The value of the rectangular cuboid will be 6,355.725 mm³.
Given that:
Length, L = 7.50 x 10² mm
Width, W = 102.1 mm
Height, H = 0.083 mm
A cuboid's volume is determined by multiplying its length, breadth, and height. A cuboid is a six-sided, three-dimensional geometry where the length, breadth, and height correspond to the three perpendicular sides. Add the length, breadth, and height together to obtain the volume.
The volume of the cuboid is calculated as:
V = 7.50 x 10² mm x 102.1 mm x 0.083 mm
V = 6,355.725 mm³
Thus, the value of the rectangular cuboid will be 6,355.725 mm³.
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The complete question is given below.
Determine the volume of the cuboid.
V = 7.50 x 10² mm x 102.1 mm x 0.083 mm
What can we say about the given
figure?
A - CD = AD
B - AB = AD
C - AD = BC
D - AB = CD
Answer:
B - AB = AD
Step-by-step explanation:
you can observe that both the lines have shown equal by double arrow marks
The Davis family drove a total of 587 miles, starting on Friday and ending on Sunday. They drove 182 miles on Friday and 260 miles on Saturday. How many miles did they drive on Sunday?
Answer:
145
Step-by-step explanation:
Because what you want to do is add 260 to 182 then subtract from 587. I hope that helped! :)
Josh has 45 marbles. He shares them with his friend Ahmed in the ratio 3:2. How many marbles does each boy get?
Answer:
Josh has 27 marbles, and Ahmed has 18.
Step-by-step explanation:
3+2=5
45÷5=9
9×3=27 and 9×2=18
So Josh has 27 marbles, and Ahmed has 18.
A circular carnival ride has a diameter of 120 ft. Suppose you board a gondola at
the bottom of the circular ride, which is 6 ft above the ground, and rotate 240°
counterclockwise before the ride temporarily stops. How many feet above ground
are you when the ride stops?
Answer:
The height above ground when the ride stops is 96 feet
Step-by-step explanation:
The given diameter of the carnival ride, d = 120 ft.
The height of the ride above the ground, h = 6 ft.
The angle through which the ride is rotated, θ = 240° counterclockwise
Therefore, we have;
The radius of the ride, r = d/2
∴ r = 120 ft./2 = 60 ft.
We note that at 180° rotation, the ride is at the highest point, \(h_{max}\) = 6 ft. + 120 ft. = 126 ft.
When the ride rotates a further 240° - 180° = 60° the height drops from the maximum point by y = 60 ft. × cos (60°) = 30 ft., such that the final height above ground is therefore;
h = 126 ft. - 30 ft. = 96 ft.
The height above ground when the ride stops, h = 96 ft.
Please help I can will brainlilest
Answer:
sasha's is longer.
Step-by-step explanation:
help me, please everyone;-;
Step-by-step explanation:
Using the power law of indices:
When two numbers with the same base multiply,add the exponents that is
\( {a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5} \)
Again,when two numbers with the same base divide, subtract the exponents,that is
\( {a}^{2} \div {a}^{4 } = {a}^{2 - 4} = {a}^{ - 2} \)
There are way too many examples that is why I have elaborated the two laws for your perusal.
So for instance:
1.
\( {2}^{2} \times {2}^{5} = {2}^{7} \)
Answer:
2² × 2⁵ = 2⁷
= 128
4⁴ × 4⁶ = 4¹⁰
= 1048576
6² × 6⁷ = 6⁹
= 10077696
9⁸ × 9⁸ = 9¹⁷
= 1.6677182e+16
Do try the rest out yourself!!! You can do it!!!
AM= 2x+6, MB= 4x-2, and AB= 22, by solving for x, determine whether or not M is the midpoint of AB
Answer:
Step-by-step explanation:
I need so help with my math
We have to change the oz to lb. So we get that
\(\begin{gathered} 5oz=0.3125lb \\ 10oz=0.625lb \end{gathered}\)so the problem goes as
\(9.3125-6.625=2.6875lb\)and that is
\(2lb11oz\)The budget for a project on voting trends includes $3200 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 30 interviews for $100. Each graduate student will conduct 32 interviews for $150. Each faculty member will conduct 33 interviews for $200. No more than 20 interviewers can be hired. How many of each type of interviewer should be hired in order to maximize the number of interviews? What is the maximum number of interviews?
When no undergraduate students, graduate students, or faculty members are employed, 520 interviews are allowed.
Term definitions for faculty. a teacher who holds a position at a college or university. the words "academic" and "academician" It does, and it depends on the situation. A group of employees can be referred to as a "faculty" and the plural form is "faculties." I am a faculty member in the school of medicine. A faculty member of the School of Mathematics is my colleague. Educators, lecturers, researchers, scholars, and professors of various academic positions, such as associate professor, assistant professor, and so forth, make up a faculty. As previously mentioned, there are three levels of faculty rank: assistant, associate, and full professor.
Let xi represent the undergraduate students, graduate students and faculty students.
The maximum interview, \(P=18x_{1} +25x_{2} +30x_{3}\)
Subject to \(x_{1} +x_{2} +x_{3}\)≤20
\(100x_{1} +150x_{2} +200x_{3}\)≤3200
With \(x_{1},x_{2} ,x_{3}\)≥0
\(P_{max}=520\) when \(x_{1} =0\), \(x_{2} = 16\), \(x_{3} = 4\)
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Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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What is the volume of the prism? (Easy ig)
Answer:
Volume = 42 in.²
Step-by-step explanation:
Volume of the triangular prism = ½×b×h×l
where,
b = 4 in.
h = 3 in.
l = 7 in.
Plug in the values
Volume = ½ × 4 × 3 × 7
Volume = 42 in.³
To prove a polygon is a rectangle, which of the properties listed must be included in the proof?
help me please not understand
Answer:
1st Option.
Step-by-step explanation:
f(0) = g(0) is correct because both f(0) = -2 and g(0) = -2; they both intersect at that point and therefore the y-value is the same.
The other answer choices don't work because the y-value outputs don't match each other.
Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS
(picture is linked belowww)
tysm like fr <33
The table with the scale measurements is given by the image shown at the end of the answer.
How to obtain the measurements?The measurements are obtained applying the proportion given for each table.
The symbols are given as follows:
': feet.'': inches.For the first table, we have that every inch on the table represents one feet in real life, hence:
2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:
2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.More can be learned about scale measurements at https://brainly.com/question/29229124
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Plzz help me and thanks
Answer:
C. Last week it rained every day in San Antonio, Texas
Step-by-step explanation:
Climate is the long-term pattern of weather and temperature. The third answer does not talk about the weather of San Antonio from a long-term perspective, instead, it only discusses a week. The climate of San Antonio should refer to the rain patterns of multiple years, not days.
the given curve is rotated about the y-axis. find the area of the resulting surface. y = 1/4 x^2 − 1/2 ln(x), 3 ≤ x ≤ 5
To find the area of the resulting surface when the given curve y = 1/4x^2 - 1/2 ln(x) is rotated about the y-axis, we can use the Surface of Revolution formula:
Surface Area = 2 * pi * ∫[x * sqrt(1 + (dy/dx)^2)] dx from a to b
Here, a = 3 and b = 5.
First, we need to find the derivative of y with respect to x (dy/dx):
y = 1/4x^2 - 1/2 ln(x)
dy/dx = (1/4 * 2x) - (1/2 * 1/x) = x/2 - 1/(2x)
Now, let's plug this into the Surface of Revolution formula:
Surface Area = 2 * pi * ∫[x * sqrt(1 + (x/2 - 1/(2x))^2)] dx from 3 to 5
We will now integrate the expression within the brackets with respect to x from 3 to 5. This might be challenging to solve analytically, so we may need to use a numerical integration method or a calculator to find the exact value.
Once the integration is completed, you will obtain the surface area of the curve when rotated about the y-axis.
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Luisa recorrió una distancia de 4/5 a velocidad constante en 9 minutos ¿ que fracción de km recorrió luisa en un minuto
Luisa covered a distance of 4/45 kilometers in one minute.
We have,
Distance = Speed × Time
Let's let the distance Luisa covered be represented by d, and the speed she traveled be represented by s.
We know that she covered 4/5 of the distance at a constant speed.
d = 4/5
We also know that it took her 9 minutes to cover this distance.
Time = 9 minutes
We can rearrange the formula to solve for the speed:
speed = distance/time
Substituting the values we know:
speed = (4/5) / 9
Simplifying:
speed = 4/45 km/min
Therefore,
Luisa covered a distance of 4/45 kilometers in one minute.
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The complete question:
Luisa covered a distance of 4/5 at a constant speed in 9 minutes, what fraction of km did Luisa cover in one minute?
statistics computed for larger random samples are less variable than the statistic computed for smaller random samples
Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.
This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.
The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.
In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.
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I'll mark brainliest!
Answer:
im answering so he can have it :D
Step-by-step explanation:
Find the cosine of ZT.
√59
T
√69
U
√10
S
The cosine of ZT is (√59)/√69.
To find the cosine of ZT, we need to know the values of the adjacent and hypotenuse sides of the right triangle containing angle ZT.
From the given terms, we can see that side TU is the hypotenuse, and side US is the adjacent side. We need to find the length of these sides to determine the cosine of angle ZT.
Using the Pythagorean theorem, we can find the length of side TU:
TU² = TS² + US²
TU² = (√10)² + (√59)²
TU² = 10 + 59
TU² = 69
TU = √69
Now, we can use the definition of cosine to find the value of cos(ZT):
cos(ZT) = adjacent/hypotenuse
cos(ZT) = US/TU
cos(ZT) = (√59)/√69
Therefore, the cosine of ZT is (√59)/√69.
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I need answers asap.
POSSIBLE POINTS: 16.67
Savannah drew a map of Texas for her Geography class. According to Savannah's map scale, one half inch on the map
represents approximately 15 kilometers. If the actual distance from Austin to El Paso is approximately 360 kilometers, what is the
approximate distance between Austin and El Paso on Savannah's map?
Fill in the ratio table before solving for the answer. Make sure you spell the labels correctly and use decimals for numbers less than
one.
What is the distance in inches on the map?
inches
1 2 3
4
5
6
Next →
Answer:
24 inches
Step-by-step explanation:
What is the equation of the line that passes
through the points (4, -3) and (2, 3).
Answer:
24
Step-by-step explanation:
(4-3) + (23) = 24
if f(x)=2x²-6, then find f(4)
Answer:
Substitute x = 4 into the equation.
f(4) = 2(4)² - 6
= 2(16) - 6
= 32 - 6
= 26
A triangular prism is 8 yards long. It has a triangular face with a base of 12 yards. The volume of the prism is 720 cubic yards. What is the height of its triangular face
The height of the triangular face is 15 yards.
To find the height of the triangular face, we will use the formula for the volume of a triangular prism:
Volume = (1/2) * Base * Height * Length.
We are given the following values:
- Volume (V) = 720 cubic yards
- Length (L) = 8 yards
- Base (B) = 12 yards
We need to find the height of the triangular face (H).
Let's plug in the given values into the formula and solve for H:
720 = (1/2) * 12 * H * 8
First, simplify the equation:
720 = 6 * H * 8
720 = 48 * H
Now, divide both sides by 48 to find the value of H:
H = 720 / 48
H = 15 yards.
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in triangle, STU, ST = 52, and TU = 39. what is the range of values for the length third side
Answer:
The range of values for the third side is that;
x < 91
Step-by-step explanation:
For us to have a triangle formed, the length of the third side is smaller than the sum of the length of the two other sides
Mathematically;
Let us call the third side x
x < 52 + 39
x < 91
Help pls will give brainlist ignore the back stuff btw
The answer would be:
-2a^2
Answer:
I need brainlist too.... but the answer is the second on
Phoebe want to invest $10,000.
● Account A earns 9% simple interest.
● Account B earns 9% interest compounded annually.
To determine which account would be a better investment for Phoebe, we need to calculate the future value of each account after one year and compare them.
Account A earns simple interest, which means that the interest is calculated only on the initial investment. After one year, the investment in Account A would be worth:
$10,000 + ($10,000 x 0.09) = $10,900
Account B earns interest that is compounded annually, which means that the interest is calculated on the initial investment plus any previously earned interest. After one year, the investment in Account B would be worth:
$10,000 x (1 + 0.09)^1 = $10,900
As we can see, both accounts would have the same value of $10,900 after one year. Therefore, the choice between the two accounts depends on Phoebe's investment goals and preferences.
If Phoebe wants a simple and straightforward investment that provides a guaranteed return, Account A would be the better choice.
If Phoebe is willing to take on some risk and wants the potential for higher returns, Account B would be the better choice as the compounding of interest can lead to a higher return over a longer period of time.
Triangle XYZ has coordinates X(5, -1), Y(6, 3), and Z(7, 2). If the triangle is dilated by a scale factor of 2, what are the coordinates of Y'?
HELP
If the triangle is dilated by a scale factor of 2, the coordinates of Y' are: (12, 6).
What is dilation?Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor that is being used.
What is scale factor?A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two (2) similar geometric figures such as triangles.
For the given coordinates of triangle XYZ, the dilation with a scale factor of 2 about the origin (0, 0) or a center of dilation would produce an image with this Y' coordinates:
Coordinate Y (6, 3) → Coordinate Y' (6 × 2, 3 × 2) = Coordinate Y' (12, 6).
In conclusion, the coordinates of Y' in the image of triangle XYZ are (12, 6).
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explain what is the function of ‘unsupervised learning’? group of answer choices find interesting angles of data points in the data space find low-dimensional representations of the data interesting coordinates and correlation find clusters of the data
Unsupervised learning involves finding interesting angles of data points in the data space. The Option A.
What are the functions of unsupervised learning?Unsupervised learning serves several key functions in data analysis. By exploring the data space, it aims to identify intriguing angles or perspectives of the data points that may reveal hidden patterns or relationships.
It also seeks to uncover low-dimensional representations of the data, allowing for more efficient processing and analysis. Through identifying interesting coordinates and correlations within the data, its provide insights into how variables may be related or contribute to certain outcomes.
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