We are given:
Coordinates of center: (2,8)
Radius of circle: 3 units
Finding equation of the circle:
We know that the general form of a circle is:
(x-h)² + (y-k)² = (radius)²
where h is the x-coordinate of the center and k is the y-coordinate
replacing with the given values, we get:
(x-2)² + (y-8)² = (3)²
Solve < 2. {x | x > - } {x | x < - } {x | x > } {x | x < }
Unfortunately, solving: < 2. {x | x > - } {x | x < - } {x | x > } {x | x < } is impossible.
For problems 1–4, solve the given system of equations using either substitution or elimination.
1. -3, -2
2. 1, -7
3. 1, 2.5
4. infinitely many solutions
Jacob Hernandez invests $25,000 in a CD for 5 years. The CD earns interest at an annual rate of 5.5% compounded quarterly. What is the annual percentage yield to the nearest hundredth of a percent?
Answer:
Below
Step-by-step explanation:
Each PERIOD is 3 months there is 4 periods per year
periodic interest = .055/4
effective interest per year would then be
(1 + .055/4)^4 - 1 = .056144 = ~ 5.61%
University officials hope that changes they have made have improved the retention rate. Last year, a sample of 1937 freshmen showed that 1517 returned as sophomores. This year, 1636 of 2038 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
Carla counted the number of red M&Ms in each bag she bought over the course of year. She created a histogram from the data. Describe the center and shape of her histogram.
Answer:
Okay
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
multiply the two numbers on a calculator
Step-by-step explanation:
give brainlest please
Answer:
Using Pythagorean Theorem: a^2 + b^2 = c^2
Answer is 8.2
A circle has its center at (2,3). One point on the circle is (-2,5). Which is
another point that lies on the circle?
A city has 22 radio stations, including 8 classical stations. What is the probability that a randomly chosen radio station in this city is a classical station
IN THE SIMPLEST FRACTION
Answer:
4/11
Step-by-step explanation:
8/22 chance and simplified gives the answer.
If 19 is subtracted from three times a number, the difference is 110. What is the number? *
Answer:
Step-by-step explanation:
Three of you is 3 Sarahs. 3 times a number is 3n, or 3-whatever letter you pick. Subtract 19 from that...
3n - 19
If it confuses you, pick an actual number to use. 19 subtracted from 3 times 6.
3(6) - 19
Instead of solving and getting 1, just replace the 6 with a letter. Most people like to use x, but I used n since "number" starts with n.
3n - 19
A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimensions of the rectangular part of a Norman window to allow in as much light as possible, if there are only 12 ft of the frame material available? I'm reporting you if you send be a bitly link
Answer:
length = 4 feet, and width = 2 feet
Step-by-step explanation:
Given that 12 feet of the frame material is available for the rectangular part of Norman's window. Then,
Perimeter = 2 (length + width)
Perimeter of the frame = 12 feet
So that,
Perimeter = 2 (length + width)
12 = 2 (length + width)
length + width = [tex]\frac{12}{2}[/tex]
length + width = 6 feet
Therefore, to allow much light as possible, the dimensions of the window would be; length = 4 feet, and width = 2 feet.
1
Multiple Choice Question
What type of number is 105?
Choose all that apply
Whole number
Integer
Rational
Irrational
Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.
What are whole numbers?All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.
What are rational numbers?A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.
The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.
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Use an equivalent rate to convert 3 quarts to pints.
Answer:
6
Step-by-step explanation:
3 quarts=6 pints
The positive number a is 2,352% of the sum of the positive numbers b and c, and b is 84% of c. What percent of b is a?
Answer: We can start by using the information given to set up an equation. We know that:
a = 2,352% of (b + c)
b = 84% of c
We can express the first equation in terms of percentages by dividing both sides by 100:
a = 23.52(b + c)
We can also express the second equation in terms of percentages by dividing both sides by 100:
b = 0.84c
Now we can substitute the second equation into the first equation:
a = 23.52(0.84c + c)
a = 23.52(1.84c)
So a = 43.1184c
To find the percentage of b, we divide b by a and multiply by 100:
percentage of b = (b / a) * 100
Now we substitute values of a and b
percentage of b = (0.84c / 43.1184c) * 100
percentage of b = (0.84 / 43.1184) * 100
Which simplify to
percentage of b = 1.9425 %
Step-by-step explanation:
Delpha buys 20 packs of gum. Three fifths of the packs contain bubble gum. How many packs of bubble gum does Delpha buy?
Answer:
12
Step-by-step explanation:
Find 3/5 of 20, or 60% of 20
60%=0.60
0.60*20=12
So Delpha buys 12 packs of bubble gum.
two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences. Determine the formula for the nth term.
Answer:
65+42*(n-1)
Step-by-step explanation:
aₙ = 65+42*(n-1)
65, 107, 149, 191, .....
