Answer:
(0, 9)
Step-by-step explanation:
The circle defined by the equation ...
(x -h)^2 +(y -k)^2 = r^2
has its center at (h, k).
We think your circle's equation is ...
x^2 + ( y − 9 )^2 = 81
so it would have its center where h = 0 and k = 9.
The center is (0, 9).
_____
Comment on the question
Sometimes, copying and pasting seems to cause things to be repeated 3 times, usually in different formats. It would be nice to have one clean copy of the equation, so we can easily tell what it is supposed to be. Editing may be required, to make sure all necessary math symbols are included.
Answer:
the whitebord is cool
Step-by-step explanation:
fun cool! 1234567890
Consider the complex number z = -7 + 5i.
The real part of the complex number is _____.
(-2, 5i, 5, or 7)
The imaginary part of the complex number is _____.
(-2, 5i, 5, or 7)
Answer:
-7 is the real part
5i is the imaginary part
Step-by-step explanation:
z = -7 + 5i
i is the imaginary number
-7 is the real part
5i is the imaginary part
Answer:
The real part of the complex number is -7
The imaginary part of the complex number is 5
Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus broom plus a broom =21 and three spoons say spoon plus spoon plus spoon = 12 then final question is a plain witch plus broom x spoon equal a ? What's answer?
Answer:
32
Step-by-step explanation:
witch plus witch plus witch = 45 ⇒ witch = 45/3 = 15
broom plus broom plus a broom = 21 ⇒ broom = 21/3 = 7
spoon plus spoon plus spoon = 12 ⇒ spoon = 12/3 = 4
__
If we assume each witch on first line refers to a "loaded" witch that includes a broom and a spoon, then a "plain" witch is ...
plain witch = witch - broom - spoon = 15 -7 -4 = 4
and the final total of interest is ...
plain witch plus broom x spoon = 4 + 7 × 4 = 4 +28 = 32
factor as the product of two binomials x^2-100
Answer:
(x+10)(x-10)
Step-by-step explanation:
See the explanation on your other problems;
Quickly:
x^2 = x timex x
-100 = 10 x -10
(x+10)(x-10)
the equation is x^2+(y+5)^2=81. find the center and radius
Answer:
The center is (0,-5) and the radius is 9
Step-by-step explanation:
The equation of a circle can be given by
(x-h)^2 + (y-k) ^2 = r^2
where (h,k) is the center and r is the radius
(x-0)^2 + (y- -5) ^2 = 9^2
The center is (0,-5) and the radius is 9
P(t) = 21,000 (4/7)^t/3
Answer:
3
Step-by-step explanation:
HELP ON A TEST
Factor the expression: 4x^2 - 121 (x^2 means x squared)
There is a relationship between the variables, because as the number of apples increases, the weight of the apples
Answer:
There is a relationship between the variables, because as the number of apples increases, the weight of the apples also increases.
Step-by-step explanation:
Answer:the answer is: increases
Step-by-step explanation:
Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace, the second card is a three, and the third card is a jack.
Answer:
[tex]4.82\cdot 10^{-4}[/tex]
Step-by-step explanation:
In a deck of cart, we have:
a = 4 (aces)
t = 4 (three)
j = 4 (jacks)
And the total number of cards in the deck is
n = 52
So, the probability of drawing an ace as first cart is:
[tex]p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769[/tex]
At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is
[tex]n-1=51[/tex]
Therefore, the probability of drawing a three at the 2nd draw is
[tex]p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784[/tex]
Then, at the third draw, the previous 2 cards are not replaced, so there are now
[tex]n-2=50[/tex]
cards in the deck. So, the probability of drawing a jack is
[tex]p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08[/tex]
Therefore, the total probability of drawing an ace, a three and then a jack is:
[tex]p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}[/tex]
Gustavo and Aiden are walking due west through the forest when they happen upon an angry grizzly bear. Gustavo runs away 23^\circ23 ∘ 23, degrees north of east for 300 \,\text{m}300m300, start text, m, end text, and Aiden runs away 33^\circ33 ∘ 33, degrees south of east for 250 \,\text{m}250m250, start text, m, end text. How far are Gustavo and Aiden away from each other?
Answer:
They are 261.96 meters apart.
Step-by-step explanation:
From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Thus, the total angle between them is 23 + 33 = 56°.
Therefore, let the distance between them be c and we can calculate that using the cosine law. Thus,
c² = a² + b² – 2ab cos θ
Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.
Thus,
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
They are 261.96 meters apart.
