Answer:
it's B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
its B
A regular hexagon is circumscribed about a circle with a radius of 15 feet. Find the area of the shaded region shown.
Answer:
Calculating from a Regular Hexagon with a Given Apothem. Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem.
Step-by-step explanation:
Can anyone help me pls????????
Answer its quite easy i hope this will be right
1) 4.1833
2) 5.29+2.366=7.656
The meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 12.2 degrees over the next six and one fourth hours. How much did the temperature drop each hour?
19.52 degrees
18.45 degrees
5.95 degrees
1.952 degrees
HELP
Answer:
Step-by-step explanation:
a quality-control inspector examined 290 iphones and found 9 of them to be defective. at this rate, how many defective iphones will there be in a batch of 16,530 iphones?
The total number of defective iphones from a batch of 16,530 iphones is equal to 513 .
Total number of iphones examined by quality-control inspector =290
Total number of iphones in a batch = 16,530
Number of iphones defective out of 290 = 9
Let us consider x be the number of defective iPhones in the batch of 16,530 iPhones.
Use proportions to find out how many defective iPhones there will be in a batch of 16,530 iPhones.
The proportion of defective iPhones in the sample of 290 iPhones is,
= 9/290
Proportion of defective iPhones in a batch of 16,530 iPhones,
Set up a proportion,
9/290 = x/16530
To solve for x, we can cross-multiply,
⇒ 9 x 16530 = 290 x
⇒ 148,770 = 290 x
⇒ x = 513
Therefore, there will be approximately 513 defective iPhones in a batch of 16,530 iPhones.
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There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?
Answer:
9
Step-by-step explanation:
25 times .36 is 9!
I hope this helps!
Answer:
36% x 25= 9
9 students ate hotdogs
Step-by-step explanation:
just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25
An item has a listed price of $35. If the sales tax rate is 7%, how much is the sales tax (in dollars)?
Answer: the sales tax is 2.45
Step-by-step explanation:
the sales tax are 35 * 7/100=2.45
A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing 12$ is displayed by the store manager at a selling price of 8$. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
please help me in really stuck you would be a huge help
Answer:
Step-by-step explanation:
12$ = original price (need to add 67% mark up)
12/100 = 0.12 = 1%
0.12 x 67 = $8.04 markup
12 + 8.04 = $20.04 is the correct selling price
the error was accidently not adding the markup ($8.04) to the original price
A plane travels at a speed of 160 mph in still air. Flying with a tailwind, the plane is clocked over a distance of 550 miles. Flying against a headwind, it takes 2 hourslonger to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)AnswerKeypad
ANSWER
The wind velocity is 43.2 miles
EXPLANATION
Given information
The total distance covered by the plane when flying with a tailwind is 550 miles
The total time = 2 hours
Let w represents the velocity of the wind
The speed with the wind = (160 + w)
The speed against the wind = (160 - w)
To find the wind velocity, follow the steps below
Step 1: Write the formula for writing distance
\(\text{ Speed = }\frac{distance\text{ }}{time}\)Step 2: Find the time for the plane to travel with the wind
\(\begin{gathered} \text{ speed = }\frac{\text{ distance}}{time} \\ cross\text{ multiply} \\ distance\text{ = speed }\times\text{ time} \\ time\text{ = }\frac{distance}{speed} \\ time\text{ = }\frac{550}{(160\text{ + w\rparen}} \\ Hence,\text{ the time required for the plane to travel with wind is }\frac{550}{(160+\text{ w\rparen}} \end{gathered}\)Step 3: Find the time for the plane to travel against the wind
