Using the surface area of a rectangular prism, it is found that she will need 366 square inches of wrapping paper to wrap the box.
He wraps the box with paper outside, hence, the amount needed is the surface area.
Surface area:The surface area of a rectangular prism of length l, width w and height h is given by:
\(S = 2(lw + lh + wh)\)
In this problem, the dimensions of 11 inches long, 8 inches wide, and 5 inches tall mean that \(l = 11, w = 8, h = 5\). Hence:
\(S = 2[11(8) + 11(5) + 8(5)] = 366\)
She will need 366 square inches of wrapping paper to wrap the box.
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Which table does NOT represent a linear function?
Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
x values: -1, 0, 1, 2- we add 1 each time
y values: 8, 5, 2, -1- we subtract 3 each time
\(\rule{200}{2}\)
Let's try the next one:
x values: -1, 0, 1, 2- we add 1 each time
y values: 5, 10, 15, 20- we add 5 each time
\(\rule{200}{2}\)
Let's try the third one:
x values: -1, 0, 1, 2- we add 1 each timey values: 15, 18, 20, 21- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
x values: -1, 0, 1, 2- we add 1 each time
y values: 1, 2, 3, 4- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Somebody answer this for me
your right its that one
Answer:
its d and e
Step-by-step explanation:
For every 9 customers, the chef prepares 2 loaves of bread.
How much loaf is prepared for 1 customer?
Answer:
0.22
Step-by-step explanation:
2/9 = 0.22
please finish this equation and write the answer
Given:
The equation is:
\(2540=\dfrac{22}{7}r^2(20)\)
To find:
The solution for the given equation.
Solution:
We have,
\(2540=\dfrac{22}{7}r^2(20)\)
It can be written as:
\(\dfrac{2540\times 7}{22\times 20}=r^2\)
\(\dfrac{17780}{440}=r^2\)
\(\dfrac{889}{22}=r^2\)
Taking square root on both sides, we get
\(\sqrt{\dfrac{889}{22}}=r\) [Radius cannot be negative]
\(r=6.3568145\)
\(r\approx 6.36\)
Therefore, the value of r is about 6.36 cm.
Unpolarized light of intensity 65. W /m ^2
is incident on a stack of two ideal polarizers. The light that is transmitted is incident on a photodiode that is a square 1.0-cm on a side. This photodiode absorbs 10. mJ in 4.0 s of exposure time. Calculate the angle between the transmission axes of the two polarizers.
To calculate the angle between the transmission axes of the two polarizers, we need to use the equation for the intensity of transmitted light through two polarizers:
I = I0 * cos^2(θ)
Where:
I is the intensity of transmitted light,
I0 is the initial intensity of unpolarized light incident on the first polarizer,
θ is the angle between the transmission axes of the two polarizers.
Given:
I0 = 65 W/m^2 (initial intensity of unpolarized light)
A = (1.0 cm)^2 (area of the photodiode)
E = 10 mJ (energy absorbed by the photodiode)
t = 4.0 s (exposure time)
To calculate the intensity I, we can use the formula:
I = E / (A * t)
Plugging in the given values:
I = (10 mJ) / [(1.0 cm)^2 * 4.0 s]
= (10 × 10^(-3)) / [(1.0 × 10^(-2))^2 * 4.0]
= 2.5 × 10^(3) / 4.0
= 625 W/m^2
Now, we can equate the transmitted intensity I to the initial intensity I0 * cos^2(θ):
625 = 65 * cos^2(θ)
Dividing both sides of the equation by 65:
cos^2(θ) = 625 / 65
cos^2(θ) = 9.615
Taking the square root of both sides to solve for cos(θ):
cos(θ) = √(9.615)
θ ≈ arccos(√9.615)
θ ≈ 27.6 degrees
Therefore, the angle between the transmission axes of the two polarizers is approximately 27.6 degrees.
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Larry and Jack are playing a game of rock-paper-scissors. The probability that Larry will win two times in a row is. Using this probability, determine if the event of Larry winning the first game and the second game was independent, dependent, both, or neither.
The event of Larry winning the first game and the second game was dependent since it was stated that he won two in a row.
How to depict the probability?It should be noted that dependent events are the events that depend on what happened before.
In this event, the first game is being considered in this situation. Therefore, the event of Larry winning the first game and the second game is dependent.
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What are the zeros of the polynomial function?
Select all correct zeros of each function.
The zeroes of the polynomial functions are listed below:
Roots: 2, 3, - 1. Roots: 3, - 2 (multiplicity 2), 1 Roots: 0 (multiplicity 3), 2, - 3.How to determine the zeros of a polynomial
Polynomials are algebraic constructions whose form is summarized by the following sum:
p(x) = ∑ cₙ · xⁿ, for n ∈ {0, 1, ..., m}
An alternative form to describe polynomials is using products of binomials of the form (x - r), where r is a root (zero) of the polynomial. The root of the polynomial is a value such that the result of the expression is equal to zero.
Then, we proceed to find the zeros of each polynomial function:
1) f(x) = 2 · x · (3 - x) · (x + 1). Roots: 2, 3, - 1.
2) f(x) = 2 · (x - 3) · (x + 2)² · (x - 1). Roots: 3, - 2 (multiplicity 2), 1
3) f(x) = x³ · (x - 2) · (x + 3). Roots: 0 (multiplicity 3), 2, - 3.
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What is the probability of the normal random variable being
larger than 0.7 in the standard normal distribution with mean 0 and
standard deviation of 1?
The probability of a standard normal random variable being larger than 0.7 is approximately 0.2420, or 24.20%.
To find the probability of a standard normal random variable being larger than a specific value, we can use the cumulative distribution function (CDF) of the standard normal distribution.
In this case, we want to find P(Z > 0.7), where Z is a standard normal random variable with mean 0 and standard deviation 1.
Using a standard normal distribution table or a calculator with the CDF function, we can find the probability associated with the value 0.7.
P(Z > 0.7) ≈ 1 - P(Z ≤ 0.7)
Looking up the value of 0.7 in the standard normal distribution table, we find that the corresponding cumulative probability is approximately 0.7580.
Therefore, P(Z > 0.7) ≈ 1 - 0.7580 ≈ 0.2420
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You have to find f(5)
Answer:
f(5) = -2
Step-by-step explanation:
Hello! So, when we have f(5), that is in the form of f(x). That means that our x = 5. Another thing to note is that f(x) is equivalent to our y-coordinate: the x-coordinate is the x value in the equation and the value is the f(x) in the equation.
Now we need to locate where x = 5 on the graph. When you find that, you need to see what point falls on x = 5. That points y-coordinate is your answer.
So if we look at x=5, the point (5, -2) falls on it. So f(5) = -2.
Let me know if you have any questions.
Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm² and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.
Answer:60.3cm^3
Step-by-step explanation:
i got it wrong and that was the answer lol
At west view high school, every freshman (fr) and sophomore (so) has either math (m), science (s), english (e), or history (h) as the first class of the day. The two-way table shows the distribution of students by first class and grade level. Which expression represents the conditional probability that a randomly selected freshman has english as the first class of the day? p( ) what is the probability that a randomly selected freshman has english as the first class of the day?.
The probability that a randomly selected freshman has English as the first class of the day is 1/5 or 20%.
The expression that represents the conditional probability that a randomly selected freshman has English as the first class of the day is: p(E|Fr), where E represents English and Fr represents freshman.
To calculate this probability, we need to use the information from the two-way table. The total number of freshmen is given in the table as 150. The number of freshmen with English as their first class is 30.
So, the probability that a randomly selected freshman has English as the first class of the day can be calculated as:
p(E|Fr) = Number of freshmen with English as first class / Total number of freshmen
p(E|Fr) = 30 / 150
Simplifying the expression:
p(E|Fr) = 1/5
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
y=4x, y=5x2
Answer:
Step-by-step explanation:
y=0,16/5
I need help with this please
Answer: It only has one pair of parallel sides.
Step-by-step explanation:
To be a parallelogram, you need two pairs of parallel sides and a trapezoid only has one.
HELP! What is the ordered pair that is a reflection over the x-axis for the point shown?
(5, 6)
(−5, −6)
(6, 5)
(−6, −5)
Helen earns $22.60 per hour as grocery clerk. She receives time-and-a-half pay for any hours she works over 40 in a week. What are her wages in a week in which sheworked 48 hours?$1,098.44$1,175.20$1,186.54$1,200.35None of these choices are correct.
Answer:
Her wages in a week, if she worked 48 hours, is;
\(\text{ \$}1,175.20\)Explanation:
Given that Helen earns $22.60 per hour as a grocery clerk and She receives time-and-a-half pay for any hours she works over 40 in a week.
\(\begin{gathered} \text{rate = \$22.60/hour} \\ \text{Overtime rate = 1.5(\$22.60) /hour} \end{gathered}\)Given that she worked 48 hours;
\(\begin{gathered} \text{normal time = 40 hours} \\ \text{Overtime = 48 - 40 = 8 hours} \end{gathered}\)So, her wages in a week will then be;
\(\begin{gathered} T=\text{ \$22.60(40) + \$22.60(1.5)(8)} \\ T=\text{ \$904 + \$271.20} \\ T=\text{ \$}1,175.20 \end{gathered}\)Therefore, her wages in a week, if she worked 48 hours, is;
\(\text{ \$}1,175.20\)a rectangle has a perimeter of 57.6 yards and a height of 16.9 yards. what is the length of the base?
The length of the base of the rectangle is 11.9 yards if it has a perimeter of 57.6 yards.
We can determine the length of the base of the given rectangle by using the following for the perimeter as follows;
P = 2 ( L + W )
Here L represents length, W represents width and P represents the perimeter.
Since the height of the rectangle is 16.9 yards and we have to find the length of the base, the height can be considered to be the width of the rectangle. Therefore;
57.6 = 2 ( L + 16.9 )
57.6 = 2L + 33.8
2L = 57.6 - 33.8
2L = 23.8
L = 23.8 ÷ 2
L = 11.9
Therefore; the length of the base is calculated to be 11.9 yards.
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calculate averages A-C, thanks.
EX#1 - Calculate the average of the following: a- 10, 20, 30 b- 5, 10, 15, 20 C-1, 5, 10, 15, 20
Answer:
A = 20
B = 12.5
C = 10.2
Step-by-step explanation:
A = (10 + 20 + 30)/3 = 20
B = (5 + 10 + 15 + 20) = 12.5
C = (1 + 5 + 10 + 15 + 20) = 10.2
Which situations would be represented with a positive number? Check all that apply.
The temperature outside is 34°F.
The Dead Sea is 1,349 feet below sea level.
Nicole lost 2 pounds last month.
Sebastian owes his friend $4
A football team gains 11 yards on a play.
Long Island Sound is at sea level.
Answer:
A and e
Step-by-step explanation:
is the potential that a chosen action may lead to an undesirable outcome. group of answer choices chance probability negativity risk
Risk is the potential that a chosen action may lead to an undesirable outcome.
About riskIn simple terms, the definition of risk is a condition that is uncertain, but contains an element of danger as a consequence or result of something. Once again, this something is a business, business, activity, or decision that you make.
Types of RiskThe risks themselves are divided into several types, complete with different characteristics.
1. Pure Risk
This pure risk is certain, meaning that when the risk occurs, you will experience a loss. And vice versa, if pure risk does not occur, then you will make a profit.
2. Speculative Risk
There are three possibilities that will happen, if you experience speculative risk, namely profits, losses, or maybe break even. What is meant by break even is the break even point.
Conditions where there are no profits or losses, so it's normal. The most obvious examples of speculative risk are the lottery, stock exchange, exchange risk, and others.
3. Particular Risk or Special Risk
Specific risks originate from individual activities, so the impact can still be estimated or anticipated at the outset because they are local in nature. For example, a turbine explosion, a shipwreck, or maybe a crash.
How to anticipate it (example for collision risk). You can take out insurance to provide guarantees or protection, both for the vehicle and for yourself.
4. Fundamental Risk
Fundamental risks come from the surrounding environment or nature which can have quite a big impact, because humans are not able to control them.
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unit used to measure humidity
You accept a job that pays out $15,000 your first year. You are given the option of either earning an additional $500 each year you work or 2% of your current salary. Your plan is to stay with this job for 4 years. Which option do you choose and how much will you make? 2% or $500? $
To compare the two options, we need to calculate the total earnings for each option over the 4-year period.
Option 1: Earning an additional $500 each year
The total earnings for this option will be:
Year 1: $15,000
Year 2: $15,500 ($15,000 + $500)
Year 3: $16,000 ($15,500 + $500)
Year 4: $16,500 ($16,000 + $500)
Total earnings over 4 years = $15,000 + $15,500 + $16,000 + $16,500 = $63,000
Option 2: Earning 2% of current salary
To calculate the earnings for this option, we need to find the salary for each year using the formula:
salary = $15,000 + 2% × (previous year's salary)
Year 1: salary = $15,000
Year 2: salary = $15,300 ($15,000 + 2% × $15,000)
Year 3: salary = $15,606 ($15,300 + 2% × $15,300)
Year 4: salary = $15,924.12 ($15,606 + 2% × $15,606)
Total earnings over 4 years = $15,000 + $15,300 + $15,606 + $15,924.12 = $61,830.12
Therefore, the first option of earning an additional $500 each year results in higher total earnings of $63,000 over 4 years, compared to earning 2% of the current salary, which results in total earnings of $61,830.12. Hence, the first option of earning an additional $500 each year is the better choice.
does anyone know what to put on these boxes
Answer:
You should ask your teacher what the heck that means!
Step-by-step explanation:
But still, -7+10=3
How do you find the x - intercepts by using factored form?
We know that the x intercepts of a function are given when y = 0
like the function of this figure, that intercepts x axis on the blue points.
Then, we want to know the values of x that makes y = 0:
y = 3x² + 18x + 27
↓
0 = 3x² + 18x + 27
Step 1: Great Common FactorWe want to find GCF of the terms of the addition:
0 = 3x² + 18x + 27
Since
3 · 6 = 18 and 3 · 9 = 27, we can write:
0 = 3x² + 18x + 27
↓
0 = 3 · x² + 3 · 6x + 3 · 9
Then, the GCF of the terms of the addition is 3. So we can write:
0 = 3 · x² + 3 · 6x + 3 · 9
↓
0 = 3(x² + 6x + 9)
Step 2: factoring (x² + 6x + 9)We want to write
x² + 6x + 9 = (x + _ ) (x + _ )
in order to do so we must find the numbers that fill the space.
This couple of numbers satisfy that:
1- their addition is the second term, 6.
2- their product is the last term, 9.
We have that
3 + 3 = 6
and
3 · 3 = 9
Then, the numbers are 3:
x² + 6x + 9 = (x + 3 ) (x + 3) = (x + 3)²
Step 3: finding x- interceptsSince we have factored completely the equation, we have
3x² + 18x + 27 = 3(x + 3)²
then
3(x + 3)² = 0
We have that this product is zero, 0, iff
(x + 3) = 0
If
x = -3
then
x + 3 = 0
Then
when x = -3, then y = 0
Therefore,
when x = -3, the function intercepts x:
Answer: when x = -3, the function intercepts x.
9,710 in scientific notation
Answer:
9.71 × 10³
Step-by-step explanation:
Scientific Notation: 0.00 × 10ⁿ
Simply use the base 10 decimal system to convert.
Answer:
9.71*\(10^{3}\)
Step-by-step explanation:
*The number before the decimal point ALWAYS has to be between 1-10.
Once you got tht,count how many spaces you moved to get the new number
Assume the random variable x is normally distributed with mean μ 82 and standard deviation σ= 5, Find the indicated probability P(x< 80)
With a mean of 82 and a standard deviation of 5, the random variable x has a normal distribution. The stated probability is roughly 0.3446, or 34.46%.
To find the probability P(x < 80) for a normally distributed random variable with mean μ = 82 and standard deviation σ = 5, we need to calculate the area under the normal curve to the left of the value x = 80.
We can standardize the variable x using the formula z = (x - μ) / σ, where z is the standard score. In this case, x = 80, μ = 82, and σ = 5, so we have:
z = (80 - 82) / 5 = -2 / 5 = -0.4
Now, we need to find the cumulative probability associated with the z-score -0.4. This represents the probability of obtaining a value less than x = 80.
We may determine the associated cumulative probability using a calculator or a basic normal distribution table.
According to a conventional normal distribution table, the cumulative probability for -0.4 is around 0.3446.
Therefore, P(x < 80) ≈ 0.3446.
So, the indicated probability is approximately 0.3446 or 34.46%.
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A painting measures 1 meter by 2 meters. A frame shop charges $30.00 per meter for a wooden frame. How much would it cost to buy a frame for the painting?
Answer:
$180.00
Step-by-step explanation:
The painting is rectangular and it measures 1 meter by 2 meters. The frame shop charges $30.00 per meter for a wooden frame.
To find the cost, we need to find the perimeter of the painting and then multiply it by the cost of a wooden frame per meter.
The perimeter of a rectangle is:
P = 2(L + B)
P = 2(1 + 2) = 2 * 3 = 6 m
The cost of the frame is therefore:
6 * 30 = $180.00
Find the smallest number by which 350
must be multiplied to give a perfect square.
Answer:
the smallest number by which 350 by answer is 15
Select all names that apply to the number 5/8
Answer:
five over eight, five-eighths
you need to give possible options
Step-by-step explanation:
When the smaller of two consecutive integers is added to five times the larger, the result is 41. Find the integers.
Answer:
6 and 7
Step-by-step explanation:
lashonda swam 5 kilometers against the current in the same amount of time it took her to swim 15 kilometers with the current. the rate of the current was 2 kilometers per hour. how fast would lashonda swim if there were no current?
The correct answer is 4 km per hour Lashonda would swim if there were no current.
Here, we'll suppose that Lashonda is moving at x km/hr. in the absence of any current.
Speed of the current is 2 km/hr.
Distance swim against current is 5km
Time taken to swim against current is 5 ÷ (x - 2)
Distance swim with current is 15km
Time is taken to swim with current is 15 ÷ (x + 2)
Now,
Given that if the time taken in both instances are the same, So, the equation will be 5 ÷ (x - 2) = 15 ÷ (x + 2)
After solving for x we will be solving;
⇒ 5 ÷ (x + 2) = 15 ÷ (x - 2)
⇒ 5x + 10 = 15x - 30
⇒ 10 + 30 = 15x - 5x
⇒ 40 = 10x
⇒ x= 40 ÷ 10 = 4 km per hour
Hence, 4 km per hour Lashonda would swim if there were no current.
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