The equation of the circle represented by the pizza is x^2 + y^2 = 4
How to determine the equation of the circle?The given parameters are:
Radius, r = 2
Center, (a,b)= (0,0) i.e. origin
The equation of the circle is calculated as:
(x - a)^2 + (y - b)^2 = r^2
This gives
(x - 0)^2 + (y - 0)^2 = 2^2
Evaluate the exponents
x^2 + y^2 = 4
Hence, the equation of the circle is x^2 + y^2 = 4
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Please help!
A card is selected at random from the set of cards below.
A sample space for the experiment is {F, G, H, J, K, L, M}. Let W represent the event “the card is white”, let S represent “the card is shaded”, and let E represent “the number is even”. Select all that apply.
A. The event S is {F, H, K, L, M}.
B. The event not E is {F, G, H, M}.
C. The event S or E is {F, H, J, K, L, M}.
D. The event S and E is {K, L, M}.
E. P(W or S) = 1
F. P(W and S) = 1
Answer:
See below ~
Step-by-step explanation:
True Statements
A. The event S is {F, H, K, L, M}.C. The event S or E is {F, H, J, K, L, M}.D. The event S and E is {K, L, M}.E. P(W or S) = 12. Write each of the following in set builder form. A = [5, 10, 15,20]
Answer:
A={x:x is a multiple of five }
Which term best describes the trend shown on the scatter plot below?
No trend
Negative Trend
Positive Trend
Answer:
Positive Trend
Step-by-step explanation:
As the y-values tend to increase with increase in x-values, we can consider this scatter plot to have a positive trend.
The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve for the dimensions (length and width) of the poster.
Answer:
Width = 7 inches
Length = 23 inches
Step-by-step explanation:
Let :
length = 2x + 9width = xEquating to area :
(2x + 9)(x) = 1612x² + 9x = 1612x² + 9x - 161 = 02x² - 14x + 23x - 161 = 02x(x - 7) + 23(x - 7) = 0x - 7 = 0x = 7Dimensions are :
Width = 7 inchesLength = 2(7) + 9Length = 23 inchesAnswer:
Length: 23 inches
Width: 7 inches
Explanation:
Width: wLength: 2w + 9Area of rectangle: Length × Width(2w + 9) × (w) = 1612w² + 9w - 161 = 02w² + 23w - 14w -161 = 0w(2w + 23) -7(2w +23) = 0w = 7, -11.5As length measure cannot be negative. Width is +7 inches
Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23
Need help please answer ASAP!
Answer:
39. (4) 4 1/16
Step-by-step explanation:
Simplifying
f(x) = 4x⁰ + (4x)⁻¹Any term to the power is equal to 1f(x) = 4(1) + 1/4xSubstituting x = 4
f(4) = 4 + 1/4(4)f(4) = 4 + 1/16f(4) = 4 1/16(4) 4 1/16help me with this question number 11 please and thank you
The linear equation is 3x + 5y = 75. Then the value of A, B, and C will be 3, 5, and 75 respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of a line is given as
y = mx + c
where m is the slope and c is the constant.
Then we have
y = (-3/5)x + c
The line is passing through (25, 0). Then we have
25 = c
Then we have
y = (-3/5)x + 25
On simplifying, we have
5y = -3x + 75
3x + 5y = 75
Then the value of A, B, and C will be 3, 5, and 75 respectively.
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Many simple quadratic equations have two solution( one positive,one negative)but there is one simple quadratic equation that has only one solution.what is the equation and what is its solution?
Answer:
The answer is ax² + bx + c = 0
Step-by-step explanation:
Help please!!! It’s timed
Describe how you would find the volume of each hemisphere below. What is the volume of each hemisphere?
It's not hemisphere,It's a complete sphere .
Radius=26.12/2=13.06cmVolume
4/3πr³4/3π(13.06)³9330.8cm³Volume of each hemisphere.
9330.8/24665.4cm³Find the area of this circle. Use 3 for π.
A = πr2
[?] ft2
Answer: 27
PI × R² Is the formula as you posted.
And if you're asking for it as it's square root than it's 5.2
Answer:
27
Step-by-step explanation:
A = πr²
A = 3 × (3 ft)²
A = 3 × 9 ft²
A = 27 ft²
Answer: 27
Lea and adam are selling cheesecakes for a school fundraiser. customers can by new york cheesecakes and chocolate marble cheesecakes. lea sold 14 new york cheesecakes and 11 chocolate marble cheesecakes for a total of $293. adam sold 7 new york cheesecakes and 2 chocolate marble cheesecakes for a total of $80. what was the cost for one chocolate marble cheesecake?