\(\begin{gathered} \text{ speed = }\frac{distance}{time} \\ cross\text{ multiply} \\ distance\text{ = speed }\times time \\ time\text{ = }\frac{distance\text{ }}{speed} \\ time\text{ = }\frac{550}{(160-\text{ w\rparen}} \end{gathered}\)Recall, that the total time is time against - time with
\(Time\text{ = Time against - time with}\)Step 4:Substiute the value got in steps 2 and 3 into the formula in step 4
\(2\text{ = }\frac{550}{(160\text{ - w\rparen}}\text{ - }\frac{550}{(160+\text{ w\rparen}}\)Step 5: Simplify the above expression
\(\begin{gathered} The\text{ common denominator = \lparen160 - w\rparen \lparen160 + w\rparen} \\ 2\text{ = }\frac{(160\text{ + w \rparen}\times550\text{ - \lparen160 - w\rparen}\times550}{(160-\text{ w\rparen\lparen160 + w\rparen}} \\ open\text{ the parentheses} \\ 2\text{ = }\frac{88000\text{ + 550w - 88000+ 550w}}{25600\text{ + 160w - 160w - w}^2} \\ collect\text{ the like terms} \\ 2\text{ = }\frac{88000\text{ - 88000 + 550w - 150 w}}{25600\text{ - w}^2} \\ 2=\text{ }\frac{1100w}{25600\text{ - w}^2} \\ cross\text{ multiply} \\ 1100w\text{ = 2\lparen25600 - w}^2) \\ 1100w\text{= 51200 - 2w}^2 \\ 1100w\text{ - 51200 + 2w}^2 \\ 2w^2\text{ +1100w -51200} \\ \end{gathered}\)Step 6: Simplify the quadratic function using the general formula
\(\begin{gathered} 2w^2\text{ - 51200 +1100w} \\ \text{ Using, }\frac{-b\pm\sqrt{b^2\text{ - 4ac}}}{2a} \\ a\text{ = 2, b = 1100 c = -51200} \\ w\text{ = }\frac{-(1100)\pm\text{ }\sqrt{(1100^2\text{ - 4\lparen2 }\times\text{ -51200\rparen}}}{2\times2} \\ w\text{ = }\frac{-1100\pm\sqrt{1210000\text{ + 409600}}}{4} \\ w\text{ = }\frac{-1100\pm\sqrt{1619600}}{4} \\ w\text{ = }\frac{-1100\pm1272.635}{4} \\ \text{w = }\frac{-1100\text{ + 1272.635}}{4} \\ w\text{ = }\frac{172.635}{4} \\ w\text{ = 43.2 mile} \end{gathered}\)Hence, the wind velocity is 43.2 miles
help pls im in need!!
Answer:
x=-23
Step-by-step explanation:
-0.48x+0.28=4.6
-0.2x=4.6
x=-23
Answer:
it’s -0.2x =4.6
Step-by-step explanation:
X = -23 is the answer for the equation but
your asking for what the number is before the x right
it’s -0.2x =4.6
than multiple both sides by 10
divide both sides by -2
simplify
X=-23
A cylinder has base radius 4 feet and height 8.5 feet. Find its volume.
simplify the expression (5.8f - 3g + g)-(7f - 2.5g)
(5.8f - 3g + g) - (7f - 2.5g)
(5.8f - 4g) - (7f - 2.5g)
2.8f - 2.5g
Answer:
2.8f - 2.5g
Factor the expression completely. Show al
your work.
6x² +15x-36 )
The complete factorization of the quadratic equation 6x² + 15x - 36 is given by:
How to factor a quadratic equation?
A quadratic equation is modeled by:
Considering the roots and , it can be factored as:
In this problem, the function is:
Hence the coefficients are , and:
Hence:
Answer:
Step-by-step explanation:
Answer:
To factor the expression 6x² + 15x - 36 = 0, we can use the technique of factoring by grouping.
First we will write the expression as two binomials:
6x² + 15x - 36 = (6x² + 18x) - (3x + 36) = 0
Next we will factor out the greatest common factor (GCF) of the first binomial:
6x² + 18x = 3x(2x + 6)
Next we will factor out the GCF of the second binomial:
3x + 36 = 3x(1 + 12)
Bring the factors out of the parentheses:
3x(2x + 6) - 3x(1 + 12) = 3x(2x-1+6-12) = 3x(2x-6) = 0
So the expression is factored completely as 3x(2x-6) = 0.
We can see that the factors of the expression 6x² + 15x - 36 = 0 are 3x and (2x-6)
Kat plays a surfing video game with a friend. Each player earns 50 points for each trick he performs, but loses 40 points each time he falls off the surfboard. Last week, Kat had 6 stunts and 9 falls. Her score from her today was 3 times her score from last week. What was Kat's score today. What would be different about Kat's score today if it were –3 times her score from last week? What would be the same? Explain your reasoning.
