Answer:
Here,
given that : - area of base(Bottom surface area) surface = 84.3ft.sq
So, the area of top surface area is same as bottom surface area, that is
= 84.3ft.sq
And, given that lateral dimensions.
Height (Breadth ) = 4ft
length = 7ft
So, lateral surface area is
= 4ft×7ft×5 = 140ft.sq
So, final answer is
total area = 84.3×2 + 140 = 308.6ft.sq
what is 60,000,000,000+800.000,000,000=?
Answer:
130.000,000,000
:)
Step-by-step explanation:
888383883838383dStep-by-step explanatio
find the value of each missing variable?
Step-by-step explanation:
9x - 2 = 5x + 54 because these angles are corresponding
9x - 5x = 54 + 2 add/subtract like terms
4x = 56 and this divided by 4
x = 14
9x - 2 + 10y + 6 = 180° because these two angles makes a straight line
9×14 - 2 + 10y + 6 = 180°
126 - 2 + 10y + 6 = 180° add like terms
130 + 10y = 180° subtract 130 from both sides
10y = 50 divide by 10
y = 10
John's monthly salary is $810. He spends 5/9 of it on rent, 1/3 of it on
food and saves the rest. How much money does he save in a year?
Answer:
$1080
Step-by-step explanation:
monthly salary = $810
money spent on rent = 810 × 5/9 = $450
money spent on food = 810 × 1/3 = $270
money saved in a month = monthly salary - (money spent on [rent + food])
= 810 - (450 + 270)
= 810 - 720 = $90
money saved in a year = money saved in a year × 12
90 × 12 = $1080
OR
monthly salary = $810
yearly salary = 810 × 12 = $9720
money spent on rent = 9720 × 5/9 = $5400
money spent on food = 9720 × 1/3 = $3240
money saved in one year =
yearly salary - (money spent on [rent + food] in an year )
= 9720 - (5400 + 3240)
= 9720 - 8640 = $1080
A rectangular room is 3 times as long as it is wide, and its perimeter is 40 meters. Find the dimension of the room.
The length is : ______ meters and the width is ______ meters.
Answer:
Step-by-step explanation:
Perimeter is equal to 2 times the length added to 2 times the width.
In this questions the perimeter = 40
width = w
length = 3w
Equation is
40 = 2(3w) + 2(w)
40 = 6w + 2w
40 = 8w
divide each side by 8
40/8 = 8w/8
5 = w
So the length = 15 meters and the width is 5 meters.
Length is 3 times the width of 5 = 15
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
A 2-row table with 10 columns. The first row is labeled time (minutes) with entries 0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4, 4.5. The second row is labeled temperature (degrees Celsius) with entries 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?
5
5.5
6
6.5.
According to the given table the line of best fit is
f(x)=4.54x+77.84
The term "line of best fit" describes a line that passes across a scatter plot of data points and best captures their connection. Statisticians often utilise regression analysis software or manual computations to arrive at the geometric equation for the line using the least squares approach. A straightforward linear regression study of two or more independent variables will provide a straight line.
Hence, as asked by the question we need to find the time at which the tempurature will become 100°C.
To find that let us put f(x)=100 and find out the value of x for which it is satisfied.
4.54x+77.84=100
⇒\(x=\frac{100-77.84}{4.54}=4.88\)
⇒x≈5
Therefore the time at which the tempurature is 100°C is 5 minutes.
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A wooden board in the shape of a rectangle prism measures 0.3 m by 2.1 m by 0.1 m and has a mass of 0.17 kilogram. What is the density of the board?
Enter your answer as a decimal in the box. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
To find the density of the wooden board, we need to divide the mass of the board by its volume. The volume of a rectangular prism is calculated by multiplying its length, width, and height.
Given:
Length (l) = 0.3 m
Width (w) = 2.1 m
Height (h) = 0.1 m
Mass (m) = 0.17 kg
Volume (V) = l × w × h
V = 0.3 m × 2.1 m × 0.1 m
V = 0.063 m³
Density (ρ) = mass / volume
ρ = 0.17 kg / 0.063 m³
ρ ≈ 2.7 kg/m³
The density of the wooden board is approximately 2.7 kg/m³.
Maria went to the store to buy new shirts for school. Each shirt cost $8.79. Maria buys 12 shirts for school. How much will Maria spend on all of the shirts?
Answer:
Maria will spend $105.48 on all of the shirts.
Step-by-step explanation:
Multiply 8.79 by 12 :)
Answer:
105.48
Step-by-step explanation:
If each shirt costs 8.79 then you need to multiply 8.79 by 12 because she bought 12 shirts to get 105.48. I hope this helped!
3. If a 35-foot cable were run from the top of the pole and anchored to the ground at a distance from the pole, about how far away from the pole would it be anchored?
The distance from the pole at which the cable is anchored is about 25 feet from the pole .
Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.
Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.
we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.
Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .
Simplifying the above equation
1225 = 1600 - 80ED + ED²
1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0
Factorizing the above quadratic equation
ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)
= 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.
The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.
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solve the inequality and describe the solution set y-6 >12
Answer:
y>18
Step-by-step explanation:
Move all terms not containing y to the right sideof the inequality.
Inequality Form:
y>18
How many yards are in 108 inches?
Answer:
3 yards
Step-by-step explanation:
Divide inches by 36
\(108/36\\=3yards\)
Answer:
\(3 \: \: yards\)
Step-by-step explanation:
\(1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches\)
So,
\( 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards\)
hope this helps
brainliest appreciated
good luck! have a nice day!
need help on this math question, by the way the first choice is incorrect, i chose that and got it wrong... thanks
Can you help me with question #1?
The equation of the line in slope intercept form that has a slope of 2 and y-intercept of (0, -19) is y = 2x - 19.
How to find the equation in slope intercept form?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's write the slope intercept equation of the line that has a slope of a and y-intercept of (0, -19) .
Therefore,
y = mx + b
y = 2x + b
Recall
b = -19
Hence, the equation of the line is y = 2x - 19.
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Find Matrix mixed questions
The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)
We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)
a) \((a^2 - b^2)\)
We can write the transpose of this matrix as
\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.
b) (A+B)(A-B)
Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)
Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)
Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.
c) ABA
Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
d) ABAB
Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)
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find the zero of the polynomial p(x)=5x-10?
Answer:
x=2
Step-by-step explanation:
hope this helps i haven't done math like this in forever
Content
Calculator
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m³
A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.
If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.
How to find the volume of the prism?The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Substituting the given values, we get:
Volume = 2 meters x 4 meters x 2 meters
Simplifying this expression, we get:
Volume = 16 cubic meters
Therefore, the volume of the prism is 16 cubic meters.
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7+69+420
Answer: 496
Step-by-step explanation:
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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can someone please answer this, please and explain if you can if you can't then don't I'll give a brain list to whoever can explain
Answer:
Hi! The equation for the table is y=4/3x-6 you can tell easily by taking a look at the 3rd row down (0,-6). 0(x) times 3 is still 0. Then 4/0 is 0, next you subtract six from 0 and you would get y= -6. Hope that helps!
Step-by-step explanation:
Prove whether each argument is valid or invalid. First find the form of the argument by defining predicates and expressing the hypotheses and the conclusion using the predicates. If the argument is valid, then use the rules of inference to prove that the form is valid. If the argument is invalid, give values for the predicates you defined for a small domain that demonstrate the argument is invalid.
The domain for each problem is the set of students in a class.
(c)Every student who missed class got a detention.
Penelope is a student in the class.
Penelope got a detention.
Penelope missed class.
(e)Every student who missed class or got a detention did not get an A.
Penelope is a student in the class.
Penelope got an A.
Penelope did not get a detention.
(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.
(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.
(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:
Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".
Hypotheses: M(Penelope), D(Penelope)
Conclusion: M(Penelope)
Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:
From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)
From D(Penelope), we have M(Penelope)
So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.
(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:
Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".
Hypotheses: A(Penelope), ~D(Penelope)
Conclusion: ~M(Penelope)
Using modus tollens, which states that if P implies Q and Q is false, then P must be false,
we can conclude that M(Penelope) is false:
From A(Penelope) and "Every student who missed class or got a detention did not get an A",
we have ~M(Penelope) & ~D(Penelope)
From ~D(Penelope), we have ~M(Penelope)
So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.
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Two less than three times a number is equal to 19. What is the number?
The best way to approach a word problem like this
is to break it down into pieces, so we can understand it fully.
In this problem, we have a number, which we don't know.
We can use any variable to represent it.
So let's use the variable n to represent it.
"Two less than three times a number" means 3n - 2.
A common mistake is for students to put 2 - 3n.
However, the word "less than" switches the order around.
So we have 3n - 2 = 19.
Solving from here, we add 2 to both sides to get 3n = 21.
Now divide both sides of the equation by 3 and we have n = 7.
So the number is 7.
Which of the following effects of a BAC of .2 percent does NOT relate to one’s driving ability?
A. lack of coordination
B. Breathalyzer test results indicating a high BAC
C. Impaired gross motor skills such as walking or gestures
D. Impaired reactions
It is either between B or C.
The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.
Breathalyzer testWhile the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.
Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.
On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.
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what is y-intercept of this problem
Answer:
the y-intercepts (s) represents the value of y(x) when x = 0. on an x,y graph, a Y-intercept is the part or the curve that crosses the y-axis.
cosider the line equation,y(x)=mx+b,a,b are constants. then, b is the Y-intercept because y(0)=m x 0 + b or y(0)=b
Step-by-step explanation:
hope it helps
So 12 divided by 30 = 12 divided by (? X?)
9514 1404 393
Answer:
6 × 5
Step-by-step explanation:
If you want to reduce the fraction 12/30, you want to find the greatest common factor of 12 and 30. We can find that by looking at the prime factorization of each number.
12 = 2·2·3
30 = 2·3·5
The greatest common factor is 2·3 = 6. This means ...
\(\dfrac{12}{30}=\dfrac{12}{6\times5}\)
The product of interest is 6 × 5.
_____
Additional comment
Any of the factor pairs of 30 could be used. Only the one shown is useful for reducing the fraction to lowest terms.
30 = 1×30 = 2×15 = 3×10 = 5×6
6.334*104=6.334*10<sup>4</sup>=
Answer:
what's that
Step-by-step explanation:
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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TRUE/FALSE. a negative covariation means that there is a negative change in the investment associated with it. group of answer choices
The answer is false. The covariance statistic gauges how closely two variables are related to one another.
What is covariayion?a connection between two quantitative variables in which the corresponding values of the second variable tend to rise when the value of the first variable tends to rise (or fall) (or decrease).
The direction of the link between two variables is measured by covariance. A positive covariance indicates that both variables frequently exhibit high or low values together. While two variables have a negative covariance, they are often low when one is high.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
please help with this question
In this case, the given sample mean of 25.3 is only slightly higher than the population mean of 25, and is well within one standard deviation from the population mean. Therefore, the probability of a sample mean being less than 25.3 is 0.9582.
What is mean?In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values in that dataset. It is also commonly referred to as the average.
Here,
To find the required probability, we need to calculate the z-score first:
z = (x - μ) / (σ / √n)
z = (25.3 - 25) / (1.3 / √68)
z = 1.73
Looking at the standard normal table, the probability of a z-score being less than 1.73 is 0.9582.
To determine whether the given sample mean would be considered unusual, we need to compare it to the population mean and standard deviation. A sample mean is considered unusual if it falls outside the range of values that are expected to occur with a high probability based on the population mean and standard deviation.
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1/2+(-5/6)+1/4
-7/12
-1/12
1/12
1 7/12
Answer:
-1/12
Step-by-step explanation:
3/6 + (-5/6) = -2/6
-2/6 = -4/12
1/4 = 3/12
-4/12 + 3/12 = -1/12
what operation do you use to convert from a larger measurement unit to a smaller measurement unit?explain why.
Answer:
Multiplication
Step-by-step explanation:
To convert from a larger unit to a smaller unit, we multiply. This is because the number will become greater since the unit is smaller.
Example:
1 m ⇒ ×100 ⇒ 100 cm
We use division when converting from a smaller unit to a larger unit since the number will become smaller as the unit becomes greater.
Example:
100 cm ⇒ ÷100 ⇒ 1 m
I hope this helps!