Answer: −6x7+7x−1
Step-by-step explanation:
Distribute:
=(7)(x)+(7)(1)+−6x7+−8
=7x+7+−6x7+−8
Combine Like Terms:
=7x+7+−6x7+−8
=(−6x7)+(7x)+(7+−8)
Lionel, Jill and Grace are all reading the same book. Lionel has read 31.5% of the book. Jill has read \binom{1}{3}( 3 1 ) of the book. Grace has read \binom{3}{8}( 8 3 ) of the book. Which list shows the numbers in order from greatest to least?
Answer:
Grace, Jill, Lionel
Step-by-step explanation:
Lionel, Jill and Grace are all reading the same book. Which list shows the numbers in order from greatest to least?
The first step is to convert to decimal numbers
For Lionel
Lionel has read 31.5% of the book.
= 31.5% = 31.5/100 = 0.315
For Jill
Jill has read 1/3 of the book.
= 1/3 = 0.33333333333
= 0.333
For Grace
Grace has read 3/8 of the book.
= 3/8 = 0.375
The, list shows the numbers in order from greatest to least
= Grace, Jill, Lionel
Where Grace is the greatest and Lionel is the least.
4sqrt2(sqrt6-3sqrt24)
Answer:
-40\sqrt{3}
-.69.282
Step-by-step explanation:
4.
Use the FlashCard statement to answer the question below.
ACCOUNT INFORMATION
Account Number
TRANSACTIONS
9 MAY
12 MAY
15 MAY
18 MAY
21 MAY
SUMMARY
3291684271 Fanelli Furs
594683219 Brooklyn Pets
7677095385 Maple Garage
8765713281 PAYMENT
321447162 Caruso's Restaurant
Previous
Balance
$420.50
4-10700000
Total Credit Line
Total Avalable Credit
Payments
New
/ Credits Purchases
$150.00
$1.227.24
$3,000.00
$1,661.51
Billing Date
Late
Charge
$0.00
Average
Daily
Balance
$1,199.97
30 May Payment Due
Finance
Charge
$19.80
#Days
in Billing
Cycle
30
8 Jun
DEBITS/CREDITS (-)
New
Balance
$1,517,54
APR
19.8%
$975.00
$32.50
$178.21
$150.00
$41.53
Minimum
Payment
$30.00
Monthly
Periodic
Rate
1.65%
What is the sum of all Payments made during the billing cycle?
The sum of all Payments made during the billing cycle is $975.00
What is the subtractions?
A subtraction is a mathematical operation that is used to find the difference between two numbers. It is represented by the symbol "-" or the word "minus". Subtraction is the inverse operation of addition, meaning that if you add two numbers and then subtract one of those numbers, you should end up with the original value of the other number.
In the FlashCard statement provided, the "DEBITS/CREDITS" section lists all the transactions made during the billing cycle, including payments, purchases, and credits. The payments are listed as negative numbers, indicating that they are subtractions from the balance. The sum of all the payments is calculated by adding up all the negative numbers listed in this section. In this case, it is $975.00.
It's also important to note that this section of the statement lists the transaction made on different days, in the case provided from 4 May to 21 May.
In summary, the sum of all Payments made during the billing cycle is $975.00 which is the total of payments made during that period.
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Analyze the proportion below and complete the instructions that follow.
2x+5 x-5
3
4
Solve the proportion for x
A. -7
B. -4
C-2
D. -1
Answer:
A
Step-by-step explanation:
what is simple intrest
Simple Interest can be defined as a method of calculating interest for a some principal amount over a period of time.
When we borrow money or take a loan , and when we pay back the loan some money is charged based in the amount borrowed and time period the loan is taken ,
that money charged is called as Simple Interest .
Simple Interest can be calculated using the formula
SI=(PxRxT)/100
where, P=principal , R=rate of interest , t=time taken
The main difference between the Simple Interest and Compound Interest is the in Simple interest the principal is fixed whereas in Compound Interest the principal keeps on varying with time .
For Example : John borrowed $200 from Smith at 10% rate of interest for 5 years .
So the Simple Interest that John has to pay Smith will be
SI=(PxRxT)/100
SI=(200x10x5)/100
SI=10000/100
SI=$100
So apart from principal amount $200 John has to pay extra $100 as interest , Total John will be paying $300 to smith in return.
Therefore , Simple Interest is defined .
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The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.
7.) 4, 5, 6
8.) 11, 12, 15
9.) 30, 40, 50
The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.
What is Triangle?Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
7.) This triangle is obtuse.
To see this, we can use the Pythagorean theorem:
4*4 + 5*5 = 16 + 25 = 41
6*6 = 36 m
Since 41 > 36, we know that the triangle is obtuse.
8.) This triangle is right.
To see this, we can again use the Pythagorean theorem:
11*11 + 12*12 = 121 + 144 = 265
15*15 = 225 m
Since 265 = 225 + 40, we know that the triangle is right.
9.) This triangle is also right.
We can use the same method as before:
30*30 + 40*40 = 900 + 1600 = 2500
50*50 = 2500 m
Since 2500 = 2500, we know that the triangle is right.
Therefore, The given triangles are obtuse , right angled and right angled.
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Please help needed asap!!
Answer:
Given that `x=10`, we can find the value of `a` and `b` by substituting the value of `x` into the given expressions for `a` and `b`.
For `a`, we have: `a = 5x^2/2`. Substituting `x=10`, we get: `a = 5(10)^2/2 = 250`.
For `b`, we have: `b = 2x^2(x-5)/10x`. Substituting `x=10`, we get: `b = 2(10)^2(10-5)/10(10) = 100`.
Therefore, when `x=10`, the value of `a` is 250 and the value of `b` is 100.
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what does it mean when the second derivative equals zero
When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.
Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.
Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.
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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.
To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.
Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.
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Sodium inc borrowed 280000in April 1the note requires interest at 12% and principal to be paid in one year, how much interest is recognized for the period from April 1 to December 31?
Given:
Principal = 280,000
Rate of interest = 12% per annum.
Time period is from April 1 to December 31.
To find:
The interest recognized for the period from April 1 to December 31.
Solution:
Time period from April 1 to December 31 is 9 months.
12 months = 1 year
1 month = \(\dfrac{1}{12}\) year
9 month = \(9\times \dfrac{1}{12}\) year
So,
\(Time=9\times \dfrac{1}{12}\)
\(Time=\dfrac{9}{12}\)
\(Time=0.75\)
Formula for interest is
\(I=P\times r\times t\)
where, P is principal, r is rate of interest and t is time.
\(I=280,000\times \dfrac{12}{100}\times 0.75\)
\(I=25200\)
Therefore, the the interest is 25,200.
Find the distance between the two points rounding to the nearest tenth (if
necessary).
(8,-5) and (1,1)
Answer:
you use the distance formula: square root of (x2-x1)^2 + (y2-y1)^2. it is a little hard to type the equation out so I reccomend you look up the distance formula and plug the given coordinates into it
I really need help because I’m so confused where to start and it’s due tomorrow :(
Answer:
1. 8t+4v
A.9v+7t+6
S.14v+7t
Answer two questions about Equations A and B:
2
−
1
=
5
.
−
1
=
3
A.
B.
2x−1
−1
=5x
=3x
1) How can we get Equation B from Equation A?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Add/subtract the same quantity to/from both sides
(Choice B)
B
Add/subtract a quantity to/from only one side
(Choice C)
C
Rewrite one side (or both) by combining like terms
(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
1. To get Equation B from Equation A, we add/subtract the same quantity to/from both sides.
2. Equation A is equivalent to Equation B
What is an equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Here, we have
1. We are given the equation :
2x - 1 = 5x .............(A)
To get Equation B from A, we would subtract 2x from both sides of the equation.
2x - 2x - 1 = 5x - 2x
- 1 = 3x...... (B)
Hence, to get Equation B from Equation A, we add/subtract the same quantity to/from both sides.
2. Based on the previous answer,
2x - 1 = 5x is equal to -1 = 3x.
Hence, both Equation A and Equation B are equivalent expressions.
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Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.
Genre Number of songs
Rock 444
Pop 222
Country 777
Classical 888
How many different playlists could Jeremiah create?
Answer:
68009554368
Step-by-step explanation:
mulitply all the numbers by each other
Which fraction is equal to 6
Answer:
6 over 1.
Step-by-step explanation:
what is the condition for the first dark fringe through a single slit of width w?
The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.
How we get the condition for the first dark fringe?Determine the condition for destructive interference at the first dark fringe.The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.
For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:
Δx = λ/2
where Δx is the path difference and λ is the wavelength of the light.
The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:
Δx = w sin(θ)
Therefore, the condition for the first dark fringe can be expressed as:
w sin(θ) = λ/2
The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.
This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.
This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.
The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.
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Leticia is running
a cross-country race. She runs the first
mile in 12 minutes. How many miles can
she run in 1 hour?
Answer:
Step-by-step explanation:
first, we convert the minutes into an hour
there are 60 minutes in an hour
so then we do 60 divided by 12
that equals to 5
so 5 miles is the answer
A triangle has two sides of lengths 7 and 12. What value could the length of
the third side be?
Check all that apply.
A. 7
B. 9
C. 17
D. 3
E. 5
F. 11
Help plsssd Help pldddd
ok the first one
and this is the second one
Consider the function below. 74 POINTS!!!!!!!!
Which of the following functions could be the inverse of function f?
Answer:
x -2 3 8 13
f^-1(x) -1 0 1 2
Step-by-step explanation:
The inverse function has the input as the output and the output as the input
x -2 3 8 13
f^-1(x) -1 0 1 2
Answer: C
Step-by-step explanation: In this problem, we're given a function
in the form of a chart and we're asked to find the inverse of the function.
To find the inverse of a function, we simply switch
the x and y values in each point.
In other words, the point (-1, -2) becomes (-2, -1),
the point (0, 3) becomes (3, 0), the point (1, 8) becomes (8, 1),
and the point (2, 13) becomes (13, 2).
The graph of y=√x is shifted 2 units down and 3 units left. Which equation represents the new graph?
