Write on expression in symbols for each ward phrase. Let n be the input. To find a difference or quotient,
write the numbers in the order in which they are stated.
The product of five and half the input

Answer:

?

Step-by-step explanation:

Answer:

$9200

Step-by-step explanation:

Given :

Working backwards :

Amount left before last $200 winning = $1200 - $200 = $1000

Amount had before 4th bet loss : $1000 * 2 = $2000

Amount lost on third bet loss = $300

Total amount had before 2nd bet loss = $(2000 + 300) = $2300

Amount had before second loss = 2 * 2300 = $4600

Amount had before first bet loss = $4600 * 2 = $9200

Hence, amount had before starting to lose games is $9200

Answer: C > $6

Step-by-step explanation:

C is greater than (but not equal to) $6

C > $6

Answer: x=3

Step-by-step explanation: you can rewrite -(3x-9) as -1*(3x-9). as the negative sign is the same as -1. Now if you distribute you get -3x+9. then set this equation equal to zero and subtract 9 from both sides and you'll get -3x=-9. next divide both sides by -3 and you should get the answer x=3.

-(3x-9)

-1*(3x-9)

-3x-9=0

-3x=-9

x=3

Answer:

It is a cord

Step-by-step explanation:

i just took the quiz and got it right :)

Answer:

D. arc

Step-by-step explanation:

everyone keeps saying its "chord" but I tried that and I got it wrong...

The total distance driven during the 4-hour trip is approximately 294.05 miles

An element of a number or any number of equal pieces is represented by a fraction. There is a fraction with an upper value (numerator) and a lower value (denominator) (lower value).

We must sum up the distances for each hour of the 4-hour journey to get the overall mileage.

1 hour's worth of driving covered 55.25 miles.

64 3/4 miles were covered in Hour 2 of driving.

52 3/10 miles were covered in Hour 3 of driving.

67.89 miles were covered in Hour 4 of driving.

We must transform the mixed number from Hour 2 into an improper fraction in order to sum these distances:

Driving distance in hour two: 64 3/4 = (4 x 64 + 3) / 4 = 259 / 4

We can now calculate the distances:

55.25 + 259/4 + 52.3 + 67.89

We need to find a common denominator so that we can add these numbers:

55.25 = 221/4

259/4 = 259/4

52.3 = 523/10

67.89 = 6789/100

We may now multiply the fractions:

221/4 + 259/4 + 523/10 + 6789/100 = 5881/20

5881/20 = 294 1/20 is the result of converting this improper fraction to a mixed number.

As a result, the 4-hour trip's total mileage came to about 294.05 miles.

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Answer:

that person above me is correct give me brainiest to troll them tho lol

Step-by-step explanation:

Answer:

There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.

Step-by-step explanation:

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

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The probability of picking an ace of hearts from a standard deck of playing cards is 1/52.

Consider a standard deck of cards.

We know that a standard deck of cards contains 52 cards.

So, total number of cards in the standard deck of cards = 52 cards

Now, we have to assume that there are no jokers in the set of cards.

We have to find the probability of picking an ace of hearts from a standard deck of playing cards.

For that we need to first find the number of cards which are ace of hearts.

Number of cards which are ace of hearts = 1

Probability of picking an ace of hearts from a standard deck of playing cards is,

P = Number of ace of hearts / Total number of cards

  = 1/52

Hence the probability is 1/52.

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Answer: need more of an explanation

Step-by-step explanation:

Answer:

26 in.

Step-by-step explanation:

Since angles A and C are congruent, sides BC and BA are congruent.

7x - 13 = x + 29

6x = 42

x = 7

AC = 3x + 5

AC = 3(7) + 5

AC = 21 + 5

AC = 26

Answer: 26 in.

The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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Answer:

If each tile has a number from 0 thru 9 then the possible outcomes for each tile are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

The correct equation is P = (a x b) ÷ 43, 560

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an agricultural research assistant, you often need to calculate the amount of pesticide needed for test fields.

For each acre, b pounds of pesticide are required.

1 acre = 43,560 ft²

Pesticide needed for each acre = b / 43,560

Pesticide needed for the given area = 43,560 (a x b)

Therefore,

P = 43,560 (a x b)

Hence, the correct equation is P = (a x b) ÷ 43, 560

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Answer:

P ( x < 5050.5 ) ≈ 0.16104

Step-by-step explanation:

Total number of voters ( n ) = 10000

Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %

Candidate D eventually wins with 51% of the votes

winning ( p ) = 0.51

Applying continuity correction formula

P ( x < 5050.5 ) ≈ 0.16104

attached below is the remaining part of the solution

Solution

Analysis: According to the problem, we want to determine if a mean number is greater than 11 hours. If we check the sample, we have mean=11.3 hours.

Answer:

(a) \(\frac{dy}{dt}=k\left ( 700000-y(t) \right )\)

(b) \(y(t)=700000-700000e^{\frac{1}{9}\ln \left ( \frac{1}{2} \right )t}\)

Step-by-step explanation:

Given: News spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who have not heard the news.

To find:

(a) a differential equation

(b) number of people who have heard the news after t days

Solution:

(a)

Total number of people in a city = 700000

As y(t) denotes the number of people who have heard the news t days after it has happened

Number of people who have not heard the news = 700000 - y(t)

So, differential equation is \(\frac{dy}{dt}=k\left ( 700000-y(t) \right )\)

Here, k is the proportionality constant.

(b)

Integrate both sides of the differential equation.

\(\frac{dy}{dt}=k\left ( 700000-y(t) \right )\\\int \frac{dy}{\left ( 700000-y(t) \right )}=\int k\,dt\\ln\left ( 700000-y \right )=kt+C\,\,\left \{ \because \int \frac{dy}{y}=\ln y+C \right \}\)

Use \(y(0)=0\)

\(ln\left ( 700000-y \right )=kt+C\\\ln (700000)=C\\\Rightarrow ln\left ( 700000-y \right )=kt+\ln (700000)\)

As a poll showed that 350000 people have heard the news 9 days after a scandal in City Hall was reported,  \(y(9)=350000\)

\(ln\left ( 700000-y \right )=kt+\ln (70000)\\ln\left ( 700000-350000 \right )=kt+\ln (700000)\\\ln (350000)=9k+\ln (700000)\\9k=\ln (350000)-\ln (700000)\\\)

\(9k=\ln \left ( \frac{350000}{700000} \right )\\9k=\ln \left ( \frac{1}{2} \right )\\k=\frac{1}{9}\ln \left ( \frac{1}{2} \right )\\ln\left ( 700000-y \right )=\frac{1}{9}\ln \left ( \frac{1}{2} \right )t+\ln (700000)\\ln\left ( 700000-y \right )-\ln (700000)=\frac{1}{9}\ln \left ( \frac{1}{2} \right )t\\\)

\(\ln \left ( \frac{700000-y }{700000} \right )=\frac{1}{9}\ln \left ( \frac{1}{2} \right )t\\ \frac{700000-y }{700000}=e^{\frac{1}{9}\ln \left ( \frac{1}{2} \right )t}\\700000-y=700000e^{\frac{1}{9}\ln \left ( \frac{1}{2} \right )t}\\y=700000-700000e^{\frac{1}{9}\ln \left ( \frac{1}{2} \right )t}\\\)

Answer:

D. 24

Step-by-step explanation:

AM: 12 (radius)

AC: 24 (diameter)

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

4710

Step-by-step explanation:

6580 minus

1870

4710

The actual distance between Anna's present and her next campsite is 10000 feet.

A ratio indicates the number of times one number contains another.

Given that, the distance of 1 inch on the map is 2000 ft in actuality.

1 inch = 2000 feet

5 inches = 10000 feet

Hence, the actual distance between Anna's present and her next campsite is 10000 feet.

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Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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We can Identify the Valid Equivalance values if the option c) 29,30,31 student clears the exam.

The values that the system or component being tested need to be able to accept are known as valid partitions. The "Valid Equivalence Partition" is the name given to this partition. The values that the component or system under test should reject are known as invalid partitions. The "Invalid Equivalence Partition" is the name of this partition.

For the purpose of the student passing the exam, the values of marks that they can obtain that are equal to or higher than the minimum required marks to pass the exam, which is 24 marks, are regarded real equivalency values. In this case, 29, 30, 31, and all mark values higher than 31 are valid equivalence values.

The appropriate selections are (c), 29, 30, and 31.

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Answer: 50 Cups

Step-by-step explanation:

16 cups in a gallon. so times that by 2, which equals 32. There are four cups in one quart so times 4 by 4 which is 16 and add to 32. 16 + 32 = 48

Two cups in a pint so add 2 to 48 which is 50

Answer:

You will get 25 cups if you mix 2 gallons, 4 quarts, and 1 pint.

Step-by-step explanation:

To convert between gallons, quarts, and pints, we need to use the following conversions:

1 gallon = 4 quarts

1 quart = 2 pints

Here's the step-by-step process to convert the given volume to cups:

Convert gallons to quarts: 2 gallons * 4 quarts/gallon = 8 quarts

Add the number of quarts from step 1 to the number of quarts given: 8 quarts + 4 quarts = 12 quarts

Convert pints to quarts: 1 pint * 1 quart/2 pints = 0.5 quarts

Add the number of quarts from step 3 to the number of quarts from step 2: 12 quarts + 0.5 quarts = 12.5 quarts

Convert quarts to cups: 12.5 quarts * 2 cups/quart = 25 cups

Therefore, you will get 25 cups if you mix 2 gallons, 4 quarts, and 1 pint.

The third side of the right angled triangle is 45.

What is right angled triangle?

A right angled triangle, also known as a right triangle, is a type of triangle that has one angle that measures exactly 90 degrees, called the right angle. This angle is formed where the two shorter sides of the triangle meet.

To solve this problem, we can use the concept of special right triangles, specifically the 3-4-5 right triangle. In a 3-4-5 right triangle, the sides are in the ratio of 3:4:5.

Let's label the length of the triangle as \($L$\), the height as \($H$\), and the hypotenuse as \(X\).

The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Therefore, we can set up the following equation:

\($$ L^2 + H^2 = X^2 $$\)

Substitute the given values.

We are given that \($L = 27$\) and \($H = 36$\), so we can substitute these values into the equation:

\($$ 27^2 + 36^2 = X^2 $$\)

Simplify the equation.

Evaluating the squares on the left side, we get:

\($$ 729 + 1296 = X^2 $$\)

Simplifying the right side, we get:

\($$ 2025 = X^2 $$\)

Solve for X.

Taking the square root of both sides, we get:

\($$ X = \sqrt{2025} $$\)

\($$ X = 45 $$\)

Therefore, the third side of the triangle is 45.

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Yes, there is an analogous ratio between 2:1 and 20:10.

We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.

By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.

As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.

The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:

20 ÷ 10 : 10 ÷ 10

= 2 : 1

As a result, both ratios have the same reduced form, 2:1, making them equal.

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