Answer:
Width = 6 m
Length = 10 m
Step-by-step explanation:
Let the width of the table be x meters.
Therefore, length of the table = (x + 4) meters.
[tex]length \times width = Area \\ \\ x(x + 4) = 60 \\ \\ {x}^{2} + 4x - 60 = 0 \\ \\ {x}^{2} + 10x - 6x - 60 = 0 \\ \\ x(x + 10) - 6(x + 10) = 0 \\ \\ (x + 10)(x - 6) = 0 \\ \\ x + 10 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 10 \: \: or \: \: x = 6 \\ \\ \because \: dimensions \: can \: not \: be \: negative \\ \therefore \: x \notin \: 10 \\ \implies \: x = 6 \\ x + 4 = 6 + 4 = 10 \\ width \: of \: table = 6 \: m \\ length \: of \: table = 10 \: m[/tex]
Write in standard form.
- 3
3.11 X 10
I
Answer: -3.11 x 10^ 1
Step-by-step explanation: - 3
3.11 X 10 = -31.1, in decimal form -3.11 x 10^ 1
I
On a circle with radius 12 m, what angle would subtend an arc with a length of 7 m?
Answer:
33.42
Step-by-step explanation:
just trust me
33.42 angle would subtend an arc with a length of 7 m.
How do you find the angle of an arc?The angle formed by the arc at the center of the circle is the angle of the arc. Indicated by. m A B ^, A, and B are the endpoints of the arc. You can use the arc length equation to find a measure of the arc angle.
For a circle, the arc length equation is θ times the radius of the circle. The equation for arc length in radians can be expressed as Arc length = θ × r, where θ is in radians. Arc length = θ × (π / 180) × r, where θ is in degrees and L = arc length. θ = central angle of the arc.
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In this table what is the domain of the function?
Answer:
c. D: {1, 2, 3, 4, 5}
Step-by-step explanation:
The domain of a function includes values of x that are in the given table of values of the given function.
The range, on the other hand, includes all set of values of y, given in the table of values.
Thus, for the table of values above:
Domain would be [1, 2, 3, 4, 5]
Range would be [a, b, c, d, e]
The domain of the function can be represented as:
D: {1, 2, 3, 4, 5}
2/3 + 2/3 please answer
Answer:
4 over 3
Step-by-step explanation:
this is beause you add the numertior and not the divend
Answer:
4/3 or 1 1/3 or 1.333 repeating
Step-by-step explanation:
Since 2/3 + 2/3 has the same denominator you can just add the top numerators together and keep the same denominator.
The steps to convert 17/4 to a decimal
Answer:
4.25
Step-by-step explanation:
why 17/4 is divided and what comes out or back is divided
A restaurant customer left $0.90 as a tip. The tax was 6 percent and the tip was 10% of the after-tax cost. What was the total bill?
Rolling a fair six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.
a. That if a 1 is rolled it that means that each other number was not rolled.
b. That the only possible outcomes are 1, 2, 3, 4, 5, and 6.
c. That each result will not be influenced by the previous result of the die roll.
d. That in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
Answer: D.
Step-by-step explanation: It explains the definition of random in particular with the die.
Random means in this context is
d. That in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Given, Rolling a fair six-sided die is supposed to randomly generate the numbers 1 through 6.
Random means here is that in the long run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.
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which is the same as 10^-3
A. 0.0001
B.0.001
C.3
D.1000
Answer:
B. 0.001Step-by-step explanation:
Your answer is B. 0.001.Thank you ☺️☺️
its answer is option B
0.001
The base of a building is 5 feet tall , the first floor and every floor about it is 11 feet tall. Which equation represents the total hight of the building
Answer:
5+11x= total height
x is the number of floors
PQRS is a parallelogram, m∠P=106∘ , and m∠Q=(11x−14)∘ .
What is the value of x?
9514 1404 393
Answer:
8
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary, so ...
106 +(11x -14) = 180
11x = 88 . . . . . . subtract 92
x = 8 . . . . . . . . .divide by 11
yo you guys think you could help me find the sum
Answer:
4m + 8n -4p
Step-by-step explanation:
Im pretty sure its that. Hope its right!
Jeffery wants to save the same amount of money each week to buy a new bike. He needs $224.If he wants the bike in 14 weeks, how much money should Jeffery save each week?
Answer:
16 dollars per week
Step-by-step explanation:
Divide 224 by 14
Pls look at pic and pls help
Answer:Don´t know but hope ypu find someone who knows
Step-by-step explanation:
Answer:
5½
Step-by-step explanation:
1). Convert any mixed numbers to fractions. Then your initial equation becomes: ³⁄₂·¹¹⁄₃
3). Applying the fractions formula for multiplication: [tex]\frac{3*11}{2*3}[/tex] = [tex]\frac{33}{6}[/tex] = [tex]5\frac{1}{2}[/tex]
Given the area and perimeter find the length and width
Ethan is using his compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is he in the process of constructing?
1. An equilateral triangle
2. A square
3. A regular pentagon
4. A regular hexagon
Answer:
A
Step-by-step explanation:
Cuz Im just right
(A) An equilateral triangle.
Circle:All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.Polygon:In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).Triangle:A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.Therefore, Ethan is in the process of constructing (A) an equilateral triangle.
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Find the average of the numbers 10 1/3 5 5/9 2 1/36 3 3/4
Answer:
47/48
Step-by-step explanation:
hope this helps
Answer: 2.58 i think
Step-by-step explanation: add up all the numbers and divide them by how many numbers they were
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
A graph has number of animals on the x-axis and food (pounds) on the y-axis. Points are at (0, 1), (2, 2), (4, 3), (6, 4), (8, 5), and (10, 6).
A graph has number of animals on the x-axis and food (pounds) on the y-axis. Points are at (0, 0), (3, 1), (6, 2), (9, 3).
A graph has number of animals on the x-axis and food (pounds) on the y-axis. Points are at (0, 3), (3, 2), (6, 1), and (9, 0).
Answer:
It is graph B or the second graph!
Step-by-step explanation:
Answer:
Its graph B.
Step-by-step explanation:
I just got it right on Edge.
1/x-x/6=2/3 how to answer this
Answer:
x = 0.1
Step-by-step explanation:
1/x - x/6 = 2/3
1/ x - 6/x = 2/3
6/x = 2/3
6x = 2/3
x = 0.1
Answer:
x = 0.2
Step-by-step explanation:
1/x - x/6 = 2/3
=> 1/x - x = 2/3 * 6
=> 1/x - x = 12/3
=> 1/x - x = 4
=> 1/x - x/1 = 4 (x = x/1 )
=> 1 - x/1 = 4 * x
=> -x/1 = 4x - 1
=> -x/1 -4x = -1
=> -5x/1 = -1
=> x = -1/-5
=> x = 0.2 (Because negative / negative = positive)
If I am wrong please tell me.
If my answer helped, kindly mark me as the brinliest!!
Thanks!!
Find X to complete the following ratio. 12:5 = 24:X
Answer:
x = 10
Step-by-step explanation:
This is the answer because:
1) 12:5 is equivalent to the ration 24:10
2) This is because to get 24 you have to multiply 12 and 2 which is 24
3) Next, you have to do the same to the other side to make everything equal. Therefore, you have to multiply 5 with 2 which is 10.
4) Finally, your answer should be 24:10
Hope this helps! :D
least common factor of 12 and 22
132 is the least common multiple
Answer:
Least common multiple (LCM) of 12 and 22 is 132.Step-by-step explanation:
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?
Answer:
[tex]\huge\boxed{18,475}[/tex]
Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of n terms of an arithmetic sequence:
[tex]S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}[/tex]
We have
[tex]a_1=2\\d=17-2=32-12=47-32=15\\n=50[/tex]
Substitute:
[tex]S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475[/tex]
Kai took five tests this semester. His scores are listed below.
92, 88, 90, 96, 84
What is the mean absolute deviation of Kai's test scores?
Answer: 16
Step-by-step explanation:
Find the mean absolute deviation of the data:
X : 92, 88, 90, 96, 84
Find the mean(m) of the data:
m = Σ(X) / n
n = number of samples
(92 + 88 + 90 + 96 + 84) / 5
m = 450 / 5
m = 90
Absolute Deviation of each value of the mean:
|x - m| :
|92 - 90| = 2
|88 - 90| = 2
|90 - 90| = 0
|96 - 90| = 6
|84 - 90| = 6
Σ|x - m| = 2 + 2 + 0 + 6 + 6 = 16
Answer:
3.2
Step-by-step explanation:
Which graph represents the function y - 3= 3/2 (x - 4)?
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes it is A i did it rn
Snow play ski park cost $35 entry fee and then $5 per hour. If you have $60, how long can you be at snow play ski park
For $60, you may spend four hours at Snow Play Ski Park.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Snow plays ski park costs a $35 entry fee and then $5 per hour. If you have $60
Let "x" be the hours you can play in the ski park
Since,
Addition charges = 35
Thus your total expenses to play x hours in the park = 5*x + 35
Since We have only 60$
So,
60 = 5x + 35
=> 5x = 25
=> x = 5
therefore, You can be at a snow play ski park for four hours for $60.
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The function C(x)=20x+4,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $40?
Answer:
More than 200 items must be produced to keep the average cost below $40 per item.
Step-by-step explanation:
What is the range of h?
Answer:
Image?
Step-by-step explanation:
Answer:
where is the image
Step-by-step explanation:
what is 390,000×600÷5?
Answer:
46,800,000 thats the answer
Suppose X has an exponential distribution with lambda equals 5. Determine the following. Round the answers to 3 decimal places.a) Upper P left-parenthesis Upper X less-than-or-equal-to 0 right-parenthesis equalsb) Upper P left-parenthesis Upper X greater-than-or-equal-to 2 right-parenthesis equalsc) Upper P left-parenthesis Upper X less-than-or-equal-to 1 right-parenthesis equalsd) Upper P left-parenthesis 1 less-than Upper X less-than 2 right-parenthesis equalse) Find the value of x such that Upper P left-parenthesis Upper X less-than x right-parenthesis equals 0.05.
Answer:
Explained below.
Step-by-step explanation:
The random variable X follows an exponential distribution with λ = 5.
The probability density function of X is:
[tex]f_{X}(x)=\lambda\cdot e^{-\lambda\cdot x};\ 0<x<\infty[/tex]
[tex]P(X\leq x)=1-e^{-\lambda\cdot x}\\\\P(X\geq x)=e^{-\lambda\cdot x}[/tex]
(a)
Compute the value of P (X ≤ 0) as follows:
[tex]P(X\leq 0)=1-e^{-\lambda\cdot x}[/tex]
[tex]=1-e^{-5\times 0}\\\\=1-1\\\\=0[/tex]
Thus, the value of P (X ≤ 0) is 0.
(b)
Compute the value of P (X ≥ 2) as follows:
[tex]P(X\geq 2)=e^{-5\times 2}=4.54\times 10^{-5}\approx 0[/tex]
Thus, the value of P (X ≥ 2) is approximately 0.
(c)
Compute the value of P (X ≤ 1) as follows:
[tex]P(X\leq 0)=1-e^{-\lambda\cdot x}[/tex]
[tex]=1-e^{-5\times 1}\\\\=1-0.00674\\\\=0.99326[/tex]
Thus, the value of P (X ≤ 1) is 0.99326.
(d)
Compute the value of P (1 ≤ X ≤ 2) as follows:
[tex]P(1<X<2)=\int\limits^{2}_{1} {5\times e^{-5x}} \, dx \\\\=5\times [\frac{e^{-5x}}{-5}]^{2}_{1} \\\\=5\times [\frac{0-0.00674}{-5}]\\\\=0.0067[/tex]
Thus, the value of P (1 ≤ X ≤ 2) is 0.0067.
(e)
Compute the value of x such that P (X < x) = 0.05 as follows:
[tex]P(X<x)=0.05\\\\\int\limits^{x}_{0} {5\times e^{-5x}} \, dx =0.05\\\\5\times [\frac{e^{-5x}}{-5}]^{x}_{0} =0.05\\\\1-e^{-5x}=0.05\\\\-e^{-5x}=0.95\\\\-5x=\ln(0.95)\\\\-5x=-0.05\\\\x=0.01\\\\[/tex]
Thus, the value of x is 0.01.
Half of the students in Max’s class volunteer at the local community center.Fifteen students do not volunteer.If there is 12 boys in Max’s class,how many girls are in his class
Shana bought 6.2 pounds of pecans and paid $56.00. About how much per pound did the pecans cost?
$5.00
$6.00
$8.00
$10.00
Answer:
D
Step-by-step explanation: