Therefore, the derivative of the function h(w) is h'(w) = \(7*arcsin(w) + w*cos(w)*7.\)
The derivative of the function h(w) is h'(w) = \(7*arcsin(w) + w*cos(w)*7\). To find this, first simplify the original function using the identity arcsin(w) = sin-1(w), then use the chain rule. We get:
h'(w) = 7*sin-1(w) + w*cos(sin-1(w))*7
Since sin-1(w) is the inverse of sin(w), we can substitute w for sin(w). This gives us:
h'(w) = 7*sin-1(w) + w*cos(w)*7\(7*sin-1(w) + w*cos(w)*7\)
for such more questions in differentiation
https://brainly.com/question/14673926
#SPJ11
twenty-two and eight hundred forty-six thousandths in standard form is
Answer:
22.846Step-by-step explanation:
Twenty-two and eight hundred forty-six thousandths in standard form:
22.846Answer:
22.0846
Step-by-step explanation:
Sorry if the answer is wrong
5 − (x + 5) > −2(x + 4)
1) x > −8
2) x −18
4) x < −18
Answer:
1) x>-8
Step-by-step explanation:
love your pfp and user btw :>>
I need the equation that passes through the point
Answer:
y=4/3x+0
Step-by-step explanation:
slope intercept form works right?
y=mx+b
the m is the slope, and the problem gives us the slope. (4/3)
the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b
HTH!!
Angle t has a measure between 0° and 360° and is coterminal with a â€""710° angle. what is the measure of angle t? 5° 10° 15° 20°
The measure of angle t is 50°. therefore option are not related to answer.
An angle is defined as the intersection of two non-collinear rays with a common endpoint or the intersection of two
sides of a plane figure, sharing a common endpoint.
The given angle is coterminal with -710°. Coterminal angles have the same initial and terminal sides, i.e., the same initial
point and the same terminal point.
In order to find the measure of angle t, we must first find the equivalent angle between 0 and 360°.710° is equal to:
710° - 360° = 350°
Thus, the angle t's measure is equal to 350°.
Now, we must find the equivalent angle between 0 and 360°.350° is equal to:350° - 360° = -10° (not between 0 and 360)
Therefore, to find the equivalent angle between 0 and 360, we must add 360° to the angle that is negative.
Thus: -10° + 360° = 350°.So, the measure of angle t is 50°.Answer: 50°.
for such more question on angle
https://brainly.com/question/19594654
#SPJ11
(c) If 2a + 7b = 11 and ab = 2, find the value of 4a2 + 49b2.
I hope this helps you
take both of sides paranthesis square
(2a+7b)^2=(11)^2
4a^2+2.4a.7b+49b^2=121
4a^2+49b^2+56.2=121
4a^2+49b^2=9
Answer:
65
Step-by-step explanation:
Please see the attached picture for full solution.
PLZ HELP I BEG UU 100 POINTS and BRANLIEST
Answer:
x = 74
z = 106
y = 74
Step-by-step explanation:
For x) The given angle measure 74 is congruent to "x" by the alternate interior angles theorem, thus x = 74
For z) The given angle measure 74 and angle "z" add up to 180, so we can say; 74 + z = 180, therefore z = 106
For y) The given angle measure 74 is a vertical angle with angle "y", and vertical angles are always congruent therefore, y = 74
Hope this helps!
Answer:
X=74°
Since alternate angle are equal in parallel
Y=74°
Since vertically opposite angle are equal
again
y+z=180°
[sum of angle in linear pair is supplementary]
Z=180°-74°
Z=106°
So
x=74°
y=74°
Z=106°
44) 93
O 2 remainder of 6
2 remainder of 7
2 remainder of 4
2 remainder of 5
A graph has time (hours) on the x-axis and Total costs (dollars) on the y-axis. Points are at (4, 52), (5, 60), (6, 68) and (7, 76).
The graph shows the charges of an instructor. The instructor charges an initial fee and then an hourly rate of $8.00 an hour for private lessons. Determine the instructor’s initial charge from the graph.
$
According to the given points on the graph the instructor's initial charge is $20.00.
