Step-by-step explanation:
The general form of the equation of a circle is
(x-a)^2 + (y-b)^2 = r^2 where the center is (a,b)
Plugging in the given values:-
(6 - a)^2 + (4-b)^2 = r^2 and
(6-a)^2 + (2-b)^2 = r^2
Subtracting:-
(4-b)^2 - (2 - b)^2 = 0
16 - 8b + b^ - (4 -4b + b^2) = 0
12 - 4b = 0
-4b = -12
b = 3
Similarly if we take the 2 points (6,2) and G(10,2) and make two equations we can find the value of a
(6-a)^2 + (2-b)^2 = r^2
(10.a)^2 + (2-b)^2 = r^2 subtract::-
(6-a)^2 -(10-a(^2 = 0
this will give a = 8
so the center of the circle is the poit (8,3)
What is the value of x?
Enter your answer in the box.
Answer:
its c
Step-by-step explanation:
Mrs. Johnson bought 12 pound of ham and used it to make 3 sandwiches. She uses the same amount of ham on each sandwich. What fraction of a pound of ham is on each sandwich
The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b =[/tex] a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For this case, we're specified that:
Total ham Mrs. Johnson bought = 12 poundsTotal sandwiches that she makes of that amount of ham = 312 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).
That means:
Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.
To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.
If we take 4 times a pound, then we get 4 pounds.
Thus, 4 of a pound = 4 pound
In fraction, we have: 4 pounds = 4/1 fraction of a pound.
Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound
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PLEASE HELP 100 POINTS MATH ASAP URGENT
Answer:
answer to number 1
Step-by-step explanation:
Find the zeros of denominator (x=-2)
-2|1 4 0 -9 -2
After Carrying down coefficients = Coefficients of number polynomial is 1, 2, -4, -1, and 0
Polynomial format: x^3+2x^2-4x-1
Hope this helps :)
745
90M
24
F&
2
7
D%
D. 24
5
⅔5
Answer:E Sin 16= opposite side/hypotenuse =7/15
Step-by-step explanation: opposite side to the angle used/ hypotenuse.
Triangle ABC is a right triangle. The lengths of the legs are 21 centimeters and 28 centimeters. What is the length of the hypotenuse in centimeters?
PLS HELP !!! I just dont understand im not smart-
Answer:
Let's first find the area of the rectangle/rectangle,
we can do this by combining their lengths as a whole
or
we can individually find their area.
Let's find the area of the individual shapes, upper rectangle;
(using the formula)
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = 27(24)
A = 648 square feet is the area of the upper rectangle.
Now, the lower rectangle:
A = l x w
Plug in what you know:-
A = 27(32)
A = 864 square feet is the area of the lower rectangle.
Now we find the area of the triangle beside;
(using the formula)
A = BH x 1/2
Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.
Plug in what you know:
A = BH x 1/2
A = 18(32) x 1/2
A = 576 x 1/2
A = 576/2
A = 288 square feet is the area of the triangle beside.
Add up all the areas we've gathered so far:
648 + 864 + 288
= 1,800 square feet is the area of the patio
Answer:
Let's first find the area of the rectangle/rectangle,we can do this by combining their lengths as a wholeorwe can individually find their area.Let's find the area of the individual shapes, upper rectangle;(using the formula)A = l x wWhere 'l' represents the length and 'w' stands for the width.Plug in what you know:-A = 27(24)A = 648 square feet is the area of the upper rectangle.Now, the lower rectangle:A = l x wPlug in what you know:-A = 27(32)A = 864 square feet is the area of the lower rectangle.Now we find the area of the triangle beside;(using the formula)A = BH x 1/2Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.Plug in what you know:A = BH x 1/2A = 18(32) x 1/2A = 576 x 1/2A = 576/2A = 288 square feet is the area of the triangle beside.Add up all the areas we've gathered so far:648 + 864 + 288= 1,800 square feet is the area of the patio
Step-by-step explanation:
what is the solution to the exponential equation (½)x = 32
Answer:
Step-by-step explanation:
log(1/2) (32) =x
What is the length of leg s of the triangle below?
Answer:
[tex]\bf F.\;8[/tex]
Step-by-step explanation:
[tex]\bf Sin (45^o)=\cfrac{5}{8\sqrt{2} }[/tex]
[tex]\bf \cfrac{1}{\sqrt{2} } =\cfrac{S}{8\sqrt{2} }[/tex]
[tex]\bf S=\cfrac{8\sqrt{2} }{\sqrt{2} }[/tex]
Cancel common factor:- √(2)
[tex]\bf S=8[/tex]
Therefore, your answer is f) 8.
Find the volume of the following rectangular prism in terms of x, if the length is 4x + 0. 5, the width is 1/2 x, and the depth is x -2
The volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
Volume of a prismThe formula for calculating the volume of a prism is expressed as
V = lwh
l is the length
w is the width
h is the height
Given the following
l =4x + 0.5
w = 1/2x
h = x - 2
Find the volume
V(x) = (4x+ 0.5)(0.5x)(x - 2)
Hence the volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
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Mark wants to run his town's half marathon, which covers 13.1 miles. When runners have completed 65% of the course, they are challenged with a steep hill to climb. What distance, in miles, will Mark run before he gets to the foot of the hill? Round your response to the hundredths place.
Using proportions, it is found that Mark will run 8.52 miles before he gets to the foot of the hill.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the distance to the foot of the hill is 65% of 13.1 miles, hence:
d = 0.65 x 13.1 = 8.52 miles.
Mark will run 8.52 miles before he gets to the foot of the hill.
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Describe the pattern in the sequence. Find the next two terms of the difference.
-2, -5, -8, -11, ...
Answer:
-14,-17
I hope this is useful
George works at Whataburger. He makes $8. 50 per hour and works a maximum of 25
hours per week. The equation e = 8. 50h can be used to determine the amount of money,
e, that George earns after h hours worked. What is the domain and range that represents
this situation?
A Domain: 0 Shs 25
Range: 0 ses 212. 50
B Domain: Oshs 212. 50
Range: 0 ses 25
C Domain: 8. 50 Range: 0 ses 212. 50
D Domain: Oshs 8. 50
Range: 0 ses 212. 50
Answer:
200 should be
Step-by-step explanation: mhm yes yes
A triangle has a perimeter of 16x + 4. If Side 1 is 3x + 2, Side 2 is 8x + 7, what is the measure of Side 3? Show your work
Answer:
Side 3 = a - 2
Step-by-step explanation:
Perimeter of a ∆ = sum of all the sides of a triangle
Perimeter of the given ∆ = 6a + 3 units
Side 1 = 2(a + 3)
Side 2 = 3a - 1
Side 3 = ?
Therefore:
Side 3 = Perimeter - sum of side 1 and 2
Thus:
Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]
Side 3 = 6a + 3 - [2a + 6 + 3a - 1]
Side 3 = 6a + 3 - [5a + 5]
Side 3 = 6a + 3 - 5a - 5
Side 3 = a - 2
Step-by-step explanation:
Ik this isn’t a math question but I want to know how much this beanie boo is cause I’m planning on selling it
Step-by-step explanation:
That's a rare Halo II angel bear, especially since it has a brown nose. Don't sell it less than $40, you can check prices on many websites
What does this data mean in terms of likelihood for a person from a particular geographic area to be dairy tolerant
The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.
What is Dairy tolerance?This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.
From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.
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Trent bought four pounds of deli turkey for $2.68 per pound. How much did he spend? $8.42
Susana is with a mobile phone provider that charges $0.27 per minute plus a connection fee of $0.20. How much will she be charged for a
call that lasts b minutes?
Answer:
The total monthly charge if one uses 769 minutes is $68.65
Step-by-step explanation:
Example: If we are at x = 310, y = 45.50 and we use one more
minute, x goes up by 1, y increases by .05, putting us
at x = 311, y = 45.55. Thus, usage of 311 minutes
incurs a monthly cost of $45.55.
The y intercept is the point where x = 0.
That point on our equation is (0, 30)
This means that if zero minutes are used during the month,
the total charge for the month will be $30... the flat fee.
c) Find total monthly cost for using 769 minutes
y = .05x + 30
y = .05(769) + 30
y = 38.45 + 30
y = $68.65
PLS HELP FAST!!
What is the mean of this data set?
