Answer:
Area of a triangle
Step-by-step explanation:
Area of a triangle = (1/2)(b)(h)
Answer: It is used to find the area of a triangle
g 6. if you had to hike up the top of stone mountain which side would you choose to climb? why? (remember your rules about contour intervals! use the cardinal direction in your description.) 7. you do not have enough information from this map to calculate the slope. what are you missing?
I would choose the western side to climb because it is less steep then others.
What is steepness?In mathematics, a line's steepness is determined by its slope (or gradient). The slope is the ratio of any two points on a line's vertical and horizontal distances. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope's absolute value serves as a gauge for a line's steepness, incline, or grade. A steeper line is indicated by a slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical. If a line rises from left to right, it is said to be increasing.
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A boat's speed in still water is 4 km/h. The boat cruises from A to B along a river flowing at an average speed of x km/h in the direction A to B. If the distance AB is 5 km and the boat takes 2 hours more on its return journey, determine x. Hence, find the total time taken for the whole journey.
x is 6.215 km and the total time taken for the whole journey is 3.61 hours.
Boat's speed in still water = u = 4 km/h
Speed of stream = v
Distance between A and B = 5 km
Upstream speed = u - v
= 4 - v
Time taken = [tex]T_{1}[/tex] = [tex]\frac{5}{4-v}[/tex]
Downstream speed = x = u + v
= 4 + v
Time taken = [tex]T_{2}[/tex] = [tex]\frac{5}{4+v}[/tex]
According to question,
[tex]T_{1}= T_{2}+2[/tex]
[tex]\frac{5}{4-v}=\frac{5}{4+v}+2[/tex]
[tex]\frac{5}{4-v}=\frac{5+2(4+v)}{4+v}[/tex]
[tex]\frac{5}{4-v}=\frac{5+8+2v}{4+v}[/tex]
5(4+v) = (13+2v)(4-v)
20+2v = -2[tex]v^{2}[/tex]-5v+52
[tex]2v^{2}+10v-32 = 0[/tex]
[tex]v^{2}+5v-16 = 0[/tex]
v = 2.215 or -7.215
Speed can't be negative.
Therefore, v = 2.215
Upstream speed = 4 - 2.215
= 1.785 km/h
Downstream speed = 4 + 2.215
= 6.215 km/h
[tex]T_{2}[/tex] = 5/6.215
= 0.805 h
[tex]T_{1}[/tex] = 2 + 0.805
= 2.805 h
Total time = 2.805 + 0.805
= 3.61 h
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In machine tool feed rate or dimenional change notation, dimenional ditance i related to rotation or travel change. Three of the more common notation are IPM, IPR, or TPI, In each of thee expreion R=_____, T=_____, and I=_____
A. Rotational, total, inertion
B. Revolution, taper, inche
C. Radiu, turn, increment
D. Radian, taper, inch
The R means Revolution, T means taper and I means inch. The correct option is B.
Given that in machine tool feed rate or dimensional change notation, dimensional distance i related to rotation or travel change.
We want to find the expression R, T and I.
Machining center programmers specify spindle speed in revolutions per minute (RPM). Feedrates per minute are often given in either inches per minute (ipm) or millimeters per minute (mmpm).
From the above definition, we get that R means Revolution, I means inch and T means taper.
Hence, The expressions R means revolution, T means taper and I means inch for the three of the more common notation are IPM, IPR, or TPI.
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5.7 gal/h = c/min? What is the answer
Answer:
5.7 gal / hour
5.7 gal / 60 min
5.7(16) c / 60 min
What is the image point of (8,4)(8,4) after a translation left 2 units and down 4 units?
The image of point (8,4) after translation is (-6,0).
What is image of a point?
A transformation where a point is moved across a certain line, called the line of reflection, to appear at an equal distance.
Main Body:
Given point is (8,4)
Translation in the point is left 2 units, down 4 units.
so left- right translation is done on x-axis where moving left means subtracting is while up - down translation is done on y- axis where moving down means subtracting.
Which means 2 units will be subtracted from x-axis and 4 units from y-axis
New point = (8-2 ,4-4)
= (6,0)
Image of point (6,0) according to y-axis will be (-6,0).
Hence image point is (-6,0)
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Which represents the explicit formula for the arithmetic sequence an = 15 + 5(n - 1) in function form?
The explicit formula for the arithmetic sequence an = 15 + 5(n - 1) in function form is; aₙ = 5n + 10
How to find the explicit formula for an arithmetic sequence?The explicit formula for an arithmetic sequence is usually expressed as;
an = a + (n - 1)d
It could also be that any term of the sequence can be computed, without even knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic sequence.
We are given that the arithmetic sequence is represented by;
aₙ = 15 + 5(n - 1)
To write in function form, we apply distributive property to the terms within the bracket (parentheses) to get:
aₙ = 15 + 5n - 5
Rearranging gives us;
aₙ = 15 - 5 + 5n
aₙ = 5n + 10
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Complete question is;
Which represents the explicit formula for the arithmetic sequence an=15+5(n−1) in function form?
A
f(n)=5n+15
B
f(n)=n+20
C
f(n)=5n+10
D
f(n)=n+10
a spinner is broken into sections labeled 1 to 37. what is the probability that, on your next spin, that you will spin a number greater than 9?
The probability of getting a number < 9 is 28/37.
What is probability?
The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.
Probability(Event) = Favorable Outcomes / Total Outcomes
Main Body:
Total numbers on the spinner greater than 9 = 37 - 10 + 1 = 28
(we are subtracting 10 because we need number that is greater than 10.)
and adding 1 because both the ends of interval is counted.
total numbers on spinner =37
P( x>9) = 28/37.
Hence the probability of getting a number greater than 9 on spinning is 28/37.
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Match the expression on the left with its simplified form on the right. Answer options on the right may be used more
than once.
-(-1)
-|-1|
-|1|
|1|
|-1|
1
-1
The solutions of the expressions -(-1), -|-1|, -|1|, |1|, and |-1| are 1, -1, -1, 1, and 1.
We are given five expressions. An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. The first expression is -(-1). The simplified solution of the first expression is 1. The second expression is -|-1|. The simplified solution of the first expression is -1. The third expression is -|1|. The simplified solution of the first expression is -1. The fourth expression is |1|. The simplified solution of the first expression is 1. The fifth expression is |-1|. The simplified solution of the first expression is 1.
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according to smith travel research, the average hotel price in the united states in 2009 was $97.00. assume the population standard deviation is $18.00 and that a random sample of 40 hotels was selected. what is the probability that a randomly selected sample mean will be more than $100?
The probability that a randomly selected sample mean will be more than $100 = 0.14082.
We are given that according to a research institution, the average hotel price in a certain year was $97.00.
Assume the population standard deviation is $18.00 and that a random sample of 40 hotels was selected.
Here, Mean = μ = $97.00 and Standard deviation = σ = $18 and n = 40
(a) Standard error of the mean = σ/[tex]\sqrt{n}[/tex] = 18/[tex]\sqrt{40}[/tex] = 2.74
(b) Let X bar = Sample Mean
The z score probability distribution for sample mean is ;
Z = Xbar-μ/ σ/[tex]\sqrt{n}[/tex] ~ N(0,1)
So, Probability that the sample mean will be less than $102 = P(X bar < $102)
P(X bar < 102) = P(Xbar-μ/ σ/[tex]\sqrt{n}[/tex] < 102 - 97.00/ 18/[tex]\sqrt{40}[/tex]) = P(Z < 0.74) = 0.7704
(c) Probability that the sample mean will be more than $104 =P(X bar > $104)
= P(X bar > 104) = P(Xbar-μ/ σ/[tex]\sqrt{n}[/tex] < 104 - 97.00/ 18/[tex]\sqrt{40}[/tex]) = P(Z > 1.47) = 1 - P(Z <= 1.47)
= 1 - 0.92922 = 0.0708
(d) Probability that the sample mean will be between $99 and $100 is given by = P($99 < X bar < $100) = P(X bar < $100) - P(X bar <= $99)
= P(X bar < 100) = P(Xbar-μ/ σ/[tex]\sqrt{n}[/tex] < 100 - 97.00/ 18/[tex]\sqrt{40}[/tex]) = P(Z < 0.01) = 0.50399
= P(X bar <= 99) = P(Xbar-μ/ σ/[tex]\sqrt{n}[/tex] <= 99 - 97.00/ 18/[tex]\sqrt{40}[/tex]) = P(Z <= -0.35) = 1 - P(Z <= 0.35)
= 1 - 0.63683 = 0.36317
Therefore, P($99 < X bar < $100) = 0.50399 - 0.36317 = 0.14082 .
Hence the answer is the probability that a randomly selected sample mean will be more than $100 = 0.14082.
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Find the sum of the interior angle measures of the polygon.
The sum of the angles is
Answer:
2160°
Step-by-step explanation:
We have,
Number of Sides, n = 14
So,
Sum of all interior angle = pi ( n - 2 )
or, Sum of all interior angle = pi ( 14 - 2 )
or, Sum of all interior angle = 12 pi radians.
We know,
1 radian = ( 180 / pi ) (degree)
or, 12 radians = 2160 (degree)
Solve two-thirds + five-eighths = ___.
Answer:
1 7/24
Step-by-step explanation:
2/3+ 5/8= (2 × 8)(3 × 8)+ (5 × 3)(8 × 3) = 16/24+ 15/24= 16 + 15/24= 31/24 = 1 7/24
Answer:1 7/24
Step-by-step explanation:
i need help on this thanks
The value of x that makes m || n is x = 20
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
The alternate interior angles of two intersecting lines, such as line "m" and line "n" in the exercise, must both be congruent in order for m || n to exist. Realizing that congruent means the same thing.Two alternate internal angles in the exercise are (2x+20)° and 3x°Solving this for ''x'' :.
3x=2x+20x=20The value of x that makes the opposite inner angles congruents (making 3x° congruent to 2x+20°) is x = 20.
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need help with another math problem
Answer: y = -x-1
Step-by-step explanation:
whats an equation where the slope is 2/3 and y-intercept is -8
Answer: y=2/3x-8
Step-by-step explanation:
Insert the given information into the y=Mx+b equation
Given that
x
= 8.1 m and
θ
= 28°, work out BC rounded to 3 SF.
The length of BC rounded to 3 decimal places is 4.307 meters.
What is Pythagoras theorem ?
It states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the base and perpendicular. Mathematically -
h² = p² + b²
We have the following length and angle as shown in the figure -
[x] = AB = 8.1
θ = ∠BAC = 28°
Using the tangent rule we can write -
tanθ = BC/AB
BC = AB tanθ
BC = 8.1 x tan(28°)
BC = 4.307
Therefore, the length of BC rounded to 3 decimal places is 4.307 meters.
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is a monotone sequence? if such an exists give the least value of . if it does not exist then enter na.
Yes, monotone is a sequence.
We say that a sequence (xn) is increasing if xn ≤ xn+1 for all n and strictly increasing if xn < xn+1 for all n.
Similarly, we define decreasing and strictly decreasing sequences. Sequences which are either increasing or decreasing are called monotone.
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Suki has placed $800 in an account that pays 4 percent interest compounded quarterly. At the end of two years (eight quarters), the balance in the account will be $. That means suki will have earned $ in interest during that time. (round your answers to the nearest cent. ) what will be the balance in the account at the end of two years (eight quarters)? how much interest will suki have earned during that time? (round your answers to the nearest cent. ).
The account balance at the end of two years (eight quarters) is $866.24.
Suki earned $66.24 interest during that time.
What do you mean by interest rate?
The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.
According to data in the given question,
We have:
Placed amount= A= $800
Interest rate (quarterly)= r= 4%
Time= t = 2 years
Now, we will using the formula below:
[tex]A=P(1+\frac{r}{n} )^{nt}\\=800(1+\frac{0.04}{4} )^{4*2}\\=800(1+0.01 )^{8}\\=800(1.0828)\\=866.24[/tex]
So, the account balance at the end of two years (eight quarters) is $866.24.
Then, we have to determine the earned interest during that time,
Earned interest= A-P
= 866.24 - 800
= 66.24
Therefore, she earned $66.24 interest during that time.
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The amount of money earned, in dollars, varies directly as the number of hours worked. After 9 hours, 270 dollars were earned.
How long, in hours, does it take to earn 390 dollars? Do not include units in your answer.
Answer: 13 Hours
Step-by-step explanation:
1. 270/9 = 30 dollars per hour
2. 390/30 = 13 hours
For a circle with a radius = 4.3, find the following
The circumference is 27.004 and the Area is 58.0586 calculated for the circle with radius of 4.3 and π = 3.14
Circumference and Area of a circleThe circumference of a is the arc length of the circle with the formula 2πr. While the area of a circle is calculated with formula πr²
Given radius r = 4.3 and π = 3.14
circumference = 2 × 3.14 × 4.3
circumference = 27.004
Area of the circle = 3.14 × 4.3²
Area of the circle = 3.14 × 4.3 × 4.3
Area of the circle = 58.0586
Therefore, the circumference and area of the circle with radius of 4.3 is 27.004 and 58.0586 respectively.
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6% of a length is 390m what is the original length?
The original Length is, 6500 m.
What is Length?The industry norm for graphics is width by height (width x height). Hence, you should always write your measurements from your perspective, starting with the width.The value-length command defines the longest value, in bytes, that the parse action will allow in a document.Considering that 390 m equals 6% of a lengthLet the starting length be aThe original length is 6500 m because 6% of a = 390 a*6/100 = 390 a = 390*100/6 a = 6500.The earliest known units used by ancient peoples to measure length are the Egyptian cubit, the Indus Valley units of length mentioned above, and the Mesopotamian cubit, all of which were in use in the third millennium BC.To learn more about Length refer to:
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calculate a 90% confidence interval for the mean airborne time for flights from san francisco to washington dulles. (round your answers to three decimal places.)
The 90% confidence interval for the mean is (264.6935,275.5065)
What is meant by confidence interval?A confidence interval (CI) in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified confidence level; the 95% confidence level is the most frequent, but other levels, such as 90% or 99%, are occasionally used. The confidence level denotes the long-run proportion of related CIs that include the true value of the parameter. For example, 95% of all intervals generated at the 95% level should contain the parameter's true value.
From the given data ,
Sample mean = X = 270.1
Sample standard deviation = s = 9.3268
n = 10
Therefore , the 90% confidence interval for the mean is ,
[tex]\bar{X}[/tex]±[tex]t_{n-1,\alpha /2}[/tex](s/√n)
270.1 ± [tex]t_{10-1.0.10/2}[/tex](9.3268/√10)
270.1 ±1.8331 ×2.9494
270.1 ± 5.4065
(264.6935,275.5065)
Therefore, the 90% confidence interval for the mean is (264.6935,275.5065)
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The complete question is:
"The following are airborne times (in minutes) for 10 randomly selected flights from San Francisco to Washington Dulles airport. 269 255 267 285 274 275 266 258 271 281
(a) Compute a 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles. (Round your answers to three decimal places.)"
The charge of 0.25 quintal to a certain distance is Rs45, how many quintals can be carried for Rs180 to the same direction
1 Quintal can be carried for Rs 180 to the same direction.
Given that the charge of 0.25 quintal to a certain distance is Rs 45.
With Rs 45, 0.25 quintals can be carried.
With Rs 1, 0.25/45 quintals can be carried in same direction.
With Rs 180, (0.25*180)/45 = 1 quintal can be carried in same direction.
Hence 1 Quintal can be carried for Rs 180 to the same direction.
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HELP PLEASE HELP I NEED THIS IN A FEW MINUTES ITS URGENT PLEASEEEE T.T
using the expression x+3 write one equation that has one solution, one equation that has no solution, and one equation that has infinitely many solutions.
a. The equation that has one solution will be;
⇒ x + 3 = 4x
b. The equation that has no solution will be;
⇒ x + 3 = x
c. The equation that has infinitely many solution will be;
⇒ x + 3 = 3 (x/3 + 1)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x + 3
Now,
Use the expression x + 3, we can find as;
Let us defined an expression as;
⇒ x + 3 = 4x
Solve for x as;
⇒ x + 3 = 4x
⇒ x + 3 - 4x = 0
⇒ - 3x = - 3
⇒ x = 1
Hence, The equation has one solution.
Let us defined an expression as;
⇒ x + 3 = x
Solve as;
⇒ x + 3 = x
Subtract x both side, we get;
⇒ x + 3 - x = x - x
⇒ 3 ≠ 0
Thus, The equation has no solution.
Let us defined an expression as;
⇒ x + 3 = 3 (x/3 + 1)
Solve as;
⇒ x + 3 = 3 (x/3 + 1)
⇒ x + 3 = 3x/3 + 3
⇒ x + 3 = x + 3
Subtract x we get;
⇒ 3 = 3
Thus, The equation has infinitely many solution.
Therefore,
a. The equation that has one solution will be;
⇒ x + 3 = 4x
b. The equation that has no solution will be;
⇒ x + 3 = x
c. The equation that has infinitely many solution will be;
⇒ x + 3 = 3 (x/3 + 1)
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Answer:
1/ x+3 = 4x
2/ x=x
3/ x+3 = 3
Step-by-step explanation:
Hope you find it helpful!
If you can please give me a Brainliest, thank you!
20 POINTS
please use what is provide and converse it simply for my monkey brain
Answer:
Step-by-step explanation:
Inverse matrix:
can you guys please answer this? its timed so dont take too long!
The expression equivalent to (5z² + 3z + 2)² is 25x⁴ + 30z³ + 29z² + 12z + 4.
The correct answer option is option D
What is the equivalent expression?(5z² + 3z + 2)²
Expand the expression(5z² + 3z + 2) (5z² + 3z + 2)
= 25z⁴ + 15z³ + 10z² + 15z³ + 9z² + 6z + 10z² + 6z + 4
collect like terms= 25x⁴ + 15z³ + 15z³ + 10z² + 9z² + 10z² + 6z + 6z + 4
= 25x⁴ + 30z³ + 29z² + 12z + 4
In conclusion, the equivalent expression is 25x⁴ + 30z³ + 29z² + 12z + 4.
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Compute the sample standard deviation for strength of the concrete (in psi).
3940, 4140, 3200, 3200, 2990, 3810, 4140, 4040
The range is 1150 psi.
S=__psi
(Round to one decimal place as needed.)
Answer: The standard deviation is 443.6 (rounded up to one decimal place)
Step-by-step explanation:
σ2 = (Σ(xi - μ)^2)/N
= ((3940 - 3682.5)^2 + ... + (4040 - 3682.5)^2)/8
= 1574150/8
= 196768.75
σ = [tex]\sqrt{196768.75}[/tex]
= 443.58623738795
Frequency Table
Value Frequency
2990 1 (12.5%)
3200 2 (25%)
3810 1 (12.5%)
3940 1 (12.5%)
4040 1 (12.5%)
4140 2 (25%)
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Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.
His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to seventy-two with a scale of eight and is titled Time in minutes. The vertical axis is from negative four hundred to four hundred eighty with a scale of eighty and is titled Altitude in meters. The graph of the line is y equals negative eleven x plus four hundred forty.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to seventy-two with a scale of eight and is titled Time in minutes. The vertical axis is from negative four hundred to four hundred eighty with a scale of eighty and is titled Altitude in meters. The graph of the line is y equals negative eleven x plus four hundred forty.
How fast did Amir descend?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
404040 meters per minute
(Choice B)
B
101010 meters per minute
(Choice C)
C
202020 meters per minute
(Choice D)
D
111111 meters per minute
The function (equation) that returns Amir's altitude, y, with respect to time, x, y = -11·x + 440, when differentiated, to find the rate of change of the altitude, indicates that rate at which Amir descended is D. 11 meters per minute
What is differentiation in mathematics?Differentiation is the process or method by which the derivative of a function is found. The derivative indicates the instantaneous rate at which the value of the function changes with respect to the change in the argument of the function.
The equation of the function that gives his altitude relative to the sea level as a function of time is; y = -11·x + 440
The differentiation of the function for the height, y, in terms of the time, x, gives the speed which is the same as the at which Amir descended as follows;
[tex]Speed = \dfrac{dy}{dx} = \dfrac{d}{dx} \left(-11\cdot x+400\right) = -11[/tex]
The speed with which Amir descends is 11 meters per minute
The correct option is D. 11 meters per minute
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2. Which of the following is true for f?
f(x)=
3x + 1, if -9 < x < -2
-5, if-2 < x≤ 1
(x-6, if 1
A The domain is -9 < x < -2, -2
B The range is (-26, 1).
The function is decreasing over the interval (-2, 1).
D The rate of change over the interval (-9, 1] is 3.
The statement (B) "the range is (-26, 1)" is TRUE.
What is a domain in functions?The range of values that we are permitted to enter into our function is known as the domain of a function.The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, this set of values is what the function outputs.So, we have:
f(x) = 3x + 1, if -9 < x < -2-5, if-2 < x≤ 1x-6, if 1The statement is:
A) The domain of this function is 9 < x ≤ 1.B) The range is (-26, 1).C) The function is decreasing over the interval [-9,-2] and increasing over the interval [-2,1].D) The rate of change for the function over the interval is -2.Therefore, the statement (B) "the range is (-26, 1)" is TRUE.
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equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six
The equivalent Algebraic Expression is represented by [ (1.5)³/(1.3)⁴ ]⁻⁶ .
An Algebraic Expression is defined as an expression that is made up of constants and variable and joined by mathematical operators .
In the question ,
a expression is expressed in words , we have to write an equivalent expression for it .
the statement 1.5 cubed is (1.5)³
1.5 cubed over 1.3 is = (1.5)³/1.3
1.5 cubed over 1.3 raised to the fourth power = (1.5)³/(1.3)⁴
and all raised to the power of negative six = [ (1.5)³/(1.3)⁴ ]⁻⁶
Therefore , The equivalent Algebraic Expression is represented by [ (1.5)³/(1.3)⁴ ]⁻⁶ .
The given question is incomplete , the complete question is
Write an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six ?
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em.
AWAL
2 Mr. Olin bought 6 sketchbooks for the
students in his art class. Each sketchbook
was on sale for $3 off. If the sketchbooks
cost $18 total before tax, what was the
original price of each sketchbook?what is the two step equation?
The original price of each sketchbook is $6
Mr. Olin bought 6 sketchbooks for the students in his art class.
If the sketchbooks cost $18 total before tax
Each sketchbook was on sale for $3 off
We need to calculate the original price of each sketch book.
If the sketchbooks cost $18 total before tax
Cost of each text book = total cost / number of sketchbooks
= 18/6 = 3
Cost of each sketch book is $3
Each sketchbook was on sale for $3 off
Cost price = original price = discount
3 = original price - 3
original price = 6
Therefore, the original price of each sketchbook is $6
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