helppp ... see picture
Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.
x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction
What is Tyler’s error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power x cubed should be in the numerator and the power y Superscript 9 in the denominator.
The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.
Answers
The Tyler’s error is Both powers should be in the denominator with positive exponents.
what is exponents?The exponent of a number shows how many times the number is multiplied by itself.
For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, [tex]x^n[/tex]means that x is multiplied by itself for n times.
given:
[tex]x^{-3} y^{-9}[/tex] = 1/x³ × [tex]1/ y^{-9}[/tex]
As, we know using the law of exponents
[tex]a^{-m} = 1/a^m[/tex]
So, [tex]x^ {-3} = 1/[/tex]x³
and, [tex]y^{-9}[/tex] = [tex]1 / y^9[/tex]
Then, we can write
[tex]x^{-3} y^{-9}[/tex] = 1/x³ × [tex]1/ y^{9}[/tex]
Hence, Both powers should be in the denominator with positive exponents.
Learn more about exponents here:
https://brainly.com/question/219134
#SPJ1
Related Questions
prove that: [tex](a+b)^-^1.(a^-^1 +b^-^1) = (ab)^-^1[/tex]
Answers
Answer:
See below
Step-by-step explanation:
[tex]\frac{1}{a+b}[/tex] ([tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex])
[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b}{ab}[/tex] + [tex]\frac{a}{ab}[/tex])
[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b+a}{ab}[/tex])
[tex]\frac{(a+b)}{(a+b)(ab)}[/tex]
[tex]\frac{1}{ab}[/tex]
[tex]ab^{-1}[/tex]
Please help!
Find the value of x and y
Answers
We can conclude that the value of angle y is 70° and x is 35°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.So, a measure of 'x':
We can see that ∠BAC = ∠DAE (Inversely opposite angles)
∠BAC = ∠DAE = 40°We can observe that △DAE is an isosceles triangle with ∠2x and ∠y being equal.Let 2x be y for instance:
y + y + 40 = 1802y = 180 - 402y = 140y = 140/2y = 70°Now, we know that y = 70 and similarly 2x = 70.
Now, solve for 'x' as follows:
2x = 70x = 70/2x = 35°Therefore, we can conclude that the value of angle y is 70° and x is 35°.
Know more about angles here:
https://brainly.com/question/25716982
#SPJ13
2/4 x 1/3 because i need help
Answers
Answer:
5/6
Step-by-step explanation:
Step 1: Find the GCD (greatest common denominator)
12
Step 2: multiply your factions to represent this
[tex]\frac{2x3}{4x3} = \frac{6}{12} \\[/tex] , [tex]\frac{1x4}{3x4} = \frac{4}{12}[/tex]
Step 3: add the numerators:
[tex]\frac{6}{12} + \frac{4}{12} = \frac{10}{12}[/tex]
Step 4: reduce your fraction
[tex]\frac{10}{12} = \frac{5}{6}[/tex]
Hope that helps
Fraction multiplication
2/4 x 1/3
We reduce the fraction 2/4 to its lowest expression by extracting and canceling 2.
1/2 x (1/3)
Multiply 1/2 by 1/3 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
1 x 1/2 x 3 =====> Multiply
1/6 ====> Answer
Answer the two questions in the photo for easy points ( will mark brainliest if correct )
Answers
[10] D
A counter-example is an example that shows the argument can have true premises and a false conclusion.
Option D shows someone who is good at math, but isn't an engineer. This is a counter-example.
[11] B
Similar to the previous question, options A, B, and D are all dogs. However, option C is not a dog and also has four legs. Therefore, it is a counter-example.
What is the slope of the line on the graph
Answers
Answer:
Slope is -2!
y= -2x
Step-by-step explanation:
Based on the 2 points given: (3, -6) (-3, 6)
the perimeter of triangle abc is 90. if ab= 5x+1, bc= 2x+13 and ac = x+4 what type of triangle is abc
Answers
As all the length of each side of given triangle are unequal so the given triangle is scalene triangle
Perimeter of Triangle:-A triangle's perimeter is defined as the total length of its boundary.
The perimeter of a triangle is the sum of all three sides.
Here given that there is a triangle name ABC and the triangle ABC has the perimeter of 90.
∴ Sum of sides of triangle ABC will equal to the perimeter of triangle ABC
∴ AB + BC + AC = 90
As we have AB = 5x + 1, BC = 2x + 13, AC = x + 4
∴ 5x + 1 + 2x + 13 + x + 4 = 90
∴ 8x + 18 = 90
∴ 8x = 90 - 18
∴ 8x = 72
∴ x = 72/8
∴ x = 9.
So we get AB = 5x + 1 = 5(9) + 1 =45 + 1 = 46.
BC = 2x + 13 = 2(9) + 13 = 18 + 13 = 31.
AC = x + 4 = 9 + 4 = 13.
As all the length of each side are unequal so the given triangle is scalene triangle as an scalene triangle is a triangle in which all three side lengths are different and all three angle measurements are different. However, the sum of all interior angles is always equal to 180 degrees. Therefore, it satisfies the angle sum property of triangles.
To know more about types of triangle visit link below
https://brainly.com/question/1058720
#SPJ9
Mr. Ridley has 4 boxes of pencils and 7 single pencils. In all, he has 79 pencils. How many
pencils are there in a box?
Answers
Answer:
18
Step-by-step explanation:
You want to know the number of pencils in a box when 7 more than 4 boxes totals 79 pencils.
SetupLet b represent the number of pencils in a box. Then the total number of pencils Mr. Ridley has is ...
4b +7 = 79
SolutionThis 2-step linear equation is solved in the usual way:
Step 1: isolate the variable term
4b +7 -7 = 79 -7 . . . . . . add the opposite of the left-side constant
4b = 72 . . . . . . . . . simplify
Step 2: isolate the variable
4b/4 = 72/4 . . . . . . . . . . divide by the coefficient of the variable
b = 18 . . . . . . . . . . simplify
There were 18 pencils in each of Mr. Ridley's pencil boxes.
Can somebody trade lease help me I’m late on my work in school
Answers
The slopes for each couple of points are summarized below:
m = 2 / 3 m = - 3 / 4 m = - 2 m = Undefined m = 4 m = 0 m = 1 m = - 2 m = Undefined m = 4 / 3 m = - 2 / 7 m = 0 x = 6 y = 6 x = 11How to understand slopes in lines
Geometrically speaking, slopes in lines indicates the grade of steepness of the line itself. The slope of the line can be determine by knowning the coordinates of two distinct points set on Cartesian plane and using the secant line formula, whose definition is shown below:
m = Δy / Δx
Where:
m - SlopeΔx - Change in independent variable.Δy - Change in dependent variable.Now we proceed to answer on each case:
Case 1
m = [3 - (- 1)] / [3 - (- 3)]
m = 4 / 6
m = 2 / 3
Case 2
m = (- 2 - 1) / [2 - (- 2)]
m = - 3 / 4
Case 3
m = [2 - (- 4)] / [- 4 - (- 1)]
m = 6 / (- 3)
m = - 2
Case 4
m = Undefined, as Δx = 0.
Case 5
m = [3 - (- 1)] / (3 - 2)
m = 4
Case 6
m = 0, as Δy = 0
Case 7
m = (6 - 9) / (1 - 4)
m = - 3 / (- 3)
m = 1
Case 8
m = [- 5 - (- 1)] / [- 2 - (- 4)]
m = - 4 / 2
m = - 2
Case 9
m = (- 9 - 3) / (5 - 5)
m = - 12 / 0
m = Undefined
Case 10
m = (9 - 1) / (8 - 2)
m = 8 / 6
m = 4 / 3
Case 11
m = [- 6 - (- 8)] / (7 - 14)
m = 2 / (- 7)
m = - 2 / 7
Case 12
m = [- 3 - (- 3)] / (8 - 4)
m = 0 / 4
m = 0
Case 13
[8 - (- 4)] / (2 - x) = - 3
12 = - 3 · (2 - x)
12 = - 6 + 3 · x
18 = 3 · x
x = 6
Case 14
(4 - y) / (3 - 10) = - 2 / 7
(4 - y) / (- 7) = - 2 / 7
4 - y = - 2
y = 6
Case 15
(4 - 1) / (x - 7) = 3 / 4
3 / (x - 7) = 3 / 4
x - 7 = 4
x = 11
To learn more on slopes: https://brainly.com/question/16941905
#SPJ1
Which system of inequalities is graphed below?
Answers
System of inequalities are :
y> [tex]x^{2} -4[/tex] and y > [tex]x^{2} +3[/tex]
What is inequality ?Inequality, A mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal toThe occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.To learn more about : Inequalities
Ref : https://brainly.com/question/11613554
#SPJ13
Point C(6,-2)is dilated from the origin by scale factor r =3/4.what are the coordinates of point c
Answers
the coordinates of point c is (9/2, -3/2)
Explanation:The original coordinate = C(6, -2)
scale factor r =3/4
New coordinate (c) = scale factor × the original coordinate
c = 3/4(6, -2)
c = (3/4×6, -2×3/4)
c = (18/4, -6/4)
c = (9/2, -3/2)
Hence, the coordinates of point c is (9/2, -3/2)
Which of the following statements is the best description of a survey?
A survey is a list of questions used to acquire customer feedback.