3, 5, 10, 11, 15
Answer:
8.8
Step-by-step explanation:
To find mean, add all of the numbers together, then divide that sum by how many numbers there are.
3 + 5 + 10 + 11 + 15 = 44
44 ÷ 5 = 8.8
hope this helps!
Step-by-step explanation:
3+5+10+11+15÷5=
44 divided by 5 which gives 8.4
therefore that is the mean hope this helps
PLEASE HURRY!!!!!
EXPLAIN why or why not.
Answer:
The graph is not a line of best fit as there are not an equal number of data points on each side of the line
Step-by-step explanation:
Brainliest would be appreciated
On average, what value is expected for the f-ratio if the null hypothesis is true?.
The expected value of the f-ratio is the mean value
On average, the expected value for the f-ratio is 1.00 if the null hypothesis is true
How to determine the expected value?From the question, we understand that the null hypothesis is true and the distribution is the F-ratio
The above scenario means that:
The variance of the top and the bottom ratio are the same
When the ratios are the same and the null hypothesis is accepted, then the expected value is 1.00
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KADS, Inc. Has spent $400,000 on research to develop a new computer game. The firm is planning to spend $200,000 on a machine to produce the new game. Shipping and installation costs of the machine will be capitalized and depreciated; they total $50,000. The machine has an expected life of three years, a $75,000 estimated resale value, and falls under the MACRS 7-year class life. Revenue from the new game is expected to be $600,000 per year, with costs of $250,000 per year. The firm has a tax rate of 35 percent, an opportunity cost of capital of 15 percent, and it expects net working capital to increase by $100,000 at the beginning of the project.
What will the cash flows for this project be? (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. )
The cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).
To calculate the cash flows for this project, we need to consider the initial investment, operating cash flows, and terminal cash flows over the project's life.
Initial Investment:
Research and development cost: -$400,000
Machine cost: -$200,000
Shipping and installation cost: -$50,000
Net working capital increase: -$100,000
Total Initial Investment: -($400,000 + $200,000 + $50,000 + $100,000) = -$750,000
Operating Cash Flows:
The operating cash flows include revenue, costs, and depreciation for each year.
Revenue: $600,000 per year
Costs: $250,000 per year
Depreciation: Calculated using MACRS depreciation method for 7-year class life.
Year 1:
Depreciation: $200,000 (rounded to the nearest dollar) [MACRS depreciation for Year 1]
Operating Cash Flow: $600,000 - $250,000 - $200,000 = $150,000
Year 2:
Depreciation: $320,000 (rounded to the nearest dollar) [MACRS depreciation for Year 2]
Operating Cash Flow: $600,000 - $250,000 - $320,000 = $30,000
Year 3:
Depreciation: $192,000 (rounded to the nearest dollar) [MACRS depreciation for Year 3]
Operating Cash Flow: $600,000 - $250,000 - $192,000 = $158,000
Terminal Cash Flows:
Terminal cash flow includes the salvage value of the machine and the tax effect of selling the machine.
Salvage Value: $75,000
Tax Effect of Salvage Value: Taxable gain or loss on the sale of the machine = (Selling price - Book value)
Book Value: Accumulated depreciation at the end of Year 3 = $200,000 + $320,000 + $192,000 = $712,000
Selling price: $75,000
Taxable gain or loss: $75,000 - $712,000 = -$637,000
Tax on gain or loss: Tax rate (35%) * Taxable gain or loss = 0.35 * (-$637,000) = -$223,450
Terminal Cash Flow: Salvage Value + Tax on gain or loss = $75,000 + (-$223,450) = -$148,450
Now, let's sum up all the cash flows:
Cash Flows = Initial Investment + Operating Cash Flows + Terminal Cash Flow
Cash Flows = -$750,000 + $150,000 + $30,000 + $158,000 + (-$148,450)
Cash Flows = -$560,450
Therefore, the cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).
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What will be the coordinates of point A after a reflection across the x-axis?
A
(6,−2)
B
(6,−5)
C
(−1,5)
D
(−6,5)
Answer:
OPTION B
Step-by-step explanation:
(6,-5)
I HOPE IT HELPED YOU
How many 15° angles are in a circle?
Enter your answer in the box.
angles
Answer:
24
Step-by-step explanation:
a circle is 360
we can divide 360 by 15
360 divided by 15 =
24
simplify 2 + 5(1 + 8n)
Answer:
7+40n
Step-by-step explanation:
distribute 5 and get 5=40n then add the extra 2 for the awnser of 7=40n
Answer:
7+40n
Step-by-step explanation:
expand 5(1+8n)= 5+40n=
2+5+40n
= 7+40n
Which of the following is a possible equation of a parabola. Explain why.
Answer:
the answer is C
because for an equation to be an equation of a parabola, the coefficient of x^2 and y^2 has to be 1
URGENTLY NEEDING HELP!!!!
Answer:
(6,-1)
Step-by-step explanation:
it's given 2m and m is at point (4,-3) increasing each point by 2 = (6,-1).
not sure
Find the surface area of the prism.
HEEEELP PLEASE!!!!!
Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).
From the image, we can tell that the faces of the prism are:
ABFG HDCE FBCE GADH GFEH ABCD
Part II: Recalling the surface area formulaSurface area formula:
[tex]\text{Surface area = Sum of the area of it's faces}[/tex]
The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)
[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]
Part III: Determining the surface area of the prismIf we look at the prism carefully, we can tell that:
ABFG = DCEH
GADH = FBCE
GFEH = ABCD
Therefore, the new equation is:
[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]
If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.
[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]
The area of a parallelogram is the base multiplied by the height.
[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]
Finally, simplify the equation to determine the surface area.
[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]
[tex]\implies \text{SA} = 32 + 20 + 16[/tex]
[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]
A cylindrical tank whose diameter and height are 2.1m and 4m respectively is filled with water whose density is 1g/cm^3.calculate the mass of the water in kg.
Step-by-step explanation:
I assume it means the task is filled completely.
diameter = 2.1 m
therefore, radius = diameter/2 = 2.1/2 = 1.05 m
height = 4 m
volume of a cylinder is
ground area × height, so
pi×r² × height = pi×1.05²×4 = 13.8544236... m³
1 cm³ is 1g
for 1 kg (remember, "k" stands for "kilo" and means 1000) we need therefore 1000 cm³ (which is a cube of 10 cm side length).
how many cm³ are in 13.8544236... m³ ?
1 m = 100 cm
1 m² = 1 m × 1 m = 100×100 = 10,000 cm²
1 m³ = 1 m × 1 m × 1 m = 100×100×100 = 1,000,000 cm³
that means a factor of 1,000,000 !
so, the volume of the cylinder is
13.8544236... × 1,000,000 = 13,854,423.6... cm³
to get the mass of kg of that much water we need now to divide by 1000 :
13,854,423.6... / 1000 = 13,854.4236... kg
which is, by the way, 13.8544236... tons.
yes, 1 m³ of water is 1 ton ...
I don't know, if you need to round the result.
if you e.g. only need full kg, then the answer would be
13,854 kg.
PLEASE HELP ASAP:)!!
Zachary's cornfields are irrigated in circular regions. Zachary records data on the corn production from various irrigated circular regions,
Radius (ft)
500
1,000
1,500
2,000
2. 500
Bushels of Corn
2,705
10,818
24 341
43,273
67,613
What type of function best models the given data set?
A constant
B. Exponential
C. Linear
D. Quadratic
Answer:
Quadratic
Step-by-step explanation:
2705/500 = 5.41
10,818/1000 = 10.818
24 341/1,500 =24.227
43,273/2000 = 21.6365
67,613/2500 = 27.0452
Rate of change changes
PLEASE HELP MEEEE!!!!! 20 POINTS + BRAINLYEST!!!
(No links please)
If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?
A tree casts a 13-foot shadow. The distance from the top of the tree to the far end of the shadow is 22 feet. If the tree is perfectly straight and creates a right angle with the ground. How tall is the tree?
How can you use the Pythagorean Theorem to find the distance between two points on the coordinate plane?
A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone?
Answer:
1) 46.64
2) 17.75
3) 414.69
Step-by-step explanation:
13^2 -5^2=sqrt2172=46.64
22^2-13^2=sqrt315=17.75
V=πr2h
11/3=π·62·11
11/3≈414.69