Answer: b∈∅
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
12b + 9 = 12b + 11
Subtract 12b from each side
12b-12b + 9 = 12b-12b + 11
9 = 11
This is never true, so there are no solutions
What is the range of the following numbers?
Answer:
19
Step-by-step explanation:
hey there,
< First, always start by putting all the numbers given in numerical order. Here, it would be: 6, 12, 18, 20, 25
The range is the largest number (25) minus the smallest number (6). So 25-6 = 19. >
Hope this helped! Feel free to ask anything else.
City planners are designing a new dog park. The park will be a square. The area of the park is the square of the side length: area=2802 feet2. Without using a calculator, what is the area of the dog park? Use polynomial identities to support your answer. (thank you)
Step-by-step explanation:
A = 280² ft²
A = (200 + 80)² ft²
A = [200² + 2(200)(80) + 80²] ft²
A = (40000 + 32000 + 6400) ft²
A = 78400 ft²
The required area of the dog park using polynomial is 6771204 feet².
What is polynomial?Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.
Given that,
The area of the park = square of the side length a = 2802 feet².
To find the area of the park, using polynomial use
Formula of area of square = (a)²
= (2802)²
= (2800 + 2)²
Use formula (a + b)² = a² + b² + 2ab
= (2800)² + (2)² + 2 x 2800 x 2
= 6,760,000 + 4 + 11200
= 6771204 feet²
The required area of the dog park is 6771204 feet².
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Please explain How you got the Answer
Answer:
The radius is [tex] 2\sqrt{15} [/tex]
The center is (3, 3)
Step-by-step explanation:
Equation of circle in standard form with center at (h, k) and radius r:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
We need to complete the square in x and y.
[tex] x^2 + y^2 - 6x - 6y = 42 [/tex]
Separate x-terms and y-terms:
[tex] x^2 - 6x + ~~~~~y^2 - 6y + ~~~~~ = 42 + ~~~~~ + ~~~~~ [/tex]
To complete the square, you square half of the linear term's coefficient.
Linear term in x: -6x
Coefficient: -6
Half of the coefficient: -3
Square half of the coefficient: 9
We need to add 9 to both sides to complete the square in x.
The linear term in y is -6y, so we do the same and we also need to add 9 to both sides to complete the square in y.
[tex] x^2 - 6x + 9 + y^2 - 6y + 9 = 42 + 9 + 9 [/tex]
[tex] (x - 3)^2 + (y - 3)^2 = 60 [/tex]
Now that we have the equation in standard form, we can get the radius and center of the circle.
[tex] r^2 = 60 [/tex]
[tex] r = \sqrt{60} [/tex]
[tex] r = \sqrt{4 \times 15} [/tex]
[tex] r = 2\sqrt{15} [/tex]
The radius is [tex] 2\sqrt{15} [/tex]
The center is (3, 3)
Use the given diagram to answer the question.
Which line is the intersection of two of the planes shown?
V
X
Y
Z
Which Wine intersects one of the planes shown?
W
x
y
z
Which line has points on three of the planes shown?
V
X
Y
Z
Answer:
X Z Y
Step-by-step explanation:
The first Question is X
The second Question is Z
The third question is Y
Answer:
Q1: X
Q2: Z
Q3: Y
Step-by-step explanation:
The graph shows the solution to a system of equations. What is that solution?
Answer:
(-2,2)
Step-by-step explanation:
Usually in these types of questions, the solution is the intersection point between the two equations. These two lines intersect at what looks like the point (-2,2) so that is the solution.
Hope this helped!
Find the surface area of the building - (not including what is on the ground, as if we were going to paint it)
Answer:
204.4m
Step-by-step explanation:
formula for SA of a rectangle is 2lw+2lh+2hw
so it would be 2(6x5) +2(6x3)+2(5x3)=126m
formula for SA of a triangle is bh+2ls+lb
so it would be 5x2+2(6x3.2)+6x5=78.4m
then add 78.4+126=204.4m
The number 18 is a counterexample for which of the following conditional statements?
Answer:
The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.
Step-by-step explanation:
To find : The number 18 is a counterexample for which of the following conditional statements?
Solution :
For a conditional statement to be true then it is true for all cases that satisfy the condition.
A counterexample is given to prove a conditional statement false.
Now, Examine all the conditions
A. If a number is divisible by 2, it is even.
18 is even and divisible by 2 - True
B. If a number is odd, then it is not divisible by 2.
18 is not odd so it is divisible by 2 - True
C. If a number is even, then it ends with 0, 2, 4, 6, or 8.
18 ends with 8 so it is even - True
D. If a number is divisible by 2, then it is also divisible by 4.
18 is divisible by 2 but 18 is not divisible by 4 - False
Therefore, The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.
which of the following are properties of a trapezoid? Select all that apply
Answer: b, d, e
Trapezoids are quadrilaterals (a shape with four sides) and they have two pairs of sides; one pair are parallel, and the other pair are not.
Picture shown below.
The correct properties of a trapezoid are:
They are quadrilaterals.It has one pair of opposite sides that are parallel.It has one pair of opposite sides that are not parallel.A trapezoid is a quadrilateral, which means it has four sides. One defining property of a trapezoid is that it has one pair of opposite sides that are parallel. This means that these parallel sides never intersect.
Additionally, a trapezoid has another pair of opposite sides that are not parallel, which means they do intersect. Unlike a rectangle or square, a trapezoid does not have all sides congruent.
Lastly, the diagonals of a trapezoid do not necessarily intersect at right angles. The angle formed by the intersection of the diagonals can vary in size. These properties collectively distinguish a trapezoid from other quadrilaterals and make it a unique shape.
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Part C
Kelvin wants to know whether his father, Arnold, skied three times as long without falling as anyone else in the family did. He can check using the
inequality 3w < 356, where w is the time in seconds that each person skied. Plug the values for the time skied by each person into the inequality to
find the answer
B
I
u
X
Font Sizes
A- A - E 3 E 3
Person
Time Skied Plugged into True or False?
(seconds) 3w <356
Answer
Kelvin 223 669 < 356
Lori 55 165 < 356
Vanessa 265 795 < 356
Devon 172 516 < 356
Celia 112 336 < 356
Step-by-step explanation:
help a girl out pls.........
Answer:
Hey there!
The solution is (1, 2) because that is where the lines intersect.
Hope this helps :)
Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample.
Answer: 1/5, 1/2, 0.
Step-by-step explanation:
given data:
no of cameras = 6
no of cameras defective = 3
no of cameras selected = 2
Let p(t):=P(X=t)
p(2)=m/n,
m=binomial(3,2)=3!/2!= 3
n=binomial(6,2)=6!/2!/4! = 15
p(3)= 3/15
= 1/5.
p(1)=m/n,
m=binomial(6,1)*binomial(2,2)=6!/1!/4!*2!/2!/0!= 7.5
n=binomial(6,2)= 15
p(2)= 7.5/15
= 1/2
p(0)=m/n,
m=0
p(0)=0
Answer:
a.
The probability of X
k P(X=k)
0 0.25
1 0.5
2 0.25
b. The expected variable value of X; E(X) = 1
Step-by-step explanation:
Given that:
number of cameras = 6
numbers of defective = 3
the probability of defective camera p = 3/6 = 0.5
sample size n = 2
Then X = {0,1,2}
Suppose X is the given variable that represents the number of defective cameras in the sample.
∴
X [tex]\sim[/tex] Bin (n =2, p = 0.5)
The probability mass function of binomial distribution can be computed as :
[tex]P(X =x) = (^n_x) p^x (1-p)^{n-x}[/tex]
For ;
x = 0
The probability P(X=0) [tex]= (^2_0) 0.5^0 (1-0.5)^{2-0}[/tex]
[tex]P(X=0) = \dfrac{2!}{0!(2-0)!} \times 1 \times 0.5^2[/tex]
[tex]P(X=0) =1\times 1 \times 0.25[/tex]
[tex]P(X=0) = 0.25[/tex]
For :
x = 1
The probability P(X=1) [tex]= (^2_1) 0.5^1 (1-0.5)^{2-1}[/tex]
[tex]P(X=1) = \dfrac{2!}{1!(2-1)!} \times 0.5^1 \times 0.5^1[/tex]
[tex]P(X=1) =2 \times 0.5 \times 0.5[/tex]
[tex]P(X=1) =0.5[/tex]
For :
x = 2
The probability P(X=2) [tex]= (^2_2) 0.5^2 (1-0.5)^{2-2}[/tex]
[tex]P(X=2) = \dfrac{2!}{2!(2-2)!} \times 0.5^2 \times 0.5^0[/tex]
[tex]P(X=2) =1 \times 0.5^2 \times 1[/tex]
[tex]P(X=2) =0.25[/tex]
The probability of X
k P(X=k)
0 0.25
1 0.5
2 0.25
The expected variable value of X can be computed as:
E(X) = np
E(X) = 2 × 0.5
E(X) = 1
What is the scale factor & what are the x & y values?
Answer:
Scale Factor = 3
x=45
y=75
Step-by-step explanation:
Scale Factor = 60/20 = 3
x=15*3=45
Y=25*3=75
Name a point coplanar to point K.
Answer:
Point N
Step-by-step explanation:
According to Euclidean geometry, two points are coplanar when they are in the same line segment. By this approach, it is clear that points K and N are part of the same line segment and, consequently, point N is coplanar to point K.
I have 30 ones 2 thousands,4 hundred thousands 60 tens, and 100 hundreds
Answer:
52630
Step-by-step explanation:
Simplify into numbers.
30 + 2000 + 40000 + 600 + 10000
Add.
52630
This exercise examines the accuracy of various branch predictors for the following repeating pattern (e.g., in a loop) of branch outcomes: T, NT, T, T, NT.
a. What is the accuracy of always-taken and always-not-taken predictors for this sequence of branch outcomes?
b. What is the accuracy of the 2-bit predictor for the first four branches in this pattern, assuming that the predictor starts off in the bottom left state (predict not taken)?
c. What is the accuracy of the 2-bit predictor if this pattern is repeated forever?
Answer:
attached below is the missing part of the question and the solution
A) 60%, 40%
B) 25%
C) 60%
Step-by-step explanation:
a) The accuracy of always-taken for this sequence of branch outcomes = 60%
The accuracy of always -not-taken for this sequence of branch outcomes = 40%
b) The accuracy of the 2-bit predictor for the first four branches assuming that the predictor starts off in the bottom left state = 25%
C)the accuracy of the 2-bit predictor if this pattern is repeated forever = 60% ( was stopped after the fourth iteration because the fourth and third iterations are the same) =
About Integral-Volume of a Sphere. Could you help me,please?
Answer:
check the answer
Step-by-step explanation:
find the answer in the attached file
- + 10.8 is: rational irrational
Answer:
i think it is rational but if u guess u have a 50/50 chance
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
I believe the answer is rational because it’s a decimal and goes with the rational category.
A book sold 33,900 copies in its first month of release. Suppose this represents 9.1% of the number of copies sold to date. How many copies have been sold to date?
Answer:
Around 372,527 (rounding down)
Step-by-step explanation:
To solve this, divide the amount of the books sold in the month it was released (33,900) by the percentage of total copies this number represents (9.1% or .091):
33,900/.091 = 372,527.473 or 372,527 (if you round down) or 372,528 (if you round up)
I hope this helps!
-TheBusinessMan
Match the input values on the left with the output values on the right. y = x/2 + 1
1)3 X
2)Y 2
3)2 4
4)4.5 7
5)5.5 9
Answer:
x, y
2, 2
4, 3
7, 4.5
9, 5.5
Step-by-step explanation:
matching input / output values.
insert each values into the equation.
1. x y = (x)/2 + 1
2. 2 y = (2)/2 + 1 y = 2
3. 4 y = (4)/2 + 1 y = 3
4. 7 y = (7)/2 + 1 y = 4.5
5. 9 y = (9)/2 + 1 y = 5.5
therefore,
x, y
2, 2
4, 3
7, 4.5
9, 5.5
i hope the above solution is what you are lookin'
What is the value of I-25I
Answer:
25
Step-by-step explanation:
Answer:
25
Use a number line.
The distance between -25 and 0 is 25.
So, that is your answer. Hope it helps!
A square has an area of 121 square feet. What is the side length of the square
Answer:
11 feet
Step-by-step explanation:
The area of a square is simply the side of the square squared. This can be written as an equation as follows:
A = l^2
where A is the area of the square and l is the length of a side of the square.
Using this, we can find the length of the side.
121 = l^2
sqrt(121) = sqrt (l^2)
11 = l
Hence, the side length of the square is 11 feet.
Cheers.
Answer:
11
Step-by-step explanation:
[tex]Area = s^2[/tex]
s = side
[tex]A =121\\121 = s^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{121}=\sqrt{x^2} \\\\11 =x\\x=11[/tex]
If eight persons are having dinner together, in how many different ways can three order chicken, four order steak, and one order lobster
Answer:
Total number of ways= 144 ways
Step-by-step explanation:
Number of ways 3 can order chicken
= 3!
= 3*2*1
= 6
Number of ways 4 can order steak
= 4!
= 4*3*2*1
= 24
Number of ways 1 can order lobster
= 1!
= 1
Total number of ways= 24*6*1
Total number of ways= 144 ways
The total number of different ways is 144.
Calculation of the total no of ways:Since If eight persons are having dinner together.And, there is three order chicken, four order steak, and one order lobster
Now
Number of ways 3 can order chicken
= 3!
[tex]= 3\times 2\times 1[/tex]
= 6
Now
Number of ways 4 can order steak
= 4!
[tex]= 4\times 3\times 2\times 1[/tex]
= 24
Now Number of ways 1 can order lobster
= 1!
= 1
So, total should be
[tex]= 24\times 6\times 1[/tex]
= 144 ways
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the difference of the product of 2 and x, and 9?
Answer:
2-x-9? If that's the question than it would be -x-7, but your question kinda confuses me.
Step-by-step explanation:
Find all values of in the interval [0, 2π] that satisfy the equation. Enter your answers from smallest to largest. (Enter NONE in any unused answer blanks.) $$ 2\sin^2(x) = 1 $$
Answer:
π/4 and 3π/4Step-by-step explanation:
Given the equation [tex]2\sin^2(x) = 1 \\[/tex], we are to find all the values of x in the interval [0, 2π] that satisfies the equation.
Simplifying the equation:
[tex]2\sin^2(x) = 1 \\\\sin^2x = \frac{1}{2} \\\\[/tex]
Square both sides of the equation;
[tex]\sqrt{sin^2x } = \sqrt{\frac{1}{2} } \\\\sin(x) = \sqrt{0.5}\\ \\sin(x) = 0.7071\\\\x = sin^{-1}0.7071\\\\x \approx 45^0[/tex]
The general formula for sin(x) is x = nπ + (-1)ⁿ∝ where n = 0, 1, 2, 3...
Since ∝ = 45° = π/4.
x = nπ + (-1)ⁿπ/4
when n = 1
x = π + (-1)¹π/4
x = π - π/4
x = 3π/4
Hence the values of x within the given interval are π/4 and 3π/4
There are 14 books on a shelf. .5 of them are new. The rest of them are used. What is the ratio of all books on the shelf to used books?
Answer:
9/14
Step-by-step explanation:
I can’t figure out the answer to 4X+14
Answer:
What is the =
Step-by-step explanation:
4x would be 4x4, 16. Then you add 14!
The coefficient of determination in a simple linear regression model is 64%. What is the correlation level between the dependent and independent variables, assuming a negative relationship between them
Answer: -0.64
Step-by-step explanation:
We know that the coefficient of determination in a simple linear regression model is denoted by [tex]r^2[/tex], which gives the proportion of the variance in the dependent variable that is predictable from the independent variable.
Given, the coefficient of determination in a simple linear regression model is 64%.
i.e.
[tex]r^2= 0.64\\\\\Rightarrow\ r=\sqrt{0.64}=\pm 0.64[/tex]
As there is negative relation between the dependent and independent variables.
Then, the correlation coefficient = -0.64
Course Activity: Relationships Betwee
5 of 16
Question
Mark says that the number 2 is a rational number
because he can write it as the fraction ?
Is Mark correct? Why or why not?
Answer:
yes
Step-by-step explanation:
A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.
Since q can be any integer apart from zero, it means that all integers are rational numbers i.e for q = 1.
Hence 2 which can be written as fraction as 2/1 is a rational number since the denominator (q = 1) is a non zero number
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
There are 12 inches in 1 foot and 5280 feet in 1 mi Elena ran 2.5 miles how many inches is that
Answer:
there are 63360 inches in 1 mile. if you divide 2 into 63360 and add that with it, that should give you the accurate answer
Vivian is going to do some yard work, but she needs to leave her house at 1:00 to go to a football game. She is going to mow the lawn for 1 hour and 10 minutesl, trim some bushes for 30 minutes, and put down some mulch for 35 minutes. She will also need 20 minutes to shower and get dressed. What time should she start the work so she will be ready at 1/00 ?
Answer:
10:25
Step-by-step explanation:
mow the lawn 1:10
trim bushes: 0:30
put down mulch: 0:35
shower: 0:20
Total time = 1:10 + 0:30 + 0:35 + 0:20 = 1:95 = 2:35
She needs 2 hours and 35 minutes to do everything.
1:00 p.m. = 13:00
13:00 - 2:35 = 12:60 - 2:35 = 10:25
She should start work at 10:35 a.m.