The package has a surface area of 4520cm². The area of the package is less than the area of the wrapping paper. So, dayson can cover the package with the wrapping paper.
According to the question,
The first step is to determine the surface area of the package.
Total surface area of a cuboid = 2 (l w + w h + l h)
where:
• l = length
• w = width
• h = height
2[(50 x 20) + (50 x 18) + (20 x 18)] = 4520cm²
The second step is to convert 1 square meter to cm
1m² = 100 cm²
100 x 100 = 10,000
To learn how to convert units, please check: brainly.com/question/25993533
#SPJ4
please help me 5 Points
a. Area of A = 20 ft²
Area of B = 16 ft²
Area of C = 12 ft²
Area of A = 24 ft²
b. The surface area of the triangular prism = 96 ft².
How to Find the Surface Area of a Right Triangular Prism?The surface area of the triangular prism given in the diagram = area of A + B + C + D.
a.
Area of A (rectangle) = (length)(width) = (10)(2) = 20 ft²
Area of B (rectangle) = (length)(width) = (8)(2) = 16 ft²
Area of C (rectangle) = (length)(width) = (6)(2) = 12 ft²
Area of A (rectangle) = 1/2(base)(height) = 1/2(6)(8) = 24 ft²
b. The surface area of the triangular prism = 20 + 16 + 12 + 2(24) = 96 ft².
Learn more about the surface area of triangular prism on:
https://brainly.com/question/16147227
#SPJ1
I need help please! This is urgent!
Answer:
first 35 out of 100 then second person 34 out of 99
Step-by-step explanation:
Grass the line with the given slope and y-intercept. slope = -4, y-intercept =-5
There will be no change to the grass because the exponential of the function remains the same.
According to the questions,
slope = -4 and y-intercept = -5
Equation of straight line y = mx + c
y = -4x - 5
In order to grass line, there will be no change to the grass because the exponential of the function remains the same.
Learn more about exponential here
https://brainly.com/question/1302412
#SPJ4
am bad at this type of geomtry
pls haIp
x =x=x, equals
^\circ
∘
degrees
Answer:
15
Step-by-step explanation:
The blue angle and the yellow angle form a linear pair, so they are supplementary (angle measures add up to 180).
180 - 165 = 15
solve each equation round to the nearest ten-thousandth in (x+21)=7
The solution to the equation (x+21)=7 is x = -14
How to solve the equation?The equation is given as:
(x+21)=7
Remove the brackets
x + 21 = 7
Subtract 21 from both sides
x + 21 - 21 = 7 - 21
Evaluate the expression
x = -14
Hence, the solution to the equation (x+21)=7 is x = -14
Read more about equations at:
https://brainly.com/question/2972832
#SPJ1
place 3 numbers between 12 and 60 to make a sequence of 5 numbers with a common difference
Answer:
12-24-36-48-60
if I'm wrong I will try to get back to you and right my wrong
a group of young women decided to raise 480000 to start a business after some time 4 women pulled outand they had to pay additional 20000 . determine the original number of women
Answer:
96 is the number of original women investors.
Step-by-step explanation:
Let X be the number of young women in the initial group. They raised 480000, so the average payment per person was (480000/X).
When 4 pull out, the new average is (480000/(X-4)). We are told that this new average required the remaining women (X-4) to add another 20000.
The four women therefore had contributed 20000 in total, making their average 20000/4 = 5000 each.
This would have been the same amount contributed by all X women. Thus, we can set the average (480000/X) equal to 5000
(480000/X) = 5000
(480000) = 5000X
(480000)/5000 = X
X = 96
The original number of women was 96.
===
Check
(96 Women)(5000/Woman) = 480000 CHECKS
(4 Women pull out)*(5000) = 20000 that needs to be added to stay at 480000. CHECKS
Kelly is 5'4" tall. She measured her shadow one morning to be 8'7". She then measured the shadow of her house. The house shadow was 42'3". How tall is the
actual house? (inches rounded to the hundredths.)
The height of the actual house is 26'.26" .
How to find the height of the house using ratio?A ratio indicates how many times one number contains another.
Therefore, the heights will form a similar length. Therefore, the corresponding length have the same ratios.
Therefore,
height of Kelly / x = height of Kelly shadows / height of house shadow
Hence,
where
x = actual height of the house
5.4 / x = 8.7 / 42.3
cross multiply
42.3 × 5.4 = 8.7x
Therefore,
228.42 = 8.7x
divide both sides by 8.7
228.42 / 8.7 = 8.7x / 8.7
x = 26.2551724138
Therefore, the height of the actual house is 26'.26"
learn more on ratio here: https://brainly.com/question/20849502
#SPJ1
What is the surface area of the figure below?
Round your answer to the nearest tenth square foot?
(The answer choices are in the picture. Thank you!)
Answer:
856.5ft^2
Step-by-step explanation:
I took the test.
The marks obtained by 10 student in a test are as follows: 3,7,6,2,8,5,9,1,4 and 10. find the mean mark
Answer:
[tex]5.5[/tex]
Step-by-step explanation:
Mean:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is
[tex]\mu = \frac{{\sum}x}{N}[/tex]
The formula for the mean of a sample is
[tex]\bar{x} = \frac{{\sum}x}{n}[/tex]
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values entered above, the solution is:
[tex]\frac{55}{10} = 5.5[/tex]
A group of Advanced Open Water Divers plans to make two dives. The first dive is on a reef in 22 metres of water for 20 minutes. The group then remains on the surface for 1 hour. The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes. What will be the ending pressure group after the second dive
The ending pressure group after the second dive is R.
According to the statement
We have given that the
The first dive is on a reef in 22 metres of water for 20 minutes and The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes.
And we have to find the pressure group after second dive.
So, For this purpose, we know that the
Recreational scuba diving (R) – this diving has prescribed limits, including a depth no greater than 130 fsw, using only compressed air, and never requiring a decompression stop.
From the above situation, we could note that there was a prescribed limit 18m/60ft of water with a bottom time of 30 minutes.
And due to its the ending pressure becomes R.
So, The ending pressure group after the second dive is R.
Learn more about Pressure here
https://brainly.com/question/5018408
#SPJ1
Firm valuation schultz industries is considering the purchase of arras manufacturing. arras is currently a supplier for schultz, and the acquisition would allow schultz to better control its material supply. the current cash flow from assets for arras is $8 million. the cash flows are expected to grow at 9 percent for the next five years before leveling off to 6 percent for the indefinite future. the cost of capital for schultz and arras is 13 percent and 11 percent, respectively. arras currently has 3 million shares of stock outstanding and $25 million in debt outstanding. what is the maximum price per share schultz should pay for arras? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) price per share $
Based on the calculations, the maximum price per share that Schultz should pay for Arras is approximately equal to $53.00.
How to calculate the maximum price per share?First of all, we would determine the cash flows for the company until the growth rate changes at a constant perpetual rate:
Year 1: $8,000,000(1 + 0.09) = $8,720,000.
Year 2: $8,720,000(1 + 0.09) = $9,504,800.
Year 3: $9,504,800(1 + 0.09) = $10,360,232.
Year 4: $10,360,232(1 + 0.09) = $11,292,652.88.
Year 5: $11,292,652.88(1 + 0.09) = $12,308,991.6392.
Year 6: $12,308,991.6392(1 + 0.06) = $13,047,5311.137552.
Next, we would calculate the terminal value in Year 5:
TV₅ = CF₆/(RWACC - g)
TV₅ = CF₆/(0.11 - 0.06)
TV₅ = $12,308,991.6392/0.05
TV₅ = $246,179,832.784.
By using Arras' cost of capital, we would determine its present value:
V₀ = $8,720,000/(1 + 0.11) + $9,504,800/(1 + 0.11)² + $10,360,232/(1 + 0.11)³+ $11,292,652.88/(1 + 0.11)⁴+ ($12,308,991.6392 + $246,179,832.784)/(1 + 0.11)⁵.
V₀ = $8,720,000/(1.11) + $9,504,800/(1.11)² + $10,360,232/(1.11)³+ $11,292,652.88/(1.11)⁴+ ($12,308,991.6392 + $246,179,832.784)/(1.11)⁵.
V₀ = 7,855,855.8559 + 7,714,308.9035 + 7,575,312.3467 + 7,438,820.2323 + 153,400,536.1422.
V₀ = $183,984,855.4806.
For the market value of the equity, we have:
S = 183,984,855.4806 - 25,000,000
S = $158,984,855.4806.
Now, we can find the maximum price per share:
Maximum price per share = 158,984,855.4806/3,000,000
Maximum price per share = $52.9949 ≈ $53.00.
Read more on maximum price per share here: https://brainly.com/question/15404593
#SPJ1
3x^2 - 5x -1 =0
Quadratic Equation
please explain step by step
Answer:
Step-by-step explanation:
Solving 3x2-5x-1 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x, the solution for Ax2+Bx+C = 0, where A, B, and C number, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -5
C = -1
B2 - 4AC =
25 - (-12) =
37
Applying the quadratic formula :
5 ± √ 37
x = —————
6
√ 37, rounded to 4 decimal digits, is 6.0828
So now we are looking at:
x = ( 5 ± 6.083 ) / 6
Two solutions:
x =(5+√37)/6= 1.847
x =(5-√37)/6=-0.180
Go to a clothing store with
your parent/guardian and
pick out one item that you
would like to purchase. How
much of a discount would
you have if the item had
25% off sale? What would
a
the sale price be?
Answer:
original price $75
discount $18.75
sale price $56.25
Step-by-step explanation:
I found a pair of dress pants for $75.
Since the discount is 25%, then the discount is
25% of $75 = 0.25 × $75 = $18.75
The sale price is the original price, $75, minus the discount, $18.75.
$75 - $18.75 = $56.25
Select the equivalent expression. (Please Help!!!)
(a/b^3)^4 = ?
Choose 1 answer:
A. a^8/b^8
B. a^4/b^12
C. a/b^81
D. a^5/b^7
Answer: B. a^4/b^12
Step-by-step explanation:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{a}{b^{3} }\right)^{4} \end{gathered}$}[/tex]
Use the rules of exponents to simplify the expression.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{a^{1} }{b^{3}}\right)^{4} \end{gathered}$}[/tex]To raise the quotient of two numbers to a power, raise each power to the power and then divide it.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{(a^{1})^{4} }{(b^{3})^{4} } \end{gathered}$}[/tex]To raise a power to another power, multiply the exponents.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{a^{4} }{b^{3\times4} } \end{gathered}$}[/tex]Multiply 3 by 4.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{a^{4} }{b^{12} } \end{gathered}$}}[/tex]We conclude that: the correct option is "B".
10 POINTS
please help me!!
Which of these absolute values is the greatest? a. |140| b. |-104| c. |104| d. |-20
Answer: a
/////////////////
Answer:
The correct answer is A.
Step-by-step explanation:
The absolute value of any number is always positive.
Note: Figure is not drawn to scale.
The object above is symmetrical through Z. If Y = 14 inches, Z = 14 inches, and H = 10 inches, what is the area of the object?
The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The area of kite = (product of diagonals)/2
Area of kite = (10 * 14) / 2 = 70 in²
The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Which of these is the equation of a graph
in which the vertex is (4, 2) and
a=-2
HELPPPPPPPP
The equation of the graph in which the vertex (4,2) and a=-2 is
y=-2[tex](x-4)^{2}[/tex]+2.
Given that the point of the vertex is (4,2) and a=-2.
Equation is like a relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. It may be a linear equation,quadratic equation, cubic equation or many more depending on the power of variable in the equation.
We know that point of vertex look like (h,k) in the equation and equation look like as under:
y=a[tex](x-h)^{2} +k[/tex].-----------1
So in order to find the equation we have to just put h=4 and k=2 and a=2 in equation 1.
y=-2[tex](x-4)^{2} +2[/tex]
Hence the equation of the graph in which the vertex (4,2) and a=-2 is
y=-2[tex](x-4)^{2}[/tex]+2.
Learn more about equation at https://brainly.com/question/2972832
#SPJ1
3\sqrt(6)*6\sqrt(6)
Please quick reply!
Answer: 3
Step-by-step explanation:
Multiply the numerator to get 3 x 6 is 18
Multiply the denominator to get √6 x √6 = 6
Divide 18 by 6 to get the answer is 3
The segments shown below could form a triangle.
A
5
с
B
8
B
6
Based on the triangle inequality theorem, the statement that the given segments will form a triangle is TRUE.
What is the Triangle Inequality Theorem?If a, b, and c are lengths of a triangle, then,
a + b > c
a + c > b
b + c > a
Given the segments:
AC = 6
CB = 5
BA = 8
6 + 5 > 8 [true]
6 + 8 > 5 [true]
5 + 8 > 6 [true]
Therefore, it is true that the segments given could form a triangle.
Learn more about the triangle inequality theorem on:
https://brainly.com/question/309896
#SPJ1
what is the probability that random permutation of n numbers gets sorted after 1 pass of bubble sort
It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!
According to the statement
we have to find the probability of random permutation of the N numbers.
So, according to the definition of A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable.
In this we order of select the objects randomly.
So, Let There are n−1 comparisons, so 2n−1 possible sequences of actions - swap or don't swap.
To find the permutations, start with 1,2,3,4,5 and undo a sequence.
For example, if let n=5, there are 24=16 out of 5!
which is 5! =120 that end after one round of bubble sort.
So, It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!
Learn more about probability of a random permutation here https://brainly.com/question/14615273
#SPJ4
The volume of a cube is 36 cm3. What is the surface area of the cube, rounded to the nearest tenth of a cm2
Answer:
65.4 cm²
Step-by-step explanation:
The volume of a cuboid is calculated by multiplying the length, base, and height together. Since a cube has equal sides, the formula for the volume of a cuboid can be simplified as shown below.
Volume of cube
= side ×side ×side
= side³
Given that the volume is 36 cm³, let's find the length of each side.
side³= 36
Cube root both sides:
side=[tex]\sqrt[3]{36}[/tex]
Total surface area of a cube is the sum of the surface areas of its 6 identical square faces.
Area of a square
= side ×side
= side²
Surface area of 1 face= [tex](\sqrt[3]{36})^2[/tex]
Total surface area
= [tex]6(\sqrt[3]{36} )^2[/tex]
= 65.416 (5 s.f.)
= 65.4 cm² (nearest tenth)
Additional:
To learn more about surface area of cube, do check out the following!
https://brainly.com/question/21600799Which side lengths form a right triangle?
Choose all answers that apply:
A:
11,13,√290
B:
7, 24, 25
C: 2, 5, 7
The side lengths that forms a right triangle are as follows:
11, 13 √2907, 24, 25What is a right angle triangle?A right angle triangle has one of its angle as 90 degrees. The sides of the triangle follows Pythagoras theorem.
Therefore,
c² = a² + b²
where
a and b are the legsc is the hypotenuseThe hypotenuse is the longest side of the right triangle.
Therefore, the side lengths that forms a right triangle are as follows:
11, 13 √2907, 24, 25learn more on right triangle here: https://brainly.com/question/14593341
#SPJ1
A football field is 160 feet wide and 360 feet in length. what is the distance around the field?
Answer:
Step-by-step explanation:
Distance around = 2*160 + 2*360
= 320 + 720
= 1080 feet.
The distance around the field is 1040 feet.
It is required to find the distance around the field.
What is rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that:
A football field is 160 feet wide and 360 feet in length.
A football field is in the shape of rectangle.
So, we know that ,
Perimeter of rectangle= 2(length +breadth)
Distance around
= 2(160 + 360)
=2(520)
= 1040 feet.
Hence, the distance around the field is 1040 feet.
Learn more about rectangle here:
https://brainly.com/question/28040873
#SPJ2
To find the 95% confidence interval for the population standard deviation using the bootstrap method. You repeatedly sample with replacement from the sample, tens of thousands of times. For each sample, you compute the sample standard deviation. What is the next step?.
The next line after computing the sample standard deviation is to; determine the 2.5th and 97.5th percentiles of the values.
How can the 95% confidence interval be determined?It follows from the task content that the 95% confidence interval for the population standard deviation using the bootstrap method in which case, after numerous sampling, the 2.5th and 97.5th percentiles of the standard deviations are determined.
Read more on confidence interval;
https://brainly.com/question/15712887
#SPJ1
The volume of a solid revolution generated by rotating the curve y = f(x) and x = f(y) between x = a and x = b , y = a and y = b through 360 degrees about the x-axis and y-axis is given
[tex]V_{x} =\int\limits^b_a {\pi y^{2} } \, dx[/tex] and [tex]V_{y} =\int\limits^b_a {\pi x^{2} } \, dy[/tex]
The diagram shows the line y = 1, the line y = 4 and part of the curve [tex]y=3x^2[/tex]. The shaded region is rotated through 360 degrees about the y-axis. Find the exact value of the volume of revolution obtained. Leave your answer in pi.
Answer:
[tex]\dfrac{5}{2}\pi[/tex]
Step-by-step explanation:
Rotation about the y-axis
[tex]\textsf{Volume}=\displaystyle \int^b_a \pi x^2\:\text{d}y[/tex]
where:
b = upper limita = lower limitx is a function of yGiven function of y: [tex]y = 3x^2[/tex]
Rewrite the given function as a function of y:
[tex]\implies x^2=\dfrac{1}{3}y[/tex]
Substitute the values into the formula:
[tex]\implies \displaystyle \int^4_1 \dfrac{1}{3}\pi y\:\:\text{d}y[/tex]
[tex]\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int ay^n\:\text{d}y=a \int y^n \:\text{d}y$\end{minipage}}[/tex]
[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $y^n$}\\\\$\displaystyle \int y^n\:\text{d}y=\dfrac{y^{n+1}}{n+1}+\text{C}$\end{minipage}}[/tex]
Take out the constant and integrate:
[tex]\begin{aligned}\implies \dfrac{1}{3}\pi\displaystyle \int^4_1 y\:\:\text{d}y & = \dfrac{1}{3}\pi \left[\dfrac{1}{2}y^2\right]^4_1\\\\& =\dfrac{1}{3}\pi \left[\dfrac{1}{2}(4)^2-\dfrac{1}{2}(1)^2\right]\\\\&=\dfrac{1}{3}\pi\left[8-\dfrac{1}{2}\right]\\\\&=\dfrac{5}{2}\pi \end{aligned}[/tex]
Therefore, the exact value of the volume of revolution is:
[tex]\dfrac{5}{2}\pi[/tex]
Learn more about integration here:
https://brainly.com/question/27988986
https://brainly.com/question/27805589
what type of correlation relationship is "the number of fire stations in a city is positively correlated with the number of parks"
The type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.
What is Accidental Correlation Relationship?Accidental relationship is a type of correlation relationship whereby there is a strong correlation between two variables without a logical explanation for such relationship. It is often regarded as coincidental.
Therefore, the type of correlation relationship that exists between the number of fire stations in a city and the number of parks is: accidental correlation relationship.
Learn more about accidental correlation relationship on:
https://brainly.com/question/18829822
#SPJ1
Given the choice between doing an oral and written report ,18 of the 28 students chose to do an oral report find the ratio of written to oral report
Answer:
5:9
Step-by-step explanation:
So since 18 chose to do oral report, that means (28-18) or 10 students decided to do a written report.
To find the written to oral report ration, we need to find for each student that did a written report, how many did an oral report? We can express this as a fraction and simplify to get the simplified ratio. So the the written will be the numerator and the oral will be the denominator: 10/18, to simplify this simply divide both sides by 2, to get 5/9 which gives us the simplified ratio of 5:9 meaning that for every 5 students who decided to do a written report 9 students decided to do an oral report.
9 boys can paint a basketball court in 3 hours how long should 5 boys take working at the same rate
Answer:
100 minutes
Step-by-step explanation:
3 hours= 180 min
180/9 = 20
20 x 5 =100 min