Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than the volume of the toy ball?
A.THE VOLUME OF THE BALL IS 904 CUBIC INCHES. b. THE VOLUME OF THE BEACH BALL IS 678 CUBIC INCHES. c.the volume of the beach ball is 452 cubic inches
Answers:
Volume of beach ball = 904 cubic inchesVolume of toy ball = 113 cubic inchesThe beach ball is 8 times greater compared to the toy ball===============================================
Work Shown:
Beach ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6
V = 904.32
V = 904 cubic inches is the approximate volume of the beach ball
------------------------
Toy ball
V = volume of sphere
V = (4/3)*pi*r^3
V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3
V = 113.04
V = 113 cubic inches is the approximate volume of the toy ball
--------------------------
Divide the two volumes to find that 904/113 = 8
This means that the beach ball is 8 times greater in volume compared to the toy ball
We can say
[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]
The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is 6,333.
Hope this helps.
Extra Example 3: Hazel has $23.28 in her purse. She has $5.60 more than Nixon.
Paul says that Nixon has $28.88. Yolanda says that Nixon has $17.68. Who is
correct?
Answer:
Yolanda is correct.
Step-by-step explanation:
If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.
The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.
A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9
Answer:
1/12
Step-by-step explanation:
What is the solution to the inequality 7x + 2 < -3x + 1?
Ο Α. α
<
3
4
ОВ. І
>
Alco
1
2
<
10
O D.
2
>
10
Answer:
and DJ ssksb did did isbn dhe9susaew7s ene 8th box hcm box bro sb d
Step-by-step explanation:
ishdbd works zjsbdjs s nsie djsid
А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С
Answer:
168 meters squared
Step-by-step explanation:
So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.
So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m
38-14=24
so now we know that the side is 24 and we can solve for the area
24*7=168
so the answer is 168 meters squared
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
I need help please it’s due tomorrow
Answer:
<E(it is obtuse), <C, <D
The angle opposite to the longer side is greater than the angle opposite to the shorter side
^^for the second one use the same logic <C, <B, <A
My little cousin took a STAR math test and she wanted to know if her score is good she got a 923 score on her STAR math test and she is in 8th grade did she do good or? She was really curious and wanted me to answer this question lol
I guesse she did pretty good lol :D
Which fraction is equivalent to the whole number 8?
Answer:
16/2, 32/4, 64/8 ...
Step-by-step explanation:
There are multiple fractions that equal 8
Someone please help me answer this
Answer:
2^10
Step-by-step explanation:
When multipying indices, if the base is the same then just add the indices.
A line's graph is shown. Write an equation for the line.
Answer:
Step-by-step explanation:
the equation for the line is y = 4
Find the nth term of the following arithmetic sequence.
f(1) = -7, d=3, n = 17
Answer:
f(n)=17+3(n-1)
f(17)=65
Step-by-step explanation:
arithmetic sequences are in form:
f(n)=f(o)+d(n-1)
f(1)=17=f(0)
f(n)=17+3(n-1)
f(17)=17+3(16)=65
The weight of the load varies
directly with the number of boxes
in the load. A load of 18 boxes
weighs 600 lbs. What does a load
of 12 boxes weigh?
The weight varies directly with the number of boxes, so this means every box weighs the same amount.
Find the weight of a box by dividing the known weight by the number of boxes:
600 pounds / 16 boxes = 37.5 pounds per box.
Now multiply the weight per box by the number of boxes:
37.5 pounds x 12 boxes = 450 pounds
12 boxes weigh 450 pounds
Which relationships describe angles 1 and 2?
Select each correct answer.
Answer:
3
Step-by-step explanation:
What was the shortest measurement?
Length of insects (in inches)
Answer:
[tex]1\frac{1}{2}[/tex] inches
Step-by-step explanation:
The shortest measurement is the smallest number with a x over it. In this case, the smallest one is [tex]1\frac{1}{2}[/tex] inches.
The half-life of a radioactive kind of barium is 3 minutes. How much will be left after 6
minutes, if you start with 80 grams of it?
Answer:
20 Grams will be left after 6 minutes.
Step-by-step explanation:
If triangle ABC is similar to triangle PQR, find the value of x and y.
Answer:
x = 9
y = 6
Step-by-step explanation:
ΔABC ~ ΔPQR
Therefore, corresponding sides of these similar triangles will be in the proportional.
[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]
[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]
[tex]\frac{6}{x}= \frac{8}{12}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]
y = [tex]\frac{12\times 4}{8}[/tex]
y = 6
125^2x = 5^4x-4 solve for x
Answer:
x=-2
Step-by-step explanation:
[tex]125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2[/tex]
Simplify: (3y^4 - 2y^2 + 3y - 2) - (-4y^4 - 2y^2+ 3)
Answer:
7y^4+3y-5
Step-by-step explanation:
A partially completed equation for a line is shown below. If the line passes through the point (-4, 6). Write the equation for the line.
y=-3x+by=−3x+b
Answer:
Nice
Step-by-step explanation:
Karma..... ;)
Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?
Answer:
He made $414.90 in all.
Step-by-step explanation:
56.25 * 6 = $337.50
25.80 * 3 = $77.40
77.40 + 337.50 = $414.90
1) f(x) = x 2+ 3x - 18 2) g(x) = x 2+ 2x - 120 3) h(x) = x 2+ 7x - 17 4) k(x) = x 2+ 9x + 20.25 5) s(x) = 4x 2– 5x - 21 6) t(x) = 16x 2+ 9x + 20 7) f(x) = -2x 2+ 10x - 5 8) r(x) = -3x 2- 5x + 2
Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)
Answer:
438 x 934=409092
Step-by-step explanation:
I hope this helps.
2(x + 3)=x - 4
help me
Answer:
x = -10
Step-by-step explanation:
2(x+3) = x-4 --> multiply (x+2) times 2
2x+6 = x - 4 --> subtract x from both sides
x+6 = -4 --> subtract 6 from both sides
x = -10
Answer:
x = -10
Step-by-step explanation:
Simplify both sides of the equation.
2 (x+3) = x − 4
(2) (x) + (2) (3) = x + −4 (Distribute)
2x + 6 = x + − 4
2x + 6 = x − 4
Subtract x (1x) from both sides
2x + 6 − x = x − 4 − x
x + 6 = − 4
Subtract 6 from both sides
x + 6 − 6 = − 4 − 6
x = -10
Find the length of the third side. If necessary, round to the nearest tenth.
24
14
Answer:
The answer is 19.49
Step-by-step explanation:
Hope this help you
Answer:
19.5
Step-by-step explanation:
19.49= 19.5
because of the nearest tenth
Find the 89th term of the arithmetic sequence 25, 35, 45, ...
Answer:
905
Step-by-step explanation:
arithmetic sequence are in form
a(n)=a(0)+d(n-1)
a(0)=25
common difference: d=35-25=10
a(n)=25+10(n-1)
a(89)=25+10(88)=905
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Gabriella is drawing a diagram of a ramp for science class part of the diagram Is shown.
answer is 30°
50-20=30°
hope it helps
Find the distance between (3,1) and (0,1).
A)
1 square 3
B)
1
C)
2
D)
3
The distance between (3,1) and (0,1) is 2. So option C is the right answer. The distance can be calculated by using formula Distance= Sq.root (x2-x1)^2+(y2-y1)^2)
Given two points are (3,1) and (0,1)
What is the formula for distance when two points are given?Distance= Sq.root (x2-x1)^2+(y2-y1)^2)
Here x2=1, x1=3, y2=1, y1=0
Distance=Root (1-3)^2+(1-1)^2
=sq.Root(4)
The root of 4 is 2
=2
Therefore distance between (3,1) and (0,1) is 2
To learn more about distance between two points click here: https://brainly.com/question/16319826
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