Answer:
1
Step-by-step explanation:
1+19=20
so only 1 visit is available if they only have $20 to use.
Answer:
1
Step-by-step explanation:
19+1=20
HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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The number of miles Jim runs is directly proportional to the time spent running. If he runs 6 miles in 46.8
minutes, how long will it take him to run 13.1 miles?
Answer:
Step-by-step explanation:
lets approach this answer like:
for every 6 miles he runs 46.8
6:46.8
so now lets set it up as a propotion
6:46.8 = 13.1/x
now we cross multiply
6x=613.08
x = 102 mins
Suppose a certain outlet chain selling appliances has found that for one brand of
stereo system, the monthly demand is 240 when the price is $900. However, when
the price is $850, the monthly demand is 315. Assuming that the demand function
for this system is linear, write the equation for the demand function. Use p for
price and q for quantity. Find equilibrium point as well.
Using p for price and q for quantity, the demand function is; q = -3/2p + 1590
What is the demand function?Given that at;
The monthly demand at a price of $900 = 240
The monthly demand at a price of $850 = 315
We are told that the system is a linear function. Therefore demand function would be in the form of slope intercept form as;
q = mp + c
Where;
q = quantity demanded
p = price
m = slope
c = y-intercept
At a price of $900 with a monthly demand of 240 gives the equation;
240 = 900m + c ---(1)
At a price of $850 with a monthly demand of 315 gives the equation;
315 = 850m+ c ------(2)
Subtracting eqn 2 from 1 gives;
-75 = 50m
m = -75/50
m = -3/2
Substituting m = -3/2 into equation 1;
240= -3/2(900) + c
c = 240 + 3/2(900)
c = 1590
Therefore the demand function can be given as; substituting m and c into equation 5, we have; q = -3/2p + 1590
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Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
how much would $300 invested at 4% interest compounded monthly be worth after 8 years? round your answer to the nearest cent
Answer:
412.92
Step-by-step explanation:
\(A = P(1+\frac{r}{n} )^{nt}\)
A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years
We have P = 300
r = 4% = 0.04
n = 12 (compounded monthly)
t = 8
\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)
Tangents with parametric Curves Find dy/dx and d2y/dx2 for x = e-2t + 4, y = e8t - 6t. Find the equation of the tangent line to the given parametric curve at the point corresponding to the given value of the parameter. x = (t2 - 1)6, y = t cos(pi t) at t = 2 Find the equation of the tangent(s) to the curve at the given point. x = t3 - 4t - 1, y = 3 + et3 - 2t2 - 8t at (-1, 4)
Answer:
The equation of the tangent line to the curve at (-1, 4) is y - 4 =
= (-2e^4/9)(x + 1).
Step-by-step explanation:
First, we need to find dy/dt and dx/dt using the given parametric equations:
dx/dt = -2e^(-2t)
dy/dt = 8e^(8t) - 6
Then, we can find dy/dx by dividing dy/dt by dx/dt:
dy/dx = (dy/dt)/(dx/dt)
dy/dx = [8e^(8t) - 6] / [-2e^(-2t)]
dy/dx = -3e^(10t) + 4e^(2t)
To find d2y/dx2, we need to take the derivative of dy/dx with respect to t and divide by dx/dt:
d/dt(dy/dx) = d/dt[-3e^(10t) + 4e^(2t)]
d/dt(dy/dx) = -30e^(10t) + 8e^(2t)
d2y/dx2 = [d/dt(dy/dx)] / dx/dt
d2y/dx2 = (-30e^(10t) + 8e^(2t)) / (-2e^(-2t))
d2y/dx2 = 15e^(12t) - 4e^(4t)
Next, we can find the point on the curve corresponding to t=2:
x = (2^2 - 1)6 = 30
y = 2cos(pi*2) = -2
To find the equation of the tangent line, we need the slope of the tangent, which is given by dy/dt at t=2:
dy/dt = -2pi sin(pi*2) = 0
Therefore, the slope of the tangent is 0, which means the tangent line is a horizontal line passing through the point (30,-2). The equation of the tangent line is y = -2.
Finally, to find the equation of the tangent(s) to the curve at (-1, 4), we need to find the value(s) of t that correspond to this point. We can set x = -1 and solve for t:
t^3 - 4t - 1 = -1
t^3 - 4t = 0
t(t^2 - 4) = 0
t = 0 or t = ±2
Since the point (-1,4) corresponds to t=2, we can find dy/dt and dx/dt at t=2:
dx/dt = 18
dy/dt = -4e^4
The slope of the tangent is dy/dx, which is given by dy/dt divided by dx/dt:
dy/dx = (dy/dt)/(dx/dt)
dy/dx = (-4e^4)/18
dy/dx = -2e^4/9
So the equation of the tangent line is:
y - 4 = (-2e^4/9)(x + 1)
Therefore, the equation of the tangent line to the curve at (-1, 4) is y - 4 = (-2e^4/9)(x + 1).
helpp meeeeeeee plsssssa
Answer:
10x 8 is 80 so it will be 30+80
how do you write 4.41*
\( {10}^{1} \)
suppose we have a two-dimensional unrestricted symmetric random walk starting from the origin. let r n be the distance of the moving particle from the origin after the nth step. find e[r {n^2}]
Expression would be,
\(E[r_n^2] = \sum \ x^2 * (n choose x) * (1/4)^x * (3/4)^(n-x)\)
What is Unrestricted symmetric ?
The unrestricted, one-dimensional, symmetric random walk represented as Pascal's triangle.
In a two-dimensional unrestricted symmetric random walk, the particle moves in one of four directions (up, down, left, or right) with equal probability at each step. The distance of the particle from the origin after the nth step, \(r_n,\) is given by the square root of the sum of the squared x and y coordinates of the particle at that time.
The expected value of\(r_n^2\), denoted as \(E[r_n^2]\), is given by:
\(E[r_n^2] = \sum\ P(r_n^2 = x^2) * x^2\)
where the sum is taken over all possible values of \(x^2\).
Since the particle moves with equal probability in each of the four directions, we can calculate the probability that the particle is at a particular x and y coordinate using the binomial distribution:
\(P(x, y) = (n \ choose\ x) * (1/4)^x * (3/4)^(n-x)\)
Substituting this expression into the formula for \(E[r_n^2]\) and summing over all possible values of x and y, we get:
\(E[r_n^2] = \sum \ x^2 * (n choose x) * (1/4)^x * (3/4)^(n-x)\)
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Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 618 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is given as follows:
z = 4.47.
How to obtain the test statistic?The equation to calculate the test statistic using the z-distribution is given as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion.p is the expected value.n is the sample size.The parameters for this problem are given as follows:
\(\overline{p} = 0.59, p = 0.5, n = 618\)
p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.
Then the test statistic is obtained as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)
z = 4.47.
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Can someone please help me!!!!! -0987
Answer:
I can if you post the question...
Step-by-step explanation:
disfranchisement was a key tool used by the south to maintain white supremacy in the post-reconstruction era. states implemented a variety of measures aimed at preventing african americans from voting, including poll taxes, literacy tests, and grandfather clauses. these measures were often selectively enforced and targeted at african americans, effectively disenfranchising them and preventing them from participating in the political process. the result was a period of political dominance by white southern democrats that lasted for decades, effectively shutting african americans out of political power, and keeping them in a state of social and economic inequality.
Black American voters in the Southern states were routinely denied the right to vote during the post-reconstruction era in the United States.
The white Southern Democrats made a conscious and concerted attempt to prevent African Americans from acquiring any form of political influence in the area and to maintain their political dominance. This article will look at the numerous strategies used by Southern states to deny Black Americans the right to vote, how they affected the political and social climate of the area, and the lasting effects of this practice.
Steps Against Disenfranchisement
Several barriers were put in place by southern states to keep African Americans from casting ballots. They included grandfather clauses, literacy assessments, and poll levies.
African People were frequently singled out for enforcement of the literacy tests, which had intentionally ambiguous and challenging questions. The grandfather clauses essentially allowed white voters to avoid the other enfranchisement measures by exempting anyone whose ancestors had been entitled to vote before the Civil War.
Influence on the political and social climate
These actions had a substantial effect. Black Americans were essentially excluded from the political system, which led to a long era of white Southern Democrats' political domination.
Due to their inability to participate in politics, African Americans where had little influence over the laws and regulations that governed their daily life.
Disenfranchisement's legacy
This era's influence can still be seen today. The disenfranchisement of African American voters had far-reaching effects that still influence American politics and society today.
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Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.
∑[infinity]n=17n2−4n+3
12+2n6
Answer:
It means \(\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}\) also converges.
Step-by-step explanation:
The actual Series is::
\(\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}\)
The method we are going to use is comparison method:
According to comparison method, we have:
\(\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n\)
If series one converges, the second converges and if second diverges series, one diverges
Now Simplify the given series:
Taking"n^2"common from numerator and "n^6"from denominator.
\(=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}\)
\(\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}\)
Now:
\(\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}\)
So a_n is finite, so it converges.
Similarly b_n converges according to p-test.
P-test:
General form:
\(\sum_{n=1}^{inf}\frac{1}{n^p}\)
if p>1 then series converges. In oue case we have:
\(\sum_{n=1}^{inf}b_n=\frac{1}{n^4}\)
p=4 >1, so b_n also converges.
According to comparison test if both series converges, the final series also converges.
