Answer:
82 mm²
Step-by-step explanation:
You want to know the surface area of a rectangular prism with dimensions 1 mm, 5 mm, and 6 mm.
AreaThe surface area can be found using the formula ...
A = 2(LW +H(L +W))
A = 2(5·6 + 1(5 +6)) = 2(30 +11) = 82 . . . . . square mm
The surface area is 82 square millimeters.
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3/5+3/5 negative or positive
Answer:
positive
Step-by-step explanation:
3/5 + 3/5 = 6/5 positive
63 > -73
I need help plssss
Answer:
that statement is true
is this the answer you are looking for?
Answer:
True
Step-by-step explanation:
which graph shows the line y=-3x+1? graph a graph b
The graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
How to determine the graph?The equation is given as:
y = - 3x + 1
The above equation is a linear function
A linear function is represented as:
y = mx + c
Where m represents the slope and c represents the y-intercept
This means that the graph of y = - 3x + 1 has a slope of -3 and a y-intercept of 1
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Write an equation in slope-intercept form of the line that passes through
the point (-1,6) and is perpendicular to the graph of y= 1/4x + 3
4 1/2 + 6 1/4
that my question
Answer:
Step-by-step explanation:
10 3/4
1) megan is making a quilt from squares of material. the quilt has 9 rows of 6 squares. the
corner squares and the two center squares in the middle row are white. each square sharing a
side with a white square is gold. of the remaining squares, half are blue and half are pink.
a)
how many squares are gold?
how many squares are blue?
b)
The total number of gold and blue squares are 18 and 13 respectively.
Here, we are given that Megan is making a quilt from squares of material.
The quilt has 9 rows and each row has 6 squares.
There are 4 corner squares in the quilt which will be white. Around 1 corner square there will be 3 squares that share a side with the white square.
Thus, there will be a total of 12 gold square around the 4 corner squares.
Further, there are two center squares in the middle row that are white.
Around these 2 center white squares there will be 6 squares that share a side with them. Hence, these 6 square will also be gold.
Therefore, the total number of gold squares will be-
6 + 12
= 18
Now, the white squares = 4 + 6 = 10
and gold squares = 18
and the total number of squares = 9 × 6 = 54
Thus, the number of remaining squares = 54 - 18 - 10
= 26
Out of these remaining 26 squares half will be blue and half pink.
Thus, the number of blue squares will be-
26/2
= 13
Hence, we find that the total number of gold and blue squares are 18 and 13 respectively.
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Find the circumcenter of the triangle formed by the vertices (4 2) (3 3) and (2 2)
Coordinate of circumcenter of the given triangle = (3, 2)
What is circumcenter of a triangle?
Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.
Let the coordinate of circumcenter be (x , y)
Distance of Circumcenter from (4,2) =
\(\sqrt{(x - 4)^2 + (y-2)^2\)
Distance of Circumcenter from (3, 3) =
\(\sqrt{(x - 3)^2 + (y-3)^2\)
Distance of Circumcenter from (2,2) =
\(\sqrt{(x - 2)^2 + (y-2)^2\)
By the problem,
\(\sqrt{(x - 2)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 2)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 4x + 4 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\6x - 4x +6y -4y = 18-8\\2x +2y = 10\\x+ y = 5\\\)..... (1)
Again,
\(\sqrt{(x - 4)^2 + (y-2)^2} = \sqrt{(x - 3)^2 + (y-3)^2}\\(x - 4)^2 + (y-2)^2} = (x - 3)^2 + (y-3)^2}\\x^2 - 8x + 16 + y^2 -4y + 4 = x^2 -6x + 9 + y^2-6y + 9\\8x - 6x +4y -6y = 20-18\\2x -2y = 2\\x- y = 1\\\)...... (2)
Adding (1) and (2)
\(2x = 6\\x = \frac{6}{2}\\x = 3\)
Putting the value of x in (1),
3 + y = 5
y = 5 - 3
y = 2
Coordinate of circumcenter = (3, 2)
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graph a line that passes through the points 0,5 and 5,0
Answer:
the answer is (0,5) if you want to find the slope
Help me with this question please this is due today
what is the equation of the line in slope-intercept form?
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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A fan blade rotates with angular velocity given by ωz(t)= γ − β
t2.
Part C If y = 4.65 rad/s and ß= 0.835 rad/s³, calculate the average angular acceleration Cav-z for the time interval t = 0 to t = 3.00 s. Express your answer in radians per second squared. 15| ΑΣ�
Average angular acceleration Cav-z for the time interval t = 0 to t = 3.00 s is -0.2266 rad/s².
Given data:ωz(t) = γ - βt² = -βt² + γWhere, β = 0.835 rad/s³y = ωz(t) = 4.65 rad/s
To find:Average angular acceleration Cav-z for the time interval t = 0 to t = 3.00 s.
Average acceleration formula is given as:Cav-z = Δω/Δt
We can calculate Δω as follows:Δω = ωf - ωi
Where,ωf = final angular velocityωi = initial angular velocity
Since the time interval is given from t = 0 to t = 3 s, initial angular velocity is:ωi = ωz(0) = γ = constant = 5.33 rad/s
Final angular velocity is given as:ωf = ωz(t) = 4.65 rad/sΔω = ωf - ωi = 4.65 - 5.33 = -0.68 rad/s
Now, we can calculate Δt = 3 - 0 = 3 s
Therefore, the average angular acceleration Cav-z is:Cav-z = Δω/Δt= -0.68/3= -0.2266 rad/s²
Answer:Average angular acceleration Cav-z for the time interval t = 0 to t = 3.00 s is -0.2266 rad/s².
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2. How many stages can the stress-strain curve of structural
steel with a yield point be divided into? What are the
characteristics of each stage?
The stress-strain curve of structural steel with a yield point can generally be divided into three stages: elastic deformation, yielding, and plastic deformation.
In the first stage, known as elastic deformation, the steel material exhibits a linear relationship between stress and strain. This means that when stress is applied, the steel deforms elastically and returns to its original shape once the stress is removed. The steel behaves like a spring during this stage, with the deformation being directly proportional to the applied stress.
The second stage is the yielding stage. At this point, the stress-strain curve deviates from linearity, and plastic deformation begins to occur. The steel reaches its yield point, which is the stress level at which a significant amount of plastic deformation starts to take place. The material undergoes permanent deformation during this stage, even when the stress is reduced or removed.
The third stage is the plastic deformation stage. In this stage, the steel continues to deform plastically under increasing stress. The stress-strain curve shows a gradual increase in strain with increasing stress. The material may exhibit strain hardening, where its resistance to deformation increases as it continues to stretch. Ultimately, the steel may reach its ultimate strength, after which it may experience necking and eventual failure.
Overall, the stress-strain curve of structural steel with a yield point is characterized by the initial linear elastic deformation, followed by yielding and plastic deformation. These stages represent the steel's ability to withstand and accommodate varying levels of stress before reaching its breaking point.
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Directions: Solve each of the following equations.
a. Combine like terms
b. Then isolate the variable if necessary
c. Follow rules for signed numbers
1. 10t + 8t - 2t = 16
2. 24m + 24m = 96
3. 26=11n + 2n
4. 20a - 3a = 34
5. 180x + 4 = 64
6. 15x - 25 = 200
7. 5s + 3s = 32
8. 12t + 2t = 28
9. 14s + 35s - 7s = 42
10. 114s - 14s + 12s = 12
11. 76x + 23x = 33
12. 140r - 28r - 4r = 216
13. 98c - 99c = 1
14. 102mn + (-84mn) = 36
15. 117j - 234j = 234
Answer:
Here are the answers:
Step-by-step explanation:
1. t=1
2.m=2
3.n=2
4.a=2
5.x=1/3 or 0.3
6.x=15
7.s=4
8.t=2
9.s=1
10.s=3/28, or 0.10714285
11.x=1/3, or 0.3
12.r=2
13.c=-1
14. \(m= \frac{2}{n} \), n ≠ 0
n=\(\frac{2}{m} \), m ≠ 0
15. j= -2
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Answer:
here is some
Step-by-step explanation:
1. t=1
2.m=2
3.n=2
4.a=2
If $2x-y=7,$ what is the value of $7-8x+4y$?
Answer:
\(7-8x+4y=-21\)
Step-by-step explanation:
\(2x-y=7 \implies 8x-4y=28 \\ \\ \implies 7-8x+4y=7-28=-21\)
eight identical machines produce the same parts at the same rate. the 8 machines complete the required number of parts in 6.5 hours. how many hours does is take 12 machines to produce the same number of parts?
It becomes
\($$\begin{aligned}5: 8: & 6.5: x \\5 \times x & =8 \times 6.5 \\x & =\frac{8 \times 6.5}{5} \\x & =\frac{52}{5} \\x & =10.4\end{aligned}$$\)
Therefore,
5 machines will take $10.4$ hour to produce the same number of parts.
What is equal rate?Equivalent interest rates are interest rates that produce the same future value after one year. For example, 10% compounded quarterly and 10.125% compounded semiannually are equivalent nominal interest rates. If you calculate the future value of $100 invested at either rate for one year, you will obtain $110.38.
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The school physics class has built a trebuchet (catapult) that is big enough to launch a watermelon. the math class has created the function h(t) = -16( t - 5)2 + 455 to model the height, in feet, after t seconds, of a watermelon launched into the air from a hilltop near the school the x - intercepts of this function are (-0.33 , 0) and (10.33 , 0)
the watermelon is hitting the ground at around ____ seconds
The watermelon is hitting the ground at around 10.33 seconds.
To find out when the watermelon hits the ground, we need to look for the time when the height of the watermelon is zero. This is because the watermelon will be on the ground at that point.
The x-intercepts of the function h(t) give us the times when the height is zero. So, we know that the watermelon will hit the ground at t = -0.33 seconds and t = 10.33 seconds.
However, the negative value doesn't make sense in this context, so we can ignore that solution. Therefore, the watermelon is hitting the ground at around 10.33 seconds.
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Find the mean, median, and mode of the data. 2,4,3,1,5
Answer:
Step-by-step explanation:
the mean is 3
the median is 6
the modes I believe would be all because none of the numbers repeat.
Factor completely: 1-1/8p^3
Answer:
the answer is on the picture
Step-by-step explanation:
a = 1 and b = \(\frac{1}{2}p\\\)
(1- \(\frac{p}{2}\)) \(\frac{1}{4}\) (4+ 2p +p^2)
CALCULUS: Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) - sin(t) and v(0) = 3.
A. v(t) = sin(t) + cos(t) + 3
B. v(t) = sin(t) + cos(t) + 2
C. v(t) = sin(t) - cos(t) + 3
D. v(t) = sin(t) - cos(t) + 4
I picked A., which was marked wrong, although I truly believe that is the answer because I got sin(t) - (-cos(t)) + 3. Please tell me whether you believe this is right or am I doing something wrong. I really want to learn/master this concept. Thanks is advance.
Answer:
B. v(t) = sin(t) + cos(t) + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Function NotationCalculus
Antiderivatives - Integrals
Integration Constant C
Solving Integration Equations
Integration Property [Addition/Subtraction]: \(\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx\)
Step-by-step explanation:
*Note: Remember that the velocity function is the integral of the acceleration function/acceleration is the derivative of velocity.
\(\displaystyle v'(t) = a(t)\\v(t) = \int {a(t)} \, dt\)
Step 1: Define
a(t) = cos(t) - sin(t)
v(0) = 3
Step 2: Integrate
Set up integral: \(\displaystyle v(t) = \int {cos(t) - sin(t)} \, dt\)[integral] Rewrite [Integration Property - Subtraction]: \(\displaystyle v(t) = \int {cos(t)} \, dt - \int {sin(t)} \, dt\)[Integral] Trig integration: \(\displaystyle v(t) = sin(t) - [-cos(t)] + C\)[Velocity Integration] Simplify: \(\displaystyle v(t) = sin(t) + cos(t) + C\)Step 3: Find Function
We need to solve for the entire function, meaning we need to find constant C.
Substitute in given point [Velocity Integration]: \(\displaystyle v(0) = sin(0) + cos(0) + C\)[Velocity Integration] Substitute: \(\displaystyle 3 = sin(0) + cos(0) + C\)[Velocity Integration] Evaluate trig: \(\displaystyle 3 = 0 + 1 + C\)[Velocity Integration] Add: \(\displaystyle 3 = 1 + C\)[Velocity Integration] Isolate C [Subtraction Property of Equality]: \(\displaystyle 2 = C\)[Velocity Integration] Rewrite: \(\displaystyle C = 2\)[Velocity Function] Substitute in C [Velocity Integration]: \(\displaystyle v(t) = sin(t) + cos(t) + 2\)Topic: Calculus
Unit: Basic Integration
Book: College Calculus 10e
GIVING BRAINLEST The following is a chemical reaction.
Which side of the chemical Reaction is the REACTANTS,
and which side is the PRODUCTS?
Oxygen
Hydrogen
+
=
Water
2H + 0 = 24,0
AR
Both sides have reactants of the reaction
The left side is the Reactants and the right side is the products
Both sides have products of the reaction
K
The right side is the Products and the left side is the reactancts
Average Tim correctly answers 12 out of 18 questions in a trivia game assuming the situation is proportional how many more questions is he likely to get correct if there are 30 questions and all
Answer:
Step-by-step explanation:
12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions
So if there are 30 questions total, he will get 20 right (30 x 2/3)
If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct
Qn in attachment . ..
Answer:
I believe it's asking, what is m + n, and it has given those values: 10 and 16. So, following this thinking, the answer is 16 + 10 = 26, so the correct answer would be: (d) 26
Which description best describes the graph?
Answer:
Its C
Step-by-step explanation:
The line is not straight so it is not linear and it is going upwards so it is increasing
HELP IM DOING A MATH TEST PLSSSS 25 PTS
One hundred tomato plants were randomly selected from a large garden, and a 90% confidence interval was computed to determine the true proportion of plants that produce useable tomatoes. The interval is 0.86 to 0.92.
What would happen to the width of the confidence interval if the confidence level increased to 95%?
Answer:
The width of the interval would increase.
Step-by-step explanation:
the t value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom is -
The t-value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom is 2.03.
To calculate the t value for a 98% confidence level with a sample standard deviation and 52 degrees of freedom, we used the t-distribution table. The t-distribution table has two variables: degree of freedom and confidence level.
The first step was to locate the row in the table that corresponds to the given degrees of freedom (df=52). The next step was to locate the column in the table that corresponds to the given confidence level (98%). the t -value for the given df and CL was located at the intersection of the row and column, which is -2.03. essentially the t-distribution table provides a range of values for the amount of variability that is expected within a given sample.
The t-value is the point within the range that will represent the 98% confidence level for the sample with 52 degrees of freedom. the t-value of -2.03 indicates that the sample has a 9.8% chance of falling within a range of values that is two standard deviations away from the mean.
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TRUE / FALSE. 1:24,000 is an example of a verbal statement. group of answer choices
Answer:
False.
Step-by-step explanation:
The statement "1:24,000" is not an example of a verbal statement. It is a numerical ratio or scale commonly used in cartography and map scales. Verbal statements typically involve spoken or written language rather than numerical representations. :)
\( {3a}^3b -54b\)
factorize it plz
Answer:
\(3b(a^{3} - 18)\)
Step-by-step explanation:
\(3a^{2}b-54b\) => \(3b(a^{3} - 18)\)
Answer:
Step-by-step explanation:
\(\Large \boldsymbol{} 3a^3\underline b-54\underline b=b(3a^3-54)=\boxed{3b(a^3-18)}\)
Find the measure of angle f given the information below.
Answer:
53 degrees
Step-by-step explanation:
This is a transversal question (look at attached). Because the lines are parallel, g will equal to 180(a straight line is 180 degrees) - a. Then, because g + f + e = 180 (since it is a straight line), substitute the values that we know and solve. (61) + f +(66) = 180. f = 53
help please! i’ll give brainlest or whatever it’s called
Which of the following is true about a trend line for data?
A. The minimum data point always lies on the trend line.
B. Every data point must lie on the trend line.
C. The trend line describes the pattern in the data if one exists.
D. The trend line includes the effect of all outliers in the data.
Answer:
C on edge
Step-by-step explanation: