I will use the law of exponent below
⇒if you re multiplying powers of them same base, keep one base and add the exponents mathematically we say:
[tex]x^{n} *x^{n} \\=x^{n+n}[/tex]
[tex]=m^{9+(-3)} \\=m^{9-3} \\=m^{6}[/tex]
OPTION D is the solution
when analyzing research data, if the difference between group a and group b did not happen by chance and the data showed a real difference, the results are called:
When analyzing research data, if the difference between group a and group b did not happen by chance and the data showed a real difference, the results are called statistically significant.
Statistically significant results occur in a research data when the difference between two groups is not likely to occur on its own, without the benefit of the independent variable. Statistically significant findings suggest that the researchers' outcomes are unlikely to be a result of chance, and that there is a relationship between the variables under investigation in the larger population. In such cases, the research usually rejects the null hypothesis and accept the alternative hypothesis.
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n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume?
1080 inches² are the dimensions of the box with maximum volume .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.rectangular box length = 24 inches
width = 45 inches
maximum volume = 24 * 45
= 1080 inches²
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Choose the slope and y intercept on the graph 50 points
When we want to find the slope of a line, we divide its increase on the [tex]y[/tex]-axis by its increase on the [tex]x[/tex]-axis. In other words, we look at its [tex]tan(a)[/tex]. As you can see in the photo, I chose two points that exactly intersect the axes and connected them in a right triangle. I then divided the increase in the [tex]y[/tex]-axis ([tex]3[/tex]) by the increase in the [tex]x[/tex]-axis ([tex]4[/tex]). Since the line slopes to the right, its sign will be positive. Also, this line intersects the [tex]y[/tex]-axis [tex](x=0)[/tex] at [tex]1[/tex].
The probability that a health nurse will find a client at home on a particular day is 0.7. what is the probability that on two home visits made by the nurse in a day, she will find each client at home?
The probability that the nurse will find the two patients is P = 0.49.
How to find the probability?
We know that the probability that the nurse finds the client on a particular day is 0.7
So, each time that the nurse goes that a home, that probability is the same and is independent of what happened before.
So if the nurse goes to two houses, the probability that she will find the client on the first home is 0.7
And the probability that she will find the client on the second home is 0.7
Then the joint probability (the product of the two individual ones) is:
P = 0.7*0.7 = 0.49
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Bruno works for Poseidon Pool Service. He needs to drain a 38,000-gallon pool so that he can repair the cracked plaster. The Pool drains 12 gallons per minute.
Write an equation to represent the pool draining in slope-intercept form.
How long will it take for the pool to fully drain? Explain using numbers and words
Bruno needs to refill the pool now that the plaster is repaired. The Pool fills 16 gallons per minute.
Write an equation in slope intercept form to represent the pool filling back up.
*
How long will it take for the pool to fill back up? Explain using words and numbers..
*
We need to find the function in slope-intercept form. We thus need the y-intercept and slope. We know there are 38000 gallons in the pool already, so the y-intercept is 38000. The pool drains 12 per minute, so the slope is -12.
y = mx + b
y = -12x + 38000
To find the time it takes to drain the pool, we need to find x where y = 0, so we set the equation to 0 and solve for x.
0 = -12x + 38000
-38000 = -12x
-38000/-12 = -12x/-12
3167 = x
Now, to fill it back up, the y-intercept is 0. We know the slope is 16, so the equation is:
y = 16x
Finally, we need to find 16x = 38000. This is simple enough.
y = 16x
38000 = 16x
38000/16 = 16x/16
2375 = x
Which of the following whole numbers are perfect squares? (Please select ALL correct answers for full credit).
Answer:
81, 100, 25, 4
Step-by-step explanation:
The square root of each of these numbers is whole
Answer:
these are the perfect squares
Step-by-step explanation:
(50 POINTS) and will give BRAINLIEST to BEST ANSWER!
200 divided by 5 x 32 + 12 -101=______?
Answer:
–87.75
Step-by-step explanation:
Write the equation:
200 ÷ 5 • 32 + 12 – 101 = ?
PEMDAS
200 ÷ (5 • 32) + 12 – 101 = ?
(200 ÷ 160) + 12 – 101 = ?
(1.25 + 12) – 101 = ?
(13.25 – 101) = ?
–87.75 = ?
–87.75
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Solve the equation 3x-7 = 2.
what unit would you use to measure the length of Supermarket
The length of the building should be measured in meters, as that is the most appropriate unit.
What are units?A unit of measurement is a specific magnitude of a quantity that has been established and adopted by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type. A length, for instance, is a physical quantity.The most suitable unit to measure the length of the building will be measuring the length of the building in meters.
Therefore, the length of the building should be measured in meters, as that is the most appropriate unit.
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write 0.578 as a percent?
0.578 can be expressed as a percent if we can multiply the decimal by 100%
Step 1: Multiply 0.578 by 100
To multiply by 100, we simply have to shift the decimal point by the number of zeros (twice)
0.578 x 100 = 57.8%
Answer = 57.8%
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of
The given statement is an example of the law of detachment.
Given that,
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of which is to be determined.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Following the statement given in the premises gives a certain conclusion which shows the detachment behavior.
Thus, the given statement is an example of the law of detachment.
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Find the 96th term of the arithmetic sequence 1, -12, -25,
The 96th term of the arithmetic sequence (1, -12, -25,.......) is 1234.
We are provided with the arithmetic sequence mentioned below;
1, -12, -25,...........
We know that, the rule to calculate the nth term in an arithmetic sequence is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 ) d equation 1
Here, d is the difference between two consecutive terms in the arithmetic sequence , [tex]a_{1}[/tex] is the first term, n is the number of terms and [tex]a_{n}[/tex] is the nth term.
We have,
n = 96
[tex]a_{1}[/tex] = 1
d = -12 -1 = -13
Now, substitute these values in equation 1 i.e, formula of arithmetic sequence and on substituting we will get
[tex]a_{96}[/tex] = 1 + ( 96 - 1 ) ( -13 )
[tex]a_{96}[/tex] = 1 - (95) (13)
[tex]a_{96}[/tex] = 1 - 1235
[tex]a_{96}[/tex] = 1234
So, we can conclude that the 96th term of the arithmetic sequence is 1234.
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2x- y=-4 x and y intercept
Answer:
y = 2x+4
Step-by-step explanation:
2x - y = -4
We add y on both sides:
2x - y + y = -4 + y
so 2x = -4 + y
We now add 4 on both sides:
2x + 4 = -4 + 4 + y,
so 2x+4 = y,
so y = 2x+4
So intercept for y = 2x+4
Write the equation in standard form for the circle with center (-5,0) passing through (-5, 3/2)
The equation of the circle in standard form is (x + 5)² + (y)² = 9/4.
How to write the equation of the circle in standard formThe general representation of the equation is:
(x-h)² + (y-k)²= r²
Where (h,k) is the coordinates of the center of the circle and r is the radius. And x and y are the corresponding x and y values of the point the circle passes through
Since we have the coordinate of the center as (-5,0) and the circle passes through (-5, 3/2). Therefore:
h = -5, k = 0, x = -5 and y = 3/2
Let's put these values in the formula.
(x-h)² + (y-k)²= r²
(-5 - (-5) )² + (3/2 - 0)² = r²
(-5 + 5)² + (3/2)²= r²
(0)² + (3/2)²= r²
(3/2)² = r²
r = 3/2
Putting radius, r = 3/2, h = -5 and k = 0 back into the formula wiil give:
(x + 5)² + (y - 0)²= (3/2)²
(x + 5)² + (y)² = 9/4
Therefore,the standard form of the equation of the circle is (x + 5)² + (y)² = 9/4.
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IONS: Find the value of
85°
45°
Answer:
x = 45, y = 85
Step-by-step explanation:
In this figure we can see a Z-angle, which tells us that x = 45
In a triangle, the sum of the angles is 180 degrees,
so the unknown angle in the triangle is 180 - 45 - 85 = 50
For a straight line, the total angle is 180 degrees,
, so y + x + unknown angle of triangle = 180
since x = 45, and unknown angle of triangle = 50,
y = 180 - 45 - 50 = 85
This can also be seen when you realise that the two parallel lines give an F-angle, which tells us that Y = 85
Joe has a piece of wood that is 8/9 of a foot long. He is going to cut it into 4 equally sized pieces. He is going to sell the 4 smaller pieces of wood for a total of 10 dollars. How large will each of the 4 smaller pieces be? How much is he going to charge for each of the 4 smaller pieces?
Answer:
Step-by-step explanation:
The wood is (8/9) foot long. If cut into 4 pieces, each piece would be (8/9)/4 foot long.
(8/9)/4
((8/9)(1/4)= 8/36 or 2/9 foot long for each piece.
If he sells all 4 pieces for a total of $10, he will charge $10/4) = $2.50 each.
Enter the value for n for the equation 3^5 x 3^n = 3^8
Hope this will be helpful.
To receive an A in a course, John must have an average of 90 or above. If johns first four exam grades are 96,90,87, and 95, what is the minimum grade John can receive on the last exam to get an A in the course?
Answer: 72
Step-by-step explanation:
The average is 90.
To calculate the average, you add the grades and divide by the total amount of them. The number of grades is 5. We need to know what value of x satisfies the following equation:
[tex]90 = \frac{96+90+87+95+x}{5}[/tex]
To solve the equation, we first multiply each side by 5, netting:
450 = 96 + 90 + 87 + 95 + x.
Then we subtract each grade from each side.
450 - 378 = 378 - 378 + x
72 = x
(b-2)x = 8In the given equation, b is a constant. If the equationhas no solution, what is the value of b ?A) 2B) 4C) 6D) 10
(b-2)x = 8
In the given equation, b is a constant. If the equation
has no solution, what is the value of b ?
Step 1
identify
b is a constant, so (b-2) is a constant too.
If the equation has no solution, it is, there is not a value of x to satisfy (b-2)x=8
Step 2
solve for x
[tex]\begin{gathered} \left(b-2\right)x=8 \\ x=\frac{8}{(b-2)} \\ \end{gathered}[/tex]This value becomes indeterminate when the denominator takes the value of zero,it is
[tex]\begin{gathered} b-2\text{ =0} \\ \text{isolating x} \\ b=2 \\ \end{gathered}[/tex]so , the value of b=2 makes the equation has no solution.
Answer
A) 2
If I were to roll 2 dice looking for a 1 and anything but a 3, or 4. What is the probability I will get the result I'm looking for.
The prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places)
What is Prοbability?In mathematics, prοbability is a measure οf the likelihοοd οr chance οf an event οccurring, expressed as a number between 0 and 1, where 0 represents an impοssible event and 1 represents a certain event. It is a fundamental cοncept in statistics and is used tο mοdel and analyze a wide range οf real-wοrld phenοmena.
The prοbability οf getting a 1 οn a single die is 1/6, and the prοbability οf getting anything but a 3 οr 4 οn a single die is 4/6 (since there are 6 pοssible οutcοmes and 3 οf them result in a 3 οr a 4).
Tο find the prοbability οf getting the desired οutcοme when rοlling twο dice, we can use the multiplicatiοn rule οf prοbability, which states that the prοbability οf twο independent events οccurring tοgether is the prοduct οf their individual prοbabilities.
Sο the prοbability οf getting a 1 οn οne die and anything but a 3 οr 4 οn the οther die is:
(1/6) x (4/6) = 4/36 = 1/9
Since there are 36 pοssible οutcοmes when rοlling twο dice, the prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places).
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The probability distribution for a random variable x is given in the table.
x -10 -5 0 5 10 15 20
probability .20 .15 .05 .1 .25 .1 .15
Find the probability that x(=>)5
Probability that x greater than or equal to 5 is 0.6 i.e., Probability that x ≥ 5 = 0.6
The probability distribution for a random variable x is given in the table.
x | -10 -5 0 5 10 15 20
probability | 0.20 0.15 0.05 0.1 0.25 0.1 0.15
If a random variable x has values x₁, x₂, .. ,xₙ with their corresponding probabilities given for each of them P(xₐ), then probability that x ≥ xₐ, for some a = 1, 2, .. , n is,
P(x ≥ xₐ) = P(xₐ) + P(xₐ₊₁) +...+P(xₙ).
Here we need to find the probability that the random variable x is greater than equal to 5. So we need to add up the probabilities corresponding to the random variables x ≥ 5.
So here, probability that x ≥ 5 is
P(x ≥ 5) = P(5) +P(10) + P(15) + P(20)
= 0.1 + 0.25 + 0.1 + 0.15
= 0.6
Hence Probability that x ≥ 5 is 0.6.
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ASAP PLEASE HELP !!!!
Evaluate.
4^4+400÷(4+6^2)−2^4
Which answer is correct?
250
244
18
10
Answer:
250
Step-by-step explanation:
4^4+400÷(4+6^2)−2^4
256 + (400 ÷(4+36) ) -16
256 + (400÷40) -16
256+ (400 (1/40) ) -16
256 + (400/40) -16
256 + (2 · 6) -16
256 + 10 =16
250
n proof testing of circuit boards, the probability that any particular diode will fail is 0.030.03. suppose a circuit board contains 150 diodes and that each one performs or fails independently of all others. how many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail? 5 points
You would expect 4.5 diodes to fail. The standard deviation of the number that are expected to fail is 2.089.
The number of diodes failing, E(X), can be calculated by multiplying the population, n, with the probability, p.
n = 150
p = 0.03
E(X) = n × p
E(X) = 150(0.03)
E(X) = 4.5
Standard deviation, denoted by σ, is defined as the measure that indicates the average distance of observations from the mean of the data set.
σ = √(n x p x (1 - p))
σ = √(150 x 0.03 x (1 - 0.03))
σ = √150 x 0.03 x 0.97
σ = √4.365
σ = 2.089
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Find the equation of the linear function represented by the table below in slope-intercept form X 0,1,2,3,4 Y -2,5,12,19,26
The equation of the linear function represented in the table in slope intercept form is y = 7x -2
How to represent linear equation in slope intercept form?A linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the table follows a linear pattern.
Hence, using (0, -2)(1, 5) we can find the slope and the y-intercept of the linear function.
Therefore,
m = 5 - (-2) / 1 - 0
m = 5 + 2 / 1
m = 7
Therefore, let's find the y-intercept using (0, - 2).
y = mx + b
-2 = 7(0) + b
hence,
b = -2
Therefore, the slope intercept form of the table is y = 7x - 2
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6 (y - 5) = 18 - 2y
[tex]6(y) + 6( -5 ) = 18 - 2y \\ 6y - 30 = 18 - 2y \\ 6y + 2y = 18 + 30 \\ 8y = 48 \\ \frac{8y}{8} = \frac{48}{8} \\ y = 6[/tex]
ATTACHED IS THE SOLUTION
I need help with my math
Consider the formula,
[tex]x^m\cdot x^n=x^{m+n}[/tex]The expression is given as,
[tex](2.3\times10^4)(3\times10^5)[/tex]Solve the expression as,
[tex]\begin{gathered} =(2.3\times10^4)(3\times10^5) \\ =2.3\times10^4\times3\times10^5 \\ =2.3\times3\times10^4\times10^5 \\ =6.9\times10^{4+5} \\ =6.9\times10^9 \end{gathered}[/tex]Thus, the given expression is evaluated as,
[tex](2.3\times10^4)(3\times10^5)=6.9\times10^9[/tex]Holland added three decimals that made a sum of 2. One of the decimals was 0.34.
What are two other decimals Holland could have used to make a sum of 2? Explain how you know.
Two decimals are 0.34, 0.83, and 0.83 and Holland could have used it to make a sum of 2.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
We get x + x = 2x by using x to signify our missing values and the assumption that there are two missing values. We obtain the equation 2x + 0.34 since it is the product of these integers and 0.34; after setting it equal to 2, 2x + 0.34 equals 2.
First, take 0.34 off both sides to get 2x = 1.66. To get x = 0.83, divide both sides by 2 now.
Therefore, the decimals are 0.34, 0.83, and 0.83.
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Given l || m
n, find the value of x.
m
The value of 'x' is highlighted in the box
Nicole's getaway spa (ngs) has been so successful that nicole has decided to expand her spa by selling merchandise. she sells things such as nail polish, at-home spa kits, cosmetics, and aromatherapy items. nicole uses a perpetual inventory system and is starting to realize all of the work that is created when inventory is involved in a business. the following transactions were selected from among those completed by ngs in august.
The journal entry will be prepared thus:
Date General Journal Debit Credit
2-Aug
Cash $540
Unearned Service Revenue $378
Sales Revenue $162
2-Aug
Cost of goods sold $105
Inventory $105
3-Aug
Accounts receivable $550
Sales revenue $550
3-Aug
Cost of goods sold $450
Inventory $450
6-Aug
Sales return (550/5) $110
Accounts receivable $110
6-Aug
Inventory $90
Cost of goods sold (450/5) $90
10-Aug
Unearned service revenue $126
Service Revenue $126
(378/3 = 126 each)
20-Aug
Cash $350
Sales revenue $350
20-Aug
Cost of goods sold $121
Inventory $121
22-Aug
Cash $440
Accounts receivable $440
What is a journal entry?A journal entry is the act of recording any transaction, whether one that is economic or not.
An accounting diary that displays the debit and credit balances of a corporation lists transactions. Multiple recordings, each of which is either a debit or a credit, may be included in the journal entry.
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Aug.2 Sold a bundle of spa services with a merchandise basket. When sold separately, the spa service part of the bundle sells for $420 and the merchandise basket normally sells for $180. Together, the bundle was sold to Val Amy for cash at a selling price of $540 (total). Val booked a spa treatment for August 10, and she took the basket of goods with her. The goods had cost NGS $105.
Aug.3 Sold 5 identical items of merchandise to Cosmetics R Us on account at a selling price of $550 (total); terms n/30. The goods cost NGS $450.
Aug.6 Cosmetics R Us returned one of the five items purchased on August 3. The item could still be sold by NGS in the future and credit was given to the customer.
Aug.10 Val Amy used one of the three spa treatments she had purchased as part of the bundle sold to her on August 2.
Aug.20 Sold two at-home spa kits to Meghan Witzel for $350 cash. The goods cost NGS $121.
Aug.22 Cosmetics R Us paid its remaining account balance in full.
Prepare all journal entries
A college has 19 engineering students for every 81 students enrolled. if the college has 750 students, approximately haw many are engineering students
The number of engineering students for 750 college students will be 176 students
Number of engineering students: 19
The number of total students for 19 engineering students = 81 students
Percentage: A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
Percentage of engineering students in relation to the total students = Number of engineering students/ Total students*100
= 19/81*100
= 23.45%
So, for 750 students the number of engineering students will be
= 23.45% of 750
= 23.45/100*750
= 175.87 or 176 students
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