After solving the Linear equation, the value of the n becomes 18.4.
According to the statement
We have to find that the value of the n.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
The equation is 18 = (36.4-n)
Then we have to solve it
(36.4-n) = 18
36.4 -18 = n
After rearrange it then
n = 36.4 -18
Now subtract the equation, then
n = 18.4.
So, After solving the Linear equation, the value of the n becomes 18.4.
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Which scatterplot shows a linear association?
Answer:
Scatterplot c shows a linear association.
Please help!! I suck at math Help ASAP
Solve.
-254 = -10k - 2 - 8k
-254 = -10k -2 -8k
or, -254+2 = -18k
or, -252 = -18k
or, k = -252/-18 = 14
Answer is 14.
Answer: k = 14
Step-by-step explanation:
First combine like terms: -254 = -18k - 2
Next use Addition Property of Equality (add 2 to both sides to cancel the 2 on the right side of the equation) : -252 = -18k
Last, use Division Property of Equality (divide both sides by -18 to get k by itself): 14 = k
*when solving an equation like this, you are always trying to get k by itself, and whatever you do to one side, do it to the other to keep them equal
if x+\(\frac{1}{x}\)=\(\sqrt{11}\\\), find the value of \(x^{3}\)+\(\frac{1}{x^{3}}\)
Answer:
\(8 \sqrt{11} \)Answer:
\(8\sqrt{11}\)
Step-by-step explanation:
Given:
\(x+\dfrac{1}{x}=\sqrt{11}\)
Sum of two squares
\(\boxed{a^2+b^2=(a+b)^2-2ab}\)
\(\textsf{Let}\; a = x\)
\(\textsf{Let}\; b = \dfrac{1}{x}\)
Therefore:
\(\begin{aligned}x^2+\dfrac{1}{x^2}&=\left(x+\dfrac{1}{x}\right)^2-2x\left(\dfrac{1}{x}\right)\\\\&=\left(\sqrt{11}\right)^2-2\\\\&=11-2\\\\&=9\end{aligned}\)
Sum of two cubes
\(\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}\)
\(\textsf{Let}\; a = x\)
\(\textsf{Let}\; b = \dfrac{1}{x}\)
Therefore:
\(\begin{aligned}x^3+\dfrac{1}{x^3}&=\left(x+\dfrac{1}{x}\right)\left(x^2-x\left(\dfrac{1}{x}\right)+\left(\dfrac{1}{x}\right)^2\right)\\\\ &=\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)\\\\&=\left(x+\dfrac{1}{x}\right)\left(x^2+\dfrac{1}{x^2}-1\right)\\\\&=\sqrt{11}\left(9-1\right)\\\\&=8\sqrt{11}\end{aligned}\)
5. Which sentence best describes the runner whose distance-time graph is shown?
Distance from starting line (yards)
Answer:
I think C
Step-by-step explanation:
Sorry if i'm wrong
Miss Chen bought X number of jerseys for the new members of the volleyball team the cost for the X number of jerseys including $3.99 shipping was $82.49 each jersey cost $15.70 there is no sales tax on this purchase.
Part A which equation can be used to find x,the total number of jerseys purchased?
A)3.99(x+15.70)=82.49
B)15.70x - 3.99 = 82.49
C)82.49-3.99 + 15.70=82.49
D)15.70x + 3.99 = 82.49
Part B using mathematical reasoning explain why the other three equations are incorrect.
Pazzi how many total jerseys in Ms Chen purchase. SHOW YOUR WORK
Answer:______ Shirts
The equation that can be used to find x, the number of jerseys is 82.49 = 15.70x + 3.99
The other three equations are incorrect because the equation should be represented by total cost equals cost of each shirt multiplied by number of jerseys plus shipping cost.
Ms Chen purchased 15 jerseys.
How to write equations?Cost of x jerseys including shipping = $82.49
Cost of shipping = $3.99
Cost of each jersey = $15.70
82.49 = 15.70x + 3.99
82.49 - 3.99 = 15.70x
78.50 = 15.70x
x = 78.50 / 5
x = 5
In conclusion, the number of jerseys bought is 5.
