The width and the length of the rectangle are equal to 6√5 units and 3√5 units, respectively.
What are the dimensions of the rectangle?
In this problem we find the area of the rectangle and the ratio of the length to the width of the figure. Mathematically speaking, the area of the rectangle is described by the following formula:
A = (2 · x) · x
A = 2 · x²
If the area of the rectangle is equal to 90 square units, then the width of the rectangle is:
2 · x² = 90
x² = 45
x² = 3² × 5
x = 3√5
The width of the rectangle is equal to 3√5 units. By the given ratio, the length of the rectangle is equal to 6√5 units.
Therefore, the length and width of the rectangle are equal to 6√5 units and 3√5 units, respectively.
RemarkThe lower part of the picture is not related to the statement.
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Given f(n) = 6n - 5
Evaluate f(-3)
Is
what is the MAD for 3,4,5,5,5,6,6,6,7,8
Answer:
1.1
Step-by-step explanation:
Find the mean of the data:(3+4+5+5+5+6+6+6+7+8)/10 = 5.5Step 2: Find the difference between each data and mean:Difference between 3 and 5.5 is 2.5Difference between 4 and 5.5 is 1.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 5 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 6 and 5.5 is 0.5Difference between 7 and 5.5 is 1.5Difference between 8 and 5.5 is 2.5Step 3: Add all the differences:2.5+1.5+0.5+0.5+0.5+0.5+0.5+0.5+1.5+2.5 = 11Step 4: Divide it by the number of data:11/10 = 1.1So, the MAD = 1.1
What is 5 x x I don’t know the answer please give me it!
Answer:
5i is an imaginary number and it's square is - 25.
by definition zero is considered to be both real and imaginary.
Step-by-step explanation:
#studywell #workhard #worksmart
Let x1, x2, x3 be three independent random variables with binomial distributions b(4,1/2), b(6,1/3), and b(12,1/6), respectively. find (a) p(x1 = 2,x2 = 2,x3 = 5).
0.00345 is the value of p(x).
What means binomial distribution?
When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.P(x₁= 2 , x₂ = 2 , x₃ = 5 )
p( x₁= 2) . p( x₂ = 2) . p( x₃ = 5) .........( as these are independent variable)
[c⁴₂ ( 0.5 )² ( 0.5 )² ] [ c⁶₂ ( 1/3)²(2/3)⁴ ] [ c¹²₅ (1/6)⁵ (5/6)⁷
= 0.375 × 0. 329 × 0.028
= 0.00345
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Select all the data sets with a range greater than 10. (2 points)
4 5 6 7 13
1 5 7 8 14
10 11 14 17 18
5 7 9 21 23
11 11 11 11 11
The data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
What is the Range of a Data Set?The range of any given data set is the difference between the largest and the lowest data point in the data set.
Range for 4 5 6 7 13:
Range = 13 - 4 = 9
Range for 1 5 7 8 14:
Range = 14 - 1 = 13
Range for 10 11 14 17 18:
Range = 18 - 10 = 8
Range for 5 7 9 21 23:
Range = 23 - 5 = 18
11 11 11 11 11 has no range.
Therefore, the data sets with a range that is greater than 10 are:
1 5 7 8 14
5 7 9 21 23
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Number 33, Im not sure how to start so if anyone could write the steps down in order or explain it, I would be so happy.
Answer:
A = 26 B = 82
Step-by-step explanation:
The angle A = 180 - ∅
So A is:
180 - (4x+10)
180 - 4x - 10
170 - 4x
The total angle of a triangle is 180, so A + B + C = 180
(170 - 4x) + (2x + 10) + 72 = 180
170 - 4x + 2x + 10 + 72 = 180
170 - 2x +82 = 180
252 - 2x = 180
252 - 180 = 2x
72 = 2x
72/2 = x
36 = x
A = (170 - 4x) = (170 - 4(36)) = 26
B = (2x + 10) = (2(36) + 10) = 82
C = 72
Which graph represents 7x - 2y < 5?
From nine cards numbered 1 through 9, two cards are drawn. consider the selection and classification of the cards as odd or even as an experiment. how many sample points are there for this experiment?
Probability= 5/9
Even cards = 2,4,6,8
Odd cards = 1,3,5,7,9
The number of ways of choosing one odd and one even number is 5C1 * 4C1
( 5!/ 1!* 4!) * (4!/1! * 3!)
5* 4= 20
Total number of ways of choosing 2 cards out of 9 = 9C2
9!/ 2! * (9-2)!
= 9!/ 2! * 7!
= 9*8/2
= 9 *4= 36
Thus, Probability is = 20/ 36
= 5/9
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x - 4y=-20
x - 4y=-26
Answer:
x − 4y = −20x − 4y = −26
Step-by-step explanation:
Due tomorrow Help Please
When applying PEMDAS, always work from left to right. True or False?
Answer:
False
Step-by-step explanation:
Sometimes, multiplication can occur after addition. For example, in 3+4*7, you don't add 3 and 4 first. You multiply 4 and 7 first since that's following the PEMDAS rule. After multiplying 4 and 7, then you add 3 to get a total of 31. ==> 3+4*7=3+28=31.
twice the larger of two consecutive integers is equal to fifteen less than three times the smaller
The larger of the two integers is 18 and the smaller integer is 17.
Integers are collection of whole numbers and negative numbers. Integers are not fractional numbers or decimal. Some examples of integers are -5,-25,0,13,9 .
Let us consider the smaller integer be x.
As the integers are consecutive, the larger integer is (x+1).
Now according to the given condition:
Twice the large integer=2(x+1)
15 less than the 3 times the smaller integer=3x-15
Now the value of these two expressions is equal.
Therefore: [tex]2(x+1)=3x+-15[/tex]
Solving the above equation to find the value of x:
[tex]or,2(x+1)=3x-15\\or,2x+2=3x-15\\or,2x-3x=-15-2\\or,-x=-17\\or,x=17[/tex]
Therefore the smaller integer is 17.
Larger integer(x+1) : 17+1=18
Therefore the integers are 17 and 18.
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A rectangle is 15 cm wide. Find the area and the perimeter of the rectangle if its width is 3/5 of its length
The area and perimeter of the rectangle are 80 cm and 375 cm² respectively.
How to find area and perimeter of a rectangle?The rectangle is 15 cm wide.
The width is 3 / 5 of its length
Therefore, the area and the perimeter of the rectangle can be found as follows:
area of a rectangle = lw
where
l = lengthw = widthTherefore,
w = 15 cm
15 = 3 / 5 × l
cross multiply
75 = 3l
l =75 / 3
l = 25 cm
Therefore,
area of the rectangle = 25 × 15 = 375 cm²
Perimeter of the rectangle = 2l + 2w
Perimeter of the rectangle = 2(l + w)
Perimeter of the rectangle = 2(25 + 15)
Perimeter of the rectangle = 2(40)
Perimeter of the rectangle = 80 cm
Therefore, the area and perimeter of the rectangle are 80 cm and 375 cm² respectively.
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Square root of 750 ..?
Answer: 27.3861278753
Step-by-step explanation:
√750 = 27.3861278753
The radius of a circle is 12 miles. What is the circle's area?
Answer: 452.16
Step-by-step explanation:
area of circle= πr² where r is the radius
the value of the radius is squared and multiplied by pi, i.e.. 3.14.
Find the general solution of the given higher-order differential equation. y(4) y''' y'' = 0
The homogeneous linear ODE
[tex]y^{(4)} + y''' + y'' = 0[/tex]
has characteristic equation
[tex]r^4 + r^3 + r^2 = r^2 (r^2 + r + 1) = 0[/tex]
with a double root at [tex]r=0[/tex] and two complex roots
[tex]r^2 + r + 1 = 0 \implies r = -\dfrac{1 \pm i\,\sqrt3}2[/tex]
Hence the characteristic solution is
[tex]y = C_1 e^{0x} + C_2x e^{0x} + C_3 e^{((-1/2)-i(\sqrt3/2))x} + C_4 e^{((-1/2)+i(\sqrt3/2))x}[/tex]
[tex]y = C_1 + C_2x \\\\ ~~~~~~~~~~ + C_3 e^{-x/2} \left(\cos\left(\dfrac{\sqrt3}2x\right) - i\, \sin\left(\dfrac{\sqrt3}2x\right)\right) \\\\ ~~~~~~~~~~ + C_4 e^{-x/2} \left(\cos\left(\dfrac{\sqrt3}2x\right) + i\,\sin\left(\dfrac{\sqrt3}2x\right)\right)[/tex]
[tex]y = C_1 + C_2x + C_3 e^{-x/2} \cos\left(\dfrac{\sqrt3}2x\right) + C_4 e^{-x/2} \sin\left(\dfrac{\sqrt3}2x\right)[/tex]
2help me PLEASE THIS IS WORTH SO MANY POINTS PLEAS EHELP ME
Answer:
I would say A
Step-by-step explanation:
Because just because a quadrilateral has 4 congruent sides, does not make it a rhombus. Because a square has 4 congruent sides too.
Pls help me im not that smart !!
Work Shown:
5 times 2 = 10
5 times 13 = 65
5 times 2.13 = 10.65
This rounds to 10.7 when rounding to the nearest tenth, i.e. one decimal place.
Savior loves to make waffles for breakfast normally it takes nine minutes to make three waffles he had some friends sleepover last night and he wants to make 10 waffles this morning if the waffles cook at the same rate how many minutes will it take Xavier to make the waffles this morning
Answer:
30 Mins
Step-by-step explanation:
9 mins for 3 waffles is 3 mins per waffle. 9÷3=3
3 mins for each of 10 waffles is 30 mins. 3×10=30.
Solve for the system:
-w+3z=18
5w+6z=15
What is 0.29 as a fraction in simplest form ?
Answer:
Step-by-step explanation:
0.29 as a fraction is 29/100. Anytime you have a decimal, just turn it into a whole number and simplify it. However, 29/100 is already in its simplest form.
Find the mode(s) for the given sample data. (if there are more than one, enter the largest value for credit. if there is no mode, enter 0 for credit.) 42, 25, 86, 30, 25, 15, 42, 42
For the given sample data, 42, 25, 86, 30, 25, 15, 42, 42, the mode is 42.
In statistics, the mode, denoted by Mo, refers to the most frequent value or values in the data set. If all the numbers in the data set appears only once, then the data set has no mode.
For the given sample data,
42, 25, 86, 30, 25, 15, 42, 42
the number 42 appears thrice, 25 appears twice and the rest appears only once.
The number 42 appeared the most frequent among all the other data.
Hence, the mode of the data set that contains 42, 25, 86, 30, 25, 15, 42, 42 is 42.
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need help pls it's due
Answer:
4. $216 gain
5. 30g
I hope this helps
(3-x)² what is the standard form
Answer:
here is my answer........
Step-by-step explanation:
(3-x)^2 = 9 - 3x - 3x + X2
= X2 - 6x +9
6-x^2 what is it
please answer correctly to be awarded brainliest
Answer:
i think the question might be incorrect or the question is incomplete
A 2. Given the plane DGF in the diagram, which points are collinear?
1. G, E, and F
2. D, E, and F
3. H, G, and D
4. G, D, and E
Answer:
B
Step-by-step explanation:
H,E on the line perpendicular to the plane
D,E,F on the horizontal line on the plane
Find the area of the region that lies inside both curves. r = 9 sin(), r = 9 cos()
The area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
The curves are:
r = 9 sin(θ) and
r = 9 cos(θ)
On graphing the above curves:
From the graph:
A = (1/2)∫(9sin(θ))2dθ + (1/2)∫(9cos(θ)2dθ
The region is symmetrical about π/4,:
A = 81∫sin2(θ)dθ from 0 to π/4
After solving:
= 11.56 square unit
Thus, the area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.
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Which of the following sentences contains a dangling modifier?
A. Exhausted and thirsty, Jack ran off the football field for a drink of water.
B. Embarrassed and humiliated, the singer ran off stage after forgetting the lyrics.
C. Heroically, the firefighter rescued the small child from the burning building.
D. Searching frantically, the homework was finally found and turned in.
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
I took the test
The sentence that contains a dangling modifier is D. Searching frantically, the homework was finally found and turned in.
What is a dangling modifier?A word or phrase that modifies a term that is not explicitly expressed in the sentence is known as a dangling modifier. A modifier provides a concept's definition, clarification, or more information.
A grammatical modifier that could be mistakenly understood as being connected to a word other than the one intended is known as a hanging modifier. A hanging modifier, which usually refers to a participle, has no subject.
Therefore, the sentence that contains a dangling modifier is Searching frantically, the homework was finally found and turned in.
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Determine the smallest integer that makes -3x + 7 -5x < 15 true.
Step-by-step explanation:
-3x+7-5x<15
-5x-3x+7<15
-8x+7<15
-8x<15-7
-8x<8
The smallest integer is -3x.
Two trains leave stations 240 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80
miles per hour. How long will it take for the two trains to meet?
Answer: get a verified 340
Step-by-step explanation: