yes, the answer is actually 180
Hallar la velocidad final de un móvil, si este parte con una velocidad inicial de 60 m/s; al cabo de 12 s, si tiene una aceleración de 2 m/s2.
Answer:
84 m/s.
Explanation:
una de las fórmulas que se pueden usar para encontrar la velocidad final de un móvil es v = u + at, donde v es la velocidad final, u es la velocidad inicial, a es la aceleración y t es el tiempo. En este problema, se nos da la velocidad inicial (u = 60 m/s), la aceleración (a = 2 m/s^2) y el tiempo (t = 12 s). Podemos sustituir estos valores en la fórmula y resolver para v. v = u + at v = 60 + 2(12) v = 60 + 24 v = 84 m/s Por lo tanto, la velocidad final del móvil es 84 m/s
Need help with this problem
After dilatation around T with scale factor k, the coordinates of S are (4 + 3k, -3 + 12k).
How to determine dilation?Let the scale factor be k. To find the coordinates of S after dilation about point T with scale factor k, use the following formula:
S' = T + k(S - T)
where S' is the image of S after dilation.
Plugging in the values:
S' = (4, -3) + k[(7, 9) - (4, -3)]
S' = (4, -3) + k(3, 12)
S' = (4 + 3k, -3 + 12k)
Therefore, the coordinates of S after dilation about T with scale factor k are (4 + 3k, -3 + 12k).
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DO THE MATH: The price of corn starts at Pa = $11 per bushel and a quantity
demanded of Qa =
230 bushels. If the price falls to Pb= $7 per bushel, what
is the new quantity demanded (b) if the slope of the demand curve is
m = -1.2 and the y-intercept value b = 287?
answers are listed below!
233.33
185.83
517
182.5
The new quantity demanded at Pb = $7 per bushel is 293.8
How to calculate the valueUsing the given values, we can plug in Pa and Qa to solve for b:
Qa = mPa + b
230 = (-1.2)($11) + b
b = $302.2
Therefore, the equation of the demand curve is:
Q = -1.2P + 302.2
In order to find the new quantity demanded at Pb = $7 per bushel, we can plug in Pb into the demand equation:
Qb = -1.2($7) + 302.2
Qb = 293.8
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50 points
Jessica obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 9.65%. Her loan is for $17,100 for 54 days. Assume each day is 1/365 of a year. Answer each part below.
Do not round any intermediate computations, and round your final answers to the nearest cent.
(a) Find the interest that will be owed after 54 days: $
(b) Assuming Jessica doesn't make any payments, find the amount owed after 54 days: $
since we know a year is 365 days, so then 54 days is just 54/365 of a year.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$17100\\ r=rate\to 9.65\%\to \frac{9.65}{100}\dotfill &0.0965\\ t=years\dotfill &\frac{54}{365} \end{cases} \\\\\\ I = (17100)(0.0965)(\frac{54}{365}) \implies I \approx 244.13~\hfill \underset{ \textit{amount owed} }{\stackrel{ 17100+244.13 }{\boxed{\approx 17344.13}}}[/tex]
The diameter of a circle is 4 m. Find its area to the nearest whole number.
The area of the circle is 12.56 metres squared.
How to find the area of a circle?The circle has a diameter of 4 metres. The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.
Therefore, the area of the circle can be found as follows:
area of the circle = πr²
where
r = radiusHence,
r = 4 / 2
r = 2 metres
area of the circle = 3.14 × 2²
area of the circle = 3.14 × 4
area of the circle = 12.56 metres squared
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Savvas 7-3 practice buddy
The strategy to solve the problem is to select one stack from the near doubles and count them with the doubles. Hence when the 3rd stack is counted with the first two double, 8+6 = 14. This is an addition problem.
What is addition?Addition is simply counting items, number, persons, objects together to that you are no longer looking that their individual numeric value but the numeric sum of the collective whole.
Hence, when we count the first doubles we had 8
counting the penultimate stack, we have 6. Counting 8 and 6 together gives us 14.
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Full Question:
See attached image.
Please help will mark brainiest
Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Step-by-step explanation:
They want you to write an equation using point-slope form.
y-y₁=m (x-x₁)
We can find the slope m from counting
I counted from the red dot to (-400,-200) that looks like the next time it hits the grid perfectly
m= rise/run= 400/500 > divide both top and bottom by 100
m= 4/5 > reduced
point( -900, -600)
y-y₁=m (x-x₁)
y-(-600)=4/5(x-(-900)) >simplify negatives
y+600 = 4/5(x+900) > this is point slope form
You can simplify to y=mx+b slope-intercept, not sure which form they want.
y+600 = 4/5(x+900) >distribute
y+600 = 4/5x + 720 >subtract 600 from both sides
y=4/5x + 120
Help answer me answer this plssp
Answer: for this problem the answer wouldn’t be a fraction it’ll be a single number wish is x will equal to 4
angel found out that sales tax in san antonio texas is 8.25% and sales tax in Toronto Ontario is 13%. If he brought a 600 dollar phone in Toronto instead of san antonio, how much more would he play in sales tax.
X+18=-4 solve the equation
Answer:
x = - 22
Step-by-step explanation:
x + 18 = - 4 ( isolate x by subtracting 18 from both sides )
x = - 4 - 18 = - 22
Answer:
x= -22
Step-by-step explanation:
x + 18 = -4
x = -18-4
x = -22
Will mark brainliest.
The measure of angle x in the circle is 75 degrees.
How to find the arc angle in a circle?If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
99 = 1 / 2 (123 + x)
99 = 123 / 2 + 1 / 2 x
99 - 61.5 = 0.5x
37.5 = 0.5x
divide both sides by 0.5
x = 37.5 / 0.5
x = 75 degrees.
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I need help with this please
The ordered pair that represents the week before is given as follows:
A. (1,7).
How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
In which the coordinates are given as follows:
x is the x-coordinate.y is the y-coordinate.The meaning of each coordinate in this problem is given as follows:
x: chores.y: homework.For the current week, the ordered pair is given as follows:
(5,3).
For the previous week, the total number of hours was the same, that is, 5 + 3 = 8, however with x = 1 and y = 8 - 1 = 7, as only one hour was spent on chores.
Thus option A is correct.
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PV = $250,000 / (1+0.065)^1 + $37,500 / (1+0.065)^2 + $180,000 / (1+0.065)^3 + $300,000 / (1+0.065)^4 + $750,000 / (1+0.065)^5 + $725,000 / (1+0.065)^6
The given expression represents the present value of a series of future cash flows discounted at a rate of 6.5% per year.
Each term in the expression represents a cash flow at a specific time in the future, and the denominator in each term represents the discount factor, which reflects the time value of money.
The first term, $250,000 / (1+0.065)^1, represents a cash flow of $250,000 that will be received in one year.
To determine its present value, we divide it by the discount factor (1+0.065)^1, which reflects the fact that the money will be received one year from now and is, therefore, less valuable than money received today.
Similarly, the second term, $37,500 / (1+0.065)², represents a cash flow of $37,500 that will be received in two years.
To determine its present value, we divide it by the discount factor (1+0.065)²,
which reflects the fact that the money will be received two years from now and is, therefore, less valuable than money received today.
This process is repeated for each term in the expression, representing cash flows that will be received in three, four, five, and six years, respectively.
The sum of these present values represents the total present value of the cash flows or the amount that they are worth today if they are discounted at a rate of 6.5% per year.
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Henry's savings account has an APR of 3.65%, calculates interest daily, and
pays interest at the end of the month. If during the month of November, his
balance was $300 for the first 10 days of the month, $1200 for the next 10
days of the month, and $800 for the last 10 days of the month, how much
total interest did Henry earn in November?
Create a dot plot of the data shown below.
20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24
Which measure of center would best describe a typical
value of the data set? Why?
would be best,
The mean
because the data distribution is
V nearly symmetrical
Intro
Click or tap the number line to add a dot.
20 21
22
23 24 25 26 27 28 29
Reset
Based on the data, the mean would be the best measure of center to describe a typical value in the data set.
How to create a dot plot with the given data?To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.
20 ••
21 ••
22 •
23 ••••
24 •••••
25 ••
26 ••
27 •
The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.
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Bernard
55%
Beautician requests
Submit
Ivan
45%
What is the measure of the central angle in the "Ivan" section?
The measure of the central angle in the "Ivan" section is 162 degrees
Calculating the measure of the central angle in the "Ivan" section?From the question, we have the following parameters that can be used in our computation:
Bernard = 55%
Ivan = 45%
Using the above as a guide, we have the following:
Ivan = Percentage * 360
Where
Angle at the center of a circle = 360
substitute the known values in the above equation, so, we have the following representation
Ivan = 45% * 360
Evaluate
Ivan = 162
Hence, the angle measure is 162 degrees
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Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
I need some assistance with this ?
