Answers
Answer:
7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg
8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg
Step-by-step explanation:
Law of Cosines
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.
Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.
7.
We use the law of cosines to find C.
[tex] 18^2 = 12^2 + 16^2 - 2(12)(16) \cos C [/tex]
[tex] 324 = 144 + 256 - 384 \cos C [/tex]
[tex]-384 \cos C = -76[/tex]
[tex]\cos C = 0.2[/tex]
[tex] C = \cos^{-1} 0.2 [/tex]
[tex] C = 78.6^\circ [/tex]
Now we use the law of sines to find angle A.
Law of Sines
[tex] \dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C} [/tex]
We know c and C. We can solve for a.
[tex] \dfrac{a}{\sin A} = \dfrac{c}{\sin C} [/tex]
[tex] \dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ} [/tex]
Cross multiply.
[tex] 18 \sin A = 12 \sin 78.6^\circ [/tex]
[tex] \sin A = \dfrac{12 \sin 78.6^\circ}{18} [/tex]
[tex] \sin A = 0.6535 [/tex]
[tex] A = \sin^{-1} 0.6535 [/tex]
[tex] A = 40.8^\circ [/tex]
To find B, we use
m<A + m<B + m<C = 180
40.8 + m<B + 78.6 = 180
m<B = 60.6 deg
8.
I'll use the law of cosines 3 times here to solve for all the angles.
Law of Cosines
[tex] a^2 = b^2 + c^2 - 2bc \cos A [/tex]
[tex] b^2 = a^2 + c^2 - 2ac \cos B [/tex]
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
Find angle A:
[tex] a^2 = b^2 + c^2 - 2bc \cos A [/tex]
[tex] 8^2 = 18^2 + 12^2 - 2(18)(12) \cos A [/tex]
[tex] 64 = 468 - 432 \cos A [/tex]
[tex] \cos A = 0.9352 [/tex]
[tex] A = 20.7^\circ [/tex]
Find angle B:
[tex] b^2 = a^2 + c^2 - 2ac \cos B [/tex]
[tex] 18^2 = 8^2 + 12^2 - 2(8)(12) \cos B [/tex]
[tex] 324 = 208 - 192 \cos A [/tex]
[tex] \cos B = -0.6042 [/tex]
[tex] B = 127.2^\circ [/tex]
Find angle C:
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] 12^2 = 8^2 + 18^2 - 2(8)(18) \cos B [/tex]
[tex] 144 = 388 - 288 \cos A [/tex]
[tex] \cos C = 0.8472 [/tex]
[tex] C = 32.1^\circ [/tex]
Related Questions
Hund’s rule of maximum multiplicity specifies that _____. A. electrons will fill orbitals of lower energy first, pairing up only after each orbital of the same energy already has one electron B. electrons will fill orbitals of lower energy first, pairing up only after each s and p orbital has one electron C. electrons will fill all of the s orbitals before filling any p orbitals D. the pattern by which electrons occupy orbitals cannot be predicted
Answers
Answer:
A. electrons will fill orbitals of lower energy first, paring up only after each orbital of the same energy already has one electron
Step-by-step explanation:
The rule states that for a given electron configuration, the lowest energy term is the one with the greatest value of spin multiplicity. This implies that if two or more orbitals of equal energy are available, electrons will occupy them singly before filling them in pairs.
The volume of a sphere is 32
3
π cubic centimeters. What is the radius?
Sphere V = 4
3
πr3
1. Substitute 32
3
into the volume formula for V: 32
3
π = 4
3
πr3
2. Multiply both sides of the equation by 3
4
: 8π = πr3
3. Divide both sides of the equation by π. 8 = r3
4. Take the cube root of both sides: 3√8 = r
The radius of the sphere is
cm.
Answers
Answer:
The radius of sphere is 2 cm.
Step-by-step explanation:
Given that,
Volume of a sphere is, [tex]V=\dfrac{32}{3}\pi cm^3[/tex]
We need to find the radius of sphere. The formula of volume of sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
r is radius of sphere
Substitute the value of V in above formula. So,
[tex]\dfrac{32}{3}\pi =\dfrac{4}{3}\pi r^3\\\\32=4r^3\\\\r^3=8\\\\r=2\ cm[/tex]
So, the radius of sphere is 2 cm.
Answer:
2 I took the assignment
Step-by-step explanation:
25% of what number is 55
Answers
Answer:
25 percent (calculated percentage %) of what number equals 55? Answer: 220.
Step-by-step explanation:
Answer:
The answer is 220
Step-by-step explanation:
We have, 25% * x = 55
or,
25\100 * x = 55
Multiplying both sides by 100 and dividing both sides by 25,
we have x = 55 * 100/25
x = 220
If you are using a calculator, simply enter 55×100÷25, which will give you the answer.
HOPE THIS HELPS : )
ASB is selling In-N-Out as a fundraiser. Fries cost $2 and shakes cost $3. Students can only buy one item each. ASB wants to know which sells better but they lose track of what they sold. They know 105 students bought either fries or a shake. They count their money and it's $245. How many fries (x) and shakes (y) did they sell?
Answers
Answer:
The number of fries and shakes sold are 70 and 35 respectively.
Step-by-step explanation:
The number of fries sold can be denoted by x.
The number of shakes sold can be denoted by y.
The equation representing the total number of items sold is:
x + y = 105...(i)
The cost fries is, $2.
The cost of shakes is, $3.
The equation representing the total money earned is:
2x + 3y = 245...(ii)
Solve equations (i) and (ii) simultaneously as follows:
Multiply equation (i) by 3 and subtract:
3x + 3y = 315
2x + 3y = 245
(-) (-) (-)
___________
x = 70
Compute the value of y as follows:
x + y = 105
70 + y = 105
y = 105 - 70
y = 35
Thus, the number of fries and shakes sold are 70 and 35 respectively.
A company figured that if it had 50 more employees and paid each one $2 per day less, the payroll would increase $620 per day. If it had 50 less employees and paid each $4 per day more, the payroll would decrease $640 per day. How many employees does the company now have? a) 150 b) 125 c) 80 d) 140 e) 180
Answers
Answer: 50 more because it makes sense and 2 dolllors it digures
Step-by-step explanation:
a the answerb thats what i put
Solve:
3x - 4+2(x-5)= 9x + 8- 2x
Answers
Answer:
x = -11
Step-by-step explanation:
3x - 4 + 2(x - 5) = 9x + 8 - 2x
3x - 4 + 2x - 10 = 9x + 8 - 2x
3x + 2x - 9x + 2x = 8 + 10 + 4
- 2x = 22
- x = 22/2
- x = 11
x = - 11
The equation 3x - 4+2(x-5)= 9x + 8- 2x can be solved by first simplifying to 5x - 4 = 7x + 8. After re-arranging, it simplifies to -12 = 2x, and therefore, x = -6.
Explanation:To solve this equation, first simplify and combine like terms on each side of the equation. That gives us: 5x - 4 = 7x + 8. Next, let’s get all the x terms on one side. To do that, we subtract 5x from both sides, which gives us -4 = 2x + 8. Then, subtract 8 from both sides to isolate the 'x', resulting in -12 = 2x. Finally, divide both sides by 2 to find the value of x, which is -6.
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In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. Consider the following facts about the scoring distributions for some NCAA Division I basketball teams. Each team has 121212 players. At Baylor University, there are 666 players who each score 121212 points per game, and there are 666 players who each score 000 points per game. At the University of Maryland, 111 player scores 585858 points per game, 111 player scores 141414 points per game, and the rest of the players score 000 points per game. At Dartmouth College, 444 players score 555 points per game, 444 players score 666 points per game, and 444 players score 777 points per game.
Which of the following is true? Choose all answers that apply: Choose all answers that apply:
(Choice A) A At Dartmouth, the mean number of points per player per game is greater than the median number of points per player per game.
(Choice B) B At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(Choice C) C The median number of points per player per game is the same at all 333 schools.
(Choice D) D The mean number of points per player per game is the same at all 333 schools.
Answers
Answer:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Step-by-step explanation:
Baylor University
6 players who each score 12 points per game
6 players who each score 0 points per game.
The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12
[tex]Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6[/tex]
University of Maryland
1 player scores 58 points per game,
1 player scores 14 points per game,
The rest(10) of the players score 0 points per game.
The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58
[tex]Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0[/tex]
Dartmouth College
4 players score 5 points per game,
4 players score 6 points per game,
4 players score 7 points per game.
The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7
[tex]Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6[/tex]
The following applies:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
In college basketball, the mean and median number of points per player per game can be different depending on the scoring distribution of the team. At Dartmouth, the mean is greater than the median due to players scoring different points. At Maryland, the mean is also greater than the median due to a few players scoring higher points. The median and mean can vary across different schools and teams.
Explanation:Choice A: At Dartmouth, the mean number of points per player per game is greater than the median number of points per player per game. The mean is calculated by summing up all the scores and dividing by the total number of players, while the median is the middle value when the scores are arranged in increasing order. With players scoring different points per game at Dartmouth, there will be players scoring more than the mean, pulling the mean up and making it greater than the median.
Choice B: At Maryland, the mean number of points per player per game is greater than the median number of points per player per game. With only a few players scoring points other than 0, these outlier scores will cause the mean to be greater than the median.
Choice C: The median number of points per player per game can be different at different schools. In the case of Dartmouth, the median could be greater than the mean due to a large number of players scoring the same lower points per game. In the case of Maryland, with a few players scoring higher points, the median could be lower than the mean.
Choice D: The mean number of points per player per game can be different at different schools, as explained in Choices A and B.
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Hal has three pieces of wood. Board A is 12 inches long, board B is 3 inches long, and board C is 7 inches long. If the full length of each board is used, can the three pieces of wood be placed together to form a triangle?
Answers
How do you identify an exponential equation as growth or decay? Y = a(b)^x
Answers
Step-by-step explanation:
y = a (b)ˣ
If 0 < b < 1, the function is exponential decay.
If b > 1, the function is exponential growth.
Bus A and Bus B leave the bus depot at 7 am. Bus A takes 25 minutes to do its route and bus B takes 40 minutes to complete its route. At what time are they both back at the bus depot together?
Answers
Bus A and Bus B leave the bus depot at 7 am. At 10:20 AM are they both back at the bus depot together.
Given:
Bus A takes 25 minutes to complete its route once Bus B takes 40 minutes to complete its route To find time when they will be back at the bus depot together we need to find LCM of 25 & 40 Minutes=> 25 = 5 * 5
=> 40 = 2 * 2 * 2 * 5
LCM = 2 * 2 * 2 * 5 * 5=> = 200
Thus, After 200 minutes Buses will be back at the bus depot together
200 minutes = 3 hr 20 Minutes 7 : AM + 3 hr 20 Minutes => = 10 : 20 AMThus, At 10: 20 AM Buses would be back at the bus depot together.
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Bus A and Bus B will both be back at the depot at the same time at 10:20am.
Explanation:To solve the problem, we need to determine when both Bus A and Bus B will be back at the depot at the same time. Since Bus A takes 25 minutes to complete its route and Bus B takes 40 minutes, we need to find the common multiple of these two numbers. The smallest common multiple of 25 and 40 is 200. This means that both buses will be back at the depot at the same time after 200 minutes.
Since the buses leave the depot at 7:00 am, we add 200 minutes (or 3 hours and 20 minutes) to this time. Therefore, it's at 10:20 am that both buses are back at the depot at the same time.
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x + 3/3+x=?
................................
Answers
Answer:
1x^2
Step-by-step explanation:
(AKS 16/17): You have earned $200 doing chores around the house. How long will it
take to triple your money if you keep it in an account earning 4.25% compounded
continuously? Use the formula:
Answers
Answer:
It will take 26 years
Step-by-step explanation:
In this question, we are tasked with calculating the time it will take for an amount of money earned to be tripled if compounded continuously.
To calculate this amount of time, we are going to use the formula for compound interest. Mathematically, for an interest compounded, the amount is as follows;
[tex]A = P(1 + r/n)^{nt}[/tex]
Where;
A is the amount at the end of compounding; which is 3 times the original amount = 3 × $200 = $600
P is the initial amount = $200
r is the rate of compounding = 4.25% = 4.25/100 = 0.0425
n is the number of times in which the amount is compounded annually, we take this as 1
t is the time taken to reach the amount
We substitute these values in the equation;
600 = 200(1 + 0.0425/1)^t
Divide through by 200
3 = (1.0425)^t
Take the logarithm of both sides
log 3 = log(1.0425)^t
log 3 = tlog 1.0425
t = log 3/log1.0425
t = 26.4 which is approximately 26 years
a box is shaped like a cube the box has a length of 1 foot of width of 1 foot and a height of 1 foot what is the volume of the box
Answers
Final answer:
The volume of the cube-shaped box, with each side measuring 1 foot, is 1 cubic foot, calculated by multiplying the length by the width by the height.
Explanation:
To find the volume of a cube-shaped box, you multiply the length by the width by the height. Since the box in question has a length, width, and height of 1 foot each, the calculation is quite straightforward:
Volume = length × width × height
Volume = 1 ft × 1 ft × 1 ft
Volume = 1 cubic foot
Therefore, the volume of the cube-shaped box is 1 cubic foot.
-3n + 4r + 2j+n + (-2r) - 10j Simplify and write the answer
Answers
Answer:
-8j -2n +2r
combine like terms
-3n + 4r + 2j+n + (-2r) - 10j
-3n+n
2j - 10j
(-2r) + 4
Chloe is about to perform a relay handoff on a circular track that has a radius of 100 meters. She
needs to run 143.12 meters to pass the baton to her track partner Claire. This means that Claire is
standing
away from her
Which of the following can be use to fill in the above blank?
Answers
Answer:
Claire is standing at a distance of 485.45 meters to Chloe.
Step-by-step explanation:
The track is a circular with a radius of 100 meters.
The total length of the circular track = length of the circumference of a circle
But, length of the circumference of a circle = 2[tex]\pi[/tex]r
So that,
total length of the circular track = 2[tex]\pi[/tex]r
= 2 × [tex]\frac{22}{7}[/tex] × 100
= 628.57
The total length of the circular track is 628.57 meters.
Thus,
the distance of Claire to Chloe = total length of the circular track - distance of Chloe to Claire
= 628.57 - 143.12
= 485.45
This means that Claire is standing at a distance of 485.45 meters to Chloe.
how many attended the basketball game but did not attend the school play
Answers
Answer:
Need more information
Step-by-step explanation:
200% of d is 18 what is d
Answers
Answer:
d = 9
Step-by-step explanation:
200% = double
aka 2d = 18
d = 9
Answer:
d = 9
Step-by-step explanation:
Of means multiply and is means equals
200% * d = 18
Changing to decimal form
2.00 * d = 18
Divide each side by 2
2d/2 = 18/2
d = 9
What is the end behavior of the graph of f(x)=x^5-8x^4+16x^3
Answers
Answer:
As x approaches -∞, y approaches -∞
As x approaches ∞, y approaches ∞
Step-by-step explanation:
The more negative your x gets, the more negative your y gets for (most of the equation).
The more positive your x gets, the more positive your y gets (for most of the equation).
Ali has a rope that is 6 meters long. He cuts away a piece that is 1.17 meters long. How long is the remaining piece of rope?
Answers
Answer:
4.83
Step-by-step explanation:
6 - 1.17 = 4.83
Answer:
6 - 1.17 = 4.83
Step-by-step explanation:
you have 6 meters of rope, if you cut 1.17 of it OFF then you lose it. so that would leave you with 4.83 rope left!
Hope it helps!
plz mark !!!brainlyest!!!
If you wanted to calculate the amount of cardboard needed to create a cereal box
what would you be solving for?*
(1 Point)
Volume?
Lateral Surface Area?
Total Surface Area?
Answers
Answer: Total Surface Area
Step-by-step explanation:
Hi, to calculate the amount of cardboard needed to create a cereal box we have to calculate the total surface area.
The volume is used to calculate the amount of cereal that the box can contain, and the lateral surface area will not include all the cardboard needed for the complete box.
Feel free to ask for more if needed or if you did not understand something.
To calculate the amount of cardboard needed to create a cereal box, we would be solving for the Total Surface Area. This is the sum of the areas of all the faces (or sides) of the box.
Explanation:When we talk about the amount of cardboard needed to create a cereal box, we are interested in determining the
Total Surface Area
of the box. The surface area is the measure of the total amount of material needed to cover the surface of an object. If we're considering a cereal box, which is a three-dimensional rectangular prism, its total surface area is calculated by summing up the areas of all its six faces (top and bottom, front and back, left and right). Specifically, the formula for the total surface area of a box or rectangular prism is 2lw + 2lh + 2wh where l is the length, w is the width, and h is the height.
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At 11:55 p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the
weight (i.e. the force it applies on the clock's hand to move clockwise) varies in a periodic way that can be
modeled by a trigonometric function.
The torque peaks 15 minutes after each whole hour, when the minute hand is pointing directly to the right,
at 3 Nm (Newton metre, the SI unit for torque). The minimum torque of -3 Nm occurs 15 minutes
before each whole hour, when the minute hand is pointing directly to the left.
Find the formula of the trigonometric functid that models the torque applied by the weight t minutes
after Thomas attached the weight. Define the function using radians.
T(t) =(
Answers
Answer:
T(t) = 3sin((t-5)π/30)
Step-by-step explanation:
5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...
T(t) = 3sin((t-5)π/30)
there are 390 students at a school if each classroom holds 30 students how many classroom are needed at the school?
Answers
Answer:
13
Step-by-step explanation:
390 divided by 30 equals 13
Answer:
the school need 13 classrooms
Step-by-step explanation:
390:30=13
Can someone explain what you do here!! Kind of low on time!!
Answers
Answer:
a:
[tex]sin(\theta)=\frac{opposite}{hypotenus}[/tex]
[tex]sin(60)= \frac{a}{4\sqrt3}[/tex]
[tex](4\sqrt3)sin(60)= a[/tex]
[tex](4\sqrt3)(\frac{\sqrt3}{2})= a[/tex]
[tex]6= a[/tex]
b:
the answer choices all have the same value for b, so I dont have to solve for b at all.
[tex]b=6\sqrt2[/tex]
c:
[tex]cos(\theta)=\frac{adjacent}{hypotenus}[/tex]
[tex]cos(60)= \frac{c}{4\sqrt3}[/tex]
[tex](4\sqrt3)cos(60)= c[/tex]
[tex](4\sqrt3)(1/2)= c[/tex]
[tex]2\sqrt3= c[/tex]
d:
d is inside a 45-45-90 triangle. Therefore, side a and d must be of the same length.
[tex]d=a[/tex]
[tex]d=6[/tex]
Solve the equation for x.
-13 + x= 7 + 5x
5
1.5
-1.5
5
Answers
Step-by-step explanation:
Bringing like terms on one side
-13 - 7 = 5x - x
-20 = 4x
-20/ 4 = x
- 5 = x
Given LaTeX: f\left(x\right)=x^{^3}-3x+4f ( x ) = x 3 − 3 x + 4, determine the intervals where the function is increasing and where it is decreasing.
Answers
Answer:
Increasing: [tex]x<-1[/tex] and [tex]x>1[/tex].
Decreasing: [tex]-1<x<1[/tex]
Step-by-step explanation:
We have been given a function [tex]f(x)=x^3-3x+4[/tex]. We are asked to determine the intervals, where the function is increasing and where it is decreasing.
First of all, we will find critical points of our given function by equating derivative of our given function to 0.
Let us find derivative of our given function.
[tex]f'(x)=\frac{d}{dx}(x^3)-\frac{d}{dx}(3x)+\frac{d}{dx}(4)[/tex]
[tex]f'(x)=3x^{3-1}-3+0[/tex]
[tex]f'(x)=3x^{2}-3[/tex]
Let us equate derivative with 0 as find critical points as:
[tex]0=3x^{2}-3[/tex]
[tex]3x^{2}=3[/tex]
Divide both sides by 3:
[tex]x^{2}=1[/tex]
Now we will take square-root of both sides as:
[tex]\sqrt{x^{2}}=\pm\sqrt{1}[/tex]
[tex]x=\pm 1[/tex]
[tex]x=-1,1[/tex]
We know that these critical points will divide number line into three intervals. One from negative infinity to -1, 2nd -1 to 1 and 3rd 1 to positive infinity.
Now we will check one number from each interval. If derivative of the point is greater than 0, then function is increasing, if derivative of the point is less than 0, then function is decreasing.
We will check -2 from our 1st interval.
[tex]f'(-2)=3(-2)^{2}-3=3(4)-3=12-3=9[/tex]
Since 9 is greater than 0, therefore, function is increasing on interval [tex](-\infty, -1) \text{ or } x<-1[/tex].
Now we will check 0 for 2nd interval.
[tex]f'(0)=3(0)^{2}-3=0-3=-3[/tex]
Since -3 is less than 0, therefore, function is decreasing on interval [tex](-1,1) \text{ or } -1<x<1[/tex].
We will check 2 from our 3rd interval.
[tex]f'(2)=3(2)^{2}-3=3(4)-3=12-3=9[/tex]
Since 9 is greater than 0, therefore, function is increasing on interval [tex](1,\infty) \text{ or } x>1[/tex].
I need help!!bASAP- What is the mean and MAD of this data set? Let me know
Answers
Answer:
Step-by-step explanation: for the mean, add up the list of numbers and divide by how many numbers there are, in this case its 7
The volume of gas varies inversely as the pressure. A volume of gas is 120 cubic feet under 6 pounds of pressure. What is the volume at the same temperature when the pressure is 8 pounds?
Answers
The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.
Step-by-step explanation:
The given is,
Volume of gas is 120 cubic feet under 6 pounds of pressure.
Volume of gas varies inversely as the pressure.
Pressure is 8 pounds
Step:1
From the given,
Volume of gas varies inversely as the pressure,
[tex]P_{gas}[/tex] ∝ [tex]\frac{1}{V_{gas} }[/tex].......................................(1)
Ratio of volume to pressure of gas is,
= [tex]\frac{120}{6}[/tex] = 20
Step:2
Pressure of gas is increased 6 to 8 pounds,
Change in pressure = 8 - 6 = 2 pounds
Change in volume = Ratio × change in pressure
= 20 × 2 = 40 cubic feet
Step:3
From the equation (1),
The pressure is increased, the volume of gas is reduced.
Volume of gas at pressure of 8 pounds = 120 - 40
= 80 cubic feet
Result:
The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.
Find the center and radius of the circle with the equation:
(x - 3)2 + (1 - 1)2 - 10
center: (-3,-1)
au center ( 1)
radius: 4
radius: 4
center: (-3,-1)
d. center (
31)
radius: 16
radius 16
Please select the best answer from the choices provided
Pleaseeee help
Answers
Answer:
It’s 14
Step-by-step explanation:
Just add
You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.
Answers
Answer:
$1,725.39
Step-by-step explanation:
-Take 1 year =365 days.
#We calculate the effective interest rate for 7% compounded daily;
[tex]i_m=(1+i/m)^m-1\\\\=(1+0.07/365)^{365}-1\\\\=0.072501[/tex]
#We now use this rate to calculate the compounded amount after two years:
[tex]A=P(1+i_m)^n\\\\=1500(1.072501)^2\\\\=1725.39[/tex]
Hence, the balance after 2 years $1,725.39
To find the balance after 2 years with daily compounded interest, the formula [tex]A = P(1 + r/n)^(nt)[/tex] is used, with a principal of $1500, an annual rate of 7%, and n being 365. After calculations, the final balance would be approximately $1717.40.
Explanation:To calculate the balance after 2 years when the interest is compounded daily, we can use the formula for compound interest: A = P(1 + r/n)nt, where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial sum of money).r is the annual interest rate (in decimal form).n is the number of times that interest is compounded per unit t.t is the time the money is invested for in years.In your case, you deposit $1500 in an account that pays 7% annual interest. Since the interest is compounded daily, we will use 365 for n. Here's your calculation:
Convert the annual interest rate from a percentage to a decimal by dividing by 100: 7% / 100 = 0.07.Calculate the balance using the compound interest formula: A = 1500(1 + 0.07/365)(365)(2).Compute the value of (1 + 0.07/365) and then raise it to the power of 730 (which is 365 days times 2 years).The resulting amount is the new balance in your account after 2 years, including the interest that was compounded daily.After doing the math, your compounded balance after 2 years will be approximately:
A = 1500(1 + 0.07/365)730
A ≈ $1500 * 1.14493150684931506849
A ≈ $1717.40
This means that after 2 years, you will have approximately $1717.40.
which of the following quotients are negative check all that apply
Answers
Answer:B and D
Step-by-step explanation:Hopes this helps to anyone who finds this