Answers
first covert cal/sect o cal/min
7.68 cal/sec x 60 seconds = 460.8 cal/min
1 Kcal = 1000 cal
divide cal by 1000 to get Kcal
460.8 cal/min / 1000 = 0.4608 Kcal/min
round answer as needed
Related Questions
A number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes . What is the experimental probability of rolling a 2 or a 3 ?
1. 0.16
2. 0.22
3. 0.37
4. 0.78
Answers
Total number of 2s and 3s = 31 + 49 = 80
P(2 or 3) = 80/360 = 2/9 = 0.22 (nearest hundredth)
Answer: 0.22
The experimental probability of rolling a 2 or a 3 would be 0.22
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
We are given that number cube is rolled 360 times , and the results are recorded as follows : 96 ones , 31 twos , 49 threes , 76 fours , 45 fives , and 63 sixes .
Total number of times rolled = 360
Total number of 2s and 3s = 31 + 49 = 80
P(2 or 3) = 80/360 = 2/9
P(2 or 3) = 0.22 (nearest hundredth)
The answer is: 0.22
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what components make an ellipse an ellipse
Answers
An ellipse is a curved shape characterized by two foci and a major axis, with every point on the ellipse being at a constant sum of distances from the foci. The eccentricity, which is the ratio of the distance between the foci to the length of the major axis, determines the 'roundness' of the ellipse. The ellipse can be constructed using the gardener's method to showcase this constant sum property.
Explanation:An ellipse is a specific type of curve that is noticeably different from a circle in that it is elongated; it has two distinct foci instead of a single central point and a major axis that defines its longest diameter. The foci are two fixed points located within the ellipse such that the sum of the distances from any point on the ellipse to the two foci is constant. This consistent sum of distances is what gives an ellipse its characteristic shape. This property is often demonstrated by the 'gardener's method' of creating an ellipse by anchoring a string to two fixed points (the foci) and tracing a path with a marker keeping the string taut.
The eccentricity of an ellipse, which determines its 'roundness,' is the ratio of the distance between the two foci to the length of the major axis. If the foci are close together relative to the major axis, the ellipse will appear more circular; if they are further apart, the ellipse will be more stretched out. The major axis (2a) cuts the ellipse into two equal halves, and each half is referred to as the semimajor axis (a).
A crucial aspect of drawing an ellipse involves identifying the length of the major axis and the location of the two foci. Because these elements are so fundamental, an ellipse can be readily illustrated by the use of string and a couple of tacks representing the foci.
Elizabeth has two gardens in her yard. The first garden is 8 feet long and 6 feet wide. The second garden is half the length of the first garden. the area of the second garden is twice the area of the first garden. What is the area of the second garden? Ask for details Follow Report by Beatrizsalazar 28.02.2018
Answers
The area of the second garden is 96 square feet.
Let's denote the length of the second garden as l (since it's half the length of the first garden) and the width of the second garden as w.
Given:
Length of the first garden [tex](\(L_1\))[/tex]= 8 feet
Width of the first garden [tex](\(W_1\))[/tex] = 6 feet
Length of the second garden [tex](\(l\)) = \(L_1/2\) = \(8/2 = 4\)[/tex] feet
Area of the first garden [tex](\(A_1\)) = \(L_1 \times W_1\) = \(8 \times 6 = 48\)[/tex] square feet
We are given that the area of the second garden [tex](\(A_2\))[/tex] is twice the area of the first garden:
[tex]\[A_2 = 2 \times A_1 = 2 \times 48 = 96\][/tex] square feet
I know how to solve number 4 but I’m having a hard time with 1,2,3,5,6
Answers
angle b=112-------> by vertical angles
angle a+112=180-----> supplementary angles
angle a==180-112----> angle a=68
angle c=angle a-----> by vertical angles
angle c=68
the answer part 1) is
angle a=68°
angle b=112°
angle c=68°
part 2)
angle a+15+38=180-----> angle a=180-(15+38)----> angle a=127
the answer part 2) is
angle a=127°
part 3)
angle b=40-----> by vertical angles
angle d=70-----> by vertical angles
2*angle x+40+angle d=180----> 2*angle x=180-(40+70)
2*angle x=70------> angle x=35
angle a=angle x-----> by vertical angles
angle a=35
angle c=angle x-----> by vertical angles
angle c=35
the answer part 3) is
angle a=35°
angle b=40°
angle c=35°
angle d=70°
Part 4)
angle a+70=90------> are complementary angles
angle a=90-70----> angle a=20
angle a+angle b=90----> are complementary angles
angle b=90-angle a----> 90-20-----> angle b=70
angle d=70 -------> by vertical angles
angle d+angle e=180------> supplementary angles
angle e=180-angle d----> angle e=180-70----> angle e=110
angle a+angle b+angle c+angle d=180
angle c=180-(20+70+70)----> angle c=20
the answer part 4) is
angle a=20°
angle b=70°
angle c=20°
angle d=70°
angle e=110°
Part 5)
angle a+90=180------> supplementary angles
angle a=180-90----> angle a=90
angle a +angle b=180----> supplementary angles
angle b=180-angle a----> angle b=180-90----> angle b=90
angle e=132-----> by vertical angles
angle d+132=180-----> supplementary angles
angle d=180-132----> angle d=48
angle c+138=180-----> supplementary angles
angle c=180-138----> angle c=42
the answer part 5) is
angle a=90°
angle b=90°
angle c=42°
angle d=48°
angle e=132°
part 6)
angle a+110=180------> supplementary angles
angle a=180-110----> angle a=70
angle c=25-----> by vertical angles
angle b+100+25=180----> angle b=180-(100+25)----> angle b=55
the answer Part 6) is
angle a=70°
angle b=55°
angle c=25°
Determine the rate of change from the table of solutions.
Determine the y-intercept from the table.
Write the equation of the line.
x y
--------------------
-3 10
-2 7
-1 4
0 1
1 -2
2 -5
Please Help!!
Show your work please!
Will give brainliest!!
Answers
Slope = [tex] \frac{Y2 - Y1}{X2 - X1} [/tex]
(4 - 1) / (- 1 - 0)
3 / - 1
- 3 is the slope.
Now plug this into slope-intercept form y = mx + b
y = - 3x + b
Use either of the points to find the b variable
1 = - 3(0) + b
1 = 0 + b
1 = b
Your equation is y = - 3x + 1
Rate of change is the same as slope so your rate of change is - 3.
The y-intercept is the "b" in slope-intercept form so your y-int is 1.
Consider a cylinder with radius 6 cm and a height of 11.5 cm. Describe how to calculate the surface area of the given cylinder and what the surface area means.
Answers
A net is an unfolded 3d shape.
To find the surface area you use the equation [tex]A= 2x \pi r h + 2 \pi r^{2} [/tex]
For this cylinder, the answer would be around 659.73
Surface area is the area you get from a shape's net.
A net is an unfolded 3rd shape.
To find the surface area you use the equation A = 2xπrh + 2πr²
The answer would be 659.73 cm²
Hope this helps have a wonderful day!
given the equation (x+a)^2(x-2)=x^3+bx^2+12x-72 find a and b
Answers
[tex]a=- \frac{ x^{2}- \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} ,- \frac{ x^{2}+ \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} [/tex]
Solve for b by simplifying both sides of the equation then isolating the variabel.
[tex]b= \frac{12}{x}+ \frac{72}{ x^{2} }-2+2a- \frac{4a}{x}+ \frac{ a^{2} }{x}- \frac{2a^{z} }{ x^{2} } [/tex]
Hopefully i helped ^.^ Mark brainly if possible
3/7÷1/2 how do you graph this
Answers
Not sure what you mean by graphing it though. Like on a number line? There is no x or y in your equation.
How would I set up the equation to find mRQS on this circle?
Answers
Does 21.6,28.8,36 equal a right triangle
Answers
if they are the lengths of the sides of a right triangle then:
[tex]21.6^2+28.8^2=36^2\\\\L_s=466.56+829.44=1296\\\\R_s=1296\\\\L_s=R_s[/tex]
therefore it's the right triangle.
Which of these expressions represent the sum of 3 and n?
Answers
"Sum of" tells you its addition and because it's addition the order of the two terms (the 3 and the N) don't matter.
Your correct expressions are:
3 + n
or
n + 3
what number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38
Equation needed too!
Answers
The number you should subtract from the numerator (52367) and add to the denominator (47633) of the fraction 52367/47633 to obtain 17/38 after reducing is 21,458.
The equation is:
(52367 - 21458) / (47633 + 21458) = 17/38
To solve this problem, we need to find the number that, when subtracted from the numerator (52367) and added to the denominator (47633), will result in a fraction that reduces to 17/38.
Let's call this number x.
Step 1: Subtract x from the numerator and add x to the denominator.
(52367 - x) / (47633 + x)
Step 2: Set the resulting fraction equal to 17/38 and cross-multiply.
(52367 - x) / (47633 + x) = 17/38
(52367 - x) × 38 = 17 × (47633 + x)
Step 3: Solve for x.
1,990,946 - 38x = 810,761 + 17x
1,180,185 = 55x
x = 21,458
Therefore, the number you should subtract from the numerator (52367) and add to the denominator (47633) to obtain 17/38 after reducing is 21,458.
The equation representing this process is:
(52367 - 21458) / (47633 + 21458) = 17/38
If f(x)=6x^3+5x,g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h(x))) awer choices are a.2 b.3 3.7 4.12
Answers
We know that [tex]h(x)=9x^2-8[/tex] and [tex]g(x)=3x^2+5[/tex]
[tex]g(h(x))=g(9x^2-8)=3(9x^2-8)^2+5[/tex]
[tex]=3(81x^4-144x^2+64)+5[/tex]
[tex]=243x^4-432x^2+192+5[/tex]
[tex]=243x^4-432x^2+197[/tex]
Now that we know that [tex]g(h(x))=243x^4-432x^2+197[/tex], to find [tex]f(g(h(x)))[/tex] we are going to evaluate [tex]f[/tex] at [tex]243x^4-432x^2+197[/tex]
[tex]f(g(h(x)))=f(243x^4-432x^2+197)[/tex]
[tex]f(243x^4-432x^2+197)=6(243x^4-432x^2+197)^3[/tex][tex]+5(243x^4-432x^2+197)[/tex]
[tex]=86093442x^{12}-459165024x^{10}+1025681130x^8-1228219200x^6[/tex][tex]+83152048x^4-301780944x^2+45873223[/tex]
Since the degree of a polynomial is the highest degree of its monomials, we can conclude that the degree of f(g(h(x))) is 12
Answer:
The degree is 12
Step-by-step explanation:
PLEASE HELP!!!
Explain why the graph of quadratic function could not contain both a minimum vertex and maximum vertex at the same time.
Your explanation should be 3-4 sentences and include at least 6 of the following words.
-parabola
-U-shaped graph
-vertex
-minimum
-maximum
-Y-value of the vertex
-X-value of the vertex
-quadratic function
Answers
Answer:
アップダウンは世の常
クズ引いたって動じない
Step-by-step explanation:
Consider the attached diagram if the box weighs 100 N in what direction is the support force
A) up
B) down
C) left
D) right
Answers
There needs to be an equal amt of force exerted on the box from the bottom so that the box won't crash through the ground and into space. It needs to be kept on the ground by a force exerting upwards as gravity pulls it down.
What is the value of x?
Enter your answer in the box.
x =
Answers
A straight line measures to 180°
The angle that measures 134 and x make a straight line
180 = 134 + x
Subtract 134 from both sides
46 = x
The answer is 46°
Hope this helps!
x = 180 - 134 = 46°
Answer: 46°
George earns $455 per week. George recieves a 20% raise. How can george calculate his new weekly per rate?
Answers
OPTION 1:
multiply current pay by 20%, then add the result to the current pay
Step 1:
multiply pay by 20% increase
=$455 * 20%
=$91 increase
Step 2:
add pay increase from step 1 to current pay rate
=$455 + $91
=$546 new weekly rate
OPTION 2:
multiply current pay by (1 + 20%)
=($455)(1 + 20%)
=(455)(1.20)
=$546 new weekly rate
ANSWER: His new weekly rate is $546 per week.
Hope this helps! :)
a furnace is rated 4000 BTU per hour. How many foot pounds of energy are released in one hour?
- 5.1 foot pounds
- 2,456,000 foot pounds
- 0.2 foot pounds
- 3,112,000 foot pounds
Answers
Now we just need to multiply 4000 BTU by our conversion factor:
[tex]4000BTU*\frac{778foot-pound}{1BTU}=3112000foot-pound[/tex]
We can conclude that the furnace released 3,112,000 foot pounds of energy in one hour.
PLX HELP! Need this ASAP! Thx
One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.
Answers
x+x+20^{0}=180^{0}
2x=160^{0}
x=80^{0}.
So measure of smaller angle is 80^{0} and measure of bigger angle is x+20^{0}=80^{0}+20^{0}=100^{0}.
Answer:
80° and 100 °
Step-by-step explanation:
The total of the two angles is 180°, and one angle is 20° smaller than the other, so the equation would be x+x-20°=180°, then all you need to do is find x, and x-20°.
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-Char-
A basket is filled with white eggs and brown eggs. Half of the white eggs are cracked. An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg? Write your answer as a fraction in simplest form.
Answers
The probability of randomly picking a cracked white egg from a basket of white and brown eggs is calculated by dividing the number of cracked white eggs (half of the total white eggs) by the total number of eggs. However, specific numbers for the number of white and brown eggs are needed for an exact answer.
Explanation:In order to answer this question, we need to know the number of white eggs and brown eggs in the basket. However, assuming that there are 'w' white eggs and 'b' brown eggs in the basket, and half of the white eggs are cracked, the probability of randomly picking a cracked white egg would be calculated by dividing the number of cracked white eggs by the total number of eggs. Therefore, if 'w' over 2 represents cracked white eggs, the probability would be (w/2) / (w + b).
For example, if the basket had 10 white eggs and 20 brown eggs, and half the white eggs are cracked. There would be 5 cracked white eggs. Hence, the probability of picking a cracked white egg would be calculated as: (5 / (10 + 20)), which equals to 1/6.
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Please help is the answers is 6
Answers
a regular triangular pyramid has a slant height of 13 mm on a base Edge length of 8 in
Answers
Solve for r.
k=ar/p
a r=ka/p
b r=kap
c r=kp/a
d r=a/kp
Answers
[tex]r= \frac{kp}{a} [/tex]
hopefully i was of help, please mark brainly is possible
Tyrone factored the polynomial completely. What is the value of b? 12x^4+30x^3+4x^2+10x
Ax(Bx^2+1)2x+5
Answers
Given: 12x^4 + 30x^3 + 4x^2 + 10x
Req'd: B = ?
Sol'n:
*use elimination
solving for B:
= 2x (6x^3 +15x^2 + 2x +5)
= 2x (3x^2(2x + 5 +2x +5)
= 2x (3x^2 + 1) (2x + 5)
Answer:
[tex]B=3[/tex]
Step-by-step explanation:
We have been given an expression [tex]12x^4+30x^3+4x^2+10x[/tex].
Let us factor our given expression to answer the given problem.
Factor out [tex]2x[/tex] from all terms:
[tex]2x(6x^3+15x^2+2x+5)[/tex]
Now, we will make two groups of [tex]6x^3+15x^2+2x+5[/tex] as shown below:
[tex]2x((6x^3+15x^2)+(2x+5))[/tex]
[tex]2x((6x^3+15x^2)+(2x+5))[/tex]
Factor out [tex]3x^2[/tex] from 1st group:
[tex]2x((3x^2(2x+5))+(2x+5))[/tex]
[tex]2x(3x^2+1)(2x+5)[/tex]
Upon comparing [tex]2x(3x^2+1)(2x+5)[/tex] with [tex]Ax(Bx^2+1)(2x+5)[/tex], we can see that [tex]A=2[/tex] and [tex]B=3[/tex].
Therefore, the value of B is 3.
please help me with this math question
Answers
3/6=30/60
If we reduce the fractions, we get:
1/2=1/2
Therefore, the rectangles are similar. One of them is just rotated.
what would be the cross section from a vertical slice of a hexagonal pyramid
Answers
Hope this helps!! - xeyaba
Which expression gives the distance between the points (5, 1) and (9, -6)?
Answers
Answer:
[tex]d = \sqrt{65}\text{ units}[/tex]
Step-by-step explanation:
Let [tex](x_1,x_2)[/tex] and [tex](y_1, y_2)[/tex] be the two points.
We have to find the distance between the two points.
The distance Formula:
[tex]d = \sqrt{(x_1 - y_1)^2 + (x_2 - y_2)^2}[/tex]
Here, we are given [tex](x_1,x_2)[/tex] = (5,1) and [tex](y_1, y_2)[/tex] = (9,-6)
Then, the distance between these two points is given by:
[tex]d = \sqrt{(5 - 9)^2 + (1- (-6))^2}[/tex]
[tex]d = \sqrt{(-4)^2 + (7)^2}[/tex]
[tex]d = \sqrt{16 + 49}[/tex]
[tex]d = \sqrt{65}[/tex]
Thus, the distance between the given point is [tex]\sqrt{65}\text{ units}[/tex].
The average pay of employees is $399.44 per week at a local True Value Hardware store. Jay Miller earns $411.11 per week. How much is Jay's pay over the average?
Answers
To calculate how much more Jay Miller's weekly salary is compared to the average, subtract the average weekly salary ($399.44) from Jay's weekly salary ($411.11). The difference is $11.67, which is how much Jay's weekly pay is over the average.
Explanation:The question is asking us to calculate how much more Jay Miller's weekly salary is compared to the weekly average salary of employees at the local True Value Hardware store. The step-by-step process to solve this is very simple. Firstly, we will subtract the average weekly salary from Jay's weekly salary.
The average weekly salary is $399.44.Jay's weekly salary is $411.11.Subtract the average weekly salary from Jay's weekly salary:$411.11 - $399.44 = $11.67
So, Jay's weekly pay is $11.67 over the average.
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Please find perimeter and area. also show work plz. It's really easy. I will mark as brainliest.
Answers
The perimeter of an enclosure is the length around the enclosure, or the sum of all the outer sides added up (red+blue lines in picture).
1) We are told that the two vertical sides of the enclosure (shown in blue) are each 20ft, making it 20 + 20 = 40ft total. All we need to find is the sum of the lengths of the four sides of the triangles (shown in red).
2) We are given the height of the triangle, 16ft, and the length of the base of the triangle, 20ft. To find the length of the edge we're looking for, we need to find the hypotenuse of the right triangle shaded in green. One of the legs of the triangle is 10ft (half of the base of the larger triangle) and the other leg is 16ft (same as height of the larger triangle).
Use the pythagorean theorem, which says [tex] a^{2} + b^{2} = c^{2} [/tex].
a and b are the length of your legs, 10ft and 16ft, and c is the length of the hypotenuse, or the side we're looking for. Plug your numbers in and find c:
[tex]10^{2} + 16^{2} = c^{2} \\ c^{2} = 356\\ c = 18.868 ft[/tex]
3) Now you know each red side is 18.868 ft. There are 4 red sides, so 4 x 18.868ft = 75.472ft. Add this number to the length of your two blue sides to get the perimeter:
75.472ft + 40ft = 115.472ft.
--------------
Area: [tex]720ft^2[/tex]
The area of the enclosure is shaded in yellow. To find the area of the enclosure, you want to find the sum of the areas of all the shapes. Break the enclosure down into one square (in the middle) with two triangles on the top and bottom, find the area of those three shapes, and add those areas together.
1) The equation for the area of the square is [tex]A=s^2[/tex], where s = length of the side.
You're told that the length, s = 20ft. Plug that in and solve for the area of the square:
[tex]A=s^2\\ A=20^2\\ A = 400 ft^2[/tex]
2) The equation for the area of a triangle is [tex]A = \frac{1}{2} bh[/tex], where b = length of base and h = height of triangle.
You're told that the length of the base, b = 20ft and the height of the triangle, h = 16ft. Plug these values in and solve for area of one of the triangles:
[tex]A = \frac{1}{2} bh\\ A = \frac{1}{2} (20)(16)\\ A = 160 ft^2[/tex]
3) Since you have two identical triangles, multiply the area of one triangle by two to get the total area of the two triangles:
[tex]160 ft^2 \times 2 = 320 ft^2[/tex]
4) Add up the areas of the square and the two triangles to get the total area of the enclosure:
[tex]400 ft ^2 + 320 ft^2 = 720ft^2[/tex]
Thomas lives in an apartment complex where all the mailboxes are together in one area. The dimensions of his individual mailbox are shown below.
Answers
5/12 * 6/5 = 30/60.
30/60 * 1/2 = 30/120
If you simplify this you get 1/4.
The volume of the mailbox is 1/4, or 0.25.