Answer:
(x + 7)² + (y - 1)² = 64
Step-by-step explanation:
Use the equation of a circle, (x - h)² + (y - k)² = r²
Plug in the point and center, then solve for r:
(x - h)² + (y - k)² = r²
(-7 + 7)² + (9 - 1)² = r²
0 + 64 = r²
64 = r²
8 = r
Then, plug in the center and r² into the equation:
(x + 7)² + (y - 1)² = 64
So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation
You draw three cards from a deck of 52 cards, replacing the drawn card and re-shuffling the deck between each draw. What is the probability that you will draw a spade at least once? The answer is approximated.
42%
18%
58%
83%
Answer:
42%
Step-by-step explanation:
just makes sence I think
Which of the following graphs matches the table above
Answer:
can you please take a picture so i can try to solve it
Step-by-step explanation:
if you do thank you
The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gallon of gas is approximately 231 cubic inches. The density of the gasoline is .0262 pounds per cubic inch. The driver has stopped at a local farm to fill a tank that has linear dimensions that are 2/3 the size of his tank. If the driver's tank was full and the farmer's tank was empty, what is the mass of the gasoline in each of the tanks after the smaller tank is full?
9514 1404 393
Answer:
driver's tank: 30,427 lbfarmer's tank: 12,811 lbStep-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr^2·h . . . radius r, height h
The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...
V = π(4 ft)^2·(19 ft) = 304π ft^3
Each cubic foot of gasoline has a mass of ...
(1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3
Then the total mass in the driver's full tank is ...
(304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb
__
The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.
The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.
The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.
In the phrase rise over run
what does rise indicate
Answer:
how far a line goes up
Step-by-step explanation:
rise/run gives the slope of the line
tony earns $45 for walking 5 dogs. how much would he earn for each dog
Answer:
9 dollars per dog
Step-by-step explanation:
45/5=9
you divide to find the unit rate per 1 dog walked.
A school carnival is having a dunk tank. The graph shows the temperature, t, in Fahrenheit after h hours.
Tank Temperature
Which linear function does the graph represent?
1 and 1/4 - 1/3=
please give the right answer
Answer:
11/12
Step-by-step explanation:
15/12-4/12= 11/12
Answer:
11/12
Step-by-step explanation:
5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4
15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well
11/12 subtract
Subtract. Write the answer in lowest terms.
6 1/6 - 2 5/6
Answer:
61/6_25/6=61_25/6=36/6 we divide =6The answer is 6Step-by-step explanation:
Please mark my answer as a brainliest. Please follow me. ❤❤❤Answer:
3 1/6
Step-by-step explanation:
look on the attachment i sent
4x-(12 divided 3) +2x=20
Answer:
4
Step-by-step explanation:
Patrick graphed a square with the area of 50 square units on a coordinate plane. one of the verticles of the square is located at (5,10). which could the other three vertice of the square
Answer:
The other 3 vertices would be (10,5) , (5,0) , and (0,5)
Step-by-step explanation:
PLEASE HELP ILL GIVE 5* AND THANKS
f(x)=5x-3
f(5)=????
Please give me the answer
Answer:
f(5) = 22
Step-by-step explanation:
Plug in 5 as x into the function:
f(x) = 5x - 3
f(5) = 5(5) - 3
f(5) = 25 - 3
f(5) = 22
An election for favorite lunch snack is between Apples, Beets, and Carrots. Students voted for their top three from best to least. The results are: ABC : 41 BAC : 26 CAB : 42 How many votes will A have in total after B is eliminated due to the Hare method
Answer: after eliminating B due to Hare Method, A will have a total of 67 VOTES
Step-by-step explanation:
Given that;
The results are
ABC : 41
BAC : 26
CAB : 42
NOW
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
C>A>B = 42 ⇒ C has 42 votes
According to Hare method, least votes gainers will be eliminated and once eliminated, his/her/its votes will be transferred to the next choice of person/thing.
based on the question; B will be eliminated
so we have;
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
we eliminate B, the votes are transferred to the next (A)
A>C = 26 ⇒ A has 26 votes
C>A>B = 42 ⇒ C has 42 votes
SO in total
A votes = 41 + 26 = 67 VOTES
Therefore after eliminating B due to Hare Method, A will have a total of 67 VOTES
After eliminating B due to Hare Method, A will have a total of 67 votes
We have given that,the results are
ABC : 41
BAC : 26
CAB : 42
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
C>A>B = 42 ⇒ C has 42 votes
What is the Hare method?
