The length is 1 and width is 4 and height is 3.
In geometry, a cuboid is a solid or three-dimensional shape. A convex polyhedron bounded by 6 rectangular faces with 8 vertices and 12 sides is called a cuboid. A cuboid is also called a cuboid. A cuboid with six square faces is called a cube. An example of a real cube is a rectangular box. In mathematics, we can observe other shapes that are exactly the same as the cuboid. They are cuboid, cuboid, right prism, cuboid, cuboid, cuboid. Learn more about cuboids here
has a volume of 12cm^3
volume of cuboid is = length*width*height.
a*b*c = 12
and the top faces has an area of 4 cm^2
op faces has an area = a*b.
ab = 4
a = length
b = width
ab = 4 = 1x4 = 2x2
and a = 1
b = 4 because the cuboid is longer than it is width
now
abc = 12
ab = 4
c = 12/ab
c = 12/4
c = 3
length = 1 width = 4 height = 3
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A reflection in a line maps point B(3, - 1) to point B(11, - 1) . What is the equation of the line of reflection?
Check the picture below.
an inverse relationship is also called a: select one: a. direct relationship. b. negative relationship. c. proportional relationship. d. positive relationship.
An inverse relationship is also known as a negative relationship, because the correlation coefficient, is negative in an inverse relationship. Correct option is B.
An inverse relationship is a type of relationship between two variables in which they move in opposite directions. As one variable increases, the other variable decreases. In other words, when one variable changes, the other variable changes in the opposite direction.
For example, in the context of physics, the distance between two objects and the gravitational force between them have an inverse relationship. As the distance between the objects increases, the gravitational force between them decreases, and vice versa.
An inverse relationship is also known as a negative relationship. This is because the correlation coefficient, which measures the strength and direction of the relationship between two variables, is negative in an inverse relationship.
A correlation coefficient of -1 indicates a perfect inverse relationship, while a correlation coefficient of 0 indicates no relationship, and a correlation coefficient of 1 indicates a perfect positive relationship.
In contrast, a direct relationship, also known as a positive relationship, is a type of relationship between two variables in which they move in the same direction. As one variable increases, the other variable also increases, and vice versa.
In summary, an inverse relationship is a negative relationship in which two variables move in opposite directions, while a direct relationship is a positive relationship in which two variables move in the same direction.
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suppose you are asked to guess a number between 1 and 15 (inclusive), and after each guess you are told whether it is higher or lower. what is the minimum number of guesses required to guarantee that you know the number?
3 is the minimum number of guesses required to guarantee that you know the number.
If we use a binary search approach, we can guess the number in a minimum number of steps.
First, we guess the middle number, which is 8. If the answer is higher, we can eliminate all the numbers from 1 to 8, because they are lower than the answer.
Then we guess the middle number of the remaining numbers, which is 12. If the answer is lower, we can eliminate all the numbers from 12 to 15, because they are higher than the answer.
We have now eliminated half of the remaining numbers, and we are left with 6 and 7. We can guess either of these numbers, and we will know the answer with a total of three guesses.
Therefore, we can guarantee that we know the number in three guesses using this binary search approach.
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Andrea has to find a third point, C, to form a triangle on the coordinate plane shown. She is told the coordinates of its reflection point, C', across the x-axis are (2, -2) What are the coordinates of point C?
Answer:
2,2 but i could be wrong
Just wanted to say he's correct, it's 2, 2
Grayson and his friends are ordering a pizza to share. They want one vegetable topping and one meat topping. The vegetable toppings are mushrooms, broccoli, green peppers, olives, and onions. The meat toppings are pepperoni, salami, sausage, chicken, and ground beef. They can pick thick, hand-tossed, or deep-dish crust. They can also pick garlic, tomato, ranch, pesto, or barbecue sauce. Given these choices, how many different combinations can Grayson and his friends create?\
375 different combinations of pizza Grayson and his friends can create.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
The vegetable toppings are mushrooms, broccoli, green peppers, olives, and onions.
Here, n=5 r=1
So, C(n, r) = 5!/1!(5-1)!
