To find the Lateral Surface Area and Surface Area of a Triangular and Rectangular Prism, follow the below steps:
Lateral Surface Area of a Triangular Prism:
Step 1: Draw a net of the triangular prism
Step 2: Identify the height of the prism, which is perpendicular to the triangular base.
Step 3: Calculate the perimeter of the base by adding all the sides of the triangle.
Step 4: Multiply the perimeter by the height to get the Lateral Surface Area.Lateral Surface Area = Perimeter of the Base × Height Surface Area of a Triangular Prism:
Step 1: Identify the base and height of the triangle.
Step 2: Use the formula to find the area of the triangle: Area of the Triangle = (1/2) × Base × Height.
Step 3: Multiply the result of step 2 by 2 and add it to the Lateral Surface Area.Surface Area = 2(Area of the Triangle) + Lateral Surface Area.
Surface Area of a Rectangular Prism:
Step 1: Identify the length, width, and height of the rectangular prism.
Step 2: Find the areas of each face of the rectangular prism.
Face 1: Length × Width
Face 2: Length × Height
Face 3: Width × Height
Step 3: Add up the area of all faces of the rectangular prism.
Surface Area = 2(LW + LH + WH)
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Need Help. 25 Points!
Please Show work, Thanks! :)
Answer:
B
Step-by-step explanation:
We want to find the quadratic regression formula given the table.
So, let's use the quadratic regression function on your graphing calculator. I don't have one on me, but I believe you simply need to enter the data and hit quadratic regression or something similar.
I'm going to use an online quadratic regression calculator by Keisan Casio.
Refer to the screenshot.
Note that it says to use the 24-hour clock to represent time after noon. So, 2 P.M. will just be 14, 4 P.M. will be 16, etc.
Therefore, our quadratic regression equation is, approximately:
[tex]y=-0.511x^2+14.96x-35.8[/tex]
The choice that best represents this is B.
So, our answer is B.
And we're done!
2. Kris read each day of her vacation. The following is a list of how many pages she read each day:
9a
ya
428
105, 39, 83, 54, 84, 75, 52, 96
a. Create a stem-and-leaf plot to represent this data.
b. Create a box plot to represent this data.
C.
d.
What are the upper and lower quartiles?
Which representation gives you more information about Kris' data? Why?
width x Write an expression for: 002
Step-by-step explanation:
a. The stem-and-leaf plot for Kris's data is:
0 | 9
1 | 05 39 54 75 83 84
4 | 28 28
9 | 6
b. The box plot for Kris's data is:
| 0 1 2 3 4 5 6 7 8 9
---- | ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
10 | |
20 | |
30 | |
40 | |_____
50 | |___ |_
60 | |
70 | |______ |
80 | |___| |___|
100 | |
c. The lower quartile is 54 and the upper quartile is 84.
d. The box plot gives more information about Kris's data because it provides a visual representation of the distribution of the data, including measures of central tendency and variability. The stem-and-leaf plot is useful for showing the individual data points, but it can be difficult to see the overall pattern in the data.
e. The expression for 002 is simply 2, since leading zeros do not change the value of a number.
Help me solve this ASAP worth 25 points
202· 87/100 –100· 87/100 –2· 87/100
Answer:
87
Step-by-step explanation:
Answer:
87
Step-by-step explanation:
Solve the following system of equations using any method (substitution or elimination) SHOW YOUR WORK
y = -2x + 3
-4x + 2y = 8
-1/4 = -0.25 and 7/2 = 3.5
============================================
Work Shown:
Plug the 1st equation into the 2nd to solve for x.
-4x + 2y = 8
-4x + 2(-2x+3) = 8
-4x - 4x + 6 = 8
-8x + 6 = 8
-8x = 8-6
-8x = 2
x = 2/(-8)
x = -1/4
That's plugged into the other equation to determine y.
y = -2x + 3
y = -2(-1/4) + 3
y = 1/2 + 3
y = 1/2 + 6/2
y = (1+6)/2
y = 7/2
Please help!————————
Answer:
°F =(K − 273.15) × 9/5 + 32
Step-by-step explanation:
What values of x make the equation true?
(x - 2)2 – 16 = 0
A(x = -2 or x = 6
B(x = -6 or x = 2
C) x = -2 or x = -6
D) x = 6 or x = 2
|
Answer:
x =234567
Step-by-step explanation:
i took the test
help asap???
A box contains 5 black shirts, 8 blue shirts, 7 black pants, and 10 blue pants. Determine the probability of randomly selecting a black piece of clothing or a pair of pants. Use to explain your answer.
Answer:
the probability of picking a black clothing is 12/30 (6/15), and the probability of picking a pair of pants is 17/30
Step-by-step explanation:
First we have to figure out how much will it be out of, to do that you have add the amount of clothing there is (in this case 30).
Determine how many pairs of black clothing:
you must add up the amount of black clothes so 5+7=12, so there are 12 black clothing and 30 in total so the chance is 12/30 if you want it reduced it could be 6/15.
determine how many pairs of pants:
Now it's the same as last step add up all the pairs of pants the question has so 7+10=17. so there are 17 pants out of 30 pieces of clothes so 17/30
(sorry if this isnt a good explanation, I tried)
EASY! PLS ANSWER ASAP! 15 points!
pls show work
Answer:
[tex]-3 \frac{1}{6} *7\frac{5}{3}= -21\frac{5}{18}[/tex]
i think this is the answer
Crop researchers are interested in the productivity of a new variety of corn. They plant 123 plots with a randomly-selected seeds of the new variety, record the yield in bushels per acre, and find that a 99% confidence interval for the true mean yield is 118 to 130 bushels per acre.
a. What is the point estimate from this sample?
b. What is the margin of error?
c. interpret the 99% confidence interval 118 to 130 in the context of the problem
d. Interpret the confidence level of 99% in the context of the problem
a)The point estimate is (118 + 130) / 2 = 124 bushels per acre. b) the margin of error is (130 - 118) / 2 = 6 bushels per acre. c) It means that we are 99% confident that the true mean yield of the new variety of corn falls within this range. d) It indicates a high level of confidence in the estimate and provides a narrow range.
a. The point estimate from this sample is the midpoint of the confidence interval, which is the average of the upper and lower bounds. In this case, the point estimate is (118 + 130) / 2 = 124 bushels per acre.
b. The margin of error is the range around the point estimate that gives the uncertainty in the estimate. It is calculated by taking half the width of the confidence interval. In this case, the margin of error is (130 - 118) / 2 = 6 bushels per acre.
c. The 99% confidence interval of 118 to 130 bushels per acre means that we are 99% confident that the true mean yield of the new variety of corn falls within this range. In other words, if we were to repeat this experiment multiple times and calculate confidence intervals, approximately 99% of those intervals would contain the true mean yield of the new corn variety.
d. The confidence level of 99% means that if we were to repeat this sampling process multiple times and calculate confidence intervals, approximately 99% of those intervals would contain the true mean yield of the new corn variety. It indicates a high level of confidence in the estimate and provides a narrow range within which we can reasonably expect the true mean yield to fall.
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If 2a-b:2a+b=1:2, find the value of a:b.
Answer:
a:b = 3:2
Step-by-step explanation:
You are given:
2a - b 1
----------- = ------
2a + b 2
Then, through cross-multiplication, we get:
4a - 2b = 2a + b, or
2a = 3b
We want the value of the ratio a:b. To obtain this, divide both sides by b, which results in
2a
------- = 3
b
Finally, we divide both sides by 2, obtaining the desired ratio:
a:b = 3:2
2.1 = -0.6m
What is the solution to m?
Answer:
m=-3.5
Good Luck!!!
Answer:
Your answer to this is M=-3.5
Which function is nonlinear? Y=4x+9 y=7/x-6 y=x-6/7 15 points
Answer:
The answer is y = 7/x -6.
Step-by-step explanation:
A linear function is one where x and y are both to the first power. Using this knowledge, let's look at the options that we are given.
y = 4x + 9
In the above equation, both x and y are raised to the first power, so we know that this equation is linear.
y = 7/x - 6
In the above equation, y is raised to the first power, but x is not. Since x is in the denominator of a fraction, it actually has a power of -1, which makes this equation nonlinear.
y = x - 6/7
In the above equation, both x and y are raised to the first power, making the equation linear.
Therefore, the correct choice is y =7/x - 6.
Hope this helps!
C12 A set {₁,...,} is said to be an orthonormal set if each vector in the set is orthogonal to every other vector in the set, and each vector is a unit vector. (a) Prove that the standard basis for R³ is an orthonormal set. (b) Prove that any orthonormal set is a basis for the set it spans.
(a) The standard basis for R³, which consists of the vectors (1, 0, 0), (0, 1, 0), and (0, 0, 1), is an orthonormal set. Each vector is orthogonal to the others, and each vector has a length of 1.
(b) Any orthonormal set is a basis for the set it spans. This is because an orthonormal set is linearly independent, and any set of linearly independent vectors that spans a vector space forms a basis for that space.
(a) To prove that the standard basis for R³ is an orthonormal set, we need to show that each vector is orthogonal to every other vector and that each vector has a length of 1. In the case of the standard basis, the vectors (1, 0, 0), (0, 1, 0), and (0, 0, 1) are mutually orthogonal, meaning their dot products are zero. Additionally, each vector has a length of 1, as they are unit vectors. Therefore, the standard basis for R³ is an orthonormal set.
(b) To prove that any orthonormal set is a basis for the set it spans, we need to show that the set is linearly independent and spans the vector space. An orthonormal set is by definition linearly independent because the vectors are orthogonal to each other. This means that no vector in the set can be written as a linear combination of the others. Furthermore, since the vectors span the set they form, any vector in that set can be expressed as a linear combination of the vectors in the orthonormal set. Therefore, the orthonormal set forms a basis for the set it spans.
In conclusion, the standard basis for R³ is an orthonormal set, and any orthonormal set is a basis for the set it spans.
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If m<1 = 88 , find the m<3.
Answer:
use symbolab
Step-by-step explanation:
Solve the system of equations by the addition method.
8x- 7= -13
5x+ y= 0
Answer:
x=-3/4 y=15/4
Step-by-step explanation:
HELP ASAP GIVING TONS OF POINTS
Answer:
i think x=7
Step-by-step explanation
Answer:
x=7
Step-by-step explanation:
Kenny is making a small quilt for his new niece. His pattern calls for 4.5 yards of fabric, and he picks out a plaid fabric that costs $3.90 per yard. How much money does Kenny spend on the fabric?
Answer:
He spends $17.55 on the new fabric.
Step-by-step explanation:
First multiply 3.9 (cost of fabric per yard) by 4 (number of yards) to get 15.6. Then divide 3.9 by 2 (since we need half a yard) to get 1.95. Lastly add 15.6 plus 1.95 to get your answer, $17.55.
Answer:
Kenny spent $17.55 on the fabric.
Step-by-step explanation:
Since it costs $3.90 per yard, we need to multiply 3.90 and 4. The product is 15.60, but we still have half a yard left. Simply divide $3.90 by 2 to get the price of half a yard ($1.95). Now, add them together to get $17.55
A jeweler had a piece of silver that weighed 196.54 grams. she used 98.6 grams to make some jewelry. How many grams of silver did she have left?
Answer:
97.94
Step-by-step explanation:
Which of the following devices converts electrical energy to mechanical energy? a. A motor b. A combustion engine c. A furnace d. A generator e. A nuclear reactor QUESTION 8 When an antelope triples it speed a. The kinetic energy of the antelope is one-ninth of the value from before. b. The kinetic energy of the antelope is nine times greater than before. c. The kinetic energy of the antelope is three times greater than before. d. The kinetic energy of the antelope is the same as before. e. The kinetic energy of the antelope is one-third of the value from before. QUESTION 9 A 50-g bullet is traveling at 2.0 km/s in the horizontal direction when it pierces a wall that is 15 cm thick. When the bullet emerges from the other side is traveling at 1.0 km/s. What is the magnitude of the force that the wall applied to the bullet? Assume that the bullet does not lose any of its mass throughout its path. a. 5.0×10
5
N b. 6.0×10
5
N c. 3.0×10
5
N d. 4.0×10
5
N e. 2.0×10
5
(a) A motor is the device that converts electrical energy to mechanical energy. (b) The kinetic energy of the antelope is nine times greater than before.
(a)A motor is an electrical device that uses the principle of electromagnetic induction to convert electrical energy into mechanical energy. It consists of coils, magnets, and a rotating shaft. When an electric current is passed through the coils, it creates a magnetic field that interacts with the magnetic field of the permanent magnets, causing the shaft to rotate and thus converting electrical energy to mechanical energy. Motors are commonly used in various applications such as appliances, vehicles, and industrial machinery.
(b)The kinetic energy of an object is given by the equation KE = (1/2)mv^2, where KE represents kinetic energy, m represents mass, and v represents velocity. When an object's speed is tripled, the new kinetic energy is calculated by substituting the new velocity into the equation. Since the velocity is squared, tripling the velocity results in a nine-fold increase in the kinetic energy. Therefore, the kinetic energy of the antelope is nine times greater than before when its speed is tripled.
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What is the absolute value of -11
Answer:
11
Step-by-step explanation:
11
since it asks the absolute value of -11 it
will be 11 because in absolute value-for negatives it always positive.
Answer:
see attached
Step-by-step explanation:
if f(x, y) = xy, find the gradient vector ∇f(2, 7) and use it to find the tangent line to the level curve f(x, y) = 14 at the point (2, 7).
Equation of tangent line curve: 7x - y = 7
The function f(x, y) = xy . To find the gradient vector ∇f(2, 7) and use it to find the tangent line to the level curve f(x, y) = 14 at the point (2, 7).Gradient vector ∇f(2, 7)We need to find the partial derivative of the function with respect to x and y. Therefore, ∂f/∂x = y and ∂f/∂y = x∴ ∇f = (y)i + (x)j ∴ ∇f(2, 7) = (7)i + (2)j. Hence the gradient vector ∇f(2, 7) = (7)i + (2).j. Tangent line to the level curve f(x, y) = 14 at the point (2, 7)Level curve f(x, y) = 14 is f(x, y) = xy = 14. Therefore, y = 14/x. Then, ∂y/∂x = -14/x²We know that the slope of the tangent line to the level curve is the value of the gradient vector ∇f at the point (2, 7).Therefore, slope = ∇f(2, 7) = 7So, the slope of the tangent line is 7 and it passes through the point (2, 7).Therefore, the equation of the tangent line is given by y-7 = 7(x-2) or y = 7x - 7.
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A popular radio station, NPR, transmits a signal that is has a wavelength of 3.38 m. What is the frequency of this signal? Remember that the speed of light is 299,792,458 m.
Answer:
88,695,993.49HertzStep-by-step explanation:
The formula for calculating the velocity of wave is expressed as;
v = fλ
f is the frequency
λ is the wavelength
f = v/λ
Given
v = 299,792,458 m/s
λ = 3.38m
Substitute and get the frequency f
f = 299,792,458 /3.38
f = 88,695,993.49Hertz
Hence the frequency of the signal is 88,695,993.49Hertz
A pelt of 3104 people reveaved that of the respendents that were registered Republicans, 125 aporoved of their representative's job performance, 405 did not, and 733 tad no opinion. of the registered Democrats, 239 approved of their representative's job performance, 433 did not, and 74 had no opinion. of those registered as tindepensents, 117 approved, 107 cd not apprave, and 20 had no opinion, Of the remaining respondents, whe were not registered, 74 approved, 46 did not approve, and 26 had no cpinion. Represent these data in a 3×4 matrix.
Given that a pelt of 3104 people revealed that of the respondents that were registered Republicans, 125 approved of their representative's job performance, 405 did not, and 733 had no opinion. Also, of the registered Democrats, 239 approved of their representative's job performance, 433 did not, and 74 had no opinion.
Moreover, of those registered as independents, 117 approved, 107 did not approve, and 20 had no opinion. Lastly, of the remaining respondents, who were not registered, 74 approved, 46 did not approve, and 26 had no opinion.The required matrix can be obtained as follows:Republicans Democrats Independents Not registered Approved12523911774.Did not approve40543310746No opinion7337420Total126910031004
From the given information, we can observe that the pelt of 3104 people is divided into four categories. These categories are registered Republicans, registered Democrats, registered Independents, and the remaining respondents, who are not registered. Further, the data is given in terms of approval, disapproval, and no opinion.Let us tabulate the data for each of these categories. For registered Republicans, 125 people approved, 405 did not approve, and 733 had no opinion. Similarly, for registered Democrats, 239 people approved, 433 did not approve, and 74 had no opinion. Moreover, for registered Independents, 117 people approved, 107 did not approve, and 20 had no opinion. Lastly, for the remaining respondents who were not registered, 74 people approved, 46 did not approve, and 26 had no opinion.Using the above information, we can represent the data in the form of a matrix. The required matrix has four rows and three columns. The first column represents the category, and the remaining three columns represent approval, disapproval, and no opinion for that category. The final matrix is as follows:
RepublicansDemocratsIndependentsNot registeredApproved12523911774Did not approve40543310746No opinion7337420Total126910031004
Thus, we can conclude that a pelt of 3104 people was divided into four categories, and the data was given in terms of approval, disapproval, and no opinion. Using this information, we represented the data in the form of a 3 × 4 matrix, where the first column represents the category, and the remaining three columns represent approval, disapproval, and no opinion for that category.
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Rhonda decided to invest 15,000 of her retirement fund conservatively . She invested part of this money into one account that pays 4% simple interest and part into another account that pays 2% simple interest . Last year she earned 360$ in intrest . How much did she invest in each type of account ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Total Planned amount to invest = 15,000
Investment A:
Rate = 4% = 0.04
Principal = a
Investment B:
Rate = 2% = 0.02
Principal = b
Total interest earned = $360
Simple interest = principal * rate * time
Simple interest on A + simple interest on B = $360
a + b = 15,000 - - - (1)
(a * 0.04) + (b * 0.02) = 360
0.04a + 0.02b = 360 - - - (2)
a = 15000 - b
0.04(15000 - b) + 0.02b = 360
600 - 0.04b + 0.02b = 360
-0.02b = 360 - 600
-0.02b = - 240
b = 240 / 0.02
b = $12000
a = 15000 - b
a = 15000 - 12000
a = $3000
7. Find two consecutive even integers such that twice the smaller is
26 less than 3 times the larger.
Answer:
20 and 22Step-by-step explanation:
The difference between two consecutive even integers is 2
and even integer is always twice some integer
So:
2x ← smaller of numbers
2x+2 ← larger of numbers
2×2x ← twice the smaller of numbers
3(2x+2) ← three times the larger
3(2x+2)-26 ← 26 less than 3 times the larger
twice the smaller is 26 less than 3 times the larger:
3(2x+2) - 26 = 2×2x
6x + 6 - 26 = 4x
+20 +20
6x - 4x = 20
2x = 20
2x+2 = 20 + 2 = 22
Check: 2×20=40; 40+26 = 66; 66÷3=22
x=2y-z/4 solve for z
idk how to solve it even though I'm in algebra 1 lol :/
Answer:
z = − 4 x + 2 y
Step-by-step explanation:
hellooooooooo
41k = 2747
Answer:
B
Step-by-step explanation:
Use divison property of equality, divide both sides by 41 and you will get -67.
If a ball is thrown upward at 64 feet per second from a height of 8 feet, the height of the ball can be modeled by S = 8 + 64t-16t^2 feet, where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 68 feet? It takes___seconds for the ball to reach the height 68 feet.
The ball reaches a height of 68 feet after 1.25 seconds.
To determine the time it takes for the ball to reach a height of 68 feet, we can set the equation S = 68 and solve for t. Substituting the values into the equation S = 8 + 64t - 16t^2, we get 68 = 8 + 64t - 16t^2. Rearranging the equation and setting it equal to zero, we have 16t^2 - 64t + 60 = 0. Factoring this quadratic equation, we get (4t - 6)(4t - 10) = 0. Solving for t, we find two possible values: t = 1.5 and t = 2.5. However, since we are considering the upward motion of the ball, we take the positive value, which is t = 1.25 seconds.
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Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Just simply plus 3 of the equation then you can get the answer.
Hope my answer can help you
Please mark as brainliest!!
Convert 60 mi/hr to feet per second
Answer:
80
Step-by-step explanation:
the easy way to convert mi/hr to feet/s is multiply the speed value by 1.467
[tex]60 \times 1.467 = 88.02 = 88 \: (approx)[/tex]
