Answer:
Let w = the width
Let 4w - 9 = the length
P = 2l + 2w
582 = 2(4w - 9) + 2w
582 = 8w - 18 + 2w
582 = 10w - 18
600 = 10w
60 yards = w
4w - 9 = 4(60) - 9 = 231 yards
Step-by-step explanation:
yes
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2. 5 inches, what is the z score of a 3rd grader who is 47 inches tall?.
Z score of a 3rd grader who is 47 inches tall with mean of 52 inches and standard deviation of 2.5 inches is 2
Z- Score give an idea how far a data point is from mean .
z = x- μ / σ where numerator is difference between the random variable and the actual mean dividing by the standard deviation .
Given , x = 47 inches
standard deviation = 2.5 inches
mean = 52 inches
z-score = x- μ / σ
putting all the values ,
z-score = 47 - 52 / 2.5
= -5 / 2.5
= -2
|Z| = 2
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help me please i have 2 more after this
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent
y= -2(x-9)(x+7) can you put this into standard form
Answer:
y= -2x^2+4x+126
Step-by-step explanation:
Divya is solving the following equation for w. 3w -√20-5w = 2 Her first few steps are given below. 3w = √20-5w+2 3w-2= √/20 - 5w (3w - 2)² =(√20 – 5w) 9w² - 12w + 4 = 20 - 5w Is it necessary for Divya to check her answers for extraneous solutions?
Divya should not check her answers for extraneous solution as it's not required in this case.
What is an extraneous solution?It should be noted that an extraneous solution simply means is the transformed equation that's isn't the root of the original equation.
Based on the information given, Divya had already solved the equation and it's not necessary to check the answers for extraneous solution.
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Answer:
No, she shouldn't.
Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2
Answer:
x^2 + 7/2 + 15 is the answer.
Step-by-step explanation:
Make the number that is equal to x be on the side of the x, then multiply those to values.
x = -6
x= 5/2
(x + 6)*(x - 5/2)
Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.
\(x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15\)
#teamtrees #WAP (Water And Plant)
In the year 2005, a picture supposedly painted by a famous artist some time after 1715 but before 1765 contains 95.4 percent of its carbon-14 (half-life 5730 years).
From this information, could this picture have been painted by this artist?
Approximately how old is the painting? _______ years
Approximately, the age of the painting is 400.59 years using carbon-14 dating. However, this negative value indicates that the painting is not from the specified time period, suggesting an inconsistency or potential error in the data or analysis.
Based on the information provided, we can use the concept of carbon-14 dating to determine if the painting could have been created by the artist in question and estimate its age.
Carbon-14 is a radioactive isotope that undergoes radioactive decay over time with a half-life of 5730 years. By comparing the amount of carbon-14 remaining in a sample to its initial amount, we can estimate its age.
The fact that the painting contains 95.4 percent of its carbon-14 suggests that 4.6 percent of the carbon-14 has decayed. To determine the age of the painting, we can calculate the number of half-lives that would result in 4.6 percent decay.
Let's denote the number of half-lives as "n." Using the formula for exponential decay, we have:
0.954 = (1/2)^n
To solve for "n," we take the logarithm (base 2) of both sides:
log2(0.954) = n * log2(1/2)
n ≈ log2(0.954) / log2(1/2)
n ≈ 0.0703 / (-1)
n ≈ -0.0703
Since the number of half-lives cannot be negative, we can conclude that the painting could not have been created by the artist in question.
Additionally, we can estimate the age of the painting by multiplying the number of half-lives by the half-life of carbon-14:
Age of the painting ≈ n * half-life of carbon-14
≈ -0.0703 * 5730 years
≈ -400.59 years
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Find the value of x.
Answer:
X=24
Step-by-step explanation:
(X+16)°+6x=180°(being co-interior angle)
7x=180-16
X=164÷7
X=23.428
X=23
or,
(3x-1)+5x=180(being co-interior angle)
8x=181
X=181÷8
X=22.625=23
Which of the following statements is INCORRECT regarding the disadvantages of simulation?
a. The summary of the simulation data only provides estimates about the real system.
b. The process of developing a simulation model of a complex system can be time-consuming.
c. The larger the number of probabilistic inputs a system has, the less likely a simulation will provide the best approach for studying the system.
d. Each simulation run only provides a sample of how t
he real system will operate.
(d.) Each run of the simulation only provides a sample of the actual system's operation.
This assertion is right, not mistaken. Indeed, each simulation run is a sample of the actual system's operation. A single simulation run cannot account for all possible outcomes and variations in the real system because simulations are based on mathematical models and involve random variations.
In order to take into consideration various scenarios and variations, multiple simulation runs are typically carried out. By running numerous reenactments, specialists can assemble a scope of results and measurable data to acquire a superior comprehension of the framework's way of behaving and go with informed choices.
The analysis and confidence in the simulation study's conclusions increase with the number of simulation runs performed.
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If the coefficients of the third and the thirteenth terms in the expansion of (r + s)ⁿ are equal, find the middle term.
\((r + s)^n\)
The middle term in the expansion of (r + s)ⁿ depends on the value of n and whether it is odd or even.
What is the Binomial Theorem?The binomial theorem is described as an algebraic method for expanding any binomial of the form (a+b)ⁿ without the need to expand all n brackets individually.
The coefficients of the third and thirteenth terms in the expansion of (r + s)ⁿ are given by the binomial coefficients C(n, 2) and C(n, 6), respectively.
Since the two coefficients are equal, we can write:
C(n, 2) = C(n, 6)
If we solve for k:
k = n - (n - k) = n - (n - 2) = 2
So the middle term in the expansion is given by the coefficient C(n, (n - 1)/2) if n is odd.
But in the scenario n is even, we have two middle terms with coefficient C(n, n/2) and C(n, n/2 - 1).
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Decide whether each point is a solution to the
system.
y≤3x+4 and y <3x-2
All the points are the solution of the given inequalities except y < 3x-2 at ( 3, 13).
What is inequality?inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
We will check all the points for the given inequality as follows:-
Point Y ≤ 3x - 2 y ≤ 3x + 4
( 0,-2) -2 ≤ 3 ( 0) -2 -2 ≤ 0+4
-2 ≤ -2 -2 ≤ 4
Correct Correct
( 5, 0 ) 0 ≤ ( 5 x3 ) -2 0 ≤ ( 5 x 3 ) + 4
0 ≤ 13 0 ≤ 19
Correct Correct
( 3, 13 ) 13 ≤ ( 3 x 3 ) -2 13 ≤ ( 3x3) + 4
13 ≤ 7 13 ≤ 13
Incorrect Correct
As we can see the given points satisfy all the given inequalities but points ( 3, 13 ) are not satisfying the inequality y ≤ 3x - 2 it is giving 13 ≤ 7 here 13 is not less than 7.
Therefore the points are the solution of the given inequalities except for y < 3x-2 at ( 3, 13).
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When using Synthetic Division, you can tell if something is a factor if...
1 it has a remainder of over 100.
2. it has a negative remainder.
3.. it has a remainder of zero.
Which of the following is a geometric sequence?
A:0, 2, 6, 12, 72, . . .
B:1/2,2/3,3/4,4/5,5/6
C:4, 9, 14, 19, 24, . . .
D:1, 3, 9, 27, 81, . . .
Answer:
D
Step-by-step explanation:
to find the next term multiply by 3
When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
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Calculate volume of hemisphere with radius 3.2 cm
The volume, V, of a sphere with radius r is V = [4/3 pi r^3]
Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = \(\frac{4}{3}\)πr³
the volume of a hemisphere is half the volume of a sphere, so
V = \(\frac{1}{2}\) × \(\frac{4}{3}\) πr³ = \(\frac{2}{3}\) πr³ , then
V = \(\frac{2}{3}\) π × 3.2³
= \(\frac{2}{3}\) π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )
She will be running while her other team members swim and bike.Hannah will see a direction marker every five hundred meters during the race. There will be drinks stations set up every seven hundred meters. What is the shortest distance Hannah will have to run to see both a drink station and direction marker at the same location?
The shortest distance Hannah will have to run to see both a drink station and direction marker at the same location is 3500 meters.
What is the LCM?The least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.
Given:
She will be running while her other team members swim and bike.
Hannah will see a direction marker every five hundred meters during the race.
There will be drinks stations set up every seven hundred meters.
The shortest distance Hannah will have to run to see both a drink station and direction marker at the same location is,
= LCM of 500 and 700
= 3500 meters.
Therefore, the distance is 3500 meters.
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Find the new price of the item below.
Cost of a car: $57,000.00
Tax: 5%
Answer:
59,850
Step-by-step explanation:
cost: 57,000
what is 5%?
57,000 * .05 = 2,850
so, add the cost and tax together
57,000 + 2850 = 59,850
The sum of the numerator and denominator of a
fraction is 12. If the denominator is increased by 3,
the fraction becomes 1/2.
Find the fraction.
plz answer step by step
\(x+y=12\\\dfrac{x}{y+3}=\dfrac{1}{2}\\\\x=12-y\\2x=y+3\\\\2(12-y)=y+3\\24-2y=y+3\\3y=21\\y=7\\\\x=12-7=5\\\\\dfrac{x}{y}=\dfrac{5}{7}\)
True or False: Only like terms can be combined. A True B False
Answer:
True
Step-by-step explanation:
Like terms like 4x-3x the x term. is a like term
6-4x can be subtracted because they aren't the same.
High Hopes^^
Barry-
Answer:
i believe this false but im not positive
Jim sleep 3 hours and snored 1/3 of hours how many hours did he snore
Answer:
1/3 means 1 out of 3 so that means that lets say hours they would do something 1 out of 3 hours so he would snore 1 hour
1 hour
Hope This Helps!!!
I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
change the negative to not domain and the zero to in domain
Step-by-step explanation
The measure of an angle is nine times the measure of its complementary angle. What is the measure of each angle?
Will give 15 points plus Brainliest if your answer is correct!
Answer:
Step-by-step explanation:
90 is a complementry
90*9=810 degree.
solve using quadratic formula x^2-5x+4=0
Answer: x = 4,1
Step-by-step explanation:
Answer:
x = 4 or x = 1
Step-by-step explanation:
x² - 5x + 4 = 0
⇒ x² - 4x - x + 4 = 0
⇒ x (x - 4) - 1 (x - 4) = 0
⇒(x - 4)(x - 1) = 0
Therefore,
x - 4 = 0
⇒ x = 4
Again.
x - 1 = 0
⇒ x = 1
Hence, x = 4 or x = 1 :)
Perform the indicated operations. Write the answer in standard form, a+bi.
6(-8-9i)+8i(-9-8i) =
Step-by-step explanation:
\(thank \: you\)
Please Help Me Answer These Question
Need Help With Question 2 And 3
Answer:
2. 9
Step-by-step explanation:
Plug in 20 for the perimeter the, subtract 2 which gets you 18 and divide by 2 and you get 9
Pls help, mathmatics 50 points
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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Hint 1 Hint 2 Hint 3 Estimate the proportion of all U.S. adolescents ages 10-14 who started smoking because of seeing actors smoke in movies by constructing a 95% confidence interval. (0.368, 0.392) (0.266, 0.494) (0.38, 0.543)
The proportion of all U.S. adolescents ages 10-14 who started smoking because of seeing actors smoke in movies by constructing a 95% confidence interval is (0.368, 0.392). So, the correct option is A).
Proportion of all U.S. adolescents aged 10-14 who started smoking due to seeing actors smoke in movies by constructing a 95% confidence interval.
The sample size of the study is 6,522, and of those who subsequently tried smoking for the first time, 38% did so because of exposure to smoking in the movies.
To construct a confidence interval, we need to use the sample proportion of 0.38 and calculate the standard error of the proportion:
SE = sqrt[(p*(1-p))/n]
SE = sqrt[(0.38*(1-0.38))/6522]
SE = 0.007
Next, we can use a z-score of 1.96 for a 95% confidence interval and plug in the values:
CI = p +/- zSE
CI = 0.38 +/- 1.960.007
CI = (0.366, 0.394)
Therefore, the 95% confidence interval for the proportion of all U.S. adolescents aged 10-14 who started smoking is (0.366, 0.394). So, the correct answer is A).
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_____The given question is incomplete, the complete question is given below:
Learn By Doing Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in movies and smoking initiation among adolescents. In the study, 6,522 U.S. adolescents ages 10-14 who had never tried smoking were randomly selected. Of those who subsequently tried smoking for the first time, 38% did so because of exposure to smoking in the movies. ? Learn By Doing A Hint 1 Hint 2 Hint 3 Estimate the proportion of all U.S. adolescents ages 10-14 who started smoking because of seeing actors smoke in movies by constructing a 95% confidence interval. (0.368, 0.392) (0.266, 0.494) (0.38, 0.543).
Assume you have a normal distribution with a mean of 65 and a standard deviation of 13. Find the Z-Score of 72, rounding your answer to the nearest HUNDREDTH.
STEP - BY - STEP EXPLANATION
What to find?
The z- score of 72
Given:
mean (μ) = 65
standard deviation (σ) = 13
x = 72
Step 1
Recall the z- score formula.
\(z=\frac{x-\mu}{\sigma}\)Step 2
Substitute the values into the formula and simplify.
\(Z=\frac{72-65}{13}\)\(=0.54\)ANSWER
0.54
A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
a.show that it’s height h cm is given by h =300- pi r /pi r
Answer:
Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π\(r^{2}\) )/πr to be the equation for height.
Step-by-step explanation:
The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π\(r^{2}\), for a total of 2π\(r^{2}\). The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.
The total surace area of a closed cylinder is therefore 2π\(r^{2}\) + 2πrh.
2π\(r^{2}\) + 2πrh = 600
π\(r^{2}\) + πrh = 300
πrh = 300 - π\(r^{2}\)
h = (300 - π\(r^{2}\) )/πr
a bank account earns 0.06% annual interest compounded monthly the bank B of the account after T months started with the $250 is given by the equation B =250(1.06)^t. How long will it take to triple the balance of the account?
It will take about 387.3 months (or about 32.3 years) to triple the balance of the account.
What is Compound Interest ?
Compound interest refers to the process of earning interest on both the initial principal amount as well as any accumulated interest from previous periods. In other words, it is the interest that is earned on the interest that has been accumulated over time.
We can use the formula for compound interest to solve this problem.
Where:
A = the final amount
P = the initial amount
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time (in years)
In this problem, we have:
P = $250
r = 0.06% = 0.0006 (as a decimal)
n = 12 (since the interest is compounded monthly)
A = 3P = $750
Substituting these values into the formula, we get:
750 = 250\((1 + 0.0006/12) ^{12t}\)
Dividing both sides by 250, we get:
3 =\((1 + 0.0006/12) ^{12t}\)
Taking the natural logarithm of both sides, we get:
㏒(3) = 12t ㏒(1 + 0.0006÷12)
Solving for t, we get:
t = ㏒(3)/(12 ㏒(1 + 0.0006÷12))
Plugging this into a calculator, we get:
t ≈ 387.3 months
Therefore, it will take about 387.3 months (or about 32.3 years) to triple the balance of the account.
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WILL MARK BRAINLIEST
Answer:
26
Step-by-step explanation:
3³ is basically 3×3×3 which equals to 27
1² is 1×1 which obviously is 1 lol
so,
27 - 1
= 26
Answer: 3*3*3 - 1*1 = 26
Step-by-step explanation: