Answer:
step 1: distribute -1
step 2: combine like terms
step 3: subtract 4 on both sides
step 4: divided both sides by -8, so u can isolate M alone
M=-2
Step-by-step explanation:
what is the value of x in this figure
Answer:
43°
Step-by-step explanation:
the blue angle is congruent with the 80° because they are vertical angles
the red angle is 57° because 123° and 57° angles are supplementary angles
the green angle is 43° because the sum or angles in a triangle is 180°
how did the Iraq war impact the united states
Answer: the Iraq war drained Billions of US dollars, putting us into debt we're still trying to get ourselves out of. and it was also one of the bloodiest wars with 4,500 American troops killed. saddam Hussain was also captured and convicted of war crimes.
Step-by-step explanation:
The Iraq war drained Billions of US dollars, putting us into debt we're still trying to get ourselves out of. and it was also one of the bloodiest wars with 4,500 American troops killed. saddam Hussain was also captured and convicted of war crimes.
We know that,
A Gallup poll made on behalf of CNN and USA Today concluded that 79% of Americans thought the Iraq War was justified, with or without conclusive evidence of illegal weapons. 19% thought weapons were needed to justify the war.
Under these assumptions, oil price increases from 2003-2008 due to the Iraq war reduced total U.S. income GDP by a total of approximately $274 billion, a direct transfer of about $124 billion and a further GDP effect of $150 billion.
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Find equations of the normal plane and osculating plane of the curve at the given point.
x = 5t, y = t^2
, z = t^3
; (5, 1, 1)
(a) An equation for the normal plane is
O 5x + 2y + 3z = -30
O 30x + 2y + 3z = 30
O 5x + 3y + 2z = 30
O 5x + 2y + 3z = 30
O 5x + 2y - 3z = 30
b) An equation for the osculating plane is
O 3x - 15y + 5z = 5
O 3x - 15y + 5z = -5
O x - 15y + 3z = 5
O 3x - y + 3z= 5
O 3x - 15y + 5z = 15
Answer:
Step-by-step explanation:
To find the normal plane and osculating plane, we first need to find the required derivatives.
x = 5t, y = t^2, z = t^3
dx/dt = 5, dy/dt = 2t, dz/dt = 3t^2
So, the velocity vector v and acceleration vector a are:
v = <5, 2t, 3t^2>
a = <0, 2, 6t>
Now, let's evaluate them at t = 1 since the point (5, 1, 1) is given.
v(1) = <5, 2, 3>
a(1) = <0, 2, 6>
The normal vector N is the unit vector in the direction of a:
N = a/|a| = <0, 1/√10, 3/√10>
Using the point-normal form of the equation for a plane:
normal plane equation = 0(x-5) + 1/√10(y-1) + 3/√10(z-1) = 0
Simplifying this equation we get:
5x + 2y + 3z = 30
The osculating plane can be found using the formula:
osculating plane equation = r(t) · [(r(t) x r''(t))] = 0
where r(t) is the position vector, and x is the cross product.
At t = 1, the position vector r(1) is <5, 1, 1>, v(1) is <5, 2, 3>, and a(1) is <0, 2, 6>.
r(1) x v(1) = <-1, 22, -5>
r(1) x a(1) = <12, -6, -10>
v(1) x a(1) = <-12, 0, 10>
Substituting these values into the formula, we get:
osculating plane equation = (x-5, y-1, z-1) · <12, -6, -10> = 0
Simplifying this equation we get:
3x - 15y + 5z = 5
Therefore, the equations for the normal plane and osculating plane at (5, 1, 1) are:
(a) 5x + 2y + 3z = 30
(b) 3x - 15y + 5z = 5
what does this integral unit mean?
Answer:
Every time a new piece of equipment is added to the system, if ifs not properly optimized within the scope of the entire system, you'll end up with wasted energy and operational inefficiencies
Answer:its an integral where the function to be integrated is evaluated along a curve. Various different line integrals are in use. In the case of a closed curve it is also called a contour integral. The function to be integrated may be a scalar field or a vector field.
Step-by-step explanation:
hope this helps
50 POINTS FOR WHOEVER SOLVES THIS QUESTION! PLEASE AND THANK YOU!!
Answer:
hello as midpoint is (4,-3)
and an ending point is (8,-5)
there are 4x and 2y among them
so you need to subtract 4x and 2y from the midpoint
which the answer is going to be (0,-1)
i.e. C option
good luck
given -2 1/3 x -5.15 determine the product.
The resulting product of the expression is 12.017
Product of fractionsFractions are written as a ratio of two integers
Given the following expression
-2 1/3 x -5.15
Convert to improper fraction to have:
-7/3 * -515/100
3605/300
12.017
Hence the resulting product of the expression is 12.017
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13. The emf result at the junction of a thermocouple is given by the equation e=0.4T−e T−100. The thermocouple is then calibrated using a standard thermometer. When the standard thermometer reads 50∘C, what is the reading of the thermocouple?
O a. 50.09
O b. 50.11
O c. 50.13
O d. 50.15
The standard thermometer reads 50°C, the reading of the thermocouple is 0.3922.
To find the reading of the thermocouple when the standard thermometer reads 50°C substitute T = 50 into the equation e = 0.4T - e(T - 100). Let's calculate it:
e = 0.4(50) - e(50 - 100)
e = 20 - e(-50)
e = 20 + 50e
to solve this equation for e. Let's rearrange it:
50e + e = 20
51e = 20
e = 20/51 ≈ 0.3922
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eliza took a friend for a birthday dinner. the total bill for dinner was $31.66 (including tax and a tip). if eliza paid a 19.6% tip, what was her bill before adding the tip?
If we take t as total paid amount
x as the amount before adding tip
Then, the bill before adding tip would be
x = 31.29(1 - 0.196)
x = 25.15
If we take t as total paid amount
x as the amount before adding tip
We give our servers tips to show our appreciation for their helpfulness. As a statement that the service was subpar, we can also leave a very little tip or none at all.
However, how did tipping begin in the first place? Why don't businesses simply pay their staff a standard salary and raise their pricing to cover the difference? They do in certain areas, but many of us, particularly in the United States, are so used to tipping for good service and unsure of protocol that we end up tipping our servers regardless.
There are numerous theories as well.
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suppose the instructor wants to perform a chi-square test to check whether the proportions are equal at the 10% significance level. what is the critical value for the test? g
If the calculated chi-square test statistic is greater than 4.605, we would reject the null hypothesis of equal proportions at the 10% significance level.
To find the critical value for a chi-square test at the 10% significance level, we need to use a chi-square distribution table with degrees of freedom (df) equal to the number of categories minus 1.
Suppose the instructor is testing for the equality of proportions among k categories, then the degrees of freedom will be k-1.
The critical value for a chi-square test at the 10% significance level with k-1 degrees of freedom is given by the chi-square distribution table.
For example, suppose we have k=3 categories, then the degrees of freedom will be k-1 = 2. Using a chi-square distribution table with 2 degrees of freedom and a 10% significance level, we find the critical value to be 4.605.
Therefore, if the calculated chi-square test statistic is greater than 4.605, we would reject the null hypothesis of equal proportions at the 10% significance level.
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Which expression is equivalent to 4(3x + 4y)
Answer:
12x+16y
Step-by-step explanation:
cardioid in the first quadrant find the area of the region cut from the first quadrant by the cardioid
The area of the region cut from the first quadrant by the cardioid is 3π/8 +1
A cardioid is a two-dimensional plane figure that has a heart-shaped curve. The equation of cardioid is r = a(1 ± sinθ) .
The area of the polar function can be calculated if the boundary condition that form the reason is given or can be found from the given information now we use the formula using the polar formula of the area as:
\(A = \int\limits^b_a {\frac{r^{2}}{2}} d\theta\)
The Area of the region cut from the first quadrant by cardioid,
\(A = \int\limits^\frac{\pi}{2}_0 {\frac{r^{2}}{2}} d\theta\)
Substituting r = 1 + sin ∅
\(A = \int\limits^\frac{\pi}{2}_0 {\frac{(1+ sin\theta)^{2}}{2}} d\theta\)
Opening square ,
\(A = \frac{1}{2}\int\limits^\frac{\pi}{2}_0 {1 +2sin\theta + sin^{2}\theta d\theta\)
=> \(A = [ \frac{1}{2} (\theta - 2cos\theta + \frac{1}{2} (\theta - \frac{1}{2}sin2\theta))]^\frac{1}{2}_{0}\)
=> 3π / 8 - (-1)
=> 3π/8 +1
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a box of cereal states that there are 90 calories in a 3/4-cup serving. How many calories are there in 4 cups of the cereal.
Answer:
480 calories
Step-by-step explanation:
4 ÷ 3/4= 5 1/3 servings
90 x 5 1/3= 480
You love watching movies on your phone! Unfortunately each movie uses about
0.75GB. For this billing cycle, you’ve already used up 3 GB and your cellular plan
has a 15 GB data limit. How many movies can you watch without going over your
data limit?
1) Let M represent the number of movies you watch. Write an INEQUALITY to
model the number of movies that can be watched without going over the
data limit. Solve the inequality and show all of your work.
Answer:
\(.75M+3<15\)
\(M<16\)
Step-by-step explanation:
This is a linear inequality so you would solve it as any normal linear system:
Subtract 3 from both sides to isolate the M term :
\(.75M<12\\\)
Divide each side by .75 to isolate M:
\(M<16\)
That means you can watch less than 16 movies and stay under your 15GB limit.
If I helped, a brainliest would be greatly appreciated!
400 thousen times 600 times 30 divide by 32 plus 1
Step-by-step explanation:
400,000x600x30/32+1
400,000x600=240,000,000x30=7,200,000,000/32=
225,000,000+1=225,000,001
Really? -_-
what is 7+21?
please help please helppp
Answer:
=28
Step-by-step explanation:
21
+ 7
___________
28
Hope this helps! If it is a simple addition ?
Find the value of x.
B
C(154°)
A
A
A sample of size n = 42 is drawn from a population whose standard deviation is o=8.5. Find the margin of error for a 95% confidence interval for u. a. 2.57 b. 1.31 c. 1.49 d. 0.88
The margin of error for a 95% confidence interval for the population mean is approximately 2.57. So, correct option is A.
To find the margin of error for a 95% confidence interval for the population mean (μ), we can use the formula:
Margin of Error = Z * (σ / √n),
where Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
For a 95% confidence interval, the corresponding z-score is approximately 1.96 (obtained from the standard normal distribution table).
Plugging in the values, we have:
Margin of Error = 1.96 * (8.5 / √42).
Calculating this expression, we find:
Margin of Error ≈ 2.57.
The correct answer is option a) 2.57.
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A textile production facility produces curtains which are sold in home design stores in their area. Their gross sales in hundreds of dollars, S, is dependent on the number of curtains they produce, x, and can be modeled by the functionS(x)=−20+2.5x.Draw the graph of the gross sales function by plotting its S-intercept and another point.
Plot the points (0, -20) and (10, 5) on a graph, and draw a line connecting them to represent the gross sales function S(x) = -20 + 2.5x.
To draw the graph of the gross sales function S(x) = -20 + 2.5x, we need to plot two points: the S-intercept and another point.
First, let's find the S-intercept. The S-intercept is the value of S when x = 0. Substituting x = 0 into the function, we get:
S(0) = -20 + 2.5(0) = -20
So the S-intercept is -20, which means that when the production facility produces 0 curtains, they will not make any sales.
Now, let's find another point. We can choose any value of x and calculate the corresponding value of S. Let's choose x = 8 (you can choose any other value if you prefer). Substituting x = 8 into the function, we get:
S(8) = -20 + 2.5(8) = 0
So when the production facility produces 8 curtains, their gross sales will be $0. This means that the break-even point is at x = 8, where the revenue from selling the curtains covers the production costs.
To plot the graph, we can use these two points: the S-intercept (-20, 0) and the point (8, 0). The graph should look like this:
```
|
|
|
| *
| *
| *
|*_______
0 8 x-axis
S-axis
```
The x-axis represents the number of curtains produced, and the S-axis represents the gross sales in hundreds of dollars. The graph shows that the gross sales function is a linear function that increases as the number of curtains produced increases. The break-even point is at x = 8, and after that, the production facility starts making a profit.
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What’s the answer????
Answer:
f
Step-by-step explanation:
∣∣x+34∣∣=−11, How do you solve this
Answer:
The answer is No Solutions
Step-by-step explanation:
Since this is absolute value, we know the answer has to be positive, because distance has to be positive. We see it is negative, and that cannot be, so the answer is no solutions.
A particle is located at vector r = (0.54,)i + (-36m)j +(p.85m)k constant force of magnitude 2.6 N acts on the particle. Find the components of the torque about the origin when the force acts in (a) the positive x direction and (b) the negative z direction.
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
What is constant force of magnitude?
The motion of a particle occurs on a plane and is influenced by a force of constant magnitude that is always perpendicular to the particle's velocity.
Given:
A particle is located at vector r = (0.54m)i + (-36m)j +(.85m)k constant force of magnitude 2.6 N acts on the particle.
We have to find the torque about positive x direction and negative z direction.
At the positive x direction the torque is (T)
= the x component of position vector . F
= 0.54 x 2.6
= 1.4 N
At negative z direction Torque = - (z component of position vector).F
= .85 x 2.6
= 2.21 N
Hence,
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
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Rebecca bake 200 cookies for the State Fair 60% were oatmeal 120 were lemon and 20 were chocolate what percentage of cookies were not oatmeal?
Answer:
100 - 60 is 40 so it is 40%
Step-by-step explanation:
what conditions are required for the inference, part b, to be valid? are these conditions reasonably satisfied?
For the inference in part b to be valid, the conditions required are reasonable satisfaction.
To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.
However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.
These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.
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"Raju's father age is 5 years more than three times of Raju's age. Raju's father age is 50 years."
Let rajus age be x
His father=3x+5ATQ
\(\\ \bull\tt\longmapsto 3x+5=50\)
\(\\ \bull\tt\longmapsto 3x=50-5\)
\(\\ \bull\tt\longmapsto 3x=45\)
\(\\ \bull\tt\longmapsto x=\dfrac{45}{3}\)
\(\\ \bull\tt\longmapsto x=15\)
Answer:
10?
Step-by-step explanation:
I dont understand the question but from what i can decipher, raju is either 10 or 17 but im going for 10
What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember \( 1 \mathrm{~km}=1000 \mathrm{~m} \)
The diameter of the small volcano 'Pico' would be = 8km
What is an isoline of a map?An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.
The isoline that is used in the given map above = 2000m.
The number of lines that surrounds the pico volcano = 4
Therefore the diameter of the volcano = 2000×4 = 8000m
But 1000m = 1km
8000m = 8km
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For problems a - d, write the function in the form LaTeX: y=ab^x. y = a b x . a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 c) LaTeX: y=8^{x+2} y = 8 x + 2 d) LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}
Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or \(ab^x\) for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
\(y=3\sqrt{4^{2x}}\) ; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or \(34^x\)
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
\(y=\frac{\sqrt[3]{5^{3x}}}{2}\) ; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y = \(\frac{1}{2}5^x\)
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
\(y=8^{x+2}\)
on comparing with equation (1) we get a =64 and b =8
y = \(64 . 8^x\)
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
\(y=\frac{3^{2x+1}}{\sqrt{3^{2x}}}\) = \(3^{x+1}\) = \(3 . 3^x\)
on comparing with equation (1) we get a =3 and b =3
y = \(3 . 3^x\)
2. a) The average age of 5 students is 9 years. Out of them the ages of 4 students are 5, 7, 8 and 15 years. What is the age of the remaining student?
Answer:
10
Step-by-step explanation:
5 * 9 = 45
45 is the sum of all the ages added up
45 - (5 + 7 + 8 + 15) = 10
What is the square root of (85+15)?
Answer:
10
Step-by-step explanation:
85+15 is 100
the square root of 100 is 10
Answer
Tha answer is 10 type xhii
Step-by-step explanation:
hope this helps and hope you pass
have a great day/night
2 plus the cube of a number.
The question is asking to express the mathematical operation: 2 plus the cube of a number, this can be written as 2+x^3. 'x' represents the unknown number, and 'x^3' depicts the cube of that number.
Explanation:This question pertains to the mathematical concept known as the 'cube' of a number. It is asking for the expression of the operation: 2 plus the cube of a number. In mathematical terms, if we let x be the unknown number, then the expression can be written as 2+x^3. Here, 'x' represents any number and 'x^3' denotes the cube of that number. So if x was 2, for example, the expression would be 2+(2^3) = 2+8 = 10.
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which set of integers is a pythagorean triple? question 1 options: 10, 24, 25 9, 12, 21 8, 15, 23 6, 8, 10
The set of integers is a Pythagorean triple are option (A) 10, 24, 25 and (D) 6, 8, 10
A Pythagorean triple is a set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right triangle.
Let's check each set of integers
A. 10^2 + 24^2 = 100 + 576 = 676 = 25^2. Therefore, (10, 24, 25) is a Pythagorean triple.
B. 9^2 + 12^2 = 81 + 144 = 225 = 15^2. Therefore, (9, 12, 15) is a Pythagorean triple. However, the set given is (9, 12, 21), which is not a Pythagorean triple.
C. 8^2 + 15^2 = 64 + 225 = 289 = 17^2. Therefore, (8, 15, 17) is a Pythagorean triple. However, the set given is (8, 15, 23), which is not a Pythagorean triple.
D. 6^2 + 8^2 = 36 + 64 = 100 = 10^2. Therefore, the set of integers (6, 8, 10) is a Pythagorean triple.
Therefore, the correct options are (A) 10, 24, 25 and (D) 6, 8, 10
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The given question is incomplete, the complete question is:
Which set of integers is a Pythagorean triple?
A.
10, 24, 25
B.
9, 12, 21
C.
8, 15, 23
D.
6, 8, 10