===========================================================
Explanation:
Let's name the friends A, B, C
If person A is first, then B or C could be second and third.
So we have ABC or ACB as two possible outcomes.
If B is first, then either A is second or C is second. Meaning we have BAC or BCA.
If C is first, then we have CAB or CBA
Overall here are the 6 different ways to have the runners finish
ABC ... A is firstACB ... A is firstBAC ... B is firstBCA ... B is firstCAB ... C is firstCBA ... C is firstNote how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.
We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".
Another example of a factorial is:
5! = 5*4*3*2*1 = 120
pleaseee help me! :(
Answer:
x=72°
Step-by-step explanation:
given,
DEF=216°
DF =360-216
144°the value of x=144/2( inscribed angle is half of its arc)
72°stay safe healthy and happy....What is the length of AB??
Answer:
i took my ruler and i would say that AB is about an inch long
Step-by-step explanation:
HELP ASAP TEST IS ONLY 45 MINUTES
Solve the inequality. x – 3 < -2
a) x > 1
b) x < 1
c) x > 1
d) x < 1
Answer:
x<1 [the answer is positive, not negative btw]
I think you forgot to put the negative sign for two of the answer choices..
Step-by-step explanation:
answer is x<1
Step-by-step explanation:
x is less than 1
Help please! Using the Counting Principle, determine how many outcomes are possible.
A car comes in 7 different colors, 4 different interior packages, and 4 different tire types.
Answer:
112
Step-by-step explanation:
7 x 4 x 4 = 112
112 unique outcomes
dèez nuts in your mouth lol
Answer:
free
Step-by-step explanation:
points .-.
6. help me out please ill mark you brainlist
Answer:
w = 5
Step-by-step explanation:
Combining like terms is a very important part to this equation!
5.2w - 1.4 = 3.2w + 8.6
I added 1.4 to the right side first, though you must do it to the left side of the equation as well
5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)
5.2w = 3.2w + 10
Combine the remaining like terms. I subtracted 3.2w from both sides.
5.2w + (-3.2w) = 3.2w + (-3.2) +10
2w = 10
Now divide
2w = 10
w = [tex]\frac{10}2}[/tex]
w = 5
18 An architect diagrams two sidewalks to go between the pool, grass, and seating areas as shown below. у Sedang Distance (meters) 600 Nom grass pool 1 1 2 3 4 5 6 7 8 4 7 8 x
Answer:
Step-by-step explanation:pool or grass
Answer: The answer is C
Problem Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality between yyy and xxx of 333? Choose 1 answer:
Answer:
The answer is below
Step-by-step explanation:
The correct question is attached.
Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.
Given the lines A, B and C. The constant of proportionality can be gotten by getting the equation of the line.
Line A passes through (0,0) and (1, 5). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x[/tex]
The constant of proportionality between y and x is 5.
Line B passes through (0,0) and (3, 5). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x[/tex]
The constant of proportionality between y and x is 5/3.
Line C passes through (0,0) and (3, 2). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x[/tex]
The constant of proportionality between y and x is 2/3.
Answer:
line c
Step-by-step explanation:
Jeremy constructed this solid by combining two rectangular prisms and a square pyramid.
A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.
What is the surface area of this figure?
_____________ square meters
320
322
368
386
Answer:
368 square meter
Step-by-step explanation:
just guessing
Answer:368
I got it right
(100 POINTS!!!!!!)
PLEASE DO NOT ANSWER THE QUESTION, JUST EXPLAIN HOW I CAN GET THE ANSWER
Answer:
-2, 7
Step-by-step explanation:
I dont know I just know the answer i am only in 5th grade plz have mercy
In one area, the lowest angle of elevation of the sun in winter is 28°. Find the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high. Round your answer to the tenths place
Answer:
[tex]l_d=11.28ft[/tex]
Step-by-step explanation:
From the question we are told that:
Angle [tex]\theta=28 \textdegree[/tex]
Height of Fence [tex]h=6 feet[/tex]
Generally the equation for Length of shadow cast by the fence is mathematically given by
Since
Shadow cast forms a right angle triangle
[tex]l_d=\frac{h}{tan \theta}[/tex]
[tex]l_d=\frac{6}{tan 28}[/tex]
[tex]l_d=\frac{6}{tan 28}[/tex]
[tex]l_d=11.28ft[/tex]
Therefore the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high is
[tex]l_d=11.28ft[/tex]
What is the value of u?
u+40°
U-19°
U=
Answer:
u = 59
Step-by-step explanation:
The sum of the exterior angle is equal to the sum of the opposite interior angles
u+ u-19 = u+40
2u -19 = u+40
Subtract u from each side
2u-19-u = u+40-u
u-19 = 40
Add 19 to each side
u+19-19 =40+19
u = 59
What is the measure of J ?
Answer:
45°
Step-by-step explanation:
a triangle is 180° and we can see that it is a right angled triangle. so we just subtract 90 from the 180 then divide that 90 by 2 to get 45°
What is the volume of this rectangular prism?
2/5cm
2/5cm
2/5cm
___cm3
Answer:
8/125cm3
Step-by-step explanation:
A=lxwxh
A=2/5 x 2/5 x 2/5
A=8/125cm
I hope this helps <3
The value of the expression 3^-4 • 3^-5 is
Answer:
3^-9
Step-by-step explanation:
3^-4 • 3^-5
We know that a^b * a^c = a^(b+c)
3^-4 • 3^-5 = 3^(-4-5) = 3^ -9
What is the value of x?
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
please help i was supposed to be done already
5y + 1 = 31 what’s the solution of y
Answer:
y = 6
Step-by-step explanation:
5y + 1 = 31
Subtract 1 from each side
5y + 1-1 = 31-1
5y = 30
Divide by 5
5y/5 = 30/5
y = 6
Answer:
y = 6
Step-by-step explanation:
5y means 5 multiplied by something. 5y + 1 equals 31. So 5 multiplied by 6 equals 30 + 1 = 31, which is the given answer.
There are 75 balloons in each package. How many are in 20 packages
Answer:
1,500 balloons in 20 packages
Step-by-step explanation:
75 x 20 = 1500
A cylinder has a radius of 5x + 4 and a height of 2x + 5. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula v=πr²h for the volume of a cylinder
Answer:
Step-by-step explanation:
Volume = pi·(r^2)*h
r = radius = (5x+4)
h = height = (2x+5)
Volume = pi·(r^2)
Volume = pi·(5x+4)^2*(2x+8)
Volume = pi·(25x^2+40x+16)*(2x+8)
Volume = pi·(50x^2+80x+32+200x^2+32x+128)
Volume = pi·(250x^2+112x+160)
Question 2
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area?
Answer
F ) It will increase by 12 square feet.
G )It will decrease by 12 square feet.
H )
It will increase to 39 square feet.
J )
It will decrease to 12 square
feet.
Answer:decrease by 12 feet
Step-by-step explanation:I did the math
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.
How does the area of a rectangle, and its length and width related?The area of a rectangle is the product of its length and width.
If a rectangle has a length L units and a width of W units, then
Area = L × W squared units.
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.
Area = L × W
Let the length and width are x and y
27 = x × y
xy = 27
The new area if its length and width are changed to 2/3 of their original size
Area = L × W
[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]
Therefore, the new area will be decreased by 12.
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Pls help!
A bag contains 5 red marbles and 3 blue marbles. A marble is selected at random
and not replaced. What is the probability of choosing a red marble twice?
A.20
64
B.25
64
C.5
14
D.3
28
(Those are as fractions btw)
Need help ASAP this is important !!!
What is the vertex of the absolute value function below?
2
8
5
4 3 2
1+
5
4
-
1
2
-2
(-3,-2)
(-3.2)
0 (
2-3)
123)
Answer: Choice B
The vertex is (-3, 2)
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Explanation:
The vertex is the lowest point of a V shaped graph like this. If the V was upside down, then the vertex would be the highest point. The graph shows that (-3, 2) is the lowest point.
Side note: The equation for this absolute value function is y = |x+3|+2
The vertex of the absolute value function given below is (-3, 2).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Absolute value functions are of the form,
f(x) = |x|.
Here |x| means the absolute value of x.
The vertex of the absolute value function is the point where the direction of the graph changes.
From the given graph, line was having negative slope until the point (-3, 2) and then it changes the direction.
Hence the vertex of the graph is (-3, 2).
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who knows how to problem solve this this problem?
Answer:
just do it by Pythagoras theoram
Step-by-step explanation:
because it is a right angle
Which number line shows the solutions to n > 0?
Answer:
1st Option is correct
Step-by-step explanation:
Hope it is helpful....
Answer:
the third one is the ans.
Round off each of the following to the number of significant figures as given
in brackets.
(a) 3748 (3 s.f.)
(b) 0.004 709 89 (4 s.f.)
(c) 4971 (2 s.f.)
(d) 0.099 99 (2 s.f. and 3 s.f.)
Answer:
(a) 3750 to 3 s.f
(b) 0.004710 to 4 s.f
(c) 5000 to 2 s.f
(d) 0.10000 to 2 s.f
0.10000 to 3 s.f
Step-by-step explanation:
Things to note when rounding off a number to a number of significant figures:
For a given number,
i. the most significant digit is the leftmost digit as long as it is not zero. For example, in 789, the most significant digit is 7.
ii. when rounding off to m significant figures, the least significant digit is the mth digit from the most significant digit. This can be zero. For example, to round off 789 to 2 significant figures, the least significant digit is 8 (since it's at position 2 starting from 7).
iii. every digit from the least significant digit is a non-significant digit. For example, to round off 789 to 2 significant digit, the digits after 8 (which is the least significant digit) are all non-significant. In this case, 9 is not significant. After rounding off, these non-significant digits are changed to zero.
iv. the first non-significant digit is the digit just after the least significant digit. For example, to round off 789 to 2 significant digit, the digit just after 8 (which is the least significant digit) is 9. Therefore, 9 is the first non-significant digit.
Rounding off rules
i. the least significant digit will be unchanged if the first non-significant digit is less than 5.
ii. the least significant digit will be increased by 1 if the first non-significant digit is greater than or equal to 5.
iii. all non-significant digits are either removed or changed to zero depending on whether the number is a decimal.
(a) 3748 (3 s.f)
The least significant digit here is 4 since it is at position 3 starting from the most significant digit 3
The first non-significant digit is 8 which is greater than 5.
Therefore, the least significant digit 4 is increased by 1 to get 5 and the non-significant digits (8 in this case) are changed to 0.
The result is thus 3750.
(b) 0.004070989 (4 s.f)
The least significant digit here is 0 since it is at position 4 starting from the most significant digit 4
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 0 is increased by 1 to get 1 and the non-significant digits (8 and 9 in this case) are changed to 0.
The result is thus 0.004071000.
The ending zeros can be removed to give 0.004071
(c) 4971 (2 s.f)
The least significant digit here is 9 since it is at position 2 starting from the most significant digit 4.
The first non-significant digit is 7 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow. This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (5 in this case which will become 6 due to the addition). The non-significant digits (7 and 1 in this case) are changed to 0.
The result is thus 5000
(d) 0.09999 (2 s.f)
The least significant digit here is 9 since it is at position 2 starting from the most significant digit 9.
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.
This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 and 9 in this case) are changed to 0.
The result is thus 0.10000
The ending zeros can be removed to give 0.1
d (ii) 0.09999 (3 s.f)
The least significant digit here is 9 since it is at position 3 starting from the most significant digit 9.
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.
This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 in this case) are changed to 0.
The result is thus 0.10000
The ending zeros can be removed to give 0.1
What could you divide and then multiply by to go from the first number to the
second?
First number: 99
Second number: 66
What is the value of this expression? 6 (24 ÷ 3) - 2
Answer:
46
Step-by-step explanation:
Follow the order of operations
The value of the expression 6(24 ÷ 3) - 2 is 46.
How to solve the expressionTo evaluate the expression 6(24 ÷ 3) - 2, we follow the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, we simplify the expression inside the parentheses:
24 ÷ 3 = 8
Now we substitute the result back into the original expression:
6(8) - 2
Next, we perform the multiplication:
6 * 8 = 48
Finally, we perform the subtraction:
48 - 2 = 46
Therefore, the value of the expression 6(24 ÷ 3) - 2 is 46.
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ILL GIVE YOU BRAINLIST PLS ANSWER RN RLY RLY NEED THIS
Answer:
1. 1/2
2. .5
3. 50%
Step-by-step explanation:
2 of the types of cards out of 4 is 2/4 which is half
Answer:
1/2 or unsimplified: 26/52
.5
50%
Step-by-step explanation:
half of the cards are a diamond or club so the probability is one out of 2 which is one half
1/2 equals .5
then a 50% chance because 50% is half of 100%