Step-by-step explanation:
No. of points got from 1 stunt = 50.
No. of points deducted from 1 fail = 40.
6 stunts and 9 falls were gained last week.
So, A/C the number of points earned =
(6×50)-(9×40)
= 300 - 360
= -60
Her score today is 3 times her score from last week so multiply by 3
= (-60) × 3
= -180
If it were multiplied by -3 instead of 3 it would be...
(-60) × (-3)
= 180
The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.
The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.
PLEASE HELP ME!!!
Trevor asks his bank for a loan of $22000 to add a guest
room to his house. His bank offers financing at 7.25%
compounded monthly, for a term of 5 years, payable
monthly. What is Trevor's monthly payment?
Answer:
$526.3 is the monthly payment
Step-by-step explanation:
We use the compound interest formula to calculate the total amount payable on the loan.
Mathematically;
A = P(1 + r/n)^nt
Where A is the amount to pay
P is amount borrowed = 22,000
r is interest rate = 7.25/100 = 0.0725
t is years = 5 years
n is the number of times we compound lee year = 12 times since it’s monthly
Substituting these values, we have
A = 22,000(1 + 0.0725/12)^(12)(5)
A = 22,000(1 + 0.006041666666667)^60
A = $31,578
Monthly payment is total amount/ number of months
There are sixty months in 5 years
So monthly payment is 31578/60 = $526.3
if the maximum value of the function y=cos x/sin x is at x = pi/4 , what is the value of m?
The maximum value of the function y=cos x/sin x at x = pi/4 is 1, so the value of m is 1.
The maximum value of the function y=cos x/sin x is when the cos x and sin x terms have the same magnitude. This happens when x=pi/4. In this case, the function reduces to y=cos(pi/4)/sin(pi/4) = 1.
Therefore, the value of m = 1.
The maximum value of the function y=cos x/sin x at x = pi/4 is 1, so the value of m is 1.
The function y=cos x/sin x has a maximum value of 1 when x = pi/4. This is because when x = pi/4, the cos x and sin x terms have the same magnitude, and the function reduces to y=cos(pi/4)/sin(pi/4) = 1. Therefore, the maximum value of the function y=cos x/sin x is 1, and the value of m is 1. This result holds true for any value of x, and is a useful tool when working with trigonometric functions.
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Favorite days of the week Monday 55% Tuesday 45% 4) If 220 people were surveyed, how many more people voted for Monday than for Tuesday?
Answer: 22
Step-by-step explanation:
Ok, so the way I do it I multiply then divide.
For Monday I did: ?/220=55/100. what you would do is multiply across then divide by the other number, so 220x55 which is 12100 then you will divide it by 100. So 121 people voted on Monday
For Tuesday: Using the same method. ?/220=45/100 you will multiply 45x220 giving you 9900 then you will divide by 100 giving you 99. 99 people voted on Tuesday.
So to find the DIFFERENCE you need to subtract, so 121-99 leaving you with 22. Also, if you are confused how on where I got 100 from you put the percentage over 100, because percentages go from 0%-100% so you put the partial percentage over the maximum (100)
An atom has a diameter of 2.00 Å and the nucleus of that atom has a diameter of 9.50×10−5 Å . Determine the fraction of the volume of the atom that is taken up by the nucleus. Assume the atom and the nucleus are a sphere.
fraction of the volume of the atom taken by nucleus = 1.07*10^-13
Space occupied by the sphere is the volume of sphere.
A straight line passing from side to side through the center of the body especially a circle or sphere is known as diameter.
Volume of sphere = 4/3πr³
Diameter of an Atom = 2.00Â
Diameter of an nucleus = 9.50×10⁻⁵Â
Radius of an Atom = 1.00Â
\(\frac{4}{3}\pi r^3=\frac{4}{3}\pi (4.75*10^(-5))^3\\\)
Volume of an Atom = \(\frac{4}{3}\pi r^3= \frac{4}{3}\pi 1^3=\frac{4}{3}\pi\)
Volume of nucleus = \(\frac{4}{3} \pi r^3=\frac{4}{3} \pi (4.75*10^-5)^3\\=\frac{4}{3} \pi 107.1718*10^-15\)
fraction of the volume of the atom taken by nucleus =
4/3π 107.17*10^-15/ 4/3π =107.17*10^-15 = 1.07 *10^-13
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Given y1(t) = t^2 is a solution to: t^2y'' - 4ty' + 6y = 0, t > 0 find another solution using the method of reduction of order.
For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.
Given solution to t²y'' - 4ty' + 6y = 0 is
y₁(t) = t²
Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,
y₂ = vt²
y₂' = 2vt + t²v'
y₂'' = 2v + 2tv' + 2tv' + t²v''
y₂'' = 2v + 4tv' + t²v''
Substituting this
t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0
t⁴v'' = 0
v'' = 0
v' = c, c is a constant
v = ct
Therefore, y₂(t) = ct×t²
y₂ (t) = ct³
Therefore general solution will be y(t) = c₁t² + c₂t³
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x^2y^4/z^3 / x^3z^2/y
Answer: y3/xz
Step by step is provided in the screenshot below
in the diagram the measure of angle one is 3X the measure of angle two is 12 X what is the measure of angle 4
Answer:
144°
Step-by-step explanation:
m<1 =3x
m< 2= 12x
1&2 are supplementary angles, so
3x+12x= 180
15x=180
x= 12°
measure of angle 4 equals the measure of angle 2
because they're head opposite angles
m<4= 144°
Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!
The volume = LBH = x²y
.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.
The volume of Pyramid = 1/3*x²y
h = 3 *1/3x²y/x²
h = 3*1/3x²y*1/x²
h = 3*1/3y
h= yjennifer has three more dimes than nickels and three times as many quarters as nickels. if she has $7.50, how many quarters does she have? www.wyzant
Jennifer has 48 nickels, which means she has 144 quarters.
Let's call the number of nickels Jennifer has "n".
Since Jennifer has three more dimes than nickels, she has n + 3 dimes.
And since she has three times as many quarters as nickels, she has 3n quarters.
We can start by figuring out the total value of the nickels and dimes in terms of cents:
n * 5 cents + (n + 3) * 10 cents = 750 cents
Expanding the right side of the equation and solving for n:
5n + 10n + 30 cents = 750 cents
15n + 30 cents = 750 cents
15n = 720 cents
n = 48
So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.
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A recent newspaper article claims that the mean
number of screens per household is greater than
7. A random sample of 92 households had a
sample mean of 9.6 screens. Assume that the
population standard deviation is known to be 1.84
screens. For this question, you are required to give
your answer in two parts a) and b):
a) Enter 3 if Z or 7 ift. Please note, that the values
in part a) have no further use in this question.
b) Give the value of the calculated test statistic.
Please give your final answer correctly rounded to
two decimal places. Work to a minimum of 4
decimal places throughout your calculation.
The calculated test statistic is -13.04, indicating a significant difference between the sample mean and the hypothesized population mean. And 7 for part A.
To test the claim that the mean number of screens per household is greater than 7, we can conduct a one-sample z-test.
Given that the sample mean is 9.6, the population standard deviation is 1.84, and the sample size is 92, we can calculate the test statistic using the formula:
Test Statistic = (Sample Mean - Population Mean) / (Population Standard Deviation / sqrt(Sample Size))
Substituting the given values, we get:
Test Statistic = (9.6 - 7) / (1.84 / sqrt(92)) = 13.04
Since the claim states that the mean is greater than 7, we are conducting a one-tailed test. The test statistic is negative because the sample mean is greater than the hypothesized population mean.
Therefore, the value of the calculated test statistic is -13.04, rounded to two decimal places.
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A rectangle is constructed with its base on the diameter of a semicircle with radius 5 and its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area?.
Refer to the attached image.
Find the measures of angles 1, 2, and 3
Let R2 unrestricted and R2 restricted be 0.29 and 0.06, respectively. The difference between the unrestricted and restricted model is that you have imposed three restrictions. There are 100 observations. The number of regressors in the unrestricted model is 5. After we compare the F-statistic (under the assumption of homoskedasticity) with its critical value at 5% significance level, we decide:
We compare the F-statistic (under the assumption of homoskedasticity) with its critical value at 5% significance level, we decide the evidence that these restrictions help to improve the fit of the model.
Given that R2 unrestricted and R2 restricted are 0.29 and 0.06, respectively. After comparing the F-statistic with its critical value at 5% significance level, we decide to reject the null hypothesis that the three restrictions we imposed on the unrestricted model are insignificant.
The given F-statistic is a ratio of R2 in the unrestricted and restricted models. Mathematically, this is expressed as follows;F = ((R2unrestricted - R2restricted)/ q)/((1-R2unrestricted)/(n-k))whereq = number of restrictionsk = number of regressors in the unrestricted modeln = total number of observationsIn our case, q = 3, k = 5, n = 100
Hence,F = ((0.29 - 0.06) / 3) / ((1 - 0.29) / (100 - 5))= 11.31This F-statistic has (q, n-k) = (3, 92) degrees of freedom and a 5% significance level.The critical F-value from the F distribution tables is F(3,92) = 2.76Since 11.31 > 2.76, we reject the null hypothesis that the three restrictions we imposed on the unrestricted model are insignificant.
This means that the coefficients for the three restricted variables are jointly significant in the unrestricted model, that is, we can reject the null hypothesis that they are equal to zero.Therefore, we have evidence that these restrictions help to improve the fit of the model.
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x plus 2.7 is greater than or equal to 9.4
Answer:
X >= 6.7
Step-by-step explanation:
So first of all, what you need is write out the equation from the given prompt
x + 2.7 >= 9.4
Next, what you really want to do is
Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7
At an archery competition, Aylin hits the target 14 out of 20 tries in round one. If Aylin gets 24 tries in round two, approximately how many times are they most likely to hit the target
Answer:
16.8
Step-by-step explanation:
14/20 = 0.7
24 x 0.7 = 16.8
(Feel free to round up or down, or keep it the same depending on the criteria of the question!)
determine whether each of the following sets of quantum numbers for the hydrogen atom are valid. drag the appropriate items to their respective bins.
ml = 0 is valid so the sets of quantum numbers are validated or not validated as mentioned above.
Here are the given sets of quantum numbers for the hydrogen atom which need to be validated.
Set 1 (n=3, l=3, ml=0, ms=+1/2) - Valid or Not valid
Set 2 (n=2, l=1, ml=1, ms=-1/2) - Valid or Not valid
Set 3 (n=4, l=1, ml=0, ms=-1/2) - Valid or Not valid
The first step is to understand the set of quantum numbers. Each electron in an atom is assigned a set of four quantum numbers.
The four quantum numbers are: n, l, ml, and ms. The principal quantum number n, the angular momentum quantum number l, the magnetic quantum number ml, and the spin quantum number ms are the four quantum numbers that define the electron's state.
Set 1 (n=3, l=3, ml=0, ms=+1/2)
It is not valid because ml can be from -l to +l, and when l is 3, ml can be -3,-2,-1,0,1,2,3. So, the value of ml should be from -3 to +3.
Set 2 (n=2, l=1, ml=1, ms=-1/2)
It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 1 is valid.
Set 3 (n=4, l=1, ml=0, ms=-1/2)
It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 0 is valid.
Thus, the sets of quantum numbers are validated or not validated as mentioned above.
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What are the roots of the equation? x2 24=14x Enter your answers in the boxes. X1= x2=.
The roots of the equation x^2 - 14x + 24 = 0 are x1 = 2 and x2 = 12, obtained using the quadratic formula.
To find the roots of the equation x^2 - 14x + 24 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the roots can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = -14, and c = 24. Plugging these values into the quadratic formula, we get:
x = (-(-14) ± √((-14)^2 - 4(1)(24))) / (2(1))
x = (14 ± √(196 - 96)) / 2
x = (14 ± √100) / 2
x = (14 ± 10) / 2
Simplifying further, we have:
x1 = (14 + 10) / 2 = 24 / 2 = 12
x2 = (14 - 10) / 2 = 4 / 2 = 2
Therefore, the roots of the equation x^2 - 14x + 24 = 0 are x1 = 2 and x2 = 12.
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