After the point Y (-4, -9) is translated along the vector <-6, 2>, the image will be located at point

Question: Write a loop that inputs words until the user enters STOP.

Answer:

count = 0

word = input("User Input: ")

while word!="STOP":

    count = count+1

    print("You entered: "+str(word))

    word = input("User Input: ")

print("All done. "+str(count)+" words entered")

Step-by-step explanation:

This line initializes counter variable count to 0

count = 0

This line prompts user for input

word = input("User Input: ")

The following iteration is executed until user enters STOP

while word!="STOP":

This increments counter variable by 1

    count = count+1

This prints the word entered by the user

    print("You entered: "+str(word))

This line prompts user for another input

    word = input("User Input: ")

This prints the number of input by the user

print("All done. "+str(count)+" words entered")

Answer:

c = 0

word = input("Enter a word: ")

while word!="STOP":

  c = c+1

  print("#" + str(c) + ": You entered "+str(word))

  word = input("Please enter the next word: ")

print("All done. "+str(c)+" words entered.")

In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is  $26.

If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).

So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26

Therefore, the amount of money in certificates the group receive is  $26

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Answer:

$23.85

Step-by-step explanation:

1 3/4 = 1.75 pounds of coffee

8 1/2 = 8.5 pounds of rice

1.75 x 13= 22.75

8.5 x 0.4= 3.4

22.75 + 3.4 = 26.15

50-26.15=23.85

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

To determine which set of side measurements could form a triangle, we need to check if the sum of the lengths of the two shorter sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.

Let's check each set of side measurements:

13, 19, 7:

The sum of the two shorter sides is 7 + 13 = 20, which is greater than the longest side (19). Therefore, this set of side measurements could form a triangle.

25, 12, 13:

The sum of the two shorter sides is 12 + 13 = 25, which is equal to the longest side (25). Therefore, this set of side measurements could form a triangle.

18, 2, 24:

The sum of the two shorter sides is 2 + 18 = 20, which is greater than the longest side (24). Therefore, this set of side measurements could form a triangle.

3, 1, 5:

The sum of the two shorter sides is 1 + 3 = 4, which is less than the longest side (5). Therefore, this set of side measurements could not form a triangle.

Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:

13, 19, 7

25, 12, 13

18, 2, 24

The set of side measurements 3, 1, 5 could not form a triangle.

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The coordinates of the other 3​ vertice s are; Vertex 2 =  (0.5​, 2.5)

Vertex 3 =  (2, 1), Vertex 4 =(2, 2.5 )

Its the sum of length of the sides used to made the given figure.

Given that the Perimeter, P = 6 units

The Perimeter of a square = 4s ; s = side length

6 = 4s

s = 6/4

s = 1.5 units

If Vertex 1 =(0.5​,1​) and all vertexes are located in Quadrant​ I

Vertex 2 = (0.5​,1 + 1.5​) =(0.5​, 2.5)

Vertex 3 = (0.5 + 1.5 ​,1​) = (2, 1)

Vertex 4 = (2, 1 + 1.5) = (2, 2.5 )

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Answer:

B

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

4+2x-7= 12

2x-7= 12-4

2x= 8+7

x= 15/2

x= 7.5

The ratio of Jane earnings to Lee's earnings is 10:12

Data Given;

This is proportion of one value to another.

The ratio of Jane earning to Lee earning is 10 : 12

we could further divide this to the lowest value possible which is

\(\frac{10}{12}=\frac{5}{6}\)

But then we are told not to reduce the value as a fraction which makes our answer 10:12

The answer to this question is 10: 12

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Answer:

Step-by-step explanation:

Begin by finding a common denominator in the numerator of that rational expression. The common denominator is 3(x+2):

\(\frac{\frac{(3)1}{(3)x+2} -\frac{(x+2)1}{3(x+2)} }{x-1}\) which simplifies to

\(\frac{\frac{3}{3x+6} -\frac{(x+2)}{3x+6} }{x-1}\) which simplifies further to

\(\frac{\frac{3-x-2}{3x+6} }{x-1}\) and

\(\frac{\frac{1-x}{3x+6} }{x-1}\)  Bring up the lower fraction and flip it and multiply:

\(\frac{1-x}{3x+6}*\frac{1}{x-1}\)  In order to make the 1-x into x-1, multiply the numerator of that fraction on the left by -1 to get:

\(-\frac{x-1}{(3x+6)(x-1)}\) and now the x-1 terms cancel out, leaving us with:

\(-\frac{1}{3(1)+6}=-\frac{1}{9}=-.1111\)

Answer:

\(\displaystyle \frac{dy}{dx} = 3(7x^6 + 2)(x^7 + 2x - 3)^2\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)  

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = (x^7 + 2x - 3)^3\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