Seven television sets are chosen at random (i.e without replacement) from a shipment of 240 television sets of which 15 are defective. Calculate the probability that at least 1 of the chosen televisions are defective
Answer:
7/16
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Proportion of defective televisions in the shipment = 15/240 = 1/16
Probability that 1 of the 7 chosen is defective = 1/16 x 7 = 7/16
singular noun or plural noun sentenses
Answer:
Singlular: Hello, this is my cat
Plural: Hello these are my dogs
Step-by-step explanation:
Singlular sentances are just one thing like 1 cat or 1 dog, Plural sentances are more than one thing like cats and dogs
What is an angle that is adjacent to DEA?
Answer:
CED or AEB
Step-by-step explanation:
adjacent angles share the same vertex and one side so it will be either CED or AEB
Simplify: -20z^8+ (-2z^8)
Enter the original expression if it cannot be
simplified.
Therefore , the solution of the given problem of expression comes out to be 22[tex]z^{8}[/tex].
Define Expression .A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Here,
Given : -20[tex]z^{8}[/tex]+ (-2[tex]z^{8}[/tex])
=> -22[tex]z^{8}[/tex]
So ,
In order to find the solution we add them
Thus ,
simplification of given expression is:
=> - 22[tex]z^{8}[/tex]
Therefore , the solution of the given problem of expression comes out to be 22[tex]z^{8}[/tex].
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Which scale of measurement most reasonably applies to Confidence in Science?
The scale of measurement most reasonably applies to Confidence in Science is ordinal.
What are scales of measurement?The basic four scales used in measurements are continuous, discreet, ordinal and nominal. The continuous measurement scale is used to take the values in between a permitted range. For example weight, height, sales, rate etc.
In discreet measurements only take the whole numbers within a permitted range. For example, count of people, number of objects etc. Ordinary, logically ordered categorical values. For example, the size of clothes,
Nominal measurements include not logically ordered categorical values. For example, nationality, language etc. The scale of measurements most reasonably applies to Confidence in Science is ordinal.
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PLease help very easy
In a random survey, people were asked how many pairs of shoes they own.
The results are recorded in the graph below.
Pairs of Shoes
Stem
Leaf
0
3 7
1
1 2 7
2.
1 5 6 8
3
1 3 7
4
O 5 8
5
1 3 7
What is the median number of pairs of shoes in this survey?
Answer:
29.5
Step-by-step explanation:
median number is the middle number
PLS HELP
How many vertices does the polyhedron below have?
a. 8
b. 10
c. 12
d. 20
Answer:
it have 15 edges and 10 verticle
Answer:
B. 10
Step-by-step explanation:
I believe it is ten I hope I'm right sorry if I'm not hope this helps.
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for pink, 1/15 for white, 1/20 for blue, and 1/5 for black. What is the probability of pulling a black or pink card, written as a reduced fraction?
Answer:
wouldn't it be 1/25 black??
PLEASE HELP ME DUE TODAY NOW ASAP THANKS
The rate of change of the end points of the line is 32/10
What is slope?
Slope is defined as the rate of change of y with respect to x. Also it is defined as increase in y over increase in x or decrease in y over decrease in x
slope is denoted by the formula = Δy/Δx
Where Δy = change in y
Δx= change in x
The given points are (-9, -2) and (5, 119/5)
The slope of the end points (119/5 + 21)/(5+9)
The slope is (119+105)/5
M= 44.8/14
The slope is 3.2 = 32/10
Therefore the rate of change is given as 32/10
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the table gives information about the number of points scored by each of 16 students in a game.
number of points - frequency
0 - 1
1 - 3
2 - 5
3 - 4
4 - 3
tina worked out the median of the number of points scored to be 5.
a) explain why it is not possible for the median to be 5?
17. The perimeter of rectangle RPQT is 134dm.
Find its area.
R.
Р
(3d-8) dm
T
(2d + 15) dm
Q
Answer:
[tex] \sf 1092 \: dm^2 [/tex]
Refer to the attachment for explication of steps. :)
Susan invested a total of $9000 in two accounts. One account pays 3% interest and the other account pays 6% interest. The total return from both accounts was $450.
The money invested in a account with 3% interest is $3000 and the money invested in a account with 6% interest is $6000.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, Susan invested a total of $9000 in two account.
One account pays 3% interest and the other account pays 6% interest.
Let the money invested in a account with 3% interest be x.
Then, the money invested in a account with 6% interest be 9000-x.
The total return from both accounts was $450.
Here, (x×3×1)/100 + ((9000-x)×6×1)/100 =450
3x+54000-6x=45000
54000-3x=45000
3x=9000
x=$3000
So, 9000-x=$6000
Therefore, the money invested in a account with 3% interest is $3000 and the money invested in a account with 6% interest is $6000.
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Last one I promise thank you all for the help
Answer:
$14,331 is the answer to the question
Answer:
14,331
Step-by-step explanation: I added the up suing a calculator.
Can I get brainliest please?
cuanto es 36x1000 por fa
Answer:
[tex]36 * 1000 = 36000[/tex]
Step-by-step explanation:
Have a nice day!
¡Que tenga un lindo día!
Answer:36000
Step-by-step explanatio:ESPERO TE AYUDE