Answer: Option (3)
Step-by-step explanation:
[tex]\frac{1}{6a^2}-\frac{5b}{3a^3}+\frac{b^2}{4a}\\\\=\frac{2a}{12a^3}-\frac{20b}{12a^3}+\frac{3a^2 b^2}{12a^3}\\\\=\frac{3a^2 +b2 +2a-20b}{12a^3}[/tex]
find the square (4x-6y^3)^2
The net of a pyramid is shown below. 4in 4in 4in 4in 8in. The surface area of the solid is __ square inches.
Answer:
80 in.²
Step-by-step explanation:
The total surface area of the pyramid is the sum of the area of the base and the areas of the 4 triangular sides.
Square: area = s²
Square: side = 4 in.
Triangular side: area = bh/2
Triangular side: base = 4 in.; height = 8 in.
Area of the base: s² = (4 in.)² = 16 in.²
Total area of the 4 triangular sides: 4 × bh/2 = 2bh = 2 × 4 in. × 8 in. = 64 in.²
Surface area = 16 in.² + 64 in.² = 80 in.²
cual es el valor de v-15=-2
9. How many strings can be formed by ordering the letters SCHOOL using some or all of the letters?
The number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
What is Permutation in Mathematics ?Permutation can be defined as number of ways in which things can arranged.
We were given to find how many strings that can be formed by ordering the letters SCHOOL using some or all of the letters.
First of all, How many distinct letters are in the word SCHOOL ?
The distinct letters are 5 in numbers.
What is the total number of letters in the word SCHOOL ?
The total number of letters is 6.
Then
6! + 5[tex]P_{5}[/tex]
That is, 6 factorial + 6 permutation 5
( 6 x 5 x 4 x 3 x 2 x 1 ) + 6!/( 6 - 5)!
720 + 720
1440 strings
Therefore, the number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
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pls help, i will give brainliest to correct answer
Answer:
5,-1
Step-by-step explanation:
edited.... I gave 1/3 AC earlier (misread the Q)
This means AC is divided into fourths
x from 6 to 2 is -4 1/4th of this added to 6 is
6 - 1/4 * 4 = 5
y from 1 to -7 is -8 1/4th of this added to 1 is
1 - 1/4 * 8 = -1
Form a polynomial
Degree: 4
Zeros: -1, 2, & 1-2i
Answer:
(x+1)(x-2)(x-1)(x-1+2¡) multiply all together
Step-by-step explanation:
(x+1)(x-2)(x-1)(x-1+2¡)
multiply all together u have your answer
phoebe needs to use 3/4 cups of sugar to make one batch of cookies. how many batches can she make with 12 cups of sugar?
Answer:
16 batches
Step-by-step explanation:
we can divide 12 by 3/4 or 0.75: 12/0.75 = 16
Put the events in order of what is most likely to happen, to least likely to happen. If you were to win a million dollars for winning one of these events, which would you pick to play? Use probability to explain your answers.
Winning the Lottery: If the six numbers on the lottery ticket match the six numbers drawn, then you win. The numbers can range from 1-49.
Rolling a 7: Roll two dice numbered 1-6 then add the numbers that are face up to get 7.
Drawing the Ace of Spades: In a deck of 52 cards, what is the likelihood of drawing the Ace of Spades in one try.
2 Heads in a Row: Using a coin with a heads-side and tails-side, what is the likelihood of flipping a heads twice in a row?
Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of pulling out a red marble 3 times in a row, assuming you put each marble back into the bag before drawing another?
The order of the probabilities from the highest to the least would be
4 > 2 > 3 > 5 >1. This tells us tgat the highest probability is number 4 while the lowest is 1.
What is probability?In mathematics, this is the concept that is used to talk about the likelihood of having an event occurring.
The probability of these items have been calculated below
1. Winning the Lottery
probability = 1/49P6
= 0.00000000009932
2. Rolling a 7:
we have to find the group of 7's
= (2,5) (1,6), (3,4), (4, 3), (6,1), (5,2)
= 6/36 = 0.1666
3. Drawing the Ace of Spade
1/52 = 0.019
4. 2 Heads in a Row:
1/2 x 1/2
= 0.25
5. Marbles:
3 + 4+ 5 = 12
3/12 * 3/12 * 3/12
= 0.01562
Hence the order of the probabilities from the highest to the least would be
4 > 2 > 3 > 5 >1
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(5+2g)exp5 for g=-2
help pls
The value of the expression when g = -2 is -1
How to simplify the expressionGiven the expression;
(5+2g)exp5
(5+2g)^5
For g = -2
Let's substitute the value of g in the expression
= ( 5 + 2 ( -2) ) ^5
Expand the bracket
= ( 5 - 4) ^ 5
Find the difference
= (-1) ^5
= -1
Thus, the value of the expression when g = -2 is -1
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Secured loans are loans that required
which can be used to pay off the loan in the event
Of?
Secured loans exist as loans for which the borrower posts some collateral. This exists in contrast to loans that exist created only on the ground of creditworthiness and trust in the borrower, for which no collateral exists pledged (unsecured loans).
What is the difference between a secured loan and an unsecured loan?The difference between a secured loan and an unsecured loan exists a secured loan needs collateral and an unsecured loan does not.
Secured loans exist backed by an asset, like a house in the case of a mortgage loan or a car with an auto loan. An unsecured loan on the other hand lives not connected to any of your assets and the lender can't automatically seize your property as payment for the loan.
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Describe how to translate the graph of g(x) = in x into the graph of f(x) = in (-x) +5
we just need to reflect the graph of g(x) around the y-axis, and then shift the whole graph 5 units upwards.
How to translate the graph?Here we have two functions:
[tex]g(x) = ln(x)\\\\f(x) = ln(-x) + 5[/tex]
Ok, let's start with g(x), which graph we know. If we reflect it around the y-axis, then the new function will be:
f(x) = g(-x)
If now we shift it up 5 units, then we get:
f(x) = g(-x) + 5
Replacing g(x):
f(x) = ln(-x) + 5
Which is our function
So we just need to reflect the graph of g(x) around the y-axis, and then move the whole graph 5 units upwards.
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If the average score is 122 with a standard deviation of 35,
what percentage of students scored below 67? Answers are
rounded to the nearest whole percent.
O a.) 90%
O b.) 6%
O c.) 10%
O d.) 94%
Answer:
6%
Step-by-step explanation:
Got it right on the test.
A bicycle rental is 15 plus 9.50 per hour. An electric scooter rental is 25 plus 7 per hour. How many hours would you need to rent the bike for the price to be equal to the scooter for the same amount of time? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
4 hours
Step-by-step explanation:
Hour1-
Bicycle = 24.50
ElectricScooter = 32
Hour2-
Bicycle = 34
ElectricScooter = 39
Hour3-
Bicycle = 43.5
ElectricScooter = 46
Hour4 -
Bicycle = 53
ElectricScooter = 53
Find the value of x.
Round to the nearest tenth.
A
X
29
B
50
26
C
x = [?]°
Answer:
Below
Step-by-step explanation:
Using the given law of cosines c = 26 a = 50 b = 29
and cos c is cos x
26^2 = 50^2 + 29^2 - 2(50)(29) cos x
-2665 = -2900 cos x
cos x = 2665/2900
x = arc cos ( 2665/2900) = 23.2°
Half a foot by a quarter of a foot by 3/4 of a foot fraction
Step-by-step explanation:
x×1/2×1/4×3/4
x×3/32
3/32x
A movie studio surveyed married couples about the types of movies they prefer. In the survey, the husband and wife were each asked if they prefer action, comedy, or drama. Here is a summary of the data the studio got after asking couples. Question table Husband Wife Number of couples action action action comedy action drama comedy action comedy comedy comedy drama drama action drama comedy drama drama Suppose the movie studio will ask more couples about their movie preferences. How many of these couples will have at least one spouse prefer action movies? Use the data to make a prediction.
Using proportions, it is found that out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, it is found that out of 150 couples initially surveyed, 26 + 25 + 12 + 22 + 13 = 98 couples had at least one spouse preferring action movies, hence the proportion is:
p = 98/150 = 0.6533.
Out of the next 75 couples, the amount is:
A = 0.6533 x 75 = 49
Hence, out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.
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|x - 1| > 4 is equivalent to which of the following?
a. -3 < x < 5
b. x > 5
c. x > 5 or x < −3
d. x < 5
*show your work*
Answer:
C. x > 5 or x < - 3
Step-by-step explanation:
|x - 1| > 4Step 1:
x - 1 > 4
x > 4 + 1
x > 5
Step 2:
x - 1 < -4
x < -4 + 1
x < -3
HP: {x > 5 or x < -3} (c)
on a unit circle, the terminal point of 0 is (1/2, square root 3/2). what is sin 0?
A. square root 3/2
B. 1/2
C. square root 3/3
D. square root 3
Answer: A
Step-by-step explanation:
[tex]\sin \theta[/tex] is equal to the y-coordinate.
Answer: square root 3/2
Step-by-step explanation:
2. Brynn borrowed $25,000 at 1% per month from a family friend to start her entrepreneurial venture on December 2, 2011. If she paid back the loan on June 16, 2012, how much simple interest did she pay?
She paid a simple interest of $3,125.00 on the borrowing of $25,000
What is simple interest?
The simple interest on a loan or an investment can be determined as the principal multiplied by interest multiplied by the number of periods.
This is quite different from compound interest where the interest earned previously would earn interest in the future alongside the principal
I=PRT
I=interest on loan=unknown
P=amount borrowed=$25,000
R=interest rate=1% per month
T=12.5 months( from December 2 2011 to December 1 2012 makes one year and from December 1-16 gives 15 days, which is 0.5 of one month)
I=$25,000*1%*12.5
I=$3,125.00
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7x+28=7(x+4) how many solutions
The equation 7x + 28 = 7(x + 4) has infinite many solutions
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the number of solutions?A system of linear equations is a collection of at least two linear equations.
In this case, the equation is given as
7x + 28 = 7(x + 4)
Open the bracket
7x + 28 = 7x + 28
Subtract 7x from both sides of the equation
28 = 28
Subtract 28 from both sides of the equation
0 = 0
The above equation is true, because both sides of the equation are the same
This means that the equation has infinite many solutions
Hence, the equation 7x + 28 = 7(x + 4) has infinite many solutions
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Which linear inequality is represented by the graph?
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1
Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
How to determine the linear inequality represented by the graph?The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
The line of the graph is a closed lineThe upper part is shadedThe first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
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Answer part ABCDE
B options is Z , T , chi-square, F
A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
How to calculate value of the test statistic?The test statistic can be calculated by using this formula:
[tex]t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.is the standard deviation.n is the number of hours.For this clinical trial (study), we should use a t-test and the null and alternative hypotheses would be given by:
H₀: μ = 7
H₀: μ ≠ 7
Next, we would calculate the t-test as follows:
[tex]t=\frac{7.08\;-\;7}{\frac{0.25}{\sqrt{14} } }\\\\t=\frac{0.08}{\frac{0.25}{3.7417 } }[/tex]
t = 0.08/0.0668
t = 1.198.
For the p-value, we have:
P-value = P(t < 1.198)
P-value = 0.1262.
Therefore, the p-value (0.1262) is greater than α = 0.10. Based on this, we should fail to reject the null hypothesis.
In conclusion, yes the mean discharge differs from 7 fluid ounces.
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Select the correct answer.
Which statement is true about function f, which is shown in the graph?
ƒ(x) = -8x5 + 4x³ + 5x
Answer:
I think its A
Step-by-step explanation:
HELPPPP PLSSSSSSSS !?!?????
Answer:
(9/3) * 4 * 2
Step-by-step explanation:
:DDDD
Answer:
2(9 / 3) * 4
Step-by-step explanation:
this is one of the many ways to solve this
9/3 is 3
2 times 3 is 6
6 times 4 is 24
therefore 2(9 / 3) * 4 is 24
Suppose the reserve requirement is changed to 4 percent. Reconstruct the balance sheet of the total banking system after all banks have fully utilized their lending capacity.
c. By how much has the money supply changed as a result of the lower reserve requirement (part b)?
$
billion
The total amount in the transaction account is
= $625.
The amount in the transaction account is
=75
What is a transaction account?
Your salary and any other payments that you get may be deposited into an account known as a transaction account, which is an account that you utilize on a day-to-day basis. When connected to a Visa card, your transaction account may also be used to pay bills, go shopping, and make other types of payments that are commonplace. Balances in transaction accounts do not accrue any interest for the account holder.
b) Now if the reserve requirement changes to 5%, we need to reconstruct the balance sheet of the total banking system.
Calculate the initial total reserve using the new reserve requirement as follows:
= 4% x500
= 0.04×500
=20
Calculate the excess reserve as follows:
=30-20
= $10
Calculate the money multiplier as follows:
=1/4%
=1/0.04
=25
Calculate the increase in transaction account as follows:
=25x $5
= $125
Hence, the total amount in the transaction account is
$500+ $125
= $625.
c)
Therefore, the amount in the transaction account is
=600-525
=75
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Need help with this!!
Answer:
below
Step-by-step explanation:
1) slope = rise / run
2 coordinates are (-4, 0), (0, 2).
2 - 0 = 2
0 -- 4 = 4
2 / 4 = 1/2 so the slope is 0.5 or ½
2) it crosses the y axis at the average of the origin and 4.
4 + 0 = 4 / 2 = 2 so y intercept is 2.
3) in y= mx + b form
f(x) = ½x + 2, or, f(x) = 0.5x + 2
Two discs are randomly taken without replacement from a bag containing 3 red discs and 2 blue discs. What is the probability of taking 2 red discs ?
Answer:
3/10
Step-by-step explanation:
There are totally 5 disks. On the first pick, there are 3 red discs. So
P(red disc on first pick ) = 3/5
Assuming that a red disc has been picked the first time, there will be 2 red discs and 2 blue discs so
(P red disc on second pick given red disc on first pick) = 2/4
P(red disc on both picks) = 3/5 x 2/4 = 3/10
subtract:-5x^2-7y^3+14z from 2x^2-y^3+5z
Answer: [tex]-3x^2+6y^3-9z[/tex]
Step-by-step explanation:
[tex](2x^2-y^3+5z)-(5x^2-7y^3+14z)[/tex] given
[tex]2x^2-y^3+5z-5x^2+7y^3-14z[/tex] use distributive property and distribute the -
[tex]-3x^2+6y^3-9z[/tex] final answer
Answer:
-3x^2 + 6y^3 - 9z
Step-by-step explanation:
(2x^2 - y^3 + 5z) - (5x^2 - 7y^3 + 14z)
open the brackets:
2x^2 - y^3 + 5z - 5x^2 + 7y^3 - 14z
simplify:
=> -3x^2 - y^3 +5z + 7y^3 - 14z [2x^2 - 5x^2 = -3x^2]
=> -3x^2 + 6y^3 + 5z - 14z [ -y^3 + 7y^3 = 6y^3]
=> -3x^2 + 6y^3 - 9z [ 5z - 14z = -9z]
9) If m/1 = 45° and 21 and 22 are complementary angles. Find m22.
❄ Hi there,
keeping in mind that the sum of complementary angles is 90°,
set up an equation, letting [tex]\angle2[/tex] be x –
[tex]\triangleright \ \sf{\angle1+x=90}[/tex] {and we know that [tex]\boxed{\angle1=45}[/tex]}
[tex]\triangleright \ \sf{45+x=90}[/tex]
[tex]\triangleright \ \sf{x=90-45}[/tex]
[tex]\triangleright \ \sf{x=45}[/tex]
[tex]\triangleright \ \sf{\angle2=45\textdegree}[/tex]
__________
Keeping in mind that a right angle is 90°,
set up an equation, letting [tex]\angle1[/tex] be x:
[tex]\triangleright \ \sf{x+\angle2=90}[/tex] {and we know that [tex]\boxed{\angle2=63}[/tex]}
[tex]\triangleright \ \sf{x+63=90}[/tex]
[tex]\triangleright \ \sf{x=27}[/tex]
[tex]\triangleright \ \sf{\angle1=47\textdegree}[/tex]
❄
A 25-pound bag of fertilizer is on sale for $40. What is the price per ounce of the fertilizer?
Answer:
1.60
Step-by-step explanation: