Step-by-step explanation:
Given
length(l) = 15 cm
breadth (b) = 12 cm
height (h) = 10 cm
Surface area of cuboid
= 2 (lb + bh + lh)
= 2 ( 15 * 12 + 12 * 10 + 15 * 10)
= 2 ( 180 + 120 + 150)
= 2 * 450
= 900 cm²
Hope it will help :)
Help pls solve no. 16
Find the perimeter and round your answer to the nearest tenths. Can anyone help me with this? I cannot find any videos or examples like this and I'm extremely confused
Answer:
22.8
Step-by-step explanation:
the rectangular has :
the length CD =√[(3+3)²+(0-5)²]
= √(36+25) = √61 = 7.8
the width BC =√[(5-3)²+(3-0)²]
=√(4+9 =√13 = 3.6
so, the perimeter = 2(7.8 + 3.6)
= 2× 11.4 = 22.8
EMERGENCY! Please give me the correct answer!
Answer: 1/2 x 1/2 x 1/2 x 1/2
Step-by-step explanation:
A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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-1
3
2
0
d
N
e
4
f
d =
e =
f=
NE
Answer:
What is the question itself?
A train travels at 80 miles per hour. An equation can be written that compares the time (t) with the distance (d). What is the domain and range?
Answer:
80×t=d
Step-by-step explanation:
t means time so if the train travels 2 hours
80×2=160miles
is a growth
a) The equation with time(t) and distance(d) is 80 = d/t.
b) Domain is set of all x-coordinates and range is the set of all y-coordinates.
a) Given that, a train travels at 80 miles per hour.
We know that, speed = Distance/Time
Now, 80 = d/t
So, the equation is 80 = d/t
b) The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
Therefore,
a) The equation with time(t) and distance(d) is 80 = d/t.
b) Domain is set of all x-coordinates and range is the set of all y-coordinates.
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20 cm
20 cm
20 cm
Find the area of the figure above.
[?] cm2
Answer:
We first ALWAYS have to split the figure apart from each other,
lets split it into a triangle and a square!
Let's find the area of the triangle:
20(height) x 20(base) = 400!
400 x 1/2 (just dividing by 2) = 200!
*Remember* Formula of a triangle is:
B(base) x H(height) x 1/2 (basically dividing by 2)
Now time to find the area of the square!
20 x 20 = 400!
Now let's add both their areas:
400 + 200 = 600!
Step-by-step explanation:
600cm2 is your answer.
The figure has an area of 600 square centimeters.
In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:
\(A = A_{s} + 2\cdot A_{t}\) (1)
Where:
\(A\) - Total area, in square centimeters.\(A_{s}\) - Square area, in square centimeters.\(A_{t}\) - Triangle area, in square centimeters.By applying area formulas for squares and triangles, we expand (1):
\(A = x^{2} + \frac{1}{2}\cdot x\cdot y\) (2)
Where:
\(x\) - Side length of the square, in centimeters.\(y\) - Height of the two right triangles, in centimeters.If we know that \(x = 20\,cm\) and \(y = 20\,cm\), then the area of the figure is:
\(A = \frac{3}{2}\cdot (20\,cm)^{2}\)
\(A = 600\,cm^{2}\)
The figure has an area of 600 square centimeters.
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which ordered pair is a solution of the equation y = 4x + 3
A) 5,8
B) 3,15
C) 11,2
D) 1,16
Give an exact condition for when a rational number p, q E Z,q 0 has a a terminating base 60 representation. Prove your assertions. (b) What about base n?
A rational number p/q has a terminating base 60 representation if q is a factor of 60. This can be proven by noting that q is a factor of p if and only if the remainder of p divided by q is 0. For any base n, q must be a factor of n in order for p/q to have a terminating base n representation.
