We know that 6 concrete broks weigh 90 kilograms so we can fin hoy much weigh each brok like this:
\(\frac{90}{6}=15\)Now we can complete the table with this factor so:
\(\begin{gathered} 1\to15 \\ 2\to30 \\ 3\to45 \\ 4\to60 \\ 5\to75 \\ 6\to90 \\ 7\to105 \end{gathered}\)the constant of proportionality will be:
\(k=\frac{y}{x}=\frac{105}{7}=15\)And the number next to the one will be 15 and that means that 1 brick weigh 15 kilograms
Reread the three paragraphs that begin at the top of page 2 and end on page 3. How does the flashback in these paragraphs advance the plot
The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.
What is Flashback Narrative?The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.
The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.
Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather
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Always, Sometimes, or Never?
5x>0
Answer:
Sometimes
Step-by-step explanation:
5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312. Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1. Assume that the two tests use different scales to measure the same aptitude. If someone gets an SAT score that is in the 95th percentile, find the actual SAT score and the equivalent ACT score.
Answer:
The actual SAT score is 2024.
The equivalent ACT score is 29.49.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
SAT score that is in the 95th percentile
Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \(\mu = 1511, \sigma = 312\)
95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:
\(Z = \frac{X - \mu}{\sigma}\)
\(1.645 = \frac{X - 1511}{312}\)
\(X - 1511 = 1.645*312\)
\(X = 2024\)
The actual SAT score is 2024.
Equivalent ACT score:
The equivalent ACT score is the 95th percentile of ACT scores.
Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \(\mu = 21.1, \sigma = 5.1\). So
\(Z = \frac{X - \mu}{\sigma}\)
\(1.645 = \frac{X - 21.1}{5.1}\)
\(X - 21.1 = 1.645*5.1\)
\(X = 29.49\)
The equivalent ACT score is 29.49.
Trapezoid ABCD is transformed according to the rule
Ex-axis
* Ro, 9p°. What is the x-coordinate of A"?
The x coordinate of A after transformation is (3,-2).
Apply the transformation rule x-axis Ro, 9p° to each vertex of the trapezoid.
This involves first reflecting the point across the x-axis and then rotating it counterclockwise by 90 degrees (9p°).
A rotation of 90 degrees clockwise about the origin will turn the coordinates (x,y) to (-y,x)
The coordinates of A is
Then, the x coordinate of A after transformation is (3,-2).
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how would I find the equation of this graph
Answer:
y = sec(x-2) - 1
Step-by-step explanation:
We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.
*A tree that is 3 feet tall is growing at a rate of 2 1/2 feet each year. A tree that is 6 feet tall is growing at a rate of 2 feet each year.
* Enter the number of years it will take the two trees to reach the same height.
Using Linear equations, In 6 years of time, both two trees reach the same height.
Linear equation:The concept used in this problem is the application of linear equations to find the number of years it will take for the two trees to reach the same height. To solve this problem using linear equations, we can assume the number of years as 'x' and form two linear expressions and solve them from 'x' i.e the number of years.
Here we have
A tree that is 3 feet tall and is growing at a rate of 2 1/2 feet each year.
Here 2 1/2 = 5/2 feet = 2.5 feet
A tree that is 6 feet tall is growing at a rate of 2 feet each year.
Let both trees reach the same height after 'x' years
The height of first tree= [ 3 + 2.5(x) ]
The height of the second tree = [ 6 + 2(x) ]
As we assumed both sides are equal
=> [ 3 + 2.5x ] = [ 6 + 2x ]
Subtract 3 from both sides
=> 3 - 3 + 2.5x = [ 6 - 3 + 2x ]
=> 2.5x = 2x + 3
Subtract 2x from both sides
=> 2.5x - 2x = 3
=> 0.5x = 3
Divide by 0.5 into both sides
=> 0.5x/0.5 = 3/0.5
=> x = 6
Therefore,
In 6 years of time, both two trees reach the same height.
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The box-and-whisker plot shows the number of books read by history students
during the last school year.
+
2.
3
4.
5
6
7
8
g
9
10
11
12
13
14
15
16
What is the range of the data?
Answer:
43
Step-by-step explanation:
The range of the data is 14.
What is a boxplot?A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).
Given that,
The box-and-whisker plot shows the number of books read by history students during the last school year.
The box extends from 4 to 15 on the number line.
There is a vertical line at 8, median = 8.
The whiskers end at 4 and 15,
So, minimum of data = 4 and maximum of data = 15.
∵ Range = maximum of data - minimum of data
Range = 15 - 4
Range = 11
Hence, the range of the data is 14.
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m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
A group of friends wants to go to the amusement park. They have no more than $390 to spend on parking and admission. Parking is $16.75, and tickets cost $34 per person, including tax. What is the maximum number of people who can go to the amusement park?
Answer:
10 people
Step-by-step explanation:
First, I subtracted $16.75 from $390. I got an answer of $373.25. Next, I divided $373.25 by 34 people. The answer then rounded out to 10 People. So in conclusion 10 people can go to the amusment park.
46
26
х
х
X
х
A school received 46 iPads. The school library took 26 of the iPads and the rest were split equally among 4 teachers to use in their
classrooms. Using the strip diagram and the letter x to represent the unknown quantity, which equation could be used to find the
number of iPads each teacher received?
A)
4x = 46 - 26
B)
4x +46 +26
4x - 26 - 46
D)
4x = 26 + 46
Answer:
Step-by-step explanation:
so what you need to do is subtracked 26 with 46 then you get the ansewer 20 but after that you have to do 20 divided by 4 and you will get your answer.
Which line is an irregular line of blank verse?
“He only says, ‘Good fences make good neighbours.’”
“If I could put a notion in his head:”
“And on a day we meet to walk the line”
“And set the wall between us once again.”