= 5
The meat toppings are pepperoni, salami, sausage, chicken, and ground beef.
Here, n=5 r=1
So, C(n, r) = 5!/1!(5-1)!
= 5
They can pick thick, hand-tossed, or deep-dish crust.
Here, n=3 r=1
So, C(n, r) = 3!/1!(3-1)!
= 3
They can also pick garlic, tomato, ranch, pesto, or barbecue sauce.
Here, n=5 r=1
So, C(n, r) = 5!/1!(5-1)!
= 5
Number of ways = 5×5×3×5
= 375
Hence, in 375 ways they can choose pizza.
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in a certain culture of bacteria, the number of bacteria is increased sixfold in 10 hours. how long did it take for the population to double? [use the natural growth equation.]
To double, the population must increase by a factor of 2, which would take ln(2) / ln(6) = ln(2) / ln(6) * 10 hours = 2.817 hours.
To solve for the time it took for the bacterial population to double, we need to use the exponential growth formula:
[tex]N(t) = N_0 * e^{(kt)[/tex]
where N0 is the initial population, N(t) is the population at time t, k is the growth rate, and e is the base of the natural logarithm (approximately 2.71828).
Since the population is increased sixfold in 10 hours, we can set up the equation as:
[tex]N_0 * e^{(kt)} = 6 * N_0[/tex]
Taking the natural logarithm of both sides gives:
kt = ln(6).
Dividing both sides by k and using the fact that the natural logarithm of 2 is approximately 0.693,
ln(2) / ln(6) = ln(2) / ln(6) * 10 hours = 2.817 hours.
So it took approximately 2.817 hours for the population to double.
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marvin the fly starts at $(0,0).$ each step, marvin moves one unit right or one unit up. he is trying to get to his home at $(4,6)$. however, at $(1,4),$ there is a frog that will eat him if he goes through that point. in how many ways can marvin reach his home?
There are 50 ways for Marvin to reach his destination without passing through the forbidden point.
To solve this problem, we can use the unitary method. This method involves breaking the problem down into smaller, simpler units to solve it more easily.
In this case, we can break the path from Marvin's starting point to his destination into two smaller paths. The first path is from (0,0) to (1,4), and the second path is from (1,4) to (4,6).
There are five paths from the bottom left corner to the point (1,4) that do not go through the forbidden point.
Once Marvin reaches the point (1,4), he can only go up or to the right to reach his destination. So, we need to count the number of ways to get from (1,4) to (4,6)
We can visualize this by drawing another grid and counting the paths:
In total, there are
=> 5 x 10 = 50
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Someone help with this equation please!!
The angle congruence property illustrated is given as follows:
Symmetric Property of Angle Congruence.
What is states by the Symmetric Property of Angle Congruence?The symmetric property of angle congruence states that if if one geometric shape is congruent to a second shape, than the second shape is also congruent to the first.
The shapes in this problem are given as follows:
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12. If the point (3, -4) is rotated 90°
counterclockwise about the origin, what
are the new coordinates?
A. (-4,-3)
B. (4,3)
C. (-3,4)
D. (3,-4)
Answer:
(4,3)
Step-by-step explanation:
Evaluate Ix+yl, for x = 8 and y=-15.
7
23
-7
-23
Answer:
A.7
Step-by-step explanation:
You first have to add 8 and -15
Then, find the absolute value
So, the answer is 7
if the simple interest on $6,000 for a year is 900 then what is the interest rate
Work Shown:
i = P*r*t
900 = 6000*r*1
r = 900/6000
r = 0.15
That converts to 15% after moving the decimal point 2 spots to the right. It's the same as multiplying by 100.
find an obtuse angle, θ, such that 0 ≤ θ ≤ 2π and has the same sine as -275° (please explain)
The obtuse angle such that has the same sine as -275° is θ = 95°
How to find the angle θ?We want to find an obtuse angle (with a measure larger than 90°) in the range 0 ≤ θ ≤ 2π (or 0 < θ < 360°, after that we can change the units from degrees to radians) such that sin(θ) = sin(-275°)
First, remember that the sine function has a periodicity of 360°, then:
sin(-275°) = sin(-275° + 360°) = sin(85°)
Now we know that the sine function is symmetric around x = 90°
Then:
sin(90° + x) = sin(90° - x)
if we take x = 5° we will get:
sin(90° + 5°) = sin(90° - 5°)
sin(95°) = sin(85°) = sin(-275°)
Thus we can conclude that θ = 95°
That is the obtuse angle.
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. if it is assumed that all poker hands are equally likely, what is the probability of being dealt a. a flush? (a hand is said to be a flush if all 5 cards are of the same suit.) b. one pair? (this occurs when the cards have denominations where and are all distinct.)
a) The probability of being dealt a flush is approximately 0.00198, or about 0.2%.
b) The probability of being dealt one pair is approximately 0.422, or about 42.2%.
a. To find the probability of being dealt a flush, we need to first determine how many possible flush hands there are, and then divide that by the total number of possible hands. There are 4 suits in a deck of cards, so there are 4 ways to choose which suit the flush will be in.
Once we have chosen a suit, there are 13 cards of that suit, and we need to choose 5 of them. The number of ways to choose 5 cards from 13 is given by the combination formula: C(13,5) = 1287. Therefore, there are 4 x 1287 = 5148 possible flush hands.
The total number of possible hands is given by the combination formula for choosing 5 cards from a deck of 52: C(52,5) = 2598960. Therefore, the probability of being dealt a flush is 5148/2598960, which simplifies to approximately 0.00198, or about 0.2%.
b. To find the probability of being dealt one pair, we need to first determine how many possible one pair hands there are, and then divide that by the total number of possible hands. There are 13 denominations in a deck of cards, so there are 13 ways to choose which denomination will form the pair.
Once we have chosen a denomination, there are 4 cards of that denomination, and we need to choose 2 of them. The remaining 3 cards must each be a different denomination from the pair, so there are 12 denominations left to choose from, and 4 cards of each denomination.
We need to choose 3 of these 12 denominations, and then 1 card from each of those 3 denominations. The number of ways to choose 2 cards from 4 is given by the combination formula: C(4,2) = 6. The number of ways to choose 3 denominations from 12 is given by the combination formula: C(12,3) = 220.
The number of ways to choose 1 card from each of 3 denominations is 4 x 4 x 4 = 64. Therefore, the total number of possible one pair hands is 13 x 6 x 220 x 64 = 1,098,240. Dividing this by the total number of possible hands gives us the probability of being dealt one pair, which is 1,098,240/2598960, or approximately 0.422, or about 42.2%.
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Help ASAP.............
Answer: about 1587 cm^2
Step-by-step explanation: The equation for area of circle is A= πr^2 OR A= (pi/4)d^2
Given the diameter is 46.7, the radius would be half of that which is 23.35.
Simply plug it into the equation
A = π23.35^2
OR
A= (π/4)46.7^2
Since you are using 3 in place of pie, it would be 3(23.35)^2 OR (3/4)46.7^2
the answer i got was 1,635 cm^2 so your closest choice to that is 4
graph the line. y=-1/5x+5
Answer:
I have graphed it and attached it in the explanation part.
Step-by-step explanation:
five times a number is at most 15 what are the possible values for the number
Answer:
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
Step-by-step explanation:
5x <= 15
Next, we'll solve for x by dividing both sides by 5:
x <= 3
So, the possible values for the number are any value less than or equal to 3, including negative numbers.
x <= 3 represents all values such as: -∞, -100, -4, -3, -2, -1, 0, 1, 2, 3.
the file utility contains the following data about the cost of electricity during july of a recent year for a random sample of 50 one- bedroom apartments in a large city: 96 171 202 178 147 102 153 197 127 82 157 185 90 116 172 111 148 213 130 165 141 149 206 175 123 128 144 168 109 167 95 163 150 154 130 143 187 166 139 149 108 119 183 151 114 135 191 137 129 158 a. construct a histogram and a percentage polygon. b. construct a cumulative percentage polygon. c. around what amount does the monthly electricity cost seem to be concentrated?
a) The histogram for the data is illustrated below.
b) The cumulative percentage polygon is define in the histogram
c) The amount does the monthly electricity cost seem to be concentrated is 128 - 152
A histogram is a graphical representation of a frequency distribution. It consists of a set of bars that represent the frequency of data within certain intervals, also known as bins. The height of each bar represents the frequency or count of data points that fall within that bin.
To create a histogram for the electricity cost data, we need to first decide on the number and size of the bins. One common rule is to choose the number of bins as the square root of the sample size. In this case, we have 50 data points, so we can choose about 7 bins. The size of the bins can be determined by dividing the range of the data by the number of bins.
Once we have determined the number and size of the bins, we can create the histogram by drawing a set of bars with heights proportional to the number of data points that fall within each bin. The histogram can be further enhanced by adding labels for the x and y-axes, a title, and a legend.
As per the histogram, the amount does the monthly electricity cost seem to be concentrated is 128-152
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In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the ___________ come from a normal distribution.a. Response Variableb. Errorsc. Observationsd. Explanatory Variable
In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the errors come from a normal distribution.
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution centred on the mean, implying that data closer to the mean occur more frequently than data further away from the mean.
The normal quantile plot of the residuals in a simple linear regression model is used to establish if it is reasonable to think the errors are normal.
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A store pays $11 for a softball glove. The store marks up the price by 5%. What is the amount of the markup? MUST HAVE A VERY CLEAR EXPLANATION
Answer: this app should be freer
Step-by-step explanation:
Write down the percentage multiplier to find 53% of a price
The percentage multiplier to find the 53% of a price is 0.53
The given percentage value = 53%
Percentage of a quantity is defined as the number or the ratio, that can be expressed as the fraction of 100. To find the percentage of a number, divide the number by the whole quantity and multiply by 100. Percentage of a number is usually expressed as by using percentage sign "%"
Here we have to find the percentage multiplier
To find the percentage multiplier divide the given percentage by 100
The percentage value = 53%
The percentage multipler = 53 / 100
Divide the numbers
53 / 100 = 0.53
Therefore, the percentage multiplier is 0.53
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What are the factors of the cubic function f(x) = 64x³ + 27?
Choose each correct answer.
□ (16x² − 12x + 9)
□ (16x² + 12x +9)
□ (4x - 3)
□ (4x + 3)
The factors of the cubic function f(x) = 64x³ + 27 are (4x + 3) and (16x² − 12x + 9). The correct answer would be options (A), and (D).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
The cubic function is given in the question, as follows:
f(x) = 64x³ + 27
The above expression can be rewritten as:
f(x) = (4x)³ + (3)³
Compare the sum of cubic formula a³ + b³ = (a + b)(a² - ab + b²) and we get
f(x) = (4x + 3)(16x² − 12x + 9)
Thus, the factors of the cubic function are (4x + 3) and (16x² − 12x + 9).
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A pole leans away from the sun at an angle of 7°
to the vertical, as shown in Figure 27. When the
elevation of the sun is 55°, the pole casts a shadow
42 feet long on the level ground. How long is the
pole? Round the answer to the nearest tenth.
Using trigonometric ratio, the height of the pole is approximately 60 feet
What is angle of elevationThe angle of elevation is the angle between the horizontal and a line from the observer to a point above the horizontal. In other words, it is the angle between the ground and the line of sight to an object above the ground.
Using trigonometric ratio to solve the angle of elevation problem, the height of the pole can be calculated using the tangent of the triangle.
tanθ = opposite / adjacent
tan 55 = x / 42
x = 42 * tan 55
x = 59.98 ft≅ 60 feet
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LCM of x^2 -25 and x-5
Answer:10
Step-by-step explanation:
5.5 equals 25.then you subtract 25 by 25 and get zero.
y-4=3(x+2) in slope intercept form
Answer:
y = 3x + 10
Step-by-step explanation:
slope intercept form is y = mx + b
y - 4 = 3(x+2)
y - 4 = 3x + 6
y = 3x + 10
So, the answer is y = 3x + 10
Please help with triangles
The value of x is given as follows:
x = 131º.
How to obtain the value of x?An interior angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º.
Hence the measure of the top angle of the bottom triangle is given as follows:
a = 180 - 98
a = 82.
The base angles of the bottom triangle have the same measure, as the triangle is isosceles, hence, considering that the sum of the measures of the internal angles of a triangle is of 180º, their measures are given as follows:
2b + 82 = 180
2b = 98
b = 49.
Considering the vertical angles, the base angles of the top triangle are given as follows:
b = 49.
Hence the value of x is given as follows:
x = 180 - 49
x = 131º.
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A scout troop raised money for a camping trip. They made a total of $1,498 at seven bake sales. They earned the same amount at each sale. Miguel thinks they made $215 at each bake sale. Explain why the amount Miguel said is reasonable. 1,498 ÷ 7 is about ÷ = and $215 is close to $
The actual amount of sale for each bake is $214. As Miguel said it is $215 which is very close to the actual amount, it is reasonable.
To determine if Miguel's estimate of $215 per bake sale is reasonable, we can start by calculating the average amount of money the scout troop made per bake sale. We do this by dividing the total amount they earned by the number of sales they had, as follows:
Total amount earned = $1,498
Number of bake sales = 7
Average amount earned per bake sale = Total amount earned ÷ Number of bake sales
= $1,498 ÷ 7
= $214
This calculation shows that the average amount the scout troop made per bake sale was $214. This means that if they had charged a consistent price for all of their baked goods at each sale, they would have made an average of $214 per sale.
Now, we can compare this average to Miguel's estimate of $215 per bake sale. Since his estimate is very close to the actual average, we can conclude that it is reasonable.
It is possible that the scout troop charged slightly different prices for their baked goods at each sale, which could explain the small discrepancy between the actual average and Miguel's estimate. However, given that the difference between the two values is only $1, it is likely that Miguel's estimate is a good approximation of the actual amount.
Moreover, it is reasonable to assume that the scout troop earned the same amount at each bake sale, especially if they had a set price for their baked goods.
If they had charged different prices at each sale, it would have been more difficult to estimate the average amount they earned per sale, and it would have been less likely that Miguel's estimate of $215 per bake sale would have been close to the actual average.
Therefore, based on the calculation and the context of the problem, we can conclude that Miguel's estimate of $215 per bake sale is reasonable.
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Katie is 1.62 m tall George is 3cm shorter than Katie how tall is George
Help me
Solve this, it's from a worksheet about quadratic equations.
Answer:
Below
Step-by-step explanation:
L X W is area of rectangle ...this figure can be viewed as a rectangle on top of a rectangle
top rectangle is 3x-2 wide and (2x+5) - (3x-2) length
area = (3x-2)( (2x+5) - (3x-2) )
= (3x-2) ( -x + 7) = - 3x^2 + 23x -14 units^2
The bottom is then (3x-2 + 2) * (3x-2)
area = (3x)(3x-2) = 9x^2 - 6x units^2
Add the two areas together (-3x^2+23x-14) + (9x^2 -6x)
6x^2 + 17x -14 and this = 25 cm^2 (given)
6x^2 + 17x -14 = 25
6x^2 + 17x - 39 = 0 Use Quadratic Formula to find x = 1.5
then find the longest side using this value of x
3x-2 + 2 = 4.5 cm
2x+5 = 8 cm <=====longest side
Find x and y if the sequence 2y, 2xy, 2, xy/2, ... is geometric.
The value of x and y in the geometric sequence are 1/r and 1
What is geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
If the first term of the sequence is a ,second term is ar , third term = ar²
r = ar²/ar
In the sequence 2y, 2xy, 2, xy/2, ...
r = 2y/2xy
therefore r = 1/x
r = 2/2xy
r = 1/xy
therefore 1/x = 1/xy
therefore y = 1
x = 1/r
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Factor out the Greatest Common Factor (GCF): 64d^(5)-24d^(2)
Answer: [tex]8d^{2} (8d^3 - 3)[/tex]
Step-by-step explanation:
8d^2 is the GCF for this binomial
