Answers
On solving the provided question we can say that As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]
what is surface area ?The surface area of an object indicates the overall space occupied by its surface. The surface area of a three-dimensional form is the entire amount of space that surrounds it. The surface area of a three-dimensional form refers to its full surface area. By summing the areas of each face, the surface area of a cuboid with six rectangular faces may be computed. As an alternative, you may use the following formula to name the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total amount of space occupied by the surface of a three-dimensional object (a three-dimensional shape contains height, breadth, and depth).
The surface area of a rectangular prism is given by the formula:
SA = 2(lw + lh + wh),
where l, w, and h are the rectangular prism's length, width, and height.
SA = 2(3×9 + 3×6 + 9×6)
= 2(27 + 18 + 54)
= 2(99)
= 198 cm²
As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]
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Related Questions
The number of turns of a pencil sharpener needed to sharpen a brand W pencil is approximately Normally distributed with a mean of 4.6 and a standard deviation of 0.67. The number of turns needed to sharpen a brand H pencil is approximately Normally distributed with a mean of 5.2 and a standard deviation of 0.33. If 30 pencils of each brand are randomly selected and sharpened, what is the probability that the brand W pencils will have a higher mean number of turns needed to sharpen than brand H? approximately 0 0.0005 0.9995 approximately 1
Answers
The probability that the brand W pencils will have a higher mean number of turns needed to sharpen than brand H is approximately 0.0005.
How to find the the probability that the brand W pencils will have a higher mean number of turns needed to sharpen than brand HLet X be the number of turns needed to sharpen a brand W pencil and Y be the number of turns needed to sharpen a brand H pencil. Then, we are interested in finding P(X > Y), the probability that the mean number of turns needed to sharpen a brand W pencil is higher than the mean number of turns needed to sharpen a brand H pencil.
The difference between the means of X and Y is 4.6 - 5.2 = -0.6. The standard error of the difference between the means can be calculated as:
SE = sqrt[(0.67^2/30) + (0.33^2/30)] = 0.178
The test statistic is:
Z = (-0.6 - 0) / 0.178 = -3.37
Using a standard normal distribution table, the probability of getting a Z-score less than -3.37 is approximately 0.0005.
Therefore, the probability that the brand W pencils will have a higher mean number of turns needed to sharpen than brand H is approximately 0.0005.
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show your work 3.37 times 9
Answers
Answer:
[tex]3.37 \times 9 \\ = 30.33[/tex]
hope it helps
A researcher was interested in comparing the resting pulse rate of people who exercise regularly and people who do not exercise regularly. Independent simple random samples of 16 people ages 30-40 who do not exercise regularly and 12 people ages 30-40 who do exercise regularly were selected and the resting pulse rate of each person was measured. The summary statistics are as follows. Do Not Exercise X1=72.3 s1=10.3 n1=16 Do Exercise X2=69.0 s2=8.9 n2=12 At the 2.5% significance level, do the data provide sufficient evidence to conclude that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use the critical-value approach.
Answers
For a hypothesis testing by considering two samples related to rate of people who exercise and who do not exercise, the observed t-value < standard so, null hypothesis does not rejected and there is no evidence to support the claim.
We have a researcher who was interested in making a comparison of resting pulse rate of people who exercise regularly and who do not exercise regularly. There is two independent samples. In 1ˢᵗ sample, sample size, n₁= 16
Sample mean, [tex]\bar X_1[/tex] = 72.3
Standard deviations, s₁ = 10.3
In case of second sample, sample size, n₂ = 12
Sample mean, [tex] \bar X_2[/tex] = 69.0
Standard deviations, s₂ = 8.9
Level of significance = 2.5% = 0.25
Consider the null and alternative hypothesis for the test hypothesis are defined as [tex]H_0 : μ_1 =μ_2[/tex]
[tex]H_a : μ_1 >μ_2[/tex]
The test statistic : using t-test formula
[tex]t = \frac{ \bar X_1 - \bar X_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}[/tex]
[tex]= \frac{72.3- 69}{ \sqrt{ \frac {10.3^2}{16} + \frac{8.9^2}{12}}}[/tex]
= 0.91
Degree of freedom, df = n1 + n2 - 2
= 16 + 12 -2 = 26
Using the t-distribution table, the critical value for t(0.025, df = 26) is equals to the 2.06. Now, the observed t-value = 0.91 is less than 2.06 ( standard t value), so, we do not reject H₀ . Hence, no evidence to support the researcher claim.
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The wrights took out an 8000 dollar personal loan for some home improvement projects. They can pay off the loan in 2 years with monthly payments of $354.56, or in 5 years with monthly payments of $154.66.
Answers
The first option with 2-year term and higher monthly payments is better since it results in less total paid in the end.
What is personal loan?An individual borrower can receive a personal loan to utilise for personal, family, or household needs. The majority of personal loans are unsecured, which means they are not secured by property like a house or a car. Instead, the approval of a personal loan is determined by the borrower's creditworthiness and capacity to pay back the loan. The lender decides the loan amount, interest rate, and repayment conditions for a personal loan based on the borrower's credit score, income, and employment history, among other things. Personal loans are frequently used to pay for unforeseen bills, finance home improvements, and consolidate debt.
For the given plans of payment of 2 years and 5 years we have:
Option 1: 24 monthly payments of $354.56 = $8,534.56 total paid.
Option 2: 60 monthly payments of $154.66 = $9,279.60 total paid.
Comparing the total payment for the various years we have see that the plan with 2 years payment is better option.
Hence, the first option with 2-year term and higher monthly payments is better since it results in less total paid in the end.
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Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112. 96 for 138 miles. Carl’s cost for his truck was $142. 78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary. Y = 71 x minus 29. 82
y = 25 x minus 66
y = 0. 42 x + 71
y = 0. 42 x + 55
Answers
The equation that represents the cost of the rental truck is y = 0.42x + 71. The Option C is correct.
Which equation represents cost of rental truck?Let x be the number of miles driven
Let y be the cost of the rental truck.
We can set up a system of equations to represent the given information:
For Bob:
y = mx + b
112.96 = 138m + b
For Carl:
y = mx + b
142.78 = 209m + b
Solving for b in both equations, we get:
b = 112.96 - 138m
b = 142.78 - 209m
Setting the two expressions for b equal to each other, we get:
112.96 - 138m = 142.78 - 209m
209m - 138m = 142.78 - 112.96
71 m = 29.82
m = 0.42
Substituting m into equation for b:
b = 71.
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PLEASE HELP ASAP‼️Solve the triangle MNO (find m
m and n).
n =
M
34°
12 cm
m=
N
4
Answers
First, we can find m by using the following formula:
sin(m)/12 = sin(34)/4
Solving for m, we get:
m = sin^-1(12sin(34)/4) ≈ 56.4°
Next, we can find n by using the law of sines again:
sin(n)/12 = sin(180-34-m)/sin(34)
Solving for n, we get:
n = sin^-1(12sin(112)/sin(34)) ≈ 87.6°
Therefore, m ≈ 56.4° and n ≈ 87.6°.
Formula,example and definetion probability of simple event
Answers
The probability of a simple event is the likelihood or chance of that event occurring. The formula is P(A) = Number of favorable outcomes / Total number of possible outcomes.
It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The formula for the probability of a simple event is:
P(A) = Number of favorable outcomes / Total number of possible outcomes
For example, if we toss a fair coin, the probability of getting heads is:
P(Heads) = 1 (number of favorable outcomes) / 2 (total number of possible outcomes)
So, the probability of getting heads is 0.5 or 50%.
A simple event is an event that has only one possible outcome. For instance, rolling a specific number on a dice, drawing a specific card from a deck of cards, or picking a specific colored ball from a bag of balls are all examples of simple events.
In summary, the probability of a simple event is the ratio of the number of ways the event can happen to the total number of possible outcomes.
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What is the answer to #14 the picture is provided. MAKE SURE the radius of your clock is 2 inches.
Answers
Answer:
see attached
Step-by-step explanation:
You want a clock face with an angle of 240° between the hour and minute hands.
240°There are 22 possible locations for the minute hand such that the long arc between the hour and minute hands is 240°. The two of these that do not involve fractions of a second are 4:00 and 8:00.
The next occurrence will be 21 minutes 49 1/11 seconds later. And the one after that will be 43 minutes 38 2/11 seconds later, or 1 hour 5 minutes and 27 3/11 seconds after the first occurrence of the pair.
ImageA clock face illustrating 8:00 is attached. You may need to scale it to your desired radius.
You can set your compass to 2" and draw the clock face circle. The points for 12 and 8 can be located by using the 10:00 position as the center of arcs with the same radius. Where those arcs intersect the original circle are the locations of 12 and 8.
A pair of fair dice is rolled. What is the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7?
Answers
The probability that the landing uppermost of the first die is 6 given the conditions as required is; 1/36.
What is the probability given the requirements as stated?It follows from the task content that; the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7 is to be determined.
This implies that the first die gives 6 and the second die gives 1 so that the required probability is;
P = (1/6) × (1/6)
P = 1 / 36.
Ultimately, the required probability as described is; 1/36.
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Answer the questions below.
Answers
I hope this helps you .
The words per and each are associated with ___________________
Answers
Answer:
The words "per" and "each" are associated with quantity and division. They are used to express the ratio or rate of one thing in relation to another. For example, "The cost is $10 per pound" or "Each student receives one book."
Answer:
The words per and each are associated with Division.
Step-by-step explanation:
Think of the words "percent". We can divide the word into two easier terms, "per" and "cent". Per means for each. Dividing also means for each.
I'm trying my best without an answer key to help me see what you want to be answered, let me know if there is something specific you would like to know. :)
-a friendly 8th grader :D
Dave is buying popcorn and sodas for his son and his five friends that he brings to the movies (Six kids total). The needs to buy at least one of the two items for each of the six. Popcorn costs $2. 50 per bag and sodas cost $4. 00 each. Dave can spend at most $40. Lets represent the number of sodas he buys and p represent the number of bags of popcorn he buys
Answers
The system of equations that models this scenario is:
p + s ≥ 62.50p + 4.00s ≤ 40How can it be modeled using a system of equations?Let p be the number of bags of popcorn.
Let s be the number of sodas Dave buys.
Since Dave needs to buy at least one of each item for all six kids, we have:
p + s = 6 -----(1)
Given:
The cost of a bag of popcorn is $2.50.
The cost of a soda is $4.00.
The total cost of Dave's purchase can be expressed as:
2.50p + 4.00s = C -----(2) where the C is the total cost of Dave's purchase.
Since Dave can spend at most $40, we have:
2.50p + 4.00s ≤ 40 -----(3).
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5x+3(8-1)=30 help me lol
Answers
Answer:
1.8
Step-by-step explanation:
5x+3(8-1)=30
5x+24-3=30
5x+21=30
5x=9
x=9/5 or 1 4/5 or 1.8
Solve for x. Type your answer as a number in the blank without "x=".
Answers
The value of x is given as follows:
x = 5.
What is the triangle midsegment theorem?The midsegment of a triangle is the line segment that connects the midpoint of two sides of the triangle. The Triangle Midsegment Theorem states that the midsegment of a triangle is parallel to the third side of the triangle, and its length is equal to half the length of the third side.
Thus the equation relating the lengths in this problem is given as follows:
3x + 11 = 2(x + 8)
3x + 11 = 2x + 16
x = 5.
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Which is a better buy, 8oz of steak for
$8.50 or 14 oz of steak for $16.00?
Answers
Answer: The 8 oz steak is a better buy as it has a lower unit price at $1.06 per ounce compared to $1.14 per ounce for the 14 oz steak.
Step-by-step explanation: To determine which is a better buy, we can calculate the unit price of each steak.
The unit price is the price per ounce of steak.
For the 8 oz steak:
Unit price = price ÷ quantity = $8.50 ÷ 8 = $1.06 per ounce
For the 14 oz steak:
Unit price = price ÷ quantity = $16.00 ÷ 14 = $1.14 per ounce
Therefore, the 8 oz steak is a better buy as it has a lower unit price at $1.06 per ounce compared to $1.14 per ounce for the 14 oz steak.
Calculate the GDP if the consumers of a country spent R220 billion the government spends R50 billion and businesses spend R100 billion exports totaled R25 billion and imports R32 billion (show all calculations)
Answers
The GDP of the hypothetical country in this case is R363 billion.
To calculate GDP, we use the following formula:
GDP = C + G + I + NX
where:
C = consumer spending
G = government spending
I = business investment
NX = net exports (exports - imports)
Now, let's plug in the given values into the formula and calculate the GDP:
GDP = R220 billion (C) + R50 billion (G) + R100 billion (I) + (R25 billion - R32 billion) (NX)
GDP = R220 billion + R50 billion + R100 billion - R7 billion
GDP = R363 billion
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two dice are rolled sequentially. what is the probability that the first die shows six and the other die shows an odd number?
Answers
Step-by-step explanation:
probability that the first die shows six = 1/6
probability that the other die shows an odd number = 1/2
missing number in this sequence 512;128;?;8;2
Answers
Answer:
32
Step-by-step explanation:
512 / 4 = 128
128 / 4 = 32
32 / 4 = 8
8 / 4 = 2
Measure the scissors to the nearest 1/8 inch (look at pic)
A. 3 inches
B. 2 /78 inches
C. 2 5/8 inches
D. 2 6/8 inches
Answers
The minimum number of cuts John needs to make to cut a 5-inch piece of paper using scissors with blades that are 4 and 3/8 inches long is either one or two
To determine the minimum number of cuts John needs to make to cut a 5-inch piece of paper using scissors with blades that are 4 and 3/8 inches long:
Subtract the length of the blades from the desired length of the paper:
5 - 4 3/8 = 1/8 inch
Therefore, the minimum number of cuts John needs to make are 4 and 3/8 inches long is either one or two, depending on whether he chooses to fold the paper or not.
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--The complete Question is, John needs to cut a piece of paper using a pair of scissors. He measures the scissors to the nearest 1/8 inch and finds that the length of the blades is 4 and 3/8 inches. If John wants to cut a piece of paper that is exactly 5 inches long, what is the minimum number of cuts he needs to make? --
what proportion of the poplation has a favorite social network
Answers
Answer:
Step-by-step explanation:
Social media usage is one of the most popular online activities and in 2021, 82 percent of the population in the United States had a social networking profile, representing a two percent increase from the 80 percent usage reach in the previous year.
Social media usage is one of the most popular online activities, and in 2021, 82 percent of the population in the United States had a social networking profile, marking a two percent rise over the previous year's usage reach of 80 percent.
Brainlist?
at 3:00 pm, andy began walking directly south from point a at a rate of 4 mi/h. at the same time, bill started walking directly west from point b to point a, at a rate of 5 mi/h. the distance between a and b is 9 miles. assume that both of them stop walking when bill reaches point a. at what time will be distance between andy and bill be minimized? round your answer to the nearest minute.
Answers
At 4:00 PM, the distance between Andy and Bill is minimal, about 6.04 miles apart.
Pythagorean theorem is used to find the distance between Andy and Bill at any point in time.
Suppose 3 t hours have passed.
12:00 am.
At that point, Andy moved a remove of 4 miles south from point A, and Charge moved a remove of 5 miles west of point B.
The separation between Andy and Charge is given by
[tex]D(t) = sqrt[(9 - 5t)^2 + (4t)^2][/tex]
To find the time when the distance between Andy and Bill is minimal, we need to find the value of t that minimizes D(t).
To do this, find the derivative of D(t) with respect to t, set it to zero, and solve for t.
dD/dt = (1/2)[2(9 - 5t)(-5) + 2(4t)*(4)]
= -45 + 16t
Setting dD/dt = 0 gives: -45 + 16t = 0
Solving for t gives: t = 45/16 ≈ 2.81 hours
Therefore, the time at which the distance between Andy and Bill is minimal is 3.
48 hours (rounded to the nearest minute).
Note that at this point Andy has traveled a remove of 42.81 = 11.24 miles south of point A, and Charge has traveled a remove of 52.81 = 14.05 miles west of point B.
The separations between them are:
[tex]D(2.81) = sqrt[(9 - 52.81)^2 + (42.81)^2] ≈ 6.04 miles[/tex]
therefore, At 4:00 PM, the distance between Andy and Bill is minimal, about 6.04 miles apart.
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Find the set of solutions for each of the absolute value inequalities: |2-5m/2|<14
Answers
The solution of the expression is -24/5 < m < 32/5
How to find the solutionsTo solve the absolute value inequality |2 - 5m/2| < 14, we remove the absolute value symbol resulting to two cases which is solved below
Case 1:
2 - 5m/2 < 14
Multiplying both sides by 2
4 - 5m < 28
Subtracting 4 from both sides
-5m < 24
Dividing both sides by -5 and rearranging the equation
m > -24/5
Case 2
2 - 5m/2 < -14
subtracting 2 to both sides
5m/2 < -16
Dividing both sides by -5/2
m < 32/5
Combining the equations
-24/5 < m < 32/5
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I need help asap
Solve the equation for x.
2/3x - 1/9x +5=20
X=_______
Answers
Answer:
The answer for x is 27
Step-by-step explanation:
2x/3-1x/9+5=20
2x/3-x/9=20-5
6x-x/9=15
5x/9=15
multiply both sides by 9
5x/9×9=15×9
5x=15×9
divide both sides by 5
5x/5=15×9/5
x=3×9
x=27
Answer:
Step-by-step explanation:
The population of wild tigers in Nepal can be modeled by the equation LaTeX: p=130\left(2\right)^x
p
=
130
(
2
)
x
, where x is the number of years since 2009.
Part A
Assuming the population growth rate continues, an equation that represents the number of years from 2009 it will take for the population of wild tigers in Nepal to reach 1,000 can be expressed as LaTeX: x=\log_ba
x
=
log
a
b
, where a and b are >0. What are the values of a and b?
Part B
Approximately how many years from 2009 will it take for the population of wild tigers in Nepal to reach 1,000? Round your answer to the nearest whole number
Answers
Part A
According to the equation, the values of a is a = 2009 + f(a) and b is b = 800 + f(b).
Part B
Approximately it takes 8 years from 2009 for the population of wild tigers in Nepal to reach 800.
To find these values, we need to set the equation for the population of wild tigers equal to 800 and solve for x. The equation becomes 800 = 121(2)ˣ.
Taking the logarithm of both sides, we get
=> log(800) = log(121) + x log(2).
Solving for x, we get
=> x = (log(800) - log(121))/log(2).
Moving on to the second part of the problem, we are asked to determine approximately how many years from 2009 it will take for the population of wild tigers in Nepal to reach 800. Using the equation we derived in Part A, we can plug in values of a and use trial and error to find the answer. However, this can be time-consuming.
Instead, we can use a calculator to get an approximate answer. Plugging in the values for log(800) and log(121) into the equation we derived in Part A, we get x = 7.75.
Therefore, it will take approximately 8 years from 2009 for the population of wild tigers in Nepal to reach 800.
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a. What are the coordinates of the reflected point?
b. Reflect the coordinate points from 3(a) over the y-axis
What are the coordinates of the reflected point?
Answers
Answer: Part A is (-9, 13) Part B is (9, 13)
Step-by-step explanation:
What is the equation of this circle in general form?
Responses
x2+y2−2x−6y−26=0
x squared plus y squared minus 2 x minus 6 y minus 26 equals 0
x2+y2+2x+6y−26=0
x squared plus y squared plus 2 x plus 6 y minus 26 equals 0
x² + y² + 2x + 6y + 4 = 0
x, ² +, y, ² + 2, x, + 6, y, + 4 = 0
x2+y2−2x−6y+4=0
x squared plus y squared minus 2 x minus 6 y plus 4 equals 0
Answers
The equation of this circle in general form is: (x - 1)^2 + (y - 3)^2 = 36
How to find the equation of the circle in general formTo find the equation of a circle in general form, we need to complete the square for both x and y terms.
x^2 + y^2 - 2x - 6y - 26 = 0
First, we will complete the square for x terms:
x^2 - 2x + y^2 - 6y - 26 = 0
(x - 1)^2 - 1 + y^2 - 6y - 26 = 0
(x - 1)^2 + y^2 = 27
Now, we will complete the square for y terms:
(x - 1)^2 + (y - 3)^2 = 36
Therefore, the equation of this circle in general form is: (x - 1)^2 + (y - 3)^2 = 36
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Answer:
x2+y2−2x−6y−26=0
Step-by-step explanation:
Just took the test.
What is the value of x in the right triangle below?
Show your work and round your answer to the nearest hundredth
Answers
Answer:
9
Step-by-step explanation:
Based on the Pythagorean theorem, A equals the square root of C squared minus B squared. By plugging in these numbers, you get 9.
Word Problem: The company For The Ocean has already cleared the earth's oceans of 125 million pounds of trash. They are committed to picking up exactly 550 pounds of trash per day. Write an equation to represent total "p" pounds of trash removed as a function of number of "d" days passed.
Answers
p = 550d + 125,000,000
Find the surface area. Round your answer to the nearest tenth if necessary. Just enter the number, not the unit.
Answers
The total surface area of the prism is 177.2 m².
What is the surface area of the prism?The total surface area of the prism is calculated by applying the formula for total surface area of prism.
S.A = bh + (s₁ + s₂ + s₃)L
where;
b is the base of the triangleh is the height of the triangles₁ is the first triangular faces₂ is the second triangular faces₃ is the third triangular faceL is the length of the prismThe surface area of the prism is calculated as;
S.A = 4 m (3 m) + (3.8 m + 4 m + 4 m) x 14 m
S.A = 177.2 m²
Thus, the surface area of the prism is calculated using the formula for surface of right prism.
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The graph shows f(x). The absolute value function g(x) is described in the table.
The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 1, a point at negative 1 comma 2, and a point at 1 comma 2.
x g(x)
−4 0
−2 −2
0 −4
2 −2
4 0
If g(x) = f(x) + k, what is the value of k?
k = −5
k = −4
k = 4
k = 5
Answers
The value of k given the absolute value functions is (a) k = -5
Calculating the value of k
Given that
graph = f(x)
table = g(x)
Since the vertex of the function f(x) is at (0,1), we have f(0) = 1.
Also, from the given table, we have g(0) = -4.
Therefore, if g(x) = f(x) + k, we must have g(0) = f(0) + k = 1 + k.
But we also know that g(0) = -4. Thus, we have:
1 + k = -4
Solving for k, we get:
k = -5
Therefore, the value of k is -5.
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