THE ANSWER IS THE FIRST ONE
Identify the irregularity in the line.
THE ANSWER IS THE SECOND ONE
The line that is an irregular line of a blank verse is A . “ He only says , ‘Good fences make good neighbours. ”
The irregularity of the line is that it has 11 syllables while other lines have 10 syllables .
What is a blank verse ?Unrhymed but metric poetry with usually always iambic pentameter is referred to as "blank verse" in literature.
Going by the definition, the three bottom lines are regular lines in a blank verse as they have 10 syllables. However, the first line, has 11 syllables, thereby making it irregular.
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y=6/7x+11/7 in standard form
Answer:
6x-
7y
=
-11
6x-7y=-11
U(x)=x^2+9 and w(x)=sqrt x+8. Find (wu)(8) and (uw)(8)
Answer:
¿cual es la influencia que tiene la revolución cubana en el surgimiento de grupos armados en Colombia?
Step-by-step explanation:
f=((-1,1),(1,-2),(3,-4)) g=((5,0),(-3,4),(1,1),(-4,1)) find (f/g)(1)
9514 1404 393
Answer:
-2
Step-by-step explanation:
(f/g)(1) = f(1)/g(1) = -2/1 = -2
__
The value of f(1) is the second number in the ordered pair (1, -2) that is part of the definition of function f. Similarly, for g, we look for the ordered pair that has 1 as its first value. The second value is g(1).
THE PRICE OF A MATH BOOK WENT FROM $14.25 TO $22.80. WHAT WAS THE PERCENT INCREASE IN THE PRICE OF THE MATH BOOK? MY ANSWER:37.05? CAN YOU CONFIRM
Percent increase = (new price - original price)/original price x 100
From the information given,
original price = $14.25
new price = $22.8
Thus,
Percent increase = (22.8 - 14.25)/14.25 x 100
Percent increase = 60%
What ordered pair represents the number of jump ropes made per hour
where is the rest of the question?
is that it?
can you give us more info on this question? like anything?
thanks
Please solve the problems below and follow instructions given.
What is a Right Angle Triangle?
A Right Angle Triangle is a triangle where one of the angles is equal to 90 degrees.
To calculate the values using SOHCAHTOA
SOHCAHTOA calculate the angles and sides of the right triangle, using trigonometric function sine, cosine, and tangent. There are two triangles in which the adjacent and opposite changes based on which angle is in question, the hypotenuse always stays the same.
Where Sin A = Opposite/ Hypotenuse
Cos A = Adjacent / Hypotenuse
And Tan A = Opposite / Adjacent
For question 1,
If Opposite = PR
Adjacent = PQ
Hypotenuse = QR
Sin A = 14/50
Cos A = 48/50
Tan A = 14/48
For question 2,
If Opposite = PQ
Adjacent = PR
Hypotenuse = QR
Sin A = 48/50
Cos A = 14/50
Tan A = 48/14
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3. Which ratio is not equivalent to 5 : 8?
A. 10 out of 18
B. 15 to 24
20
C.
32
D. 10:16
Answer:
the answer is A
Step-by-step explanation:
I just did it :)
Answer:
The ratio that is not equivalent to 5:8 is:
Letter A. 10 out of 18
Step-by-step explanation:
10 out of 18 is not equivalent to 5:8 because, 18 is not a multiple of 8.
Hope this helped you out! ^^
#CarryOnLearning
What is 1.482 rounded to the nearest hundredth
Answer:
1.48
Step-by-step explanation:
The 8 is in the hundredths place.
The number first loses all digits to the right of the 8.
1.48
Now we check the digit to the right of the 8 that we just dropped.
If that digit is from 1 to 4, the 8 remains as 8.
If that digit is from 5 to 9, then the 8 goes up 1 to 9.
In this case, the digit that was dropped is a 2, so the 8 remains as 8.
Answer: 1.48
First, let's see each number's place values.
1=whole
4=tenth
8=hundredth
2=thousandth
The thousandth place is under 5, so the 2 rounds down to zero.
Hope this helps! If so, can I get a brainliest?
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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You are dealt one card from a 52-card deck. Find the probability that you are dealt: a numbered card or a heart
Derek has 4.8 pounds of potting soil. He puts equal amounts of soil in 8 pots. Derek draws this model to show how much soil is in each pot.
0.6
Step-by-step explanation:
since 4.8 goes into 8 pots equally the equation would be 4.8/8 = 0.6
Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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the sum of two numbers is 25 and their products is 136. find the number
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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`
HURRY IM TAKING A FINAL AND I ONLY HAVE 10 MINS LEFT. PLEASE HELP!!!!!
Answer:
The answer is love
Step-by-step explanation:
Help and i will give brainiest if you answer them all if random will report.
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Step-by-step explanation:
Hope it help
Mark me as brainliest
Answer:
hello good day
Step-by-step explanation:
thank you for the free points
Geometry: The base of a triangle is 12 in. Its height is (x + 6) in. Its area is no more
than 72 in.2. What are the possible integer values of x?
Please help meee I’m so bad at triangles!
Answer:
The area of a triangle= bh/2. Substitute
12(x+6)/2 ≤ 72
12(1/2x+3) ≤ 72
6x+36 ≤ 72
6x ≤ 72-36
6x ≤ 36 Divide both sides by 6
x ≤ 6
x|x ≤6 (read: x, where x is equal or smaller than 6)
Step-by-step explanation:
Find surface area of this rectangle prism
Answer:
Heres this!!
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
An elevator travels 310 feet in 10 seconds.
1. At that speed, how far can this elevator travel in 12 seconds?
Answer:
372
Step-by-step explanation:
1 sec=31 feet
10 sec=310 feet
12 sec=372 feet
Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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