Answer:
8
Step-by-step explanation:
Answer:
the square root is 8
Step-by-step explanation:
hey please i need this really quick
Answer:
the answer of that question is 45
please hellppp ......
Answer:
BC = 11.9Step-by-step explanation:
To solve for BC we use sine
sin ∅ = opposite / hypotenuse
From the question
AC is the hypotenuse
BC is the opposite
So we have
sin 58 = BC / AC
sin 58 = BC / 14
BC = 14 sin 58
BC = 11.87
BC = 11.9 to one decimal place
Hope this helps you
Answer:
\(\boxed{BC = 11.9 \ cm}\)
Step-by-step explanation:
Sin A = \(\frac{opposite}{hypotenuse}\)
Where A = 58°, Opposite = BC and AC = 14 cm
Sin 58 = \(\frac{BC}{14}\)
BC = 0.848 * 14
BC = 11.9 cm
Find the volume of the conical paper cup.
Answer:
i think it is A sorry if I am worng
Answer:
21 is the correct answer
Step-by-step explanation:
I WILL MARK BRAINLIEST help on zearn mod 4 lesson 10 7th grade
Brian buys a backpack with a price tag of $80. The sales tax rate is 6.25%. What is the total price of the backpack? You can use a double number line to help you visualize the problem. Write an equation that you could use to find the tax. Use y to represent the sales tax in dollars.
500
because 6.25x 80=500, so that gives u the answer. I hope this helps u
please help me I need help plllllzzzzzz
Answer:
it is A
Step-by-step explanation:
What is the value of x in this triangle?
38
53
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answer:
x = 45.79°
Step-by-step explanation:
You can use sin Θ to find the value of x.
Let us find it now.
Sin x = Opposite / Hypotenuse
Sin x = 38 / 53
Sin x = 0.7169
x = Sin ⁻¹ 0.7169
x = 45.79°
Quick
Check
upplementary Angles
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
1
1
0 21 and 22
3
4
2
0 21 and 23
0 21 and 24
22 and 23
O 22 and 24
23 and 24
Answer:
1&3
1&4
2&3
2&4
are all supplementary angles
Answer:
The answer is:
1&3
1&4
2&3
2&4
Step-by-step explanation: did it on edge 2022.
John drove 238 mines in 3.5 hours. If Kristi drove at the same rate as John for 4.5 hours, how far (in miles), would Kristi expect to drive?
• 285.1 miles (rounded)
• 306 miles
• 544 miles
• 1071 miles
Suppose that the temperature u(x,t) of a rod of length ℓ satisfies the heat equation with Neumann boundary conditions: u
t
=ku
xx
(00),u
x
(0,t)=0,u
x
(ℓ,t)=0 Recall that the Neumann conditions correspond to the rod being perfectly insulated at the endpoints. Let A(t)=
ℓ
1
∫
0
ℓ
u(x,t)dx, which is the average temperature of the rod at time t. (a) Show that A
′
(t)=0, so that the average temperature across the rod is independent of time. (Hint: use the fact that
dt
d
∫
0
ℓ
u(x,t)dx=∫
0
ℓ
∂t
∂
u(x,t)dx and then use the heat equation.) (b) Consider the problem u
t
=2u
xx
(00),u
x
(0,t)=0,u
x
(1,t)=0 with initial condition u(x,0)=120x(1−x). Since the rod is insulated, we expect the heat to spread and to approach a uniform temperature across the rod after a long time. Use the fact that A(t) is constant to determine what the numerical value of this temperature will be after a long time. (c) Consider now the wave equation u
tt
=c
2
u
xx
for 0
ℓ
1
∫
0
ℓ
u(x,t)dx, which is the average height of the vibrating string at time t. Find boundary conditions at x=0 and x=ℓ for which it will be true that A
′′
(t)=0, and show that this is the case. (Note that A(t) need not be constant here. )
a. The average temperature across the rod is independent of time.
b. The average temperature across the rod will approach 30ℓ - 20ℓ^(2).
c. The average height of the vibrating string remains constant over time.
(a) To show that A'(t) = 0, we differentiate A(t) with respect to t:
A'(t) = d/dt [ ∫₀ˡᵤ u(x,t) dx ]
Using the Leibniz rule for differentiating under the integral sign, we have:
A'(t) = ∫₀ˡᵤ ∂u/∂t dx
Now, let's use the heat equation: uₜ = k uₓₓ
A'(t) = ∫₀ˡᵤ k uₓₓ dx
By applying the boundary conditions, we know that uₓ(0,t) = 0 and uₓ(ℓ,t) = 0. This implies that the derivative of u with respect to x is zero at both endpoints.
Therefore, A'(t) = ∫₀ˡᵤ k uₓₓ dx = k [uₓ]₀ˡᵤ = k [0 - 0] = 0
Hence, the average temperature across the rod is independent of time.
(b) In this case, we are given u_t = 2u_xx with Neumann boundary conditions: u_x(0, t) = u_x(1, t) = 0, and the initial condition u(x, 0) = 120x(1 - x).
Since A'(t) = 0 as shown in part (a), we know that the average temperature A(t) is constant over time.
Therefore, to find the constant value of A(t) at long times, we can evaluate A(t) at t = 0:
A(0) = (1/ℓ) ∫₀ˡᵉ u(x, 0) dx
Substitute the initial condition:
A(0) = (1/ℓ) ∫₀ˡᵉ 120x(1 - x) dx
Evaluate the integral:
A(0) = (1/ℓ) [120 * (x^(2)/2 - x^(3)/3)] | from 0 to ℓ
A(0) = (1/ℓ) [120 * (ℓ^(2)/2 - ℓ^(3/3))]
A(0) = 60[ℓ/2 - ℓ^(2/3)]
A(0) = 30ℓ - 20ℓ^(2)
So, after a long time, the average temperature across the rod will approach 30ℓ - 20ℓ^(2).
(c) In this case, we are dealing with the wave equation u_tt = c^(2)* u_xx for 0 < x < ℓ, and we define A(t) as the average height of the vibrating string at time t:
A(t) = (1/ℓ) ∫₀ˡᵉ u(x, t) dx
To find the boundary conditions at x = 0 and x = ℓ for which A''(t) = 0, we need to differentiate A'(t) with respect to t:
A''(t) = d^(2)/dt^(2)[∫₀ˡᵉ u(x, t) dx]
Using the property of Leibniz integration rule, we can interchange the order of differentiation and integration:
A''(t) = ∫₀ˡᵉ (∂^(2)/∂t^(2)) dx
Now, we apply the wave equation u_tt = c^(2)* u_xx to the integrand:
A''(t) = ∫₀ˡᵉ (c^(2)* u_xx) dx
Now, we use the boundary conditions: u_x(0, t) = u_x(ℓ, t) = 0
Since the derivative of a constant is zero, we can rewrite the integral as:
A''(t) = c^(2)* ∫₀ˡᵉ u_xx dx
Now, using integration by parts on the right-hand side:
A''(t) = c^(2)* [u_x(ℓ, t) - u_x(0, t)]
Since both u_x(0, t) and u_x(ℓ, t) are zero due to the Neumann boundary conditions, we have:
A''(t) = 0
Therefore, A(t) need not be constant, but A''(t) is zero, indicating that the average height of the vibrating string remains constant over time.
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discriminant of xsqaure - 1/2x +1/2=0
Answer:
\(\boxed{D = 15/8}\)
Step-by-step explanation:
=> \(x^2-\frac{1}{2} x +\frac{1}{2} = 0\)
Comparing it with the standard form of quadratic equation \(ax^2+bx+c = 0,\) we get
a = 1, b = -1/2 and c = 1/2
Discriminant = \(b^2-4ac\)
\(D = (-1/2)^3+4(1)(1/2)\\D = -1/8 + 2\\D = \frac{-1+16}{8} \\D = \frac{15}{8}\)
can a function have two different horizontal asymptotes
Answer:
A function can have atmost two different horazontal asymptotes.
Step-by-step explanation:
Select one:
a.
positive
b.
undefined
c.
zero
d.
negative
Answer:
A
Step-by-step explanation:
This line is positive because it has a positive slope. To find the slope, you do rise over run. Doing so on the graph gives you a slope of 2/2 or 1, positive one. Indicating a positive line. You can also see that the line is moving upwards, not downwards
Which of the following is the graph of f(x) = log(x + 1) - 4?
Option C is correct
Explanation:The given logarithmic equation is:
f(x) = log(x + 1) - 4
For a logarithmic equation of the form:
f(x) = log(a + b) - c
the y-intercept = -c
Comparing the two equations above:
The y-intercept = -4
Taking note of the point above, the logarithmic function f(x) = log(x + 1) - 4 is plotted below
The diagram shows a triangle.
What is the value of v?
Answer:
30
Step-by-step explanation:
Philip bought a pair of jeans that were on sale. The jeans cost $45 before the sale. The sale discount was $9.
Which percent shows the discount Philip got on his jeans?
Answer: It’s 5%
Step-by-step explanation:45 divided by 9 is 5 so that the answer :)
HELP ME PLZZZ WILL MARK YOU BRAINLIEST!!! HURRY
Answer:
\(\boxed {r = \frac{31}{3}}\)
Step-by-step explanation:
To find the value of \(r\), write an expression by using the following measurements of both \(\overline {DG}\) and \(\overline {GM}\), then you solve for \(r\):
\(\overline {DG} = r + 3\)
\(\overline {GM} = 4r - 28\)
\(r + 3 = 4r - 28\)
Solve for \(r\):
\(r + 3 = 4r - 28\)
\(x + 3 - 4r = 4r - 4r - 28\)
\(-3r + 3 = -28\)
\(-3r + 3 - 3 = -28 - 3\)
\(-3r = -31\)
\(\frac{-3r}{-3} = \frac{-31}{-3}\)
\(\boxed {r = \frac{31}{3}}\)
So, the value of \(r\) is \(\frac{31}{3}\).
You invest ten thousand dollars in an account that pays eight percent APR compounded monthly. After how many years will the account have twenty thousand dollars.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
what is percentage ?As a quarter of 100, a number can be expressed as a percentage. It is frequently used to describe distinctions or express changes in numbers. The symbol for percentages is %, and they are frequently utilized to describe ratios, rates, and certain other numerical connections. An 80 percent score on a test, for instance, indicates that the student correctly answered 80 of the 100 questions. Similar to this, if a retailer were offering a 20% discount on a $100 item, the sale price would be $80.
given
With P = 10000, r = 0.08 (8% stated as a decimal), n = 12 (compound monthly), and t to be found when A = 20000, the situation is as follows.
When these values are added to the formula, we obtain:
\(20000 = 10000(1 + 0.08/12)^(12t) (12t)\)
By multiplying both sides by 1000, we obtain:
\(2 = (1 + 0.08/12)^(12t) (12t)\)
When we take the natural logarithm of both sides, we obtain:
ln(2) = 12t ln(1 + 0.08/12)
When we multiply both sides by 12 ln(1 + 0.08/12), we obtain:
t = ln(2) / (12 ln(1 + 0.08/12))
Calculating the answer, we discover:
10.24 years is t.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
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A. 3/5
B. -3/5
C. -5/3
D. 5/3
Answer:
your answer would be A I think
Answer:
i did not understand but i think its
-3/5 i'm not sureeeeeeeee
Step-by-step explanation:
-7.8 + 4.2 - 6.5 What is the value of the expression below?
Answer:
-10.1
Step-by-step explanation:
- 10.1 correct answer.,...........
M is the midpoint of cf for the points c(1,10) and f(5,6) find me to the nearest tenth
Geometry please help!!
Answer:
(3,8)
Step-by-step explanation:
Midpoint formula: \(\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2}\)
\(x_2\) = 5
\(x_1\) = 1
\(y_2\) = 6
\(y_1\) = 10
\(\frac{5+1}{2} , \frac{6+10}{2}\) =
\(\frac{6}{2} , \frac{16}{2}\) =
(3,8)
Use ®P to find the length of the arc. Round to the nearest hundredth.
QT , if the diameter is 9 centimeters
The length of the arc round to the nearest hundredth is 14.44 cm.
To find the length of arc QT, the measure of the central angle that subtends the arc is necessary. Let's assume that arc QT is a semicircle. So, we can make use of the circumference to find out the length of the arc. As we know, that the diameter is 9cm, so the radius (®P) will be 4.5cm.
Circumference = 2 * π * r
Circumference = 2 * π * 4.5
From Circumference, the length of the arc can be calculated as:
Arc length = (2 * π * 4.5) / 2
Arc length ≈ 14.44 cm
Therefore, the length of the arc found with the help of ®P is 14.44cm.
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5(y+25)=−13 what is y
Answer:
y = -27.6
Step-by-step explanation:
To solve for y, you need to isolate the variable on one side of the equation. \(5(y+25)=-13\) ⇒ \(y + 25 = -2.6\) ⇒ \(y = -27.6\).
Answer:
-27.6
Step-by-step explanation:
\(5(y + 25) = -13\)
First, distribute the problem.
\(5y + 125 = -13\)
Secondly, subtract 125 from -13 and 125.
\(125 - 125 = 0\)
\(-13 - 125 = -138\)
Now, we are left with 5y = -138.
Lastly, we divide -138 by 5.
\(-138 / 5 = -27.6\)
Therefore, y is -27.6.
Here's an attachment to make this explanation clearer.
Find the HCF of x 2 y 3 and x 3 y
Answer:
the answer is to the question is x2×y×3
Is m=8 a solution to this equation? (m + 3m) ÷ 4 = 8
yes you are correct because when you plug 8 into the equation you get (8+3(8))/4
a football team had 50 players at the start of the season but then some players left the team after that the team had 42 players
Answer:
if your trying to find out how many left its 8
Step-by-step explanation:
help please thank you
Answer:
This ratio is not proportional. (๑・ω-)~♥”
Consider a sample with data values of 24,20,25,15,30,34,27, and 20. Compute the range. Compute the interquartile range. Enter a number. Compute the sample variance. (Round your answer to two decimal places.) Compute the sample standard deviation. (Round your answer to two decimal places.)
The sample standard deviation is approximately 5.61 and sample variance is approximately 31.46.
To compute the range of a sample,
we subtract the minimum value from the maximum value.
Range = Maximum value - Minimum value
For the given sample,
the minimum value is 15 and the maximum value is 34.
Range = 34 - 15 = 19
The range of the sample is 19.
To compute the interquartile range (IQR) of a sample, we need to find the difference between the third quartile (Q3) and the first quartile (Q1).
IQR = Q3 - Q1
To calculate the quartiles,
we first need to arrange the data in ascending order:
15, 20, 20, 24, 25, 27, 30, 34
The sample size is 8,
so the median (Q2) will be the average of the fourth and fifth values:
Q2 = (24 + 25) / 2 = 24.5
To find Q1, we take the median of the lower half of the data:
Q1 = (20 + 20) / 2 = 20
To find Q3, we take the median of the upper half of the data:
Q3 = (27 + 30) / 2 = 28.5
Now we can calculate the interquartile range:
IQR = 28.5 - 20 = 8.5
The interquartile range of the sample is 8.5.
To compute the sample variance, we use the formula:
Variance = Σ\([(x - X)^2]\) / (n - 1)
where Σ represents the sum of, x is each data value, X is the mean, and n is the sample size.
First, let's calculate the mean (X):
X = (24 + 20 + 25 + 15 + 30 + 34 + 27 + 20) / 8 = 24.625
Now we can calculate the sample variance:
Variance = \([(24 - 24.625)^2 + (20 - 24.625)^2 + (25 - 24.625)^2 + (15 - 24.625)^2 + (30 - 24.625)^2 + (34 - 24.625)^2 + (27 - 24.625)^2 + (20 - 24.625)^2]\) / (8 - 1)
Variance = 31.46
To compute the sample standard deviation,
we take the square root of the sample variance:
Standard deviation = √(Variance) = \(\sqrt{(31.46}\)) ≈ 5.61
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The mean of a continuous uniform distribution is simply the average of the upper and lower limits of the interval on which the distribution is defined. true or false
True. In a continuous uniform distribution, all values within a specified interval are equally likely to occur. The mean or expected value of this distribution can be found by taking the average of the upper and lower limits of the interval.
This can be represented mathematically as (a+b)/2, where a and b are the lower and upper limits of the interval. For example, if we have a continuous uniform distribution on the interval [0,10], the mean value would be (0+10)/2 = 5.
This means that on average, we would expect a randomly selected value from this distribution to be around 5. It's important to note that the mean of a continuous uniform distribution is not affected by the shape or spread of the distribution, as all values have an equal chance of occurring.
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Market researchers were interested in the relationship between the price of bobbleheads and the demand of bobbleheads. Information was collected from a survey and used to obtain the regression equation ŷ = –0.227x + 50.455, where x represents the price of bobbleheads (measured in dollars) and ŷ is the predicted demand of bobbleheads (in units). What is the predicted demand of a bobblehead that has price of $6.00?
–1.362 units
49.093 units
51.817 units
195.837 units
Answer:
49.093
Step-by-step explanation:
Given the regression equation :
ŷ = –0.227x + 50.455
x represents the price of bobbleheads (measured in dollars)
ŷ is the predicted demand of bobbleheads (in units).
Preductwd demand ; when x = 6
ŷ = –0.227(6)+ 50.455
= 49.093
Mrs. Martinez teaches Spanish part time at a nearby college. In one class, there are 12 women and 14 men; in her other class, there are 11 women and 17 men. How many students does she have altogether
To find the total number of students Mrs. Martinez teaches, we need to add the number of students in both of her classes. We are given that there are 12 women and 14 men in her first class, and 11 women and 17 men in her second class.
Therefore, we can add the number of women and the number of men in each class separately and then add the totals to get the final answer.Number of women in the first class = 12 Number of men in the first class = 14 Number of women in the second class = 11 Number of men in the second class = 17 To find the total number of students in the first class, we add the number of women and men:
Total number of students in the first class = 12 + 14 = 26 Similarly, to find the total number of students in the second class, we add the number of women and men:Total number of students in the second class = 11 + 17 = 28 To find the total number of students that Mrs. Martinez teaches, we add the number of students in both of her classes: Total number of students = 26 + 28 = 54
Therefore, Mrs. Martinez teaches 54 students altogether.
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