Final answer:
The surface area covered by the banner is 27,000 square meters. The side length of a square with the same area would be approximately 164.3 meters.
Explanation:
The office building is a right rectangular prism with a height of 200m, a length of 60m, and a width of 40m. The upper quarter of each vertical face needs to be covered with a large banner.
To find the surface area covered by the banner, we need to calculate the surface area of each vertical face. The surface area of a rectangular prism is given by the formula 2lw + 2lh + 2wh. Since we need to cover the upper quarter of each face, we can consider only three quarters of the height, resulting in a formula of 2lw + (3/4)lh + 2wh.
Plugging in the given values, we get:
Surface area = 2(60)(40) + (3/4)(200)(60) + 2(40)(200)
Simplifying the expression, we get the surface area covered by the banner to be 27,000 square meters.
If we want to represent the area as a square with the same area, we can take the square root of the surface area. In this case, the side length of the square representing the area would be approximately 164.3 meters.
Factor.
8x5+4x2−12
Question 1 options:
4(2x5+x2−3)
4(2x5+4x2−12)
4x2(2x3+x−3)
Answer:
[tex]4(2x^5+x^2-3)[/tex]
Step-by-step explanation:
The question is to factorize [tex]8x^5+4x^2-12[/tex]
What is common from all 3 terms? It is the factor 4, so we take out 4 and write the remaining as "factorized form".
(Work shown below):
[tex]8x^5+4x^2-12\\=4(2x^5+x^2-3)[/tex]
First answer choice is right.
Answer:
4(2x^5+x^2−3)
Step-by-step explanation:
In other words the other guy above was correct. Picture below is the answer, also I do know that it's what you meant by this question.
n + 7 < - 3
solve the inequality
Something plus 7 is smaller than -3
So, let's go for a number that's lower than -3.
Let's try, -17
-17 + 7 = -10
-10 < -3
-10 is smaller than -3
At the market,7 apples cost $4.55. What is the cost per apple?
Answer:
Step-by-step explanation:
The have to divide $4.55 by 7
$4.55/7
$0.65/1
The price for one Apple is $0.65.
7 divided 4.65 = 0.65 answer is each apple cost 0.65 cents
I need help pls help me
Answer:
The first question answer is Fred. The second one is 1/7. Sorry that is all i know.
Step-by-step explanation:
{20, 30, 40, 50, 60, 70, 80} The mean of this set of numbers is A) 20 B) 50 C) 55 D) 60
Answer:
50
Step-by-step explanation:
Adding up 20, 30, 40, 50, 60, 70, 80, we get 350. There are 7 numbers in this set, so divide this 350 by 7. We obtain the mean, 350/7 = 50 (Answer B)
Answer:
Your answer would be: B) 50
To find the mean, you add all the numbers in the data set and divide them by how many numbers there are, which in this case it is 7.
Which statements are true regarding the area of circle D? Check alll that apply
Answer:
The area of the circle depends of the square of the radius
The area of the circle D is [tex]324 \pi\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
In this problem we have
[tex]r=CD=18\ cm[/tex]
substitute
[tex]A=\pi (18)^{2}=324 \pi\ cm^{2}[/tex]
therefore
the statements that are true are
The area of the circle depends of the square of the radius
The area of the circle D is [tex]324 \pi\ cm^{2}[/tex]
Help with Algebra! Completing the square!
Answer:
Part a:[tex]f(x)=-2(x+1)^2+8[/tex]
Part b: Maximum value
Step-by-step explanation:
Part a.
The given function is [tex]f(x)=-2x^2-4x+6[/tex].
We need to complete the square to obtain the vertex form
[tex]f(x)=-2(x^2+2x)+6[/tex]
Add and subtract the square of half the coefficient of x.
[tex]f(x)=-2(x^2+2x+(1)^2)--2(1)^2+6[/tex]
[tex]f(x)=-2(x^2+2x+1)+2+6[/tex]
The quadratic trinomial within the parenthesis is now a perfect square
[tex]f(x)=-2(x+1)^2+8[/tex]
The vertex form is [tex]f(x)=-2(x+1)^2+8[/tex]
Part b
Comparing [tex]f(x)=-2(x+1)^2+8[/tex] to [tex]f(x)=a(x-h)^2+k[/tex], we have a=-2.
Since a is negative the vertex is a maximum point.
Hence the function has a maximum value
I don’t know how to do this problem and need help getting answer?
Hi!!! So to do this problem, you need to find the mean values for each sample. I will walk you through finding the mean of sample 1: first you want to add all of the values for sample 1, which are 4,5,2,4 and 3. Once you add those values you get 18. Then you must divide that 18 by the number of terms you added. The numbers you added were 4,5,2,4 and 3 like I said earlier which is 5 numbers. You divide 18 by 5 to get your mean, which is 3.6
Answer: (B) Sample 2
sample 1 mean = 3.6
sample 2 mean = 4.2
sample 3 mean = 3.8
sample 4 mean = 4
Plz help !! Needed to graduate if picture doesn’t show it is probably loading
A survey found that 78% of high school freshmen have internet acess at home. Of the 754 freshmen at one high school , about how many would be expected to have internet acess at home? SHOW WORK AND EXPLAIN! The person who does show work will be marked as brainliest.
Multiply the total number of freshman by the percentage:
754 x 0.78 = 588.12
Since you cant have 0.12 of a person, round up to 589 people.
Approximately 589 of the freshmen at the high school would be expected to have internet access at home.
We are given that 78% of high school freshmen have internet access at home. This percentage can be expressed as a fraction or a decimal for calculation purposes. In this case, we will use the decimal form, which is 0.78.
The total number of freshmen at the high school is given as 754.
To find the number of freshmen with internet access, we multiply the total number of freshmen by the percentage (in decimal form) that represents those with internet access.
The calculation is as follows:
Number of freshmen with internet access = Total number of freshmen × Percentage with internet access
Number of freshmen with internet access = 754 × 0.78
Performing the multiplication:
Number of freshmen with internet access = 588.92
In conclusion, about 589 of the 754 freshmen at the high school would be expected to have internet access at home.
Describe the correlation.
A. no correlation
B. prime correlation
C. positive correlation
D. negative correlation
Answer:
the answer is D because their are 2 points that collide
Step-by-step explanation:
that's why I chose the answer d
Correlation in statistics is the relationship between two variables that can be positive, negative, or non-existent. Positive correlation means both variables move in the same direction, while negative correlation means they move in opposite directions. 'Prime correlation' is not a recognized term in statistics.
Explanation:In statistics, the term correlation refers to the statistical relationship between two variables. A correlation can be positive, negative, or there might be no correlation.
No correlation implies that there is no noticeable relationship between two variables. If one variable changes, we can't predict any specific change in the other.There is no such term as prime correlation in statistics. It might be a typo or unrelated to the concept of correlation.A positive correlation signifies that as one variable increases, the other does too. Similarly, if one variable decreases, the other follows. An example could be the more hours one studies, the better their exam performance.A negative correlation means that as one variable increases, the other decreases. For instance, the more time one spends watching TV, the lower their productivity might be.Learn more about Correlation here:https://brainly.com/question/36761554
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Emma is 9 1/4 years old.how many months old is Emma
Answer:
111 months old.
Step-by-step explanation:
you first divide 12 by four giving us 3.
then times 9 by 12. that gives us 108.
then add 108 + 3 to give us the final results.
Hope that helps!
(if you could rate/thank me that would be amazing!)
111 months old.
A year is 12 months.
9x12=108
Then add 3 to 108.
= 111
Which of the following is the solution to the inequality below? 2x−4≤12
To solve the inequality 2x - 4 ≤ 12, add 4 to both sides to get 2x ≤ 16, then divide both sides by 2, resulting in x ≤ 8. This means x can be any number less than or equal to 8.
Explanation:To solve the inequality 2x − 4 ≤ 12, we first isolate the variable x by following algebraic steps. Here's a step-by-step approach:
Add 4 to both sides of the inequality to get 2x ≤ 16.Divide both sides by 2 to solve for x, resulting in x ≤ 8.The solution to the inequality tells us that x can be any number less than or equal to 8. This is true for any real number x that satisfies the condition outlined by the inequality.
Remember, when solving inequalities, it's crucial to maintain the balance of the equation by performing the same operations on both sides. Also, note that multiplying or dividing both sides of an inequality by a negative number requires flipping the direction of the inequality sign, which was not necessary in this case since we divided by a positive number (2).
Please help. I don’t know which one is right.
In circle Z, what is m∠2? 70° 133° 140° 147°
Answer:
C
140
Step-by-step explanation:
Answer:
C. 140
Step-by-step explanation:
133 + 147 = 280
280 / 2 = 140
Edge 2022. Trust
2....evaluateeeeeeeeeeee
Answer:
Choice B is correct
Step-by-step explanation:
We apply the rule of exponents;
[tex]a^{-b}=\frac{1}{a^{b}}[/tex]
[tex]7^{-2}=\frac{1}{7^{2}}=\frac{1}{49}[/tex]
1/8 of the boys at a high school tried out for the football team, 1/6 tried out for the baseball team, and 1 /12 tried out for the football team and baseball team. What fraction of those who tried out for football also tried out for baseball?
A)1/12
B) 1/2
C) 1/3
D) 2/3
Answer:
D) 2/3
Step-by-step explanation:
Let x represent the number of boys at the high school.
1/8x total tried out for football.
1/6 total tried out for baseball.
If we were to draw a Venn diagram, the intersection of the two circles would be the 1/12 of the students that tried out for both, or 1/12x.
Taking this away from the total of 1/8x for football,
1/8x - 1/12x
3/24x - 2/24x
1/24x tried out for just football.
Taking the 1/12x away from the 1/6x that tried out for just baseball,
1/6x - 1/12x
4/24x - 2/24x
2/24x = 1/12x tried out for just baseball.
Looking at those that tried out for football, 2/24 tried out for both and 3/24 total tried out for football. This means 2 out of 3, or 2/3, of the football try outs also tried out for baseball.
2 / 3 are the required fraction of the boys who tried out for football and also tried out for baseball. OPtion D) is correct.
Given that,
1/8 of the boys at a high school tried out for the football team,
1/6 tried out for the baseball team, and 1 /12 tried out for the football team and baseball team.
What fraction of those who tried out for football also tried out for baseball is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The fraction of boys that tried out for football also tried out for baseball.
= (1 / 6 - 1 / 12) / 1 / 8
= 2 / 24 * 8 / 1
= 2 / 3
Thus, 2 / 3 are the required fraction of the boys who tried out for football and also tried out for baseball. Option D) is correct.
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The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, Determine and state the length of the shortest side of this triangle.
Step-by-step explanation:
Okay! Since these are similar figures we need to find the scale factor in order to answer this question.
We have a triangle with sides 7, 4, and 9. The longest side is 9. This corresponds with the longest side on the similar triangle, which is 36. So to find the scale factor we divide 36 by 9. The scale factor is 4.
Now to find the shortest side of the bigger triangle, we have to find the length of the shortest side on the smaller one which is 4. Since our scale factor is 4, we multiply 4 by 4 to get 16.
The length of the shortest side of the similar triangle is 16
The shortest ide is 16
How do I determine the slope of the line using a graph
It's hard to explain, but theres a trick to it too.
Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of pens ordered to boxes of pencils ordered?
A.
1:20
B.
5:8
C.
20:1
D.
8:5
Answer:
8:5
Step-by-step explanation:
32:20
8:5
Please explain hot to find length KC on the attached diagram. Thanks!
Answer:
KC=54
Step-by-step explanation:
You have the number for MU=78, HU=96
so that you can find HM=HU-MU=96-78=18
and then JH=22, JK=82 and we got HM=18
so that you can find MK=JK-JH-HM=82-22-18=42
And then MU=78,
so KU=MU-MK=78-42=36
And then CN=51, KN=105 and we just got KU=36,
so UC=KN-CN-KU=105-51-36=18
And you want to find out what's the length of KC,
KC=KU+UC=36+18=54
So your final answer is KC=54.
Answer:
The correct answer is KC = 54
Step-by-step explanation:
From the given figure we can see that,
total length JN = 82 + 105 = 187
To find the length KC
From figure we can write,
KC = Total length - (JK + CN) = JN - (JK + CN)
JN = 187
JK =82 and CN = 51
Therefore KC = 187 - (82 + 51) = 187 - 133 = 54
The correct answer is KC = 54
5.97x10^24-4870000000000000000000000 in scientific notation
5.97 * 10^24 - 4.87 * 10^24 = 1.1 * 10^24
Calculați: a) -5+(-2)•(4-8)
B) -10 + (-21)•(-7)
d) 6-(-3)•(1-9)
e) 8-(-28)•(3-10)
a) -5+(-2) (4-8) =
(-7)(-4) = 28
b) -10 + (-21) (-7) =
(-10) + 147 = 137
c) 6- (-3) (1-9)
9 (1-9) = -72
d) 8 - (-28) (3 - 10)
36 (-7) = -252
The answers will be a. 3, b. 137, c. -18, d. -188.
The student is asked to calculate the results of several basic arithmetic operations involving integers, following the order of operations (PEMDAS/BODMAS). Here's how each of the operations should be computed:
1. -5 + (-2) × (4 - 8)
-5 + (-2) × -4.
-5 + 8 = 3.
2. -10 + (-21) × (-7)
-10 + 147 = 137.
3. 6 - (-3) × (1 - 9)
6 - (-3) × -8
6 - 24 = -18.
4. 8 - (-28) × (3 - 10)
8 - (-28) × -7
8 + 196 = -188
find the perimeter of this figure
Answer:
128.52
Step-by-step explanation:
Find the area of the figure by splitting it into two shapes - a trapezoid and a semi-circle.
The area of a semi-circle is found using A = 1/2πr² where r = 6 since the diameter is 12. A = 1/2π(6)² = 56.52.
The area of the trapezoid is found using A = 1/2(a+b)h = 1/2(12 + 6)(8) = 72.
Together the area is 56.52 + 72 = 128.52.
y = |x| translated half a unit to the right.
Answer:
y=|x-0.5|
Step-by-step explanation:
right/left is always within the absolute value itself.
to the right is always negative.
Answer:
|x|-0.5
Step-by-step explanation:
match each description of an algebraic expression with the symbolic form of that expression
A. 2 terms; variables = x and y
B. 3 terms; variables = x and y; constant = 3
C. 2 terms; variable = x; constant = 4.5
D. 3 terms; variables = x and y; constant = 2
1. x - 2y + 3
2. 4.5 - 2x
3. 4.5x + 2 - 3y
4. 4.5y - 2x
Answer:
A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x
B. 2 terms; variables = x and y -----------> 4.5y - 2x
C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y
D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3
Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)
Final answer:
The descriptions provided for A and D do not perfectly match any of the available expressions, indicating a potential error in the provided materials. However, for descriptions B and C, expressions 1 and 2 are the respective matches.
Explanation:
To match each description of an algebraic expression with the symbolic form, we must look for the characteristics that fulfill the given conditions. These include the number of terms, the variables involved, and any constants.
A. 2 terms; variables = x and y: This description does not list a constant, so we are looking for an expression that has only x and y terms. None of the provided options fits perfectly as they all include a constant.
B. 3 terms; variables = x and y; constant = 3: The expression that fits this description is 1. x - 2y + 3.
C. 2 terms; variable = x; constant = 4.5: This description matches the expression 2. 4.5 - 2x.
D. 3 terms; variables = x and y; constant = 2: Once again, we're looking for an expression with three terms including the variables x and y and a constant of 2. However, none of the provided expressions fits this description since they all include a different constant.
Since the options provided do not fully satisfy the descriptions A and D, this can lead to an assumption that there may have been a mistake either in the given descriptions or in the provided expressions. We can answer to the extent that the options allow.
Correct matches from the provided options:
B is matched with 1
C is matched with 2
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Find the area of an equilateral triangle with a side of 6 inches
Answer:
Step-by-step explanation:
the answer would be 7.5
Answer:
15.59 inches²
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}[/tex] (base) × (height)
Base of the triangle = 6 inches = BC
so BD = CD = 3 inches
Now height h = AD = [tex]\sqrt{6^{2}- 3^{2} }[/tex] [ By Pythagoras theorem ]
h = [tex]\sqrt{36-9}[/tex]
= [tex]\sqrt{27}[/tex]
= [tex]\sqrt[3]{3}[/tex]
Now area of equilateral triangle ABC
= [tex]\frac{1}{2}[/tex] (6) ( [tex]\sqrt[3]{3}[/tex])
= 3 × ([tex]\sqrt[3]{3}[/tex])
= [tex]\sqrt[9]{3}[/tex] inches²
≈ 15.59 inches²
What conditional statement is represented by the Venn diagram below
Answer:
D
Step-by-step explanation:
It's one of each or not both tho:)
Answer:
Option C. is the correct answer.
Step-by-step explanation:
Since in the given Venn diagram "Blue circle" is contained in a "purple circle".
Blue circle represents Equilateral triangles and purple color circle represents isosceles triangle.
Since by this Venn diagram, equilateral triangles are contained in isosceles triangle then we can conclude that all equilateral triangles are isosceles triangle.
Therefore, option C. if shape is an equilateral triangle, then it is an isosceles triangle is true.
a system of equations is shown below 5x +2y =-15 2x - 2y =-6 what is the solution to the problem
Answer:
(-3, 0)
Step-by-step explanation:
Let's solve this system using the elimination by addition/subtraction method. Begin by writing the two equations one above the other:
5x +2y =-15
2x - 2y =-6
Notice that the y terms cancel each other out:
5x +2y =-15
2x - 2y =-6
------------------
7x = -21
Dividing both sides by 7 results in x = -3.
Subbing -3 for x in either of the given equations leads to finding y:
5(-3) + 2y = -15, or -15 + 2y = -15. This results in 2y = 0, or y = 0.
The solution is (-3, 0).
Using the elimination method, the solution to the system of equations is: (-7, -4)
What is the Solution to a System of Equations?Using the elimination method, the solution to the system of equations is found by adding or subtracting the equations to eliminate one variable, then substitute to find the other.
Given the system of equations:
5x + 2y = -15 --> Eqn. 1
2x - 2y = -6 --> Eqn. 2
Add
3x = -21
x = -21/3
x = -7
Substitute x = -7 into Eqn. 2.
2(-7) - 2y = -6
-14 - 2y = -6
-2y = -6 + 14
-2y = 8
y = -4
The solution is (-7, -4)
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10 points!!! Please show work!!
Answer:
Smallest x -14
Larger x 0
Step-by-step explanation:
(x+7)^2 -49=0
Add 49 to each side
(x+7)^2 -49+49=0+49
(x+7)^2 = 49
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(49)
x+7 = ±7
Subtract 7 from each side
x+7-7 = -7±7
x = -7±7
x = -7 -7 x = -7+7
x = -14 x =0
Smallest x -14
Larger x 0
Answer:
Smaller [tex]x=-14[/tex]
Larger [tex]x=0[/tex]
Step-by-step explanation:
[tex](x+7)^2-49=0[/tex]
[tex](x+7)^2=49[/tex] (add 49 to both sides)
[tex]\sqrt{(x+7)^2} =\sqrt{49}[/tex]
Knowing that [tex]7*7=49[/tex] and [tex]-7*-7=49[/tex]
[tex]x+7=7[/tex] or [tex]x+7=-7[/tex]
Solving for [tex]x+7=7[/tex] first...
[tex]x=0[/tex] (subtract 7 from both sides)
Solving for [tex]x+7=-7[/tex]
[tex]x=-14[/tex] (subtract 7 from both sides)