The simplest form [tex]\frac{2\sqrt{3} }{\sqrt{6} }[/tex] is [tex]\sqrt{2}[/tex]
Step-by-step solution:
[tex]=\frac{2\sqrt{3} }{\sqrt{6} }[/tex]
[tex]=\frac{2\sqrt{3} }{\sqrt{2*3} }[/tex] (write factors of [tex]\sqrt{6}[/tex] i.e. [tex]\sqrt{2*3}[/tex])
[tex]=\frac{2\sqrt{3} }{\sqrt{2}\sqrt{3} }[/tex]
[tex]=\frac{2\ }{\sqrt{2}\ }[/tex]
[tex]=\frac{2\ }{\sqrt{2}\ } * \frac{\sqrt{2} }{\sqrt{2} }[/tex] (Rationalize it by [tex]\sqrt{2}[/tex])
[tex]=\frac{2\sqrt{2} }{2}[/tex]
[tex]=\sqrt{2}[/tex]
Therefore, the correct solution to this question is [tex]\sqrt{2}[/tex]
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work out the length of x
show working out
Answer:
12.12
Step-by-step explanation:
the formula to find x in this case would be:
______
x=√14^2-7^2
x=√c^2﹣a^2=√14^2﹣7^2≈12.12436
Help ASAP.. WILL MARK BRAINLIEST
Answer: 14
Step-by-step explanation: 3 x 4 = 12, 12 - 2 =10, so, the bottom line is 10, and the cd line is slightly longer than the bottom one, thus, the answer is 14.
Answer:
Okie the correct answer is 5
Step-by-step explanation:
I just took the test for that and I had the same answers.
I hope that helps
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households.
The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.
Population - all of the households in New York City in 1900.
Variable - a quantity equivalent to the number of children in a randomly selected household
Parameter - the mean number of children per household in New York City in 1900
Sample - the 200 households selected by the historian
Data - the 200 records collected by the historian
Statistic - the mean number of children per household in the historian's sample.
Complete question:
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.
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BRAINLIEST IF YOU CAN HELP ME!
52. 0.5(cos 100deg + I sin 100 deg ) convert to trigonometric form
PAGE 347; 52, 58, 60
Answer:
the answer us on the attatched documet
Step-by-step explanation:
can u just give me the brainliest
what is the equation of the line with a slope of -3 and passes through the point (-6,-3)
Answer:
f(x) = -3x - 21
Step-by-step explanation:
Graphed this equation and it passes through (-6, -3), also known as Point A.
55 pecans put them in 2 buckets where one has 15 more than the other
The number of pecans in each bucket will be 20 and 35.
How to illustrate the expression?From the information, there are 55 pecans are put in 2 buckets where one has 15 more than the other. An expression show the relationship between the variables.
In this case, 55 pecans put them in 2 buckets where one has 15 more than the other.
This will be:
x + x + 15 = 55
2x + 15 = 55.
Collect the like terms
2x = 55 - 15
2x = 40
Divide
x = 20
The other number will be:
x + 15.
= 20 + 15
= 35
The numbers are 20 and 35.
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55 pecans are put in 2 buckets where one has 15 more than the other. What is the amount in each bucket.
Help with this question
Its about shapes
Answer:
a
Step-by-step explanation:
triangles are pyramids and it has 6 sides
Answer:
Hexagonal prism
Step-by-step explanation:
We can rule out B and D because if it was a pyramid, there would be a triangle in the net (The net of a 3D shape is what it looks like if it is opened out flat). We can also rule on C because it it was a cylinder, there would be a circle in the net. Therefore, our remaining answer is A.
Punit had 12 tomatoe. He cut each into 6 lice. He ued 4 lice of the 16 andwiche he made. How many lice were remaining?
If Punit had 12 tomatoes. He cut each into 6 lice. He used 4 lice of the 16 sandwiches he made then 68 slices were remaining.
There were 12 tomatoes and each was cut into 6 slices, giving a total of 72 slices. Here we have to multiply 6 with 12
12×6=72
Of these, 4 slices were used to make sandwiches, leaving 68 slices remaining. Here we have to subtract 4 from 72
72-4=68
Therefore, Punit had 68 slices left, or 11.33 tomatoes, after making the sandwiches. This means that Punit had 68 lice of tomato remaining after making the sandwiches.
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Wht is the missing part of 1/7 of ... 1/35
The missing part is 1/5. The complete expression is 1/7 of 1/5 is 1/35.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
We have the expression:
1/7 of (...) = 1/35
To find the missing fraction:
Let n be the number.
So,
1/7(n) = 1/35
n = 7/35
n = 1/5
Therefore, 1/5 is the missing part.
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Which expression has a coefficient of 4?
The required expression that has the coefficient 4 is 4x⁵. Option B is correct.
What is the expression?The expression is the relationship between variables and represented as y = ax + b is an example of a polynomial expression.
here,
Since the question seems to be incomplete,
A standard question can be given as,
Among the following option find the expression that has a coefficient of 4.
(a) 2x + 1
(b) 4x⁵
(c) ax⁶
(d) 7x²
Since the coefficient is the value present at the prefix of the variable term,
So the variable term that holds the coefficient 4 is 4x⁵.
Thus, the required expression is 4x⁵. Option B is correct.
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A rhombus with a perimeter of 24 units is graphed on a coordinate grid. The rhombus is dilated by a scale factor of 0.3 with the origin as the center of dilation.
If (x, y) represents the location of any point on the original rhombus, which ordered pair represents the coordinates of the corresponding point on the resulting rhombus?
A) (x, y) → (0.3x, 0.3y)
B) (x, y) → (24x, 24y)
C) (x, y) → (x ÷ 0.3, y ÷ 0.3)
D) (x, y) → (x + 0.3, y + 0.3)
Answer:
Step-by-step explanation:
It’s c
3. ) Mary is the director of the Washington Performing Arts Center. Her employer offers a pension. Mary’s employer uses a formula to calculate the pension. Marina is planning on retiring at the end of this year after 30 years of employment. A retiring employee receives 1. 6% of his or her average salary for the last 5 years of employment multiplied by the number of years worked. Mary would receive this amount each year until her death. Her salaries for the last 5 years are $80,900; $90,200; $95,000; $99,000; and $104,000. Calculate Marina’s pension
Marina's pension amount is calculated by multiplying 1.6% of her average salary for the last 5 years by the number of years she has worked, which is 30.
1.6% x $80,900 = $1,282.40
1.6% x $90,200 = $1,444.32
1.6% x $95,000 = $1,520.00
1.6% x $99,000 = $1,584.00
1.6% x $104,000 = $1,664.00
Total = $7,604.72
Pension amount = $7,604.72 x 30 years
= $228,141.60
Marina's pension amount is determined using a formula set by her employer, the Washington Performing Arts Center. This formula takes into account her average salary for the last five years, which is $469,100, and multiplies it by 1.6%, then by the number of years she has worked for the Center, which is 30. This results in a pension amount of $228,141.60. This amount will be paid each year until her death. This pension amount is calculated based on the salaries she has earned over the past five years, which include $80,900; $90,200; $95,000; $99,000; and $104,000.
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For which equations does 38 make the equation true? Choose all that apply.
A. 48+□=78
B. 118−□=1
C. 118+□=418
D. 168−□=138
Answer:
There no option for the option are you sure all option were correctly states or written otherwise the answer is not there
Step-by-step explanation:
Samuel walked in the Labor Day parade. He walked 3 1/8 miles along the parade route and 2 5/6 miles home. For numbers 3a-3c, fill in each blank.
3a. Rounded to the closest benchmark, Samuel walked about. Miles on the parade route.
3b. Rounded to the closest benchmark, Samuel walked about. Miles home.
3c. Samuel walked about. Miles in all
3a) Rounded to the closest benchmark, Samuel walked about 3 Miles on the parade route.
3b) Rounded to the closest benchmark, Samuel walked about 2 Miles home
3c) Samuel walked about 5 Miles in all
We know that when rounding a fraction to the closest benchmark:
1) if the numerator is much smaller than the denominator, round a fraction to 0
2) if the numerator is about half the denominator, round a fraction to 1/2
3) if the numerator is nearly equal to the denominator, round a fraction to 1
Samuel walked 3 1/8 miles along the parade route.
Rounding to the closest benchmark a fraction 3 1/8 woule be
3 1/8
= 3
This means, he walked about 3 Miles on the parade route.
Samuel walked 2 5/6 miles home.
Rounding to the closest benchmark a mixed fraction 2 5/6 woule be
2 5/6
= 2
This means, he walked about 2 Miles homes.
The total distance would be,
d = 3 + 2
d = 5 miles
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Someone please please help
Answer:
A. ⁵/2
Step-by-step explanation:
The slope of the line that is perpendicular to y = -⅖x + ⅘ is the negative reciprocal of the slope of y = -⅖x + ⅘ .
