The equation of the shifted circle is (x-3)² + (y-3)² = 36.
Shifting a circle with equation (x-3)² + (y-5)² = 36 down 2 units means that we need to subtract 2 from the y-coordinate of the center of the circle. Since the center of the circle is (3, 5), the new center will be (3, 3) after the shift.
To find the equation of the shifted circle, we can simply replace the y-coordinate of the center with the shifted value in the original equation:
(x-3)² + (y-3)² = 36
This is the equation of a circle with center (3, 3) and radius 6, which is the result of shifting the original circle down 2 units.
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The table shows the greatest distance, in yards, that Bruce hit with six different clubs. State these distances in feet. The ratio of yards to feet is 1: 3.
Answer:
Yds Ft
99 -> 297
120 -> 369
144 -> 432
162 -> 486
174 -> 522
192 -> 576
Step-by-step explanation:
Suppose it costs $2,500 to buy a defibrillator. Find the expected value of owning a defibrillator if there is a 4% probability that Johnson Club will lose a lawsuit regarding its operation, with each lawsuit resulting in Johnson Club being liable in the amount of $1,000,000.
Answer:
$37,500
Step-by-step explanation:
Expected value is the sum of the outcomes times their probability.
E(X) = (-2500) (1) + (1,000,000) (0.04)
E(X) = 37,500
Another way of calculating it:
E(X) = (-2500+0) (0.96) + (-2500+1,000,000) (0.04)
E(X) = 37,500
Monique Montez earns a 3.5 percent commission on all sales. She also receives a $500 bonus if her commission exceeds $4,000. Her total sales were $82,500. What was her total pay?
Answer:
Her total pay is 2,887.50 since she did not make over 4000$ she will not receive the extra 500$ bonus
Step-by-step explanation:
82,500 X 3.5% = 2,887.50
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3
more than 4
times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 108?
Answer:
M = 21
D = 87
Step-by-step explanation:
D = Don
M = Mark
D = 3+ 4M
M +D = 108
M +(3 + 4M) = 108
3+4M = 108
105 = 5M
M = 21
Then we substitute:
D = 3 + 4M
D = 3 + 4(21)
D = 3 + 84
D = 87
Answer:
Don has 87, and Mark has 21.
Thanks!
an amount shall become 300% of the principal amount when the rate is 10% per annum then what is the time?
The time Period is 2990 years.
Suppose the principal is P, and the interest rate is R, and the time period is T.
The total amount is A.A = P + I, where I is the interest earned by the principal.
The interest earned is given by the formulaI = (P × R × T)/100Using the values given in the question, we can rewrite it as300P = P + (10/100) × P × T
Thus, we can write300P = P + 0.1PTake out P from both sides of the equation, we get299P = 0.1P × TWe can further simplify it by dividing both sides by 0.1P.2990 = T
Therefore, the time period is 2990 years.
the time period is 2990 years. In practice, interest rates are never that high, and even if they were, it would be impossible for anyone to wait for that long to earn that much interest.
It is more likely that there is an error in the question itself. The question might be asking for something else or it might have a typo.
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find the two numbers.
X + 3x - 7 = 61
Answer:
x= 17
Step-by-step explanation:
combine like terms
4x-7=61
4x=68
x=17
An angle in quad 2 measures (3x+5). Its supplementary angle measures (5x+15). What are the angle measures?
ANSWERS:
a) 100,80
b) 120,60
c ) 65,115
d) 90,90
e) 110,70
6. Factor 5x² +10x-15
(5x+3Xx−5)|
(x+5)5x+3)|
(5x–5)(x− 3)|
(x+3)(5x−5)|
The factored expression of 5x² + 10x - 15 is 5(x + 3)(x - 1) or (x + 3)(5x - 5)
How to determine the factored expressionfrom the question, we have the following parameters that can be used in our computation:
5x² + 10x - 15
Factor our 5
5(x² + 2x - 3)
When expanded, we have
5(x² + 3x - x - 3)
So, we have
5(x(x + 3) - 1(x + 3))
Factor out x - 1
5(x + 3)(x - 1)
Hence, the factors are 5(x + 3)(x - 1)
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which one is larger 4/5 or 8/10
Answer:
neither
Step-by-step explanation:
they are equal 4/5 a simplfied version on 8/10
M is the midpoint of LN. L has coordinates (1 ,12) and N has coordinates (5, -4). Find the coordinate of M.
Answer:
(3,4)
Step-by-step explanation:
Using midpoint formula
We get,
(1+5/2,12-4/2)(6/2,8/2)(3,4)Mom and dad work in the garden on weekends
Answer:
um ok then nice :l
Step-by-step explanation:
What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
The slope is Negative four-thirds, and the y-intercept is 3.
The slope is Negative four-thirds, and the y-intercept is 4.
The slope is Negative three-fourths, and the y-intercept is 3.
The slope is Negative three-fourths, and the y-intercept is 4.
Answer:
The answer is c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Math question angle measures
Answer:
angle 1 = 129 degrees
angle 2 = 51 degrees
angle 3 = 129 degrees
Step-by-step explanation:
since angle 2 and 4 are vertical angles, they will have the same value (51). I took angle 2 and 1, and since those angles lie on a straight line, they equal 180 degrees. so I subtracted 180-51, and got 129, giving you the measurement of angle 1 and 3, since 1 and 3 are vertical angles. remember that vertical angles are always equal :)
Step-by-step explanation: To start things off, let's find the m<2.
Notice that <4 and <2 are vertical angles since they share
a common endpoint and their sides form opposite rays.
Vertical angles are always congruent so we know that the m<4 = m<2.
Since the m<4 = 51, the m<2 must also be 51.
Now, notice that <1 and <2 form a straight angle
which always adds to 180 degrees.
So we have the equation 51 + x = 180.
Solving from here, we find that x = 129.
So the m<1 = 129.
Since <1 and <3 are again vertical, we know that m<3 = 129.
x2=-4 please help me find out
Answer:
Bruh, easy. Divide -4 by 2 and you get -2. So, x = -2.
Why you not know that?!
Answer:
x = -2
Step-by-step explanation:
2x = -4 ( divide by 2)
x = -2
please help I need answer ASAP I've tried 13 as the answer but it does not work
When Lena went to her friend's sleepover on Friday night, the temperature was
–
7°F. By the next morning, the temperature had risen to
–
1°F.
What was the change in temperature during the sleepover?
Answer:
6F
Step-by-step explanation:
ACTIVITY - Let's Be Reasonable
POSSIBLE POINTS: 20
Julie is balancing her checkbook. Her beginning balance is $325.46, her deposits add up to $285.38, and her withdrawals add up to $683.27.
Approximately how much is her ending balance?
A
B.
About -$70
About - $600
C. About $700
D. About $1,300
x Clear
Undo
Redo
Answer:
About -$70
she broke
Your coffee bar has two kinds of drink One cup of the first one costs 9 grams of juice , 4 grams of coffee and 3 grams of sugar The second one costs 4 grams of juice, 5 grams of coffee and 10 grams of sugar. The budget at most 3.6 kilograms of Julce, 2.0 kilograms of coffee and 3.0 kilograms of sugar every day. You get $1.2 if you sell one cup of the first kind of drink and $0.7 of the second one. aWhat is the maximal profit $ b) How many drinks should be sold to get a maximal profit ? Sales of the first one = cups Sales of the second one = cups
Answer:
How many drinks should be sold to get a maximal profit? 468
Sales of the first one = 345 cups
Sales of the second one = 123 cups
Step-by-step explanation:
maximize 1.2F + 0.7S
where:
F = first type of drink
S = second type of drink
constraints:
sugar ⇒ 3F + 10S ≤ 3000
juice ⇒ 9F + 4S ≤ 3600
coffee ⇒ 4F + 5S ≤ 2000
using solver the maximum profit is $500.10
and the optimal solution is 345F + 123S
/what is the solution for x in the equation 10x - 4.5 + 3x = 12x - 1.1
Answer:
x = 3.4
Step-by-step explanation:
Step 1: Write equation
10x - 4.5 + 3x = 12x - 1.1
Step 2: Solve for x
Combine like terms: 13x - 4.5 = 12x - 1.1Subtract 12x on both sides: x - 4.5 = -1.1Add 4.5 on both sides: x = 3.4Step 3: Check
Plug in x to verify it's a solution.
10(3.4) - 4.5 + 3(3.4) = 12(3.4) - 1.1
34 - 4.5 + 10.2 = 40.8 - 1.1
29.5 + 10.2 = 39.7
39.7 = 39.7
what is the slope of the line that passes through the points (0, -2) and (3, 4)
need asap
What are reasons A, B, and C in the proof? Prove: (4 · 3)l + (2 · 4)l = 20l Statements Reasons (4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________ = 4(3l + 2l) B. _________________ = 4(5l) Addition = (4 · 5)l C. _________________ = 20l Multiplication A. Commutative Property of Addition B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Associative Property of Multiplication C. Distributive Property A. Distributive Property B. Commutative Property of Multiplication C. Associative Property of Multiplication
Answer:
A. Commutative Property of Multiplication
B. Distributive Property
C. Associative Property of Multiplication
Step-by-step explanation:
The reasons A, B and C are:
A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of MultiplicationThe equation is given as:
[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =20l}[/tex]
First, we apply the commutative property of multiplication.
So, we have:
[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =(4 \cdot 3)l + (4 \cdot 2)l }[/tex]
Next, apply the distributive property
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (3 + 2)l }[/tex]
Addition
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (5)l }[/tex]
By the associative property of multiplication, we have:
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot 5 \cdot l}[/tex]
[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l = 20l}[/tex]
Hence, the reasons A, B and C are:
A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication
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HELP PLEASE IM A WEEK BEHIND!!!
Week 1 = ? savings
Week 2 = ? savings
Week 3 = ? Savings
Week 4 = ? Savings
Week 5 = ? Savings
Week 6 = ? Savings
Week 7 = ? Savings
Week 8 = ? Savings
Answer:
Step-by-step explanation:
Week 1 = 78
Week 2 = 100
Week 3 = 122
Week 4 = 154
Week 5 = 173
Week 6 = 194
Week 7 = 213
Week 8 = 131
An orchard has 672 apple trees. The number of rows exceeds the number of trees per row by 4. How many trees are there in each row?
Answer:
There will be 42 trees in each row.
Step-by-step explanation:
672 divided by 4 = 168 rows
168 rows divded by 4 = 42 trees in each row
2x^2+2=3x help i need a full eplaination
Answer:
3 ± i sqrt( 7)
-------------------------------
4
Step-by-step explanation:
2x^2+2=3x
Subtract 3x from each side
2x^2 -3x+2=0
Using the quadratic formula
-b ± sqrt( b^2 -4ac)
-------------------------------
2a
a =2 b = -3 c =2
-(-3) ± sqrt( (-3)^2 -4*2*2)
-------------------------------
2*2
3 ± sqrt( 9 - 16)
-------------------------------
4
3 ± sqrt( -7)
-------------------------------
4
sqrt(-7) = sqrt(-1) sqrt(7) = i sqrt(7)
3 ± i sqrt( 7)
-------------------------------
4
One number is 4 more than twice the other number. Their sum is 40. Find the numbers.
Answer: 12
Step-by-step explanation:
Lets take x as one number and y as another
x + y = 40
2y + 4 = x
Lets replace x with the equation above
2y + 4 + y = 40
3y + 4 = 40
3y = 40 - 4
3y = 36
y = 36/3
y = 12
Answer:
12, 28
Step-by-step explanation:
4 times 3 is 12, and 12 times 2 plus 4 is 28, there's your answer!
Hope this helps :)
please help with this one, geometry
9514 1404 393
Answer:
a) 40°
b) 70°
c) 35°
d) 105°
Step-by-step explanation:
a) x is half the given angle, so is ∠BAC/2 = 80°/2.
x = 40°
__
b) ∠ABC has a value that makes the angles in the triangle have a sum of 180°.
∠ABC +∠BAC +30° = 180°
∠ABC = 180° -30° -80°
∠ABC = 70°
__
c) y is half the measure of ∠ABC, so is 70°/2.
y = 35°
__
d) z has a value that makes the angles in its triangle have a sum of 180°.
x + y + z = 180
z = 180 -x -y = 180 -40 -35
z = 105°
There are 32 adults and 20 children at a school play. What is the ratio of
children to people at the school play? (6.RP.3a)
Answer:
5:13
Step-by-step explanation:
Solve for h.
h + 1 = 10
h.
Submit
Answer:
h = 9
Step-by-step explanation:
h + 1 = 10
Subtract 1 from each side
h + 1-1 = 10-1
h = 9
what trend does the data in the line graph show ?
Answer:
its going up 2002 up to 2004
9. Use the graph of the function f(x) = x³ – 7x² + 10x to
x`
identify its relative maximum and minimum.
da
-4
8
8
2
K
T
2
da
y
8
+w
8
maximum = 4.1, minimum = -8.2
maximum = 0.9, minimum = 3.8
The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:
Relative maximum: (0.88, 4.061).Relative minimum: (3.786, -8.209).What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing, that is, where the function curves down.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing, that is, where the function curves up.More can be learned about extremas of a function at https://brainly.com/question/9839310
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