Answer:
47.315 degrees
Step-by-step explanation:
arccos(4/5.9) = 47.315 degrees
I need with this plz
Answer:
1/3
Step-by-step explanation:
Answer:
3,1are right answer. but I ju
St thinking
Write an equation in slope intercept form for each graph shown
Chris's family plans to drive 220 miles to their vacation spot. They would like to complete their drive in 4 hours. Find the average speed in miles per hour needed in order to make the trip in the required time.
Answer:
24.59 m/s
Step-by-step explanation:
Average speed(m/s) = distance travelled(m) / time taken(s)
Distance = 220 miles
220 miles = 354,056 meters
Time taken = 4 hours
4 hours = 14,400 seconds
Average speed = distance travelled / time taken
= 354,056 / 14,400
= 24.59 meter/seconds
= 24.59 m/s
write an algebraic expression for the sum of the cube of a number and 5
Answer:
25
Step-by-step explanation:
there's a cubic root...you cube 5 and make 25
ILL GIVE BRAINLIEST PLEASE ANSWER!
Each point has been reflected over the x-axis or y-axis.
Select the axis over which each point has been reflected.
Answer: x-axis, x-axis, y-axis
Step-by-step explanation:
E(7, 1) ⇒ (7, -1) = x-axis because the y value is changing
F(-3, 5) ⇒ (-3, -5) = x-axis because the y value is changing
G(6, -2) ⇒ (-6, -2) = y-axis because the x value is changing
Rule for reflection
over x axis
(x,y)—»(x,-y)over y axis
(x,y)—»(-x,y)So
#1
4 turned -4
x axis#2
5 turned -5
x axis#3
6 turned -6
y axisIf a^2+b^2=13 and ab =6 find the value of
(i)(2a+2b)
(ii)(2a-2b)
Answer:
I)
\(2a + 2b = -10\text{ or } 2a + 2b = 10\)
II)
\(2a - 2b = -2 \text{ or } 2a-2b= 2\)
Step-by-step explanation:
We are given that:
\(\displaytstyle a^2 + b^2 = 13 \text{ and } ab= 6\)
I)
Recall the perfect square trinomial pattern:
\(\displaystyle (a+b)^2 = a^2 + 2ab + b^2\)
Rewrite:
\(\displaystyle (a+b)^2 = (a^2 + b^2) + (2ab)\)
Substitute:
\(\displaystyle (a+b)^2 = (13) + (12)\)
Evaluate:
\(\displaystyle (a + b)^2 = 25\)
Take the square root of both sides:
\(\displaystyle a + b = \pm\sqrt{25} = \pm5\)
Hence:
\(\displaystyle 2a + 2b = \pm 10\)
Therefore:
\(\displaystyle 2a + 2b = -10 \text{ or } 2a + 2b = 10\)
II)
Likewise:
\(\displaystyle (a-b)^2 = a^2 - 2ab + b^2\)
Substitute:
\(\displaystyle (a-b)^2 = (13) -(12)\)
Solve:
\(\displaystyle \begin{aligned} (a-b)^2 &= 1 \\ a-b &= \pm \sqrt{1} \\ a-b &= \pm 1\\ 2a - 2b &= \pm 2\end{aligned}\)
In conclusion:
\(2a - 2b = -2 \text{ or } 2a-2b= 2\)
I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers
Answer:
{4, 5, 6}, {64, 65, 66}, {124, 125, 126}
Step-by-step explanation:
x = 1st number
x + 1 = 2nd number
x + 2 = 3rd number
{4, 5, 6}, {64, 65, 66}, {124, 125, 126}
The possible set of numbers are {4,5,6}, {64,65,66} and {124,125,126}
What are consecutive number?Consecutive numbers are the numbers which follow each other in order from small to greater number.
Let three consecutive numbers are, x ,x+1 and x+2.
According to given condition,
The first number is a multiple of 4,
The second number is a multiple of 5,
And The second number is a multiple of 6.
Start from 4 and then try to find out sequence,
The numbers can be 4, 5 and 6.
Further, the number can be 64,65 and66
And The numbers can be 124,125 and 126
So, three sets of numbers are {4,5,6}, {64,65,66} and {124,125,126}
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WILL MARK BRAINLY
Which of the following best describes this statement?
Cubic functions have 2 intervals of increase and one interval of decrease.
Sometimes true
Always true
Never true
Answer:
Sometimes true.
Step-by-step explanation:
Let's grab the easiest cubic \(y=x^3\)
It is easy to spot that it's always growing over its domain.
For the statement to be true the cubic need to be in the form
\(y= \frac 13 ax^3 +\frac12bx^2+cx + d\) and \(a>0\) and \(b^2-4ac >0\)
Proof is trivial and it's left as an exercise to the reader. No, I'm joking. A cubic function has a quadratic derivative. You know that the sign of the first derivative determine the increase/decrease of the function, depending on sign. In order to be split the way you want it has to have two separate root and a positive leading coefficient.
Please help me ffuufgigjgjfufjdjfjckcmdhsndjf
Answer:
1/16
Step-by-step explanation:
I usually provide explanations, but I'm pretty sure you need an answer fast. Tell me if you need an explanation!
Answer:
1/16
Step-by-step explanation:
please mark me brainliest
PLEASE BOTH ANSWER
FOR 50 POINTS
Question #9- First Picture
Question #8- Second Picture
Answer: Question # 9: About 17.5 m
Question # 8: 20 m
Step-by-step explanation:
To find the hypotenuse for both figures you have to "add the squares of the other sides, then after that, take their square root.
For # 9 You would add 9² + 15² = 306, √306 = 17.492... so about 14.5
For # 8 the equation would be 16² + 12² = 400, √400 = 20
*Mic Drop*
Slopes. Pls help me with 1-4 tell me the answers thankssss
1. The slope of each object are: a) 0.6. b) 1.375.
2. The slope of the road section is 0.02.
3. No, a wheelchair ramp with a vertical rise of 1.4 m along a horizontal run of 8 m does not satisfy the regulation.
4. The slope of each line segment are: a) 0.6. b) -0.6.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
By substituting the given data points into the formula for the slope of a line, we have the following;
Part 1
Slope of a = 3/5
Slope of a = 0.6
Slope of b = 4.4/3.2
Slope of b = 1.375
Part 2.
Slope of road section = 2.5/152
Slope of road section = 0.0165 ≈ 0.02.
Part 3.
Slope of wheelchair ramp = 1.4/8
Slope of wheelchair ramp = 0.0175 ≈ 0.02.
Part 4.
a) The rise for graph a is 3 units.
The run for graph a is 5 units.
Slope of graph a = 3/5
Slope of graph a = 0.6
b) The rise for graph b is -3 units.
The run for graph b is 5 units.
Slope of graph b = -3/5
Slope of graph b = -0.6
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PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1
Answer:
7:1
Step-by-step explanation:
There are two cubes, one with 14 cm and one with 2 cm. 14:2 is equal to 7:1.
Griffin’s General Store is having a 30% off sale on fans. Robert paid $24. 50 for a fan that was on sale. What is the original price of the fan?.
what is the initial value of y= -3x
\(\sf\longmapsto y=-3x\)
Compare to slope intercept form
\(\sf\longmapsto y=mx+b\)
Rate of change=m=-3y intercept=b=0Initial value
\(\sf\longmapsto y=-3x+0\)
The initial value of the equation is y = -3x + 0.
What is an equation of a line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given equation is y = -3x
Compare the two equations and get the value of the initial equation.
y = mx + c
y = -3x
Here the value of c is 0.
y = -3x +0
Therefore, the initial value of the equation is y = -3x + 0.
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Indentify the segment bisector of RS
Answer: line k is the segment bisector and the distance between RS is 34
hellppppp meeee pleasseee
Answer: -1/4
Step-by-step explanation:
Answer: the answer to your question I believe is d= -1/4 = -0.25
A line of symmetry divides a figure into two equal halves in all aspects. State true or false.
The statement A line of symmetry divides a figure into two equal halves in all aspects is true.
A line of symmetry does indeed divide a figure into two equal halves in all aspects. When a figure has a line of symmetry, it means that if you were to fold the figure along that line, both halves would match exactly. This implies that the two halves of the figure are mirror images of each other, and they are congruent in terms of shape, size, and all other aspects.
The concept of symmetry is widely used in various fields, including mathematics, art, and design. Figures that possess symmetry often have an aesthetically pleasing and harmonious appearance.
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Find all real zeros of the function Y = -9x-1
Answer:
x=-1/9; -1/9; (-1/9,0)
(each one is a different way to write the answer)a
Step-by-step explanation:
Zeros of a function are when the y-value of a point on a graph is equal to 0. Plugging in 0 for y in this equation of the function we get 0=-9x-1, which we can solve by adding 9x to both sides of the equation to get 0+9x=-9x+9x-1, or 9x=-1, and divide both sides by 9 to get x=-1/9
Luigi and Mario are growing plants for a science fair. Luigi's plant grew 11 inches in five days. Mario measured his at one foot three inches in one week. Which student has the fastest growing plants? Show work to justify your answer.
Answer:
Luigi has the fastest growing plant
Step-by-step explanation:
Luigi and Mario are growing plants for a science fair.
Mario measured his at one foot three inches in one week.
1 foot = 12 inches
Hence, the height of Mario's plant in one week
= 12 inches + 3 inches = 15 inches
Luigi's plant grew 11 inches in five days.
7 days = 1 week
5 days = 11 Inches
7 days = x
5x = 7 × 11
x = 77/5
x = 15.4 inches
Which student has the fastest growing plants?
Luigi has the fastest growing plants
This measure of central tendency can be considered the most precise.
a. mode
b. median
c. mean
d. average
This measure of central tendency can be considered the most precise in option c. mean
The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.
The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.
However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.
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What is 8x3+4-3/1x5+6
Answer:
19
Step-by-step explanation: hope this helped :)
Answer:
19
8x3+4-3/1x5+6=
24+4-15/1+6=
24+4-15+6=
19
The point P=(x,1/2 ) lies on the unit circle shown below. What is the value of x x in simplest form?
Answer:
The answer is below
Step-by-step explanation:
A unit circle is a circle on the coordinate plane with a radius of 1 unit. The unit circle center usually lies on the origin.
The equation of a circle is given as:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius of the circle.
As seen in the diagram attached, the center of the circle is at the origin (0, 0) and the circle is a unit circle with a radius of 1. Hence:
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 0)² = 1²
x² + y² = 1
Given the point P(x, 1/2) lies on the circle. To find x, substitute y = 1/2:
x² + (1/2)² = 1
x² + 1/4 = 1
x² = 1 - 1/4 = 3/4
x² = 3/4
x = √(3/4)
\(x=\pm\frac{\sqrt{3} }{2} \\\\Hence\ P=(\frac{\sqrt{3} }{2},\frac{1}{2} )\ or\ P=(-\frac{\sqrt{3} }{2},\frac{1}{2} )\)
If = 63, 11-47, and the angle between and is 180°, find [proj, a. 47 C. 63-√2 b. 2961 d. 63
Given that if = 63, 11-47, and the angle between and is 180°, we need to find [proj.
The dot product of two vectors a and b is given as:
`a.b = |a||b| cos(θ)`
where θ is the angle between the vectors.
Let's calculate the dot product of the given vectors.
a = 63 and b = 11-47,
`a.b = (63) (11)+(-47)
= 656
`Now we can use the formula for the projection of a vector onto another vector:
`proj_b a = (a.b/|b|²) b`
The magnitude of b is `|b| = √(11²+(-47)²)
= √2210`
Therefore, `proj_b a = (a.b/|b|²) b`
= `(656/2210) (11-47)`
= `(-2961/221)`
Thus, the answer is option b. 2961.
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A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?
Answer:
0.75 or 3/4
Step-by-step explanation:
multiply each by 3 equal full cup of milk and 3/4 of water
Answer the answer is 83
Step-by-step explanation:
Question 1 (9 Points): a) Construct the second Taylor's polynomial P_{2}(x) for f(x)=\sin (2 x) , about x_{0}=0 . b) Use P_{2}\left(\frac{\pi}{3}\right) to approximate f\left("
The second Taylor polynomial of a function is a polynomial approximation to that function which is accurate near a particular point x0.
Construct the second Taylor's polynomial P2(x) for f(x)= sin(2x) about x0 = 0
We are to find the second Taylor polynomial for the function f(x) = sin (2x) about the point x0 = 0.
The second derivative of sin(2x) is -4 sin(2x),
so the second Taylor polynomial is given by:
P2(x) = f(x0) + f '(x0)(x - x0) + (1/2!)f ''(x0)(x - x0)²
P2(x) = sin(0) + cos(0)(x - 0) - 2sin(0)(x - 0)²
P2(x) = x - 2x²
Use P2(π/3) to approximate f(π/6)
We haveP2(x) = x - 2x²
Putting x = π/3, we get
P2(π/3) = (π/3) - 2(π/3)²
P2(π/3) = (π/3) - 2(π²/9)
P2(π/3) = (π/3) - (2π²/9)
To approximate f(π/6), we substitute π/6 for x in the original function. We get:
f(π/6) = sin(2(π/6))
= sin(π/3)
Now we use P2(π/3) to approximate sin(π/3):
sin(π/3) ≈ P2(π/3)
= (π/3) - (2π²/9)
≈ (1.05) - (2/3)(3.14)²
≈ 0.6724
We found that the second Taylor polynomial for the function f(x) = sin (2x) about the point x0 = 0 is:
P2(x) = f(x0) + f '(x0)(x - x0) + (1/2!)f ''(x0)(x - x0)²
P2(x) = sin(0) + cos(0)(x - 0) - 2sin(0)(x - 0)²
P2(x) = x - 2x²
We used P2(π/3) to approximate f(π/6) and found that sin(π/3) ≈ P2(π/3) = (π/3) - (2π²/9) ≈ 0.6724
The second Taylor polynomial of a function is a polynomial approximation to that function which is accurate near a particular point x0. The Taylor polynomial can be used to approximate function values near x0.
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what is the answer??
The equation that could represent each of the graphed polynomial function include the following:
First graph: y = x(x + 2)(x - 3)
Second graph: y = x⁴ - 5x² + 4
What is a polynomial graph?In Mathematics and Geometry, a polynomial graph simply refers to a type of graph that touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.
Generally speaking, the zero of a polynomial function simply refers to a point where it crosses or cuts the x-axis of a graph.
By critically observing the graph of the polynomial function shown in the image attached above, we can logically deduce that the first graph has a zero of multiplicity 1 at x = 2 and zero of multiplicity 1 at x = -3.
Similarly, we can logically deduce that the second graph has a zero of multiplicity 2 at x = 2 and zero of multiplicity 2 at x = -2.
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Suppose that you were offered a lottery with a 0.50 probability of winning $500 and a 0.50 probability of winning nothing or a guaranteed payoff of $300. If you choose the lottery, you would be considered O a risk taker O a risk-neutral individual O a risk avoider O a risk-creator
If you choose the lottery, you would be considered a risk taker.
By opting for the lottery with a 0.50 probability of winning $500 and a 0.50 probability of winning nothing, you are demonstrating a willingness to take a chance and accept the uncertainty associated with the potential outcomes. A risk taker is someone who is willing to engage in risky or uncertain situations for the possibility of gaining a favorable outcome. In this case, you are accepting the risk of potentially winning nothing in exchange for the chance to win a larger amount.
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write a system of constraints whose graph is a parallelogram
To create a system of constraints that defines a parallelogram, we need to establish conditions that satisfy the properties of a parallelogram: opposite sides are parallel and equal in length, and opposite angles are congruent.
Here's an example of a system of constraints that represents a parallelogram:
Let's consider a parallelogram with vertices (x, y):
1. Constraint 1: Opposite sides are parallel.
This can be represented by the equation: y = ax + b, where a is the slope and b is the y-intercept.
2. Constraint 2: Opposite sides are equal in length.
This can be represented by the equation: \((x - x_1)^2 + (y - y_1)^2 = (x - x_2)^2 + (y - y_2)^2\) are the coordinates of two opposite vertices.
3. Constraint 3: Opposite angles are congruent.
This can be represented by the equation: \(m_1 = m_2\), where \(m_1\) and \(m_2\) are the slopes of two adjacent sides.
By combining these three constraints, we can define a system of equations that represents a parallelogram. The specific values of a, b, (\(x_1, y_1\)), and (\(x_2, y_2\)) will determine the properties and shape of the parallelogram.
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WILL MARK BRAINLIST PLZZZZZZZZZZZZ HELP
Answer:
multiply the second equation by 2
Step-by-step explanation:
x's have to match, brainlist pleasee
what is the length of the longest possible ladder that can negotiate a turn in a long hallway that is 14 feet wide in one direction but only 8 feet wide in the other perpendicular direction
The length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.
To find the length of the longest ladder, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hallway forms a right-angled triangle, with one side measuring 14 feet and the other side measuring 8 feet.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse (the ladder) as follows:
\(c^2 = a^2 + b^2\)
where c is the hypotenuse (length of the ladder), and a and b are the lengths of the other two sides.
Plugging in the values:
\(c^2 = 14^2 + 8^2\)
\(c^2 = 196 + 64\)
\(c^2 = 260\)
c ≈ √260
c ≈ 16.86 feet
Therefore, the length of the longest possible ladder that can negotiate the turn in the hallway is approximately 16.86 feet.
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