Slope of y = -⅖x + ⅘, is -⅖.
Negative reciprocal of -⅖ = 5/2
Therefore the slope of the line that is perpendicular to y = -⅖x + ⅘ is ⁵/2
which statement is true about the equation 4x - 4x - 5 = -5
it has no solution
it has one solution has
two solutions
it has infinitely many solutions
Answer:
It has infinitely many solutions. The 4x's cancel themselves out and you are left with -5=-5, which is a true statement.
Step-by-step explanation:
branliest please
What is the slope of the line that passes through (-3, -1) and (-5, 5) ? Fractions must be in simplest form.
Answer:
-3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-1) / - 5 - (-3)
6 / -2
= -3
Is the interval 0 1 Infinite?
Therefore, the interval (0, 1) must be countless and infinite. Since the interval (0, 1) is as large as R, R is also infinite.
Interval:
In mathematics, a (real) interval is a set of real numbers containing all real numbers between any two numbers in the set. For example, the set of numbers x such that 0 ≤ x ≤ 1 is an interval containing (0, 1), and all numbers in between. Other examples of intervals are the set of numbers with 0 < x < 1, the set of all real numbers, the set of non-negative real numbers, the set of positive real numbers, the empty set, and any Singleton (a set of one element).
Real intervals play an important role in integral theory. This is because real intervals are the simplest set whose "length" (or "scale" or "magnitude") is easy to define. The notion of measure can be extended to more complex sets of real numbers, leading to the Boral measure and finally the Lebesgue measure.
Intervals are central to interval arithmetic, a general numerical technique that automatically provides guaranteed bounds for any mathematical expression, even in the presence of uncertainties, mathematical approximations, and arithmetic rounding.
Open Interval:
Open intervals do not include endpoints and are indicated by parentheses. For example, (0, 1) means greater than 0 and less than 1. This is (0, 1) = {x | 0 This interval can also be expressed as ]0, 1[ . Please refer to the following.
Closed Interval:
A closed interval is an interval that contains all boundary points and is indicated by square brackets. For example, [0, 1] means greater than or equal to 0 and less than or equal to 1.
Half- Open Interval:
A half-open interval contains only one of its endpoints and is represented by a combination of open and closed interval notation. Example: (0, 1) means greater than 0 and less than or equal to 1, [0, 1) means greater than or equal to 0 and less than 1.
Complete Question:
II. Identify the following terms described in each item. Quantitative & Quaeritated. It can be separated into different categories that are distinguished by some nonnumeric characteristics. 2. It consists of numbers representing counts or measurements. Quantitative Quantitative 3. The result from either a finite number of possible values or countable number of possible values as 0, or 1, or 2, and so on 4. The result from infinitely many possible values that can be associated with points on a continuous scale in such a way that there are no gaps or interruptions 5. It is characterized by data that consist of names, labels, or categories only. 6. It involves data that may be arranged in some order, but differences between data values either cannot be determined or are meaningless. 7. It involves meaningful amounts of differences between data. It has no true zero point or absolute zero. 8. It contains all the properties of the interval level but has true zero point or absolute zero. 9. It is a complete collection of all elements to be studied. 10. It is a branch of Mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.
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What is a zero degree polynomial?
Any polynomial whose coefficients are all equal to zero is said to be a zero polynomial. As a result, the zero polynomial's degree is either undefined or set to -1.
The largest exponential power in a polynomial equation is called the polynomial's degree. Any polynomial's degree is determined only by its variables; coefficients are should be disregarded. The degree of a polynomial is given for an nth degree polynomial function with real coefficients and x as the variable with the largest power n, where n accepts whole integer values: p (x) = [tex]$$p(x)=a_n x^n+a_{n-1} x^{n-1}+a_{n-2} x^{n-2}+\ldots+a_1 x^1+a_0$$[/tex] in standard form is given as 'n'.
The largest power of a variable in a polynomial equation is the polynomial's degree. Only terms with variables are taken into consideration when calculating the degree of a polynomial function. The degree of a polynomial is determined by the variable term's maximum exponential power.
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Is the following graph proportional or non proportional?
HELPPPPPPP!!!
how do i find the unit rate for 30 inches per 5 years
per year unit rate becomes 6 inches. This can be solved using the concept of unit rate.
