Answer:
Center: (0, 0)
Radius: 4
Step-by-step explanation:
Circle Standard Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
We see that our h and our k are both 0.
∴ Our center is (0, 0), origin.
We see that our r² = 16
√r² = √16
∴ Our radius is equal to 4
Simplify.
(3x2−2x+2)−(x2+5x−5)
4x2+3x−3
2x2−7x+7
2x2−3x−3
2x2+3x−3
Answer:
2x2+3x-3
Step-by-step explanation:
The first thing you want to do is find all the X2"s and add those together and that looks like this 3x2+(-x2) which would be 2x2. Then you want to find all of the x's and add them together which looks like this -2x+5x which is 3x. Then you find all the whole numbers without a variable and that's 2-5 which equals to be -3.
1
Tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is shown in the table.
Section
Red
Blue
Orange
Yellow
Number of Times
Arrow Landed on
23
8
10
9
Based on the results in the table, what fraction of the area of the spinner is most likely represented by the Red section?
А.
SO
O B. 3
Ос. 4
O D. 1 / 4
Answer:
Area covered by red target = 23/50
Step-by-step explanation:
Given:
Total number of shot = 50
Section Number of shots
Red 23
Blue 8
Orange 10
Yellow 9
Find:
Area covered by red target
Computation:
Area covered by red target = 23/50
Area covered by red target = 1/2 of total area
Answer:
The fraction of the area of the Red section is [tex]\dfrac{23}{50}[/tex]
Step-by-step explanation:
Given that,
The number of times the arrow landed on each colored section of the spinner is shown in the table.
Tamara spun the arrow on a spinner 50 times.
Section = Red, Blue, Orange, Yellow
Number of times arrow landed = 23, 8, 10, 9
We need to calculate the fraction of the area of the Red section
Using formula of fraction of area
[tex]fraction\ of\ area=\dfrac{Red\ section}{total\ section}[/tex]
Put the value into the formula
[tex]fraction\ of\ area=\dfrac{23}{50}[/tex]
Hence, The fraction of the area of the Red section is [tex]\dfrac{23}{50}[/tex]
For which values of a the system has at least one solution: 1.x≤7 ,x≥a
Given:
The system of inequalities
[tex]x\leq 7[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has at least one solution.
Solution:
We have,
[tex]x\leq 7[/tex] ...(i)
It means all real values of x which are less than or equal to 0.
[tex]x\geq a[/tex] ...(ii)
It means all real values of x which are greater than or equal to a.
Using (i) and (ii), we get
[tex]a\leq x\leq 7[/tex]
The value of x is lies in the interval [a,7].
It means, if the value of a is less than or equal to 7, then system has at least one solution.
But if a is more than 7, then the system of inequalities have to solution.
Therefore, the value of a must be less than or equal to 7.
If BC = x − 2, CD = 19, and BD = 3x − 11, what is BD? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you please type the answer in a step by step.
Answer:
UV = 15
BD= 31
Step-by-step explanation:
Since, U is the midpoint of TV.
Therefore,
TU = UV
x + 10 = 3x
x - 3x = - 10
-2x = - 10
x = - 10/-2
x = 5
UV = 3x = 3*5
UV = 15
BD = BC + CD
3x - 11 = x - 2 + 19
3x - 11 = x + 17
3x - x = 11 + 17
2x = 28
x = 28/2
x = 14
BD = 3x - 11 = 3*14-11 = 42 - 11
BD= 31
how many cookies can be made with 12 eggs
Answer:
It varies depending on the measurements of the other ingredients that are being used.
Step-by-step explanation:
Suppose PR = 54, solve for QR
4x-1
3x-1
P
R
Answer:
[tex] QR = 23 [/tex]
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
[tex] PQ = 4x - 1 [/tex]
[tex] QR = 3x - 1 [/tex]
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
[tex] PQ + QR = PR [/tex]
[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)
Solve for x
[tex] 4x - 1 + 3x - 1 = 54 [/tex]
Combine like terms
[tex] 4x + 3x - 1 - 1 = 54 [/tex]
[tex] 7x - 2 = 54 [/tex]
Add 2 to both sides
[tex] 7x - 2 + 2 = 54 + 2 [/tex]
[tex] 7x = 56 [/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{56}{7} [/tex]
[tex] x = 8 [/tex]
[tex] QR = 3x - 1 [/tex]
Plug in the value of x into the equation
[tex] QR = 3(8) - 1 = 24 - 1 [/tex]
[tex] QR = 23 [/tex]
Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.
Vertical plane x intersects horizontal plane y. Line R S is horizontal on plane y. Lines A B and C G are vertical and beside each other on plane x. A right angle is indicated between the lines on the y plane and x plane. Lines A B and D G are parallel.
Which statements are true? Select three options.
Line A B and Line C G are parallel.
Line A B and Line R S are parallel.
Line C G and Line R S are perpendicular.
Line A B and Line R S must intersect.
Line segment C G lies in plane X.