What is system of equation?A group of two or more equations that are solved concurrently to get the values of the variables that satisfy each of the equations is known as a system of equations. Systems of equations are used to represent and solve issues in mathematics that involve several variables and their interactions. Several techniques, such as substitution, elimination, and graphing, can be used to resolve a system of equations.
Let us suppose the number of hours = x.
Let us suppose the total cost = y.
Thus,
y = mx + b
Substituting the given point:
52 = 4m + b
Given the hourly rate is 8.
52 = 4(8) + b
52 = 32 + b
b = 20
Hence, according to the given points on the graph the instructor's initial charge is $20.00.
Learn more about system of equation here:
https://brainly.com/question/30310271
#SPJ1
The complete question is:
A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. What was the value of sales? The value of sales was $ _______.
A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. The given value of sales was $ 2,180.
To find out the value of sales when a store sold 120 units of good A for $4 each and 340 units of good B for $5 each, we have to calculate the total cost of good A and good B sold respectively and add them together.
Value of sales = Total cost of good A + Total cost of good B Total cost of good A
= Number of units of good A sold x Cost of each unit of good A Total cost of good A
= 120 x $4Total cost of good
A = $480
Total cost of good B = Number of units of good B sold x Cost of each unit of good B Total cost of good
B = 340 x $5
Total cost of good B = $1,700
Therefore,Value of sales = Total cost of good A + Total cost of good B Value of sales = $480 + $1,700
Value of sales = $2,180
Therefore, the value of sales was $2,180.
To know more about units of good visit:
brainly.com/question/33359365
#SPJ11
In ABC, DE ‖ AB. If AB = a, DE = x, BE = b and EC = c.
Then x expressed in terms of a, b and c is
In triangle ABC, Length of DE = (a*x)/(b+c). We can use similarity of triangles to to get the proportion between corresponding sides.
Similarity of triangles can help us to relate the lengths AB, DE, BE, and EC.
Now, since, DE = (a*x)/(b + c) in terms of a, b and c(given).
Now, we can relate the corresponding sides of triangle ABC and ADE.
The denominator (b + c) is equal to the sum of the lengths BE and EC.
Therefore, to express x in terms of a, b, c when in triangle ABC, DE || AB, and AB = a, DE = x, BE = b and EC = c.
DE = (a*x)/(b + c).
This question uses similarity of triangles which is a geometric concept. It helps us to correspond two triangles with different shapes and sizes, and when two triangles are similar their ratios of lengths is proportional to each other.
To learn more about Triangles:
https://brainly.com/question/2773823
statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
Learn more about null hypothesis here:
https://brainly.com/question/29387900
#SPJ11
Find the measure of the central angle of the sector that represents 64% of a circle graph. Round to the nearest degree if necessary. Show your work!!!!
Answer:
To find the central angle of the sector that represents 64% of a circle graph, we can use the proportion:
64% (or 0.64) of the circle is to 360 degrees as x (the central angle of the sector) is to the angle we're trying to find.
Mathematically, we can write:
0.64/1 = x/360
Simplifying this expression, we get:
x = 0.64 x 360/1
x = 230.4
So the central angle of the sector that represents 64% of the circle graph is approximately 230.4 degrees. Rounded to the nearest degree, this is 230 degrees.
Step-by-step explanation:
The first term of a geometric sequence is 2, and the 4th term is 250. Find the 2 terms between the first and the 4th term.
Answer:
second term: 10
third term: 50
Step-by-step explanation:
The equation for any geometric sequence is \(a_{n} = a_{1} *r^{n-1}\) where n is the term number you want to find, \(a_{1}\) is the first term in the sequence, and \(r\) is the common ratio. The equation for this sequence specifically uses 5 as its common ratio, so the equation is \(a_{n} =2*5^{n-1}\)
\(a_{1} = 2*5^{1-1}=2*5^{0} =2*1=2\)
\(a_{2} = 2*5^{2-1}=2*5^{1} =2*5=10\)
\(a_{3} = 2*5^{3-1}=2*5^{2} =2*25=50\)
\(a_{4} = 2*5^{4-1}=2*5^{3} =2*125=250\)
i need help!! can anybody help me?
Choose the 4 statements that are true about simple machines.
A(They can change the direction of the force exerted.
B(They can change the force exerted on an object.
C(They increase the amount of work done on an object.
D(They can change the distance over which a force is exerted.
E(They can increase force and increase distance at the same time.
F(Due to friction, the work put into a machine is always greater than the work output of the machine.
G(They decrease the amount of work that a person needs to do to move an object.
Canada introduces a new economic plan that includes expanded inports and exports. The model indicates that in the next year exports will be normally distributed with a mean of 100 and a variance of 900 (in billions of dollars). In addition, imports are expected to be normally distributed with a mean of 125 and a variance of 625 in the same units. The correlation between exports and imports is expected to be +0.70. Define the trade balance as exports minus imports. The probability that the trade balance is greater than 0 is %. (NOTE: Write your answer as a percent like 8.4, not .084.) Mark for Review What's This?
The probability that the trade balance is greater than 0 is 1 - 0.1056 = 0.8944, or 89.44%.
Here is the breakdown-
The probability that the trade balance is greater than 0 can be determined using the given information.
To solve this, we need to find the probability that exports minus imports is greater than 0.
Let's denote X as exports and Y as imports. The trade balance is defined as X - Y.
To find the probability that the trade balance is greater than 0, we need to find the probability that X - Y > 0.
We know that the correlation between exports and imports is +0.70.
Using this information, we can calculate the covariance of X and Y as:
Cov(X, Y) = correlation * standard deviation of X * standard deviation of Y
\(Cov(X, Y) = 0.70 * sqrt(900) * sqrt(625)\)
= 0.70 * 30 * 25
= 525
Now, we can calculate the standard deviation of the trade balance as:
Standard deviation of trade balance = sqrt(variance of X + variance of Y - 2 * Cov(X, Y))
Standard deviation of trade balance = sqrt(900 + 625 - 2 * 525)
= sqrt(400)
= 20
Now, we can standardize the trade balance by subtracting the mean of the trade balance and dividing by the standard deviation:
Z = (trade balance - mean of trade balance) / standard deviation of trade balance
Z = (0 - (100 - 125)) / 20
= -25 / 20
= -1.25
Finally, we can find the probability that the trade balance is greater than 0 by finding the area under the standard normal distribution curve to the right of Z = -1.25:
Probability = 1 - cumulative distribution function (CDF) of Z at -1.25
Using a standard normal distribution table or calculator, we find that the CDF at -1.25 is approximately 0.1056.
Therefore, the probability that the trade balance is greater than 0 is 1 - 0.1056 = 0.8944, or 89.44%.
To know more on Probability visit:
https://brainly.com/question/31828911
#SPJ11
Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
\( \overline{NM} = 20 \)
\( \overline{MK} = 15 \)
\( \overline{KN} = 25 \)
\( \overline{TR} = 3x - 1 \)
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to \( \overline{TR} \) is \( \overline{NM} \). Thus:
\( \overline{TR} \) ≅ \( \overline{NM} \)
c. Since \( \overline{TR} \) ≅ \( \overline{NM} \), therefore:
\( \overline{TR} = \overline{NM} \)
\( 3x - 1 = 20 \) (substitution)
Add 1 to both sides
\( 3x = 20 + 1 \)
\( 3x = 21 \)
Divide both sides by 3
\( x = \frac{21}{3} \)
\( x = 7 \)
2. a. Slope of LK = \( \frac{rise}{run} = \frac{4}{3} \)
Slope of LM = \( \frac{rise}{run} = -\frac{3}{5} \)
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
\( Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
\( Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} \)
\( Lk = \sqrt{(3)^2 + (4)^2} \)
\( Lk = \sqrt{9 + 16} \)
\( Lk = \sqrt{25} \)
\( Lk = 5 \)
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
\( LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
\( LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} \)
\( LM = \sqrt{(5)^2 + (-3)^2} \)
\( LM = \sqrt{25 + 9} \)
\( LM = \sqrt{34} \)
\( LM = 5.8 \) (nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
A manufacturer of four-speed clutches for automobiles claims that the clutch will not fail until after 50,000 miles. a. Interpreting this as a statement about the mean, formulate a null and alternative hypothesis for verifying the claim. b. If the true mean is 55,000 miles, what error can be made? Explain your answer in the context of the problem. C. What error could be made if the true mean is 45,000 miles?
a. The null hypothesis is that the mean clutch life is equal to or less than 50,000 miles, while the alternative hypothesis is that the mean clutch life is greater than 50,000 miles.
b. If the true mean is 55,000 miles, the error that can be made is a type I error, which is rejecting the null hypothesis when it is actually true.
c. If the true mean is 45,000 miles, the error that can be made is a type II error, which is failing to reject the null hypothesis when it is actually false.
a. The manufacturer's claim can be interpreted as a statement about the population mean clutch life, which is the average clutch life for all clutches produced by the manufacturer. The null hypothesis, H0, is that the mean clutch life is equal to or less than 50,000 miles, while the alternative hypothesis, Ha, is that the mean clutch life is greater than 50,000 miles. Mathematically, H0: µ ≤ 50,000 miles and Ha: µ > 50,000 miles.
b. If the true mean clutch life is 55,000 miles, the error that can be made is a type I error, which is rejecting the null hypothesis when it is actually true. In other words, if a sample of clutches is tested and the sample mean clutch life is greater than 50,000 miles, we may conclude that the manufacturer's claim is false and the true mean clutch life is greater than 50,000 miles. However, this conclusion may be wrong due to sampling error, and we may be falsely rejecting the null hypothesis.
c. If the true mean clutch life is 45,000 miles, the error that can be made is a type II error, which is failing to reject the null hypothesis when it is actually false. In this case, if a sample of clutches is tested and the sample mean clutch life is less than or equal to 50,000 miles, we may conclude that the manufacturer's claim is true and the true mean clutch life is equal to or less than 50,000 miles. However, this conclusion may be wrong due to sampling error, and we may be falsely accepting the null hypothesis.
Learn more about Null Hypothesis:
brainly.com/question/28920252
#SPJ11
help plz,.
cos5A - cosA / sin5A+sinA-2sin3A=cotA
prove it.
Answer:
here is your answer of the question
Answer:
hope it helps you have a great day keep smiling be happy stay safe
if you pay 6$ for a pound of something how much would it cost to buy 2.6 pounds
Answer:
\(6\cdot2.6=15.6\)$ for \(2.6\) pounds
Step-by-step explanation:
Rate - \(6\) dollars per pound
We have \(2.6\) pounds
Here's our equation
\(6\cdot2.6\)
Solve\(6\cdot2.6=15.6\) for \(2.6\) pounds
which table could represent a function
Answer:
i think 4 but i dont know donf teust me
The ratio of the number of Baskin Robbins :Cold stone ice cream cones sold in a day is 11:9.If the number of Baskin Robbins cone sold is 44 .(a)How many cold stone cones are sold ? (b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?
answer fast plsssssssssssssssssssssssssssssssss
Answer:
a) 36
b) 11:5
Step-by-step explanation;
a) let the number of cold stone cones be x
Since the initial ratio is 11:9
we have the ratio of the ice creams as;
11:9 = 44:x
11/9 = 44/x
11 * x = 9 * 44
x = (9 * 44)/11
x = 9 * 4 = 36
b) Now, from 36, we have a number of cold stones as 20
So the ratio now will be;
44:20
and that would be;
11:5
let an be a bounded sequence of complex numbers. show that for each c > 0, the series l~=l ann- z converges uniformly for rez ~ 1 c. here we choose the principal branch of n- z
Whave established that the series l~=l an - z converges uniformly for Re(z) ≤ c
What is uniformly?
The keyword "uniformly" refers to the concept of uniform convergence. In the context of the given question, it is stated that the series l~=l an - z converges uniformly for Re(z) ≤ c. Uniform convergence means that the convergence of the series is independent of the value of z within a certain range (Re(z) ≤ c in this case).
To show that the series l~=l an - z converges uniformly for Re(z) ≤ c, where an is a bounded sequence of complex numbers and we choose the principal branch of n - z, we need to demonstrate that for any ε > 0, there exists an N such that for all n > N and for all z with Re(z) ≤ c, the inequality |l~=l an - z| < ε holds.
Given that an is a bounded sequence, there exists an M > 0 such that |an| ≤ M for all n.
Let's consider the series l~=l an - z. We can write it as:
l~=l an - l z.
Now, since |an| ≤ M for all n, we have:
|an - z| ≤ |an| + |z| ≤ M + c.
By choosing N such that M + c < ε, we can ensure that for all n > N and for all z with Re(z) ≤ c, the inequality |an - z| < ε holds.
Now, using the triangle inequality, we have:
|l~=l an - z| ≤ |an - z|.
Since we have shown that |an - z| < ε for n > N and Re(z) ≤ c, it follows that |l~=l an - z| < ε for n > N and Re(z) ≤ c.
Therefore, we have established that the series l~=l an - z converges uniformly for Re(z) ≤ c.
To know more about uniformly visit:
https://brainly.com/question/22209943
#SPJ4
x^3x^5=x^p, where p=
Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.
Therefore,
\(x^(3+5) = x^8\)
Now,
\(x^(3+5) = x^8\)
is of the form:
\(x^b = x^p\)
When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,
p = 8
There we have it. The value of p is 8. The full solution is shown below:
\(x^3 × x^5 \\= x^px^8\\ = x^p\)
We can see that the base of the exponential expression on either side is equal.
Therefore, the power of the base must be equal as well. In other words
,p = 8.
To know more about base visit:
https://brainly.com/question/14291917
#SPJ11
A metal bar has a mass of 960g and a volume of 120cm³. Find the density of the metal in the bar.
Answer:
Density = 8g/cm³
Step-by-step explanation:
Density = Mass/Volume
Given the following
Mass = 960g
Volume = 120cm^3
Substitute
Density = 960g/120cm^3
Density = 8g/cm³
How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)
Answer:
2(4)-3+5
Step-by-step explanation:
8-3+5
13-3
10
Answer:
i would say a
Step-by-step explanation:
6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.
Step-by-step explanation:
St3-623t+4St3-623t+4V=St3-623t+4V=dsSt3-623t+4V=dsdtSt3-623t+4V=dsdtSo 3t²12 + 3 = vSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1EX24) 29 du Use the chain rule to find the indicated derivative. og, where du g(u, v) = f(x(u, v),y(u, v)), f(x,y) = 7x³y³.x(u, v) = ucosv, y(u, v) = usiny = 56u² cos v sin³ v
∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).
To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:
Given:
g(u, v) = f(x(u, v), y(u, v))
f(x, y) = 7x³y³
x(u, v) = ucos(v)
y(u, v) = usin(v)
To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:
∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)
To find ∂f/∂x, we differentiate f(x, y) with respect to x:
∂f/∂x = 21x²y³
To find ∂x/∂u, we differentiate x(u, v) with respect to u:
∂x/∂u = cos(v)
To find ∂f/∂y, we differentiate f(x, y) with respect to y:
∂f/∂y = 21x³y²
To find ∂y/∂u, we differentiate y(u, v) with respect to u:
∂y/∂u = sin(v)
Now, we can substitute these partial derivatives into the equation for ∂g/∂u:
∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))
To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:
x(u, v) = ucos(v) = u * cos(v)
y(u, v) = usin(v) = u * sin(v)
∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))
Simplifying further, we get:
∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))
Know more about derivative here:
https://brainly.com/question/25324584
#SPJ11
Need help on unit 2 review
It cost $4.50 for zoo parking, plus an additional $6.25 for admission per person into the zoo. If Jay starts off with $55.00 and buys 3 admission tickets, how much money will he have left?
Answer: he will be left with 31.74 dollars
Step-by-step explanation:
i first put 55.00 - 4.50 = 50.5
then you subtract 50.5 with 6.25 3 times so the and is 31.74
hope this helped !!