McCandless weighed a hundred and forty pounds when he died.
It was apparent that McCandless had been deceased for nineteen days based on a mysterious journal that was discovered among his belongings.
According to a driver's license that was granted eight months before he passed away, he was 24 years old and weighed 140 pounds. After being taken out of the woods, his body underwent an autopsy, which found that it weighed only 66.7 pounds and had no subcutaneous fat that could be seen.
The coroner's findings said that malnutrition was the death's most likely cause.
Thus, McCandless weighed a hundred and forty pounds when he died.
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McCandless weigh when he died is at the amount of sixty-seven pounds.
The term weigh in math is defined as the measure of the force of gravity on an object and the mass of an object will never change, but the weight of an item can change based on its location.
Here we have know that the driver's license issued eight months before he perished indicated that he was twenty-four years old and weighed a hundred and forty pounds. Therefore his body was flown out of the wilderness, and at the time of autopsy determined that it weighed sixty-seven pounds and lacked discernible subcutaneous fat and the cause of death was officially reported as starvation.
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Calculate the double integral.
4x
1 + xydA, R = [0, 4] × [0, 1]
iintegral.gif
R
The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by integrating x + xy with respect to x from 0 to 4 and then integrating with respect to y from 0 to 1.
The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by:
1. Integrate 4x with respect to x from 0 to 4:
∫04x dx = [x2/2]04
= (42/2) - (02/2)
= 16/2
2. Integrate xy with respect to x from 0 to 4:
∫04xydx = [x2/2]41
= (41/2) - (01/2)
= 1/2
3. Add the two integrals together to get the final answer:
16/2 + 1/2
= 8 + 1/2
= 8.5
The double integral of 4x + xydA over the region [0, 4] × [0, 1] is equal to 8.5. This can be computed by first integrating 4x with respect to x from 0 to 4, which gives 16/2, and then integrating xy with respect to x from 0 to 4, which gives 1/2. Adding these two integrals together yields 8 + 1/2, or 8.5.
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I need help in solving these problems please and thank you
The possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.
What are the degree measures of the three angles in triangle?
The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well. Half of 360° is 180°.
We have given,
The triangle PQR,
m∠P=(4x - 9), m∠Q=(6x+2), and m∠R=x. (a) Write an equation to find x.
a)
In a triangle, the sum of the degree measures of the three angles must be 180 degrees.
So for the triangle with angles P, Q, and R, we can use this rule to write the following equation:
m∠P + m∠Q + m∠R = 180
(4x - 9) + (6x + 2) + x = 180
11x - 7 = 180
11x = 187
x = 17
This equation shows that x = 17 is the only possible value of x that satisfies the triangle inequality rule for the given triangle.
b) To find the degree measure of each angle:
m∠P = 4x - 9 = 4(17) - 9 = 57°
m∠Q = 6x + 2 = 6(17) + 2 = 110°
m∠R = x = 17°
Hence, the possible value of x is 17 and the degree measure of each angle is m∠P = 57°, m∠Q = 110°, and m∠R = 17°.
.
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How to graph quadratic equation
Answer:
Below
Step-by-step explanation:
Pick a bunch of values of 'x' .....calculate the corresponding 'y' values then plot the ordered pairs and connect the dots with a smooth curved line ...
evaluate the iterated integral. π 0 1 0 √1 − z2 0 z sin(x) dy dz dx
We can evaluate the given iterated integral to be -πcos2(x) (z - 0 ).
We start with the innermost integral: 0 √1 − z2 0 z sin(x) dy. We can simplify this expression to 0 sin(x) ( √1 − z2 - 0 ). We then integrate this expression with respect to y, yielding sin2(x).
Next, we move on to the middle integral, which is sin2(x) dz. We can easily integrate this expression with respect to z and get sin2(x) (z - 0 ).
Finally, we take the outermost integral, which is sin2(x) (z - 0 ) dx. We can integrate this expression with respect to x and get -cos2(x) (z - 0 ).
Putting everything together, we can evaluate the given iterated integral to be -πcos2(x) (z - 0 ).
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The graph below represents the amount of water in a pool over a period of 5 hours.
Place the tiles in the order that best interprets
the information shown in the graph.
1. It starts raining and the pool fills with more water
2. The pool drain is completely clogged and does not drain any water.
3. The pool drain is slightly clogged and the pool drains water at a slow rate
4. The pool drain is cleaned and drains water at a quick rate
The correct order of given information is 3, 2, 1 and 4.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, the given graph represents the amount of water in a pool over a period of 5 hours.
Here, the order of given information is
The pool drain is slightly clogged and the pool drains water at a slow rate.The pool drain is completely clogged and does not drain any water.It starts raining and the pool fills with more water.The pool drain is cleaned and drains water at a quick rateTherefore, the correct order of given information is 3, 2, 1 and 4.
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What is 1 + 1
hurry im doing a very important test pls
Answer:
Step-by-step explanation:
1+1=2 hope this helps
How do you dilate a triangle by?
To do dilatation a triangle by a scale factor of k, we have to multiply the x and y-value of each triangle point by k.
A coordinate plane is a system that graphs and describes the position of points and lines. It consists of horizontal (x) and vertical (y) axes.
We can perform dilatation for a point or line in a coordinate plane system based on specific criteria.
Dilation is a form of image transformation that produces a new image, which is larger, or smaller, based on a certain scale factor. The new image is the same in shape, but different in size.
The rule of dilatation:
[tex]D_{k}[/tex](x,y) = (kx, ky)
where [tex]D_{k}[/tex] is the point of the new image and k is the scale factor.
When we want to dilate a triangle ABC, the result can be found by multiplying its original points with the scale factor.
For example:
Triangle ABC (-2,2), (-2,3), (1,2) is dilated by a scale factor of 2. The new triangle A'B'C' will be A’(-4,4), B’ (-4,6), and C’ (2,4).
Thus, to dilate a triangle by a scale factor of k, we have to multiply the x and y-value of each triangle point by k.
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WILL GIVE BRAINLIEST!!
Sarah is working in her parent's candy shop making chocolate covered strawberries. She gets paid $50 a week, in addition to $2 for every chocolate covered strawberry she makes. She made $225 this week. Write an equation to show how many strawberries Sarah made this week.
A.50 - 2x = 225
B.50x - 2 = 225
C.50 + 2x = 225
D.50x + 2 = 225
Answer:
a
Step-by-step explanation:
a
Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin
Use the polygon tool to graph the triangle.
Polygon
+Move
-10-9-745
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1-
29
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Undo
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HELP
The image of the triangle after the dilation with a scale factor of 2 is graphed on the image shown at the end of the answer.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, to graph the image of triangle ABC on this problem, we have to:
Identify the coordinates of the vertex.Multiply each coordinate of each vertex by the scale factor.The coordinates of the vertices of the original triangle are given as follows:
(0,0), (-4,-2), (-4,4).
The scale factor for the dilation is is given as follows:
k = 2.
Then the coordinates of the vertices of the image of the triangle after the dilation are given as follows:
(0,0), (-8,-4), (-8,8).
The triangle with these three vertices is graphed on the image presented at the end of the answer.
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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 14)(0,14) and (6, 896)(6,896).
The exponential function in the form y=ab^xy=ab^x is [tex]y=14^{(2)}^{x}[/tex]
An exponential function is defined as a mathematical function of the following form:
f(x) = a^x. where x is a variable, and a is a constant and is also called the base of the function.
where a> 0 and a≠ 1.
first, we have to find a and b values, to find a and b values we have to substitute the points into the given equation.
y=ab^xy=ab^x we can rewrite it as y=ab^x
using (0, 14 ), then the equation becomes:
14=ab^0 [b^0 =1 ], then
14 = a × 1
⇒ a = 14
y = 14b^x
Now, use the second point: (6, 896 )
896 = 14 b^6 ( divide both sides by 14 )
64 = b^6 ( take the sixth root of both sides )
[tex]b=\sqrt[6]{64}[/tex]
b=2
substitute a and b values in the equation, and we get:
Hence, y = 14^(2)^x is the exponential function.
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Helpp
Nolen was standing near the Washington Monument in Washington DC. The line to go up inside was quite
long. He was bored and decide to have fun and find out how many feet he was away from the door. In the
tourism guide it says the monument is 550 feet tall. He took out his cellphone app and measured an angle
of 75° to the top of the monument. His eye height was 5.7 ft. How far away was he from the door?
Nolen was standing
feet away from the door.
**Round to nearest tenth.
Nolen was 145.8 feet far away from the door.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms.
Given, In Washington, DC, Nolen was standing close to the Washington Monument. There was a sizable line to enter. He decided to have some fun and see how far he was from the entrance because he was bored. The monument is described as being 550 feet tall in the tourism brochure. He pulled out his phone and used the software to measure the monument's top at a 75° angle. He had 5.7 feet of eye height.
The accompanying image will assist us in better comprehending this situation.
Let's make the triangle from the eyes of the Nolen.
We will get the height of the triangle = 544.3feet
and the angle is 75
Thus, the Base of the triangle = height / tan∅
the Base of the triangle = 544.3 / tan 75
the Base of the triangle = 145.844 feet
Therefore, The distance between Nolen and the door of the monument is 145.8 feet.
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I need this for my home work please help me
Answer: It's A, 1/6 is less than 1/5
Also could you mark my answer as brainliest? It helps and doesnt hurt
John’s golf score was 4 less than 2/3rds of Sam’s. If the sum of their score was 100, find Sam’s score
Answer:
62.4
Step-by-step explanation:
Sam's score= x
John's score= 2/3x-4
john's score + sam's score=100
x+2/3x-4=100
5/3x-4=100
5/3x=104
5x=312
x=62.4
Sam's score is 62.4
John's score is 37.6
After 8 matches a basketball player has a mean of 27 points. After ten matches his mean was 31 points.How many points in total did he score in his last 2 matches
In the last two games, a basketball player has scored 94 points altogether.
What is Mean?
The mathematical average of two or more numbers is known as the mean. It can be calculated using either the geometric or arithmetic mean methods.
Given, After 8 matches a basketball player has a mean of 27 points. After ten matches his mean was 31 points.
mean = sum of total observation / no. of observations
let the sum of total points scored in 8 matches be x
x/8 = 27
x = 216
after three more matches, his mean was 31.
new mean = x + (points in last three games)/(8+2)
31 = (x + (points in last three games))/10
x + (points in last three games)= 310
we know that x = 216
216 + (points in last three games) = 310
points in the last three games = 310 - 216
Points in the last two games = 94
therefore, a basketball player scores a total of 94 points in the last two games.
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For two acute angles ∠E and ∠F, cos(E)=sin(F). Let m∠E=(8x–12)° and m∠F=(6x–10)°. What is m∠F, in degrees?
Answer:
If cos(E) = sin(F), then we know that m∠E + m∠F = 90 degrees (since E and F are acute angles).
We are given that m∠E = (8x - 12) degrees, and we want to find m∠F.
We can substitute the given value of m∠E into the equation m∠E + m∠F = 90 degrees, and solve for m∠F:
(8x - 12) + m∠F = 90
m∠F = 78 - 8x
So the measure of angle F is 78 - 8x degrees.
We are also given that m∠F = (6x - 10) degrees. So we can substitute this value into the equation we just found:
m∠F = (6x - 10) = 78 - 8x
We can now solve this equation for x:
6x - 10 = 78 - 8x
14x = 88
x = 6
So we know that x = 6.
Now we can substitute this value back into the equation m∠F = (6x - 10) to find the measure of angle F:
m∠F = (6x - 10) = (6 * 6) - 10 = 24 degrees
So the measure of angle F is 24 degrees.
What are three examples of exponential decay?
The three examples of exponential decay are radioactive decay, carbon-14 dating, and medical imaging.
Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. The most common type of radioactive decay is alpha decay, in which the nucleus emits an alpha particle (a helium nucleus) and transforms into an atom with a mass number that is four less than the original atom.
Carbon-14 dating is a method for determining the age of objects that contain organic material by measuring the radioactive decay of carbon-14. Carbon-14 is a radioactive isotope of carbon that is present in all living things in a constant amount.
When an organism dies, the carbon-14 begins to decay and is not replaced. The half-life of carbon-14 is 5730 years, which means that after 5730 years, half of the carbon-14 will have decayed.
Medical imaging, such as X-rays and CT scans, use ionizing radiation, which can damage living tissue. The amount of damage is a function of the radiation dose and the sensitivity of the tissue. The damage is typically repaired by the body, but at high doses, the damage can be permanent and result in cell
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Melissa Josh and Pablo have a total of $66 in their wallet Pablo has three times which Josh has Josh has nine more dollars than Melissa how much do they have in their wallets 
Let M be the amount of money Melissa has, J be the amount of money Josh has, and P be the amount of money Pablo has. We can set up the following equation:
M + J + P = $66
P = 3J
J = M + $9
Substituting the second equation into the third equation, we get:
J = M + $9
3J = 3(M + $9)
3M + 3*$9 = 3J
3M + 3*$9 = 3(M + $9)
3M + 3*$9 = 3M + $27
$27 - $27 = 3M - 3M
0 = 0
Since 0 = 0, the equation holds true for any values of M, J, and P as long as they add up to $66. Therefore, there is not enough information to determine how much money Melissa, Josh, and Pablo have in their wallets.
