Answers
Using laws of indices, we can easily find the values of expressions below.
Laws of IndicesTo solve this given problem, we have to apply different laws of indices.
12.
\((x^4 * x^-8)^3 = x^-^1^2=\frac{1}{x^1^2}\)
13.
\((a^5b^2)^-^3* (a^-^2)^-^3 = \frac{1}{a^9b^6}\)
14.
\(\frac{(m^-^3n^-^4)^8}{(m^2n^5)^-^7}=\frac{n^3}{m^1^0}\)
15.
\(\frac{(p^-^2^0^0q^1^7^0)^-^3^0}{(p^4^0q^5^0)^9^0} =\frac{p^2^4^0^0}{q^9^6^0^0}\)
16.
\(\frac{[(x^2y^8)^-^1]^3*(y^-^1^2)^6}{(x^-4y^5)^2*x^6(y^-^1)^3}=\frac{1}{x^4y^1^0^3}\)
17.
\(\frac{(2m^-^7n^8)^6}{4m^9n^-^5)^-^3}*\frac{(8m^-5n)^6}{(2mn^3)^-5} = \frac{134217728n^7^4}{m^7^6}\)
From the above calculation, we can solve the respective given expression using indices.
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Related Questions
\(4000 - 1999\)
can anyone
solve this please?
Answers
——————————
Type the correct answer in the box. use numerals instead of words. what is the solution of this equation?
Answers
The resultant answer of the given equation [-1/2n² + 18 = 0] is n = 6.
What do we mean by equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.So, -1/2n² + 18 = 0:
Solve for 'n' as follows:
-1/2n² + 18 = 0-1/2n² = -18-n² = -36n = √36n = 6Therefore, the resultant answer of the given equation [-1/2n² + 18 = 0] is n = 6.
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The complete question is given below:
Type the correct answer in the box. use numerals instead of words. what is the solution to this equation?
James has 14{,}500\text { g}14,500 g14, comma, 500, start text, space, g, end text of sand in his sandbox. he brings home another 7{,}400\text { g}7,400 g7, comma, 400, start text, space, g, end text of sand from the beach to add to his sandbox. how many kilograms of sand does james have in his sandbox now?
Answers
James has a total of 21.9 kilograms of sand in his sandbox after adding the sand from the beach. To find the total weight of sand in James' sandbox, we need to convert the given weights from grams to kilograms.
James initially has 14,500 g of sand. To convert this to kilograms, we divide by 1000:
14,500 g ÷ 1000 = 14.5 kg
Next, James brings home an additional 7,400 g of sand from the beach. To convert this to kilograms, we divide by 1000:
7,400 g ÷ 1000 = 7.4 kg
To find the total weight of sand in James' sandbox, we add the initial amount of sand to the amount he brought from the beach:
14.5 kg + 7.4 kg = 21.9 kg
Therefore, James now has 21.9 kilograms of sand in his sandbox.
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if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
Answers
GIVING BRAINLIEST :D
Answers
Answer:
(5,6)
The x axis is 5 and the y axis is 6.
I really hope this will help you. Good luck! Have a great day!!!! :)
A quarter horse often excels at running races of 1/4 mile or less .how many feet is that
Answers
Answer:
1320ft
Step-by-step explanation:
1 mile is equal to 5280 feet, divide 5280/4
this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races
The population of a country was 993,000 in 2018 with an annual growth rate of 8%.
Answers
(X is number of years after 2018)
Population in 2038 will be 4,628,330
Hope this helps! Mark branliest
$20 is what percent of $40?
Please help ples
Answers
Answer:
50%
Step-by-step explanation:
50%
$20=50%
$20 x 2= $40
the area of one lateral face of a right pyramid with an equilateral triangular base is 75 square meters. if the slant height is 30 meters, what is the length of the side of its base, in meters?
Answers
A right pyramid with an equilateral triangular base has a lateral face with a surface area of 75 square meters. The side of the base of a slant with a height of 30 meters is 5 meters long.
Let’s call the side length of the equilateral triangular base “s”. We know that the area of one lateral face is 75 square meters, and that face is a triangle with base s and height 30 meters (the slant height). We can use the formula for the area of a triangle to solve for s:
Area = (1/2) * base * height
75 = (1/2) * s * 30
Simplifying the equation, we get:
75 = 15s
s = 75/15
s = 5
Therefore, the length of the side of the equilateral triangular base is 5 meters.
