Answer:
7.3 units
Step-by-step explanation:
We have points
(2,-2) and (-5,-4)
x1- 2 , y1- -2, x2- -5 and y2- -4
d =√(x2-x1)2 + (y2-y1)
=√(-5-2)2 +(-4--2)2
=√(-7)2 + (-2)2
=√49+4
=√53
=7.3 units
Nicholas sold pounds of shrimp in 4 hours. So, he sells shrimp at a rate of pounds of shrimp per hour. At this rate, he would sell pounds of shrimp in 9 hours.
WILL RECIEVE BRAINLIST
Answer:
9 pounds of shrimp will be sold in 9 hours i think.
i dont realy understand the way u wrote it but pls put brainliest
Answer:
yea i thik hes right
Step-by-step explanation:
Stuck on this it's Algebra 2 12x^{3} -3x^{2} =0
Answer:
Exact Form:
x = 0, 1/4
Decimal Form:
x = 0, 0.25
Step-by-step explanation:
Step 1: Factor 3x^2 out of 12x^3 - 3x^2
Factor 3x^2 out of 12x^3:
3x^2 (4x) - 3x^2 = 0
Factor 3x^2 out of -3x^2:
3x^2 (4x) + 3x^2 (-1) = 0
Factor 3x^2 out of -3x^2 (4x) + 3x^2 (-1) :
3x^2 (4x-1) = 0
Step 2: Divide each term by 3 and simpify
divide each term in 3x^2 (4x-1) = 0 by 3.
3x^2 (4x-1) / 3 = 0 / 3
simplify 3x^2 (4x-1) / 3.
Cancel the common factors.
3 x^2 (4x -1) / 3 = 0 / 3
divide x^2 (4x-1) by 1.
x^2 (4x-1) / 3 = 0 / 3
Apply the Distributive Property
Reorder.
Rewrite using the commutative property of multiplication.
4x^2 x + x^2 · -1 = 0 / 3
Move -1 to the left of x^2
4x^2 x -1 · x^2 = 0 / 3
Simplify each term
multiply x^2 by x^2 by adding the exponents.
Move x
4 (x · x^2) -1 · x^2= 0 / 3
Multiply x by x^2
Rase x to the power of 1.
4 (x^1 · x^2) -1 · x^2= 0 / 3
Use the power rule a^m a^n = a^m+n to combine exponents
4x^1+2 -1 · x^2= 0 / 3
Add 1 and 2.
4x^3 -1 · x^2= 0 / 3
Rewrite -1x^2 as -x^2.
4x^3 -x^2= 0 / 3
Divide 0 by 3
4x^3 -x^2= 0
Step 3: Factor x^2 out of 4x^3 -x^2.
Factor x^2 out of 4x^3
x^2 (4x) -x^2 = 0
Factor x^2 out of -x^2
x^2 (4x) x^2 · -1 = 0
Factor x^2 out of x^2 (4x) x^2 · -1
x^2 (4x -1) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x^2 = 0
4x -1 = 0
Set x^2 equal to 0 and solve for x
x = 0
Set 4x -1 equal to 0 and solve for x
x = 1/4
The final solution is all the values that make x^2 (4x-1) = 0 true
x= (0, 1/4)
What is a benefit of obtaining a personal loan?
getting money with special repayment terms
getting money with favorable interest rates
getting small amounts of money
to use immediately
getting large amounts of money to use immediately
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
Option D is the correct answer.
What is a personal loan?A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.
We have,
The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.
However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.
Thus,
The benefit of obtaining a personal loan is getting large amounts of money to use immediately.
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brainlist no bot or link 30 point fast asap
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
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HELP PLEASE URGENT!!!
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 38 meters above the ground?
answer in minutes.
The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.
To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.
The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.
When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.
The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.
To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.
The formula is:
θ = arcsin(h / r)
where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).
θ = arcsin(38 / 29) ≈ 1.0918 radians
Now, we know the angle at which the Ferris wheel is 38 meters above the ground.
To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.
The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.
Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:
Fraction = θ / (2π) ≈ 1.0918 / (2π)
Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:
Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes
Calculating this expression will give us the answer in minutes.
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Which of the following numbers could be the probability of an event? 1, 1.39, -0.53, 0, 0.02, 0.26
Answers:
A) 1D) 0E) 0.02F) 0.26If x is a probability value, then \(0 \le x \le 1\)
A probability of 0 means "impossible" while a probability of 1 means "100% certain".
a) 2(x + 3) = x - 4
B)4(5x-2)=2(9x+3)
Answer:
x = -10
x = 7
Step-by-step explanation:
a)
2(x+3) = x - 4
2x + 6 = x -4
x + 6 = -4
x = -10
b)
4(5x-2) = 2(9x+3)
20x-8 = 18x + 6
2x-8 = 6
2x = 14
x = 7
You are trying to save $20 a week to
buy a new CD player. During the last 4
weeks you have saved $35, $15, $10,
and $12. How much do you need to
save this week to average $20 for the 5
weeks?
Answer:
(35+15+10+12+x)/5=20
Step-by-step explanation:
(72+x)=20
x+72=20
x+72-20
x+52
answer the question in the picture
Answer:
The answer is 692
Step-by-step explanation:
a₁₇ = 72, a₅₁ = 208
aₙ = a + (n-1)d
a₁₇ =a + 16d = 72→ 1
a₅₁ = a + 50d = 208 →2
2-1
34d = 136
d= 4
a₁₇ = a + 16d = 72
72 = a + 64
a = 8
a₁₇₂ = a + (172-1)4
a₁₇₂ = 692
solve pls brainliest
Answer:
x = 45
Step-by-step explanation:
JKL = MKL + JKM
80 = 35 + x
x = 80 - 35
x = 45
I hope I helped you^_^
how can you say the given set A is a subset of another set B?
Answer:
Because all elements in set B can be found in set A
A simple moving average a. is a cumulative breadth measure b. is constructed from various randomly selected interviews of retail investors c. seldom changes in value d. is constructed by totaling a set of data and dividing that total by the number of observations
Answer:
d. is constructed by totaling a set of data and dividing that total by the number of observations
Step-by-step explanation:
Moving average is a method of calculation that is use to analyze the data points by making a series of averages of the various subsets in the full data set. Its another name is rolling average or moving mean.
A simple moving average is constructed by taking the sum of a set of data and then dividing the total by a number of the observations.
Part A: are they all right?
Part B: What is the average rate of change over the interval [-2,0] for the graph?
Answer:
yes all are corect
Step-by-step explanation:
I know becuse i did this before.
A function assigns the value of each element of one set to the other specific element of another set. All the points for the given graph are true. The average rate of change over the interval [-2,0] for the graph is 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
PartA:
For the given graph of the function, the following points are tr,
Domain: (-3, 4]Range: (-3, 3]Increasing: (-3, -1)Decreasing (-1, 4)Positive: (-2, 2)Negative: (-3,-2), (2, 4)Part B: The average rate of change over the interval [-2,0] for the graph is the slope of the line that connects the point of x=-2 and x=0 of the given graph.
Therefore, the slope of the line as shown below in red is,
Slope = (2-0)/(0+2) = 2/2 = 1
Hence, The average rate of change over the interval [-2,0] for the graph is 1.
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A Certain sum of money of simple
interest amount to $$1,300 ire 4 years
and to #11525 in 7 years - Find
the sum and the rate percent
The required rate of simple interest is 1.75%.
Here, we have,
(Principal + Interest) is a straightforward interest equation.
A = P(1 + rt)
Where: A is the sum of the accrued principal and interest.
Principal Amount is P.
I is the interest rate.
r is the annual percentage rate of interest, or R/100.
R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.
Since I = Prt,
the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,
which may be represented as A = P(1 + rt).
Given: Principal is $1,300
Rate is 7% and the amount earned that is A-P is $159.25.
A = P(1 + rt)
Therefore substituting the values in the above mentioned equation, we get:
159.25= 1300(1+r×7)
On solving we get,
r= 1.75%
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complete question:
At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.
What rate of simple interest is offered at the
Blue Bank?
Each table shows a proportional relationship between x and y, Match each table with its constant of proportionality
ху
у
ху
х
y
1 20
2
80
2 0.4
7.5 4,5
2 40
B 320
4 0.8
10
6
3 B0
12 480
9 1.8
17.5 10.5
0.6
0.2
20
40
Have
Answer:
From left to right
20, 40, 0.2, 0.6
Step-by-step explanation:
y/x = k
1st chart
20/1 = 20
2nd chart
80/2 = 40
3rd chart
0.4/2 = 0.2
4th chart
4.5/7.5 = 0.6
1,3,6,10,15,21,28 as a function
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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(a) The number of terms in an arithmetic progression is 40 and the last is -54. Given that the sum of the 15 terms added to the sum of the first 30 terms is zero. Calculate (1) The first term and common difference, (ii) the sum of the progression.
(i) The first term (a) is 24 and the common difference (d) is -2.
(ii) The sum of the progression is 2520.
i) Finding the first term and common difference:
Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).
The nth term formula is: An = a + (n-1)d
Using the given information, we can substitute the values:
-54 = a + (40-1)d
-54 = a + 39d
We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:
S15 + S30 = 0
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values for S15 and S30:
[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0
Simplifying the equation:
15(2a + 14d) + 30(2a + 29d) = 0
30a + 210d + 60a + 870d = 0
90a + 1080d = 0
a + 12d = 0
a = -12d
Substituting this value into the equation -54 = a + 39d:
-54 = -12d + 39d
-54 = 27d
d = -2
Now we can find the value of a by substituting d = -2 into the equation a = -12d:
a = -12(-2)
a = 24
Therefore, the first term (a) is 24 and the common difference (d) is -2.
ii) Finding the sum of the progression:
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values:
S40 = (40/2)(2(24) + (40-1)(-2))
S40 = 20(48 - 39(-2))
S40 = 20(48 + 78)
S40 = 20(126)
S40 = 2520
Therefore, the sum of the arithmetic progression is 2520.
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The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
Please Solve, Thank you!
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
9<2x +7<15? What does X equal
Answer: X = 2
Step-by-step explanation:
2(2)+7 = 11 --> 9<11<15
Hope this helps you :)
Es sobre razones y proporciones.
Gerardo y Daniel tienen monedas coleccionables. Si la relación de las monedas de Gerardo a Daniel es de 15 a 28 y ambas colecciones suman 129 monedas, ¿ Cuántas monedas tienen cada uno?
Answer:
como pongo en español
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
Answer:
Number of year = 11.725 year (Approx.)
Step-by-step explanation:
Given:
Amount invested = $200
Interest rate = 6% (compounded semi annually)
Future value = 2 x Amount invested
Find:
Number of year
Commutation:
Future value = 2 x Amount invested
Future value = 2 x 200
Future value = $400
Number of year (Semi-annual) = 2n
Interest rate (Semi-annual) = 6% / 2 = 3%
So.
A = P[1+r]ⁿ
400 = 200[1+3%]²ⁿ
2 = [1.03]²ⁿ
n = 11.725 year
Number of year = 11.725 year (Approx.)
classify the following set of measurements as accurate, precise, both, or neither. checking for consistency in the weight of chocolate chip cookies: 17.27 g, 13.05 g, 19.46 g, 16.92 g
The dimensions listed above are thus neither exact nor precise.
In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.
It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.
The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.
The dimensions listed above are thus neither exact nor precise.
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Find the range of the function for the given domain: {-4, 0, 4}
f(x)=x²-2
O {-14, 2)
O {-14, 2, 18)
O {-2, 14)
O (-18, -2, 14)
Answer:
{-2,14}
Step-by-step explanation:
f(-4) = f(4) = 14
f(0) = -2
help please please do it quickly thxs
I need help with this problem asap :(
Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50
Find the line integral along the curve C from the origin along the x-axis to the point (6, 0) and then counterclockwise around the circumference of the circle x2 y2
Parameterize C by the two vector functions,
r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)
with 0 ≤ t ≤ 1, and
s(t) = (6 cos(t), 6 sin(t))
with 0 ≤ t ≤ π/2.
Then the line integral over C is equal to the sum of the line integrals over each path:
\(\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt\)
\(\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt\)
\(\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt\)
\(\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}\)