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The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

Answer:

13

Step-by-step explanation:

whole no. starts with 0 so 13 is the most nearest no. to 12 and also the smallest

Answer: \(y=-3x-2\)

Step-by-step explanation:

\(y=-3x+c\)

Substituting in the coordinates (2,4)

\(4=-3(2)+c\\\\4=-6+c\\\\c=-2\)

\(\therefore y=-3x-2\)

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

- x² + 7

Step-by-step explanation:

A quadratic polynomial has the form ax² + bx + c where a, b, c are constants

Definition of a quadratic binomial

A quadratic binomial quadratic with two terms. It must always have an x² term (since a cannot equal zero in a quadratic) and one other term: either an x term (linear) or a constant term that has a nonzero coefficient.

So it is either of the form ax² + bx or ax² + c

In this case, the coefficient is a = -1 and constant is c= 7

So the quadratic binomial is
-1x² + 7 = - x² + 7

Answer:

-\(x^{2}\) + 7

Step-by-step explanation:

A binomial is a variable expression with two terms. Example 5x + 4

A quadratic binomial is a second degree binomial, such as 5\(x^{2}\) +4

Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

Answer: 4= 2 8=3 12=4

Step-by-step explanation:

We see that 1/4 is the x, so we can multiply 4 by 1/4 which gives us 1 and then we add 1 because the equation has a +1. Now we do the same to the 8, 8(1/4 +1) =3.

Answer:

1/2 is less than 9/10

Step-by-step explanation:

1/2 =0.5

9/10=0.9

Answer:

1/2 is less than 9/10

Step-by-step explanation:

When you change the denomenator to be equal the other denominator,  1/2 will change to 5/10.     1 x 5 = 5.    2 x 5 = 10.

So, since 9/10 is greater than 5/10, 1/2 would be less than 9/10.

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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To answer the question, having a z-table with you will help. We can also use the 68-95-99.7 rule.

The rule states that 68.27% of a normally distributed data set is within one standard deviation of the mean, 95.45% is within two standard deviations, and 99.73% is with three standard deviations.

Given that the mean is 131 mmHg and the standard deviation is 9 mmHg, we can calculate the boundaries which are 3 standard deviations away from the mean by adding and subtracting three times the standard deviation.

Therefore, approximately 99.7% of women over seventy have blood pressures between 104 mmHg and 158 mmHg.

Now let's find out how many standard deviations away 122 mmHg and 140 mmHg are from the mean.

122 and 140 mmHg are within 1 standard deviation of the mean. Using the 68-95-99.7 rule, we know that approximately 68.27% of women over seventy have blood pressures between 122 mmHg and 140 mmHg.

Note that the limit of the expression as x approaches infinity is 1/2.

start by multiplying both the numerator and denominator by the conjugate  expression

√ (x ² - 9x + 1) + x,

this will eliminates the root in the numerator

lim x->∞ [(√(x ² - 9x + 1) - x)  * (√(x² - 9x + 1) + x)] / (√(x² - 9x + 1) + x)

Expanding the numerator

lim x- >∞ [(x² - 9x + 1) - x^2] / (√(x² - 9x + 1) + x)

Simplifying further:

lim x->∞ [(1 - 9/x + 1/ x²)] / (√(1 - 9/x + 1 /x²) + 1)

we can see that the 1/x ² term approaches zero, and the expression simplifies to

lim x->∞ [(1 - 0)]  / (√(1 - 0) + 1)

= 1/2

So it is correct to state that the limit of the expression as x approaches infinity is 1/2.

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Answer:

The total number of registered doctors is 202,920 rounded.

Step-by-step explanation:

Solve for (x) in this equation: 27.4/100 = 55,600/(x)

You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920

To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.

The statement that is a good definition is D. Parallel lines are lines that do not intersect.

A type of quadrilateral with all sides being equal and all angles being 90 degrees is a square.

Lines that do not cross each other but have a constant perpendicular distance are known as parallel lines. Right angles and skew lines are perpendicular to one another but not parallel. Therefore, a square is a type of rectangle in which all four sides are parallel to one another.

Therefore, based on the information, the correct option is D

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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The answer is A cause- and- effect relationship between two variables can best be determined When the two variables are identified.

Because the cause and effect relationship is chancing when the variables are identified or there exists a direct relationship between the variable. i.e. when the variables are identified or have a retrogression between the variables.The use of a controlled study is the most effective way of establishing reason between variables. In a controlled study, the sample or population is resolve in two, with both groups being similar in nearly every way.

There are three criteria that must be met to establish a cause- effect relationship. The cause must do before the effect. Whenever the cause occurs, the effect must also do. There mustn't be another factor that can explain the relationship between the cause and effect.

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Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation: