Answer:58.73
Step-by-step explanation:
28.37+30.36=58.73
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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Which expression shows 48+16 in the form of C(a+b) where C is the greatest common factor of 48 and 16
Answer:
Step-by-step explanation:
a i promise
Prove ABCD is a square A(2,4) B(4,-1) C(-1,-3) D(-3,2)
First, let's check if all segments have the same length, calculating the distance between the points using the formula:
\(d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}\)So we have:
\(\begin{gathered} AB\colon \\ d=\sqrt[]{(-1-4)^2+(4-2)^2}=\sqrt[]{25+4}=\sqrt[]{29} \\ \\ BC\colon \\ d=\sqrt[]{(-3-(-1))^2+(-1-4)^2}=\sqrt[]{4+25}=\sqrt[]{29} \\ \\ CD\colon \\ d=\sqrt[]{(2-(-3))^2+(-3-(-1))^2_{}_{}}=\sqrt[]{25+4}=\sqrt[]{29} \\ \\ AD\colon \\ d=\sqrt[]{(4-2)^2+(-3-2)^2}=\sqrt[]{4+25_{}}=\sqrt[]{29} \end{gathered}\)Now, we need to check the slopes of each segment. The adjacent sides need to be perpendicular, so their slopes need to have the relation:
\(m_2=-\frac{1}{m_1}\)Calculating the slopes with the formula below, we have:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ AB\colon \\ m=\frac{-1-4}{4-2}=-\frac{5}{2} \\ \\ BC\colon \\ m=\frac{-3-(-1)_{}}{-1-4}=\frac{2}{5} \\ \\ CD\colon \\ m=\frac{2-(-3)}{-3-(-1)}=-\frac{5}{2} \\ \\ AD\colon \\ m=\frac{4-2}{2-(-3)}=\frac{2}{5} \end{gathered}\)So all adjacent sides are perpendicular.
All sides have the same length and all adjacent sides are perpendicular, therefore ABCD is a square.
Julio is playing a trivia game. On his first tum, he lost 120 points. On his second tum, he lost 75 points. On
his third tum, he lost 60 points. Enter a sum of three negative integers that models the change to Julio's
score after his first three turns. Enter the sum in the order of his turns.
Answer:
-120,-75,-60
(t)-120-75-60
Answer:
negative 255
Step-by-step explanation:
0-120=-120
-120-75=-195
-195-60=-255
a water wheel has a radius of 15 feet. the wheel is rotating at 6 revolutions per minute. find the linear speed of the water. express your answer in terms of n and using units feet per second
Answer:
25.1333 per second
Step-by-step explanation:
1508 per min
what is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?
Answer:
8.4897959183673
Step-by-step explanation:
Which ratios are I proportional relationships 2 to 3 and 4 to 6
Answer:
4 - 6
Step-by-step explanation:
Answer:
8 to 12
Step-by-step explanation:
You can multiply each value in the ratio by a number. For example, I could multiply 2 to 3 by 4 and I would get 8 to 12 because 2*4=8 and 3*4=12.
Fully factories thus expression
4h + 12
Answer:
4(h+3)
Step-by-step explanation:
4h+12
Rewriting as
4h+4*3
Factor out the 4
4(h+3)
Answer:
4(h+3)
Step-by-step explanation:
The perimeter of The figure below is 69.2m. Find the length of the missing side.
Answer:
10.1m
Step-by-step explanation:
Add all the given sides and subtract the answer from the perimeter i.e 69.2
Zero(s) of multiplicity one:
Zero(s) of multiplicity two:
Zero(s) of multiplicity three:
Please look at photo for the full question. Thank you.
The zeros and the multiplicities are
Zero(s) of multiplicity one: x = 6Zero(s) of multiplicity two: x = 11Zero(s) of multiplicity three: x = -6 and x = -5How to determine the zeros and the multiplicitiesfrom the question, we have the following parameters that can be used in our computation:
f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³
The power of each factor are the multiplicities
So, we have
Zero(s) of multiplicity one:
x - 6 = 0
Zero(s) of multiplicity two:
x - 11 = 0
Zero(s) of multiplicity three:
x + 6 = 0 and x + 5 = 0
When evaluated, we have
Zero(s) of multiplicity one:
x = 6
Zero(s) of multiplicity two:
x = 11
Zero(s) of multiplicity three:
x = -6 and x = -5
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Woolworths had a going out of business sale. The price of a telephone before the sale was $39.98. What was the price of the telephone after a 30% discount? If the sale price of the same telephone had been $23.99, what would the percentage discount have been?
A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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can anyone help?????? Can y’all write it detailed or like step by step explaining cause i have to write it down ..
Answer:
x = 5
Step-by-step explanation:
Step 1: Distributive property
Using this property means when you have something like the equation on the right side ( 4 ( x + 3 ) ) you multiply both the values in the parentheses by the number outside:
4 ( x + 3 )
( 4 x X ) + ( 4 x 3 )
4x + 12
8x + 2 = 2x + 4x + 12
Step 2: combine like terms
Combining like terms is when you find like terms with the same variables and such and add them together:
8x + 2 = 12 + ( 2x + 4x )
8x + 2 = 12 + 6x
Step 3:Using inverse operations
This means that you need to get a variable one one side and a constant on the other:
8x + 2 ( -2 ) = 12 ( -2 ) + 6x
8x = 10 + 6x
8x ( -6x ) = 10 + 6x ( -6x )
2x = 10
Step 4: solve for the variable
The last thing you need to do is divide both sides by the constant with the variable ( 2x ) to get x by itself:
2x ( /2 ) = 10 ( /2 )
x = 5
Answer:
x=5
Step-by-step explanation:
Step 1:Using the distributive property on the right side of the equation
8x+2=2x+4(x+3)
8x+2=2x+4x+12
Step2:Combining the like terms on the right side if the equation (Since there are no like terms on the left side) :
8x+2=6x+12
Step 3: Using the inverse operations to get the variables on the left side and the constants on the right side of the equation :
8x-6x=12-2
Step4: Using inverse operation to solve for the variable of interest which is 'x':
2x=10 (Dividing both sides by two sides by 2)
x=5
What is the correct answer?
Answer:
d) 3
Step-by-step explanation:
4t^2 +5t -1
in this equation there are 3 terms:
4t^2, 5t, and -1
Answer:
answer is 3 because there are 4t square + 5t -1
1 2. 3
i need help i need to get these notes done asap please help.
Answer:
Youre answer would be ( 2,8) i really hope this is right.
Step-by-step explanation:
if u can mark me brsinlist bc i tried
Its hard to tell what you're trying to solve, but if you are trying to find the point on the graph the way to find it is what I wrote
Answer:
The point on the graph is (4,3)
Step-by-step explanation:
Go to the x axis. Follow it alllllllll the way to the rught until you reach the line that the point is on. Count how many squares you go up. That number should be 1-2-3-4. it is 4 points up, which is your answer for x.
To find 'y', go up the y axis until it goes to the line the point is on, and count how many squares you go to the right. That answer should be 1-2-3, which is your answer.
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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Help me on this one please guys I’m begging
Answer: 14
Step-by-step explanation:
(150/84) = (25/x)
So, x= {(84*25)/150} = 14
the anser is the second picture on moby max
Please help! I will give brain list also if you mind(you don’t have to) but may you explain?
Also I report people who add links :)
Answer:
2. 8/10 is bigger
3. 7/8 is bigger
4. 1/2 is bigger
5. 8.12 is bigger
6. 4/6 is bigger
7. 7/12 is bigger
Step-by-step explanation:
What are the answers to these 4 questions
Answer:
These are easy you should know
Step-by-step explanation:
But it looks like you got the answers already God Bless
there exists an intewger that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers
there exists an integer that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers ∃x∈ℤ: x > 5 ∧ x² < 40
1. Start by writing down the equation: x² < 40
2. Take the square root of both sides of the equation to isolate the variable x: √x² < √40
3. Simplify both sides of the equation: x < √40
4. Check that the result makes sense: x < 6.3
5. Take the integer part of the result: x < 6
6. Since the requirement is that x is greater than 5, the answer is x = 6.
We start by writing the equation x² < 40 and then take the square root of both sides to get x < √40. We check that the result is reasonable and then take the integer part of the result to get x < 6. Since the requirement is that x is greater than 5, the answer is x = 6. To confirm, we can calculate that x² = 36 which is smaller than 40, and indeed, 6 is greater than 5. Therefore, the integer that is greater than 5 and whose square is smaller than 40 is 6. This can be expressed mathematically as ∃x∈ℤ: x > 5 ∧ x² < 40 which translates to: There exists an integer x such that x is greater than 5 and the square of x is smaller than 40.
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What numbers lie between 42 square root
Answer:
√ 42 lies between 6 and 7
Step-by-step explanation:
We know that √ 42 will lie between √ 36 and √ 49
And √ 36 = 6 ; √ 49 = 7
Hence we can be sure that √ 42 lies between 6 and 7
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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Find the missing lengths!!!!!!!
Answer:
13
Step-by-step explanation:
It is a square so the length of 1 side = \(\sqrt{169}\) = 13
Imagine that your instructor chose to use Keep the Highest scoring method in Grade it Now mode. Here are your scores: What would be your final score? 5 6 9
My final score is 9
What is Mode?
In statistics, the value that consistently appears in a particular set is referred to as the mode. The mode or modal value in a data set is sometimes referred to as the value or number that occurs most frequently in the data set. In addition to mean and median, it is one of the three measures of central tendency.
For a limited number of observations, the mode is simple to find. There could be one mode, several modes, or none at all for a given collection of values.
When we use highest scoring method in Mode, we keep the Highest will give the highest score if the scores are different.
So that the final score is 9.
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the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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Write the quadratic equation whose roots are 1 and -1 whose coefficient is 2. (Use the letter x to represent the variable)
so that our equation has roots in 1 and -1 we are going to express the polynomial in the factored form
so
\(y=a(x-b)(x-c)\)where a is the coefficient, b and c the roots
so replacing
\(\begin{gathered} y=2(x-(-1))(x-(1)) \\ \\ y=2(x+1)(x-1) \end{gathered}\)then solve the multiplication
\(\begin{gathered} y=2((x\times x)+(x\times-1)+(1\times x)+(1\times-1)) \\ y=2(x^2-x+x-1) \\ y=2x^2-2 \end{gathered}\)An amount of Birr 500 is deposited in an account at the end of each six-month period with an interest computed at 6% compounded semi-annually. How many years does it take for the amount to reach Birr 56,398.43?
It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of compounding periods per year
t = Number of years
In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.
We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.
Let's substitute the given values into the formula and solve for t:
56,398.43 = 500(1 + 0.06/2)^(2t)
Divide both sides by 500:
112.79686 = (1 + 0.03)^(2t)
Take the natural logarithm of both sides to eliminate the exponent:
ln(112.79686) = ln(1.03)^(2t)
Using the property of logarithms, we can bring down the exponent:
ln(112.79686) = 2t * ln(1.03)
Now, divide both sides by 2 * ln(1.03):
t = ln(112.79686) / (2 * ln(1.03))
Using a calculator, we find t ≈ 17.12.
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I need an answer pls
Answer:
y=3x^2 - 2x + 5
Step-by-step explanation:
The easiest way to find the answer to this question would be to just plug the different x values into the equations. If you take the equations and plug in x and it gives out the correct f(x) value, then the answer would be correct.
For example, plugging -3 into y=3x^2 - 2x + 5 gives you 10. Plugging in 0 gives 5. Plugging in 2 gives 13.
A growing giant pumpkin weighs 40.5 pounds on day 18 and 496.3 pounds on day 50. Which equation can be
used to find the weight gain of the giant pumpkin, (pounds), from day 18 to day 50, and what is the value of x?
The equation of line is y = 14.24375x + 296.8875 , where x is the number of days and y is the total weight gain in x days
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 18 , 40.5 )
Let the second point be Q ( 50 , 496.3 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 496.3 - 40.5 ) / ( 50 - 18 )
Slope m = 455.8 / 32
Slope m = 14.24375
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 40.5 = 14.24375 ( x - 18 )
On simplifying the equation , we get
y - 40.5 = 14.24375x - 256.3875
Adding 40.5 on both sides of the equation , we get
y = 14.24375x + 296.8875
where x is the number of days
Hence , the equation of line is y = 14.24375x + 296.8875
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