Answer:
[tex]\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{8}}{\sqrt{3n^3}}==\frac{\sqrt{8}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{2}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]
hree hundred books sell for 40 dollars each, resulting in a revenue of 12,000 dollars. For each $5 increase in the price, 25 fewer books are sold. Write the revenue R as a function of the number x of $ 5 increases.
A total of 12,000 dollars is made from the sale of 300 books at a price of $40 each. 25 fewer books are sold for every $5 increase in price. R(x)=(40+5x)(300−25x) R ( x ) = ( 40 + 5 x ) ( 300 − 25 x )
What is the revenue R as a function of number x ?Assumed in this instance is , At a price of 40 dollars apiece, [tex]$(300)(40 \$)=12,000 \$$[/tex] books generate $300 in revenue. The result is that 25 fewer books are sold if we raise the price of each book by $5. That's [tex]$(300-25 x)$[/tex]. Due to the fact that the price always rises by five times more than the number of books, the cost is [tex]$(40+5 x)$[/tex].
[tex]$R=(300-25 x) \cdot(40+5 x)$[/tex]
[tex]$R=12000+6000 x-1000 x-125 x^2$\\$R=-125 x^2+5000 x+12000$\\$R=125 x^2-5000 x-12000$[/tex]
The revenue R is expressed as a function of the number x as it approaches 5. R(x)=(40+5x)(30025x) is the necessary revenue function. R(x) = (40 + 5 x)(300 25 x) is the necessary revenue function.
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Zachary's art club ordered a giant sub sandwich for a party. It was 5 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?
The length of each piece of the sandwich is 0.3125 feet.
What is a unitary method?A unitary approach is a mathematical technique for finding the value of a single unit and then multiplying it by any number of other units to derive the value of the given units.
Given, Zachary's art club ordered a giant sub sandwich for a party.
Therefore, t6o obtain the length of each piece we have divide the total length of the sandwich by the total number of pieces which is,
= (5/16) feet.
= 0.3125.
So, The length of each piece is 0.3125 feet.
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Find slope from this graphhhhh
Answer:
Ok ill find the slope for this graphhhhh
Step-by-step explanation:
-3/4
Three consecutive odd integers have a sum of -75 what are the three numbers
65 POINTS TO WHO EVER ANSWERS CORRECT
Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.
Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Which statement is correct based on the data?
1. The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.
2. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
3. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.
4. The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.
The correct statement based on the data is,
⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
Option 2 is true.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.
Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Now, By definition of ratio, we get;
The ratio of smoothie size to mangos used for Bri is,
⇒ 24 : 3
⇒ 8 : 1
And, The ratio of smoothie size to mangos used for Angela is,
⇒ 32 : 4
⇒ 8 : 1
Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
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PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS
Answer:
Mark the sides BC and DF as congruent---------------------------------------------------We are given a side and an adjacent angle and need to identify the missing side or angle for proof by SAS .SAS is side-angle-side and requires two sides and the included angle to be congruent on both triangles.The missing bit is the other side of the marked angle B and D:sides BC or DF.
Step-by-step explanation:
Please help! I'll mark as brainliest
Answer:
your work is not clearly taking sorry i can't see
what is the surface area of a triangular prism of 15 ft, and of 3ft and 5ft?
Answer: 225 ft
Step-by-step explanation:
Multiply: 1) (5xy+3yz) and 2xz
2) 6/7x2y and (35/6xy + 14/3 xy2
3) (2x3-3x2+6x-8) and (-5x2)
Therefore, the multiple of the given equations is 10x^2yz + 6xyz^2, 5x^3y^2 + 14x^3y^3, and -10x^5 + 15x^4 - 30x^3 + 40x^2.
Define Polynomial Multiplication.The process of multiplying two or more polynomials together is known as polynomial multiplication. Applying the distributive property to the multiplication of polynomials allows us to conduct polynomial multiplication.
What is multiplication?Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then implies that 3 gets multiplied by itself twice, meaning 3 + 3 = 6. Children can multiply numbers easily with the help of this method.
1. (5xy+3yz) * 2xz = 10x^2yz + 6xyz^2
2. (6/7x2y) * (35/6xy + 14/3 xy2) = 5x^3y^2 + 14x^3y^3
3. (2x3-3x2+6x-8) * (-5x2) = -10x^5 + 15x^4 - 30x^3 + 40x^2
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I need help plz no links
Answer:
6
Step-by-step explanation:
From the pythagorean theorem the square lenght of hypotenuse is equal to sum of square lenght of base and side
(6.5)^2 = x^2 + (2.5)
42.25 = x^2 + 6.25 subtract 6.25 from both sides
36 = x^2 and x = 6
a(a-bx)/x=2/3
PLEASE
Answer:
This cannot be solved but it can be simplified
first we open the bracket
so we have
a²- abx/x = 2/3
next we cross multiply so it will be 3(a² - abx) = 2x
we get
3a² - 3abx = 2x
Next we factorise so we can get
3a(a-bx) =2x
I dont know what exactly you where asked but I hop this helps
Which fraction is greater 28/16 or 7/4
Answer:
business plan proposal
Answer:
we have to make the denominator of both the fraction same so that we can compare.
We have to multiplybboth nominator and denominator by 6.then,
7×6/4×6=28/16
Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4
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For the interval estimation of μ when σ is assumed known, the proper distribution to use is the_____. a. standard normal distribution b. t distribution with n degrees of freedom c. t distribution with n − 1 degrees of freedom d. t distribution with n − 2 degrees of freedom
When estimating a population mean (μ) with a known population standard deviation (σ), the proper distribution to use is the standard normal distribution. So, correct option is A.
This is because the sampling distribution of the sample mean follows a normal distribution when the population standard deviation is known. The central limit theorem guarantees that the sample mean will be normally distributed with mean μ and standard deviation σ/√n, where n is the sample size.
The formula for constructing a confidence interval for μ when σ is known is:
CI = x' ± zα/2 * (σ/√n)
where x' is the sample mean, zα/2 is the z-score corresponding to the desired confidence level (α), σ is the population standard deviation, and n is the sample size.
Since the standard normal distribution has a mean of 0 and a standard deviation of 1, we can use z-scores to find the appropriate values for zα/2. This is why the standard normal distribution is used for interval estimation when σ is known.
In summary, the standard normal distribution is used for interval estimation of μ when σ is known because the sampling distribution of the sample mean is normally distributed when the population standard deviation is known.
So, correct option is A.
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Please help this assignment is for a grade.
Answer:
the answer is d
Step-by-step explanation:
need help plsssssssss
Answer: y<-5x+9
Step-by-step explanation:
Slope is -5, y-intercept is 9 and the shaded area is on the left side (meaning y is less than the line). The line is dotted which means that the answer will less than but not equal to.
HELP ASAP DUE SOON BRAINIEST
You spend $180 on pants and shirts. You pay $12 per pair of pants (x) and $15 per shirt (y). You buy 6 more pairs of pants than shirts.
Write a system of equations.
Answer:
x + y = 180
y + 6 = x
4) Suppose you want the volume of your large box to be exactly 23124'cubic inches. If the length is 20.5 inches, and the height is 12 inches, what must the width be?
Answer:
94 inches
Step-by-step explanation:
first calculate the surface area of the side of the container by multiplying 20.5 by 12, then take that number and divied 23124 by it to see how many inches of sides you need to make 23124
another way to explain it, multiply 20.5 by 12 to get the surface area of a plane, then divide 23124 by the surface area fo the plane to get how many inches of planes you have to have in order to have 23124 inches of total space
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
I need help with these problems! will give thanks!
please please please help
9514 1404 393
Answer:
a° = 52°
b° = 64°
c° = 128°
Step-by-step explanation:
a) The 52° angle and the angle marked a° both intercept the same arc, so have the same measure.
a° = 52°
__
b) The base angles of the isosceles triangle are equal. This means they are ...
b° = (180° -52°)/2 = 128°/2
b° = 64°
__
c) The arc intercepted by angle b° is twice the measure of angle b°, so is ...
c° = 2(64°)
c° = 128°
Radicals please help
On solving the provided question, we can say that - the radicals are as follows be = 3x^2|y| sqrt(7x)
what are radicals?The square root or nth root symbol is called a radical. Expressions with square roots are referred to as root expressions. A radical's radicand is a number or phrase that appears there. The radicals 7, 2y+1, and so on are examples. The following phrases can also be used to describe radicals: Radical equations are equations contained within of radicals. The term "root expression" refers to the expression found inside the square root. Examples of radical representations are the numbers 2, 372, 2x+7, and 41p.
here,
the radicals will be - 7xy ∛(xy^2)
and 3x^2|y| sqrt(7x)
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What is solvable and unsolvable problems?
Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.
Specify the algorithm.A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.
Here,
Two different kinds of issues arise in TOC: - Problems that can be and can't be computed When something is "computable" (or "solvable"),
it means that it can be solved using an algorithm or a set of steps.
No method exists that can produce an output that is either "true" or "false," hence this problem is non-computable (or unsolvable).
Therefore , the solution of the given problem of algorithm comes out to be solution of the non solvable and solvable problems cannot be solved.
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Colorado State Flag (7. 4. A. 1. 4)
Illustrative Mathematics
1. 4: Colorado State Flag
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
The height of the flag is 18 feets.
What is a rectangle?Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Length is equal to 2 (2 + 3) the sum of the side lengths.
The sum of side length divided by (12) equals (2/5)
12 = 0.4(sum of side length) (sum of side length)
divide both sides by 0.4.
The height of the flag is calculated as side lengths plus length.
Height of flag: (30 – 12) = 18 feet
Therefore, the height of the flag is 18 feets.
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Elliot purchased 3 trick cameras and 4 fake
snakes and spent a total of $40. Kaci bought 7
trick cameras and 8 fake snakes, and her total
was $85. Let x be the price of the trick
cameras and let y be the price of the snakes. What are equation can be used to solve this system of equations?
If Elliot purchased 3 trick cameras and 4 fake snakes for $40 and Kaci bought 7 trick cameras and 8 fake snakes for $85 , then the system of equations that can be used to find the cost of trick camera and fake snakes are [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .
Elliot purchased 3 trick cameras and 4 fake snakes for $40 ;
Kaci purchased 7 trick cameras and 8 fake snakes for $85 ;
let the number of trick cameras purchased be = x ;
let the number of fake snakes purchased be = y ;
So , the equation for Elliot's purchase is ⇒ [tex]3x+4y=40[/tex] ;
and the equation for Kaci's purchase is ⇒ [tex]7x+8y=85[/tex] ;
Therefore , the equations to solve for the number of trick cameras and number of fake cameras are [tex]3x+4y=40[/tex] and [tex]7x+8y=85[/tex] .
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One angle in a triangle measures 98°. Another angle measures 37°.
What is the measure of the third angle?
Answer:
98 + 37 = 135
180 - 135 = 45
Step-by-step explanation:
u might be asking yourself why added both of the measures .The reason why i added both of the measurements and subtracted it from 180 is that a triangle measures up to 180 if u ever hear someone talkin about an angle that measures more than 180 then that won't be a trianlge ...If u add both of the answers the will surely give u 180 if u don't believe it 98 + 37 +45 = 180
Solve the equation.
c4−5=4
Answer:
c=2,25
Step-by-step explanation:
c4=5+4
c4=9
c=9:4
c=2,25
Answer:
c=4
Step-by-step explanation:
4c-5=4
/4 /4
c-5=1
+5 +5
c=6
uh i need help now pls ty
Answer:
2 and 3/4
Step-by-step explanation:
The pattern is to add 2/4 each time. to find the 6th term, add 2/4 three more times.
1 and 1/4 + 2/4 = 1 and 3/4
1 and 3/4 + 2/4 = 2 and 1/4
2 and 1/4 + 2/4 = 2 and 3/4
An electronics store owner is trying to how much they should try to sell a computer that cost the store $200. They want to increase this price by 25% for the store’s profit and then increase that new price by 15% to account for the sales person’s profit. How much should they sell the computer for?
Answer:
They should sell the computer for $287.50
Step-by-step explanation:
Let's solve the 25% increase first
100% = $200
100% + 25% = 125% = 1.25
200 x 1.25 = $250
Then we find the 15% increase
100% = $250
100% + 15% = 115% = 1.15
250 x 1.15 = $287.50
So, they should sell the computer for $287.50
Which equation can be used to solve for the value of n if 2 + n = 12?
n = 12 – 2
n = 2 – 12
n = 12 + 2
n = 2 + 12
Nachelle just accepted a job at a new company where she will make an annual salary of $57000. Nachelle was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Nachelle make as a salary after 4 years working for the company? What would be her salary after tt years?
a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.
b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).
What is the slope-intercept equation?The slope-intercept equation is in the form of y = mx + b.
The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.
Initial starting salary per year = $57,000
Annual raise in salary = $4,000
Period = 4 years
Salary after 4 years = $73,000 [$57,000 + $4,000(4)]
Salary after t years = $57,000 + $4,000(t)
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Find the area of a circle with radius,
r
= 6.43m.
Give your answer rounded to 2 DP.
Answer:
129.89 m²
Step-by-step explanation:
Area of a circle of radius r is A = πr².
If r = 6.43 m, then A = π(6.43 m)² = 129.89 m²