Which is the equation of the parabola that has a vertex at the origin and a focus at (3, 0)?

Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

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Which term of the AP:3, 8, 13, 18,...,is 78?

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In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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The vertex is frequently identified by the letter that appears in the middle, like the letter V. Angles are often measured in degrees, and degrees are used to characterize angles. Thus, option C is correct.

Angle 7 is perpendicular to angle 3, and angle 3 is supplementary to angle 8, therefore they both fall along a straight line. Hence, angle 8 is complementary to angle 7.

Since they form a straight line and are opposite angles, angles 5 and 7 are supplementary. Hence, angle 5 is complementary to angle 7.

The only angle in the figure that is not a support for angle 7 is angle 6. If angles 6 and 7 do not overlap but share a vertex and side, then they are considered neighbouring.

Because they do not go to a straight line, angles 6 and 7 are not extra in this case. The answer is therefore Angle 6.

Therefore, They are not always complementary, even if two nearby angles come together to create a straight line.

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SOLUTION

From our question;

x = 13.9

Questions:

1. 6 is not more than z.

2. The value of w is at least 12

3. Josiah plans to complete his 50 minutes of Mappers practice in 5 days and split the practice up evenly. Which inequality can he use to decide how many minutes he must complete each day?

4. Amy has $35.75 for her visit to the zoo. She must pay $7.25 for admission and wants to feed as many animals as she can. Food for the animals costs $1.25 each. What inequality represents the largest number of animal food that Amy can buy?

5. Jacob spent $40 on supplies to make 100 shirts for a baseball team fundraiser. Solve the inequality to help him decode how much to charge for each shirt to make a profit of more than $350.

100t-40 is greater than 350

Answers:

1. 6 is less than or equal to z (2nd option)

2. w is greater than or equal to 12 (1st option)

3. 5x is greater than or equal to 50 (1st option)

4. 1.25x + 7.25 is less than or equal to 35.75 (4th option)

5. t is great than 39 (3rd option)

Answer:

7 daisies

Step-by-step explanation:

76 ÷ 4 =19

19 - 12 = 7

7 daisies

Answer:

Step-by-step explanation:

each term has at least y^1

each term's coeficient is a factor of 3

3y(5y^2, 7y, 10)

Answer:

\(f^{-1}(x)=\frac{x-4}{5}\)

Step-by-step explanation:

1. replace f(x) with x, and x with y:  x=5y+4

2. solve for y: x=5y+4

                 ⇒  x-4=5y

                 ⇒  (x-4)/5=y

3. replace y with f⁻¹(x)

Answer:

-3.5 or 3 1/2

Step-by-step explanation:

Answer:

y - 2 = 1/3(x - 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the slope:

y - y1 = m(x - x1)

y - y1 = 1/3(x - x1)

Plug in the given point:

y - y1 = 1/3(x - x1)

y - 2 = 1/3(x - 3)

So, the correct answer is y - 2 = 1/3(x - 3)

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Based on the various meals offered by the catering service, the ways that the order can be done is 6,930 ways..

This can be found as:

= (11! / (9!2!)) x (7! / (5!2!)) x (4! / (2!2!)

= 55 x 21 x 6

= 6,930 ways

In conclusion, the order can be made in 6,930 ways.

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Answer:

I just need points.

Step-by-step explanation:

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Edwin needs to sell 44,625 jars of jam to break even.

To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:

Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)

Given information:

Selling Price per Unit (SP) = $1.90

Variable Cost per Unit (VC) = $1.10

Fixed Expenses = $35,700.00 per year

Plugging in the values into the formula:

Breakeven Point = $35,700 / ($1.90 - $1.10)

Breakeven Point = $35,700 / $0.80

Breakeven Point = 44,625 jars

Therefore, Edwin needs to sell 44,625 jars of jam to break even.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The table and graph are attached.

  x: -2, -1, 0, 1

  y: -1, 1, 3, 5

Answer: I can help you with this.

Step-by-step explanation:

So you have to use the equation and plug in the numbers.

Like; in the table we are given x so u have to find y using the equation. Let's do one for -2

Y = 2x + 3

? = 2 (-2) + 3

Y = - 1

Hope you can do the rest. ‍♀️

Solution:

The number 624 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 624. The first step is to divide the number 624 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

624 ÷ 2 = 312

312 ÷ 2 = 156

156 ÷ 2 = 78

78 ÷ 2 = 39

Further dividing 39 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 39 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

Then, the prime factors of 624 are 2, 3, 13, and we have that the prime factorization of 624 is:

So that, we can conclude that the solution is:

Answer:

A) -14 + 8 = 6

B) The fish is at -6 feet below the sea level after it rises 8 feet because -14 (14 feet below 0) plus the 8 feet it rises is -6 feet or 6 feet below the sea level.

Hope this helps and sorry if its wrong!

Answer and explanation:

First Prof. Murphy has to choose between two alternatives: gummy candy or licorice nibs

To find total choices, we only need to multiply number of sizes for each alternative and then add totals for each alternative together

So if Prof Murphy chooses gummy candy. He has sizes= 5 choices and types =3 choices, therefore he has 5×3= 15 choices for gummy candy

If he chooses licorice nibs, he has sizes = 2 choices and types= 2 choices, therefore he has 2×2= 4 choices for licorice nibs

Total choices: 15+4=19

He has 19 different options for selecting candy.

Since while selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs, and gummy candy packets come in five sizes, while packets of licorice nibs come in two, and if he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos, while if he chooses licorice nibs, he must choose between red and black, to determine how many choices does he have, the following calculation must be performed:

Therefore, he has 19 different options for selecting candy.

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Answer:

8200 * 100 = 820,00

820,000 ÷ 10 = 82,000

820 * 10 = 8200

82,000 ÷ 1,000 = 82

Step-by-step explanation:

Love your username btw

Arithmetic operations contain operations such as Addition, Subtraction, Multiplication, and Division.

Arithmetic operations exist as a branch of mathematics, that concerns the analysis of numbers and operation of numbers that exist valid in all the other constituents of mathematics. It essentially contains arithmetic operations such as Addition, Subtraction, Multiplication, and Division.

8200 \(*\)100 = 8,20,000

820000 ÷ 10 = 82,000

820 \(*\) 10 = 8,200

82000 ÷ 1000 = 82

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Answer:

The answer is -40

Step-by-step explanation:

All you have to do for this problem is multiply 4 on both sides of the equal sign so that you can get y alone on one side. By multiplying 4 on both sides you keep the problem equal to what it was before and remove the 4 on the y side. Then, -10 times 4 is -40. Your problem would say y= -40.

Answer:

Option A

Step-by-step explanation:

Option A is an arithmetic sequence.

Each week, the salary goes up by a fixed $50.

To verify this, subtract any two consecutive weeks' salaries.

For example: $250 - $200 = $50; $350 - $300 = $50, etc.

The common difference in 50.

We have an arithmetic sequence with 20 terms. The first term is $200. We need to find the sum of the 20 terms.

The sum of an arithmetic sequence is given by the formula:

\( S_n = \dfrac{n}{2} \times [2a_1 + (n - 1)d] \)

S_n = sum of first n terms

n = number of terms = 20

a_1 = first term = 200

d = common difference = 50

\( S_{20} = \dfrac{20}{2} \times [2(200) + (20 - 1)(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 10 \times [400 + 19(50)] \)

\( S_{20} = 13500 \)

Option A gives a total of $13,500 for the first 20 weeks.

Option B is a geometric sequence in which the salary goes up by 10% each week. To verify this, divide any salary by the previous week's salary.

For example: $220/$200 = 1.10; $266.20/$242 = 1.10; in each case, each salary is 1.1 times the previous week's salary which means a 10% increase. The common ratio of the geometric sequence is 1.1.

We need the formula for the sum of the first n terms of a geometric sequence.

\( S_n = \dfrac{a_1(1 - r^n)}{1 - r} \)

\( S_{20} = \dfrac{200(1 - 1.1^{20})}{1 - 1.1} \)

\( S_{20} = \dfrac{200(1 - 6.7274999)}{-0.1} \)

\( S_{20} = 11455 \)

Option B gives a total of $11,455 for the first 20 weeks.

Answer: Option A

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

14. 6.8%
15. = 100 - 14.79

= 85.21%
16. Yes, because among all of the realizations, there is not any similar outcome.

Answer:

Finding the product of two positive numbers and three negative numbers will give us a negative answer because + x - is _ ..positive *negative is negative