Answer:I think it’s b
Step-by-step explanation:
Write an example from daily life that uses each type of real number.
rational numbers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
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The cost in dollars y of producing x computer desks is given by Y=90x+1000Complete the table Find the number of computer desk that can be produced for $7570 ( find x when y =7570)
We are given the following function
\(y=90x+1000\)Where y is the cost of producing a computer desk and x is the number of computer desks.
Let us find the cost of producing computers for the given x number of computers.
For x = 100
\(\begin{gathered} y=90(100)+1000 \\ y=9000+1000 \\ y=\$10,000 \end{gathered}\)For x = 200:
\(\begin{gathered} y=90(200)+1000 \\ y=18,000+1000 \\ y=\$19,000 \end{gathered}\)For x = 300:
\(\begin{gathered} y=90(300)+1000 \\ y=27,000+1000 \\ y=\$28,000 \end{gathered}\)Therefore, the complete table is
Now, let us find the number of computer desk that can be produced for $7570.
Substitute y = 7570 into the function
\(\begin{gathered} y=90x+1000 \\ 7570=90x+1000 \\ 7570-1000=90x \\ 6570=90x \\ \frac{6570}{90}=x \\ 73=x \\ x=73 \end{gathered}\)Therefore, 73 computer desks can be produced for $7570.
plsssssssssss help me
Answer: 40
Step-by-step explanation:
38+ 52=90
230-90=40
The volume of a cube is 441cm3.
Work out the length of its side rounded to 1 DP.
Answer:
volume of a cube = 441cm3.
l³=441cm³
l=7.6cm
A research analyst disputes a trade group's prediction that back-to-school spending will average $606.40 per family this year. She believes that average back-to-school spending will significantly differ from this amount. She decides to conduct a test on the basis of a random sample of 20 households with school-age children. She calculates the sample mean as $628.85. She also believes that back-to-school spending is normally distributed with a population standard deviation of $45. Use 5% significance.
Part 1
State the null hypothesis and the alternative hypothesis for testing that the average back-to-school spending differs from $606.40.
Part 2
State the critical value(s) for testing this hypothesis.
Part 3
Calculate the test statistic Z for testing this hypothesis
Part 4
State and support your conclusions
Based on the calculations we have rejected the null hypothesis .
Given,
Standard deviation = $ 45
Random sample = 20
Now,
Part 1
Set the null hypothesis and alternative hypothesis,
\(H_{0} : u = 0\\ H_{0} : u > 606.40\)
Part 2
The value of z critical signifies 5% level of significance .
\(Z_{0.05} = 1.65\)
According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .
Part 3
The value of Z can be calculated by the formula,
Z = X - µ/σ/√n
Substitute the values ,
Z = 628.85 - 606.40/45/√20
Z = 1.93
Part 4
From the above calculation the value of Z is greater than the critical value .
Thus we reject the null hypothesis .
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Which of the following statements about using handouts is true? The best way to use handouts will depend on the situation. Handouts should never be more than a quick-reference sheet. O Handouts should always be given before a presentation. O Handouts should always be given after a presentation. o Avoid giving handouts to encourage listeners to take notes
The true statementsa about using handouts is A: "The best way to use handouts will depend on the situation".
The effectiveness of using handouts depends on the specific situation and the purpose of the presentation. Handouts can serve different purposes, such as providing additional information, summarizing key points, or facilitating note-taking.
While handouts can be used as quick-reference sheets, it is not necessarily true that they should never be more than that. Depending on the context, handouts can include detailed information, visuals, or supplementary materials that enhance the presentation.
There is no hard and fast rule that handouts should always be given before or after a presentation. The timing of handing out the handouts can vary based on the presenter's preference, the content being presented, and the audience's needs.
Additionally, while some presenters may avoid giving handouts to encourage active note-taking, others may choose to provide handouts as a helpful resource for the audience.
Therefore, the best way to use handouts will depend on the specific circumstances, and there is no one-size-fits-all approach.
Option A) The best way to use handouts will depend on the situation is the correct answer.
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Part B
Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural
numbers, n.
Hint: Since the total number of dots increases by n each time, prove that d (k) + (k+1)=d(k+1).
BIUX¹ X₂ 15px
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We have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.
Mathematical Induction : For each and every natural number n, mathematical induction is a method of demonstrating a statement, theorem, or formula that is presumed to be true.
It is given that the statement is true for n = k
Explanation:
According to the principle of Mathematical Induction,
Let d(n) be a statement involving Natural Number n such that
d(1) is true
d(m) is true
d(m+1) is true
So , the statement d(n) is true for all the n natural numbers.
According to the second principle of Mathematical Induction
Let d(n) be a statement involving Natural number n such that
d(1) is true
d(m) is true when d(n) is true for all n where 1 ≤ n ≤m .
Then the statement d(n) is true for all the values of n ( natural number)
Therefore , we have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.
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What are the solutions to the system of equations graphed below?
A. (-2,0) and (2,0)
B. (-2,0) and (6,0)
C. (-3,3) and (6,0)
D. (-3,-3) and (0,6)
The solutions to the system of equations graphed below are (- 3, - 3) and (0, 6).
What is the graph of an equation?The graph of an equation represents the nature of the equation. By plotting the graph of an equation we can visualize it.
Two graphs of two equations are given.
The solution of two equations can be calculated easily by plotting them on a graph properly.
These two graphs cut each other at points (- 3, - 3) and (0, 6).
Therefore, the solutions of these two graphs are (- 3, - 3) and (0, 6).
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3. How many 4-cm cubes can fit into a rectangular box 1 m long, 0.4 m wide, and 0.6 m high?
Answer:
4000 cubes
Step-by-step explanation:
Well all you need to dois finding the volume of the rectangle than the volume of the cube.After finding that you need to devide the rectangle volume with the cube volume.
Vrectangle=1m×0.4m×0.6m=0.256m^3
4cm=4/100 m = 0.04m
Vcube=0.04^3=0.000064m^3
Vrec/Vcube =》 0.256/0.000064=4000 cubes with a=0.04m
Thanks
Can you I dentify the following number. Choose all that apply?
The number given is
\(5\sqrt[]{2}\)It is a real number , irrational number and integer.
The correct options are
Irrational number
Integer
Real number.
Which of the following relationships represents a function? Select all that apply.
A. {(1,4),(2,8)
B. [(4,6),(4,5),(4,4)}
C. [(-4,2), (-2,8),(-1,9), (6,3)}
D. {(-2, -1), (1, -1), (7,-1), (8, -1)}
Answer:A,C,D
Step-by-step explanation:
A function can’t have repeating x-values. Each assigns exactly one range (y-value) to each domain (x-value)
Which section of the function is constant?
A graph is shown. Segment A begins at the origin and continues upward. Segment B continues upward at a faster rate. Segment C is a horizontal line. Segment D continues upward
Group of answer choices
C
B
A
D
Answer:
Segment C
Step-by-step explanation:
constants have no slopes and are therefore straight, horizontal lines
Unconfined test was ran on a clay sample and the major stress at failure is 3,000 psf. What is the unconfined compression strength of the clay sample
The unconfined compression strength of the clay sample is equal to the major stress at failure, which is 3,000 psf.
To determine the unconfined compression strength of the clay sample, given that the major stress at failure is 3,000 psf, you can follow these steps:
1. Identify the major stress at failure, which is 3,000 psf in this case.
2. The unconfined compression test measures the unconfined compressive strength (UCS) of the clay sample. Since there is no lateral confinement in this test, the major stress at failure is equal to the unconfined compressive strength.
3. Therefore, the unconfined compression strength of the clay sample is 3,000 psf.
In summary, the unconfined compression strength of the clay sample is equal to the major stress at failure, which is 3,000 psf.
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A motor boat whose speed is 18 km/h in still water. It takes 1 hour more to go
24 km upstream than to return downstream to the same spot. Find the speed of the boat?
The speed of the stream is 6 \(km/h\)
Let the speed of the stream be x km/h.
Therefore, the speed of the boat upstream = (18 – x) km/h, and the speed of the boat
downstream = (18 + x) km/h.
The time is taken to go upstream = distance/speed
\(24/(18-x)\) hours.
Similarly, the time is taken to go downstream =
\(24/(18+x)\) hours.
According to the question,
\(24/(18-x) - 24/(18+x) = 1\)
\(x^{2} +48x-324=0\)
Using the quadratic formula, we get
\(x=\frac{-48+\sqrt{48^{2}+1296 } }{2}\)
x = 6 or -54
Since x is the speed of the stream, it cannot be negative. So, we ignore the root x = – 54.
Hence the speed of the stream is 6 km/h.
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Please help me answer number 3, will give brainliest.
Answer:
4
Step-by-step explanation:
Answer:
multiply the length of one side by the square root of 2: If the length of one side is x... The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular.
Step-by-step explanation:
sorry if this dont help ^^
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds
The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
What is time period of pendulum?Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.
The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.
The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,
\(d = 11 \cos\left( \dfrac{8\pi}{5}t\right)\)
At the maximum position, the time period is zero. Thus,
\(\dfrac{8\pi}{5}t=0\\t=0\)
At the minimum position, the period equal to the π. Thus,
\(\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625\)
This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,
\(t=0.625+0.625\\t=1.25\rm\; s\)
Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
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Answer:
C:1.25
Step-by-step explanation:
What percent is 7 out of 20?
Step-by-step explanation:
35%Therefore, 7/20 in terms of percentage is 35%
Now, let us express 7/20 in terms of decimals. To convert any fraction to a decimal, we divide the numerator by the denominator.
Step-by-step explanation:
35%
Therefore, 7/20 in terms of percentage is 35%
Now, let us express 7/20 in terms of decimals. To convert any fraction to a decimal, we divide the numerator by the denominator.
Lila read 84 pages in 2 days and 210 pages in 5 days. The relationship between the number of days, x, and the number of pages, y, is
proportional
Move expressions to the lines to create an equation that represents the relationship between the number of days and the number of pages
Lila reads.
+42
y +42
x + 126
+ 126
42x
42y
126.x
126y
The equation that represents the relationship between the number of days and the number of pages Lila reads is y = 42x
If Lila read 84 pages in 2 days and 210 pages in 5 days, the number of pages "y" and the number of days "x" can be express in coordinate form as shown:
(2, 84) and (5, 210)
To get the required equation, we will find the equation of the line passing through the coordinate points as shown:
y = mx + b
m is the slope
b is the y-intercept;
Get the slope
\(m =\frac{210-84}{5-2}\\m=\frac{126}{3}\\m=42\\\)
Get the y-intercept:
84 = 42(2) + b
84 = 84 + b
b =0
Get the required equation:
Recall that y = mx+ b
y = 42x + 0
y = 42x
Hence the equation that represents the relationship between the number of days and the number of pages Lila reads is y = 42x
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Which of the following is(are) thesolution(s) to 7|X+2|=-49?
explain why it is possible to generate categorical variables from continuous data but not possible to obtain continuous data from categorical variables.
Generate categorical variables from continuous data by defining categories and assigning values, but you cannot obtain continuous data from categorical variables due to the loss of precision during the conversion process.
The reason why it is possible to generate categorical variables from continuous data, but not possible to obtain continuous data from categorical variables is due to the inherent nature of each type of variable.
To generate categorical variables from continuous data, you can follow these steps:
1. Define categories or groups based on a specific criterion. For example, dividing people into "short", "medium", and "tall" based on their heights.
2. Assign the continuous data values to the appropriate categories based on the defined criterion. For example, people with height less than 5 feet are considered "short", between 5 and 6 feet as "medium", and above 6 feet as "tall".
However, obtaining continuous data from categorical variables is not possible because categorical data does not have the same level of precision or granularity as continuous data. For instance, if you only know that someone is "tall," you cannot determine their exact height, as the information is lost when converting continuous data to categorical data.
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Say that the economy is in a recession, which is causing the value of gold to fall by three percent. If you have gold reserves which were previously worth $8,590, how much value have you lost as a result of this recession, to the nearest cent? a. $590. 00 b. $286. 33 c. $257. 70 d. $250. 19.
Answer:
D
Step-by-step explanation:
8590 x 0.03 = 257.70
._.
using f '(x) = lim h→0 f(x + h) − f(x) h with x = 0, we have f '(0) = lim h→0 f(0 + h) − f(0) h
f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.
In the context of calculus, the derivative measures the rate of change of a function at a specific point. By taking the limit as h approaches 0, we are considering the instantaneous rate of change or the slope of the tangent line at x = 0.
The expression f'(0) represents the value of the derivative of the function f(x) at x = 0. This value indicates how the function is changing at that particular point. The limit h→0 ensures that we are approaching the point of interest as closely as possible, allowing us to capture the exact rate of change at x = 0.
Overall, f'(0) is the derivative of the function f(x) evaluated at x = 0, and it provides information about the instantaneous rate of change of the function at that specific point.
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are 2x-7 equivalent to 2(x-2)+3
Answer:
No they are not equivalent.
Step-by-step explanation:
2(x - 2) + 3
First distribute the 2. It goes to both the x and also to the - 2
= 2x - 4 + 3
Add - 4 + 3
= 2x - 1
This is not equal to 2x - 7
true/false : within plus and minus two standard deviations of the mean, the area under any normal curve is about 68%
Answer:
False
Step-by-step explanation:
68% falls between the first standard deviation from the mean.
plus minus two would fall under 95%
your Dad needed to get two matching gifts for his nephews, so he went to the store with $75 cash in his wallet. After buying the two gifts, now he has just $17 left over. How much did each gift cost?
Answer:
$29
Step-by-step explanation:
Since the gifts are matching, the cost of each gift be equal, say $x
Now, Total cash - cash leftover = cost of both gifts
which is, 75 - 17 = 2x
or $58 = 2x
Thus, x would be 58/2 = $29
Or each gift would cost $29
what is the answerrrr to thisssssss -8 ( -25 - 7 ) =
Answer:
your answer is 256
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
Need some help with this one!!!
Answer:
210
Step-by-step explanation:
2 x 3 x 5 x 7 = 210
Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -2Which of the following relations represents a function?
Answer:
III
Step-by-step explanation:
A function must have 1 y value assigned to each x value.
If one measurement of a golden rectangle is 5.4 inches, what is the other measurement?
a.
8.737
b.
7.018
c.
1.618
d.
3.782
Answer:
answer is a
Step-by-step explanation:
the golden ratio is 1.618
5.48 ~ 1.618 = 8.737