The three solution of the equation are x= -5/2 or x = 1.25 -2.1651i or x = 1.25 + 2.165i
We have,
8x³ + 125 = 0
Now, simplifying for x we get
(2x)³ + (5)³ = 0
(2x+5) ( (2x)² - (2x)(5) + 5²)= 0
(2x + 5) (4x² - 10x + 25)=0
x = -5/2 or (4x² - 10x + 25)= 0
x= -5/2 or x = 1.25 -2.1651i or x = 1.25 + 2.165i
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Blank is the amount of matter in something contains
Answer:
Mass
Step-by-step explanation:
In science, Mass is defined as the amount od space something takes up or the number of matter something contains. Using those you can find the answer.
Really need help on this one please
Identity four ordered pairs on the graph of the function. f(x)=6/x+1
Answer:To find ordered pairs on the graph of the function, we can substitute different values of x in the given function and calculate the corresponding values of f(x).
Step-by-step explanation:
Here are four examples:
When x = 2, f(x) = 6/(2+1) = 2. So the ordered pair is (2, 2).
When x = -3, f(x) = 6/(-3+1) = -3. So the ordered pair is (-3, -3).
When x = 0, f(x) is undefined because we cannot divide by zero. So there is no ordered pair on the graph for x=0.
When x = 4, f(x) = 6/(4+1) = 6/5. So the ordered pair is (4, 6/5) or (4, 1.2) rounded to one decimal place.
Therefore, four ordered pairs on the graph of the function f(x) = 6/(x+1) are (2, 2), (-3, -3), (4, 1.2), and any value x ≠ 0 would have a corresponding ordered pair.
Evaluate the following logarithmic expression. Evaluate the following logarithmic expression. -5 5 4
The logarithmic expression for the given equation is ln(8th root e^5) = 5/8.
To evaluate ln(8th root [tex]e^5[/tex]) without a calculator, we first use the fact that the 8th root of [tex]e^5[/tex] is equivalent to raising [tex]e^5[/tex] to the 1/8 power. So, we can rewrite ln(8th root [tex]e^5[/tex]) as ln([tex]e^{(5/8)[/tex]).
We know that e is the base of the natural logarithm, so ln(e) = 1.
We can rewrite the expression as:
ln(8th root [tex]e^5[/tex]) = ln([tex]e^{(5/8)[/tex])
Using the property of logarithms that ln([tex]a^b[/tex]) = b ln(a), we get:
ln([tex]e^{(5/8)[/tex]) = (5/8) ln(e)
Since ln(e) = 1, we have:
(5/8) ln(e) = 5/8
Therefore,the equation ln(8th root [tex]e^5[/tex]) = 5/8.
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Your question seems incomplete, the probable complete question is:
Evaluate the following logarithmic expression without the use of a calculator. Write your answer as a fraction reduced to lowest terms. ln(8th root e^5)
4 The list below shows odd jobs that Michael has completed and the amount of
money he earned for each job.
B $240.60
с $228.45
D $143.50
.
Which statan
How much more money does Michael need to earn in order to make at least
$300.00 if he spent $16.75 at the movies and $55.20 on a new game?
A $71.55
Yard work $25.00
Babysitting $33.50
.
• Grade money $20.00
House cleaning $65.00
The amount of money that Michael needs to earn in order to make at least $ 300 is с. $228.45.
How to find the amount needed ?The total amount that Michael has made from his odd jobs is :
= 25 for yard work + babysitting 33. 50 + 20 grade money + house cleaning 65
= $ 143. 50
The amount remaining after spending on the game and movies :
= 143. 50 - 16. 75 - 55. 20
= $ 71. 55
The amount that he needs to earn to get to $ 300 is:
= 300 - 71. 55
= $ 228.45
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math modules, the question is attached
The solutions to f(x) = 3 are given as follows:
x = -4 and x = -1.
How to obtain the solutions of f(x) = 3?When we want to solve a system of equations graphically, we must obtain the point of intersection of the equations that compose the system.
The equations for this problem are given as follows:
y = f(x).y = 3.The graph of the function y = f(x) crosses the horizontal line y = 3 at x = -4 and x = -1, which are the solutions to f(x) = 3.
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Type the correct answer in the box. Spell all words correctly.
What type of object will Darlene get on extruding a polygon of five sides?
Darlene is extruding a polygon of five sides. The end result will be a ________ .
Darlene is extruding a polygon of five sides. The end result will be a pentagonal prism.
What is extrusion ?Extrusion represents a 3D modeling technique that involves extending a two-dimensional shape into a three-dimensional object by pulling it along a given path. In this particular case, Darlene is applying extrusion to a polygon comprising of five sides, thereby stretching out the two-dimensional figure along a trajectory to yield a novel 3D construct.
It is worthy of mention that the structure obtained following the process solely depends on the pathway employed by Darlene in carrying out the extrusion procedure. Should she choose a direct line, the resulting creation will be a prism having five sides i.e. pentagonal prism.
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Name the marked angle in 2 different ways.
UTWV
The two ways to mark the angle TWV are m∠W or m∠TWX.
We have,
The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.
Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.
Now,
Angle TWV can be written as,
m∠W or m∠TWX
Thus,
The two ways to mark the angle TWV are m∠W or m∠TWX.
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Assume: (1) FIT calculated by percentage method; (2) Social Security 6.2% on $128,400; and Medicare 1.45%.Cumulative balance before this payroll is below maximum as related to cumulative earnings in calculating Social Security. (Round your answers to the nearest cent.)
The missing quantities are
Social Security= $217
Medicare = $50.75
Net Pay is $2,633.67
First, Taxable income is therefore;
= 3,500 - (76.90 x 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, the tax is $565.15 plus 28% of anything above $3,073.
= 565.15 + (28% x (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
and, Social Security
= Gross pay x 6.2%
= 3,500 x 6.2%
= $217
and, Medicare
= 3,500 x 1.45%
= $50.75
Then, the Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
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Determine whether C. C, both, or neither can be placed in the blank to make the statement true.
(T. R. C) (T. R. C. V)
Choose the correct answer below.
OOnly C
O Only S
O Both C & C
O None of the above
As
2
CICCERR
The statement "As2C__CERR" can be completed by adding either "O" or "S" between the two carbon atoms "As2CO" and "As2CS" to make a valid chemical formula.
"As2CO" represents the compound dicarbonyl di-σ-carbon, which has two carbon atoms bonded by two double bonds and two oxygen atoms, while "As2CS" represents the compound bis(σ-carbene) diarsene, which has two carbon atoms bonded to two arsenic atoms by two double bonds.
Therefore, both "O" and "S" can be placed in the blank to make the statement true, since they represent valid chemical formulas for different compounds.
In summary, the answer to the question is "Both C & CO" since both "As2CO" and "As2CS" are valid compounds that can be formed by adding either "O" or "S" between the two carbon atoms in the given statement. This is an example of how the placement of different atoms or molecules in a chemical formula can result in distinct compounds with different properties and applications.
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Find the value of x for the following
The values of x for the right triangle are x = 6 or x = -14
How to evaluate the values of x for the triangleThe perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.
x/(2√21) = (2√21)/(x + 8) {opposite/adjacent}
x(x + 8) = (2√21)² {cross multiplication}
x² + 8x = 84
x² + 8x - 84 = 0
by factorization;
x² + 14x - 6x - 84 = 0
(x - 6)(x + 14) = 0
x = 6 or x = 14
Therefore, the values of x for the right triangle are x = 6 or x = -14
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Given v = 4i and w = 2i + 5j find the angle between v and w
The angle between the given vectors v and w is found to be 50.13°.
Using the dot product, v · w = |v| |w| cosθ, first, we need to find the dot product of v and w,
v · w = (4i) · (2i + 5j)
= 8i² + 20ij (since i · j = 0)
= -8 + 20j (since i² = -1)
Next, we need to find the magnitudes of v and w,
|v| = √(4²) = 4
|w| = √(2² + 5²)
|w| = √29
Now we can substitute these values into the dot product formula and solve for θ,
v · w = |v| |w| cosθ
-8 + 20j = 4 √29 cosθ
cosθ = (-8 + 20j) / (4 √29)
θ = cos⁻¹[(-8 + 20j) / (4 √29)]
cosθ ≈ 0.634
θ ≈ 50.13°
Therefore, the angle between v and w is approximately 50.13°.
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