The Hare method is least votes gainers will be eliminated and once eliminated,The votes will be transferred to the next choice of person/thing.
From the given question we have B will be eliminated
Therefore we have
A>B>C = 41 ⇒ A has 41 votes
B>A>C = 26 ⇒ B has 26 votes
We eliminate B, the votes are transferred to the next (A)
A>C = 26 ⇒ A has 26 votes
C>A>B = 42 ⇒ C has 42 votes
Therefore the total votes are
A votes = 41 + 26 = 67 votes
Therefore after eliminating B due to Hare Method, A will have a total of 67 votes.
To learn more about the votes visit:
https://brainly.com/question/3710029
Solve for x.
–30 = 5(x + 1)
Answer: x= -7
Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x
Please help i need answers for my assignment
Answer:
1) $14, 2) please see explanation below 3) please see explanation below
Step-by-step explanation:
1.
a) about $15-$1
b) Higher, because the estimate lowered the price that is being subtracted.
c) 15-1=14
Pedro has about $14 left over.
2.
a) 3 is the closes because to solve this question you divide 100.8 by 35. The product is 2.88, thus supporting that 3 is the closes answer.
b) 8 is the closes because to solve this question you divide 49.2oz by 6. The product is 8.2.
c) 0.04 is the closes because to solve this question you divide 20 by 0.78, resulting in 0.039.
3.
a) 2.49 times 6 = 14.88
His parents spent $14.88 on goodie bags
b) 150 divided by 8 = 18.75
His parents spent $18.75 per hour for the bounce house.
c) 14.88 + 18.75 = 33.63 and 182.53 - 33.63 = 148.90
His parents spent $148.90 on his birthday party excluding the goodie bags and bounce house
HOPE THIS HELPS <33333
-Silver
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answer:
[tex]x = y = z = 20[/tex]
Step-by-step explanation:
Given
[tex]Volume = 8000cm^3[/tex]
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
[tex]S = 2(xy + xz + yz)[/tex]
Volume of a box is:
[tex]V = xyz[/tex]
Make z the subject
[tex]z = \frac{V}{xy}[/tex]
Substitute 8000 for V
[tex]z = \frac{8000}{xy}[/tex]
Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]
[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]
[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]
Expand:
[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]
[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]
Differentiate S w.r.t x
[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]
Differentiate S w.r.t y
[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]
Equate both differentiation to 0
[tex]2x - \frac{16000}{y^2} = 0[/tex]
Multiply through by [tex]y^2[/tex]
[tex]2xy^2 - 16000 = 0[/tex]
[tex]2xy^2 = 16000[/tex]
Divide through by 2
[tex]xy^2 = 8000[/tex] -- (1)
[tex]2y - \frac{16000}{x^2} = 0[/tex]
Multiply through by x^2
[tex]2x^2y - 16000 = 0[/tex]
[tex]2x^2y = 16000[/tex]
Divide through by 2
[tex]x^2y = 8000[/tex] --- (2)
Divide (1) by (2)
[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]
[tex]\frac{x}{y} = 1[/tex]
[tex]x = y[/tex]
Substitute y for x in (1)
[tex]x^2y = 8000[/tex]
[tex]x^2 * x = 8000[/tex]
[tex]x^3 = 8000[/tex]
Take cube roots
[tex]x =20[/tex]
Hence;
[tex]x = y = 20[/tex]
Recall that:
[tex]z = \frac{8000}{xy}[/tex]
[tex]z = \frac{8000}{20 * 20}[/tex]
[tex]z = 20[/tex]
Hence, the dimension of the box that minimizes the surface area of the box is:
[tex]x = y = z = 20[/tex]
The expression on the left side of an equation is shown below.
3(x+1)+9=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
O 3(x+4)
0 24x+6) + x
O 4(x - 3) - x
O 3(x+1)+9x
Please help me this is 7th grade math all you have to do is find the slope for the graph if it is right i will give you brianliest
Answer:
-10/2 or -5 for the slope
Step-by-step explanation:
rise over run: it's going down 10 and over 2 or
for every 5 down it goes 1 over
A Galapagos tortise can walk 1/5 mile in an hour. How many hours would it take for the tortise to walk 1/6 mile?
Answer:
0.834 hours
Given that,
A Galapagos tortoise can walk 1/5 mile in an hour.
We need to find time would it take the tortoise to walk 1/6 mile.
1/5 mile = 1 hour
1 mile = 1/1/5 = 5 hours
For 1/6 mile = 1/6 *5 = 0.834 hours
It will take 0.834 hours to walk 1/6 mile.
I WILL GIVE BRAINLIST IF THE ANSWER IS RIGHT
state of these are like terms or a pair of terms
-6x, 10x
3y,6z
1/4k, 0.5k
Answer:
Pair of terms
Step-by-step explanation:
Help please due soon
Answer:
1. H=6
2. Y= -1
3. T= 2
4. D= 2.1
5. K= 0
6. -13 1/3
Step-by-step explanation:
write an equation of the line that is parallel to the line whose equation is 4y+9=2x and passes through the point (7,2)
Help I have like 10 minutes
Answer:
Option C
Step-by-step explanation:
please mark me brainliest and 5 star
Each dairy cow in the U.S. produces an average
of 25 quarts of milk per day. Given that there are
quarts in a gallon, how many gallons of milk does a
cow produce?
multiple choice question
The function f(x) is graphed on the coordinate plane?
Which equation represents the function graphed on the coordinate plane? ~
answer options below~
a. g(x)=|x+1|+3?
b. g(x)=|x+3|-1?
c. g(x)=|x-1|+3?
d. g(x)=|x+3|+1?
Answer:
b. g(x)=|x+3|-1
Step-by-step explanation:
2 + x to the power of 3= 18 what is x
Answer:
2.5198421
Step-by-step explanation:
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
Kareem is flying two kites. He has 104 feet of string out to one kite and 120 feet out to the other kite. The angle formed by the two strings is 36° as shown in
the figure below. Find the distance between the kites.
120
104
36 degrees
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a foot.
Submit Assignment
Type here to search
O
BI
2020 McGraw Education. All Rights Reserved. Terms of Use | Pracy i Accent
11:10 PM
12/11/2020
DEL
Answer: Manuel is flying two kites. He has
102
feet of string out to one kite and
111
feet out to the other kite. The angle between the strings is
36°
as shown in the figure below. Find the distance between the kites
Find the scale factor of trapezoid QRST if it’s dilated to Q’R’S’T’. Type your result in the empty box provided below. HELPP PLEASE!!!!!!
Answer:
5 units
Step-by-step explanation:
its hard to tell but i think it dilated 5 units
We want to find the scale factor at which QRST is dilated to form Q'R'S'T'
We will find that the scale factor is 2.
In a general dilation, we will see that all the measures change in the same way, by the scale factor.
This means that:
QR*k = Q'R'
RS*k = R'S'
And so on, where k is the scale factor.
Then we can just find one of the equivalent measures in both trapezoids and find the value of k.
For example, we have:
Q'R' = 8
QR = 4
Replacing these on the above equation we get:
4*k = 8
k = 8/4 = 2
k = 2
The scale factor of dilation is 2.
If you want to learn more, you can read:
https://brainly.com/question/14793702
Given `∆QRS≅∆TUV,` QS = 5v + 2, and TV = 8v - 7, find the length of QS
Answer:
3
Step-by-step explanation:
You have to equate them so...
5v+2=8v-7
I hope this helps you!