A. y=√x-2-3
B. y=√x+2-3
C. y=√x+2+3
D. y=√x+3+2
the equation that represents the new graph is:
g(x) = √(x - 3) - 2
Which equation represents the new graph?
Here we start with the function:
y = f(x) = √x
First, we shift it 2 units down, then the new equation will be:
g(x) = f(x) - 2
Now we apply a horizontal shift, this time we shift the graph 3 units to the left, then the new equation is:
g(x) = f(x - 3) - 2
Now we replace f(x) = √x to get:
g(x) = √(x - 3) - 2
That is the equation that represents the new graph.
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Find the solutions to x² = 28.
Answer:
\(2 \sqrt[]{7} , and -2\sqrt[]{7}\)
Step-by-step explanation:
or:
x=5.29150262…,−5.29150262
2y+y=5 what first step would need to be taken
Answer:
you would need to add the like terms together
Step-by-step explanation:
Please help me !!!!!!!!!!!
Answer:
B. g(x) = 2f(x-1)f(x)
Step-by-step explanation:
f(x) --> 2f(x) vertical stretch by a factor of 2
f(x) -> f(x-1) horizontal tranlation right 1 unit
How many solutions does this equation have?
–8 + t = –t + 10
Answer:
One
Step-by-step explanation:
Since (1) is the highest exponent value, there can only be one solution.
IF t^2 then there would be two answers.
Answer:
One solution
Step-by-step explanation:
To find the amount of solutions, you must solve first:
-8 + t = -t + 10
First, add t to both sides:
-8 + 2t = 10
Add 8 to both sides:
2t = 18
Divide both sides by 2:
t = 9
Since there has been a solution to this equation, that means there's only one solution.
what is this answer.
Answer:
Step-by-step explanation:
is A
A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes.
What expression represents the new position of the submarine in relation to sea level?
–5(12) + 1,260
–1,260 + (–5)(12)
–1,260 + (5)(12)
1,260 – (–5)(12)
Both expressions are equivalent and represent the same result. So the final answer is that the new position of the submarine in relation to sea level is -1,320 feet.
To find the new position of the submarine in relation to sea level, we need to take into account its initial position and the rate at which it descends.
The submarine starts at a depth of -1,260 feet, so this will be our starting point.
We know that the submarine descends at a rate of 5 feet per minute for 12 minutes. To calculate how far it descends in total, we can multiply the rate by the time:
5 feet/minute x 12 minutes = 60 feet
So the submarine descends 60 feet in total. However, since it is descending, we need to subtract this value from the initial depth of -1,260 feet:
-1,260 feet - 60 feet = -1,320 feet
Therefore, the expression that represents the new position of the submarine in relation to sea level is:
-1,260 - (5 x 12) = -1,320
Alternatively, we could also write this as:
-1,260 + (-5 x 12) = -1,320
Both expressions are equivalent and represent the same result. So the final answer is that the new position of the submarine in relation to sea level is -1,320 feet.
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Answer:
Step-by-step explanation:
the answer is B
5. Calculate the number of Liters in 1483g of
NH3 at STP
The number of liters in 1483g of NH3 at STP is 68.44 L
In order to calculate the number of liters in 1483g of NH3 at STP, we can use the following steps;First, calculate the moles of NH3 using the given mass and the molar mass of NH3Molar mass of NH3 (NH3) = 14 + 3(1) = 17 g/molNumber of moles of NH3 = 1483g / 17 g/mol= 87.24 moles of NH3Next, we can use the Ideal Gas Law (PV = nRT)
to calculate the volume of NH3 at STP whereP = pressure = 1 atmV = volume = ?n = number of moles = 87.24 molesR = gas constant = 0.0821 L·atm/(mol·K)T = temperature = 273 K (STP)Now we can rearrange the Ideal Gas Law to solve for volume (V) as follows;V = nRT / P = 87.24 mol × 0.0821 L·atm/(mol·K) × 273 K / 1 atmV = 2021.9 LHowever, this is the volume occupied by 87.24 moles of NH3. To find the volume occupied by 1 mole of NH3, we need to divide by the number of moles as follows;Volume of 1 mole of NH3 = 2021.9 L / 87.24 = 23.19 L/moleFinally, we can use this value to calculate the volume of 87.24 g of NH3 (which is equivalent to 1 mole of NH3) as follows;Volume of 1 mole of NH3 = 23.19 L/moleVolume of 87.24 moles of NH3 = 87.24 × 23.19 L/mole = 2021.9 LTherefore, the number of liters in 1483g of NH3 at STP is 68.44 L (rounded to 3 significant figures).
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What is the equation of this line?
A: y=-2x
B: y = ½x
C: y = -½x
D: y = 2x
Answer:
D
Step-by-step explanation:
when x=1, y should = 2
2(1)=2
so y=2x is correct
Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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Simplify.16 - 8 + 5x - 3x8 + 8 x10 x8 + 2 x16 + 2 x
8 + 2x
Explanation:The given expression is:
16 - 8 + 5x - 3x
Note that:
16 - 8 = 8
5x - 3x = 2x
Therefore:
The expression 16 - 8 + 5x - 3x can be simplified to:
8 + 2x