Answer: 1. V≈603.19
2. V≈103.67
3. V≈513.13
Step-by-step explanation: i only know those sorry :(
graph the circle x^2+y^2+2x+4y-44=0
plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:
1. Complete the square for the x-terms:
Rearrange the equation to group the x-terms together:
x^2 + 2x + y^2 + 4y = 44
To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:
x^2 + 2x + 1 + y^2 + 4y = 44 + 1
Simplify:
(x + 1)^2 + y^2 + 4y = 45
2. Complete the square for the y-terms:
To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:
(x + 1)^2 + y^2 + 4y + 4 = 45 + 4
Simplify:
(x + 1)^2 + (y + 2)^2 = 49
3. Identify the center and radius:
The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2
Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.
4. Plot the graph:
The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.
By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
For more questions on circle .
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Note the full question may be:
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.
how do you write a ratio?
Answer:
number : number
Step-by-step explanation:
for example, 1:3
this means 1 to 3
so for every 1 banana there are 3 apples
how many solutions to (x-3)(x-3) = 0
Answer: One solution
namely x=3. We have a product that's zero so the solutions come from each factor being zero; here the factors are the same so we only get one solution.
Answer:
Step-by-step explanation:I hope it's only one...
Factor the following equation:
x^2 -x-90
Answer:
(x - 10)(x + 9)
Step-by-step explanation:
[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]
What’s the value of the expression 16 -3/4
Answer:
15 1/4
Step-by-step explanation:
16-3/4
64/4-3/4
61/4
15 1/4
Pound: 1/2 __ 5 Ounces: __ 32 __
Answer:
pounds - ½, 2, 5
ounces - 8, 32, 80
Step-by-step explanation:
Joshua just bought a new fish tank. The tank is 14 inches tall and has a radius of 4 inches. How much water can Joshua put in the tank? Use 3.14 for pi. *
A. 703.36 cubic inches
B. 56 cubic inches
C. 224 cubic inches
D. 175.84 cubic inches
Answer:
V = 703.36 in³ (This matches answer option A.)
Step-by-step explanation:
This fish tank has a cylindrical shape. The formula for the volume of a cylinder of radius r and height h is
V = (pi)(r²)(h).
We are told that h = 14 in and r = 4 in. Using 3.14 for pi:
V = (3.14)(4 in)²(14 in) =
V = 703.36 in³ (This matches answer option A.)
Please help me now plz I will mark you brainliest
Answer:
On the circle
Step-by-step explanation:
Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:
[tex]\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex], meaning that it is on the circle. Hope this helps!
Domain represents which of the following?
A. slope
B. x values
C. y values
D. maximum
Answer:
b
Step-by-step explanation:
Which dimensions cannot create a triangle? a three sides measuring 6 cm, 8 cm, and 10 cm b three angles measuring 40 degrees, 70 degrees, and 65 degrees c three angles measuring 10 degrees, 25 degrees, and 145 degrees d three sides measuring 9 m, 15 m, and 9 m
Answer:
A,C,D are triangles, B is not.
Step-by-step explanation:
Let 3 sides of a triangle be a,b,c.
A triangle have the sum of 3 angles = 180 degree
and
a-b<c<a+b (similar for a and b)
a. three sides measuring 6 cm, 8 cm, and 10 cm
Satisfied the a-b<c<a+b property -> triangle
b. three angles measuring 40 degrees, 70 degrees, and 65 degrees
Total of 3 angles = 40+70+65 = 175 > 180
-> not triangle
c. three angles measuring 10 degrees, 25 degrees, and 145 degrees
Total of 3 angles = 10+25+145 = 180
-> triangle
d. three sides measuring 9 m, 15 m, and 9 m
Satisfied the a-b<c<a+b property -> triangle
Answer:
C
All triangle must equal 180, 40 + 70 + 65 = 175
keisha estimates 259 + 279 by rounding each number to the nearest 10. what is keisha's estimate of the sum?
Answer:
540
Step-by-step explanation:
259 + 279 = 538
Rounded to nearest 10
= 540
Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
Answer:
8(a+2c)
Step-by-step explanation:
Answer:
C. 8(a + 2c)
Step-by-step explanation:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after a days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet
Correct question:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.
Answer: 2 hours
Step-by-step explanation:
Everyday Kim practices volleyball and clarinet = v/ball + clarinet
Everyday volleyball practice = 2.5hours
That is clarinet(hours) + 2.5 hours of volleyball
After 8 day, total practice hours of both volleyball and clarinet equals 36 hours
The above information can be represented mathematically as thus:
Let h = hours per day of clarinet
8(h + 2.5) = 36
8h + 20 = 36
8h = 36 - 20
8h = 16
h = 16/8
h = 2
What are the answers on the sheet to the math paper "What did the teenage yardstick say to its parents? "
Answer:
I want to stand on my own three feet
Step-by-step explanation:
can someone help me with algebra 2 with an explanation?
Answer: This took me a long time to type, hope you read it and find it helpful and easy to understand...
1. [tex]x=1[/tex]
2. [tex]x=\frac{3}{2}[/tex]
3. [tex]x=1[/tex]
4. [tex]x=\frac{6}{5}[/tex]
Step-by-step explanation:
1.
[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]
To make it easier to add / subtract fractions, we are looking for common denominators. I can see that if I move the fraction on the left with a denominator 3x to the right, I'll be able to add two equations with like denominator.
Let's add [tex]\frac{x-2}{3x}[/tex]
[tex]\frac{1}{x}=\frac{4}{3x}+\frac{x-2}{3x}[/tex]
Add the numerators and keep the same denominator.
[tex]\frac{1}{x}=\frac{4+x-2}{3x}[/tex]
[tex]\frac{1}{x}=\frac{2+x}{3x}[/tex]
To get rid of the denominator x on the left side, we can multiply by x.
[tex](x)\frac{1}{x}=\frac{2+x}{3x}(x)[/tex]
[tex]1=\frac{2+x}{3}[/tex]
Now multiply by 3.
[tex](3)1=\frac{2+x}{3}(3)[/tex]
[tex]3=2+x[/tex]
Subtract 2.
[tex]3-2=x\\1=x[/tex]
The value of x is 1.
Proof.
[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]
[tex]\frac{1}{1}-\frac{1-2}{3(1)}=\frac{4}{3(1)}[/tex]
[tex]1-\frac{-1}{3}=\frac{4}{3}[/tex]
[tex]1+\frac{1}{3}=\frac{4}{3}[/tex]
[tex]\frac{1*3+1}{3} =\frac{4}{3}\\\frac{4}{3}=\frac{4}{3}[/tex]
I can't show the proof to the following problems because I have a 5000 character limit.
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2.
[tex]\frac{5x-5}{x^2-4x} -\frac{5}{x^2-4x}=\frac{1}{x}[/tex]
Again, we have like denominators, therefore, we can simply subtract the numerators and keep the same denominator.
[tex]\frac{5x-5-5}{x^2-4x}=\frac{1}{x}[/tex]
[tex]\frac{5x-10}{x^2-4x}=\frac{1}{x}[/tex]
Again, we can multiply by x to get rid of the x in the denominator.
[tex](x)\frac{5x-10}{x^2-4x}=\frac{1}{x}(x)[/tex]
Do not distribute the x in the numerator yet because we're gonna eliminate it later.
[tex]\frac{(x)(5x-10)}{x^2-4x}=1[/tex]
Factor the denominator.
[tex]\frac{(x)(5x-10)}{(x)(x-4)}=1[/tex]
Simplify x's.
[tex]\frac{5x-10}{x-4} =1[/tex]
Multiply by x-4 to get rid of the denominator.
[tex](x-4)\frac{5x-10}{x-4} =1(x-4)[/tex]
[tex]5x-10=x-4[/tex]
Add 10
[tex]5x=x-4+10[/tex]
Subtract x
[tex]5x-x=-4+10[/tex]
Combine like terms;
[tex]4x=6[/tex]
Divide by 4.
[tex]\frac{4x}{4}=\frac{6}{4}[/tex]
[tex]x=\frac{6}{4}[/tex]
Simplify by 2.
6/2 = 3
4/2 = 2
[tex]x=\frac{3}{2}[/tex]
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3.
[tex]\frac{x^2-7x+10}{x}+\frac{1}{x}=x+4[/tex]
Same denominator, add numerators.
[tex]\frac{x^2-7x+10+1}{x}=x+4[/tex]
[tex]\frac{x^2-7x+11}{x}=x+4[/tex]
Multiply by x to get rid of the x.
[tex](x)\frac{x^2-7x+11}{x}=(x+4)(x)[/tex]
[tex]x^2-7x+11=x^2+4x[/tex]
Subtract [tex]-x^2-4x[/tex]
[tex]x^2-7x+11-x^2-4x=0[/tex]
Combine like terms;
[tex]-11x+11=0[/tex]
Subtract 11.
[tex]-11x=-11[/tex]
Divide by -11
[tex]x=\frac{-11}{-11} \\x=1[/tex]
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4.
[tex]\frac{x^2+7x+10}{5x-30}+\frac{x}{x-6}=\frac{x^2-13x+40}{5x-30}[/tex]
It's easier if you move the operation with denominator x+6 to the right side with negative sign and bring the operation on the right side to the left side with negative sign as well.
[tex]\frac{x^2+7x+10}{5x-30}-\frac{x^2-13x+40}{5x-30}=-\frac{x}{x-6}[/tex]
Now, since we have the same denominators, we can simply subtract numerators.
[tex]\frac{x^2+7x+10-(x^2-13x+40)}{5x-30} =-\frac{x}{x-6}[/tex]
Distribute the negative sign.
[tex]\frac{x^2+7x+10-x^2+13x-40}{5x-30} =-\frac{x}{x-6}[/tex]
Combine like terms;
[tex]\frac{20x-30}{5x-30}=-\frac{x}{x-6}[/tex]
Factor.
I can see that I can factor a 5 on both numerator and numerator. This will allow me to simplify them.
[tex]\frac{(5)(4x-6)}{(5)(x-6)} =-\frac{x}{x-6}[/tex]
Simplify.
[tex]\frac{4x-6}{x-6}=-\frac{x}{x-6}[/tex]
Multiply by x-6
[tex](x-6)\frac{4x-6}{x-6}=-\frac{x}{x-6}(x-6)[/tex]
This will simplify the denominators.
[tex]4x-6=-x[/tex]
Add x and 6.
[tex]4x+x=6\\[/tex]
Combine like terms;
[tex]5x=6[/tex]
Divide by 5.
[tex]x=\frac{6}{5}[/tex]
When a grizzley bear hibernates it normal heart rate drops 10 beats per mintue which is 20% of it normal vaule. What is the grizzley bear normal heart rate when not hibernation
Answer:
the normal heart rate of the grizzley bear = 12.5 beats per minute
Step-by-step explanation:
let the normal heart rate = x
hibernating heart rate = 20% of normal value = x - 10
20% of x = x - 10
20/100 of x = x - 10
0.2 × x = x - 10
0.2x = x - 10
x - 0.2x = 10
0.8x = 10
x = 10 ÷ 0.8 = 12.5 beats per minute
Which solution set is graphed on the number line?
Answer:
An inequality, such as x>2 can be graphed on the number line.
Step-by-step explanation:
An inequality, such as x>2 can be graphed on the number line. An open circle as a stating point, indicates the number is NOT included in the solution. Where as a closed circle or "dot" indicates the number IS included in the solution.
Answer:
An inequality, such as x>2 can be graphed on the number line.
Step-by-step explanation:
The base of a rectangular prism has an area of 252525 square meters. The height of the rectangular prism is 444 meters. What is the volume, in cubic meters, of this rectangular prism?
Answer:Height:
15.8 meters
Explanation: For a rectangular prism: XXX Volume = height × width × depth and XXX Area (of base) = width × depth ⇒ height = Volume Area = 306.52
19.4 = 15.
Answer: 100 CUBIC METERS
Step-by-step explanation:
A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Answer: 0.182
Step-by-step explanation:
For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:
p1 = 5/(6 + 5) = 5/11
In the second selection we have the same equation, but now we have 4 milk chocolate bars (because one is alredy taken)
p2 = 4/(4 + 6) = 4/10
the joint probability is:
P = p1*p2 = (5/11)*(4/10) = 0.182
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
A =70 ft^2
Step-by-step explanation:
The area of the triangle is equal to
A = 1/2 bh where b is the base and h is the height
A = 1/2 (20) *7
A =70 ft^2
20 POINTS FOR 2 QUESTION PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
8.a 9.acb
Step-by-step explanation:
good luck
What is 1+1= Lol :) JUST ANSWER PLZZ
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answer:
A.Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.
The exponential function that models this problem must be like
[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.
Let's use the points (10, 7500)
[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]
Solving for [tex]r[/tex], we have
[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]
Using logarithms, we have
[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]
Replacing all values in the model, we have
[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]
Therefore, the right answer is the first choice, that's the best approximation to this situation.
Answer:
A. y = 9,958(0.972)x
Step-by-step explanation:
(PLEASE HELP QUICKLY) Melanie and her children went into a grocery store and she bought $14 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. She bought a total of 11 apples and bananas altogether. By following the steps below, determine the number of apples, x, and the number of bananas, y, that Melanie bought.
Make up 3 solutions
Answer:
6 apples and 5 bananas
Step-by-step explanation:
x + y = 11
x = 11 - y
1.75x + 0.70y = 14
1.75(11 - y) + 0.7y = 14
19.25 - 1.75y + 0.7y = 14
5.25 = 1.05y
y = 5
x = 11 - 5 = 6
Answer:
3 apples and 7 bananas
Step-by-step explanation:
sry thats 1
Math
Which quantity is proportional to
18/6?
Check all that are true.
Answer: There isnt enough information to asnwer
Step-by-step explanation:
Answer:
36⁄12
Step-by-step explanation:
A diver dives to 50 feet in 10 minutes, stays there for 30 minutes, and then resurfaces in 10 minutes. Click on the graph until the graph that best represents the given statement appears.
Answer:
50x5
Step-by-step explanation:
The question is an illustration of a distance-time graph.
From the question, we have the following highlights
The distance in the first 10 minutes is 50 feet. i.e. (10, 50)He stays at 50 feet for 30 minutes i.e. (40, 50)Then comes out after 10 minutes i.e. (50, 0)The graphs are not given, so I will attach the graph that represents the scenario.
See attachment for the graph that answers the question.
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De’Andre is determining the volume of the triangular prism below. Which expression will give him the correct value of B, the area of the base?
Answer:
the other person is incorrect it is 3 x 3 / 2
Step-by-step explanation:
this is my question
The volume of the given triangular prism is 31.4937 cubic inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
From the given triangular prism
Base side a =3 in
Base side b=3 in
Base side c=4.2
height h=7 in
The formula to find the volume of triangular prism
Volume = 1/4h√-a⁴+2(ab)²+2(ac)²-b⁴+2(bc)²-c₄
Substituting the values in the formula we get
Volume =31.4937
Hence, the volume of the given triangular prism is 31.4937 cubic inches
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Please Help! ASAP! WIll give Brainliest
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
x/2 = 12.5/5
5 · x = 12.5 · 2
5x = 25
5x / 5 = 25 / 5
x = 5
Step-by-step explanation:
Calculate the surface area of the triangular prism.
Answer:
120 square centimeters
Step-by-step explanation:
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 4 to 7. The box extends from 7 to 14 and is divided into 2 parts by a vertical line segment at 10. The right whisker extends from 14 to 18. All values estimated. About what percent of Brad's fantasy football leagues have fewer than 7 teams? Choose 1 answer: (Choice A) 0% (Choice B) 25% (Choice C) 50% (Choice D) 75% (Choice E) 100%
The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.
The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.