The surface area of the rectangular prism is 188 cm².
What is a rectangular prism?
A rectangular prism is a three-dimensional shape with six side faces (two top and bottom and four side faces). All side faces of the prism have a rectangular shape. A rectangular prism is also called a cuboid
What is surface area?
Surface area is the total area covered by all sides of a 3D object. The surface area of any object is the area or region occupied by the surface of the object. It is always measured in square units
According to the given information
The surface area of a rectangular prism can be calculated by using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the rectangular prism.
Substituting the given values in the formula, we get:
2(6 x 4) + 2(6 x 7) + 2(4 x 7) = 48 + 84 + 56 = 188 cm²
Therefore, the surface area of the rectangular prism is 188 cm².
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15
Which one of the following numbers is not written in scientific notation?
A 0.1 x 103
B) 3.2 x 103
2.1 x 102
D 5 x 102
Answer:
A is the correct answer
Step-by-step explanation:
2. Brice has $1200 in the bank. He will deposit $40 per week from his
paycheck.
Answer:
if the question is how much he'll have by the end of the week, the answer is $920
The equation that models the given sstatement is $1200 + 40x
Sum of valuesGiven the following parameters
Initial amount of money in bank = $1200
If he will deposit $40 per week from his paycheck,the amount of money he willhave at the end of x weekis given as:
Total = Iniital + 40x
Total .= $1200 + 40x
Hence the equation that models the given sstatement is $1200 + 40x
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What does the magnitude of the correlation coefficient indicate about the variables?
The magnitude of the correlation coefficient indicate the "strength" about the variables.
What is correlation?In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.
Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.
Some key features regrading correlation are-
Within finance, this correlation can be used to compare the movements of a stock to the movement of benchmark index, like the S&P 500.Correlation is inextricably linked to diversification, the idea that some types of risk can be minimized by investing in non-correlated assets.Correlation quantifies relationship but does not reveal whether x affects y or conversely whether the association is due to a third component.A scatterplot may be the best way to identify correlation, especially is if variables get a non-linear but nevertheless substantial connection.To know more about correlation, here
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1)Ellen wanted to buy the following items:
∙ A DVD player for $49.95 ∙ A DVD holder for $19.95 ∙ Personal stereo for $21.95
Does Ellen have enough money to buy all three items if he has $90.s
Answer:
\(\huge\boxed{\tt{ No.}}\)
Step-by-step explanation:
DVD player = $ 49.95
DVD Holder = $ 19.95
Personal Stereo = $ 21.95
Sum of Prices = $ 49.95 + $ 19.95 + $ 21.95 = $ 91.85
Ellan has $ 90 which is less than $ 91.85 which means that Ellan does not have enough to buy all three items.
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble? Choose 1 answer:
The probability best prediction for the number of times that Ellen will draw a blue marble is 200.
Number of blue marbles: 222
Number of red marbles: 333
Total number of marbles: 555
Probability of drawing a blue marble:
222/555
= 0.4
Number of times drawing a blue marble:
300300300 x 0.4
= 120,120,120
Rounded to nearest whole number:
120,120
Ellen has a bag with 333 red marbles and 222 blue marbles in it. She is going to randomly draw a marble from the bag 300300300 times, putting the marble back in the bag after each draw. The best prediction for the number of times that Ellen will draw a blue marble is 200. This prediction is based on the fact that there are more red marbles than blue marbles in the bag. To calculate this, we first need to determine the probability of drawing a blue marble; there are 222 blue marbles out of 555 total marbles, so the probability is
222/555
= 0.4.
Multiplying this by the total number of draws (300300300) gives us 120,120,120. Rounding this to the nearest whole number gives us our prediction of 200 times.
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How do I find the equation of a circle that goes through the points A(9,2), B(-1,12), and C(-9,-4)? (PLEASE SHOW YOUR WORK)
Answer:
the equivalent to a it's 19 and the coolant to be it's 1, 14 and for c it 3
Step-by-step explanation:
if you check the 9 * table it will give you the answer that I
What is 7536 to 1 significant figure
Answer:
8000
Step-by-step explanation:
Solve the equation. Be sure to check for extraneous solutions.
If the equation be \($5 e^x-3-9 e^{-x}=0$$\) then the value of x exists \($\ln \left(\frac{3+3 \sqrt{21}}{10}\right)$$\).
What is meant by extraneous solutions?A solution to an equation, for example, that develops during the process of solving the problem but is not a legitimate solution to the problem is referred to as an extraneous solution in mathematics. A missing solution is one that was a viable solution to the issue, but it vanished while the issue was being resolved.
Let the equation be \($5 e^x-3-9 e^{-x}=0$$\)
Apply exponent rules
\($5 e^x-3-9\left(e^x\right)^{-1}=0$$\)
Rewrite the equation with \($e^x=u$\)
\($5 u-3-9(u)^{-1}=0$$\)
Solve \($5 u-3-9 u^{-1}=0: \quad u=\frac{3+3 \sqrt{21}}{10}, u=\frac{3-3 \sqrt{21}}{10}$\)
\($u=\frac{3+3 \sqrt{21}}{10}, u=\frac{3-3 \sqrt{21}}{10}$$\)
Substitute back \($u=e^x$\), solve for x
\($e^x=\frac{3+3 \sqrt{21}}{10}: \quad x=\ln \left(\frac{3+3 \sqrt{21}}{10}\right)$\)
\($e^x=\frac{3-3 \sqrt{21}}{10}$\) : No Solution for \($x \in \mathbb{R}$\)
\($x=\ln \left(\frac{3+3 \sqrt{21}}{10}\right)$$\)
Therefore, the value of x exists \($\ln \left(\frac{3+3 \sqrt{21}}{10}\right)$$\).
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Find the missing terms in each geometric sequence.
1. 3, 12, 48 __, __
2. __, __, 32, 64, 128, ...
3. 120, 60, 30, __, __
4. 5, __, 20, 40, __, __
5. __, 4, 12, 36, __, __
Daniel bought 5 packs of crayons for $15.25. What is the cost of each pack if all packs cost the same?
Answer:
3.05
Step-by-step explanation:
15.25 divided by 5=
3.05
Answer:
3.05
Step-by-step explanation:
15.25 divided by 5= 3.05
The m<3 = (2x + 10) and m<6 = (3x-15) find the value of x, m<3 and M<6
9514 1404 393
Answer:
x = 25; ∠3 = ∠6 = 60°
Step-by-step explanation:
Angles 3 and 6 are alternate interior angles, so are congruent.
2x +10 = 3x -15
25 = x . . . . . . . . . . . add 15-2x
2x +10 = 2(25) +10 = 60
The measures of angles 3 and 6 are 60°.
Dipti works for 30 hours during weekdays and 2 hours on Sunday. On Sunday she is paid Rs.100 more per hour than what she is paid on weekdays. If she is paid Rs. c per hour during weekdays, which expression represents the TOTAL amount in rupees, she gets paid a week
I'm Saying 30C + 100
Step-by-step explanation:
describe a dataset where defining a confidence interval would be important for testing validity of data
The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.
A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.
Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.
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Please help me i need help
Answer:
sin is .6, Cos is .8 and tan is .75
Step-by-step explanation:
Ez
GE=5x+36 and GF=2x+51. What is the value of x? A=12 B=5 C=29 D=2
Answer:
x=5
Step-by-step explanation:
5x + 36 = 2x + 51
5x -2x = -36 + 51
3x = 15
15/3
x = 5
what is a quadrilateral symmertrical across both diagonals
A rhombus has reflectional symmetry over either of its diagonals.
Define quadrilateral?In geometry, a quadrilateral is a four-sided polygon with four edges and four corners. The word is derived from the Latin words quadri (a variant of four) and latus (a side).Quadrilaterals are shapes with four sides and four corners, or vertices, and two of the sides are often parallel, which means they are always the same distance apart no matter how long they stretch. Squares and rectangles are the most common quadrilaterals, but there are also trapezoids, parallelograms, and kites.A quadrilateral is a closed shape and type of polygon with four sides, four vertices, and four angles. It is formed by connecting four non-collinear points.The sum of the interior angles of quadrilaterals is always 360 degrees.To learn more about quadrilateral refer to:
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The table below represents different radios of a teaspoon of sugar to ounces of
Ice tea
Step-by-step explanation:
How are we supposed to answer theres no table
<3
based on the graph how many pieces of popcorn were eaten per minute in the first 4 minutes
Answer:
50
Step-by-step explanation:
intersection of 4 mins hits 50
Simple math problem giving brainly!
Answer:
can you type the question I cant see the picture
Step-by-step explanation:
what is a1 when sn=1330, an=486 and r=1.5
The value of the first term (a1) of the sequence is 64
How to determine the value of the first termThe defintions of the function are
Sum of n terms, sn = 1330The nth term, an = 486The common ratio, r = 1.5The nth term is calculated as
\(a(n) = ar^{n-1\)
For the sum, we have
\(S_n = \frac{a(r^n - 1)}{r-1}\)
Using the manual method, we have
Sum of n terms = 486/(1.5^5) + 486/(1.5^4) + 486/(1.5^3) + 486/2.25 + 486/1.5 + 486 = 1330
In the above there are 6 terms
So, we have
n = 6
And the first term is
a1 = 486/(1.5^5)
So, we have
a1 = 64
Hence, the first term is 64
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What equations for x=-3 is a possible solution?
Answer:
2,4,5
Step-by-step explanation:
Which linear equation represents a line parallel to the graph of y=7x/4
Answer: y=-4x/7
Step-by-step explanation:
opposite reciprocal
suppose we run an experiment where you toss a fair coin 6 times. what is the probability that you will toss exactly 2 heads? a. 0.0156 b. none of these c. 0.2344 d. 0.0938 e. 0.3750
Answer:
Step-by-step explanation:
Answer for this question is option (c) 0.2344
Approach:
The probability of getting a Head in single toss
x= 1/2
The probability of not getting a Head in single toss
y= 1 - 1/2 = 1/2
Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses
= ⁶C₂ * (1/2)² * (1/2)⁶⁻²
= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)
= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)
= 15/64
= 0.234374
= 0.2344 (Round off value)
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Given:
A fair coin is tossed 6 times.
To find:
Probability that you will toss exactly 2 heads.
Probability that you will get a head in a single toss is: Q = 1/2
Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2
We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)
Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²
Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)
Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)
Probability = 15 / 64
Probability = 0.234374
Probability = 0.2344
Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344
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I need three seperate SQL statements.
8.
Write an SQL statement to display the Pet ID, breed, and type
for all pets having a four-
character name starting with K.
9.
Write an SQL statement to displa
Sure, I'll provide you with three separate SQL statements. Here they are: Statement 1:Write an SQL statement to display the Pet ID, breed, and type for all pets having a four-character name starting with K. SELECT pet ID, breed, type FROM pets WHERE name LIKE 'K';
Statement 2:Write an SQL statement to display the weight of the heaviest pet. SELECT MAX(weight) AS Heaviest Pet FROM pets; Statement 3:Write an SQL statement to display the first name, last name, and age of the oldest customer. SELECT first Name, last Name, age FROM customers ORDER BY age DESC LIMIT 1;
Here they are: Statement 1:Write an SQL statement to display the Pet ID, breed, and type for all pets having a four-character name starting with K. SELECT pet ID, breed, type FROM pets WHERE name LIKE 'K';
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what percentage of milgram's participants regretted having participated in the study?
1% percentage of Milgram's participants regretted having participated in the study.
Milgram's Study and effect on Research EthicsAlong with being the most powerful study in understanding obedience, Milgram’s research is also one that is often second hand when discussing the ethical treatment of human subjects.
