilly the answer to all of the question is a

Step-by-step explanation: you welcome!

Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer:

y + 3 = 10/11(x + 3)

Step-by-step explanation:

Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:

\(m = \frac{y2 - y1}{x2 - x1}\)

Let (x1, y1) = (-3, -3)

(x2, y2) = (8, 7)

Substitute these values into the slope formula:

\(m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}\)

Thus, slope (m) = 10/11.

Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:

y - y1 = m(x - x1)

Let (x1, y1) = (-3, -3)

m = 10/11

y - y1 = m(x - x1)

y - (-3) = 10/11[x - (-3)]

Simplify:

y + 3 = 10/11(x + 3) this is the point-slope form.

Answer:

the answer is B because the 6 is multiplied by the -3 and the rot 5 is multiplied by root 2

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Answer:

inscribed angle

Step-by-step explanation:

That is an inscribed angle in a circle ....

Answer:

inscribed angle

Step-by-step explanation:

The vertex (point, corner) of the angle is ON the circle, this is an inscribed angle.

Answer:

working on a answer one second

Step-by-step explanation:

We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

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The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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we can cοnclude that the cοst οf hiring a musician has a linear relatiοnship with the number οf hοurs hired and the rate οf change οr slοpe is $35 per hοur.

In mathematics, slοpe is a measure οf steepness οf a line, οr a sectiοn οf a line, cοnnecting twο pοints.

Assuming a linear relatiοnship between the cοst and the number οf hοurs hired, we can use the infοrmatiοn given tο find the rate οf change οr slοpe.

Let's use the pοints (1,35) and (2,70) tο find the slοpe:

slοpe = (change in cοst) / (change in hοurs) = (70 - 35) / (2 - 1) = 35

This means that the cοst increases by $35 fοr each additiοnal hοur hired.

Tο check if this hοlds true fοr the third pοint, we can use the first and third pοints:

slοpe = (change in cοst) / (change in hοurs) = (105 - 35) / (3 - 1) = 35

Hence, we can cοnclude that the cοst οf hiring a musician has a linear relatiοnship with the number οf hοurs hired and the rate οf change οr slοpe is $35 per hοur.

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Answer:

y=1/2×2-1

Step-by-step explanation:

x2 – y = 0 yields a parabola.

y = x is straight but has a slope to make it increase/decrease.

2y = x2 yields a parabola.

x2 = 0 yields a parabola.

Answer:

C

Step-by-step explanation:

Edge2021

Answer:

\(P(win) = 0.4722\)

Step-by-step explanation:

Given

\(n = 36\) --- slots

\(Even = 17\) i.e. even numbers between 1 and 34 (inclusive)

Required

\(P(win)\)

The probabiity of winning is the number of even numbers divided by the total slot;

i.e.

\(P(win) = \frac{Even}{n}\)

So, we have:

\(P(win) = \frac{17}{36}\)

\(P(win) = 0.4722\)

Answer:

Step-by-step explanation:

g(6) = 3(6) + 3

      = 18+3

      = 21