The mass of the second object will be 3.5 kg.
What is momentum?In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity.
According to the collision theory, for a chemical reaction to take place, the reacting particles must come into contact with one another. The frequency of collisions affects the reaction's rate. According to the idea, responding particles frequently encounter without reacting.
The final momentum will be calculated by the expression given below,
(m₁ + m₂ ) V=250
( 1.5 + m₂ 0 x 50 = 250
1.5 + m₂ = 5
m₂ = 5 - 1.5
m₂ = 3.5 kg
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Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2
The answers to each part of the question are mentioned above.
What is parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.The general equation of a parabola is given by -y = a(x – h)² + k or x = a(y – k)² +h.
where - (h, k) denotes the vertex.
Given is the equation of a parabola as -
(x - 1)² = y + 2
We can write the equation as -
y = (x - 1)² - 2
The coordinates of the vertex are : (h, k). So, we can write the coordinates of the vertex as V(1, - 2).The equation of a parabola is -[tex]$y=\frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2} + k[/tex]
We can rewrite the equation of the parabola given as -[tex]$y=\frac{1}{4 \left(\frac{-7}{4} - (-2)\right)} \left(x - h\right)^{2} + k[/tex]
The coordinates of the focus are : (h, f). The coordinates of the focus will be - F(h, f) or F(1, -7/4)The distance from the focus to the vertex is the same as the distance from the vertex to the directrix so -- 2 - (- 7/4) = d - (- 2)
d = - 9/4
The equation of directrix will be :y = d
y = -9/4
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: x = 1
Therefore, the answers to each part of the question are mentioned above.
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(Help me please)
Lin and Noah are packing small cubes into a cube with an edge length of 1½ inches. Lin is using cubes with an edge length of ½ inch, and Noah is using cubes with an edge length of ¼ inch. Who would need more cubes to fill the 1 1/2 inch cube? Show how you know
Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
Noah would need more cubes to fill the 1 1/2 inch cube because the cubes he is using have a smaller edge length than the cubes Lin is using. The larger the edge length of the cubes being used, the fewer number of cubes needed to fill a given space.
To see this, you can calculate the volume of the cube being filled by both Lin and Noah. The cube that Lin is filling has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Lin is using have a volume of (0.5)^3 = 0.125 cubic inches. So, Lin needs 3.375/0.125 = 27 cubes to fill the 1.5 inch cube.
The cube that Noah is filling also has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Noah is using have a volume of (0.25)^3 = 0.03125 cubic inches. So, Noah needs 3.375/0.03125 = 108 cubes to fill the 1.5 inch cube.
As we can see, Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
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It says its wrong. I do not know how to mark you the brainliest
Answer:
A) Angle 2, Angle M
B) Angle M
C) Angle NM (or MN), Angle QM (or MQ)
Step-by-step explanation:
A) So M is the vertex of angle QMP, and the picture tells you that it's angle 2
B) M is the middle angle
C) The diagram shows you the answer
Nick is driving from Brookville to Kansas City, a distance of more than 325 miles, to watch the Bengals play the Chiefs in the playoffs. After driving 75 miles, Nick stops for gas. Write and solve an nequality to determine how much farther Nick has to drive to reach Kansas City.
The distance that Nick has to drive to reach Kansas will be at least 250 miles.
How to illustrate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Since Nick is driving from Brookville to Kansas City, a distance of more than 325 miles and after driving 75 miles, Nick stops for gas.
An inequality to determine how much farther Nick has to drive to reach Kansas City will be:
x > 325 -75
x > 250
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8. Sarah has a cube with a volume of 2,197 cubic centime
of Sarah's cube?
volume of 2,197 cubic centimeters, which square represents the faces
15 cm
25 cm
13 cm
10 cm
The side of the cube, the faces will be 13 cm.
What is cube?
The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.
Sarah has a cube with a volume of 2,197 cubic cm.
side is ∛(2197) =13 cm
So the side of the cube will be 13 cm.
Hence, the side of the cube, the faces will be 13 cm.
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If Brian could have bought exactly 12 pairs with the amount of money that was spent on apples and oranges find the cost of each pair incense in terms of x
Therefore the cost of each pair of incense is 2.4 in terms of x.
Define the unitary method.The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What are ratios and proportions?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Let x be the cost of one pair of incense.
We know that the total amount spent on apples and oranges is the same as the total cost of 12 pairs of incense. Therefore:
(cost of apples + cost of oranges) = 12x
We also know that the cost of the apples is 3x the cost of the incense, and the cost of the oranges is 2x the cost of the incense. Therefore, we can substitute these values into the equation:
(3x + 2x) = 12x
5x = 12x
x = 12/5 or 2.4
So the cost of each pair of incense is 2.4 in terms of x.
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SO MANY POINTS
Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game I or Game II in each part, (a) through (c), gives you a better chance of winning.
Picking a prime number from the integers between 1 and 20
Picking a multiple of from the integers between 1 and 20
Picking a multiple of from the integers between 1 and 40
Answer:
Game 1
Equal chance
Game 2
Step-by-step explanation:
A BETTER CHANCE OF WINNING
Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game I or Game II in each part, (a) through (c), gives you a better chance of winning.
Game I
a.Picking a prime number from the integers between 1 and 20
b.Picking a multiple of 5 from the integers between 1 and 20
c.Picking a multiple of 7 from the integers between 1 and 40
Hint:
Find the percent chance that each event will occur and compare the results.
a.Picking a prime number from the integers between 21 and 40
b.Picking a multiple of 5 from the integers between 1 and 40
c.Picking a multiple of 6 from the integers between 1 and 25
Answer:
Game 1
Equal chance
game 2
For positive acute angles A and B, it is known that tan A = 12/35 and sin B = 9/41. Find the value of cos(A - B) in the simplest form
The simplest form of the value of the trigonometric identity cos(A-B) is
1508/1517.
What is are the trigonometric identities?
Trigonometric Identities are equality conditions that apply to all values of the equation's variables and which require trigonometry functions.
There are numerous unique trigonometric identities that involve both the side length and angle of a triangle. Only the right-angle triangle is valid for the trigonometric identities to work.
cos(A-B) = cosA cosB + sinA sinB
Given,
tan A = 12 / 35
So sin A = 12 / [tex]\sqrt{12^2 + 35^2}[/tex] = 12 / 37
cos A = 35 / 37
Now,
sin B = 9/41
cos B = [tex]\sqrt{1 - sin^{2} B }[/tex] = [tex]\sqrt{1 - (\frac{9}{41} )^{2} }[/tex] = 40/41
Now substituting the above values in the cosine formula
cos(A-B) = cosA cosB + sinA sinB
= (35/37) (40/41) + (12/37) (9/41)
= 1508/1517 = 0.994
Therefore the simplest form of cos(A-B) is 1508/1517.
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Select all the inequalities that have the same graph as x<4
The inequalities that have the same graph as x<4 are:
x+6 < 105x < 20 x-2 > 2Hence, option(B) , (C) and (D) are correct.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
x +6 < 10 ⇒ x < 10-6 ⇒ x < 4
5x < 20 ⇒ x< 20/5 ⇒ x < 4.
x-2 > 2 ⇒ x < 2 + 2 ⇒ x < 4.
Hence, option(B) , (C) and (D) are correct.
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Your question is incomplete but most probably the question was:
Select all the inequalities that have the same graph as x <4.
A. x < 2.
B. x+6 < 10
C. 5x < 20
D. x-2 > 2
E. x <8
WILL GIVE BRIANLIST
:The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F.
What was the average temperature for the day?
Responses
−3°F
negative 3 degrees F
−1°F
negative 1 degrees F
1°F
3°
Answer:
Step by step explanation:
To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).
This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.
Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.
So, your final answer is:
The average temperature for the day was 1°F
The regular polygon below is to be rotated about its center. Which angle of rotation
would carry the figure onto itself?
Answer choices:
324°
150°
225°
300°
The shape of a decagon will remain the same when it is rotated through
its angle of rotational symmetry.
How to find the rotation?
The rotation about the center will carry a regular decagon back to itself is 36°.
Note the following
The angle of rotational symmetry of a decagon is the smallest angle that a decagon can be rotated by such that the image formed by the rotation coincide with the preimage;
A decagon has 10 sides, the interior angle of a regular decagon is given as follows;
Each interior angle = (n-2)*180/10 = 144⁰
A decagon has a reflective symmetry, therefore, the lines of symmetry joining opposite vertices are straight lines.
The number of diagonals in a decagon = 5
Rotating through the vertex and opposite vertex of the diagonals gives the number of image of the rotation that is similar to the preimage of a decagon as ten.
Therefore, a rotation of (360/10) = 36⁰, about the center will carry a regular decagon back to itself.
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Solve for x. each figure is a parallelogram
it's 40 points for the 4
3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )
4.) x =6
5.) x = 10
6.) x = 9
Explanation:
1.) write your equation down 8x + 9 = 131
2.) Subtract +9 from 131. you'll get 122
3.) divide 8x and 122.
4.) Then there's your answer 15.25
you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.
help me pleaseeeeeeeee!!
Answer:
2nd
Step-by-step explanation:
Answer: They are not proportional.
Step-by-step explanation: The numerator is multiplied my 0.5 but the denominator is not.
Find the value of 'x', round to 4 decimal places.
The value of x is 14.7224.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Sin 60° = x/17 ____(1)
Sin 60° = √3/2 _____(2)
From (1) and (2) we get,
√3/2 = x/17
x = 17√3/2
x = 17 x 1.73205 / 2
x = 14.7224
Thus,
The value of x is 14.7224.
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During a football game the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Write and solve an expression that represents the situation.
An expression that describes the given situation is; Total yards = -6 - 5 and the solution is -11
How to solve basic number problems?
In mathematics, a positive number means we have a plus sign before the number which means if we have +2, it means that there has been a gain of 2 units. In a similar manner, a negative number represents a loss which means that if we have -3, it simply means there is a loss or reduction of 3.
Now, we are told that during a football game, the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Thus, using the concept of positive and negative numbers above, we can develop the total number of yards as;
Total yards = -6 - 5
Total yards = - 11 yards
This represents a loss.
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If the sum of n term of an ap is sn = 3n^2+5n writ its common difference
In the given arithmetic progression Common difference is 14.
what is an arithmetic progression?An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).
Given, the n term of ap is Sₙ = 3n² + 5n
Where n is the number of terms
S₁ = 3* 1 + 5*1
S₁ = 8
S₂ = 3 * 4 + 5*2
S₂ = 22
common difference = 22-8
Common difference = 14
therefore, the Common difference in the given AP is 14.
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Determine the missing angle measure.
Answer:
38°
Step-by-step explanation:
We have supplementary angles, which mean they add up to 180°, so we can simply solve for x° by doing 180°-142°=38°
Answer:
X=38 degrees
Step-by-step explanation:
A straight line is 180 degrees so to find the missing part you can do 180-142.
That way you get the missing angle measurement.
In δfgh, g = 64 cm, ∠f=131° and ∠g=47°. find the length of f, to the nearest centimeter.
The length of f = 66 centimeters
What is the sine rule for triangle?It is a law that express a relationship between side length of triangle and their opposite angles.
If ABC is triangle, then sine rule can be expressed as
BC/ sin A = AB /sin C = AC /sin B
How can we determine the length of f of the above triangle?Given, a triangle fgh where angle ∠ f = 131° and ∠g = 47°
also, side length, g = 64 cm
the remaining angle ∠ h = 180° - (131°+47°)
∠h = 2°
this is because angle sum of three angle for a triangle is 180 degrees.
what is the length of f?
we know that Δf g h has three side f g, g h and f h.
we denote the side f g = h, side g h = f and side f h = g
according to the sine rule for a triangle
h/ sin h = f /sin f = g /sin g
f/ sin f = g/ sin g
f / sin 131° = 64 / sin 47°
f = (64 × sin 131°) / sin 47°
f = 66 cm
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If Mr. Brust can bambam 8 jamjams in 12 whamwhams, the how many jamjams can he bambamin 33 whamwhams? (Yes, I know this is weird)
Answer: 22 jamjams in 33 whamwhams
Step-by-step explanation:
33 ÷ 12 = 2.75 = 12 x 2.75 = 33
2.75 x 8 = 22
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
Step-by-step explanation:
Mr. Brust can bambam 8 jamjams in 12 whamwhams.
Mr. Brust can bambam x jamjams in 33 whamwhams.
Use a proportion.
8/x = 12/33
12x = 8 × 33
x = 8 × 33/12
x = 12
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
How to find the slope of a line that goes from (10,40) to (0,0)
a Sin CA-45°) = - 言 √2 (cos A-SinA)
Answer:-√2 sin (45° - A)
Step-by-step explanation:
Professor Curie is using the radioactive isotope Francium-223 in her research. This
isotope has a half-life of 22 minutes, which means that every 22 minutes the sample has
half the radioactivity it did in the previous interval. If Professor Curie has 15 grams of
Francium-223, which explicit formula describes how the isotope decays?
This formula describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved.
Step 1: Start with the formula
N(t) = 15 * (1/2)^(t/22).
Step 2: Substitute the value for N(t). For example, if you want to find the amount of Francium-223 after 44 minutes,
N(44) = 15 * (1/2)^(44/22).
Step 3: Calculate the fraction (1/2)^(44/22). This is equal to (1/2)^2, or 1/4.
Step 4: Multiply the initial amount of Francium-223 (15) by the fraction (1/4). The result is
15 * (1/4) = 3.75 grams.
The formula N(t) = 15 * (1/2)^(t/22) describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved. To calculate the amount of Francium-223 after a certain time, substitute the value for N(t). Then calculate the fraction (1/2)^(t/22) and multiply it by the initial amount of Francium-223 (15). The result is the amount of Francium-223 after the specified time. For example, after 44 minutes, the amount of Francium-223 is 15 * (1/4) = 3.75 grams.
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1. |2x + z| + 2y
a = –2, b = –3, c = 2, x = 2.1, y = 3, and z = –4.2.
2. 4a – |3b + 2c|
Answer:
6 and -13
Step-by-step explanation:
Absolute ValueAbsolute Values are magnitudes (only positive values) of any values (be it positive or negative.)
Example: |4.5| = 4.5, |-6.7| = 6.7
Solution1. |2x + z| + 2y
= |2(2.1) + (-4.2)| + 2(3)
= |4.2 - 4.2| + 6
= 0 + 6
= 6
2. 4a - |3b + 2c|
= 4(-2) - |3(-3) + 2(2)|
= -8 - |-9 + 4|
= -8 - |-5|
= -8 - 5
= -13
If the sum of two consecutive numbers is 23, find them.
The first number is 11 and second number is 12.We can find by solving two consective numbers.
What are Consecutive Numbers in Math?Consecutive numbers are numbers that follow each other in order from the smallest number to the largest number. The difference between consecutive numbers is always fixed and it follows a pattern. For example 1, 2, 3 are the first three consecutive natural numbers.
What is the sum of consecutive?An odd number of consecutive numbers has a whole number as an average. This average is always the middle number. So that means that the sum of the numbers will be Sum = average \times number of consecutive numbers.
Now we find
Let x be a first number and x+1 be a second number.So
x+x+1=23
2x+1=23
2x =23-1
2x =22
x = 11
x+1= 11+1=12
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Please answer quick! The question is in a file down below.
Answer:
perimeter= 9+9π cm
area= 40.5-10.125π cm²
Step-by-step explanation:
area of the square =9x9=81cm²
area of the two semicircles which have the same diameter =area of one circle
= (9÷2)²π =(81÷4)π
area of the whole shaded part = 81- (81÷4)π cm²
the area of each shaded part= (81-(81÷4)π)÷2
= 40.5-10.125π cm²
circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm
then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm
perimeter of each shaded part = (18+18π)÷2=
9+9π cm
Can you pls help me with this
Answer:
y = x - 2
Step-by-step explanation:
Slope intercept form of an equation: y =mx +bHere m is the slope and b is the y-intercept.
Choose any two points on the line.
(2,0) ; (0,-2)
Now, find the slope.
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]= \dfrac{-2 - 0}{0 - 2}\\\\=\dfrac{-2}{-2}\\\\= +1[/tex]
m = 1.
Now, y = 1x + b
The (2 , 0) passes through the line. Substitute x = 2 and y = 0 in the above equation and find the value of 'b'.
0 = 1*2 + b
0 = 2 + b
-2 = b
Equation of line:
y = x - 2
5 parents and 3 children cost £ 13.20
2 parents and 1 child cost £ 5.10
Find the cost of 1 child
Find the cost of 1 parent
Answer:
The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:
Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)
Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)
Hope this helps!
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth
Answer:
25
Step-by-step explanation:
By the Pythagorean Theorem, the sum of the squares of the leg lengths is equal to the square of the hypotenuse:
[tex]a^2+b^2=c^2\\20^2+15^2=c^2\\400+225=c^2\\625=c^2\\25=c[/tex]
Hence, the hypotenuse has a length of 25
GIVING BRAINLIEST AND MANY POINTS FOR ANSWER I BEG PLEASE PLEASE
1. Use the Distributive Property to simplify the expression.
6(5 - q)
Group of answer choices
11 - 6q
11 - q
30 - 6q
1 - q
Answer:
C) 30 - 6q--------------------------
Distributive Property is:
a(b + c) = ab + acApply it to the given expression:
6(5 - q) = 6*5 - 6*q = 30 - 6qThe matching choice is C.
Answer:
[tex] \sf \: c) \: 30 - 6q[/tex]
Step-by-step explanation:
Given expression,
→ 6(5 - q)
Let's simplify the expression,
→ 6(5 - q)
→ 6(5) - 6(q)
→ (6 × 5) - (6 × q)
→ (30) - (6q)
→ 30 - 6q
Hence, option (c) is correct.
In the figure below, N is between M and O, and O is between N and P. If NO=6, NP=8, and MP=16, find MO.
P
A line segment is merely a portion of a line, one with definite ends and a finite length.
What is a line?A line segment is merely a portion of a line, one with definite ends and a finite length. An object with only one dimension, a line has length but no width. A line is made up of several points that are endlessly stretched in the opposing directions. In a two-dimensional plane, it is specified by two points. Collinear points are described as two points that are on the same line.
An endlessly long, two-directional line is referred to as a line. It just has one, and that is length. Collinear points are those that are situated along the same path. Two points make up a line, which is written as follows with an arrowhead: AB.
O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.
Given the following details as:
N is between M and O.
O is between N and P .
NO=6 and NP = 8.
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