Even though no participants accepted any real shocks, Milgram accept considerable criticism in regard to his treatment of subjects, specifically, Diana Baumrind (1964), claimed Milgram generate unacceptable levels of stress in his participants.
Baumrind (1964) also stated that the lab is an unknown setting, therefore the regulation of conduct is ambiguous for the subject, who would be more prone to obedient behavior set side by set to other environmental conditions. Also, after disclose the deception, subjects may feel used, embarrassed, or distrustful of psychologists and future control figures in their lives (Baumrind, 1964).
Milgram (1964) responded to these criticisms by look over his participants after debriefing them and establish that 83.7% were glad to have participated and only 1.3% regretted it.
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Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
Answer:
$160.50
Step-by-step explanation:
You multiply $150 by .15 to find out what 15% of it (10.50)
You add the values to get $160.50
10.5 is the sales tax on clothing that costs $150
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sales tax is calculated as a percentage of the sales price.
sales tax is 7%
We need to find the the sales tax on clothing that costs $150
Convert 7% to the decimal value by dividing with 100.
7/100=0.07
Now multiply 0.07 with 150
0.07×150
Zero point zero seven times of one hundred and fifty.
10.5
Hence, 10.5 is the sales tax on clothing that costs $150
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determine the values of r for which the given differential equation has solutions of the form y=tr for t>0. give the answers in ascending order. t^2y''-10ty'+28y=0
The solution is of the form y = tr where r = 5/14 for the given differential equation.
Given differential equation:
t²y''- 10ty' + 28y = 0
Let's assume the solution is of the form y = tr. We need to find the values of r for which this form of the solution holds.Let's differentiate the solution y = tr with respect to t in order to solve for the first and second derivatives of y as follows:
y = tr.....(1)
First derivative of y w.r.t t is given by:
y' = r.....(2)
Second derivative of y w.r.t t is given by:
y'' = 0.....(3)
Substituting equations (1), (2), and (3) in the given differential equation, we get:
(t² * 0) - 10t * r + 28(tr) = 0
Simplifying, we get:
(28r - 10) * t = 0
Since t > 0, then the coefficient of t must be zero. Thus,
28r - 10 = 0
=> 28r = 10
=> r = 10/28 (reduced)
=> r = 5/14
So, the value of r is 5/14 when the given differential equation has solutions of the form y = tr for t > 0.
In summary, the solution is of the form y = tr where r = 5/14 for the given differential equation.
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Use the explicit formula to determine the 50th term in the sequence:
2,5,8,11,14,...
Answer:
149
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
a₅₀ = 2 + (49 × 3) = 2 + 147 = 149
13. A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S) = 0.31. They have also determined that the probability that someone has lung
cancer, given that they are a smoker is P(LCS) = 0.226. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer
P(SnLC)?
-0.08
-0.73
-0.25
-0.07
=======================================================
Work Shown:
S = person is a smokerLC = person has lung cancerP(S) = 0.31 = probability someone is a smokerP(LC given S) = probability someone has lung cancer, given they are a smokerP(LC given S) = 0.226Use that given info to say the following:
P(LC given S) = P(LC and S)/P(S)
P(LC and S) = P(LC given S)*P(S)
P(LC and S) = 0.31*0.226
P(LC and S) = 0.07006
P(LC and S) = 0.07
This problem is an example of using conditional probability.
I used "and" in place of the intersection symbol \(\cap\)
Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.
Suppose that in 2018 NCSSM used 60,000 sheets of paper in the printers. Due to the growing use of computers and the Sustainability Initiative, the use of paper has been decreasing since then at the rate of 2.25% each year. a) [3 pts) How much paper will be used next year (2023)? Write the equation(s) used for solving the problem. b) [4 pts] Assuming that the paper use continues to decrease at the same rate, how many total sheets of paper will be used from 2018 (including 2018) through the end of 2030? Show all work needed to solve the problem including the equation used for solving the problem.
The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.
a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.
b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.
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