in the month of june, the temperature in johannesburg, south africa, varies over the day in a periodic way that can be modeled approximately by a trigonometric function. the lowest temperature is usually around 3^\circ c3 ∘ c3, degrees, c, and the highest temperature is around 18^\circ c18 ∘ c18, degrees, c. the temperature is typically halfway between the daily high and daily low at both 10\text{ a.m.}10 a.m.10, start text, space, a, point, m, point, end text and 10\text{ p.m.}10 p.m.10, start text, space, p, point, m, point, end text, and the highest temperatures are in the afternoon. find the formula of the trigonometric function that models the temperature ttt in johannesburg ttt hours after midnight. define the function using radians. \qquad t(t)

Answer:

\(x=6\) and \(x=-4\)

Step-by-step explanation:

\(x^2-2x-24=0\)

\((x-6)(x+4)=0\)

\(x=6\) and \(x=-4\)

Answer:

\(x = \frac{25}{9}\)

Step-by-step explanation:

Divide both sides by 9 to isolate x:

\(\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\\)

Hope this helps!

Answer:

D

Step-by-step explanation:

The price of coat before the ale is $160

What is percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Frequently, it is indicated with the percent sign, "%". Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.

We are given that, the price of a coat is reduced by 25%.

And after the discount the price became $120

Hence 75% is equal to 120

Let the original price be x

Hence taking the ratio we get

75/100= 120/x

x= 120*100/75

x= 160

Hence the original price of the coat is $160

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Answer:

50 employees are members of the chorus

Step-by-step explanation:

Total number of chorus members = 70

ratio of students to employees = 2:5

This means that if the total number of employees were to be divided into 7 parts (2 + 5), 2 parts will be students while 5 parts will be employees. Now let us convert this fraction/ratio to numbers. This is done as follows:

students to employees = 2:5

∴ employees to students = 5:2

Total parts of employees and students = 5 + 2 = 7

∴ Number of employees

\(= \frac{5}{7}\ of\ 70\\= \frac{5}{7} \times \frac{70}{1}\\= \frac{350}{7} = 50\ members\)

∴ 50 members are employees, while the remaining 20 are students

100 same-day tickets were sold for the cost using equation.

To solve this problem, we can use a system of two equations with two variables. Let x be the number of advance tickets sold and y be the number of same-day tickets sold. Then we have:

x + y = 600   (equation 1: total number of tickets sold)
50x + 30y = 28000   (equation 2: total amount paid for tickets)

We can solve for x and y by using elimination or substitution. Here's one way to do it using substitution:
From equation 1, we have y = 600 - x. Substitute this into equation 2:

50x + 30(600 - x) = 28000

Simplify and solve for x:
50x + 18000 - 30x = 28000
20x = 10000
x = 500

So 500 advance tickets were sold. To find the number of same-day tickets, we can substitute x = 500 into equation 1:

500 + y = 600
y = 100

So 100 same-day tickets were sold.

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Answer:

Step-by-step explanation:

-9+3x<x+3

3x-x<3+9

2x<12

x<12/2

x<6

Answer:

\(5^{10} \cdot 5^{-7} = 5^3\)

\(\frac{5^{10}}{5^{-7}} = 5^{17}\)

Step-by-step explanation:

You have two equations:

\(5^a \cdot 5^b = 5^3\)

\(\frac{5^a}{5^b} = 5^{17}\)

But since

\(x^a \cdot x^b = x^{a+b}\)

you only need to solve a+b = 3 and a-b=17

Rewrite the second as a = 17+b and plug it into the first:

17+b + b = 3, then you find, 2b = -14, so b = -7.

Then a=3-b, so a = 10.

1) Three more than the quotient of sixteen and a number r

Quotient of sixteen and a number r is expressed as 16 / r

Three more than the quotient of 16 and r will be:

2) Five eights the difference of a number m and eleven

Difference of a number m and eleven can be expressed as m -11

Five eights the difference of a number m and eleven will be:

3) Sixty four less than the product of a number and ten.

Product of a number and ten

Let the number be m

Product of the number and ten = 10m

Sixty four less than the product of a number and ten will be:

4) The necklace n costs $200 more than twice the price if the earrings e.

Price of necklace = n

Price of earrings = e

Twice the price of the earrings = 2e

Necklace n costs $200 more than twice the price of the earrings e:

This can be expressed mathematically as:

Let A be the point (3,4). Then, the first transformation is a reflection over te x-axis, which can be found using the following expression:

in this case, we have:

the next transformation is a reflection over the y-axis, which has the following general rule:

then, applying this transformation,we get:

finally, the reflection over the line y = x has the following function:

then, we have:

therefore, the new coordinates after the transformations are (-4,-3)

Answer:

y= 10

Step-by-step explanation:

hope this helps !

Answer:

The answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you see where the red line ends on the right side it is at 170 on the protractor

3(-5)+4(6)<=10

(3*-5)+(4*6)<=10

(15)+(24)<=10

39<=10 N

3(2)+4(-1)<=10

(6)+(-4)<=10

2<=10 Y

3(-1)+4(4)<=10

-3+16<=10

13<=10 N

3(4)+4(0)<=10

12+0<=10 N

3(-3)+4(4)<=10

-9+16<=10

7<=10 Y

here ya go bud, im doing the same thing lol

The ordered pairs make the open sentence true values are  (2, -1), (-3, 4), and (-5, 6).

To determine which ordered pairs make the open sentence 3x + 4y ≤ 10 true, to substitute the values of x and y from each ordered pair into the inequality and check if the inequality holds.

