Step-by-step explanation:
I hope U like my answer and my answer helped U...Prove algebraically that (image). Trigonometric Identities. Please help.
Answer:
Step-by-step explanation:
Two cups of water are used for every 6 cups of flour when making paste. How many cups of flour are needed for 8 cups of water?
Answer:
24 cups of flour
Step-by-step explanation:
good luck
Please help with number 5 Quickly
Answer:
V = 75\(\pi\) or 235.619449... cm / 235.62 cm
Hope this helps!
Step-by-step explanation:
The formula for the volume of a cone is \(V=\frac{1}{3} *h*\pi r^{2}\).
\(V = \frac{1}{3} *9*\pi 5^{2}\) ( Simplify 1/3 and 9 )
\(V=3*25\pi\)
\(V=75\pi\)
V = 235.619449019 or 235.62
What value of x makes the equation below true 5(x − 8) + 26 = −9? A 1 B -1 C 15 D -15
Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
y=−3x+12y=−6x+2
help on number 5 please
Answer:
Definition of a bisector
Step-by-step explanation:
a bisector splits shapes in half.
DIBUJA EN TU CUADERNO 5 POLIGONOS CON SU RESPECTIVO NOMBRE Y DIBUJA SUS DIAGONALES
Interpret the sentence in terms of f, f', and f".
The airplane takes off smoothly. Here, f is the plane's altitude.
The sentence "The airplane takes off smoothly" can be interpreted in terms of the function f, its derivative f', and its second derivative f". In this interpretation, f represents the altitude of the plane, which is a function of time.
The sentence implies that the function f is continuous and differentiable, indicating a smooth takeoff.
The derivative f' of the function f represents the rate of change of the altitude, or the velocity of the airplane. If the airplane takes off smoothly, it suggests that the derivative f' is positive and increasing, indicating that the altitude is increasing steadily.
The second derivative f" of the function f represents the rate of change of the velocity, or the acceleration of the airplane. If the airplane takes off smoothly, it implies that the second derivative f" is either positive or close to zero, indicating a gradual or smooth change in velocity. A positive second derivative suggests an increasing acceleration, while a value close to zero suggests a constant or negligible acceleration during takeoff.
Overall, the interpretation of the sentence in terms of f, f', and f" indicates a continuous, differentiable function with a positive and increasing derivative and a relatively constant or slowly changing second derivative, representing a smooth takeoff of the airplane.
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Please help due today
Answer:
it is the 3rd one
Step-by-step explanation:
Answer:
it's e/g
Step-by-step explanation:
adjacent/hypotenuse
the third option, as stated by someone else, is hypotenuse/adjacent, makig it incorrect
If mZDEF = (7x + 4)", mZDEG = (5x + 1)', and mZGEF = 23", find each
measure.
E
F
D
Angle DEF -
What is x?
Answer:
Yoy answer is x=10
Step-by-step explanation:
We already know what ∠GEF is 23°
so you would have to create an equation like this \(23+(5x+1)=7x+4\)
you add 23+1=24 and get \(5x+24=7x+4\) subtract 5x on both sides
\(24=2x+4\) subtract 4 on both sides
\(20=2x\) divide 2 x=10
∠DEF=7(10)=70+4=74
∠DEG=5(10)=50+1=51
To check 51+23=74
Sonny deposited $8,500 in an account that earns 4% simple interest. If Sonny makes no more deposits or withdrawals, then how much interest will he earn at the end of 2 years? PS-It is not A or D
a. $6,800.00This answer is incorrect.
b. $68,000.00
c. $680.00
d. $9,180.00
Answer:
C
Step-by-step explanation:
We shall be using the formula for simple interest to calculate this
Mathematically;
I = PRT/100
where P is the amount deposited = $8,500
R is the rate = 4%
and T is the time which is 2 years
Plugging these values, we have
I = (8500*4*2)/100 = $680
A figure Quadrant lll was transformed, and the image is in Quadrant IV. Which could NOT have been the transformation.
Answer:
Nvm i think it's D again because there's no way that could work
You can buy 5 stickers for $3. Using this rate, what is the cost for 12 stickers? $6.15 $6.60 $7.02 $7.20
Answer:
$7.20
Step-by-step explanation:
3/5=0.6
0.6*12=7.20
Answer:
$7.20
Step-by-step explanation:
3/5= .60
.60 cents per sticker
.60 * 12 stickers =$7.20
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
Which of the following is an arithmetic sequence?
Answer:
B: 3,0,-3,-6
Step-by-step explanation:
An arithmetic sequence has constant adding or subtracting. In this case, 3 is being subtracted as a constant.
Help ASAP! Find The Area Of A Circle With R =20.5
Answer:
Step-by-step explanation:
Pi*r^2 = Area
20.5^2 * Pi = 1320.25
Problem
Solve for xxx.
5x^2 + 60x + 180 = 05x
2
+60x+180=0
Answer:
x = -6
Step-by-step explanation:
5x² + 60x + 180 = 0
5 x 180 = 900
you need 2 numbers that multiplies into 900 and adds into 60. these numbers are 30 and 30. now we can rewrite it
5x² + 30x + 30x + 180 = 0.
split it in half and factorise
5x(x + 6) + 30(x + 6) = 0
this means the brackets are:
(5x + 30)(x + 6) = 0
5x + 30 = 0
5x = -30
x = -6
x + 6 = 0
x = -6
therefore, x = -6.
start in tokyo. if you travel along the connected edge that has the smallest weight, what will your next vertex be?
The next vertex along the connected edge with the smallest weight, starting from Tokyo, will be determined by considering the weights of all the edges connected to Tokyo and selecting the one with the lowest weight.
To determine the next vertex from Tokyo, we need information about the weights of the edges connected to Tokyo. Each edge represents a connection between two vertices, and the weight associated with an edge indicates the cost or distance between those vertices. By examining the weights of all the edges connected to Tokyo, we can identify the edge with the smallest weight.
In graph theory, this process is known as finding the minimum spanning tree (MST). An MST is a tree that spans all the vertices of a graph with the minimum possible total edge weight. Starting from Tokyo, we can analyze the weights of the edges connected to it and select the edge with the smallest weight. The endpoint of that edge will be the next vertex in the traversal. This process can be repeated iteratively to traverse the graph, always selecting the edge with the smallest weight connected to the current vertex.
Therefore, by considering the weights of the connected edges, the next vertex from Tokyo will be determined by choosing the edge with the smallest weight.
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a die is tossed 180 times with the following results: x 1 2 3 4 5 6 f 28 36 36 30 27 23 is this a balanced die? use a 0.01 level of significance
Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.
We have,
To determine if the die is balanced, we can perform a chi-square test of goodness of fit.
The null hypothesis is that the die is balanced, and the alternative hypothesis is that the die is not balanced.
First, let's calculate the expected frequencies for each outcome assuming the die is balanced. Since there are 180 tosses in total, each outcome is expected to have an equal probability of 1/6.
Expected frequency for each outcome
= (Total tosses) x (Probability of each outcome)
Expected frequency for each outcome = (180) x (1/6)
Expected frequency for each outcome = 30
Now, we can calculate the chi-square test statistic using the formula:
χ² = Σ [(Observed frequency - Expected frequency)² / Expected frequency]
Let's calculate the chi-square test statistic:
χ² = [(28 - 30)² / 30] + [(36 - 30)² / 30] + [(36 - 30)² / 30] + [(30 - 30)² / 30] + [(27 - 30)² / 30] + [(23 - 30)² / 30]
χ² = [(-2)² / 30] + [(6)² / 30] + [(6)² / 30] + [(0)² / 30] + [(-3)² / 30] + [(7)² / 30]
χ² = 4/30 + 36/30 + 36/30 + 0/30 + 9/30 + 49/30
χ² = 134/30
χ² ≈ 4.467
Next, we need to compare the calculated chi-square value to the critical chi-square value at a significance level of 0.01 and degrees of freedom equal to the number of outcomes minus 1 (6 - 1 = 5).
Looking up the critical chi-square value in a chi-square distribution table with 5 degrees of freedom and a significance level of 0.01, we find it to be approximately 15.086.
Since the calculated chi-square value (4.467) is less than the critical chi-square value (15.086), we fail to reject the null hypothesis.
Therefore, we do not have sufficient evidence to conclude that the die is not balanced at a 0.01 level of significance.
Thus,
Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.
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chen and megan each have a set of numbered counters chen has= 1 2 3 4 megan has= 1 2 3 4 5 they each take thier own counters without looking chen says im more likley to get a 4 is he correct? explain your answer
Answer:
Yes, Chen is correct.
Step-by-step explanation:
Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.
1/4 = 0.25
1/5 = 0.20
Therefore, Chen is correct.
What’s this?i don’t know please tell me?
Answer:
Fractions in roman numerals
Step-by-step explanation:
To work this out go to hogwards and ask Harry
Answer:
٠ You must know Arabic numerals to solve this:
• Follow this interpretation:
Arabic → English
١ → 1 ٢ → 2 ٣ → 3 ٤ → 4 ٥ → 5 ٦ → 6 ٧ → 7 ٨ → 8 ٩ → 9 ٠ → 0• So, let's first interprete, solve then we reverse :
\({ \rm{ - 1 \frac{13}{15} + 2 \frac{1}{17} - 3 \frac{2}{19} }} \\ \\ = { \rm{ - \frac{28}{15} + \frac{35}{17} - \frac{59}{19} }} \\ \\ \approx { \rm{ - 3}}\)
Answer: -٣
What is the percent of increase from 10 to 127
Answer:
27
Step-by-step explanation:
127 decrease to 10 is 27
CAN SOMEONE HELP ME PLEASE ASAP!
Step-by-step explanation:
the same factor of one dimension or one line applies then for all dimensions or lines.
the length goes from 16 to 32 cm. that means it doubles.
so, we need to double also the width :
10.5 × 2 = 21 cm
therefore, the first answer option is correct.
a line contains the point (2,3) and has a slope of 1/2 What is the point-slope form of the equation for the line
The point-slope form of the equation for the line is y - 3 =1/2(x - 2)
Point-slope formFrom the question, we are to determine the point-slope form of the equation for the line
The point-slope form of the equation of a line is given by
y - y₁ = m(x - x₁)
Where (x₁, y₁) is a point on the line
and m is the slope of the line
From the given information,
Slope, m = 1/2
and we have the point (2,3)
∴ The point-slope form of the equation for the line is
y - 3 =1/2(x - 2)
Hence, the point-slope form of the equation for the line is y - 3 =1/2(x - 2)
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Suppose you are given the following information: (15 marks)
Q = 200 + 3P
0d = 400 - P
where Q' is the quantity supplied, Qd is the quantity demanded and P is price.
From this information compute equilibrium price and quantity. 6 marks Now suppose that a tax is placed on buyers so that Q° = 400 - (2P + T) where T is taxes. If T = 20, solve for the new
equilibrium price and quantity. (Note: You are solving for the equilibrium price for sellers and buyers).
To find the equilibrium price and quantity, we need to set the quantity supplied equal to the quantity demanded and solve for the price.
Given:
Q = 200 + 3P (quantity supplied)
Qd = 400 - P (quantity demanded)
Step 1: Set Q = Qd
200 + 3P = 400 - P
Step 2: Solve for P
4P = 200
P = 50
Step 3: Substitute P = 50 back into the equations to find the equilibrium quantity.
Q = 200 + 3(50)
Q = 350
Therefore, the equilibrium price is $50 and the equilibrium quantity is 350.
Now, let's consider the case with a tax on buyers.
Given:
Q° = 400 - (2P + T) (quantity demanded after tax)
Step 1: Set Q° = Q (quantity demanded after tax = quantity supplied)
400 - (2P + T) = 200 + 3P
Step 2: Solve for P
5P + T = 200
Step 3: Substitute T = 20 into the equation and solve for P
5P + 20 = 200
5P = 180
P = 36
Step 4: Substitute P = 36 back into the equations to find the new equilibrium quantity.
Q = 200 + 3(36)
Q = 308
Therefore, the new equilibrium price is $36 and the new equilibrium quantity is 308.
The original equilibrium price and quantity are $50 and 350 respectively. After the tax is placed on buyers, the new equilibrium price and quantity become $36 and 308 respectively.
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Jerry has f football cards. He has 18 more baseball cards than football cards. Choose the expression that shows how many baseball cards Jerry has. f f-18,f+18,18-f
The expression that represents the number of baseball cards Jerry has is f + 18.
Let's assume Jerry has f football cards. We are given that he has 18 more baseball cards than football cards. To determine the number of baseball cards, we need to add 18 to the number of football cards. Therefore, the expression f + 18 represents the number of baseball cards Jerry has.
For example, if Jerry has 10 football cards (f = 10), we can substitute this value into the expression: 10 + 18 = 28. So, Jerry would have 28 baseball cards. The expression f + 18 allows us to calculate the number of baseball cards based on the number of football cards Jerry has, with the constant value of 18 representing the additional cards.
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(1 point) find the set of solutions for the linear system −3x1 6x25x2−−5x38x3==9−10 use s1, s2, etc. for the free variables if necessary. (x1,x2,x3)=( , , )
(x1,x2,x3) = (-7, -2, 0).
To find the set of solutions for the given linear system, we will use the substitution method. First, let's rewrite the equations in a more readable format:
-3x1 + 6x2 = 9
5x2 - 5x3 = -10
8x3 = 0
Now, let's solve for one variable in terms of the others. In the third equation, we can easily solve for x3:
x3 = 0
Next, we can substitute this value into the second equation to solve for x2:
5x2 - 5(0) = -10
5x2 = -10
x2 = -2
Finally, we can substitute the values of x2 and x3 into the first equation to solve for x1:
-3x1 + 6(-2) = 9
-3x1 = 21
x1 = -7
So the solution to the linear system is (x1,x2,x3) = (-7, -2, 0). There are no free variables in this system, as all variables have been solved for.
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which function transforms the graph of the parent function f(x)=2^x by reflecting it
The function that transforms the graph of the parent function f(x) = \(2^x\) by reflecting it is the function g(x) = \(-2^x\).
To find the function, follow these steps:
The exponential function is a function of the form \(y = a^x\), where a is a constant greater than 0 and not equal to 1. Reflecting a function about the x-axis means that every point on the graph of the original function is reflected about the x-axis. That is, the image of the point (x, y) after the reflection is the point (x, -y). The function \(f(x) = 2^x\) is the parent exponential function, while the function \(g(x) = -2^x\) reflects the graph of the parent function about the x-axis. To reflect the graph of the function \(f(x) = 2^x\) about the x-axis, we multiply it by -1. Thus, the function that transforms the graph of the parent function \(f(x) = 2^x\) by reflecting it is the function \(g(x) = -2^x\).Hence, the function that transforms the graph of the parent function \(f(x) = 2^x\) by reflecting it is the function \(g(x) = -2^x\).
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Given the points A(1,0,-2) and B(1,1,-2), determinate the ponits on the surface x2 + y2 = z + 5/2 that form a triangle with A and B:
a) Maximum area triangle
b) Minimum area triangle
(Indication: the area of a triangle with vertices A, B, C is given by 1/2 ||AB x AC||. The optimum does not change if instead of using the function || . || we consider the function 2|| . ||2)
a) Maximum area triangle: Points C1(1, 0, -3/2) and C2(1, 0, 5/2) form the maximum area triangle. b) Minimum area triangle: Points C1(1, 0, -3/2) and C2(1, 0, 5/2) form the minimum area triangle.
To determine the points on the surface x² + y² = z + 5/2 that form a triangle with points A(1, 0, -2) and B(1, 1, -2), we need to find the maximum and minimum area triangles.
a) Maximum area triangle:
To find the maximum area triangle, we need to maximize the cross product ||AB x AC||. Let's consider a point C(x, y, z) on the surface.
The vector AB can be calculated as AB = B - A = (1-1, 1-0, -2-(-2)) = (0, 1, 0).
The vector AC can be calculated as AC = C - A = (x-1, y-0, z-(-2)) = (x-1, y, z+2).
The cross product AB x AC can be calculated as:
AB x AC = (1 * (z+2), 0 * (z+2) - (x-1) * 0, 0 * (y) - (1 * (x-1))) = (z+2, 0, -(x-1)).
The square of the magnitude of AB x AC, 2||AB x AC||², is given by:
2||AB x AC||² = (z+2)² + (x-1)².
Now, we need to maximize (z+2)² + (x-1)² subject to the constraint x² + y² = z + 5/2.
Using Lagrange multipliers, let's introduce a new variable λ to the equation:
f(x, y, z, λ) = (z+2)² + (x-1)² - λ(x² + y² - z - 5/2).
Taking the partial derivatives and setting them to zero, we get:
∂f/∂x = 2(x-1) - 2λx = 0 -> (1 - λ)x = 1
∂f/∂y = -2λy = 0 -> λy = 0
∂f/∂z = 2(z+2) + λ = 0 -> z = -2 - λ/2
From the second equation, we have two possibilities
λ = 0, which implies y = 0. Substituting this into x equation, we get x = 1. Substituting these values into the constraint equation, we find z = -3/2.
y = 0, which implies λ = 0 from the x equation. Substituting these into the constraint equation, we find z = 5/2.
Therefore, the two points on the surface that form the maximum area triangle with A and B are C1(1, 0, -3/2) and C2(1, 0, 5/2).
b) Minimum area triangle:
To find the minimum area triangle, we need to minimize the cross product ||AB x AC||. Using a similar approach as above, we set up the Lagrange multiplier equation:
f(x, y, z, λ) = (z+2)² + (x-1)² + λ(x² + y² - z - 5/2).
Taking the partial derivatives and setting them to zero, we get:
∂f/∂x = 2(x-1) + 2λx = 0 -> (1 + λ)x = 1
∂f/∂y = 2λy = 0 -> λy = 0
∂f/∂z = 2(z+2) - λ = 0 -> z = -2 + λ/2
From the second equation, we again have two possibilities:
λ = 0, which implies y = 0. Substituting this into x equation, we get x = 1. Substituting these values into the constraint equation, we find z = -3/2.
y = 0, which implies λ = 0 from the x equation. Substituting these into the constraint equation, we find z = 5/2.
Therefore, the two points on the surface that form the minimum area triangle with A and B are C1(1, 0, -3/2) and C2(1, 0, 5/2).
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Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it