It means \(\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}\) also converges.
The top most point of a pyramid is at the center of a cube The height of a cube is 10 inches what is the volume of the square pyramid inside the cube?
Answer:
166.67 in³
Step-by-step explanation:
If the top of the pyramid is at half of the height of 10 cm tall cube, the height of the pyramid (h) is 5 inches.
Assuming that the base of the pyramid is the same as the base of the cube, the volume of the square pyramid is given by:
\(V=\frac{1}{3}*B*h\)
Where B is the area of the square base:
\(V=\frac{1}{3}*(10*10)*5\\ V=166.67\ in^3\)
The volume of the square pyramid inside the cube is 166.67 in³.
Ashley is training to run a marathon. On Monday, she runs 21 miles in 3 hours. On Wednesday, she runs 10 1/2 miles in 1 1/2 hours. What is the constant of proportionality in miles per hour?
Answer:
10.5 mph
Step-by-step explanation:
To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.
For Monday's run:
Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour
To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour
Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.
Rearrange the equation so uuu is the independent variable.
-12u+13=8w-3
Step-by-step explanation:
\( - 12u + 13 = 8w - 3 \\ - 12u + 13 + 3 = 8w \\ - 12u + 16 = 8w \\ w = \frac{ - 12u + 16}{8} \\ w = \frac{ - 3}{2} u + 2\)
I hope that is useful for you :)
Find the value of n in each of the following proportions.
1. 18/n = 21/28
2. 12/16 = n/64
Answer:
24
Step-by-step explanation:
18/n = 21/28 You can cancel, but calculators make that unnecessary. Cross multiply
21n = 18 * 28
21n = 504 Divide by 21
n = 504 / 21
n = 24
==================
12/16 = n / 64 Cross Multiply
16n = 12 * 64
16n = 768 Divide by 16
n = 768/16
n = 48
Determine the number of zeros of the polynomial function.
f(x) = x3 + 3x2 + 2
Answer:
3
Step-by-step explanation:
the fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.
f(x) = x³ + 3x² + 2 ← is a polynomial of degree 3
Then number of zeros is 3
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
What’s
1.7a + 0.3a = 0.8
Please explain step by step to get picked brainliest!
1.7a+0.3a=0.8
2a=0.8
a=0.4
HELLLLPPPP PLZ.WILL GIVE BRAINLIEST
Lock #1 Answer the question below to UNLOCK the next room. (TYPE THE WORD: ALL
CAPS)
LOCK #1
Answer the question below to UNLOCK the
next room. (TYPE THE WORD; ALL
CAPS)
What is the coefficient in front of a variable
by itself?
Your answer
O Try Again!
Answer:
UNLOCK
UNLOCK
A normal number
Answer:The answer is ONE
Step-by-step explanation:
Is 170 1/10 of 17? True or false?
Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec
Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:
D. -16 ft/sec
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:
r = -48 ft/3 s = -16 ft/s
Hence option D is correct.
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Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth
The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.
What is the volume of the given cylinder?It follows from the task content that the volume of the cylinder which is as represented is to be determined.
Since the volume of a cylinder is;
V = 2πr²h
where r = 10 and h = 25.
V = 2π × 10² × 25.
V = 5000π.
Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.
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Helppppp Pleaseeeeeee
Answer:
what is the question
Step-by-step explanation:
Three large cones hang from the ceiling in an office building in front of a bank of windows. The height of each cone is 12 feet and the circumference of the base of each cone is 8n feet. The base and 70% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.
The total surface area painted black = 56.5 square feet to the nearest tenth.
What is a cone?A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.
Given that, three large cones hang from the ceiling in an office building in front of a bank of windows.
The height of each cone is 12 feet, and the circumference of the base of each cone is 8π feet.
The base and 40% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.
Circumference of the base of the cone = 8π feet.
2πr = 8π
πr = 4π
The surface area of the cone = πr x slant height
Slant height = \(\sqrt{radius^2+height^2}\)
= √12²+4² = 12.6 ft
The surface area of the cone = 12.6 x 4π
The surface area of the cone = 60π.
The lateral surface area painted black = 30% of 60π.
Therefore, The total surface area painted black = 56.5 square feet to the nearest tenth.
Hence, the required area is 56.5 square feet.
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The Monday relates to the Thursday so than, the Friday relation the ….? A: Tuesday B : Saturday C : Sunday D: Monday E:
Wednesday
Answer:
The correct answer is B: Saturday.
The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.
1. Solve the equation for x.
6 = -8
X =
(Use the value of x in the sum )
Answer:
The equation does not have a variable
Step-by-step explanation:
6=?-8
Answer: The equation does not have a variable to solve for x
Hope this helps.
Answer:
6÷8=0.75
Step-by-step explanation:
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