Line segment R S lies in plane X.
Answer:
Line A B and Line C G are parallel.
Line C G and Line R S are perpendicular.
Line segment C G lies in plane X.
Step-by-step explanation:
On my moma my answer 100%
The following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
What are parallel lines?When the two lines lie in the same plane then they are said to be parallel lines.
Given information:
Planes X and Y intersect at a right angle.
Lies in plane X and do not intersect.
A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and options A is the correct option.
B) Line AB and Line RS are parallel: As the line, AB lies in the plane X and the line RS lies in the plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.
C)Line CG and Line RS are perpendiculars: As the line CG lies in the plane x and the line RS lies in the plane Y. Thus both are perpendicular. Option C is the correct option.
D) Line AB and Line RS must intersect: line RS passes from the middle of the plane Y and line AB passes from the left of the plane X centre. Thus they do not intersect each other. Option D is the incorrect option.
E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.
F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.
Hence, the following statements are true:
Line AB and line CG are parallel.
Line CG and line RS are perpendicular.
Line segment CG lies in plane X.
Learn more about the parallel line here:
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Order the numbers from least to greatest.
1.3 ,-2, 1.8 , 0, -1.75
Answer:
-2 , -1.75 , 0 ,1.3 , 1.8Step-by-step explanation:
[tex]1.3 ,\:-2,\: 1.8 , \:0,\: -1.75[/tex] =
[tex]-2 , -1.75 \:, 0\: ,1.3 \:, 1.8[/tex]
A negative number is a always smaller than a positive number.
The smallest negative number among the given set of data is ; -2.
The largest positive number is 1.8
odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .21
Step-by-step explanation:
Odds against = failures / successes
Probability = successes / (successes + failures)
0.21 = cats / (cats + no cats)
1 / 0.21 = (cats + no cats) / cats
4.76 = 1 + (no cats / cats)
3.76 = no cats / cats
So the odds against are 3.76 to 1.
Cora works at a small airfield where she fuels planes. She fills a Canadian plane with 125 gallons of fuel, but the pilot wants a receipt that shows the total number of liters purchased. How many liters are on the receipt Cora provides? A. 475.250 liters B. 473.176 liters C. 480.005 liters D. 479.215 liters
Answer: B. 473.176
Step-by-step explanation: 3.78541 Liters are in one gallon, so if you multiply 3.78541 Liters by 125 gallons then you will end up with 473.176 liters. If you have to add tax then it would be A. 475.250
Organisms A and B start out with the same population size. Organism A's population doubles every day. After 5 days, the population stops growing and a virus cuts it in half every day for 3 days. Organism B's population grows at the same rate but is not infected with the virus. After 8 days, how much larger is organism B's population than organism A's population? Answer the questions to find out. The expression showing organism A's decrease in population over the next 3 days is ( 1 2 ) ( 2 1 ) 3 . This can be written as (2–1)3. Write (2–1)3 with the same base but one exponent.
Answer:
The number of times organism B's population is larger than organism A's population after 8 days is 32 times
Step-by-step explanation:
The population of organism A doubles every day, geometrically as follows
a, a·r, a·r²
Where;
r = 2
The population after 5 days, is therefore;
Pₐ₅ = = 32·a
The virus cuts the population in half for three days as follows;
The first of ta·2⁵ he three days = 32/2 = 16·a
The second of the three days = 16/2 = 8·a
After the third day, Pₐ = 8/2 = 8·a
The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;
P₈ = a·2⁸ = 256·a
Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times
Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.
• She used a coupon for $3.00 off the total price of the items she
This expression can be used to determine the price of the items Nakit
(2(3.50 -0.80) + 4.85 + 2.40) – 3.00
What is the price of the items Nakita bought?
A $6.95
B $10.45
C $9.65
D $12.65
tristan bought an orange that weighs 1 8th of a pound
1. Name the property the equation illustrates.
–2.1 × 1 = –2.1
Multiplication Property of –1
Inverse Property of Multiplication
Identity Property of Addition
Identity Property of Multiplication
2. Name the property the equation illustrates.
8.2 + (–8.2) = 0
Inverse Property of Multiplication
Addition Property of 0
Identity Property of Addition
Inverse Property of Addition
Answer:
1) ident. prop. of mult.
2) add. prop. of add.
Step-by-step explanation:
have a good day!
-75 - 82 plus 83 plus 54
Answer:
Hey!
Your answer is -20!
Step-by-step explanation:
(-75) - 82 gives us = -157
(-157) + 83 gives us = -74
(-74) + 54 gives us = -20
I HOPE THIS HELPED!
Answer:
The person above me is correct
Step-by-step explanation:
Convert 2.42 to percent
Answer:
242%
Step-by-step explanation:
Answer:
242%
Step-by-step explanation:
Whole numbers are a 100% each, so there's 200%. Tenths are 10% every tenth, so 40%, and hundredths are 1% every hundredth, so 2%.
200+40+2=242%
If it was helpful, could you plz consider giving me brainliest?
Look at the table showing different prices for oranges.
Prices for Oranges
Price A
Price B
Price C
$2.25 for 6
$1.30 for 4
$0.97 for 2
Which gives the prices in order, from least to greatest unit rate?
Price B, Price A, Price C
Price C, Price B, Price A
Price C, Price A, Price B
Price B, Price C, Price A
nswer:
1st Option is correct that is Price B , Price A , Price C
Step-by-step explanation:
0.33 < 038 < 0.49 ⇒ Price B < Price A < Price C
Approximately, it's going least to greatest
2.25/6=0.33
1.30/4= 0.38
0.97/2 = 0.49 ALL ROUNDED
Answer:
its the first one
Step-by-step explanation:
hope that helps
Which line is parallel to y=2/3x+1 and passes through the point (1, 1)? a) y=2/3(x-1) b) y-1=-3/2(x-1) c) y-1=2/3(x-1) d) y=-3/2x-1
Answer:
The answer is option CStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
Equation of original line is y = ⅔x + 1
Comparing with the general equation above
Slope = 2/3
Since the lines are parallel their slope are also the same
Slope of parallel line = 2/3
So the equation of the line using point
( 1,1) and slope 2/3 is
[tex]y - 1 = \frac{2}{3} (x - 1)[/tex]Hope this helps you
Answer:
C
Step-by-step explanation:
NEED HELP NOW!!!! find the measure of the angle BXE using the figure below
Answer:
bxe is a triangle
Step-by-step explanation:
which systems of equations have no Solutions
Answer:
Inconsistent System of Equations
Explanation:
There is no solution for the system of equations that graphs as parallel lines.
Parallel lines never cross, therefore there is no intersection. This is an inconsistent system of equations.
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What is 178.80 as a fraction?
Answer: 178 4/5 or as an improper fraction 894/5
Hope this helps!
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find the value of each variable. write your answers in simplest radical form
Answer:
y=3.364
x=4
Step-by-step explanation:
hope this helps
Find the distance between the two points (5, -3) and (2, 5). Simplify your answer, and write the exact answer in simplest radical form for an irrational answer.
Answer:
(3.5, 1)
Step-by-step explanation:
Given that the 3rd term in an arithmetic sequence is -2 and the 7th term is -10, tell me what the 1st term in the sequence is. Explain how you know.
Answer:
2
Step-by-step explanation:
a₃ = -2
a₇ = -10
The nth term of an arithmetic sequence is:
a = a₁ + d (n − 1)
Therefore:
-2 = a₁ + d (3 − 1) = a₁ + 2d
-10 = a₁ + d (7 − 1) = a₁ + 6d
Subtract the equations:
8 = -4d
d = -2
Plug into either equation to find the first term.
-2 = a₁ + 2(-2)
a₁ = 2
how to combine two integers
The simplest approach to do this is:
Convert both numbers to string
Concatenate both strings into one, as this is comparatively easy
Convert this concatenated string back to integer
Step-by-step explanation:
Given two integers n1 and n2, the task is to concatenate these two integers into one integer.
Example:
Input: n1 = 12, n2 = 34
Output: 1234
Input: n1 = 1, n2 = 93
Output: 193
Answer these questions please
Step-by-step explanation:
hope This helps for you
Answer:
Step-by-step explanation:
Common factors are the number's , variables found in each of the terms
1) 21x²y = 3 * 7 * x * x * y
35xy² = 5 * 7 * x * y * y
Common factor = 7 * x * y
= 7xy
Answer :(iii) 7xy
2)a² - b² = (a + b)(a - b)
1 - x² = (1 - x) (1 +x)
(ii)
3) x³ - x = x(x² - 1)
= x(x + 1)(x - 1)
Answer: (iv)
4) 225 = 15 * 15 = 15²
x³ - 225x = x(x² - 225)
= x(x² - 15²) {a² - b² =(a + b)(a - b)}
= x(x + 15)(x - 15)
Answer: (ii)
5) 12a²b = 3 * 4 * a * a * b
15ab² = 3 * 5 * a * b * b
Common factor = 3 * a * b = 3ab
12a²b + 15ab² = 3*4*a²*b + 3*5*a*b²
= 3ab (4a + 5b)
Answer:(ii)
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 3/5 of what remained. How many copies does the bookstore have left?
Answer: 8 copies
Step-by-step explanation:
1/3 of 60 is 20. 1/5 of 40 is 8. 8x3=24, 40-24=16
What is the meaning of the expression (4 + 5) x 2?
Answer:
18.
Step-by-step explanation:
4+5 is 9, and 9 times 2 is 18
solve. 20 x 10⁵ = what i only have 5 minutes to answer this
Answer:
2000000
Step-by-step explanation:
20 x 100,000
Answer:
2000000 or 2×10^6
Step-by-step explanation:
[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]
60 divided (6 1/7 - 1/7) x 4