What is an unit rate?A unit rate is a price for one of anything. This is expressed as a proportion with such a base of one. For instance, you would cover 7 yards on average every second if you covered 70 yards in 10 seconds. The ratios of 70 yards in 10 seconds and 7 yards in 1 second are both rates, however, the latter is a unit rate.
A rate is the ratio of two different measurement units, whereas a unit rate seems to be the ratio of two different units of measurement for just a single object.
unit rate for 30 inches per 5 years:
= 30 inches / 5 years
= 6 inches / 1 year
Thus, per year unit rate becomes 6 inches.
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A population of bacteria grows according to function p (t) = p. 1. 42', where t is measured in hours. If the initial population size was 1,000 cells, approximately
how long will it take the population to exceed 10,000 cells? Round your answer to the nearest tenth
The time duration for the population to exceed 10,000 is approximately 6.6 hours
What is time ?
In mathematics, time is described as a continuing and continuous series of events that take place in chronological order from the past through the present and into the future. The duration of events, the gaps between them, or even the sequencing of occurrences can all be quantified, measured, or compared using time.
the time frame that an activity, process, or state lasts or continues to exist: duration is a non-spatial continuum that is measured in terms of subsequent occurrences from the past, present, and future.
The mathematical symbol used to represent the multiplication process and its subsequent product is the multiplication sign, sometimes referred to as the times sign or the dimension sign.
t = The time duration in hours
The initial population of the cells = 1,000
Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0
∴ P(0) = 1,000 = P₀ × 1 = P₀
P₀ = 1,000
When the population is 10,000, we have;
P(t) = 10,000 = 1,000 × 1.42^t
∴ 1.42^t = 10,000/1,000 = 10
㏒(1.42^t) = ㏒(10) = 1
∴ t × ㏒(1.42) = 1
t = 1/㏒(1.42) = 6.56649071898
∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.
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NEED HELP ON THIS ONE MY LAST QUESTON I HAVE 10 MINS
Answer:
10
Step-by-step explanation:
Formula:
[tex]\frac{a+b}{2}*h\\\frac{3.4+b}{2}*6.7=44.89\\3.4+b=13.4\\b=10[/tex]
Answer:
b = 10
Step-by-step explanation:
[tex]A=\frac{a+b}{2}h[/tex]
[tex]44.89=\frac{3.4+b}{2} 6.7[/tex]
[tex]6.7=\frac{3.7+b}{2}[/tex] divided both sides by 6.7
[tex]13.4=3.7+b[/tex] multiplied both sides by 2
b = 10
find the measure of angle 2
Answer:
52°
Hope this helps!
Stefan sells Jin a bicycle for $151 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
a)$235.20
b) $67.20
Step-by-step explanation:
Stefan sells Jin a bicycle for $151 and a helmet for $17.
a) How much did Stefan spend originally?
Total cost for Jin = $151 + $17
= $168
The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet.
Hence,
140% of $168 = $235.20
b) How much money did he make by selling the bicycle and helmet to Jin?
This is calculated as:
$235.20 - $168
= $67.20
=
Can someone please help me with math.
Answer:
Answer C 2,799.159
Step-by-step explanation:
[tex]v=\pi r^{2} h[/tex]
Find the surface Area?
What’s the surface area?
Help please?
Answer:
376 cm^2
Step-by-step explanation:
SA=((8x6) x2) + ((10x8) x2) + ((6x10) x2)
SA=(48x2) + (80x2) + (60x2)
SA=96+160+120
SA=376 cm^2
9-12r+6y. Distributive property
Answer:
The greatest common factor is 3.
Step-by-step explanation:
If you decompose 9 you will get 3*3 so 9=3*3
If you decompose 12 you will get 2*6,then you can decompose 6 which 2*3 so 12=2*2*3
If you decompose 6 you will get 2*3 so 6=2*3
What do all of these numbers have in common?The 3.
So 3 is the greatest common factor.Now you just put the 3 in front and then open the bracket and divide each of the number by 3.
9/3=3
-12x/3=4x
6y/3=23
So,this will be your answer 3(3-4x+2y)
can anyone help me answer this? please and thanks!
9514 1404 393
Answer:
7/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent ratio is ...
Tan = Opposite/Adjacent
The side opposite angle A is BC, length 7. The side adjacent to angle A is AC, length 5. Then the tangent ratio is ...
tan(A) = BC/AC
tan(A) = 7/5
Suppose a theater cast has 28 actors, 8 of whom are men. Express the ratio of men to women in simplified rational form.
Answer:11/4
Step-by-step explanation: