Answer:
(4). is the correct answer
Step-by-step explanation:
(- 3, 1, 1)
(1). - 3 - 1 - 1 ≠ - 2 not an answer...
(2). - 3 - 1 + 3(1) ≠ 2 not an answer...
(3). 4( - 3) + 1 - 3(1) ≠ - 4 not an answer...
(4). 2(- 3) + 3(1) + 4(1) = 1
3(1) + 3(1) = 6
- 3 = - 3(1)
Which is NOT a line of symmetry?
1
2
3
4
_____________________
Answer:
157,500
Step-by-step explanation:
45,000 x 3.5$= 157,500
Lolz i' wrong prolly cuh so my bad g
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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A cylindrical tank with a cross-sectional area of 441 cm squared is filled to a depth of 441 cm with water. At tequals0, a drain in the bottom of the tank with an area of 21 cm squared is opened, allowing water to flow out of the tank. The depth of water in the tank at time tgreater than or equals0 is d(t)equals(21 minus 1.1 t )squared.
At what time is the tank empty?
Score: 0 of 1 pt
11 of 13 (10 complete)
HW Score: 50%, 6.5 of 13 pts
9.4.45
Question Help
A car rental company charges a daily rate of $25 plus $0.30 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $145. How
many miles did you drive?
miles
p
til
fi
t
-
vo
va
(1,1)
More
Enter your answer in the answer box and then click Check Answer
?
Answer:
3335552255442882283222333
My cookbook's pancake recipe states that it makes 12 standard sized pancakes. The nutritional information says 2 pancakes is a serving containing 150 calories. For breakfast, I prepared half a recipe, but made smaller sized pancakes, so ended up preparing 8 pancakes. I ate 4 of them. How many calories did I consume?
Answer:
225 calories
Step-by-step explanation:
1 recipe makes
12 standard sized pancakes
2 pancakes are 1/6 of the recipe
1/6 of the recipe has 150 calories
6 × 150 calories = 900 calories
The full recipe of 12 pancakes has 900 calories
1/2 recipe was made
1/2 recipe has 1/2 × 900 calories = 450 calories
1/2 recipe made 8 pancakes
4 pancakes are half of the half recipe or 1/4 recipe
1/4 × 900 calories = 225 calories
Mr. Chow is buying rolls of paper for the school. This is a list of the suppliers, the size of their rolls, and their cost per roll. Supplier X sells 25 meter rolls for $18.98.
Supplier Y sells 30 meter rolls for $21.89.
Supplier Z sells 40 meter rolls for $29.59.
To the nearest cent, what is the cost per meter for a roll of paper from the LEAST expensive supplier?
A. $0.72 per meter
B. $0.73 per meter
O O O
C. $0.74 per meter
OD. $0.75 per meter
E. $0.76 per meter
Answer:
B.
Step-by-step explanation:
I rounded to the nearest cent and got the cost of 73 cents per meter.
please help need this for my homework!!!
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.
If m ZABD = 75°, what are m ZABC and mZDBC?(5x +4)((8x 7°mZABC=0
The angle ABD is equal to the sum of the angles ABC and DBC:
So:
ABD=ABC+DBC
Where:
ABD=75
ABC=5x+4
DBC=8x-7
Hence:
75=5x+4+8x-7
Add like terms:
75=13x-3
Add 3 to both sides:
75+3=13x-3+3
78=13x
Divide both sides by 13:
78/13=13x/13
6=x
or
x=6
Now, replace the value of x into ABC and DBC:
ABC=5x+4=5(6)+4=30+4=34
DBC=8x-7=8(6)-7=48-7=41
Therefore:
ABC=34°
DBC=41°
You can verify the result:
ABD=ABC+DBC
75=41+34=75
Find the slope of the line graphed below.
Answer:
\(\displaystyle m=\frac{1}{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 1)
Point (2, 2)
Step 2: Identify
x₁ = 0, y₁ = 1
x₂ = 2, y₂ = 2
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points/variables [Slope Formula]: \(\displaystyle m=\frac{2-1}{2-0}\)[Slope] [Fraction] Subtract: \(\displaystyle m=\frac{1}{2}\)7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
2.WHICH OF THE FOLLOWING IS A NON- NUMERIC DATA ? Required to answer. Single choice.
(1) 1,2,3,4,5,6
(2) 2,8,4,5,8
(3) A,B,AB,O
(4) NONE OF THE ABOVE
Answer:
3.) A,B,AB,O
Step-by-step explanation:
Non-numeric data refers to categorical data, or data that is not expressed quantitatively. Answers (1) and (2) contain quantitative data, so they would be eliminated as potential answer choices and therefore (4) would also be eliminated. This leaves answer (3), which does not have quantitative data and is therefore non-numeric.
when an egg is broken from the shell into a frying pan, the probability that the yoke breaks is said to be 1 in 10. If three eggs are fried. what is the probability that no yoke will be broken.
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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-13 = n/9 - 14
it's due in a couple of minutes, pls help me :(
Answer:
\(n = 9\)
Step-by-step explanation:
1) Add 14 to both sides.
\( - 13 + 14 = \frac{n}{9} \)
2) Simplify-13 + 14 to 1
\(1 = \frac{n}{9} \)
3) Multiply both sides by 9.
\(1 \times 9 = n\)
4) Simplify 1 × 9 to 9.
\(9 = n\)
5) Switch sides.
\(n = 9\)
Therefor, the answer is n = 9.
Drag statements and reasons to each row to show why the slope of the line between R and S is the same as the slope between S and T, given that triangles A and B are similar.
For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.
What is the slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
If the slope of the triangles is equal then triangle A is similar to triangle B.
In the statement when we simplify
(5/3)=(15/9),
(5/3)=(5/3),
Then the reason for this statement is "If the slope of triangles are equal"
And the definition of slope in general is m = y/x.
Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.
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The 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. A) if the spring to which it is at- tached has an unstretched length of 3 ft and a stiffness of k-= 10 lb/ etermine the normal force on the collar at this instant. B)Determine the acceleration of the collar at this instant.
The acceleration of the collar at point A is 5 ft/s^2.
A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:
N - 5 = 0
where N is the normal force. Solving for N, we get:
N = 5 lb
B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:
x = L - y = 3 - 0 = 3 ft
where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:
F = kx = 10 lb/ft × 3 ft = 30 lb
The weight of the collar is:
W = mg = 5 lb
where g is the acceleration due to gravity. The net force on the collar is therefore:
Fnet = F - W = 30 - 5 = 25 lb
Using Newton's second law, we can write:
Fnet = ma
where a is the acceleration of the collar. Solving for a, we get:
a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2
Therefore, the acceleration of the collar at point A is 5 ft/s^2.
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You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0. How confident can you be that your predicted value will be reasonably close to the actual value?
I can’t be confident at all; this is about as close to a random guess as you can get.
I can be a little confident; it might be close, or it might be way off.
I can be very confident; it will be close, but it probably won’t be exact.
I can be certain that my predicted value will match the actual value exactly.
With a correlation coefficient of 0, A. I can’t be confident at all; this is about as close to a random guess as you can get.
What is a correlation coefficient?A correlation coefficient measures the strength of the linear relationship between two variables.
Correlation coefficients usually range between -1 to 1, and they show how one variable moves in relation to another.
A positive correlation coefficient indicates that the two variables move uniformly in the same direction, while a negative correlation coefficient shows the opposite.
A zero correlation coefficient shows no linear relationship between the two variables.
Thus, if the correlation coefficient is 0, then Option A is correct.
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Plz help :)))))))))))))))))))))))))))))))))))
Answer:
option 1
Step-by-step explanation:
because the x which is the domain cannot be repeated.
Hope I helped :)
Answer:
the second set of ordered pairs is not a function because they all have 1 at the end
Suppose we are using a Riemann sum with right rectangles to approximate ∫ 05 f(x) dx for some function f(x). Which of the following sums would you expect to give the best approximation? There is not enough information to tell. O a rectangle approximation with Δx=20
O a rectangle approximation with Δx=2
O a rectangle approximation with Δx=0.02
O a rectangle approximation with Δx=0.2
The approximation is: A1 = f(0) * 2, A2 = f(2) * 2, A3 = f(4) * 2, A4 = f(6) * 2.
To calculate the approximate integral using a Riemann sum with right rectangles, we need to calculate the area of each rectangle and then add them all together. The area of each rectangle is given by the formula A = f(x) * Δx, where f(x) is the value of the function at a given x and Δx is the width of the rectangle.
For a rectangle approximation with Δx=20:
Calculate the x-coordinates of the right endpoints of the rectangles:
x1 = 0, x2 = 20, x3 = 40, x4 = 60.Calculate the values of f(x) at each x-coordinate:
f(x1) = f(0), f(x2) = f(20), f(x3) = f(40), f(x4) = f(60).Calculate the area of each rectangle using the formula A = f(x) * Δx, where
Δx = 20: A1 = f(0) * 20, A2 = f(20) * 20, A3 = f(40) * 20, A4 = f(60) * 20.Add up the areas of all the rectangles to get the approximate integral:
∫0 5 f(x) dx ≈ A1 + A2 + A3 + A4.For a rectangle approximation with Δx=2:
Calculate the x-coordinates of the right endpoints of the rectangles:
x1 = 0, x2 = 2, x3 = 4, x4 = 6.Calculate the values of f(x) at each x-coordinate:
f(x1) = f(0), f(x2) = f(2), f(x3) = f(4), f(x4) = f(6).Calculate the area of each rectangle using the formula A = f(x) * Δx, where
Δx = 2: A1 = f(0) * 2, A2 = f(2) * 2, A3 = f(4) * 2, A4 = f(6) * 2.Add up the areas of all the rectangles to get the approximate integral:
∫0 5 f(x) dx ≈ A1 + A2 + A3 + A4, where:
A1 = f(0) * 2, A2 = f(2) * 2, A3 = f(4) * 2, A4 = f(6) * 2.
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is parallel to its base, as in the picture below. What is produced
from this intersection?
OA. A pair of intersecting lines
OB. A point
OC. A pair of parallel lines
OD. A parabola
Answer:
B. A point
Step-by-step explanation:
You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.
VertexThe vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.
The intersection is one point.
__
Additional comment
Figure f in the attachment illustrates this case.
Andre owns a computer backup service. He charges his customers $2.50 for each backup CD. His expenses include $875 for the CD recording equipment and $0.35 for each blank CD. Which equation could Andre use to calculate his profit p for the recording of n CDs?
Answer:
\(p =2.15n - 875\)
Step-by-step explanation:
Given
\(CD_s= n\)
\(Charges = 2.50\) per CD
Expenses
\(E_1 = 875\)
\(E_2 = 0.35\) per CD
Required
The profit (p)
First, calculate the total income on n CDs
\(Total = Charges * n\)
\(Total = 2.50 * n\)
\(Total = 2.50n\)
Next, the expenses on n CDs
\(Expenses = E_1 + E_2 * n\)
\(Expenses = 875 + 0.35 * n\)
\(Expenses = 875 + 0.35n\)
The profit (p) is:
\(p = Total - Expenses\)
\(p =2.50n - (875 + 0.35n)\)
Open bracket
\(p =2.50n - 875 - 0.35n\)
Collect like terms
\(p =2.50n - 0.35n - 875\)
\(p =2.15n - 875\)
Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
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How do you solve for incenter?
The approach for solving for incenter.
Incenter:
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.
Formula for solving incenter:
Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.
and a,b,c are lengths of sides.
I = ((ax1+bx2+x3 / a+b+c , ay1+by2+cy3 / a+b+c))
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Jet and Apollo go to the vet. Jet weighs 9 pounds and 4 ounces and Apollo weighs 11 pounds and 2 ounces. How many more ounces does Apollo weigh?
Hey there,
Please check attached image for answer.
~ Benjemin360
The ratio of girls to boys at basketball practice is 2:3. If there are 12 girls at practice then how many boys are there?
Answer:
18
Step-by-step explanation:
2 goes into 12 six times,
so multiply both sides of 2:3 by six to get 12:18
how to simplify (4i)^2 ?
Answer:
-16
Step-by-step explanation:
Simplify:\((a*b)^m=a^m * b^m\\\)
i² = -1
(4i)² = 4² * i²
= 16 * (-1)
= -16
Let's examine what we know:
\((ab)^x=a^x * b^x\)
So, In the equation: \((4i)^2\)
⇒ is equivalent to ⇒ \(4^2*i^2= 16 * (-1) = -16\)
Answer: - 16
Hope that helps!
Pls fast I need help plsssss
Answer:
ok so u know that all triangles in the inside are equal to 180
Step-by-step explanation:
1. 180-162= 18 angle a is 18, now to solve for b 180-122-18=40, angle b is 40
2.180-171=9 angle a is 9, now to solve for b 180-128-9=43, angle b is 43
3.180-35-22=132 angle c is 132, now to solve for angle d 180-22=158, angle d is 158
4. 180-20-29=131 angle c is 131, now to solve for angle d 180-20=160, angle d is 160
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16