Answer:
56 degrees
Step-by-step explanation:
Khan academy
A circle has a circumference of 10\blue{10} 10 start color #6495ed, 10, end color #6495ed . It has an arc of length 92\dfrac{9}{2} 2 9 start fraction, 9, divided by, 2, end fraction . What is the central angle of the arc, in degrees? ∘^\circ ∘ degrees
Answer:
[tex]\theta=162^0[/tex]
Step-by-step explanation:
[tex]\text{Circumference of a circle}=2\pi r[/tex]
Circumference of the Circle =10
[tex]\text{If the length of an arc}=\dfrac{9}{2}[/tex]
[tex]\text{Length of an arc}=\dfrac{\theta}{360}X2\pi r[/tex]
Therefore:
[tex]\dfrac{9}{2}=\dfrac{\theta}{360}X10\\\dfrac{\theta}{360}=\dfrac{9}{2}\div 10\\\dfrac{\theta}{360}=\dfrac{9}{20}\\$Cross Multiply\\20\theta=9X360\\\theta=(9X360)\div 20\\\theta=162^0[/tex]
The central angle of the arc is 162 degrees.
Is the sequence geometric? If so, find the common ratio and the next two terms.
1,2,4,8,..
Answer:
16, and 32
Step-by-step explanation:
The common ratio are be multiply by 2.
A restaurant investigated the correlation between prices and the number of customers. The linear model below represents this situation, where x is the average meal price [in dollars], and y is the number of daily customers. Interpret the slope. A. The average number of daily customers is 18. B. The average price per meal is $18. C. If the average meal price decreases by $1, the number of daily customers decreases by 18. D. If the average meal price increases by $1, the number of daily customers decreases by 18.
Answer: correct answer is D
That is, If the average meal price increases by $1, the number of daily customers decreases by 18.
Step-by-step explanation:
Given that the linear model below represents this situation, where x is the average meal price (in dollars), and y is the number of daily customers. Interpret the slope.
y = 437 - 18x
Since x = the average meal price.
and
y is the number of daily customers.
Let x = 1
Y = 437 - 18 = 419
If x = 2 then
Y = 437 - 36 = 401
The difference between the number of daily customers is
419 - 401 = 18
Therefore, If the average meal price increases by $1, the number of daily customers decreases by 18.
Henry is a high school basketball player. In a particular game, he made some free
throws (worth one point each) and some two point shots. Henry made a total of 9
shots altogether and scored a total of 16 points. Determine the number of free throws
Henry made and the number of two point shots he made.
Answer:
7 two point shots and 2 free throws
Step-by-step explanation:
HELP ME!!!!!!!!!The potatoes beth brought weighed 3 kilograms and 420 grams. Her onions weighed 1,050 grams less than the potatoes. How much did the onions and potatoes weigh together
The required total weight of the potato and onion is given as 5.79 Kg.
As given in the question, the potatoes beth brought weighed 3 kilograms and 420 grams. Her onions weighed 1,050 grams less than the potatoes.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Weight of the potatoes = 3 + 0.420 = 3.420 Kg
Weight of the onion = weight of potato - 1.050
Weight of onion = 3.420 - 1.050
weight of onion = 2.370 Kg
Total weight = 3.42 + 2.37 = 5.79 Kg
Thus, the required total weight of the potato and onion is given as 5.79 Kg.
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If ∆XYZ ~ ∆RST, find the value of x.
Answer:
x = 12
Step-by-step explanation:
[tex]\frac{xy}{rs}[/tex] = [tex]\frac{xz}{rt}[/tex]
[tex]\frac{5x - 3}{3x + 2} = \frac{60}{40}[/tex]
20x - 12 = 18x + 12
2x = 24
x = 12
The value of x from the given similar triangles is 12.
Given that, ∆XYZ ~ ∆RST.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From ∆XYZ and ∆RST, we have
XY/RS = XZ/RT
⇒ (5x-3)/(3x+2)= 60/40
⇒ (5x-3)/(3x+2)=3/2
⇒ 2(5x-3)=3(3x+2)
⇒ 10x-6=9x+6
⇒ 10x-9x=6+6
⇒ x=12
Hence, the value of x from the given similar triangles is 12.
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You are a plumber, and you are repairing a toilet leak. The job should take 0.9 hours. About how many minutes will it
take to complete the job?
O 0.015
O 5.4
O 54
O 67
O 540
Answer:
54
Step-by-step explanation:
multiply 60 by 0.9 and you get 54..?
Answer:
54
Step-by-step explanation:
0.1 is 10% of 1 and was subtracted off so we subtract 10% off 60 so 60 x 10% = 6
60 - 6 = 54
Hope this helps can I have brainliest
Can you please help out
Lou had r rocks in his collection. He separated his rocks into 3 equal piles. He now has 12 rocks in each pile. Which equation represents this situation?
Answer:
[tex]r[/tex] [tex]\div[/tex] 3 = 12
Step-by-step explanation:
Given:
Lou had r rocks in his collection.
He separated his rocks into 3 equal piles.
He now has 12 rocks in each pile.
Question asked:
Which equation represents this situation?
Solution:
Total number of rocks = [tex]r[/tex]
He separated in number of piles = 3
Each pile contains = 12 rocks
The equation will be :-
[tex]r[/tex] [tex]\div[/tex] 3 = 12
Therefore, equation which represents this situation is [tex]r[/tex] [tex]\div[/tex] 3 = 12
Bella spent 4/7 of her money on a dictionary and 3 identical books. She spent 1/6 of the remainder on a journal that cost $7. a) How much did she spend on the dictionary and 3 books? b) If 3/8 of the cost of the dictionary was the same as 1/2 of the total cost of 3 books, how much did each book cost?
a) 9.33$
b) 1.33$
Step-by-step explanation:
a)
To solve the problem, let's call
[tex]m[/tex] = the money that Bella has at the beginning
[tex]d=[/tex] the price of a dictionary
[tex]b=[/tex] the price of one book
[tex]j=\$7[/tex] the price of the journal
Here, Bella spent 4/7 of her money to buy a dictionary and 3 books, so
[tex]\frac{4}{7}m=d+3b[/tex] (1)
Then she spent 1/6 of the remainder (which is [tex]\frac{3}{7}m[/tex]) to buy the journal so
[tex]\frac{3}{7}m=j=7[/tex] (2)
So from this second equation we can find m, the money that she has at the beginning:
[tex]m=\frac{7}{3}\cdot 7 =\frac{49}{3}=\$16.3[/tex]
So the amount that she spent for the dictionary + the 3 books is
[tex]\frac{4}{7}m = \frac{4}{7}\cdot \frac{49}{3}=\frac{28}{3}=\$9.33[/tex]
b)
Here, we are told that
3/8 of the cost of the dictionary was the same as 1/2 of the total cost of 3 books
Which can be rewritten as an equation as follows:
[tex]\frac{3}{8}d=\frac{1}{2}(3b)[/tex]
This means that we can rewrite the cost of the dictionary by re-arranging this equation as:
[tex]d=\frac{8}{3}\cdot \frac{1}{2}(3b) =4b[/tex]
Substituting into eq.(1) of part a),
[tex]\frac{4}{7}m=4b+3b\\\frac{4}{7}m=7b[/tex]
And from this, we can find b, the cost of each book:
[tex]b=\frac{1}{7}\cdot \frac{4}{7}m=\frac{4}{49}\cdot \frac{49}{3}=\frac{4}{3}=\$1.33[/tex]
a. She spent on the dictionary and 3 books is $8.
b. The cost of each book is $2.
a) First, let's find out how much Bella spent on the dictionary and 3 books.
Given that Bella spent 4/7 of her money on the dictionary and 3 identical books, this means she spent 1 - 4/7 = 3/7 of her money on other items.
Next, she spent 1/6 of the remaining money on a journal, which cost $7. So, 1/6 * 3/7 * Total money = $7.
To find the total money she had, we'll multiply $7 by 6/1 * 7/3 = $14.
Now, let's find out how much she spent on the dictionary and 3 books. She spent 4/7 * $14 = $8 on them.
b) Now, let's find out how much each book costs.
Given that 3/8 of the cost of the dictionary is the same as 1/2 of the total cost of 3 books, we set up the equation:
(3/8) * Cost of Dictionary = (1/2) * Total cost of 3 books.
Let's denote the cost of each book as x.
So, (3/8) * Cost of Dictionary = (1/2) * 3x.
To solve for x, first find the cost of the dictionary. From part a, we know the cost of the dictionary is $8.
Substitute $8 into the equation: (3/8) * 8 = (1/2) * 3x.
Simplify: 3 = (3/2) * x.
Now, isolate x: x = 3 * 2/3 = $2.
Therefore, each book costs $2.
What is the inverse operation for addition?
multiplication
subtraction
division
addition
Answer: Subtraction
Adding is the opposite of Subtraction
Multiplication is the opposite of Division
Compare and contrast alternate interior angles and
alternate exterior angles.
Answer:
if lines are parralel then corresponding angles are congruent and alternate exterior angles are congruent. if lines are parralel, them same side interior angles are suplementary and same side exterior angles are suplementary
Answer:
When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Exterior Angles: a and h.
Step-by-step explanation:
Write the ordered pair that represents yzThen find the magnitude of yz.
Y(5,0), Z(7,6)
Answer: (2,6) ; 2sqrt10 units
Step-by-step explanation:
Daniel is given the following information to construct a triangle. Determine what type of triangle will be constructed
80 degrees,40 degrees, and 40 degrees
A. an acute triangle
B.no triangle
C.A right angle
D. obtuse triangle
Answer:
An acute triangle
Step-by-step explanation:
All of the angles are less than 90 degrees
With the given angles of 80, 40, and 40 degrees, a triangle can be constructed because they sum up to 180 degrees. Since all the angles are less than 90 degrees, the triangle formed will be an acute triangle (option A).
The question is to determine what type of triangle will be constructed using the given angles of 80 degrees, 40 degrees, and 40 degrees. The sum of the angles in any triangle must equal 180 degrees. Given the angles provided, if we add them up (80 + 40 + 40), we get exactly 180 degrees. This confirms that a triangle can indeed be constructed with these angles.
Furthermore, since all the given angles are less than 90 degrees, this means each angle is acute. Therefore, a triangle with all acute angles is known as an acute triangle (option A). Hence, the triangle that will be constructed with the given angles is an acute triangle.
Tessa bought stock in a restaurant for $103.00. Her stock is now worth $126.69. What is the percentage increase of the value of Tessa's stock?
Answer:
23%
Step-by-step explanation:
use this image to help, leave comments if any questions
The original price of a shirt was $20. It was decreased to $15. What is the percent decrease of the price of this shirt?
Answer:
25%
Step-by-step explanation:
20 - 15 = 5
5 / 20 = .25
.25 x 100 / 100 =
25/100
25%
Feel free to let me know if you need more help! :)
Can someone please help me ASAP
1.6 is 8% of what?
Answer:
20%
Step-by-step explanation:
1.6:8*100 =
(1.6*100):8 =
160:8 = 20
Now we have: 1.6 is what percent of 8 = 20
Question: 1.6 is what percent of 8?
Percentage solution with steps:
Step 1: We make the assumption that 8 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=8$.
Step 4: In the same vein, $x\%=1.6$.
Step 5: This gives us a pair of simple equations:
$100\%=8(1)$.
$x\%=1.6(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
{100\%}{x}={8}{1.6}
Step 7: Taking the inverse (or reciprocal) of both sides yields
{100\%}={1.6}{8}
x=20
Therefore, $1.6$ is $20 of $8$.
Lucas spends 72 minutes cleaning his room. This is 8 times as long as it takes him to wash the dishes. How long does it take Lucas to wash the dishes?
Answer:
It takes Lucas 9 minutes to wash the dishes
Step-by-step explanation:
In this question, we are tasked with calculating the number of minutes it will take Lucas to wash the dishes given the amount of time he spends on cleaning his room.
since we do not know the amount of time it will take, we can represent this with t
Now what information do we have? we are told that this time t multiplied by 8 will be equal to the time in minutes he takes to clean his room.
Hence, mathematically, we have 8t = 72 minutes
t = 72/8
t = 9 minutes
If given x=3 and x= -5
write a quadratic equation
Lou’s gross annual income is $41,028. He is paid biweekly and has 4% deducted from his paychecks for his 401(k). His employer matches his deduction, up to 3%.
How much is deposited into Lou’s 401(k) each payday?
Answer:
Amount deposited into Lou's 401(k) each payday is $119.665
Step-by-step explanation:
Here we have gross income annual $41028
Payment frequency = Every two weeks
Number of payments (Pay days per annum) = 12 × 2 = 24 payments annually
Amount payed on pay day = $41028/24 = $1709.5
Amount deducted from Lou's paycheck on payday = 4% of Pay = 0.04×$1709.5
∴ Amount deducted from Lou's paycheck on payday = $68.38
Amount employer matches = 3% of pay = 0.03 × $1709.5 = $51.285
Therefore, amount deposited into Lou's 401(k) each payday = $68.38 + $51.285
Amount deposited into Lou's 401(k) each payday = $119.665.
Answer:
$110.46
Step-by-step explanation:
Sal recorded the number of crackers in each snack-sized package he opened.
Number of Crackers in Each Package
5
6
7
8
+
9
10
+
11
+
12
+
13
+
14
+
15
Which statement must be true according to the box plot?
O
O
O
O
The data is symmetric, and the lowest number of crackers in a package was 7.
The data is symmetric, and the lowest number of crackers in a package was 8.
The data is skewed, and the lowest number of crackers in a package was 7.
The data is skewed, and the lowest number of crackers in a package was 8.
The statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
What is a number line?A number line is drawn with numbers equally spaced or sections running the length of it.
Here, we have,
A number line should be drawn horizontally and can be extended in any direction indefinitely.
The number line shows the number of crackers lies between 7 and 13. Which is numerically as 7,8,9,10,11,12,13.The number of the digit on the number line skewed is 7.
Hence statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
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