Let's go through each ordered pair:

(4, 0):

3(4) + 4(0) = 12 + 0 = 12

12 ≤ 10 (False)

(2, -1):

3(2) + 4(-1) = 6 - 4 = 2

2 ≤ 10 (True)

(-1, 4):

3(-1) + 4(4) = -3 + 16 = 13

13 ≤ 10 (False)

(-3, 4):

3(-3) + 4(4) = -9 + 16 = 7

7 ≤ 10 (True)

(-5, 6):

3(-5) + 4(6) = -15 + 24 = 9

9 ≤ 10 (True)

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In a Stock Dividend Assets don't change, Liabilities don't change.

In a stock dividend scenario, where a company issues additional shares of its own stock to existing shareholders, the impact on the company's balance sheet is as follows:

Assets don't change, Liabilities don't change.

When a company declares a stock dividend, it is essentially distributing a portion of its retained earnings or accumulated profits to its shareholders in the form of additional shares. This means that the company is not receiving any new assets or incurring any new liabilities in the process.

From an accounting perspective, the value of the stock dividend is reflected in the equity section of the balance sheet. The retained earnings account decreases by the value of the dividend, while the common stock or additional paid-in capital account increases by the same value. This adjustment does not affect the company's assets or liabilities.

Therefore, the correct answer is: Assets don't change, Liabilities don't change.

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The random circumstance in this case is whether or not a flight from one of the top 18 U.S. airlines arrives on time. Let's denote this random circumstance as "A." The associated probability, given that 77.6% of flights arrived on time, can be represented as P(A) = 0.776 or 77.6%.

Let's clarify the representation of the random circumstance and associated probability based on the given information.

The random circumstance in this case is whether or not a flight from one of the top 18 U.S. airlines arrives on time. Let's denote this random circumstance as event "A." The associated probability, given that 77.6% of flights arrived on time, can be represented as P(A) = 0.776 or 77.6%.

To explain in more detail, let's consider a large sample of domestic flights flown by the top 18 U.S. airlines in January of that certain year. Each flight in this sample can be seen as a random trial, where the outcome is whether the flight arrives on time or not.

In this context, event A represents the specific outcome of a flight arriving on time, and the complementary event, denoted as event "A'", represents the outcome of a flight being delayed or not arriving on time.

The given information states that 77.6% of domestic flights arrived on time. Therefore, the associated probability P(A) represents the probability of a flight from one of the top 18 U.S. airlines being on time, and it is equal to 0.776 or 77.6%.

It's important to note that this probability represents an average value based on historical data and may vary from month to month or between different airlines. Additionally, this probability assumes that each flight's on-time performance is independent of the others, which may not always hold true in practice.

Overall, the random circumstance "A" refers to a flight from one of the top 18 U.S. airlines arriving on time, and the associated probability P(A) represents the likelihood of this occurrence based on the given information.

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Answer:

x = ± 2

Step-by-step explanation:

Given

x² + 5 = 3x² - 3 ( subtract x² + 5 from both sides )

0 = 2x² - 8 ( add 8 to both sides )

8 = 2x² ( divide both sides by 2 )

4 = x² ( take the square root of both sides )

x = ± \(\sqrt{4}\) = ± 2

Answer:

C ≈ 47.12389

Step-by-step explanation:

C = 2πr

r = 15/2

r = 7.5

C = 2π7.5

Answer:

Step-by-step explanation:

4.25+2.25=6.50 per person

6.50*2 people= 13.00

13.00*5% tax=0.65 tax

13.00+.65= 13.65

Answer:

Step-by-step explanation:

4.25 x 2 + 2.25 x 2 = 13

Convert 5% into a decimal ( 0.05)

0.05 x 13 = 0.65

0.65 + 13 equals 13.65

Answer:

$250.00

Step-by-step explanation:

twenty $1 bills- 20 x 1 = 20

six $5 bills- 6 x 5 = 30

four $10 bills- 4 x 10 = 40

five $20 bills- 5 x 20 = 100

thirty $1 bills- 30 x 1 = 30

four $5 bills- 4 x 5 = 20

five $10 bills- 5 x 10 = 50

one $20 bill- 1 x 20 = 20

Add the bold totals together and get the final answer of $250.00

Step-by-step explanation:

Number of socks: 3+4+5= 12

Number of red socks= 4

Red socks/other socks= 4/12

Simplify: fraction: 1/3

percentage: 33.33%

decimal: 0.3333

Answer:

it's the last option

Step-by-step explanation:

mark me brainliest

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

\(\boxed{\sf B. \ 0}\)

Step-by-step explanation:

\(\sf 7(x + 2) = 7x-10\)

Expand brackets.

\(\sf 7x+14 = 7x-10\)

Subtract 7x and 14 from both sides.

\(\sf 7x+14 -7x-14= 7x-10-7x-14\)

\(\sf 0=-24\)

There are 0 solutions.

Answer: .B.

Step-by-step explanation

Answer:

Im in 6th grade i'm going to ask my parents if they can solve this good luck and if you can subscribe to amiredagoat yt i think i'm going to an impact on the world

Step-by-step explanation:

Answer:

x-5y=5 that's the answer

Answer:

The answer is D all of the above

Step-by-step explanation:

Being spiritually well means to be clean and pure thus meaning having inner peace, participating in self nurturing activities and being respectful of others.

In her presentation, Alaina can use a pie chart to show information about how the typical college student spends their day.

A circular chart that has been divided into sectors or "pie slices" to represent numerical proportions is known as a pie chart. Each pie slice symbolises a percentage, and each slice's size is proportional to the percentage it represents.

In this instance, Alaina can separate the pie chart into four segments that stand in for the various activities that college students engage in throughout the day: sleeping, attending classes, studying, and participating in extracurricular activities. She can give each slice a unique colour and a label indicating the proportion it represents.

The pie chart, for instance, might have the following slices:

-30% of people are sleeping (blue).

- 20% of the class (in green)

20% of study time (coloured)

30% of time for socializing

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