Washington Auto Repair originally paid its mechanics $40 per hour. Now that there is a new owner, mechanics make $30.90 per hour. What was the percent of decrease in pay?
If Washington Auto Repair originally paid its mechanics $40 per hour. Now that there is a new owner, mechanics make $30.90 per hour. The percent of decrease in pay is: 22.75%.
How to find the percent decrease?Using this formula to find or determine the percent decrease
Percent decrease = Original Value – New Value/Original value
Let plug in the formula
Percent decrease = $40 per hour - $30.90 per hour / $40 per hour
Percent decrease = $9.10 / $40 per hour × 100
Percent decrease = 22.75%
Therefore the percent decrease is 22.75%.
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Write a rule for the pattern below. Draw the next figure in the pattern. How many circles will the next figure in the pattern have?
Answer:
15 circles
The pattern is 1,3,6,10....... which is increasing One digit for each pattern
i need help........
One vertex of a triangle is at point P(3, 2) . The triangle is dilated by a scale factor of 4 . The center of dilation is the origin. Which statement is true? Responses The new triangle is both similar to and congruent to the original triangle. The new triangle is both similar to and congruent to the original triangle. The new triangle is congruent to the original triangle but not similar. The new triangle is congruent to the original triangle but not similar. The new triangle is neither similar to nor congruent to the original triangle. The new triangle is neither similar to nor congruent to the original triangle. The new triangle is similar to the original triangle but not congruent.equation y=3x where x is the number of days, and y is the total number of hats made. Julia also knits scarves at the rate shown in the graph. How many more days will it take Julia to knit 24 hats than it will take her to knit 10 scarves?
The correct statement regarding the dilation is given as follows:
The new triangle is similar to the original triangle but not congruent.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The definitions for similar and congruent triangles are given as follows:
Similar triangles: same angle measures.Congruent triangles: same side lengths.For the dilation, due to the multiplication of the side lengths by the scale factor, the side lengths are modified, meaning that the original triangle and the dilated triangle are not congruent.
The angle measures, conversely, remain constant, meaning that the original triangle and the dilated triangle are similar.
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How many equilateral triangles make a regular hexagon 6?
By the property of regular hexagon , the total number of equilateral triangles are need to form a regular hexagon is six .
What is a Regular Hexagon ?
A regular hexagon is defined as a closed figure that is made up of six equal sides .
The Properties Of Regular Hexagon are :
(i) Regular Polygon has 6 equal sides and 6 equal angles.
(ii) The Sum of interior angles is equal to 720°.
(iii) Each Interior angle is of 120° and exterior angle is of 60°.
(iv) Regular Hexagon made up of six equilateral triangles.
(v) There are 9 diagonals that can be drawn inside a regular hexagon.
Therefore , 6 equilateral triangles are need to form regular hexagon .
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How many numbers greater than 4000 can be formed with the digits 2 3 4 5 and 6 when no digit is repeated?
120 numbers greater than 4000 can be formed with the digits 2 3 4 5 and 6 when no digit is repeated.
In order to find out how many numbers greater than 4000 can be formed with the digits 2, 3, 4, 5 and 6 without repeating any digit, we can use permutation. The formula for permutation is n!/(n-r)! Where n is the total number of digits and r is the number of digits in the number.
In this case, n=5 and r=4.
Therefore, the formula is 5 x/(5-4)! which is 5x/(1x) = 5! = 5x4x3x2x1 = 120.
This means that there are 120 numbers greater than 4000 that can be formed with these five digits without repeating any digit.
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A basketball player scored 40 points by making 2-point and 3-point baskets. The player made a total of 17 shots. How many were 2-pointers and how many were 3- pointers?.
Answer:
11 2 point and 6 3 point baskets
Step-by-step explanation:
Let x be the number of 2-point baskets the basketball player made, and let y be the number of 3-point baskets. We know that the player made a total of 17 shots, so x + y = 17. We also know that the player scored 40 points, and each 2-point basket is worth 2 points and each 3-point basket is worth 3 points, so 2x + 3y = 40.
We can solve this system of equations using substitution. From the first equation, x = 17 - y. Substituting this expression for x into the second equation, we get 2(17 - y) + 3y = 40. Expanding the left side, we get 34 - 2y + 3y = 40. Simplifying, we get y = 6.
Substituting this value for y back into the first equation, we get x = 17 - 6 = 11. Therefore, the basketball player made 11 2-point baskets and 6 3-point baskets.
Can you help me with this
Answer:
[tex]y=\frac{1}{2}x+1[/tex]
Step-by-step explanation:
The points [tex](-2,0)[/tex] and [tex](0,1)[/tex] lie on the line.
The slope of the line is [tex]m=\frac{1-0}{0-(-2)}=\frac{1}{2}[/tex].
Since the [tex]y[/tex]-intercept is [tex](0,1)[/tex], the equation is [tex]y=\frac{1}{2}x+1[/tex].
need help I can help with Spanish hw (I speak fluent Spanish)
Answer:
Step-by-step explanation:
So how you answer this question is the 3rd one
An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function C (x) = 0,5x2-180x + 35,646. What is the minimum unit cost? Do not round your answer. Unit cost :50 x 5 ?
The minimum unit of cost is 19446.
The function C (x) = [tex]0.5x^{2}-180x+35646[/tex].
Minimum point: The minimum point of a function can be defined as the point at which a function takes its lowest value. This point is found by equating the derivative of the function to zero and solving.
For a quadratic equation of the form
f(x)= [tex]ax^{2}+bx+c[/tex]
The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients.Minimum occur when a is positive and it occurs at x=[tex]\frac{-b}{2a}[/tex]
Here cost function quadratic with a= 0.5 , b= -180
So minimum is at
[tex]x=\frac{--180}{2*0.5}[/tex]
=180
So minimum cost is when x=180. So find C(180) to get minimum unit cost .
C(180)=[tex](0.5)*(180)^{2}-180*180+35646[/tex]
=19446
Therefore, the minimum unit of cost is 19446.
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The diagram shows j // k and cut by transversal t. Which angle is a corresponding angle to Angle 8 in the diagram below?
The corresponding angle of angle 8 is angle 4.
How to find corresponding angles?When parallel lines are cross by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, linear angles, same interior angles, alternate exterior angles, vertically opposite angles.
In the diagram, j and k are parallel line cut by the transversal t. Let's find the corresponding angle of 8.
Corresponding angles are the angles which are formed in matching corners with the transversal when two parallel lines are intersected by any other line. corresponding angles are congruent.
Therefore,
∠4 is corresponding to ∠8.
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I don’t know the answer to this.
Yay! This one isn't that bad.
Think of it like this:
123 = 123
1 = 1, 2 = 2, and 3 = 3.
For angles, ABC = ABC, A = A, B = B, and C = C.
If you know that example SOQ = WHO, then S = W, O = H, and Q = O. Nothing else though, unless there's a diagram and you are given information stating otherwise.
Hope that helps! xx And please make sure that you are not posting any questions about exams or tests. That could endanger your grade. I've seen quite a few exam questions on here, and teachers check these things. And even if they don't, be honest! :) Honesty Policy.
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (-5, 7) when represented graphically. What is the sine value of this function?
The sine value of the function will be 7 times square root of 74 over 74.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Firstly, we need to get for the value for r. This will be
r² = (−5)² + 7²
r² = 74
r = square root of 74
After, formulate the equation of a sine. This will be:
sin x = 7/r
sin x = 7/✓74
sin x = (7×✓74)/74
Therefore, the sine value of the function will be sin x = (7×✓74)/74.
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"Your question is incomplete, probably the complete question/missing part is:"
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function?
Negative 7 square root 74 divided by 74 7 times square root of 74 over 74 square root 74 negative 5 times square root of 74 over 74
In a baseball series, teams A and B play until one team has won 4 games. If team A has probability 2/3 of winning against B in a single game, what is the probability that the series will end only after 7games are played
The probability that the series will end only after 7 games are played is 1.77
Here we have given that teams A and B play until one team has won 4 games.
And here we also know that the probability of winning for Team A is 2/3,
Then the probability of winning Team B is calculated as,
=> 1 - 2/3
=> 1/3
Then the probability that the series will end only after 7 games are played is calculated as,
=> P(X = 3) + P(X = 4)
When we apply the values on it, then we get
=> 4C3(2/3)(1/3) + 4C4(2/3)(1/3)
When we simplify this one then we get,
=> 1.77
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