Answer: $19
Step-by-step explanation:
We will set up equations to solve and pull the information we need from the given passage. Let x be new york cheesecakes and y be chocolate marble.
Lea sold 14 new york and 11 chocolate marble. She made $293 total.
14x + 11y = 293
Adam sold 7 new york and 2 chocolate marble for $80 total.
7x + 2y = 80
Now I will graph the two equations. The y-coordinate in the point of intersection is the solution is the answer to your question.
(6, 19)
$19
The cost for one chocolate marble cheesecake is $19.
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Answer: A, B
Step-by-step explanation:
A and B are unique to parallel lines, C and D are not.
What is the mode of the following numbers?
6, 4, 1, 9, 3, 8, 3, 5, 10
Explanation:
The mode is the most frequent number. It is the number that shows up the most.
Sorting the values gets us {1, 3, 3, 4, 5, 6, 8, 9, 10} in which we can see that "3" shows up twice, which is the most compared to any other value. Therefore the mode is 3.
Which polynomial is prime? 7x2 – 35x 2x – 10 9x3 11x2 3x – 33 10x3 – 15x2 8x – 12 12x4 42x2 4x2 14.
Answer:
see the attachment.
i hope this can help you!
Solve by completing the square.
y² +10y = -9
Answer:
y=−1 or y=−9
Step-by-step explanation:
y2+10y=−9
Step 1: Subtract -9 from both sides.
y2+10y−(−9)=−9−(−9)
y2+10y+9=0
Step 2: Factor left side of equation.
(y+1)(y+9)=0
Step 3: Set factors equal to 0.
y+1=0 or y+9=0
y=−1 or y=−9
Answer:
y=−1 or y=−9
Answer:
Here is the ans ..hope it helps:)
Grace is an hourly employee
Answer:
full question Grace is an hourly employee, and the line that models her total pay in dollars
as it relates to the number of hours she has worked has a slope of 45 and a y
intercept of 35. Which statement is true?
A. Grace's wage is $35 an hour, and it appears that she received a
signing bonus of $45.
B. Grace's wage is $35 an hour, but it appears that she received no
signing bonus.
C. Grace's wage is $45 an hour, and it appears that she received a
signing bonus of $35.
D. Grace's wage is $45 an hour, but it appears that she received no
signing bonus.
Step-by-step explanation:
if x is the amount of hours worked, 45 is the slope and the y intercept is 35.
A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:
y = 45*x + 35
this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.
Then the correct answer is
C) Grace's wage is $45 an hour, and it appears that she received a signing bonus of $35.
Answer:
wow........mmm.................
solve the equation b/4+2=-1.
b=
Answer:
[tex] \frac{b}{4} + 2 = - 1[/tex]
[tex] \frac{b}{4} = - 1 - 2[/tex]
[tex] \frac{b}{4 } = - 3[/tex]
[tex]b = - 3 \times 4[/tex]
[tex]b = - 12[/tex]
hope this helps you!!
The answer is -12
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation b/4 +2 = -1
b=-12
Hence, The answer is -12
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The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 800 hours and a standard deviation of 50 hours. what is the probability that
a randomly chosen light bulb will last between 780 hours and 810 hours, to the
nearest thousandth?
Answer:
23.47 % ( or .2347)
Step-by-step explanation:
780 is 20/50 = .4 for z score - .4
810 is 10/50 = .2 z-score = .2
Use z-score table .5793 - .3446 = .2347 23.47%
what is this? please help
Answer:
50
Step-by-step explanation:
to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:
48+50+5+60+37+50=300
divide 300 by 6= 50
Answer: it is the first choice which is 50 .
Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .
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Prove the following tan^2 A/(tan A -1 )+ cot A/(1 - tan A)=1 +sec A cosec A
In Image, Question is No.4 (vi)
See below for the proof of the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]
How to prove the trigonometry identity?The trigonometry equation is given as:
[tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]
Rewrite the equation as:
[tex]\frac{\tan^2(A) }{\tan(A) - 1} - \frac{\cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]
Take LCM
[tex]\frac{\tan^2(A) - \cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]
Express cot(A) as 1/tan(A)
[tex]\frac{\tan^2(A) - \frac{1}{\tan(A)}}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]
Take LCM
[tex]\frac{\tan^3(A) - 1}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]
Apply the difference of two cubes on the numerator
[tex]\frac{(\tan(A) - 1)(\tan^2(A) + \tan(A) + 1)}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]
Cancel out the common factors
[tex]\frac{\tan^2(A) + \tan(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Rewrite as:
[tex]\frac{\tan(A) + \tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Split the fraction
[tex]1 + \frac{\tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Express [tex]\tan^2(A) + 1[/tex] as [tex]\sec^2(A)[/tex]
[tex]1 + \frac{sec^2(A)}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]
Divide [tex]\sec^2(A)[/tex] by [tex]\tan(A)[/tex]
[tex]1 + \frac{1}{\sin(A)\cos(A)} = 1 + \sec(A)\csc(A)[/tex]
Take the inverse of sin and cosine
[tex]1 + \sec(A)\csc(A) = 1 + \sec(A)\csc(A)[/tex]
Both sides of the equation are the same.
Hence, the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex] has been proved
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Use long division to find the quotient 1234 and 19. What is the remainder?
18
6
13
9
Answer:
18
Step-by-step explanation:
science 19 does not fit into 12, you would do 123/19 and the closes would be 19*6 which would get you 114 then you do 123-114 which is 9 then you bring down the 4 then it would be come 94 then you do 19*4 which would be 76 then you subtract 94 by 76 which would get you 18 and with nothing left you bring down, the remainder would be 18
PLEASEEE HELP 100 POINTS
Write the equation of a circle whose center is at the origin and that contains the point (-3, 0).
Radius
√(-3)²+(0)²√93unitsSo
equation of circle
(x-h)²+(y-k)²=r²(x-0)²+(y-0)²+3²x²+y²=9Answer:
[tex]x^2+y^2=9[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (0, 0)point on circle = (-3, 0)Substitute the given values into the formula and solve for r²:
[tex]\implies (-3-0)^2+(0-0)^2=r^2[/tex]
[tex]\implies (-3)^2+(0)^2=r^2[/tex]
[tex]\implies 9=r^2[/tex]
Substitute the center and found value of r² into the formula to determine the equation of the circle:
[tex]x^2+y^2=9[/tex]
1 3 6 10 what number comes next
Answer:
15 is the correct and answer mark me brainiest
Step-by-step explanation:
Well its because they added 2 3 4 now 5
Answer:
14
Step-by-step explanation:
there is difference 1 3 there is difference of 1 and 3 6 there is difference of 2 and 6 10 there is difference of 3 and there will be difference of 4
(PLEASE HELP) What are the values of a and b that make this equation have solutions of {3, -2}? (x + a)(x + b) = 0
Answer:
x = -a or x = -b
Step-by-step explanation :
What is the volume of a sphere with a diameter of 8.6 m, rounded to the nearest
tenth of a cubic meter?
Please help me with these questions. Thank you.
Answer:
36 x⁸y⁶
√2/2
Step-by-step explanation:
Factor 1296 into its prime factors
1296 = 24 • 34
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
1296 = 24 • 34
No factors remain inside the root !!
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
36 = 22 • 32
At the end of this step the partly simplified SQRT looks like this:
36 √(x¹⁶y¹²)
STEP2:Simplify the Variable part of the SQRT
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
√(x⁸)=x⁴
√(x^-6)=x^-3
Applying these rules to our case we find out that
SQRT(x¹⁶y¹²) = x⁸y⁶
Combine both simplifications
sqrt (1296x¹⁶y¹²) = 36 x⁸y⁶
Simplified Root : 36 x⁸y⁶
number 2)
3√2/3√4=
=3√2/3×2
=3√2/6
=3√2/6 ×3/3
=1√2/2
=√2/2
AB||CD . Find the value of x.
A. 25
B. 45
C. 15
D. 10
Answer:
The value of x is 10.
3x+15=5x-5
3x=5x-5-15
3x=5x-20
3x-5x=(-20)
(-2x)=(-20)
x=10
Find the measure of <1, <2 and <3 In P
Answer:
Step-by-step explanation:
Can someone please explain this to me very detailed I don’t understand it. Please
Answer:
a140 b10
Step-by-step explanation:
a x(all the pupil)×25%=35
x=140
b. 16:y=40:25
y=16×25/40=20
Type the correct answer, PLS HELP ASAP, I AM GIVING BRAINLIEST FOR THE CORRECT ANSWER!!!!
Answer:
x = 3
Step-by-step explanation:
3^3 = 4(3) + 15 = 27
6=3n/5
thats the equation and i need to find out what n is
Answer:
n=10
Step-by-step explanation:
6=3n/5
multiply both sides by 5
30=3n
divide both sides 3
10=n