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Need help on please
Answer:
12
Step-by-step explanation:
The figure is a right triangle with hypotenuse = QS
The base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)
The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)
Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides
QS² = 3² + 4² = 9 + 16 = 25
QS, the hypotenuse = √25 = 5
The perimeter = sum of the sides = 3 + 4 + 5 = 12 units
You deposit $500 into a savings account that increasing by 7% interest annually. Write the function that represents the balance after t years. Then what is the balance after 2 years.
Step-by-step explanation:
500 ×1.07^t <-- function (I think)
500 × 1 07^2 = $572.45 <-- balance after 2 years
Infinitely many solutions
-3x + y = 7
2x
-
Y
Y =
=
6x
3x
-
One solution
-
4y = -8
-4x
5
-4x + 1
-
y
= 4
2y = 8
0
No solution
Answer:
x=0
Step-by-step explanation:
help me pls this is not my type of answer
Complete the even numbers
Answer: change in y over Change in x(slope)
2. 3/3 or 1
4. 5/4
6.4/5
8.1/4
10.-2/-3
12.1/-3
14.-9/9 or -1
Find the volume of cone pictured below. Use 3.14 for π
.
Round your answer to the nearest hundredth.
Answer:
V≈718.38
Step-by-step explanation:
The volume of this cone is 718.38 cubic centimeters.
Have a nice day!
What is equivalent to 10/100
Answer:
1/10
Step-by-step explanation:
10/100
Dividing both sides by 10
10 ÷ 10/100 ÷ 10
1/10
Hence,
10/100 is equivalent to 1/10
Answer:
Decimal: 0.1 (One tenth)
Fraction: 1/10
Percentage: 10%
Step-by-step explanation:
For decimal that would be 10% out of 100% which is what 10/100 is as a percentage. The fraction would have the numerator and denominator divided by 10.The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.
I Hope this Helps
Arianys invests money in an account paying a simple interest of 3% per year. If m
represents the amount of money she invests, which expression represents her balance
after a year, assuming she makes no additional withdrawals or deposits?
Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
What is simple interest?Borrowers must pay simple interest to lenders as a fee for a loan. Compound interest is not taken into account while calculating it; just the principal is used. Simple interest is applicable to all loans. It is also the form of interest that banks give their customers on their savings accounts. There are two techniques to compute interest: simple interest and compound interest. The principal, or initial amount of a loan, is used to compute simple interest. Compound interest, sometimes known as "interest on interest," is calculated using both the original amount and the total accumulated interest from prior periods.The following calculation must be done in order to determine what Adrian should multiply his current balance by in order to find his total balance in a year in one step, assuming that no money will be added to or subtracted from the investment. Adrian invests money in an account that offers simple interest of 3% per year.
Current balance = X
Interest = 3% = 3/100 = 0.03
Interest + principal = 1.03
1.03X = Total balance in a year
Therefore, Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
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A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.\(\mu\) is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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The mean June midday temperature in Desertville is 36°C and the standard deviation is 3°C.Assuming this data is normally distributed, how many days in June would you expect the midday temperature to be between 39°C and 42°C?
Answer:
The value is \(E(X) = 4 \ days\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 36^oC\)
The standard deviation \(\sigma = 3^oC\)
Generally the probability that in June , the midday temperature is between
39°C and 42°C is mathematically represented as
\(P(39 < X < 42) = P(\frac{39 - 36}{3} < \frac{X - \mu }{\sigma} < (\frac{42 - 36}{3} )\)
\(\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )\)
\(P(39 < X < 42) = P(1 < Z <2 )\)
=> \(P(39 < X < 42) = P(Z < 2) - P( Z <1 )\)
From the z table the area under the normal curve to the left corresponding to 1 and 2 is
P(Z < 2) = 0.97725
and
P(Z < 1) = 0.84134
\(P(39 < X < 42) = 0.97725 - 0.84134\)
=> \(P(39 < X < 42) = 0.13591\)
Generally number of days in June would you expect the midday temperature to be between 39°C and 42°C
\(E(X) = n * P(39 < X 42 )\)
Here n is the number of days in June which is n = 30
\(E(X) = 30 * 0.13591\)
=> \(E(X) = 4 \ days\)
Which coordinate is a zero of the function defined by 3x^2 – 15x – 18?
Answer:
\(3 {x}^{2} - 15x - 18 = 0\)
\( {x}^{2} - 5x - 6 = 0\)
\((x + 1)(x - 6) = 0\)
x = -1 or x = 6
The coordinates of the zeroes are (-1, 0) and (6, 0).
Martha’s clubhouse is shaped like
a square pyramid with four congruent equilateral triangles for its sides. All of the edges are 6 feet
long. What is the total surface area of the clubhouse including the floor? Round your answer to the nearest hundredth.
A=
The total surface area of the clubhouse including the floor is approximately 95.98 square feet.
We have,
The surface area of a square pyramid can be found by adding the area of the base to the sum of the areas of the four triangular faces.
Since the base is a square, its area is 6^2 = 36 square feet.
Each triangular face is an equilateral triangle with a side length of 6 feet, so its area can be found using the formula.
A = (√(3)/4) x s²,
where s is the length of a side.
The area of each triangular face.
A = (√(3)/4) x 6² = 9 √(3) square feet.
The total surface area is then:
A = 4 x 9 √(3) + 36
A = 36 √(3) + 36 ≈ 95.98 square feet
(rounded to the nearest hundredth)
Therefore,
The total surface area of the clubhouse including the floor is approximately 95.98 square feet.
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Question 3 of 42
What is the y-intercept of the line y= { x-5?
y
O A. Ž
B. 5
C. - 1
D. -5
SUBMIT
Answer:
~Male Y/n here~ I believe your y-intercept would be D. -5.
(Hope this helps!)
solve x^2-12x+36=44 by factoring!!
please help asap with work shown :)
x^2 - 12x + 36 is a perfect square trinomial and can be written as (x-6)(x-6).
(x - 6)^2 = 44.
Take the square root of both sides to get...
x - 6 = ±√44 (Always make the square root + or - when you square root)
Add 6 to both sides...
x = √44 + 6
x = -√44 + 6
These are the 2 values of x.
You can also write it to be -0.633 and 12.633. (Once you round.)
What is the volume of the right rectangular prism?
5 m
10 m
5 m
75 m 3
125 m
3
200 m 3
3
250 m
Answer: 250m 3
Step-by-step explanation:
The base multiplied is 50m and the height is 5m, so, 50 x 5 = 250.
The whole question though, is just multiplication.
10m x 5m = 50m
50m x 5m = 250m
Also, since there are 3 different numbers in this problem, the metric unit would be typed as "m 3"
Your answer would be 250m 3
c^2cos^2 B+ b^2cos^2 C + bc cos (B - C) = 1/2(a^2+b^2+ c^2)
Answer:
n
me vale
Step-by-step explanation:
spanish hgjddjzfurdoydoydotroyd6odo6eoyeoydtodyodo6do55od5od5odo5dtodtofpydypff6
XD
In a library, the ratio of maths books to science books is 3 : 2 and the ratio of science books to history books is 1 : 3. If the total number of books is 220, how many maths books are there?
Answer:
60 maths books
Step-by-step explanation:
Let the following be:
Maths books = mScience books = sHistory books = hAnd we have ratios and sum:
m/s = 3/2s/h = 1/3m+s+h = 220From the ratios we get:
m = 3s/2h= 3sConsidering the above in the sum of books:
m+s+h = 2203s/2 + s + 3s = 2203s + 2s + 6s = 2*22011s = 440s = 440/11s = 40Number of maths books:
m = 3s/2 = 3*40/2 = 60Find the value of c such that the three points (5,5), (-3,1), and (6,c) lie on the same line. Note: Three points are on the same line if the slope of the line through any two points is always the same.
Answer:
c = 5.5
Step-by-step explanation:
We can find the slope of the line using the given points (5,5) and (-3,1) using rise over run:
-4/-8 = 1/2
Now, we can plug in the slope and a point into the equation y = mx + b to find b:
5 = 1/2(5) + b
5 = 2.5 + b
2.5 = b
Then, we can plug in 6 in the point (6,c) to find c:
y = (1/2)(6) + 2.5
y = 3 + 2.5
y = 5.5
c = 5.5
Answer:
c = 5.5
Step-by-step explanation:
Find the slope with two points
m = (y2-y1)/(x2-x1)
m = (1-5)/(-3-5)
= -4/-8
= 1/2
If all the points are on the same line, then they have the same slope
m = (y2-y1)/(x2-x1)
Using the first and third points
1/2 = (c-5)/(6-5)
1/2 = (c-5)/1
1/2 = c-5
Add 5 to each side
5+1/2 = c
5.5 =c
3+p=6p+3 what is p.
\(p = 0\)
hope it helps
Answer:
p = 0
Explanation:
3 + p = 6p + 3.
Subtract 3 from both sides.
3 - 3 + p = 6p + 3 - 3.
p = 6p.
Subtract 6p from both sides.
-5p = 0.
Divide -5 from both sides.
-5p / -5 = 0/-5.
p = 0/-5.
0 divided by any number is 0.
so we are left with:
p = 0.
I hope this helps. have a great day.
Help plssssss I need ya help
Given:
A figure.
To find:
The angle number which is supplementary to ∠OKL.
Solution:
The angles which lie on the same side of a straight line and their sum is 180 degrees, then they are called supplementary angles.
From the given figure it is clear that ∠OKL is lies on the intersection point K of lines OJ and GL.
\(\angle OKL=\angle 12\)
Angle 11 and angle 12 lie on the same side of the straight line GL.
So, angle 11 and angle 12 are supplementary angles.
Therefore, angle 11 is supplementary to ∠OKL.
At one college, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. Find the 70th percentile.
The GPA corresponding to the 70th percentile at the college is approximately 3.246 based on standard deviation.
We can use the conventional normal distribution table or a calculator with a normal distribution function to determine the 70th percentile of GPAs at a college, which are normally distributed with a mean of 2.9 and a standard deviation of 0.6.
The inverse normal distribution function with a mean of 2.9, a standard deviation of 0.6, and a percentile of 70 can be used on a calculator. This results in:
\(3.246 for invNorm(0.7, 2.9, 0.6).\)
As a result, the GPA that represents the 70th percentile is roughly 3.246.
We can determine the z-score corresponding to the 70th percentile, which is 0.5244, by using a common normal distribution table. Thus, we may apply the equation z = (x - ) /, where x is the GPA that corresponds to the 70%ile, is the mean, and is the standard deviation, and all three variables have values of 2.9. After finding x, we obtain:
0.5244 = (x - 2.9) / 0.6
x = 3.246
Once more, doing so yields the same outcome as using a calculator.
In conclusion, the GPA at the college that represents the 70th percentile is roughly 3.246.
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17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find
the radius of the base of the cone
Answer:
\(r = 3.74cm\)
Step-by-step explanation:
Given
Hemisphere
\(Radius = 7cm\)
Cone
\(Height = 49m\)
Required
Determine the radius of the cone
First, we calculate the volume (V1) of the hemisphere.
\(V_1 = \frac{2}{3}\pi r^3\)
Substitute 7 for r
\(V_1 = \frac{2}{3}\pi * 7^3\)
\(V_1 = \frac{2}{3}\pi * 343\)
\(V_1 = \frac{686}{3}\pi\)
Volume (V2) of a cone is:
\(V_2 = \frac{1}{3}\pi r^2h\)
Because the lead is cast into a cone, then they have the same volume.
So, we have:
\(\frac{686}{3}\pi = \frac{1}{3}\pi r^2h\)
\(686 = r^2h\)
Substitute 49 for h
\(686 = r^2 * 49\)
Divide both sides by 49
\(r^2 = \frac{686}{49}\)
\(r^2 = 14\)
\(r = \sqrt{14\)
\(r = 3.74cm\)
Hence, the radius of the cone is 3.74cm
If carpet costs $4 per square yard, how much would it cost
to carpet a rectangular room that is 6 yards wide and 10
yards long?
Answer:
A=l•w
A=6•10
A=60 yards square
1 yr sq 4$
60 yr sq x$
x=60•4/1
x=240 $
It would cost 240$ to carpet the room
Step-by-step explanation:
What is the slope of the following line?
Answer:c, the answer is c
Step-by-step explanation: