Answer:
\( \dfrac{16 y^{22}}{x^{10}z^{10}} \)
Step-by-step explanation:
Given expression is ,
\(\sf\longrightarrow \bigg(\dfrac{2x^3y^{-5}z^8}{8x^{-2}y^6z^3}\bigg)^{-2} \)
This would be simplified using the law of exponents , some of which I will use here are ,
\( (an)^m = a^m n^m \)\( \dfrac{a^m}{a^n}=a^{m-n}\)\( a^m a^n = a^{m+n}\)\( a^{-n} = \dfrac{1}{a^n}\)Using the above laws ,
\(\sf \longrightarrow \bigg[ \dfrac{2}{8} \bigg(\dfrac{x^3}{x^{-2}}\bigg)\bigg(\dfrac{y^{-5}}{y^6}\bigg)\bigg(\dfrac{z^8}{z^3}\bigg) \bigg]^{-2}\)
Using the second law mentioned above , we have,
\(\sf \longrightarrow \bigg[ \dfrac{1}{4}(x^{3+2})(y^{-5-6})(z^{8-3})\bigg]^{-2} \)
Simplify ,
\(\sf \longrightarrow \bigg[\dfrac{1}{4} x^5y^{-11}z^5\bigg]^{-2} \)
Using the first law mentioned above , we have,
\(\sf \longrightarrow \bigg[ \dfrac{1}{4^{-2}} x^{5(-2)} y^{-11(-2)} z^{5(-2)}\bigg] \)
Simplify,
\(\sf \longrightarrow 4^2x^{-10}y^{22} z^{-10}\)
Finally using the fourth law mentioned above , we have ,
\(\sf \longrightarrow \boxed{\bf \dfrac{16 y^{22}}{x^{10}z^{10}}} \)
Option K is the correct answer.Sharonda is plotting quadrilateral PQRS on the graph below She
will plot the fourth and final vertex, S, at (9, 5) What will be the length of side PS
Answer:
7 :)
Step-by-step explanation:
Sharonda is plotting quadrilateral PQRS on the graph below She will plot the fourth and final vertex, S, at (9, 5), the length of side PS will be 11 units.
What is quadrilateral?A quadrilateral is a four-sided polygon. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are several types of quadrilaterals, including: Square, rectangle, parallelogram, rhombus, trapezoid, and kite.
Length of side PS can be calculated using the distance formula,
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Where,
P(-2, 5) = (\(x_1,y_1\)) (the coordinate of P is gotten from the graph).
Given that,
S(9, 5) = (\(x_2,y_2\))
PS = \(\sqrt{(9-(-2))^2+(5-5)^2}\)
PS = \(\sqrt{11^2+0^2}\)
PS = \(\sqrt{121}\)
PS = 11units.
Thus, the answer is 11 units.
For more details regarding quadrilateral, visit:
https://brainly.com/question/29934440
#SPJ3
What does spillage refer to Cyber Awareness Challenge 2022?
The spillage refer to Cyber Awareness Challenge 2022 is explained below.
The Cyber Awareness Challenge 2022 is an important event that focuses on raising awareness about the dangers and risks associated with the use of technology and the internet.
In this context, spillage refers to the accidental or unintentional release of sensitive information. This can be caused by a variety of factors, including human error, technical glitches, and malicious attacks.
In addition, the challenge will explore the consequences of spillage, such as identity theft, financial loss, and reputational damage. This is why it is so important to take the challenge seriously and to understand the importance of cyber awareness and security.
By participating in the Cyber Awareness Challenge 2022, students will gain valuable skills and knowledge that will help them protect themselves and their information in the digital world
To know more about loss and gain here.
https://brainly.com/question/19709576
#SPJ4
a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?
Answer:
don't know
Step-by-step explanation:
Please help me on this problem
Answer:
The answer would be 20 mi
Step-by-step explanation:
a^2+b^2=c^2
a^2=144
b^2=256
C^2=400
Then you find the square root of ABC to find that C is 20
How do you convert raw score to LSAT?
Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.
Here's a general overview of the process of converting a raw score to a scaled LSAT score:
- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.
- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.
- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.
It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.
Step-by-step explanation:
$23.96 for 4 pounds of salamI, round to the nearest tenth. What is the answer?
Answer:
20
Step-by-step explanation:
if you are given 25 that rtn 10 would be 30 but you have given me a number lover than that so that would be 20
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
https://brainly.com/question/26894404
#SPJ11
Are my answers correct? Will give points if not correct can you solve please
The area of the smaller sector or minor sector is 125.66 yd².
The area of the larger sector or major sector is 326.73 yd².
What are the areas of the sector?The areas of the minor and major sectors is calculated by applying the following formulas follow;
Area of sector is given as;
A = (θ/360) x πr²
where;
r is the radius of the sectorθ is the angle of the sectorThe area of the smaller sector or minor sector is calculated as follows;
A = ( 100 / 360 ) x π ( 12 yd)²
A = 125.66 yd²
The area of the larger sector or major sector is calculated as follows;
θ = 360 - 100
θ = 260⁰
A = ( 260 / 360 ) x π ( 12 yd)²
A = 326.73 yd²
Learn more about area of sector here: https://brainly.com/question/30607726
#SPJ1
Work out:
(1.2 × 10′²) × (2 × 10ª)/3 x 10-5
Give your answer in standard
form.
The standard form of the expression is \(0.000286 \times 10^a\).
What is a standard form?
A standard form is a document that contains predetermined information in a specific format, such as a contract or agreement. Standard forms are often used to ensure uniformity and efficiency among different parties. Standard forms may include a variety of information, including contact details, payment information, and other important details related to a transaction. By utilizing a standard form, individuals and organizations are able to save time and effort when completing administrative tasks. Standard forms can also be used to ensure that all parties involved in a transaction are aware of the terms and conditions.
The given expression is
\(=(1.2 \times 10^2) \times \frac{(2 \times 10^a)}{3} \times 10^{-5}\\\\=129 \times\frac{2}{3}\times\frac{10^a}{3}\times0.00001\\\\=0.000286 \times 10^a\)
Hence, the standard form of the expression is \(0.000286 \times 10^a\).
To learn more about the standard form, visit:
https://brainly.com/question/19169731
#SPJ1
What degree would be classified as an obtuse angle but is close to being a straight line
120
171
100
110
Answer: 171
Step-by-step explanation:
An obtuse angle means more than 90 degrees. (90 degrees would be the inside corner of your notebook paper) a straight line would be 180 degrees. 171 is the closest to 180
anlatarak cozmicekseniz cevaplamayin:)
Direction: Use your scientific calculators to find the measure of angle 0, to the nearest minute.
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
All the measure of angle θ, to the nearest minute are,
⇒ tan 35° = 0.70
⇒ sin 60° = 0.87
⇒ cos 25° = 0.91
⇒ tan 75° = 3.73
⇒ cos 45° = 0.71
⇒ sin 20° = 0.34
⇒ tan 80° = 5.67
⇒ cos 40° = 0.77
We have to simplify all the measure of angle θ, to the nearest minute as,
1) tan 35 degree
⇒ tan 35° = 0.70
2) sin 60 degree
⇒ sin 60° = √3/2 = 0.87
3) cos 25 degree
⇒ cos 25° = 0.91
4) tan 75 degree
⇒ tan 75° = 3.73
5) cos 45 degree
⇒ cos 45° = 1/√2 = 0.71
6) sin 20 degree
⇒ sin 20° = 0.34
7) tan 80 degree
⇒ tan 80° = 5.67
8) cos 40 degree
⇒ cos 40° = 0.77
Learn more about trigonometric ratios at:
brainly.com/question/1836193
#SPJ1
Choosing only among rectangle,rhoumbos,square, name all parallelograms that have the following property
Among rectangles, rhombuses, and squares, all three of these shapes are parallelograms that have specific properties.
A rectangle is a parallelogram with four right angles. Its opposite sides are equal and parallel, and it has diagonals that are equal in length and bisect each other.
A rhombus, on the other hand, is a parallelogram with all four sides being equal in length. Like a rectangle, its opposite sides are parallel, but it does not necessarily have right angles. The diagonals of a rhombus are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and divide each other into two equal parts.
Finally, a square is a special type of parallelogram that combines the properties of both rectangles and rhombuses. It has four equal sides and four right angles, making it a unique shape. The diagonals of a square are equal in length, bisect each other, and are also perpendicular bisectors.
In conclusion, rectangles, rhombuses, and squares are all parallelograms with distinct properties. Rectangles have right angles and equal opposite sides, rhombuses have equal sides and diagonals that are perpendicular bisectors, and squares possess all the properties of both rectangles and rhombuses.
To know more about parallelograms, refer to the link below:
https://brainly.com/question/22598125#
#SPJ11
Given that the polynomial function has the Given zero, find the other zeros. f(x)=x^3-2x^2-11x+52; -4
ANSWER
The other two zeros are
• 3 + 2i
,• 3 - 2i
EXPLANATION
If the zeros of a polynomial are x1, x2, x3... the polinomial function can be written in a factored form,
\(P(x)=(x-x_1)(x-x_2)(x-x_3)\ldots\)Hence, if we know that one of the zeros of f(x) is -4, that means that (x + 4) is a factor. Thus, we can divide the polynomial by that factor,
So f(x) is,
\(f(x)=(x+4)(x^2-6x+13)\)To find the other two zeros now we just have to find the zeros of the second factor (x² - 6x + 13), which is much easier because we can simply use the quadratic formula,
\(\begin{gathered} ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)In this case a = 1, b = -6 and c = 13,
\(x=\frac{6\pm\sqrt[]{6^2-4\cdot1\cdot13}}{2\cdot1}\)\(x=\frac{6\pm\sqrt[]{36-52}}{2}\)\(x=\frac{6\pm\sqrt[]{-16}}{2}\)Note that the number under the radical is negative. Therefore the other two zeros are not real - in other words, in the real numbers set this function has only one zero: -4.
In the complex number set we know that i² = -1, so we can replace the minus sign under the radical by i²,
\(x=\frac{6\pm\sqrt[]{16i^2}}{2}\)And solve the square root,
\(x=\frac{6\pm4i}{2}\)We can distribute the denominator into the sum/subtraction,
\(x=\frac{6}{2}\pm\frac{4i}{2}\)And we get that the other two zeros are,
\(\begin{gathered} x_2=3+2i \\ x_3=3-2i \end{gathered}\)This agrees with the complex conjugate root theorem, which states that
write the percent 144 as a decimal
PLEASE HELP ME IM STRUGGLING SO HARD I BEG OF YOU I WILL NAME MY CHILDREN AFTER YOU!!!!!!!
Answer:
Cost of one uniform = $48
Step-by-step explanation:
Since there are 12 players and each basketball costs $15,
12 × 15 = $180
Now we know the amount for basketballs, we can find the total cost of uniforms,
$756 - $180 = $576
Cost of uniform per person,
576/12 = $48
which of the following phrases indicate the algebraic expression 10 + x? select all that apply.
A. 10 increased by a number
B. 10 plus a number
C. 10 less then a number
D. A number more then 10
E. A number taken away from 10
Answer: b
Step-by-step explanation: it is 10 and you are adding a unknown variableI'm not sure how to do this and im super confused
Answer: The m<A = 55
Step-by-step explanation:
1. We know that m<A is likely congruent to m<B (know that m< means measure of angle) {Also noting congruent means same}
2. With that, we can tell that the given info is telling us that 124 is the total degree for m<D.
3. So, this tells us that 2x + x + 41.5 = 124 is the formula we will use.
3a. 3x + 41.5 = 124 (Simplify)
3b. 3x = 82.5 (Combine like Terms)
3c. x = 27.5 (Divide)
4. Now we know what x is, so finding m<A is easy, 2(27.5) equals to 55, meaning m<A is 55. For m<B, 27.5 + 41.5 equals to 69. To make sure 55 + 69 equals to 124
5. So:
m<A = 55
m<B = 69
m<D = 124
The vertices of a triangle are located at (-4, 1). (0, -2) and (3, 2). Select the correct option from the drop-down to complete the sentence.
The triangle is
Answer:
Isosceles Right Triangle.
Step-by-step explanation:
Let the points be A, B and C where A = (-4, 1), B = (0, -2) and C = (3, 2)
Slope of AB = (-2-1)/(0- -4) = -3/4
and its length = √(-2-1)^2 + (0- -4)^2 = √25 = √5.
Slope of BC = (2 - -2)/(3 - 0) = 4/3
and its length = √(2 - -2)^2 + (3)^2 = √25 = √5
Slope of AC = ((2-1)/3- -4) = 1/7
and its length = √((4--4)^2 + (2-1)^2 = √17
The product of the slopes of AB and BC = -3/4 * 4/3 = -1 so
m < ABC = 90 degrees.
Also, the sides AB and BC are equal in length
So. the Triangle is an isosceles right triangle.
help me pleaseeeeeeeee
Answer:
Alternative A
Step-by-step explanation:
Translation using a vector mens that the first number is the translation of the x-coordinate and the second it the translation of the y-coordinate.
So, translation by vector (-3 4) means substracting 3 units from the x-coordinate and adding 4 units to the y-coordinate, so:
P'=(2-3,-3+4)=(-1,1)
Which corresponds to alternative A.
8 cm
15 cm
4cm
30 cm
What's the question?????
i really need your help on this
Answer:
That is an improper fraction
Step-by-step explanation:
When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper
Hope this helps!
Answer:
Improper fraction
Step-by-step explanation:
1. Solve the system of linear equations
below by graphing. Check your answer.
x+y=8
x-y=2
Answer:
point form:
(5,3)
Equation:
5,y=3
Step-by-step explanation:
Subtract y both sides of the equation
x=8−y
x−y=2
Replace all occurrences of x with 8−y in each equation
8−2y=2
x=8−y
Solve for y in the first equation
y=3x
x=8−y
Replace all occurrences of y with 3 in each equation.
x=5
y=3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(5,3)
The result can be shown in multiple forms.
Point Form: (5,3)
Equation Form:
x=5,y=3
Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$
Supposing the value of x to be an integer, the values of k that donot
satisfy the given equation 3x = k mod 6 are 1,2,4,5.
What is an integer?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
What is the difference between integers and whole numbers?Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.
If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.
To learn more about solving equations visit:
https://brainly.com/question/29657983?
#SPJ4
2. (6 points) The body mass index (BMI) of a person is defined as
I
=
W H2'
where W is the body weight in kilograms and H is the body height in meters. Suppose that a boy weighs 34 kg whose height is 1.3 m. Use a linear approximation to estimate the boy's BMI if (W, H) changes to (36, 1.32).
By using the linear approximation, the boy's estimated BMI when his weight changes to 36 kg and his height changes to 1.32 m is approximately 17.189.
To estimate the boy's BMI using a linear approximation, we first need to find the linear approximation function for the BMI equation.
The BMI equation is given by:
I = \(W / H^2\)
Let's define the variables:
I1 = Initial BMI
W1 = Initial weight (34 kg)
H1 = Initial height (1.3 m)
We want to estimate the BMI when the weight and height change to:
W2 = New weight (36 kg)
H2 = New height (1.32 m)
To find the linear approximation, we can use the first-order Taylor expansion. The linear approximation function for BMI is given by:
I ≈ I1 + ∇I • ΔV
where ∇I is the gradient of the BMI function with respect to W and H, and ΔV is the change in variables (W2 - W1, H2 - H1).
Taking the partial derivatives of I with respect to W and H, we have:
∂I/∂W = 1/\(H^2\)
∂I/∂H = -\(2W/H^3\)
Evaluating these partial derivatives at (W1, H1), we have:
∂I/∂W = 1/\((1.3^2)\) = 0.5917
∂I/∂H = -2(34)/(\(1.3^3\)) = -40.7177
Now, we can calculate the change in variables:
ΔW = W2 - W1 = 36 - 34 = 2
ΔH = H2 - H1 = 1.32 - 1.3 = 0.02
Substituting these values into the linear approximation equation, we have:
I ≈ I1 + ∇I • ΔV
≈ I1 + (0.5917)(2) + (-40.7177)(0.02)
≈ I1 + 1.1834 - 0.8144
≈ I1 + 0.369
Given that the initial BMI (I1) is\(W1/H1^2\)=\(34/(1.3^2)\)≈ 16.82, we can estimate the new BMI as:
I ≈ 16.82 + 0.369
≈ 17.189
For more such information on: BMI
https://brainly.com/question/2064513
#SPJ8
A production line operation is tested for filling weight
accuracy using the following hypotheses.
Hypothesis
Conclusion and Action
H0: = 16
Filling okay;
keep running.
Ha: ≠ 16
A production line operation can be tested for filling weight accuracy using the following hypotheses:HypothesisH0: µ = 16Ha: µ ≠ 16Conclusion and Action.
In order to test the hypothesis for filling weight accuracy, the following steps must be followed :
Step 1: Set the level of significance and formulate the null and alternative hypothesesH0: µ = 16 (Null Hypothesis)Ha: µ ≠ 16 (Alternative Hypothesis)
Step 2: Select the sample size, collect the sample data, and compute the test statistic For this particular hypothesis testing problem, we will assume a t-test for a single population mean with an unknown population standard deviation.
Step 3: Determine the p-valueThe p-value is the probability of observing a test statistic as extreme as the one computed, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
To know more about hypotheses visit:
https://brainly.com/question/28331914
#SPJ11
What is the measure of an angle that is the complement of angle M?
A.
10°
B.
60°
C.
90°
D.
None of the above
E.
45°
Answer:
the measure of an angle that is the complement of angle M=90-75=15
non of the above
what is the proportional relationship between x 2 6 8 10 and y 6 18 24 30
The proportional relationship is y = 3x.
What is the proportional relationship?
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
Here, we have
Given:
x: 2, 6, 8, 10
y: 6, 18, 24, 30
We have to find the proportional relationship between x and y.
So, we can see from inspection and visual observation that there is a proportional relationship between x and y.
6 = 3 2, 18 = 3 6, 24 = 3 8, 30 = 3 10.
Hence, The proportional relationship is y = 3x.
To learn more about the proportional relationship from the given link
https://brainly.com/question/2143065
#SPJ1
HELP HELP HELP PLS
What is the common denominator between 5/7 and 2/6?
What should the renamed numerators be? (Just type the numerator, not the entire fraction).
Answer:
21 is common denominator.
15 and 7 are the corresponding numberators.
Step-by-step explanation:
You multiply the 7 and 6, then apply to the fractions, and slowly reduce until you find a good match.
Answer:
30 and 14
Step-by-step explanation:
5/7 = times by 6 to get 30/42
2/6 = times by 7 to get 14/42
Need help asap please!!!
Answer:
Bottom Right = (2 x 10^-3) x (4 x 10^4) = 8 x 10^1
Step-by-step explanation: