\(4√3\)what is equivalent to 4 sqrt 3
The equivalent expression to 4√3 is √48 or 6.928.
What is the equivalent expression?
An equivalent expression is an expression that has equal value to the original given expression.
From the given expression, we can determine its equivalent expression as follows;
The given expression = 4√3
We can square 4 and multiply it by 3 and enclose all with the square root.
4√3 = √(4² x 3 )
= √ ( 16 x 3 )
= √ ( 48 )
= 6.928
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Solve ( 5 5 6 + 1 3 4 ) − 4 7 12 . Select the correct solution. A. ( 5 + 1 + 5 6 + 3 4 ) − 4 7 12 = ( 6 + 8 10 ) − 4 7 12 = 6 8 10 − 4 7 12 = ( 6 − 4 ) + ( 8 10 − 7 12 ) = 2 1 12 B. ( 5 + 1 + 10 12 + 9 12 ) − 4 7 12 = ( 6 + 19 12 ) − 4 7 12 = 7 7 12 − 4 7 12 = 11 C. ( 5 + 1 − 4 ) + ( 10 12 + 9 12 − 7 12 ) = 2 + 12 12 = 2 + 1 = 3 D. ( 5 + 1 − 4 ) + ( 5 6 + 3 4 − 7 12 ) = 2 + 5 + 3 − 7 6 + 4 − 12 = 2 + 1 2 = 2 1 2
the correct solution is option A: (5 + 1 + 5/6 + 3/4) − 4/7 = (6 + 8/10) − 4/7 = 6 8/10 − 4/7 = (6 − 4) + (8/10 − 7/12) = 2 1/12.
How to solve and what is fraction?
( 5 5 6 + 1 3 4 ) − 4 7 12
First, we need to find the least common denominator of the fractions involved which is 12.
(5 x 12 + 5 + 1 x 12 + 3) / 12 - 4/12
= (60 + 5 + 12 + 9) / 12 - 1/3
= (86 / 12) - (4 / 12)
= (82 / 12)
= 6 10/12
= 6 5/6
Therefore, the correct solution is option A: (5 + 1 + 5/6 + 3/4) − 4/7 = (6 + 8/10) − 4/7 = 6 8/10 − 4/7 = (6 − 4) + (8/10 − 7/12) = 2 1/12.
A fraction represents a part of a whole or a ratio between two quantities. It is expressed as a number over another number, separated by a horizontal or diagonal line called a fraction bar or a vinculum.
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The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot.
In 2019, 147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was Xbar=282. We want to estimate the mean score in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation =40.
If we take many samples, the sample mean Xbar varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score in the population. What is the standard deviation of this sampling distribution?
Give your answer to four decimal places.
The standard deviation of the sampling distribution is approximately 0.3292.
What is central limit theorem?The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.
Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.
The standard deviation is given by the formula:
SD = σ/√(n)
Now, substituting the value of σ = 40, n = 147,400 we have:
SD = σ/√(n) = 40/√(147400) ≈ 0.3292
Hence, the standard deviation of the sampling distribution is approximately 0.3292.
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Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
EK BAKI
The entire school, 250 students, went to the soap box derby.
The Math Club went in 2 vans, and each van held 6 students.
How many students from the Math Club went to the soap box
derby?
Paul added vans to students. Eva multiplied students by vans
Since 2+ 6 + 8, eight Math Club Since 6x2 = 12, twelve Math Club
students went to the soap box students went to the soap box
derby
derby
A. Eva
B. Paul
Answer:
A. Eva
Step-by-step explanation:
Given that
The entire school, 250 students, went to the soap box derby.2 vans went to soap box derby and each van held 6 students.
To find the total number of students from the Math Club who went to the soap box derby, we need to add the number of students in each van, the number of times equal to the number of vans.
i.e. by adding 6 (i.e. number of students in each van) 2 (number of vans )number of times, we can get the number of students from Math Club who went to the soap box derby.
Number of Math Club students who went to the soap box derby = 6 + 6 = 12
OR
Simply, multiply number of students in each van with the number of vans .
6 \(\times\) 2 = 12
Therefore, Eva is correct about the calculations.
How do you refer 2ml of blue and 6ml of green in batches
Answer:
8ml
Step-by-step explanation:
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed
Answer:
7/25
Step-by-step explanation:
cos A = adj/hyp
50 is the hypotenuse
For angle Z, 14 is the adjacent leg.
cos Z = 14/50
cos Z = 7/25
Adam tried to write 4 + 5x² +4 as a product of linear factors. This is his work:
2*+5 +4
= (x² + 4)(x² + 1)
= (x² + 4)(x + i)(x − i)
= (x+i√2)(x − i√2)(x+i)(x-i) Step 3
In what step did Adam make his first mistake?
Adam makes his first mistake in the first step. And the product of linear factors will be (√5x - 2i √2) and (√5x + 2i√2).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 4 + 5x² + 4
Simplify the expression, then we have
⇒ 5x² + 8
Factorize the expression, then we have
⇒ 5x² + 8
⇒ (x√5)² - (2i √2)²
⇒ (√5x - 2i √2) (√5x + 2i√2)
Adam makes his first mistake in the first step. And the product of linear factors will be (√5x - 2i √2) and (√5x + 2i√2).
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PLEASE SERIOUSLY, I REALLY NEED HELP WITH THIS, I ASK YOU PLEASE
Answer:
right now if you were to have a coke depending on the weather is from where you are standing effect how long it will take to melt
Step-by-step explanation:
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
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3. If a 35-foot cable were run from the top of the pole and anchored to the ground at a distance from the pole, about how far away from the pole would it be anchored?
The distance from the pole at which the cable is anchored is about 25 feet from the pole .
Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.
Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.
we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.
Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .
Simplifying the above equation
1225 = 1600 - 80ED + ED²
1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0
Factorizing the above quadratic equation
ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)
= 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.
The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.
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A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L)
Answer:
Step-by-step explanation:
1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.
• Which equation can be used to find the price, x, of one sandwich?
5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50
Answer:
5x - 2 = 50
Step-by-step explanation:
The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.
Answer:
5x - 2 = 50
I READY!!!
holpe it help
Please help this is due today and my teacher is out
Answer:
domain: All Reals
range: y ≥ 4
Step-by-step explanation:
The Domain for ALL Polynomials (Quadratics included) is All Real numbers
Range is all of the Y-values in the graph. Since the Lowest Point of this graph is the Vertex, the lowest value in the range is the y-value of the vertex: 4. From there, the graph goes Infinitely Up.
Convert the following numbers to engineering notation. Where applicable, solve and show answer in engineering notation. (8.2 × 103) × (5.0 × 104) =
Engineering notation of the number (8.2 × 103) × (5.0 × 104) is
4.39192 × 10⁵
OR
4.4 ₓ 10⁵.
What is engineering notation ?
Engineering notation is same as scientific notation.
According to the given question
Converting (8.2 × 103) × (5.0 × 104) to engineering notation can be done using a base and raising it to the power of 10.
Base can be greater than or equal to 1 and less than 10.
Suppose base is a
∴ 1≤a<10 and the number in engineering notation will be of the form a×10ⁿ
Given (8.2 × 103) × (5.0 × 104) which is
= 844.6 × 520
= 439192
=4.39192 × 10⁵
= 4.4 ₓ 10⁵.
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Hello, parent looking for the answer to teach my child!
start sketching the situation
Start by finding the difference between MO and NO
\(\begin{gathered} MO-NO=MN \\ 8-5=MN \\ MN=3 \end{gathered}\)Then,
\(\begin{gathered} MN+NP=MP \\ 3+13=MP \\ MP=16 \end{gathered}\)The number of students, s, is at most 30.
Answer:
I'm confused
Step-by-step explanation:
maybe more context?
7x+28=7(x+4) how many solutions
The equation 7x + 28 = 7(x + 4) has infinite many solutions
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the number of solutions?A system of linear equations is a collection of at least two linear equations.
In this case, the equation is given as
7x + 28 = 7(x + 4)
Open the bracket
7x + 28 = 7x + 28
Subtract 7x from both sides of the equation
28 = 28
Subtract 28 from both sides of the equation
0 = 0
The above equation is true, because both sides of the equation are the same
This means that the equation has infinite many solutions
Hence, the equation 7x + 28 = 7(x + 4) has infinite many solutions
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The formula relating linear velocity v and angular velocity ω for a circle of radius r is______ , where the angular velocity must be measured in radians per unit time.
Answer:
\(v=wr\)
Step-by-step explanation:
The formula relating linear velocity v and angular velocity ω for a circle of radius r is
\(v=wr------1\)
where v = linear velocity in m/s
w= angular velocity in rad/s
r= radius of curve
Both linear and angular velocity relates to speeds of objects, while linear velocity is to objects that moves, angular velocity is to objects that turns
what is archieves meaning
Answer:
the meaning is "a collection of historical documents or records providing information about a place, institution, or group of people."
Step-by-step explanation:
hope this helped and plz mark me as brainliest!
Answer:
a collection of historical documents or records providing information about a place, institution, or group of people
Step-by-step explanation:
Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y
Answer:
x² + 11x-16y
Step-by-step explanation:
The given equation is :
\(2(4x + y) + 3(x - 6y) + x^2\)
It can be simplified as follows :
\(2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2\)
So, the correct option is (d) i.e. x² + 11x-16y.
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?
(2, 3)
(1, –9)
(–3, –4)
(6, –13)
Answer:
(6,-13)
Step-by-step explanation:
substitute x=4 and y=-5.
Therefore,
B(4, -5 ) → B(4+2,-5-8)
Simplify
B(4,-5) → (6,-13)
or you can do:
(4, -5) ⇒ (4+2, -5-8) = (6, -13)
Lenvy~
Answer:
(6, –13)
Step-by-step explanation:
The answer above is correct.
Write down the ratio 240 kg to 6 kg.
Give your answer in its lowest form.
The ratio of the given 240 kg to 6 kg will be 40:1.
What is Ratio?
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
the ratio 240 kg to 6 kg.
It will be simple 240/6 :: 40 :1
Hence the ratio of the given data will be 40:1
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(q2) A civil engineer wants to find out the length of a rod which stretches for 1 meter and can be given by the function x=2y^((3)/(2)) Find the length of the rod.
The Length of the rod is 3/5 meters.
The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).
To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,
we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,
we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.
Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,
we have:x = 2/5 y^(5/2) + 3/5
The length of the rod is given by the value of x when y = 1. Substituting y = 1,
we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5
The length of the rod is 3/5 meters.
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HELP i need it like now
The answer you are looking for is Substitution.
Have a great day.
which solid does this net represent? Select the correct answer from the drop-down menu.
In this problem, we have that
The net has one hexagonal base and six lateral triangular faces
That means
Is a hexagonal pyramidAnswer:
hexagonal pyramid
Step-by-step explanation:
Please help
Which poly nominal has the zeros 1,-2i and 3
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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Look at the box-and-whisker plot. What is the measure of the third quartile (Q3)?
Answer:
43.5
Step-by-step explanation:
A textbook store sold a combined total of 259 chemistry and sociology textbooks in a week. The number of sociology textbooks sold was 81 less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
178
259-81 you have to subtract
The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with parking passes, how many are female?
Answer:
24
Step-by-step explanation:
Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case
5*8 and 3*8 = 64
3*8 = 24
5*8 = 40
There are 24 girls