When Compared to the cost of building my own structure the analysis is given below. See table attached.
What is the cost about?Based on the highest-cost options that is given in the table, the total cost for the initial step of construction is:
$50,000 (surface material) + $20,000 (note its for cable/rod/strut material) + $10,000 (i.e. connector material)
= $80,000
Therefore, based on the fact also that the budget for the initial step of construction need to be $450,000 or less, the highest-cost options for materials have to exceed the budget.
Therefore, in the last table, Based on the recommended material options, the total cost for the initial phase of construction need to be:
$45,000 (surface material) + $20,000 (cable/rod/strut material) + $8,000 (connector material)
= $73,000
Hence the total cost is one that falls within the amount of budget of $450,000 for the initial step of construction.
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See text below
Project Costs
The budget for the initial phase of construction must be $450,000 or less. The overall cost will be determined by the materials used. Compare the cost of building your structure using different options for materials. Start by using only the highest-cost options. Will you be able to use these materials and stay within the budget? Next, identify a different mix of materials to put in your recommendation.
Complete each table following these guidelines:
• Select a surface material to cover the structure.
• Use cables, structural rods, or struts that are all made of the same material.
• For structures that use connectors, you need three different types of the same material. The total price of the connectors is the sum of three different types.
• Round the values in the Cost column to the nearest dollar.
32. High Cost Options. Identify the highest-cost material for each component and calculate the associated cost.
13 points: 1 point for each table cell
Inequalities - Introduction
Answer:
Step-by-step explanation:
This number line says that we can take all values of x that are less than or equal to 2. That is, the solution is
\(x\leq 2\)
NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)
The triangle above has the following measures.
m
a=7.5 y
Use the 45-45-90 Triangle Theorem to find the length of the hypotenuse. Include correct units.
Show all your work.
The length of the hypotenuse is 10.61 yd.
We have,
The sum of the angles in a triangle = 180
Now,
Two angles are 45.
This means,
The side opposite to angle 45 are equal.
So,
a = c
And,
a = 7.5 yd
Now,
Applying the Pythagorean theorem.
b² = a² + c²
b² = 7.5² + 7.5²
b² = 112.5
b = √112.5
b = 10.61
Thus,
The length of the hypotenuse is 10.61 yd.
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plzz help asap ill give brainliest
Answer:
\(c=\frac{ab}{a+b}\)
Step-by-step explanation:
To solve for \(c\), our goal is to isolate it.
Start by multiply both sides by \(ab\). That way, we'll still have only one term with \(c\), but we'll be able to get rid of two messy fractions.
\(b+a=\frac{ab}{c}\)
Taking the reciprocal of both sides:
\(\frac{1}{a+b}=\frac{c}{ab},\\c=\boxed{\frac{ab}{a+b}}\)
*Note: You cannot take the reciprocal of both sides if you're adding fractions. This is why we can't just take the reciprocal of both sides in the initial equation.
Alternate solution:
\(\frac{1}{a}+\frac{1}{b}=\frac{b}{ab}+\frac{a}{ab}=\frac{1}{c},\\\\\frac{b+a}{ab}=\frac{1}{c},\\\\c=\frac{ab}{b+a}=\boxed{\frac{ab}{a+b}}\)
Answer:
c=ab
a+b
Step-by-step explanation:
1 + 1= 1
a. b. c
a+b = c
ab
a+b= ab
c
ac+bc=ab
c(a+b)=ab
c(a+b)=ab
a+b. a+b
c=ab
a+b
Find the next three terms in the sequence 4, 16, 36, 64, 100, ...
Answer:
144 196 256
. .............
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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In Jameson's drawing, the nose cone has an area of square inches, each of the fins has an area of square inches, and the total area of the drawn rocket is square inches.
In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
The drawing (see attachment)
The area of the nose cone is
Area = 1/2 * 5 * 2
Area = 5 square inches
For the fin, we have
Fin = 1/2 * 3 * 2
Fin = 3 square inches
Lastly, we have
Total area = (4 + 2 + 1) * 2 + 5 + 3
Total area = 22 square inches
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whoever helps me first will be a braliest
to find the slope:
\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{4 - 1}{1 - 2} \\ m = - 3\)
Select the statement that describes this expression: 32 ÷ 4 + ( fraction 1 over 2 x 16) − 2
Answer:
Step-by-step explanation:
32 ÷ 4 + (\(\frac{1}{2}*16) - 2\) = 8 + (1*8) - 2
= 8 + 8 - 2
= 16 - 2
= 14
Answer:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Step-by-step explanation:
What is the slope please help
Find the measure of c.
Answer:
100°
Step-by-step explanation:
basically, in this situation, whatever number or angle you're given, and the number diagonally across from it are supposed to add up to 180°.
(i think its called a cyclic quadrilateral, so do with that what you will.)
Solve the equation below for p:
14p-3=25
Answer:
p=2
Step-by-step explanation:
3.) Find the volume of a triangular prism with a length
of 5 units, a width of 6 units, and a height of 4 units.
Answer:
Volume V = 18.735 m3
Step-by-step explanation:
hope this helps
5
Which fraction is equivalent to 20
?
N
Answer:
4/20
Step-by-step explanation:
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
The starting temperature was 24°.
The temperature increased by 8°.
Then the temperature dropped by 7° per hour for the next six hours.
What is the temperature after the six hour drop in temperature?
Answer:
-10°
Step-by-step explanation:
take 24°+8°= 32
beacuse there was a decrease of 7° per hour for 6 hours you must subtract 7° six times from 32°
Age of Senators The average age of senators in the 108th Congress was 56.5 years. If the standard deviation was 12.5 years, find the Z-scores corresponding to the oldest and youngest senators of age 85 and 39. Round z scores to two decimal places. Part: 0/2 Part 1 of 2 The Z-score corresponding to the oldest senator of age 85 is oll
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:
Z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
Part 1 of 2: For the oldest senator of age 85:
Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28
Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.
Part 2 of 2: For the youngest senator of age 39:
Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
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The measure of dispersion that measures how much the data differ from the mean is called the.
The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.
What is standard deviation?Standard deviation is a statistical measure of dispersion as opposed to the measure of central tendency like mean, median and mode.
The standard deviation is a measure of how spread out data values are around the mean.
It is defined as the square root of the variance and represented with the Greek letter σ.
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Please help. I need the answer
Answer:
B
Step-by-step explanation:
\(m-5\neq 5-m\)
The others follow the rules of the commutative property of multiplication/addition.
Answer:
B
m - 5
Step-by-step explanation:
1) division
2) m - 5 . Since subtraction is not commutative
expand and simplify (x+3)(x+5)
Step-by-step explanation:
(x+3)(x+5)
x.x + x.5 + 3.x +3.5
=x²+5x+3x+15
=x²+8x+15
A game of Blackjack or “21” is played with a regular deck of cards. The aim of the game is to have cards that add up to 21. The cards are not replaced to the deck once they have been drawn. If you draw two cards in a row, what is the probability of getting 21, when first card you get is an ace and the second card is a queen?
The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.
The term blackjack means that you get a value of 21 with only two cards.
Number of cards in a deck of cards = 52
There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.
Given that first card is Ace and second one is a Queen.
Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.
P(blackjack)=4×16/(52/2).
where P is used for probability .
Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.
Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.
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Lauren has already knit 24 centimeters of scarf, and can knit 1 centimeter each night. How
many nights will Lauren have to spend knitting in order to knit a total of 44 centimeters of
scarf?
Answer:
20
Step-by-step explanation:
44-24=20
Hello I need help with my math question three please thank you
The lengths of the unknown sides and angles are: 12.3, 229.6, 24.6, 53, 139, and 28 respectively
How to find lengths of triangles?We are to use the trigonometric in finding the unknown sides
1a) From the trig ratio of cosine
Cos A = opposite/Adjacent
Cos35 = a/15
a=15*cos35
a = 15*0.8192
a=12.3
1b) Cos A = opposite/Adjacent
Cos25 = a/250
a=250*cos25
a = 250*0.9063
a = 226.6
2) Using the sine ratio
sinA = opposite/hypothenuse
sin A = 5/12
Sin A= 0.4167
Taking the sine inverse we have
A=24.6 degrees
2b) Using the ration of cosine
CosX = 12/15
Cos x = 0.8000
x= Cos⁻¹0.8000
x=53 degrees
3) Using Pythagoras theorem to find length AB = c
c²=a²+b²
c²=123²+65²
c²= 15129+4225
= 19354
c=√19354
c= 139
To find the angle,
SinA = 69/139
Sin A = 0.4676
Taking the sine inverse
A= 28⁰
The second angle B is 90-28 = 62⁰
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help me please ASAP!!!!
ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!
The diameter of a circle is 8cm. Find its circumference to the nearest tenth.
Answer:
\(C = 25.1 \text{ cm}\)
Step-by-step explanation:
We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:
\(C = \pi d\)
Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).
↓ plugging in the given radius
\(C = 8\pi \text{ cm}\)
↓ rounding to the nearest tenth
\(\boxed{C = 25.1 \text{ cm}}\)
Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent
The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
We need to convert 2.50 hours to a standard score (z-score) using the formula,
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
z = (2.50 - 3.00) / 0.75
z = -0.67
This means that 2.50 hours is 0.67 standard deviations below the mean.
We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:
P(z < -0.67) = 0.2514
So the correct answer is (a) 25.14 percent.
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exponential function passes through (1,10) and (4,80)
Answer: f(x)=2^x+5
Step-by-step explanation:
math
Solve the following for x :
y+x=z
a. x = yz
b. x = z - y
c. x = y - z
d. x = z/y
Explain.
Answer:
B. x = z - yStep-by-step explanation:
Move y to the opposite side of the equals sign while remembering to make it negative:
y + x = z
|_______|
x = z - y
Hope this helped. A brainliest would be very much appreciated. (I need 1 brainliest so I can level up) :)
I need 23 questions answered
The surface area of a rectangular prism is 48 5/6 mi².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]
Surface area of rectangular prism = 2[14 + 15/2 + 35/12]
Surface area of rectangular prism = 48 5/6 mi².
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what is the answer of x for this?
Angle x and angle BOC are supplementary. We know that Supplementary angles add up to 180 degrees
180 = x + 156
Subtract 156 from both sides.
24 = x
Please help me I have 3 minutes
Answer:
43
Step-by-step explanation:
hope that helps!
Answer:
I think it's A .....................