From the figure, the triangle ABC is right angled at C and:
\(AB=155,BC=93,AC=124\)Use the trigonometric ratio of tan to get:
\(\tan A=\frac{BC}{AC}\)Substitute the values to get:
\(\tan A=\frac{93}{124}=\frac{3}{4}\)\(\text{Hence tanA=}\frac{3}{4}\)Option C is correct.
What's the meaning of 6, 7, 3, 8, 6, 6, 2, 9, 7
Please answer quick I will give brainliest to the first answer Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work
the base is 20 ft so the triangular base is 69 feet.
A circle has radius 6 units. for each arc length, find the area of a sector of this circle which defines that arc length.
1. 4π units
2. 5π units
3. 10 units
4. l units
Convert 789 grams to kilograms.
7,890 kg
789,000 kg
7.89 kg
0.789 kg
Answer:
0.789 kg
Step-by-step explanation:
We know (by definition) that: 1g = 0.001kg
We can set up a proportion to solve for the number of kilograms.
1g789g = 0.001kgxkg
Now, we cross multiply to solve for our unknown x:
x kg = 789g1g * 0.001 kg → x kg = 0.789 kg
Conclusion: 789 g = 0.789 kg
if y varies directly as x, and y = 3 when x = 9, how will you find x when y = 36?
Answer:
(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Step-by-step explanation:
The equation 3xy = 9 is a linear equation.
Group of answer choices:
True or False
Linear equations are a subset of non-linear equations, and the equation 3xy = 9 is a non-linear equation.
The equation 3xy = 9 is not a linear equation. It is a non-linear equation. Linear equations are first-degree equations, meaning that the exponent of all variables is 1. A linear equation is represented in the form y = mx + b, where m and b are constants.
The variables in linear equations are not raised to powers higher than 1, making it easier to graph them. In contrast, non-linear equations are any equations that cannot be written in the form y = mx + b. Non-linear equations have at least one variable with an exponent that is greater than or equal to 2. Non-linear equations are harder to graph than linear equations.
The answer is false, the equation 3xy = 9 is a non-linear equation, not a linear equation. Non-linear equations are any equations that cannot be written in the form y = mx + b. They have at least one variable with an exponent that is greater than or equal to 2.
Linear equations are a subset of non-linear equations, and the equation 3xy = 9 is a non-linear equation.
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solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
Bessel polynomials are defined recursively as B(0, x) = 1, B(1, x) = x + 1, and for n > 1 : B(n, x) = (2n − 1)xB(n − 1, x) + B(n − 2, x). Use memoization to define a recursive function B which takes on input an int n and a double x. B(n, x) returns a double, the value of the n-th Bessel polynomial at x.
The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use.
Memoization is a technique where we store the results of expensive function calls and return the cached result when the same inputs occur again. Here's a recursive function that uses memoization to calculate the n-th Bessel polynomial at x:
```
memo = {} # Memoization cache
def B(n, x):
if n == 0:
return 1
elif n == 1:
return x + 1
elif (n, x) in memo:
return memo[(n, x)]
else:
result = (2 * n - 1) * x * B(n - 1, x) + B(n - 2, x)
memo[(n, x)] = result
return result
```
The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use. This approach avoids redundant calculations and can significantly speed up the computation of Bessel polynomials for large values of n.
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ca group of volunteers were making masks to donate to hospital. They had 25 yards of fabric each mask required 1/8 yard of fabric. how many masks could the group of volunteers make out of 25 yards of fabric
The group of volunteers can make a total of 200 masks out of 25 yards of fabric.
To calculate the number of masks that can be made, we divide the total amount of fabric (25 yards) by the amount of fabric required per mask (1/8 yard). To do this, we first convert the fraction 1/8 to decimal form, which is 0.125. Then, we divide the total fabric (25 yards) by the fabric required per mask (0.125 yards). This can be done by dividing 25 by 0.125, which equals 200. Therefore, the group of volunteers can make a total of 200 masks out of 25 yards of fabric. Each mask requires 1/8 yard of fabric, so dividing the total fabric by the fabric required per mask gives us the total number of masks that can be made.
Calculation steps:
1. Convert the fraction 1/8 to decimal form: 1/8 = 0.125.
2. Divide the total fabric (25 yards) by the fabric required per mask (0.125 yards):
25 / 0.125 = 200.
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5) A rectangular box 25cm by 20cm by 15cm internally is made of wood
0.5cm thick. If the box has a lid, find the volume of the wood used in cm'.
Answer:
The volume of the wood used is \(1,116\ cm^3\)
Step-by-step explanation:
The Volume of a Rectangular Cuboid
In a rectangular cuboid, all angles are right, and the opposite faces are equal.
The volume of a cuboid of dimensions a,b,c is:
V=a.b.c
The rectangular box is made of wood with externals dimensions of 25 cm by 20 cm by 15 cm.
The external volume of the box is:
\(V_e=(25)*(20)*(15)=7,500\ cm^3\)
The walls of the box are 0.5 thick each, this means that the internal dimensions are 1 cm less than the external dimensions, including the lid.
Thus the internal volume is:
\(V_i=(24)*(19)*(14)=6,384\ cm^3\)
The volume of the wood used is the difference between the external and the internal volumes:
\(V_w=7,500\ cm^3-6,384\ cm^3=1,116\ cm^3\)
The volume of the wood used is \(\mathbf{1,116\ cm^3}\)
can someone help me with my math pels
Answer:
just do that quik mafs
Step-by-step explanation:
A cupcake recipe calls for 3/8tablespoons of salt and 1/4tablespoons of
vanilla. How many tablespoons of salt and vanilla are required?
Answer:
create common denominator
Step-by-step explanation:
1/4 can become 2/8 by multiplying the top and bottom number by 2 now you have a common denominator to add 2/8+3/8 = 5/8
Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?
can you make this into a word problem! thank you!
s(t) = displacement with respect to time s(t) = 2t^2 + 4t^(1/4)+20 v(t) 4t + t^(-3/4) a(t) = 4 -3/4t^(1/2) If given s(t) = 2t^2 + 4t^(1/4)+20 what is the v(t) and a(t)?
Answer:
you need to simplify it then you can say that he had marbles and then lost __ then got ___
A researcher wants to know if a new type of exercise improves people’s health. Would this be a one-tailed or a two-tailed test and why?
a) One-tailed because the study is only interested in whether exercise increases health. b) One-tailed because the study only looks at the effects of exercise and does not take other factors into account. c) Two-tailed because they will have to study healthy and unhealthy people. d) Two-tailed because there is no predicted direction of the difference.
Two-tailed because there is no predicted direction of the difference. The correct answer is D.
In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.
A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.
Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.
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Please help me with my math
Answer:
nmms grbtbtbtbynybybtby
Answer:(5,-1.5)
Step-by-step explanation: So you add the x of both the points together so 3+7=10 and then divide by 2 cause there are 2 numbers. 10/2=5
Same thing with y -4+1=-3 then -3/2=-1.5
So the answer is (5,-1.5)
Express the vector ū = as a linear combination of x = [6 -1] and y = [-5 4] + J.ü = ___x + ___yNote: You can earn partial credit on this problem.
The vector ū = as a linear combination is ū = [7 3] + J[-2 1]
To find the coefficients for the linear combination of x and y, we need to solve the system of equations: a[6 -1] + b[-5 4] = [u1 u2]
where a and b are the coefficients we want to find. Writing out the system of equations explicitly, we have:
6a - 5b = u1
a + 4b = u2
Solving this system gives:
a = (u1 + 2u2)/17
b = (3u1 - u2)/17
Substituting these coefficients into the linear combination, we get:
ū = [(u1 + 2u2)/17][6 -1] + [(3u1 - u2)/17][-5 4]
= [(6u1 + 3u2 - 2u1 + u2)/17][6 -1] + [(-5u1 + 4u2 + 15u1 - 3u2)/17][-5 4]
= [(4u1 + 4u2)/17][6 -1] + [(10u1 + u2)/17][-5 4]
= [7u1/17 + 2u2/17][6 -1] + [-2u1/17 + u2/17][-5 4]
= [7 3] + J[-2 1]
Therefore, the vector ū can be expressed as ū = [7 3] + J[-2 1].
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What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?
Answer:
74
Step-by-step explanation:
\(x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74\)
Y=-5/8x+3/2 in standard form
Answer:
y=0.625
Step-by-step explanation:
Answer:
Sorry about the way it is, I don't know how to fix it But I hope you can try and understand it.
Step-by-step explanation:
y
=
3
8
x
−
3
4
in standard form is
3
x
−
8
y
=
6
.
Explanation:
Standard form for a linear equation is
A
x
+
B
y
=
C
.
y
=
3
8
x
−
3
4
Simplify
3
8
x
to
3
x
8
.
Subtract
3
x
8
from both sides of the equation.
−
3
x
8
+
y
=
−
3
4
Multiply both sides by
−
1
.
−
3
x
8
(
−
1
)
+
y
(
−
1
)
=
−
3
4
(
−
1
)
=
3
x
8
−
y
=
3
4
Multiply both sides by
8
.
(
3
x
)
⋅
8
8
−
y
(
8
)
=
(
3
)
⋅
8
4
=
(
3
x
)
⋅
8
1
8
1
−
y
(
8
)
=
(
3
)
⋅
8
2
4
1
=
3
x
−
8
y
=
6
Question 7 of 24
1 Point
Add.
6x2 -5x +3 +
3x2 + 7 x-8
O A. 9x2 - 2x + 5
O B. 9x2 + 2x - 5
O c. 9x2 + 12x-5
D. 9x2 + 2x + 11
Help me please !!!
Which explicit formula describes the arithmetic
sequence {19, 14, 9, 4, ...}
Answer:
\(a_n=19+(n-1)(-5)\)
Step-by-step explanation:
The explicit formula for an arithmetic sequence is \(a_n=a_1+(n-1)d\) where \(a_n\) is the \(n\)th term and \(d\) is the common difference.
In this problem, we can see that the first term of the sequence is \(a_1=19\) and the common difference is \(d=-5\) since 5 is being subtracted each consecutive term.
Therefore, the explicit formula that describes the given arithmetic sequence is \(a_n=19+(n-1)(-5)\)
Answer:
option 2
Step-by-step explanation:
Let { a1, a2, a3, a4, ... } be the sequence.
now the 1st term (a1) will have a value when n = 1.
similarly, all the other terms will have the values given when we substitute their respective n values into the explicit formula or fibonacci sequence.
thus, check if the 1st term is 19 by using option 2
an = 19 + (n-1)(-5)
an = 19 + (n-1)(-5) ....n = 1
an = 19 + (n-1)(-5) ....n = 1 a1 = 19 + (1-1)(-5) = 19 + 0 = 19. so it's accurate so far.
next, check a2 where n = 2.
a2 = 19 + (2-1)(-5) = 19 - 5 = 14. ....
n = 3
a3 = 19 + (3-1)(-5) = 19 - 10 = 9.
hence the conclusion from this pattern.
which equations have a rate of change greater than the rate of change for the line shown?
Answer:
y = 5x + 3
The line shown has a rate of change of 2, while y = 5x + 3 has a rate of change of 5.
Please helppp, its due today and I have a bunch of other stuff to do!! I would appreciate all the help
Answer:
Step by step
Step-by-step explanation:
1. 0x2=0+5=9
1x2=2+5=7
2x2=4+5=9
the open parts are 3x2=6+5=11
and 17 because 3+14=17
2. do more of random numbers with the equasion 2x+5 and x+14
-4x+6= 6x -2
one solution
infinity solution
no solution
Answer:
There is 1 solution
Step-by-step explanation:
Determine the general solution of the given differential equation that is valid in any interval not including the singular point. x2y" - 3xy 4y= 0 O ycic2 y Cixcos(In|x|) + c2x2 sin(ln |x|) y cilx2 c2lx yx2 (c C2 In]x|) y cixcos(In |x|) + c2x sin(In |x|)
The general solution of the differential equation is:
y = c1 x^2 + c2 x^(2/3) ∑(n=0)^(∞) (1/(3
To solve this differential equation, we can use the method of Frobenius. We assume that the solution has the form:
y = ∑(n=0)^(∞) a_n x^(n+r)
where r is a constant to be determined, and a_n are constants. We can differentiate y to get:
y' = ∑(n=0)^(∞) a_n (n+r) x^(n+r-1)
y'' = ∑(n=0)^(∞) a_n (n+r) (n+r-1) x^(n+r-2)
Substituting these into the differential equation, we get:
x^2 ∑(n=0)^(∞) a_n (n+r) (n+r-1) x^(n+r-2) - 3x ∑(n=0)^(∞) a_n x^(n+r+1) + 4 ∑(n=0)^(∞) a_n x^(n+r) = 0
We can simplify this equation by changing the index of the second sum:
x^2 ∑(n=0)^(∞) a_n (n+r) (n+r-1) x^(n+r-2) - 3x ∑(n=1)^(∞) a_n x^(n+r) + 4 ∑(n=0)^(∞) a_n x^(n+r) = 0
We can now factor out x^(r-2) from the first sum, x^(r+1) from the second sum, and x^r from the third sum:
x^r [a_0 (r^2 - 3r + 4) + ∑(n=1)^(∞) a_n [(n+r)(n+r-1) - 3(n+r) + 4] x^n] = 0
Since x^r ≠ 0 for any finite x, we can divide both sides by x^r and simplify:
a_0 (r^2 - 3r + 4) + ∑(n=1)^(∞) a_n [(n+r)(n+r-1) - 3(n+r) + 4] x^n = 0
This is a power series that must be zero for all x, so each coefficient must be zero. We can start by setting the coefficient of x^0 to zero:
a_0 (r^2 - 3r + 4) = 0
This gives us two possible values for r:
r = 2 and r = 2/3
Now we can set the coefficients of x^n to zero for n ≥ 1. For r = 2, we get:
a_n [(n+2)(n+1) - 6(n+2) + 4] = 0
Simplifying this expression and solving for a_n, we get:
a_n = c1 / n^2
where c1 is a constant of integration. For r = 2/3, we get:
a_n [(n+2/3)(n-1/3) - 3(n+2/3) + 4] = 0
Simplifying this expression and solving for a_n, we get:
a_n = c2 / (3n+1)
where c2 is a constant of integration.
Therefore, the general solution of the differential equation is:
y = c1 x^2 + c2 x^(2/3) ∑(n=0)^(∞) (1/(3
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math question geometry
Answer:
Step-by-step explanation:
Area=7*7=49
?*7=49*2
?*7=98
?=98:7
?=14
will be nice if you give me brainlies.Good luck!
Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.
On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.
What does the term "mathematical operations" mean?The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.
What are the five operations in mathematics?In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Total amount of tea Ray has - 2.671L
Amount of tea Ray poured - 0.47
Therefore,
amount he was left with was = 2.671- 0.47 = 2.201L
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the value of “y” varies directly with “x”. if y= 56, then x= 4
I will give BRAINLIEST:)
Answer:
A'C'=AC=3
Step-by-step explanation:
Answer:
C: 3 units
Step-by-step explanation:
Just think about it... 180 degrees rotated is exactly opposite rotation degree.
If you rotate 90 degrees, the triangle will end up on quadrant 4.
Rotate 360 degrees, the triangle will stay in the same quadrant.
In conclusion, C is the best option
A patient receives 1,200 mL of fluid every 4 hours over the course of 24 hours. How much total fluid does the patient receive in one day ?
Answer: 72,00 mL
Step-by-step explanation: