Answer: 336 ways
Step-by-step explanation:
Given
Sam has 8 models and he needs to place 3 on a shelf
3 models can be selected out of 8 in [tex]^8C_3[/tex] ways
It can further be arranged among themselves in [tex]3![/tex] ways
Therefore, total number of ways are
[tex]\Rightarrow 3!\times ^8C_3\\\\\Rightarrow 3!\times \dfrac{8!}{3!5!}\\\\\Rightarrow 8\times 7\times 6=336\ \text{ways}[/tex]
2 divided by x = 0
What is x?
Hello!
2 : x = 0
x ∈ ∅
Good luck! :)
PLEASE HELP!
NEED ANSWERS FOR A,C,D,E,F
⚠️❗️⚠️❗️⚠️ 10 POINTS The people answering this get it wrong please get it right what is the area
Answer:
187 units²
Step-by-step explanation:
break the figure into two rectangles
one 16 by 7 , the other 25 by 3
a = (16 * 7) + (25 * 3)
a = 187
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.
f(x) = x4 - 8x² + 3
Answer:
The function is maxima at x = 0.
Step-by-step explanation:
the function is
[tex]f(x) = x^4 - 8 x^2 + 3[/tex]
Differentiate with respect to x.
[tex]f'(x) = 4x^3 - 16 x\\\\Put f'(x) = 0 \\\\4x(x^2-4)=0\\\\4 x(x +2)(x-2) =0\\\\x = 0, - 2 , 2 Now f''(x) = 12 x^2 - 16 \\\\f''(0) = - 16 = negative \\\\f''(-2) = 12(-2)^2 - 16 = 32\\\\f''(2)=12(2)^2 - 16 = 32[/tex]
So, the function is maima at x = 0 .
En una sala de teatro havian 7 filas 23 sillas cada una acaban de quitar 8 de las sillas ¿cuantas sillas quedan?
Answer:
Quedan 153 sillas
Step-by-step explanation:
Primero sabemos que en una sala de teatro tenían 7 filas, y en cada una de esas filas habían 23 sillas.
Entonces, originalmente, el número total de sillas es 7 veces 23:
S = 7*23 = 161
Luego sabemos que quitan 8 de esas sillas, entonces el número de sillas que quedan es la diferencia entre el número original de sillas, 161, y 8, que nos da:
S = 161 - 8 = 153
Quedan 153 sillas
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply.
Answer:
5 + 2.5 > 4 feets
4 + 5 > 2.5 feets
2.5 + 4 > 5 feets
Step-by-step explanation:
The triangle states that :
The sum of any 2 sides of a triangle must be greater than the third side
Side Given are :
5feets ; 2.5 feets ; 4 feets
In other to obey the triangle rule :
5 + 2.5 > 4 feets
4 + 5 > 2.5 feets
2.5 + 4 > 5 feets
how do i multiply 1 1/5 x 3 4/5 x 1
Answer:
4 14/25
Step-by-step explanation:
1 1/5 x 3 4/5 x 1
We need to convert the mixed number to an improper fraction
1 1/5 = (5*1+1)/5 = 6/5
3 4/5 = (5*3+4)/5 = 19/5
1 =1
6/5 * 19/5 *1
114/25
Now convert back to a mixed number
25 goes into 115 4 times with 14 left over
4 14/25
Which is equal to (3 + 4) - 50
Answer:
-43
hope this helps
have a good day :)
Step-by-step explanation:
3+4=7
7-50=-43
Answer:
Step-by-step explanation:
(3+4)-50
=7-50
=-43
Convert r=8cosθ+2sinθ to rectangular equation
Answer:
Convert
r
=
8
cos
θ
−
2
sin
θ
to Cartesian form
#x^2 + y^2 - 8 x +2 y = 0, using
r
=
√
x
2
+
y
2
≥
0
and
(
x
,
y
)
=
r
(
cos
θ
,
sin
θ
)
.
The Socratic graph of this circle,
with center at
(
4
,
−
1
)
and radius
√
17
.
is immediate.
graph{(x^2+y^2-8x+2y)((x-4)^2+(y+1)^2-0.04)=0[-1 23 -6 6] }
Match each equation with the correct number of solutions
What is the margin of error if the sample size is 100, sample mean is 68.0, and standard deviation is 4.0
Answer:
Step-by-step explanation:
What is the margin of error if the sample size is 100, sample mean is 68.0, and standard deviation is 4.0
The Margin of error formula =
± z score × s/√n
Where s = standard deviation= 4
n= Number for samples = 100
z = z score of confidence interval
Margin of error = ± z × 4/√100
Margin of error = ±z × 4/10
=± z × 2/5
= ± z × 0.4
= ± 0.4z
Margin of error = ± 0.4z
Giving brainlist to whoever answers
Answer:
I think the answer should be D, (tell me if i'm wrong).
what is the area of this trapezoid?
Answer:
[tex]7.5\:\text{square units}[/tex]
Step-by-step explanation:
The area of a trapezoid is given by the average of the bases multiplied by the height.
What we're given:
Height of 3Bases of 1 and 4The average of the bases 1 and 4 is equal to [tex]\frac{4+1}{2}=\frac{5}{2}=2.5[/tex]
Therefore, the area of the trapezoid is [tex]2.5\cdot 3=\boxed{7.5\:\text{square units}}[/tex]
Answer:
30 units²
Step-by-step explanation:
this ones kinda tricky but basically you need to dilate it all by 2 (to make the figure twice as big)
technically, it would be 7.5 units bc but bc of the dilation it'd be 30
Help me with my math please, it’s 6th grade
Help me Please
i need to know the exact answer
I don't need to know how to solve thanks :)
Answer:
SA= 119 cm²
Step-by-step explanation:
the solution contain of four steps
Which ordered pair represents an x-intercept?
Please help!!!!
Answer:
If anything it would be blue.
Highest common factor of 15 and 20
Answer:
The highest common factor is 5
Step-by-step explanation:
3x5=15 4x5=20
Answer:
answer is 5
Step-by-step explanation:
See image below, This is a good website called Cue math explaining.
https://www.cuemath.com/questions/gcf-of-15-and-20/
Emma says the length of her favorite movie is 120 minutes, but she has rounded the time to the nearest ten.
Which could be the number of minutes of Emma's favorite movie before she rounded it?
Choose 2 answers:
(Choice A)
A
111.25111.25111, point, 25
(Choice B)
B
124.9124.9124, point, 9
(Choice C)
C
115.95115.95115, point, 95
Answer:
B and C are correct
A closed container has 2.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
0.34 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068 ⋅ 10−1
0.37 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71 ⋅ 10−1
3.41 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068
3.71 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71
Answer: 0.34 grams
Step-by-step explanation:
Given:
Number of atoms in a closed container
Weight of one atom
Total mass of all the atoms of the gas in the container
Thus A is the right option.
Answer:
0.34 grams
Step-by-step explanation:
What is the solution to this equation? -12x=8
Answer:
x = -2/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-12x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -12 on both sides: x = 8/-12Simplify: x = -2/3which input value produces the same output value for the two functions?
Step-by-step explanation:
where are the 2 functions ?
PLEASE HELP ME !! THANK YOU!!
EXPLANATION = BRAINLIEST & FIVE STAR RATING
What is tan E? Give your answer as a simplified fraction.
Answer:
28/45
Step-by-step explanation:
tan = opp/adj
tanE = 28/45
this is my weakest subject i really need some help
y1 x-1. ......
Step-by-step explanation:
Y = 1 X = -1.
Use the distributive property to write an expression that is equivalent to 1/2 (8y + (-x) + 12)
Algebra
[tex] \frac{1}{2} (8y - x + 12) = a[/tex]
Divide everything by two, or times everything by 1/2.
[tex]4y - \frac{1}{2} x + 6 = a[/tex]
This is as far as you could go due to no like-terms.
help!
find the area of each figure
The dot plot showed the number of flowers on a rosebush: 18, 18, 18, 18, 20, 20, 22, 23 The number 19 is used to summarize the data. What does this number measure?
Answer:
19 measures the median
Step-by-step explanation:
The dot plot is not shown, but the question can still be answered.
We have:
[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]
[tex]n = 8[/tex]
Calculate the median position using:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{8 + 1}{2}th[/tex]
[tex]Median = \frac{9}{2}th[/tex]
[tex]Median = 4.5th[/tex]
4.5th means the median is the mean of the 4th and 5th item.
We have:
[tex]4th = 18[/tex]
[tex]5th = 20[/tex]
So:
[tex]Median = \frac{18 + 20}{2}[/tex]
[tex]Median = \frac{38}{2}[/tex]
[tex]Median = 19[/tex]
If the roots of a quadratic equation are -4 and 2,
the equation is equivalent to
Answer:
x^2-2x-8
Step-by-step explanation:
-4, 2
(x-4)(x+2) solve that, and it equals to that equation.
The lateral area of a cylinder is 3,620 square inches. The radius is 9 inches. Describe the height of the cylinder in terms of inches.
Answer:
64.05 in
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π= 3.14
r = radius = 9
h = height
3620 = 2 x 3.14 x 9 x h
3620 = 56.52h
h = 3620 / 56.52
h = 64.05 in
Sam is rowing a boat away from a dock. The graph shows the relationship
between time and Sam's distance from the dock. Evaluate the function for an
input of 6.
Distance from Dock
110
100
90
80
70
60
Distance (meters)
50
40
30
20
10
0
1 2 3 4 5 6 7 8 9 10 11
Times (minutes)
O A. After 60 minutes, Sam is 6 meters from the dock.
O B. After 6 minutes, Sam is 6 meters from the dock.
C. After 60 minutes, Sam is 60 meters from the dock.
Answer:
After 60 minutes, Sam is 6 meters from the dock
Step-by-step explanation:
I looked at the number line and met up where 60 minutes was.
After 6 minutes, Sam is 60 meters from the dock
Correct option is D.
What is straight line?A straight line is an infinitely long line with no curves. A straight line can also be formed between two points, but the ends will be infinite. A straight line is a figure formed by connecting two points A (x1, y1) and B (x2, y2) with the shortest distance and extending both ends to infinity.
General formula for a straight line:
The general equation for straight lines is given as ax + by + c = 0.
a, b, c are constants and
x,y are variables.
Slope is -a/b
Given,
Graph of Distance to time is represented by an straight line
By the graph,
Line crosses from (0,20) and (3,40)
Equation of the line
y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x-x₁)
y - 20 = ((40 - 20)/(3 - 0))(x-0)
y - 20 = (20/3)(x)
y - 20 = 20x/3
y = 20x/3 + 20
Input x = 6
y = 20(6)/3 + 20
y = 120/3 + 20
y = 40 + 20
y = 60
When time = 6 minutes, distance between Sam and the dock is 60 meters.
Hence, Sam is 60 meters away from the dock after 6 minutes
Learn more about straight line here:
https://brainly.com/question/29223887
#SPJ7
which function is the inverse of f(x)=2x+3
Answer:
jssisvshdvdbd sjjsjdgdjd
Step-by-step explanation:
ususueuwgeieyevekeuecrjie r