Find the unknown angle
x
4
z
y
The population of a town increases
every year by 8%. If the population in the year 2018 is
1,18,800, what was the population in the year 2017?
Answer:
109,296
Step-by-step explanation
Hi!
What i would do is to divide the original number by 100 to get the one percent and then multiply it by 8 o get the 8%. Then I would minus the 8% from the original number to get the answer:)
kylie uses the number 400 to represent a location 400 miles north of the equator she uses the number- 2000 to represent a location 2000 miles south of the equator which number would represent what number would represent a location on the equator
Answer:
0
Step-by-step explanation:
Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction. Using the direction chart we get the equator is at 0 distance away from the location of kylie.
Given-
Kylie uses the number 400 to represent 400 miles north of the equator.
Kylie uses the number -2000 to show 2000 miles south of the equator.
What is the direction?
Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction.
As Kylie use the number 400 to represent 400 miles north of the equator. Thus if he need to back at 400 towards the south to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.
Similarly Kylie uses the number -2000 to show 2000 miles south of the equator. Thus if he need to come back at 2000 towards the north to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.
Hence both the statement suggest that the equator is at 0 distance away from the location of kylie where he had started earlier.
triangle abc has vertices a(4,5), b(8,9), and c(6,7). what are the vertices of triangle a′b′c′ if triangle abc is translated according to the algebraic description (x, y) → (x 3, y – 2)? question 13 options: a) a′ (7, 5), b′ (11, 9), c′ (9, 7) b) a′ (7, 5), b′ (11, 9), c′ (9, 7) c) a′ (1, 7), b′ (5, 11), c′ (3, 9) d) a′ (7, 3), b′ (11, 7), c′ (9, 5)
The vertices of triangle A'B'C' are A'(7, 3), B'(11, 7), and C'(9, 5). The correct answer is option d) a′ (7, 3), b′ (11, 7), c′ (9, 5).
To find the vertices of triangle A'B'C' after translating triangle ABC, we need to apply the translation rule\((x, y) → (x + 3, y - 2)\) to each vertex.
Starting with vertex A(4, 5), we add 3 to the x-coordinate and subtract 2 from the y-coordinate. This gives us A'(7, 3).
Next, for vertex B(8, 9), we again add 3 to the x-coordinate and subtract 2 from the y-coordinate. This gives us B'(11, 7).
Finally, for vertex C(6, 7), we apply the same translation rule to get C'(9, 5).
Therefore, the vertices of triangle A'B'C' are A'(7, 3), B'(11, 7), and C'(9, 5).
The correct answer is option d) a′ (7, 3), b′ (11, 7), c′ (9, 5).
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25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*
Answer:
-3/4 x -3
Step-by-step explanation:
Put all Answer choice on graph:
-3/4 x -3
-4/3 x - 3
-3/4 x -4
Base on the graphs below:
we can see that -3/4 x -3 is the best represents..
~Lenvy~
Which expressions are equivalent to 2(4f+2g) ?
Answer:
B, C, D
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
2(4f + 2g) = 8f + 4g
C: 8f + 4g
D: 4(2f + g) = 8f + 4g
E: 4f + 4f + 4g = 8f + 4g
23. One way to approximate the value of a definite integral
1- [*f(x) dx =
is to split the interval [a, b] into n equal subintervals, each of length h, defined by the n+1 points x, = a + ih for i=0,1,2,...,n, computing the corresponding function values f(x), and taking a linear combination of these function values.
The composite trapezoidal rule is
I= f(xo) +2+) H
which has an error that is a multiple of h². The composite Simpson rule is
M m-1 1-4 (+4 () +20) +00)) f(x, F
where m n/2 and is assumed to be even. This has an error that is a multiple of h¹.
Write a program that implements these two techniques. The inputs should be a, b,n and the name of a program that evaluates the relevant function f(x). The latter program should input a vector of values x and output a vector of corresponding values y=f(x). Your program should not include any 'for loops.
Use your program to approximate the following integrals and to investigate the above claims concerning the behavior of the errors. Which technique is more accurate for a given cost ?
(1) In(x) dx = 2 In (2) – 1
(i) (1+e* sin(4x)) dx - 2)
The correct answer to the equation result = (h/3) * (y(1) + 4*sum(y(2:2:n)) + 2*sum(y(3:2:n-1)) + y(n+1));
Here's an example MATLAB code that implements the composite trapezoidal rule and the composite Simpson's rule for approximating definite integrals:
% Function to evaluate the relevant function f(x)
function y = evaluateFunction(x)
% Define the function f(x) here
y = log(x); % Example: ln(x)
end
% Composite trapezoidal rule
function result = compositeTrapezoidalRule(a, b, n)
h = (b - a) / n;
x = linspace(a, b, n+1);
y = evaluateFunction(x);
result = (h/2) * (y(1) + 2*sum(y(2:n)) + y(n+1));
end
% Composite Simpson's rule
function result = compositeSimpsonsRule(a, b, n)
h = (b - a) / n;
x = linspace(a, b, n+1);
y = evaluateFunction(x);
result = (h/3) * (y(1) + 4*sum(y(2:2:n)) + 2*sum(y(3:2:n-1)) + y(n+1));
end
% Main program
a = 1; % Lower limit of integration
b = 2; % Upper limit of integration
n = 100; % Number of subintervals
% Approximate the integral using the composite trapezoidal rule
approximation_trapezoidal = compositeTrapezoidalRule(a, b, n);
% Approximate the integral using the composite Simpson's rule
approximation_simpsons = compositeSimpsonsRule(a, b, n);
% Display the results
disp("Approximation using the composite trapezoidal rule:");
disp(approximation_trapezoidal);
disp("Approximation using the composite Simpson's rule:");
disp(approximation_simpsons);
To use this code, you need to define the function you want to integrate within the evaluateFunction function. In this example, the function evaluateFunction is defined to compute the natural logarithm of x.
You can change the values of a, b, and n to approximate different integrals. The n value determines the number of subintervals and can be adjusted to control the accuracy of the approximation.
To investigate the behavior of the errors, you can compare the approximations with the exact values of the integrals if known. You can also experiment with different values of n to observe how the errors decrease as the number of subintervals increases.
The choice of which technique is more accurate for a given cost depends on the specific function being integrated and the desired level of accuracy. Generally, the composite Simpson's rule provides a more accurate approximation than the composite trapezoidal rule for the same number of function evaluations, but it may require more computational resources.
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Someone help me please :(
Answer:
ok, but i can't even see nothing, though ;-;
The diagram shows a 5 cm x 5 cm x 5 cm cube.
A
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
5 cm
L
5 cm
B В
5 cm
Answer:
~8.66cm
Step-by-step explanation:
The length of a diagonal of a rectangular of sides a and b is
\(\sqrt{a^2+b^2}\)
in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:
\(\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}\)
Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths \(a_1, a_2, a_3, \ldots, a_n\) is
\(\sqrt{a_1^2 + a_2^2 + a_3^2 + \ldots + a_n^2}\)
So the solution here is
\(\sqrt{(5cm)^2 + (5cm)^2 + (5cm)^2} = \sqrt{75cm^2} = 5\sqrt{3cm^2} \approx 5\cdot 1.732cm = 8.66cm\)
Answer:
8.7
Step-by-step explanation:
hope this help!
plzzz helpp find the length of arc AD. use 3.14 for pi. round to the nearest tenth
Answer:
15.7 cm
Step-by-step explanation:
Angle AD = 180°- 66.4°= 113.6° (considering 2x90°=180° on opposite side)
P= 2*3.14*7.9=49.6 cm
Arc AD= 49.6*113.6°/360°= 15.7 cm
Answer:
9.2
Step-by-step explanation:
Let’s say that Charlotte wants to have money left over after buying the concert ticket. Complete the statement to write an inequality that represents Charlotte having money left over after buying the ticket.
The inequality that represents Charlotte having money left over after buying the ticket. is
8m + 20 < 68
What is inequality?Inequality is a means of representing the relationship existing between the left hand side and right hand side of equations, using other terms aside exactly using only "equal to"
Having left over means that the the cost of the ticket should be less than the amount Charlotte has
Therefore, 8m + 20 should be less than 68 and this represented by
8m + 20 < 68
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Can someone help me asap? It’s due today!! I will give brainliest if it’s correct
Please show work
The correct generalization about the height of the trees is given as follows:
The IQR is 160 feet. The middle half of cedar trees have heights that vary by 160 feet at most.
How to obtain the interquartile range?The ordered heights of the trees are given as follows:
16, 40, 49, 130, 200, 210.
The data-set is divided into two halves, as follows:
Lower half: 16, 40, 49.Upper half: 130, 200, 210.The quartiles are given as follows:
First quartile -> middle element of the first half -> 40.Third quartile -> middle element of the second half -> 200.The interquartile range represents how much the middle 50% of elements vary, and is the difference of the third quartile by the first quartile, hence:
IQR = 200 - 40 = 60.
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If the Math Olympiad Club consists of 19 students, how many different teams of 3 students can be formed for competitions?
969 teams of 3 students can be formed from 19 students.
This is done using the principles of permutation and combinations.
Thus the number of groups= nCr = n! / (n-r)! x r! Where n is the total number of objects and r is the number of objects in the group which we select. Here students are the objects.
From the given question,
The total number of students n= 19.
The number of students in a group=3.
The total number of groups =nCr
= n! / (n-r)! x r!
= 19!/ 16! x 3!
= 5814/6
= 969.
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State True or False. Justify if the statement is False.
Charles Babbage introduced the concept of zero (0).
please answer fast
Answer:
false. very simple hope it helps
PLSS HELP WITH THSI IMMEDIATELY!!!! i’ll give brainiest if u don’t leave a link.
Answer:
Step-by-step explanation:
All the three sides are equal. So, it is equilateral triangle.
All the angles are less than 90°, so, it is acute triangle
Answer:
it's acute and equilateral
Step-by-step explanation:
five cards are dealt from a standard 52-card deck. (a) what is the probability that we draw 2 aces and 3 kings? (round your answer to six decimal places.)
The probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002. To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck.
The total number of ways to choose 5 cards from a deck of 52 cards is given by the combination formula:
C(52, 5) = 52! / (5! * (52-5)!) = 2598960To find the probability of drawing 2 aces and 3 kings, we need to first find the number of ways to choose 2 aces and 3 kings from the deck. There are 4 aces and 4 kings in the deck, so the number of ways to choose 2 aces from 4 aces and 3 kings from 4 kings is given by:
C(4, 2) * C(4, 3) = 6 * 4 = 24Next, we need to find the number of ways to choose the remaining cards from the deck. There are 44 cards that are not aces or kings, so the number of ways to choose 5 cards from these 44 cards is given by:
C(44, 5) = 44! / (5! * (44-5)!) = 1,533,939Therefore, the total number of ways to draw 2 aces and 3 kings and 5 cards from the deck is:
24 * 1,533,939 = 36,854,536Finally, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is:
36,854,536 / 2598960 = 0.000002 (rounded to six decimal places)Therefore, the probability of drawing 2 aces and 3 kings from a standard 52-card deck is 0.000002.
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A rectangle with vertices M(-7, -2), N(-5, -1), O (-2, -7) and P(-4, -8) is rotated 90 degrees counter clockwise about the origin. What are the new locations of the vertices?
Answer: If the figure is rotated 90 degrees counter clockwise about the origin, ... Triangle LMN has vertices L(-1,4), M(-2,4), and N(-1,-1).
Step-by-step explanation:
90 Degrees
how to solve for examples of nonlevel annuities for which the payments for a pattern that is neither geometric nor arithmetic
The formula that is used to solve for examples of nonlevel annuities for which the payments for a pattern that is neither geometric nor arithmetic is explained below .
In order to solve for the present value or future value of a non-level annuity with payments that do not follow a geometric or arithmetic pattern, We use the formula for the present value or future value of an annuity that has varying payments:
⇒ PV = P₁/(1+r)¹ + P₂/(1+r)² + ... + Pₙ/(1+r)ⁿ
and
⇒ FV = P₁×(1+r)ⁿ⁻¹/(1+r)¹ + P₂×(1+r)ⁿ⁻²/(1+r)² + ... + Pₙ/(1+r)ⁿ
Where : PV = present value of the annuity
FV = future value of the annuity
P₁, P₂, ..., Pₙ = the payments for each period
r = the interest rate per period
n = the number of periods .
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Need help badly, I also need to know how you got the answer.
Answer:
-1/5
y=-1/5 x-8
-1/5 is the slope
Step-by-step explanation:
-1/5
Formula- y=mx+b
The slope-intercept form is
y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Rewrite in slope-intercept form.
Simplify the left side
Simplify each term.
Combine 1/8 and x.
x/9+5y/8=-5
Subtract x/8 from both sides of the equation.
5y/8=-5-x/8
Multiply both sides of the equation by8/5.
8/5.5y/8=8/5(-5-x/8)
Simplify both sides of the equation.
Simplify the left side.
Simplify 8/5.5y/8
y=-x/5-8
y=-1/5 x-8
Step-by-step explanation:
Given equation:
1/8x + 5/8y =-5
Now write it in standard form like ax+by+c=0
1/8x + 5/8y + 5= 0
Now,slope of line (m) = -a/b
here value of a is 1/8 and value of b is 5/8
now by formula..
-(1/8)÷(5/8) = m(slope)
-1/8 × 8/5 = m
-1/5 = m
here ia your answer
a 40-kg crate is being raised with an upward acceleration of 2.0 m/s2 by means of a rope. what is the magnitude of the force exerted by the rope on the crate?
Answer:
472 N
Step-by-step explanation:
You want the force exerted by a rope accelerating a 40 kg crate upward at 2 m/s².
Net forceThe net force on the crate must be ...
F = ma
F = (40 kg)(2 m/s²) = 80 N . . . . upward
Downward forceThe downward force due to gravity is ...
F = ma
F = (40 kg)(9.8 m/s²) = 392 N
TensionThen the force exerted by the rope must be ...
tension - downward force = net force
tension = net force + downward force = (80 N) + (392 N)
tension = 472 N
The force exerted by the rope on the crate is 472 N, upward.
<95141404393>
the magnitude of the force exerted by the rope on the crate is 80 Newtons (N).
To determine the magnitude of the force exerted by the rope on the crate, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m * a
Given:
Mass of the crate (m) = 40 kg
Acceleration (a) = 2.0 m/s²
Substituting these values into the equation, we can calculate the force exerted by the rope:
F = 40 kg * 2.0 m/s²
F = 80 N
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I NEED HELP ASAP please
Answer: The answer is C
Answer:
C
Step-by-step explanation:
This table gives a few (x,y) pairs of a line in the coordinate plane.
x y
-72 25
-54 13
-36 11
What is the y-intercept of the line?
Answer:
The y-intercept of the link is -23.
Step-by-step explanation:
(attached)
2 √3 / √7 - 3 rationalise
Answer:
\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)
the question asks us to rationalise the given expression ! thus , we'll just have to remove the √7 from the denominator by any means.
well , let's start ~
\( \frac{2 \sqrt{3} }{ \sqrt{7 } - 3} \\ \\ \implies \: \frac{2 \sqrt{3} }{ \sqrt{7} - 3} \: \times \: \frac{ \sqrt{7} + 3}{ \sqrt{7} + 3} = \frac{2 \sqrt{21} + 6 \sqrt{3} }{( \sqrt{7) } {}^{2} - (3) {}^{2} } \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{7 - 9} \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{2} \\ \\ \implies \: \frac{\cancel{2}( \sqrt{21} + 3 \sqrt{3)} }{\cancel{2} } \\ \\\bold\red{ \implies \: \sqrt{21 } + 3 \sqrt{3}} \)
hope helpful :D
a helpful rule for converting radians to degrees is
Answer:
Degrees = Radians x 180/π
or
Degrees = 57.2958 x radians
Step-by-step explanation:
1 radian = 180/π degrees
1 radian = 57.2958 degrees
Multiply radians by this factor of 57.2958 to get the equivalent measure in degrees
π radians = 180°
2π radians = 360° which is the number of degrees in a circle
For anything greater than 2π radians you will have to subtract 360°
For example, 7 radians using the formula is 7 x (57.2958 ) ≈ 401.07°
But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°
Solve the quadratic equation 3x? + x-5 = 0
Give your answers to 2 decimal places.
Step-by-step explanation:
for x=5
3×0+5-5=0
0+0=0
i don't know i just tried
The weight w in ounces of n dimes is represented by the equation w =(\(\frac{2}{25}\)n. use the equation to calculate the weight of:
The weight of 5 dimes from the function is 2/5 ounces
How to determine the weight of 5 dimes?The complete question is added at the end of this solution
From the question, we have the following function that can be used in our computation:
w = 2/25n
Also, from the question, we have
n = 5
This is because
Number of dimes = 5
Substitute the known values in the above equation, so, we have the following representation
w = 2/25 * 5
Evaluate
w = 2/5
Hence, the weight is 2/5 ounces
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Complete question
The weight w in ounces of n dimes is represented by the equation w =(n. use the equation to calculate the weight of 5 dimes
Please help, I’ll mark your answer as brainliest.
Answer:
Step-by-step explanation:
PLEASE HELP WILL CHOOSE BRAINIest.
Answer:
It would be C because the original price is 7 and they reduced the price by tow so it would be (7-2)
Step-by-step explanation:
URGENT, PLEASE HELP, I'M WILLING TO GIVE 20+ POINTSS
Answer:
for the following question the answer will be
1/5=0.2 given as example
60%=0.6
50%=1/2
3/4=0.75
for 1/6 there os no answer for it the answer is 0.166
Can someone help me with this math homework please!
Answer:
See step by Step
Step-by-step explanation:
Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.
Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.
Spencer's method:
\(6x - 2 = - 4x + 2\)
\(6x - 2 + 4x= - 4x + 2 + 4x\)
\(10x - 2 = 2\)
\(10x = 2 + 2\)
\(10x = 4\)
\(x = \frac{4}{10} \)
\(x = 0.4\)
Jeremiah's method:
\(6x - 2 = - 4x + 2\)
\(6x - 2 - 6x = - 4x + 2 - 6x\)
\( - 2 = - 10x + 2\)
\( - 2 - 2 = - 10x\)
\( - 4 = - 10x\)
\( \frac{ - 4}{ - 10} = x\)
\(0.4 = x\)
As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.