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5x2-5x+1 - (2x2+9x-6)
Answers
Answer:
3x^2−14x+7
Step-by-step explanation:
A plane is descending into an airport. When its altitude is 3 1/2 miles, it is 250 miles from the airport. When its altitude is 1 mile, it is 75 miles from the airport. At 2 1/2 miles, it is 175 miles from the airport. Problem 6 a. If the pilot follows the same pattern, what will the plane's altitude be at 25 miles from the airport? *
Answers
Answer: 1/2 miles
Step-by-step explanation:
Given the following:
Altitude (miles) - - - - - - - - - - distance (miles)
3 1/2 - - - - - - - - - - - - - - - - - - - 250
2 1/2 - - - - - - - - - - - - - - - - - - - - 175
Calculate the plane's altitude at 25miles from the airport
7/2 = 250
5/2 = 175
(7/2 - 5/2) miles = (250 - 175)miles
1 mile = 75 miles
From the above, the plane craft 's altitude reduces by 1 mile for every 75 miles moved
Therefore, at a distance of 25 mile from the airport,
Distance moved = (250 - 25)miles = 225miles
225miles / 75 miles = 3
Therefore, the altitude will reduce by 3 miles from the initial altitude at 250 miles
Therefore,
( 3 1/2 - 3) miles = 1/2 miles
Therefore, the plane craft will have an altitude of 1/2
please solve will give brainiest
Answers
Step-by-step explanation:
BODMAS
155.5-5.5*20.7
155.5-113.85
=41.65
Answer:
41.65
Step-by-step explanation:
155.5-(5.5*20.7) order of operation
155.5-113.85=
41.65
Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?
Answers
75% of the beads are green in color.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Chase ordered a set of beads
He received 4,000 beads in all.
3,000 of the beads were green.
We need to find the percentage of the beads were green of 4000.
x/100×4000=3000
40x=3000
Divide both sides by 40
x=75%
Hence, 75% of the beads are green in color.
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Select the statement that makes this comparison correct: 0.45 ________ 0.39.
0.39 > 0.45
0.45 > 0.39
0.45 < 0.39
0.39 = 0.45
Answers
Answer:
That would be B.) 0.45 > 0.39
Step-by-step explanation:
You must look at the tenths! I hope I helped ^-^
.39 .45
What is the value for y in the following expression
when x
14
y = 2x + 5
Answers
See attachment for math work and answer.
When a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered Feasible O Semi-feasible Infeasible O Unbounded 1 points Save Answer By reviewing and evaluating up Solution, we have a. taken the final step in the Decision-Making proces
b. taken the first step in the Decision Making proces c. considered multiple criterias to evaluate the alterr
d. proposed all possible alternatives for the problem
Answers
Option C. When a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered Feasible.
In linear programming, a feasible solution is a solution that satisfies all of the constraints in the problem, including the nonnegativity conditions. In other words, a feasible solution is a solution that is possible and meets all of the requirements of the problem.
On the other hand, an infeasible solution is a solution that violates one or more of the constraints or the nonnegativity conditions. An unbounded solution is a solution where the objective function can be increased or decreased indefinitely, without violating any of the constraints.
Therefore, when a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered feasible.
Option A, B, C, and D are not directly related to the concept of feasibility in linear programming.
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When a solution to the linear programming problem satisfies all the constraints, including the nonnegativity conditions, it is considered Feasible O Semi-feasible Infeasible O Unbounded 1 points Save Answer By reviewing and evaluating up Solution, we have
A. taken the final step in the Decision-Making process
B. taken the first step in the Decision Making process
C. considered multiple criterias to evaluate the alter
D. proposed all possible alternatives for the problem
if 5y - 8 < 12, what is the maximum possible value of 10y ?
Answers
Answer: The maximum possible value of y is 30 ;)
Hello! I have a project where I invite 5 people to a “dinner party” to school. I want to invite a girl named Jaci Butler. Jaci Butler is her own agent in the singing industry. I found her address and want to send her a mail inviting her to the party. The party is at school. Does this count as stalking? If you were Jaci butler, what would you think I’m a stalker? If you were her, would you come?
REMEMBER: IM NOT INVITING HER TO MY HOUSE. IM INVITING HER TO MY SCHOOL
Answers
Answer:
no not at all it's just being helpful and kind and I would come
A cyclist rides his bike at a speed of 27 miles per hour what is the speed in miles per minute? How many miles will the cyclist travel in 2 minutes ? Do not round answer
Answers
Answer:
The cyclist can travel 0.9 miles in 2 minutes.
Step-by-step explanation:
1 hour = 60 minutes
Set up a conversion equation:
27 mi/1 hr × 1hr/60 mins
It is easier to see when writing it on paper, but the fractions are set up in a way to cancel the units out until the only units left are miles and minutes
After multiplying the numerators together and then multiplying the denominators together, you should reach the answer:
27 mi/60 mins
The cyclist can travel 27 miles in 60 minutes, but how many miles can he travel in 2 minutes?
Set up an equation:
Variable x = number of miles
27 mi/60 mins = x/2 mins
Cross multiply
27 × 2 = 60 × x
54 = 60x
Divide both sides by 60
0.9 = x
pls do with the working
Answers
Answer:
2) 70,000
Step-by-step explanation:
since they have said estimate meaning frist round off
679 rounds up to 700 and 98 rounds up to 100
700×100
70000
Brock rides his bike 2218 miles to the nature preserve. On his way home, after 1615 miles, he stops at a deli for lunch. How far is Brock from home?
Answers
Answer:
He is 603 miles away from home.
Step-by-step explanation:
To find the answer you subtract 1,615 from 2,218 and you'll get 603 miles.
the difference between six times a number and the number is 105
Answers
Answer:
6n-n=105..............
In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
Answers
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
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Find the value of x in the equation below. 5.4=2x
Answers
Answer:
x = 2.7
Step-by-step explanation:
5.4 = 2x
2x = 5.4
Divide both sides by 2.
x = 2.7
Answer: x= 2.7
1. Divide 2 on both sides
2. cancel terms who have the same numerator and denominator
An expression is shown below. Which expression is equivalent to the expression shown?
- 2x(x + y - 3) + 3(-x + 4y) + y(3x + 5y - 3)
- 2x2(5y2 + xy + 3x + 9y
- 2x2 + 5y2 + xy - 6x +9y
- 5x2 + 5y2 + xy + 3x + 9y
- 5x2 + 5y2 + xy - 6x + 9y
Answers
Note: In option A, it should be "+" instead of "(".
Given:
The expression is
\(-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)\)
To find:
The equivalent expression.
Solution:
We have,
\(-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)\)
Using distributive property, we get
\(=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)\)
\(=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y\)
On combining like terms, we get
\(=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)\)
\(=-2x^2+5y^2+xy+3x+9y\)
The expression \(-2x^2+5y^2+xy+3x+9y\) is equivalent to the given expression.
Therefore, the correct option is A.
A company's profit increased linearly from $5 million at the end of year 2 to $17 million at the end of year 6.
(a) Use the two (year, profit) data points (2, 5) and (6, 17) to find the linear relationship y = mx + b between x = year and y = profit.
(b) Find the company's profit at the end of 3 years.
(c) Predict the company's profit at the end of 8 years.
Answers
Below, you will learn how to solve the problem.
(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).
The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)
m = 12/4
m = 3
Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6
b = -1
So the linear relationship between x = year and y = profit is:
y = 3x - 1
(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1
y = 8
So the company's profit at the end of 3 years is $8 million.
(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:
y = 3(8) - 1 = 23
So the company's profit at the end of 8 years is predicted to be $23 million.
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what is a flat booking fee of $25
Answers
Answer: $2.50
Step-by-step explanation:
Hello!
A flat booking fee is usually about 10% of the cost which will leave you with $2.50.
Um..Please help me with this...
Answers
Answer:
2,1 4,2 6,3 8,4 10,5 12,6 14,7 16,8 18,9 20,10 etc.
Step-by-step explanation:
You will be catering a private party for 12 people. You decide to make 11 / 2-ounce cranberry-orange muffins, and you estimate that each person at the party will have three muffins each. Your recipe makes 15 pounds of dough and calls for 4 pounds of cranberries. How many ounces of cranberries will you need for the muffins for this party?
Answers
The proportion of cranberries required for the muffins is 4 pounds x 16 ounces/pound = 64 ounces of cranberries. Therefore, to make the muffins for the party, you will need 64 ounces of cranberries.
To calculate the amount of cranberries needed for the muffins at a party of 12 people, making 11/2-ounce muffins and assuming each person will have three muffins, we need to convert the measurements and quantities.
Given that each muffin weighs 11/2 ounces, and each person will have three muffins, we can calculate the total weight of muffins needed. 11/2 ounces is equivalent to 1.5 ounces, so each person will consume 1.5 ounces x 3 muffins = 4.5 ounces of muffins.
For a party of 12 people, the total amount of muffins required is 4.5 ounces/person x 12 people = 54 ounces of muffins.
Now, to determine the amount of cranberries needed for the muffins, we need to consider the recipe's proportion. The recipe makes 15 pounds of dough and calls for 4 pounds of cranberries. To convert pounds to ounces, we know that 1 pound is equal to 16 ounces.
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using traditional methods, it takes 11.8 hours to receive a basic driving license. a new license training method using computer aided instruction (cai) has been proposed. a researcher used the technique with 13 students and observed that they had a mean of 12.0 hours with a standard deviation of 1.9. a level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. assume the population distribution is approximately normal. find the value of the test statistic. round your answer to three decimal places.
Answers
The test statistics value is 0.380
What is the standard deviation?
A standard deviation is a measurement of the data's dispersion from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
Standard deviation It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
For example: To find the standard deviation, you have to add up all the numbers in the data set, then divide by how many numbers there are, and that will get you your answer.
Formula:
t=(mean-time)/(standard deviation/√(number of students) )
=( 12 - 11.8) / (1.9 / √13 )
= 0.380
This is test statistics value.
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