A rational number p/q has a terminating base 60 representation if q is a factor of 60. This can be proven by noting that q is a factor of p if and only if the remainder of p divided by q is 0. This can be seen by noting that if q is a factor of p, then p can be written as a multiple of q, or p = kq, where k is an integer. Thus, p/q = k, and the remainder of p divided by q must be 0. If q is not a factor of p, then the remainder of p divided by q will not be 0. Thus, for a rational number p/q to have a terminating base 60 representation, q must be a factor of 60. To determine if q is a factor of n for any base n, we must again consider the remainder of p divided by q. If the remainder of p divided by q is 0, then q is a factor of n, and the rational number p/q will have a terminating base n representation. If, however, the remainder of p divided by q is not 0, then q is not a factor of n and the rational number p/q will not have a terminating base n representation.
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linear algebreacompute anx from this formula for x for arbitrary n>0. what is a good approximation to anx for n large?
To compute anx from the given formula for x for any arbitrary n>0, we need to first determine the values of a1, a2, a3,...an. Once we have these values, we can substitute them into the formula and solve for x. However, since we don't have any information about the values of a1, a2, a3,...an, we cannot provide an exact solution for x.
Regarding the second part of your question, i.e., finding a good approximation for anx when n is large, we can make use of the concept of content loaded linear algebra. Specifically, we can use the principle of least squares to find the best fit line for a set of data points. In this case, the data points would correspond to the values of anx for different values of n.
Once we have the best fit line, we can use it to make predictions about the value of anx for large values of n. However, it's important to note that this will only be an approximation and not an exact solution.
In summary, to compute anx from the given formula, we need to determine the values of a1, a2, a3,...an. To find a good approximation for anx for large values of n, we can use the principle of least squares to find the best fit line for a set of data points.
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A tropical punch recipe calls for 300 ml of sugar for every 222 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.
Answer:
s = 150f
Step-by-step explanation:
A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.
The amount of sugar in milliliters = s
The amount of flavor packages for these recipe = f
The relationship between 2 variables
= y ∝ x
y = kx
k = constant of proportionality
Hence:
s ∝ f
s = kf
Note ,
s = 300
f = 2
300 = 2k
k = 300/2
k = 150
Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:
s = kf
s = 150f
Answer:
2=150f
Step-by-step explanation:
khan said so
If 125 ^ x = 625/(5 ^ (- x)) * I find the value of x.
The solution of the given equation is x = 2.
How to solve the equation for x?Here we have the following equation that we want to solve, it is:
\(125^x = \frac{625}{5^{-x}}\)
We want to solve this for x, remember that a negative exponent means that we need to take the inverse, then we can rewrite the right side as:
\(125^x = \frac{625}{5^{-x}} = 625*5^x\)
Now we can divide both sides by 5^x to get:
\(125^x = \frac{625}{5^{-x}} = 625*5^x\\\\(125/5)^x = 625\\\\25^x = 625\\\\\)
Now we can apply the natural logarithm in both sides, we will get:
\(ln(25^x) = ln(625)\\\\x*ln(25) = ln(625)\\x = ln(625)/ln(25)\\\\x = 2\)
That is the solution.
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please help!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
I believe the answer is D!
What’s the distance between the points that’s given on the graph?
The distance between two points:
\( \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }\)
From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:
\( \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } \)
Hence the distance between two points is √89.
Answer
√89The odd numbers from 1 through 17 are placed in the magic square so that the sum of the numbers in each row, column and diagonal are equal. What number goes in the square marked "X"?
The number that goes in the square marked "X" is 33.
To solve this magic square, we first need to find the sum of all the numbers from 1 through 17, which is 153. Since we have nine squares in the magic square, and we know that the sum of each row, column, and diagonal is equal, we can divide 153 by 3, which gives us 51.
We can start by placing the number 1 in the middle square, and then place the odd numbers in a clockwise fashion around the center, starting from the top left corner. This gives us:
9 3 1
5 X 13
15 11 7
We can now check if the sum of each row, column, and diagonal is equal to 51.
Sum of first row: 9 + 3 + 1 = 13
Sum of second row: 5 + X + 13 = X + 18
Sum of third row: 15 + 11 + 7 = 33
Sum of first column: 9 + 5 + 15 = 29
Sum of second column: 3 + X + 11 = X + 14
Sum of third column: 1 + 13 + 7 = 21
Sum of first diagonal: 9 + X + 7 = X + 16
Sum of second diagonal: 1 + X + 15 = X + 16
We know that the sum of each row, column, and diagonal should be 51, so we can set up the following
X + 18 = 51
X + 14 = 51
X + 16 = 51
X + 16 = 51 Solving for X, we get X = 33.
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what is x? answer fast please!
Answer:
\(\Huge \boxed{{x=15\°}}\)
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
We can create an equation.
x + 165 = 180
Solve for x.
Subtract 165 from both sides.
x + 165 - 165 = 180 - 165
Simplify the equation.
x = 15
Answer:
15°
Step-by-step explanation:
Angle of a line with a center is 180°
To find x:
x = 180 - 165°
x = 15°
15° is the answer.
micromedia offers computer training seminars on a variety of topics. in the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting. micromedia is currently planning a two-day seminar on the use of microsoft excel in statistical analysis. the projected fee for the seminar is $575 per student. the cost for the conference room, instructor compensation, lab assistants, and promotion is $6,930. micromedia rents computers for its seminars at a cost of $130 per computer per day. (a) develop a model for the total cost (c) to put on the seminar. let x represent the number of students who enroll in the seminar. c
The total cost (c) to put on the seminar is c = 6,930 + 130x + 575x, where x represents the number of students who enroll in the seminar.
The total cost (c) to put on the seminar can be modeled using the following equation -
c = 6,930 + 130x + 575x
here, x represents the number of students who enroll in the seminar.
The above equation takes into account the fixed costs of the conference room, instructor compensation, lab assistants, and promotion (6,930), as well as the variable costs of renting computers (130x) and the seminar fee charged to each student (575x).
As more students enroll in the seminar, the total cost will increase due to the additional computer rental and seminar fee costs.
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The measure of an angle is 24°. What is the measure of its supplementary angle?
Answer:
156 degree
Step-by-step explanation:
supplementary angle add up to 180 degree
180 - 24
= 156
Use the normal distribution of SAT critical reading scores for which the mean is 509 and the standard deviation is 108 . Assume the variable x is normally distributed. What percent of the SAT verbal scores are less than 550? If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525?
We would expect approximately 438 SAT verbal scores to be greater than 525 out of a random sample of 1000 scores.
To find the percent of SAT verbal scores that are less than 550, we can use the normal distribution with the given mean and standard deviation.
First, we calculate the z-score corresponding to an SAT verbal score of 550 using the formula:
z = (x - μ) / σ
where x is the score, μ is the mean, and σ is the standard deviation.
z = (550 - 509) / 108
≈ 0.3796
Using a standard normal distribution table or a calculator, we find that the area to the left of z = 0.3796 is approximately 0.6480.
This means that approximately 64.80% of SAT verbal scores are less than 550.
To estimate the number of SAT verbal scores greater than 525 out of a random sample of 1000 scores, we can use the same information.
First, we find the z-score corresponding to a score of 525:
z = (525 - 509) / 108
≈ 0.1481
Next, we find the area to the right of z = 0.1481, which is the probability of a score being greater than 525:
1 - 0.5616 ≈ 0.4384
The probability of a score being greater than 525 is approximately 0.4384.
To estimate the number of scores greater than 525 out of a sample of 1000, we multiply the probability by the sample size:
0.4384 * 1000 ≈ 438.4
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Divide: 2 ÷ 1
2
2
16
8
4
Answer:
Are you asking to divide 2 divided by 1 ?
If so its 2
Plz like & brainly, I'm close to next lvl
It would help :D
Write the equation of a line that is perpendicular to the given line and that passes through the given point y+ 2 = -(x - 5). (4.3) Oy=-3x+15 Oy=-3x - 9 Oy=-4x + 3 Oy=-x-11 =-
Answer:
B. y = -3x - 9
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The equation perpendicular to the given equation is y=-3x-9. Therefore, option B is the correct answer.
Given that, the equation of the line is y+2 = 1/3 (x-5) and the coordinate point is (-4, 3).
Here, the slope is 1/3
The slope of a line perpendicular to given line is m1=-1/m2
So, the slope is m=-3
Substitute m=-3 and (x, y)=(-4, 3) in y=mx+c, we get
3=-3×(-4)+c
3=12+c
c=-9
So, the equation is y=-3x-9
Therefore, option B is the correct answer.
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Three more than a number j is at most 12
Answer:
j + 3 ≤ 12
Hope this helps :)
Solution, Explanation, & Check part below
Step-by-step explanation:
1. Isolate variable by doing the inverse operation which is subtracting 3 on both sides of the equation.
j + 3 ≤ 12
- 3 - 3
j ≤ 9
j can be any number that is less than 9 or equal to 9.
Check:
9 + 3 ≤ 12
12 ≤ 12
12 is equal to 12 ✓
How do I solve for the red side of the triangle only given the other 2 sides?
This is NOT a right triangle.
The length of third side is in between 33.33 and 132.83.
What is inequality in triangles?The theorem that the sum of any two sides of a triangle is greater than or equal to the third side is known as the triangle inequality in Euclidean geometry. The theorem basically states that a straight line defines the shortest distance between two points.
Other metric spaces, or spaces that contain a means of measuring distances, have counterparts to the triangle inequality.
Given two sides of triangle are 33.33 yards and 99-100 yards(say 99.5)
There is a triangle here. Since it is not a right triangle, we must employ triangle inequality to determine the third side's length.
The longer side, 99.5 yards must be shorter than the sum of the other two sides. If the second side is c, then
99.5 < 33.33 + c.
The side c must be longer than 33.33
The side c must be shorter than the sum of the other two sides:
c < 99.5 + 33.33.
c < 132.83
Combining both we will get that
33.33 < c < 132.83.
This interval (33.33, 132.83) gives all the lengths the third side of the triangle can have.
Hence the length of third side varies between 33.33 and 132.83.
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Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
two numbers have ratio 12:5. Their difference is 98. Find the larger
number.
what is the circumference and area of a circle with a radius of 4 meters
Answer:
Area = 50.27 m
Circumference = 25.13 m
Detailed Explanation:
Radius (r) = 4 m
Area of a Circle
= πr^2
= π * r^2 = π * r * r
= 3.14 * 4^2 = 3.14 * 16
=> 50.27 m
Circumference of the Circle
= 2πr
= 2 * π * r
= 2 * 3.14 * 4
=> 25.13 m
Find the value of x.
x = [?]
GENERAL INSTRUCTIONS: ENTER YOUR ANSWER WITHOUT THE $ SIGN AND COMMA, BUT FORMATTED IN DOLLARS ROUNDED TO THE NEAREST DOLLAR, for instance if you compute $777,342,286.6478 then ENTER 777342287 AS YOUR ANSWER. DO NOT ROUND IN YOUR CALCULATION STEPS (use calculator memory functions) TO AVOID ROUNDING ERRORS. There is a little bit of tolerance built into accepting/rejecting your answer, but if you round in your intermediate calculations you may be too far off.
Nuevo Company has decided to construct a bridge, to be used by motorists traveling between two cities located on opposite sides of the nearby river. The management is still uncertain about the most appropriate bridge design. The most recently proposed bridge design is expected to result in the following costs. The construction cost (first cost) is $9,000,000. Annual operating cost is projected at $700,000. Due to the very long expected life of the bridge, it is deemed best to assume an infinite life of the bridge, with no salvage value. Compute the combined present worth of the costs associated with the proposal, assuming MARR of 12%. Note: do not include negative sign with your answer
The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.
To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.
The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.
For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.
To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,
where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.
Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.
Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.
However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.
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Help me please, I need to pass this class
Answer:
Step-by-step explanation:
20
Answer: KL IS 3 + 9 THEN 5 MINUS NINE
Step-by-step explanation: FIND KL