Answers
Lateral area = 1936 in²
Surface area = 2904 in²
STEP - BY - STEP EXPLANATION
What to find?
• Lateral area
,• Surface area
Given:
edge length (a) = 22
To find the lateral area of the cube, we will use the formula below:
Lateral area = 4a²
where a =22
Substitute into the formula and simplify.
Lateral area = 4(22)² = 1936in²
To calculate the surface area, we will use the formula below:
Surface area = 6a²
Substitute a = 22 and simplify.
Surface area = 6(22)²
=2904 in²
Therefore, the correct option is L = 1936in² and S=2904 in².
Related Questions
The following pieces of empirical evidence have been collected over the years: Historical trend data show an increase in temperature globally Levels of carbon dioxide gas are on the rise Levels of methane gas are on the rise Glacial ice is melting Antarctic and Artic sea ice is melting Which statement best explains the significance of this empirical evidence?
a
It provides a hypothesis for the climate of the past.
b
It provides data for science journals and textbooks.
c
It supports the scientific explanation for global warming.
d
It predicts future weather patterns.
Answers
Answer:
C. It supports the scientific explanation for global warming.
Explanation:
The listed pieces of empirical evidence support the scientific explanation for global warming. Global warming is the long-term heating of Earth's climate, and the increase in levels of carbon dioxide and methane is the reason why glacial ice in the Antarctic and Arctic sea is melting.
These pieces of evidence don't deal with the past of the future. They tell us what is going on right now. Based on them, we could make an assumption about what is going to happen in the future, but there are no predictions here.
Also, this data can be used for science journals and textbooks, but that purpose is not expressed here.
This leaves us with option C as the correct one.
Yuri drew triangle ABC then reflected it over line m to create triangle WXY.
Yuri concludes that the triangles are congruent. Which is a correct validation for this conclusion?
When the triangle was reflected, the height of the resulting triangle is parallel to the height of the original triangle.
When the triangle was reflected, the base of the resulting triangle lies on the same line as the base of the original triangle.
When the triangle was reflected, the corresponding sides and angle measures of the resulting triangle are the same as the original triangle.
When the triangle was reflected, the corresponding sides of the resulting triangle have slopes that are opposite to the slopes of the original triangle.
Answers
Answer:
C
Step-by-step explanation:
t - 2(3 – 2t) = 2t + 9
Answers
Answer:
t=-1
Step-by-step explanation:
t - 2(3 - 2t) = 2t - 9
t - 6 + 4t = 2t - 9
5t - 6 = 2t - 9
5t - 2t = -9 + 6
3t = -3
t= -1
the sum of two numbers is 25 and their products is 136. find the number
Answers
The two numbers whose sum is 25 and product is 136 are 17 and 8
What is simultaneous equation?
Simultaneous equations are equations whose unknown values are determined together because the equations are dependent.
In this case, we assume the two number are X and Y, which means X plus Y is 25
X+Y=25 .........(equation 1)
In the same vein, the product of X and Y is 136
XY=136 ......(equation 2)
In equation 1, we can make X the subject
X=25-Y
Let us substitute for the value of X in equation 2
(25-Y)*Y=136
25Y-Y^2=136
Y^2-25Y+136=0
25 can be split into 17 and 8 and when multiplied would give 136
Y^2-17Y-8Y+136
Y(Y-17)-8(Y-17)
(Y-17) or (Y-8)
Y-17=0
Y=17
Y-8=0
Y=8
It either Y is 17 and X is 8 or the other way round, in essence, the two numbers are 17 and 8
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`
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y=2x+6
Step-by-step explanation:
Simplify 2x^2-7x-4/x^2
Answers
Answer:
Option 1
Step-by-step explanation:
\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)
What is an equation of the line that passes through the points (-3, 3) and (3, – 7)?
Answers
Answer:
y=-5/3x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-3)/(3-(-3))
m=-10/(3+3)
m=-10/6
m=-5/3
y-y1=m(x-x1)
y-3=-5/3(x-(-3))
y-3=-5/3(x+3)
y=-5/3x-15/3+3
y=-5/3x-5+3
y=-5/3x-2
Figure 1 and Figure 2 below are similar. Which point corresponds to point V?
Answers
Answer:
Point Q
Step-by-step explanation:
Point Q corresponds to Point V, because if you turn the green triangle around, it matches almost exactly the same.
Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answers
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
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Step-by-step explanation:
pls help me due t
in 1 hrs I'll give u brainliest answer
If x²+y²=125 and xy=22, find the value of (x+y)².
Answers
\(\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169\)
\(\huge \bf༆ Answer ༄\)
Here's the solution ~
\( \sf(x + y) {}^{2} \)\( \sf {x}^{2} + {y}^{2} + 2xy\)[ by using formula ]
\( \sf125 + (2 \times 22)\)\( \sf125 + 44\)\( \sf169\)I hope it helps ~
The total number of atoms represented by Cd(CH₂CICO₂)2 is:
O a) 13
Ob) 16
O c) 17
Od) 15
Oe) 14
Answers
The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
What is addition?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.
Cd(CH₂CICO₂)₂ contains:
1 cadmium (Cd) atom
2 carbon (C) atoms
6 hydrogen (H) atoms
4 oxygen (O) atoms
2 chlorine (Cl) atoms
Adding these up, we get:
1 + 2 + 6 + 4 + 2 = 15
Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
The answer is (D) 15.
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Which expression are equivalent to -3(2w+6)-4
Answers
Answer:
B. 2(-3w+(-11)
Step-by-step explanation:
-3(2w+6)-4=
-6w-18-4=
-6w-22=
2(-3w+(-11)
Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?
Answers
Answer:
495 different waysStep-by-step explanation:
This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;
nCr = n!/(n-r)!r!
For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;
12C4 = 12!/(12-4)!4!
12C4 = 12!/8!4!
12C4 = 12*11*10*9*8!/8!*4*3*2
12C4 = 12*11*10*9/24
12C4 = 11880/24
12C4 = 495 ways
Hence this can be done in 495 different ways
Just help me please anyone
Answers
Answer: Volume = 179.4 inches cubed
Step-by-step explanation:
Volume = 1/3 * height * length * width
V = (1/3) * 11.5 * 6 * 7.8
V = 179.4
true/false. the student knows that the relationship between the spring constant (k), the mass (m), and the period of oscillation (t) is given by the equation (19) this is not a linear equation, but it can be linearized using the same method used to linearize equation 10.
Answers
The statement “The relationship between the spring constant (k), the mass (m), and the period of oscillation (t) is given by the equation (19) this is not a linear equation, but it can be linearized using the same method used to linearize equation 10.” is true because equation 19 can indeed be linearized with the same method used to linearize equation 10.
Equation 10 is a non-linear equation and can be linearized by taking the natural logarithm of both sides. This will convert the equation into a linear form which can be used to calculate the parameters of the original equation.
Similarly, equation 19 can be linearized by taking the natural logarithm of both sides. The linearized form of equation 19 will also be useful in finding out the parameters of the original equation.
By linearizing the equations, it becomes easier to solve for the parameters of the equations. This is because linear equations are much simpler and can be solved using basic algebraic methods.
Linear equations can also be solved using matrix methods and can be used to solve for the parameters of the original equations more accurately.
Therefore, it is true that equation 19 can be linearized using the same method used to linearize equation 10. This will make it easier to solve for the parameters of the original equation.
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Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
Answers
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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−0.22+�−0.33−0.22x+x−0.33x?
Answers
The answer to the equation −0.22x + x − 0.33x is 0.11x.
The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:
−0.22x + x − 0.33x = −0.22 + 0.33x
We then subtract x from both sides of the equation, resulting in:
−0.22x − x = −0.22 + 0.33x − x
We then combine like terms on the left side of the equation, resulting in:
−1.22x = −0.55
Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:
x = 0.11
Therefore, the answer is 0.11x.
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Complete question
What is the value of -0.22+−0.33−0.22x+x−0.33x?
Are these Triangles Similar? How do you know?
Yes, because their ratios are the same
O Yes because their ratios are not the same
O No, because theur ratios are the same
No, Because their ratios are not the same
Answers
Answer:
O No, because their ratios are the same
Step-by-step explanation:
By ratio, it refers to side lengths.
If we write the side lengths as fractions:
\( \frac{10}{5} \)
and
\( \frac{4}{3} \)
if we cross multiply fractions it must be equal for the triangles to be similar but the result is
30 and 20 so the triangles are not similar because the ratios are not same or equal.
Ben can do 50 sit-ups in 4 minutes.At this rate how many sit-ups can he do in 10 minutes.
Answers
Hope this helps!
Brainliest if correct
Answers
Combine like terms:
-5u + 5u = 0
The you are left with just -8
Answer: -8
Answer:
-8
Step-by-step explanation:
-5u+5u-8=(-5+5)u-8
=(0)u-8
=-8
MATH
Systems of Linear Equations
1. Determine if each system of equations below is linear or nonlinear.
A. -9x+8y = 9x 7y+8=8x
Linear or nonlinear?
D. 6y+x=12 y-x=1-x
B.
2.3y+1.2x = 0
1.1x+0.1y 1.2
C.
2 7-3y=- 2x+9= 3y
Linear or nonlinear?
Linear or nonlinear?
E. 45x + y = 12 y+x² = 1-x²
Linear or nonlinear?
G
0.2x+9.1y9.1√x
7x+1=8√y
Linear or nonlinear?
F. x+8y = 81 x-7y = 32
Linear or nonlinear?
H.
98317y= 1010 + 2965x
-71389y=5692x - 1001
3 xx y-5= 1 zy+3x=-21
Linear or nonlinear?
Linear or nonlinear?
Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
Answers
The system of equations -9x+8y = 9x and 7y+8=8x is linear.
A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.
In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).
Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).
Therefore, the system of equations is linear.
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Please help. I don’t understand this
Answers
Answer:
0.02
Step-by-step explanation:
I guess this means getting 45 just with 1 try.
so, then the probability to get 45 is the same as for any other of the 50 possible numbers :
expected outcomes / all possible outcomes = 1/50 = 0.02
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Answers
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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Why is this statement false?
If a number has 2 and 4 as factors, then it has 8 as a factor.
Answers
Answer:
It is false
Step-by-step explanation:
It is false because 12 has the factors of 2 and 4 but 8 is not a factor of 12.
The statement is false. If a number has 2 and 4 as factors, it doesn't mean that it has 8 as a factor.
The fact that a number has 2 and 4 as factors, doesn't mean that the number will have 8 as a factor. For example, 4 and 12 have both 2 and 4 as factors but don't have 8 as a factor
Factors of 4 = 1, 2 and 4.Factors of 12 = 1, 2, 3, 4, 6 and 12.Therefore, the fact that a number has 2 and 4 as factors doesn't mean that it has 8 as a factor.
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Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Answers
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
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-)))
2) The circumference of a circle is 8cm . What is the DIAMETER of the circle?
A) 2 cm
B) 4 cm
c) 6 cm
D) 8 cm
Answers
Answer:
Step-by-step explanation:
D
Solve by graphing x-2y=4. X+3y=14 the y-coordinate of the solution is y=?
Answers
The y-coordinate of the solution of the equation will be 2.
Given that:
x - 2y = 4
x + 3y = 14
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the slopes are different then the lines are intersecting.
And if the slopes are different then the system has one solution.
The lines are drawn on the graph and their intersection point will be (8, 2).
The y-coordinate of the solution of the equation will be 2.
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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?
Graph shows upward parabola plotted on a coordinate plane. The parabola has vertex at (2, minus 8) with the left slope at (0, 0) and the right slope at (4, 0).
f(x) = x
(x −
)
f(x) =
(x −
)2 +
Answers
Answer:
\(\textsf{Factored form}: \quad f(x)=2x(x-4)\)
\(\textsf{Vertex form}: \quad f(x)=2(x-2)^2-8\)
Step-by-step explanation:
Factored form of a quadratic function
\(f(x)=a(x-p)(x-q)\)
where:
p and q are the x-interceptsa is some constantGiven x-intercepts:
(0, 0)(4, 0)Therefore:
\(\implies f(x)=a(x-0)(x-4)\)
\(\implies f(x)=ax(x-4)\)
To find a, substitute the given vertex (2, -8) into the equation and solve for a:
\(\implies 2a(2-4)=-8\)
\(\implies -4a=-8\)
\(\implies a=2\)
Therefore, the function's equation in factored form is:
\(f(x)=2x(x-4)\)
Vertex form of a quadratic equation
\(f(x)=a(x-h)^2+k\)
where:
(h, k) is the vertexa is some constantGiven:
vertex = (2, -8)Therefore:
\(\implies f(x)=a(x-2)^2-8\)
To find the constant a, substitute one of the x-intercepts into the equation and solve for a:
\(\implies a(0-2)^2-8=0\)
\(\implies 4a-8=0\)
\(\implies a=2\)
Therefore, the function's equation in vertex form is:
\(f(x)=2(x-2)^2-8\)
x intercepts=0,4
So the equation
y=a(x-b)(x-c)y=ax(x-4)Now put vertex and find a
-8=a(2)(2-4)-8=2a(-2)a=-8/-4a=2So equation
y=2x(x-4)what is the value of x^2 - 6x + 9 when x = 2 + i?
Answers
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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Plz hurry! Which set of numbers are irrational numbers?
Answers
Answer:
b
Step-by-step explanation: