A circle has its center at (-2, 5) and a radius of 4 units. What is the equation of the circle? (1 point)
(x + 2)2 + (y - 5)2 = 16
(x + 2)2 + (y + 5)2 = 16
(x + 2)2 + (y - 5)2 = 4
(x - 2)2 + (y + 5)2 = 4
Answer:
equation of circle (x +2)² + (x + 5)² = 16.
Step-by-step explanation:
Given : A circle has its center at (-2, 5) and a radius of 4 units.
To find : What is the equation of the circle.
Solution : We have given center at (-2, 5) and radius = 4 units .
Standard form of circle : (x -h)² + (x + k)² = r²
Where, ( h, k) is center , r = radius .
Plugging the values of h , k and r in standard equation
(x -(-2))² + (x + 5)² = (4)²
(x +2)² + (x + 5)² = 16.
Therefore, equation of circle (x +2)² + (x + 5)² = 16.
Lin parachutes from a plane at a height of 22,000 ft above sea level. Several minutes later she notes from an instrument on her wrist that she had dropped 10,000 ft. How far above sea level is she now?
–12,000 ft
6000 ft
10,000 ft
12,000 ft
Lin is 12000 ft far above sea level.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Given that, the initial height of Lin is 22000 ft.
Now, the height of Lin is dropped by 10000, therefore, the new height is:
22000 - 10000
= 12000
Hence, Lin is 12000 ft far above sea level.
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3rd grade math explain how you know if a number can be divided by 10 evenly
In order to know if a number can be divided by 10 evenly, then such a number must end with a zero.
In order to determine the number(s) that can be divided evenly;
The last digit of the number must be zero.For instance, given the numbers 450, 130, 100
Note that they all end in zeroThey can be divided by 10 without remainder.450/10 = 45, 130/10 = 13, 100/10 = 10Hence in order to know if a number can be divided by 10 evenly, then such a number must end with a zero.
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Write an inequality that describes this graph.
Please explain HOW you got your answer, thanks a ton! :)
Answer:
z ≤ 1
Step-by-step explanation:
We know the following:
If the initial point is colored, then the only possible inequality signs are ≤ or ≥. However, if the initial point is not colored, then the possible inequality signs for the inequality is < or >. If the line goes to the left of the initial point, it means that the initial point is greater than the numbers on the left of the initial point. If the line goes to the right of the initial point, it means that the initial point is less than the numbers on the right of the initial point.The inequality sign "≤" defines "less than or equal to"The inequality sign "≥" defines "greater than or equal to"The inequality sign "<" defines "greater than"The inequality sign ">" defines "less than"We can observe that:
In the inequality, we can see that the initial point of the inequality is colored. Therefore, the possible inequality signs for the inequality shown on graph are ≤ or ≥. Let us start setting our inequality.
⇒ _ ≤ or ≥ _We can see that the inequality line shown on the graph, goes to the left. Therefore, the line shown on the graph defines that the initial point is greater than the numbers on the left of the number line.
⇒ _ ≥ _Since "1" is the initial point and is greater than or equal to the numbers on the inequality, we can put "1" on the L.H.S of the inequality. Now,
⇒ 1 ≥ _[Optional] Write the numbers, that are less than 1, on the R.H.S of the inequality. Then, we get the following inequality:
⇒ 1 ≥ 0, -2, -4, -6...[Optional] Include "1" in the series as ≤ means greater than or equal to.
⇒ 1 ≥ 1, 0, -2, -4, -6...Let us assume that the numbers less than and equal to 1, be known as z.
⇒ 1 ≥ 1, 0, -2, -4, -6...⇒ 1 ≥ zTherefore, the inequality that represents the graph is z ≤ 1.
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If jay ran 1 mile in 5 minutes on monday, 2 miles in 10 minutes on tuesday, and 3 miles in 15 minutes on wednesday, how many miles do you think he might run in 20 minutes on thursday?
Answer:
Jay might run 4 miles in 20 minutes
Step-by-step explanation:
If Jay ran on Monday = 1 mile in 5 minutes
On Tuesday = 2 miles in 10 minutes
On Wednesday = 3 miles in 15 minutes
Jay is increasing his time by 5 minutes per day and distance 1 mile per day.
So the next day Jay might run 1 mile + previous day distance in 5 minutes + time of the previous day.
Therefore, Jay might run 4 miles in 20 minutes
A company make concrete bricks shaped like rectangular prisms.
The difference of the squares of twenty and thirteen
A sweater was originally $55. It is now marked down to 65% of its original price. How much is the sweater now?
Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time, t, in weeks?
f(t) = 0.5t + 7
f(t) = 0.5t + 11
f(t) = 1.5t + 5
f(t) = 1.5t + 12.5
it is C hope this helps
Triangle ABC is an isoceles right triangle inscribed in a circle. the center of the circle is point D and the diameter of the circle is AC. Which of the following would NOT be true for the right triangle and circle described above?
The measure of arc AC is equal to the measure of arc AB
AD is congruent to DC and to BD
The measure of arc AB is equal to the measure of arc BC
the measure of angle B is 90 degrees
After eating dinner at the local diner, your bill is $14.25. if you tip 10%, how much money will you leave the waiter?
Answer:
Money leave for the waiter is $ 1.43 .
Step-by-step explanation:
As given
After eating dinner at the local diner, your bill is $14.25.
if you tip 10% .
10% is written in the decimal form .
[tex]= \frac{10}{100}[/tex]
= 0.10
Money leave for the waiter = 0.10 × Dinner cost .
Put all the values in the above
Money leave for the waiter = 0.10 × $14.25
Money leave for the waiter = $ 1.43 (Approx)
Therefore money leave for the waiter is $ 1.43 .
Four friends paid a total of 32 dollars for movie tickets. What is the ratio 32 dollars for4 people written as a unit rate
How to add 3.4 plus 40
A _______ is a set of characters that uses the same typeface.
Final answer:
A font is a complete set of characters with the same typeface or design, crucial for typographic identity in various industries. Typefaces can be serif, conveying classical vibes, or sans serif, appearing modern. Digital advancements have made typefaces more accessible and diverse for designers.
Explanation:
Understanding Typeface in Typography
A font is a complete set of characters that uses the same typeface or design. This uniformity is a vital aspect of typographic identity and conveys different meanings and vibes, which can be crucial to a corporate image, for instance. The selection of an appropriate typeface is influenced by its use case; businesses might choose a typeface that reflects their industry and brand values. The character of a font can be greatly affected by factors such as whether it is serif or sans serif. A serif typeface, which includes small decorative lines at the end of the strokes that form the letters, like Times New Roman or Garamond, often conveys a classical or refined feeling. In contrast, sans serif typefaces, like Helvetica, lack these lines and therefore appear more modern.
The evolution from physical typesetting to digital design has vastly increased the availability and variety of typefaces, making them accessible and affordable, some even for free. In addition, digital typefaces can be created and distributed worldwide with minimal cost. This evolution has led to a proliferation of typefaces for designers to choose from in creating distinct and visually engaging texts.
A sporting goods store pays $120 for a rubber raft. The percent of markup is 45%. Find the raft’s selling price.
Choose all the sets containing the number Pi:
natural numbers
whole numbers
integers
rational numbers
irrational numbers
real numbers
Answer:
The set containing Pi is:
Irrational numbers.Real numbers.Step-by-step explanation:
We have to classify the number "pi" or π.
We know that:
Pi is the ratio of a circumference of a circle to it's diameter.
Pi is an irrational number i.e. it could not be represented in the form of p/q where p is an integer and q is a natural number.
However we sometimes take pi to be 22/7 ; but it's not exactly the same it's just a close approximation.
Hence, we may classify Pi as:
Irrational number.
Also irrational number comes in the category of real numbers.
Hence, Pi is also a real number.
( As real numbers are divided into two category:
1. Rational number
2. Irrational number
Also Rational number contains whole numbers, integers and whole numbers)
Using the number sets, the correct options are:
irrational numbers real numbers-------------------------------------
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...} Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339. Real numbers: Rational plus irrational.-------------------------------------
The number [tex]\pi = 3.1415...[/tex] is a decimal number without repetition, that is, it has infinite decimal places, thus it is irrational.Irrational numbers are also real.Thus, the correct options are irrational and real.A similar problem is given at https://brainly.com/question/10814303
Aaron deposits $8,000 into an account that earns 3% interest, compounded Annually. How much money will he have after 4 years
PLEASE HELP 60 POINTS FOR THE RIGHT ANSWER SHOW WORK
What is the value of x
24
9
21
14
we know that
[tex](5x+15)\°+(3x-3)\°=180\°[/tex] -----> by consecutive interior angles
so
Solve for x
[tex](5x+15)+(3x-3)=180\\ 8x+12=180\\8x=180-12 \\x=168/8 \\x=21\°[/tex]
therefore
the answer is
[tex]x=21\°[/tex]
How many centigrams are there in 24 grams?
A. Restate the question: 24 grams=____centigrams
B. Use the place value chart to determine the multiplication factor,and solve.
Compatible numbers are numbers in a problem that are easy to compute ---------------(it is blank. help me find the answer and i will give you 40 points!!!!!!) please find the blank!PLEASE!!!!!!!!!!
Compatible numbers are numbers in a problem that are easy to compute is a correct statement.
How to perform mathematical operations mentally ?To perform mathematical operations like addition, subtraction,division and multiplication break the numbers into parts such that they are near to the multiple of 10 by subtracting or adding such values to those numbers.
According to the given question compatible are easy to compute it is true.
Compatible numbers are easy for addition, subtraction,division and multiplication and these operations can easily done by mentally without pen and paper.
For example - If we have to add 430 and 760.First we will add 400 and 700 that is 1100 and 30 added to 60 is 90 so the answer is 1190.
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Suppose that there are eight corporations competing for nine different contracts. If the contracts are awarded randomly, what is the probability that each corporation will get at least one contract?
To find the probability that each corporation will get at least one contract out of eight corporations competing for nine different contracts, we can use the concept of permutations and the principle of inclusion-exclusion.
Explanation:To find the probability that each corporation will get at least one contract, we can use the concept of permutations. Since there are 8 corporations and 9 contracts, we can calculate the total number of ways to assign the contracts to the corporations without any restrictions, which is 9! (9 factorial).
Next, we need to find the number of ways that each corporation gets at least one contract. This can be calculated using the principle of inclusion-exclusion. We subtract the number of ways that at least one corporation doesn't get a contract from the total number of permutations.
The number of ways that at least one corporation doesn't get a contract can be calculated by assigning 9 contracts to 7 corporations, which is 7! (7 factorial).
Finally, we can calculate the probability by dividing the number of ways that each corporation gets at least one contract by the total number of permutations:
Probability = (9! - 7!) / 9!
Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years
What is the mode of this data set? {8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6} 12.5 13 15 25 nextreset?
PLEASE HELP!
I will give you a 5 star rating and thanks
original coordinates are
A (0,3)
B(-1,1)
C(2,1)
so add 3 to the x's and subtract 3 from the y's
A becomes (3,0)
B becomes (2,-2)
C becomes (5, -2)
Answer:
i dont know either sorryyyyyyyy
Step-by-step explanation:
Use the LCD to rewrite 1/6 and 3/8 with the same denominator
The two fractions expressed using lowest common denominator (LCD) is written as [tex]\frac{4}{24} \ and \ \frac{9}{24}[/tex]
The given fractions;
1/6 and 3/8
LCD is the lowest common denominator. To express the given fraction using LCD, we will consider the common multiples of the denominators.
The common multiples of 8 and 6 include the following;
first multiple = 24second multiple = 48With the first common multiple, we will rewrite the two fractions to have the same denominator as shown below;
[tex]\frac{1}{6} = \frac{4}{6\times 4} = \frac{4}{24} \\\\\frac{3}{8} = \frac{3\times 3}{8\times 3} = \frac{9}{24}[/tex]
Thus, the two fractions with the same denominator is written as [tex]\frac{4}{24} \ and \ \frac{9}{24}[/tex]
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The measure of an obtuse angle is represented by the expression 2x + 5. What is a possible value for x?
90 < obtuse < 180
answer choices
87.6
42.3
75.4
35.2
Brianna bought a new car for $15000. Each year the value of the car deprecaites by 30% of its value of the previous year. In how many years will the car be worth only $500?
Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure of each angle.
Final answer:
To find the measures of two angles forming a linear pair, where one angle is 26° greater than the other, set up an equation with the sum equal to 180°. Solving the equation reveals that the angles measure 77° and 103°.
Explanation:
When two angles form a linear pair, they are adjacent (share a common side) and supplementary, meaning their measures add up to 180°. If one angle is 26° greater than the other, we can set up the following equations to represent the relationship between the two angles:
Then x + 26° is the measure of the larger angle.
Since they form a linear pair, x + (x + 26°) = 180°.
Combining like terms gives us 2x + 26° = 180°. To find the value of x, subtract 26° from both sides, yielding 2x = 154°. Divide by 2 to get x = 77°. Therefore, the smaller angle measures 77°, and the larger angle measures 77° + 26° = 103°.
Summarily, the measures of the two angles forming a linear pair are 77° and 103° respectively.
What is 19.2×108 minutes in hours? 1.152×1011 h 1.152×107 h 3.200×109 h 3.200×107 h
Answer:
3.200×107 h
Step-by-step explanation:
Which property is illustrated by the following equation?
- 8 ( - 5 + 3 ) = - 8 ( - 5 ) + ( - 8 )(3)