A survey is a study that collects data on every subject in sample.
A survey always collects categorical data.
A survey is a kind of convenience sample.
Answers
Answer:
I believe it's " a study that collects data on every subject in sample"
One-Step Inequalities MC) Solve k over negative 3.7 is less than or equal to negative 2.2 for k. k ≥ 8.14 k ≤ −8.14 k ≥ −5.9 k ≤ −5.9
Answers
Answer: k>8.14
Step-by-step explanation: just do math.
A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled
a. What is the probability of getting an even number?
b. What is the probability of getting a factor of 6?
Answers
The probability of getting an even number is 1/2 while the probability of getting a factor of 6 is 1/6
How to determine the probabilities?The probability of an even number
From the question, the sample space of the number cube is given as
Space = 1, 2, 3, 4, 5, and 6
The above means that
Sample size, n = 6 ---- i.e. the number of observations
Number of even numbers, x = 3
The probability of getting an even number is then calculated as
P(Even) = Number of even numbers/Sample size
This gives
P(Even) = 3/6 = 1/2
The probability of a factor of 6
From the question, the sample space of the number cube is given as
Space = 1, 2, 3, 4, 5, and 6
The above means that
Sample size, n = 6 ---- i.e. the number of observations
Number of factor of 6, x = 1
The probability of getting a factor of 6 is then calculated as
P(factor) = Number of factor of 6/Sample size
This gives
P(factor) = 1/6
Hence, the probability is 1/2 and 1/6
Read more about probability at
https://brainly.com/question/14888629
#SPJ1
Suppose James has a credit card with a balance of $4289. Each month, the credit card company charges 5% interest. James pays off all new purchases that he makes each month without paying off the old balance or its interest. He wants to know what the balance on his credit card will be one year from now. Is this situation an example of exponential growth or exponential decay?
Answers
The balance on his credit card will be the amount of $4076.56 one year from now.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
First, we must compute James' monthly charges on his balance of 4289.
Principal = 4289
Rate = 5%
Time = 1 month = 1/12 year
Simple interest = 4289×5×1/12×100 = 17.87
The monthly charge is 17.87,
So the yearly charge would be: 12 × 17.87 = $214.44
His credit card balance one year from now = Principal - Interest
⇒ 4289 - 214.44
⇒ 4076.56
In one year, his credit card amount will be 4076.56.
Learn more about exponential growth and decay here:
brainly.com/question/2193820
#SPJ1
I need help with this for my class
Answers
but I believe that they relations are not functions because the line hits the graph at one or more spots.
Eight workers are hired to weed a field by
hand. Each is given a plot which is 9×7
meters in size. What is the total area of
the field?
Answers
Step-by-step explanation:
1.work out area of a single plot
[tex]area = 9 \times 7[/tex]
[tex]area = 63m ^{2} [/tex]
2.multiply the area by the amount of workers
[tex]total \: area = 63 \times 3[/tex]
[tex]total \: area \: = 189m ^{2} [/tex]
Write an equation for a parabola that passes through the point (2,2) and has a vertex of (3,1)
Answers
The equation of the parabola will be;
y = (x - 3)² + 1
What is mean by Parabola?
A parabola is a set of points in the plane which are equidistant from the directrix and focus.
Given that;
The vertex of the parabola = (3 , 1)
A parabola passes through the point (2,2).
Now,
Since, The equation of parabola in vertex form is;
y = a (x - h)² + k
Where, (h , k) are vertex of the parabola.
So, The equation of parabola with vertex (3, 1) will be;
y = a (x - 3)² + 1
And, It passes through the point (2,2).
So we substitute the value of (2, 2) in place of (x, y) as;
2 = a (2 - 3)² + 1
2 = a + 1
a = 2 - 1
a = 1
Substitute the value of a in above equation, we get;
The equation of parabola as;
y = (x - 3)² + 1
Therefore, The equation of the parabola will be;
y = (x - 3)² + 1
Learn more about the parabola visit:
https://brainly.com/question/27703830
#SPJ1
the question is in the photo! :)
Answers
Answer:
2
Step-by-step explanation:
So to get the answer we need to figure out what x is
2×2=4
so x has to be 2
PLS TELL ME ASAPPPPP
Answers
PLEASE PLEASE HELP!!!
Answers
If you are trying to find x, you would want to do tangent of 26 (trigonometry). You would get 26tan17 which equals roughly 90.84. Hope this helps.
3x-(2x+10) for x= 7 5/13
Answers
The result of the expression 3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61
The expression is
3x-(2x+10)
The expression is the mathematical sentence with a minimum of two variables and at least one math operation.
The value of the x = [tex]7\frac{5}{13}[/tex]
Convert the mixed fraction to the simple fraction
[tex]7\frac{5}{13}[/tex] = 96/13
Convert the simple fraction to the decimal form
96/13 = 7.39
Substitute the value of x in the given expression 3x - (2x + 10)
= 3 × 7.39 - (2×7.39 + 10)
Multiply the terms first
= 22.17 - (14.78 + 10)
= 22.17 - (24.78)
= -2.61
Hence, the result of the expression 3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61
Learn more about expression here
brainly.com/question/1519167
#SPJ1
Vab if a = √8 and b = 2√√/2
Answers
Answer:
I will assume that 2√√/2 is actually 2[tex]\sqrt{2}[/tex]
Vab = 8
Step-by-step explanation:
ab
([tex]\sqrt{8}[/tex])*( 2[tex]\sqrt{2}[/tex])
2*[tex]\sqrt{16}[/tex]
2*4
Vab = 8
If a car is traveling at 65 miles per hour, then
how far does it travel in 2 hours?
Answers
Answer:
130 miles
Step-by-step explanation:
65×2=130 So if I am driving at a rate of 65 mph then in one hour I drive 65 miles. Since it is in 2 hours I will have driven 130 miles.
Answer:
130 miles.
Step-by-step explanation:
so it said that the car is traveling 65 miles per hour and it wants to know how far it would go in 2 hours. so if 1 hour is 65 miles if we multiply it by two then we will get
65 miles = 1 hour
130 miles = 2 hours
the brain volumes () of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of , assuming the estimate is accurate if it is within 15
Answers
The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.
Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.
The calculation goes like this,
According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:
[tex]s=R/4[/tex]
If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:
[tex]s=max-min/4[/tex]
s=1492-910/4=582/4=145.5
The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.
The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:
Min= M-2s=1169.3-2*124.1=921.1
Max=M+2s=1169.3+2*124.1=1417.5
The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.
To know about standard deviation click here :
https://brainly.com/question/23907081
#SPJ4
Examine graphs A and B. What do you notice about the difference between the Y axis for the good graph A and the Poot graph B? How is a break shown on the Y axis of graph A
Answers
Answer:
The well-desgined graph has an appropriate scale for the y-axis. By appropriate we mean that the scale is such that all points on the graph can be discerned easily. In other words, the scale is not too wide or too narrow.
For graph A, the scale is such that the data points are at such a distance from each other that their values can be easily read off. On the other hand, for graph B, there isn't enough vertical distance between the data points for them to be easily read.
Steven earns extra money babysitting. He charges $33.75 for 5 hours and $47.25 for 7 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits a
y represent the amount he charges.
The equation is y =
Answers
Answer:
y = 6.75x
Step-by-step explanation:
$33.75 ÷ 5 = $6.75
$47.25 ÷ 7 = $6.75
So we have y = 6.75x.
A train of length 150 metres entered a straight tunnel of length s metres. It took the entire crossing of the tunnel in a time of 15 seconds. Find the length of the tunnel if the train moves with uniform velocity equals 90 km./hr
Answers
The tunnel measures 225 meters in length.
Uniform velocity: What is it?
Velocity is the measure of how quickly an object's position changes over time and in relation to a frame of reference. A body moves across space with uniform velocity when it does so with an equal displacement per unit of time.
Velocity is equal to the product of distance and time.
It measures in m/s.
In response to the query, we are provided with the-
150m is the length of the train.
s m is the tunnel's length.
90 km/hr is the train's speed.
= 90 × 5/18 m/sec
= 25m/sec
Total distance equals (train length plus tunnel length).
[tex]Speed = \frac{Distance}{Time}[/tex]
⇒ 25 = (150 + s) / 15
⇒ 25 × 15 = 150 +s
⇒ 375 = 150 + s
⇒ 375 - 150 = s
⇒ s = 225
⇒ s = 225m
Hence, the length of the tunnel is 225 m.
Learn more about velocity here;
https://brainly.com/question/80295
#SPJ10
45 is divisible by which of the following numbers? (1 point) 1, 5, 8 1, 2, 3 1, 2, 5 1, 3, 5, 9
Answers
Answer:
1,3,9,5
Step-by-step explanation:
Answer:
9, 5, 1, 3
Step-by-step explanation:
i forgot my vocabulary
But i still know decent engrish
True or False
Corresponding angles must be proportional.
O True
O False
Answers
Answer:
True
Step-by-step explanation:
Matching sides of two or more polygons are titled corresponding sides,and matching angles are titled corresponding angles . If two figures are lookalike,then the measures of the corresponding angles are similar and the ratios of the lengths of the corresponding sides are proportional .
Please simplify these equations
Answers
Answer:
a) 81
b) 16807
c) 1010000000
d) 390630
These are all correct. I checked.