Answer: Total area = 104 + 16√13
Explanation:
The total area is the sum of the area of each face. From the figure, the faces are
2 similar triangular faces
smaller rectangular face on the left
one rectangular face at the back
one rectangular face at the front
Considering the triangles,
area = 1/2 x base x height
From the diagram,
height = 6
base = 4
Area of 2 triangular faces = 2 x 1/2 x 4 x 6 = 24
Considering the smaller rectangular face on the left,
length = 8
width = 4
Area = 8 x 4 = 32
Considering the bigger rectangular face at the back,
length = 8
width = 6
Area = 8 x 6 = 48
Considering the bigger rectangular face at the front,
length = 8
We would find the width by applying the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
hypotenuse = width
one leg = 6
other leg = 4
width^2 = 6^2 + 4^2 = 52
width = √52 = 2√13
Area 8 x 2√13 = 16√13
Thus,
Total area = 24 + 32 + 48 + 16√13
Total area = 104 + 16√13
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
What is the volume of the composite figure
Answer:
291
Step-by-step explanation:
2*2*2=8*2=16
16+(11*5*5)=291
Answer:
291cm^3
Step-by-step explanation:
11×5×5=275cm^3
2×2×2=8cm^3
8cm^3 + 8cm^3= 16cm^3
275+16=291cm^3
You decided to throw a fair die four times.
Find the probabilities of getting
O Threes
1 Three
2 Threes
3 Threes
4 Threes
Answer:
If all you care about is whether you roll 2 or not, you get a Binomial distribution with an individual success probability 1/6. The probability of rolling 2 at least two times, is the same as the probability of not rolling 2 at zero or one time.
the answer is, 1 - bin(k=0, n=4, r=1/6) - bin(k=1, n=4, r=1/6). This evaluates to about 13%, just like your result (you just computed all three outcomes satisfying the proposition rather than the two that didn’t).
Step-by-step explanation:
The probabilities of getting :
O Threes is 0.48
1 Three is 0.095
2 Threes is 0.019
3 Threes is 5/1296
4 Threes is 1/1296
What is a binomial distribution ?When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.A popular probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters.It totals the number of trials when each trial has an equal chance of producing a particular result.the total out come = 6* 6* 6* 6 =1296
Find the probabilities of getting
O Threes =(5/6)^4 = 0.48
1 Three = 1/6*(5/6)^3 = 0.095
2 Threes = 1/6* 1/6* 5/6 *5/6 =0.019
3 Threes = 1/6* 1/6* 1/6 *5/6 = 5/1296
4 Threes =(1/6 )^4 =1/1296
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Georgia is interested in selling her company. Before seeking a buyer, she wants her income statements to show a trend of increasing gross profits.
Answer:
que esta since riheeeee
Determine whether each relation is a function. If so, provide the domain and range.
Answer:
Not a function
Step-by-step explanation:
A relation is considered a function if and only if every input value has exactly one output value.
The relation given does not satisfy the condition of a function. The input value, height = 160 cm, is related to different output values (age).
Therefore, the relation is not a function.
Please answer this question
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
im not sure how those two equal eachother, help?
\(\dfrac{\log_5 9}{ \log_5 25}\\\\\\=\dfrac{1}{\log_5 25} \log_5 9\\\\\\=\dfrac{1}{ \log_5 5^2} \log_5 9\\\\\\=\dfrac{1}{2 \log_5 5} \log_5 9~~~~~~~~~;[\log_a m^n =n \log_a m]\\ \\\\=\dfrac 1{2} \log_5 9~~~~~~~~~~~~~~~~;[ \log_a a = 1]\)
Answer:
Yes.
Step-by-step explanation:
\(\sf \dfrac{log_5 \ 9}{log_5 \ 25}=\dfrac{log_5 \ 9}{log_5 \ 5^2}\)
\(\boxed{log \ a^m=m*log \ a}\)
\(\sf =\dfrac{log_5 \ 9}{2*log_5 \ 5}\\\\ \boxed{Log_a \ a = 1}\\ = \dfrac{log_5 \ 9 }{2*1}\\\\=\dfrac{1}{2}log_5 \ 9\)
Find the surface area and volume of the solid given the figure below
Answer:
Volume - 582.8848178 cm cubed
Step-by-step explanation:
Volume - to fine the volume start with the cone...
The formula is 1/3 pi r^2h
so for this problem it would be
1/3 * 3.14 * 26.01 * 11.2
so your answer would be...
305.061213 cm cubed
Your next step is to find the volume of the dome. to do that the formula is (4/3 pi r^3)/2
so for this problem it would be
(4/3 * 3.14 * 132.651)/2
so your answer would be...
277.8236048 cm cubed
Finally you add together those 2 volumes and get 582.8848178 cm cubed as your final answer.
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
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Can someone pls help me I’m stuck on this problem and this is due tomorrow!
Answer:
I'm not sure if you are allowed to use improper fractions but that would be the only way to have an answer be greater than both of its factors if one of the factors has to be a fraction.
I would do something simple like:
\(\frac{2}{1} * 2 = 4\)
Step-by-step explanation:
Since both factors are greater than 1 the product will be greater than both the factors.
Answer:
Equation is below. See model attached.
6/4 x 3 = 18/4
Housing prices in a small town are normally distributed with a mean of
$147,000 and a standard deviation of $7,000. Use the empirical rule to
complete the following statement.
Approximately 95% of housing prices are between a low price of
$Ex: and a high price of $
Approximately 95% of housing prices are between a low price of $133,000 and a high price of $161,000.
What is defined by the Empirical Rule?These approximate percentages are defined by the Empirical Rule, for a normally distributed variable.
68% of the measures within one standard deviation of the mean.95% of the measures within two standard deviation of the mean.99.7% of the measures within three standard deviation of the mean.Hence the prices within two standard deviations of the mean are given as follows:
147,000 - 2 x 7,000 = 133,000.147,000 + 2 x 7,000 = 161,000.More can be learned about the Empirical Rule at brainly.com/question/10093236
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Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answer:
a c
Step-by-step explanation:
#7 find the answer with the offering 20% discount
Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.
What is a discount?A discount is an amount that reduces the price of a retail item.
Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.
Discount rate on offer = 20%
Discounting factor = 80% or 0.8 (100 - 20%)
Manufacturer's coupon off the price = $200
Let the price of the bureau = x
The price after the discount (discounted price) is given by D(x)
D(x) = 0.8x
The price after the coupon = C(x) = x - 200
The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200
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Complete Question:Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).
Types of operating system
Answer:
unary and binary
Step-by-step explanation:
Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the other hand, take two values, and include addition, subtraction, multiplication, division, and exponentiation.
Answer:
multiprocessing operating system
batch operating system
realtime operating system
multi tasking operating system
mobile operating system
network operating system
Ashley has finished 7/25 of her homework what percentage of the homework does Ashley still need to finish
Answer:
72 percent
Step-by-step explanation:
7/25, x 4 to get a fraction of 100
28/100
100 - 28 = 72
72 percent
Answer:
Ashley still needs to finish 72 percent of her homework
Step-by-step explanation:
Happy to help!! :D
Class: Algebra 2
I need help with these Natural Logarithms problems!!!!!
I will give lots of points!!!!
The solutions are: x = ln(2) for 2eˣ = 4, x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.
Solving equations using natural logarithmTo solve these equations using natural logarithm, we can use the following rules:
If a = eᵇ, then b = ln(a).If ln(aᵇ) = b ln(a).Using these rules, we can solve the given equations as follows:
2eˣ = 4
Divide both sides by 2 to get
eˣ = 2.
Take the natural logarithm of both sides to get
ln(eˣ) = ln(2).
Using rule 1 above, we can simplify ln(eˣ) to x, and we get
x = ln(2).
e⁴ˣ = 25
4x = ln(25).
Divide both sides by 4 to get
x = ln(25)/4.
eˣ = 72
Take the natural logarithm of both sides to get
x = ln(72).
e³ˣ = 124
Take the natural logarithm of both sides to get
3x = ln(124).
Divide both sides by 3 to get
x = ln(124)/3.
For the second set of equations, we use the same rule as above
So, we have
ln(x - 3) = 2
x - 3 = e²
x = e² + 3.
x ≈ 10.389.
Therefore, the solution is x ≈ 10.389.
ln(2t) = 4
2t = e⁴
t = 0.5 * e⁴
t ≈ 27.299.
Therefore, the solution is t ≈ 27.299.
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Consider the monthly payment formula M=Pr(1+r)^n/(1+r)^n-1. what is the name of the formula you get if you solve for P? what about if you solve for n? what special function do you need to use when solving for n?
WRITTEN RESPONSE QUESTION PLEASE ANSWER ASAP WILL AWARD BRAINLIEST.
Answer:
0.0061
Step-by-step drip check:
The name of the formula you get if you solve for P could be "Principal (loan amount)" "Term of the loan (in months)" or "Number of monthly payments"
Logarithms;
\(n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}\)
What is Monthly Payment Formula?Consider the monthly payment formula
\(M= \dfrac{Pr(1+r)^n}{(1+r)^n-1}\)
where: M = monthly payment.
P = principal loan amount.
r = interest rate per month (in decimal form).
n = term of the loan (in months).
If we will solve for P, the name of the formula is "Principal (loan amount)".
If we solve for n, the formula is "Term of the loan (in months)" or "Number of monthly payments".
When solving for n, we have to use logarithms:
\(M (1+r)^n-1=Pr(1+r)^n\\\\\dfrac{1}{ (1+r)^n} = 1 - \dfrac{Pr}{M} \\\\ln\dfrac{1}{ (1+r)^n} = ln[1 - \dfrac{Pr}{M} ]\\\\\\n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}\)
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Kyle submits a design for the contest, but his explanation was misplaced. How can figure A be mapped onto figure B? Can any other transformation be used to map figure A onto figure B
Answer:
A
Step-by-step explanation:
ita a bc i know its I did this before
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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The linear function f is defined by f(x)= cx + d, where c and d are constants. If f(50) = 27,000 and f(100)= 38,000, what is the value of c?
Answer:
c = 220Step-by-step explanation:
f(x) = cx + d
For the first equation
f(50) = 27,000
Substitute the value of x that's 50 into the expression
That's
50c + d = 27,000
For the second equation
f(100) = 38,000
Substitute the value of x that's 100 into the expression
We have
100c + d = 38,000
Subtract the first equation from the second one to eliminate d
That's
100c - 50c + d - d = 38,000 - 27,000
50c = 11,000
Divide both sides by 50
We have the final answer as
c = 220Hope this helps you
We perform an experiment that consists of independent trials where the probability of success is p = 0.25. (a) Let X be the number of successes in 800 trials. Using the appropriate approximation, calculate P{X > 220}.
Answer:
0.0482
Step-by-step explanation:
Given the following :
Probability of success : p(success) = 0.25
Number of trials = 800
X = number of successes
Calculate P(X > 220)
The problem above can be solved using the binomial probability formula:
P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)
To save computation time, we coild use the online binomial probability calculator :
P(X > 220) = 0.0482
The binomcdf function of a graphing calcukatur can also be used :
1 - binomcdf(800, 0.25, 220)
1 - (0.95177363855) = 0.04822
The sum of three consecutive natural numbers is 939, find the numbers. The three numbers in increasing order are _______, ________, and _________
Answer:
312, 313, and 314
Step-by-step explanation:
Since the three numbers are consecutive, each one is one larger than the last. Therefore, we can express them as x, (x+1), and (x+2). Therefore:
\(x+(x+1)+(x+2)=939 \\\\3x+3=939 \\\\3x=936\\\\x=312\\\\x+1=313\\\\x+2=314\)
Hope this helps!
The formula for converting from kelvins (K) to degrees Celsius (°C) is:
°C = K - 273
Using this formula, convert 400 K to degrees Celsius.
O A. 127°C
O B. 673°C
O C. -673°C
O D. -127°C
Answer:
answer is A. 127°C
hopes this helps you
Solve the triangle. Round your answers to the nearest tenth. 27 degrees
Sorry never mind! Got it! Can’t delete!
One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.
The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.
To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.
To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.
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Find the distance between the points (0, 6) and (3, 2).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
5.
Step-by-step explanation:
1. the formula of the required distance:
\(d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} ;\)
2. according to the formula above:
\(d=\sqrt{3^2+4^2}=5.\)
Use 2-3 sentences to explain, in your own words, the difference between an angle of elevation and an angle of depression. Use geometry vocabulary.
Leila has a deck of 10 cards numbered 1 through 10 . She is playing a game of chance.
This game is this: Leila chooses one card from the deck at random. She wins an amount of money equal to the value of the card if an even numbered card is drawn. She loses $6 if an odd numbered card is drawn.
(a) Find the expected value of playing the game.
(b) What can Leila expect in the long run, after playing the game many times?
(She replaces the card in the deck each time.)
Leila can expect to gain money.
Leila can expect to lose money.
Leila can expect to break even (neither gain nor lose money).
a. The expected value is $12
b. She is expected to win money
What is the expected value of playing the game?To find the expected value of playing the game, we need to calculate the average value of the winnings or losses.
(a) Expected Value:
The probability of drawing an even-numbered card is 5/10 (since there are 5 even-numbered cards out of 10), and the probability of drawing an odd-numbered card is also 5/10.
If Leila draws an even-numbered card, she wins an amount equal to the value of the card. So the expected value of winning is:
(5/10) * (2 + 4 + 6 + 8 + 10) = (5/10) * 30 = 15/10 = $15
If Leila draws an odd-numbered card, she loses $6. So the expected value of losing is:
(5/10) * (-6) = -3
To find the overall expected value, we subtract the expected value of losing from the expected value of winning:
Expected value = (15) + (-3) = 12
Therefore, the expected value of playing the game is $12
(b) In the long run, after playing the game many times, Leila can expect to lose money. Since the expected value is positive $12 , on average, she will win $12 per game.
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Michelle just purchased a homeowner's insurance policy for her new home that costs $0.37 per 5100. Her home is
worth $418,700. What is Michelle's annual homeowner's insurance premium? Show work
Describe the given translation: T(0, 7)
Answer:
ok t means some thing but zero and seven should be solved