She can arrange the 9 paintings in 362,880 different ways, and she can select 126 different combinations of 4.
In how many ways can she display the 9 paintings?For the first position, she has 9 options.For the second position, she has 8 options (one is already taken).
And so on for the rest of the positions.
The total number of different combinations is equal to the product between the numbers of options:
C = 9*8*7*6*5*4*3*2*1 = 9! = 362,880
b) This will be given by the combinations of 4 out of 9, or:
C(9, 4), where:
[tex]C(9, 4) = \frac{9!}{(9 - 4)!*4!} = \frac{9*8*7*6}{4*3*2*1} = 126[/tex]
She can select 126 different combinations of 4 paintings.
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Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16
Answer:
Slope of the line that is parallel: -1
Slope of the line that is perpendicular: 1
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-4x - 4y = 16 <== add 4x to both sides
+4x +4x
-4y = 4x + 16 <== divide both sides by -4
/-4 /-4
y = -x - 4
The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-1)
2. Flip it (-1/1)
3. Change the sign (1)
For a slope of -1, the reciprocal would be: 1
Hope this helps!
Convert to y=mx+b form
-4y=4x+16y=-x-4Slope:-
m=-1Parallel lines have equal slope
Perpendicular line's slope=1
hard question help!!!!
Answer:
A
Step-by-step explanation:
You can do 22/4 and that will give you 5.5. Since A gives the multiply chart for 5.5 to 4, the answer is A
Is the following shape a rectangle? How do you know?
Answer:
B.Yes,the adjacent sides are perpendicular,and the opposite sides are parallel
Answer:
B. Yes, the opposite sides are perpedicular, and the opposite sides are parallel
Step-by-step explanation:
This is because for a rectangle to be a rectangle, it has to have four sides whose opposite sides are equal (so parallel) and adjacent sides meets at 90° (so perpendicular), both of which this shape is shown to be.
Hope this helps. If you have any further questions, let me know!
- profparis
At the buffet luncheon guests could choose one meat, one side and one salad. If there were 3 different meats, 7 sides and 4 salads, how many possible combinations would there be?
Answer:
i believe that its 84
Step-by-step explanation:
Please tell me how to solve for the area cause I thought the formula was ab/2
Answer:
Step-by-step explanation:
(a). 5.33 m
(b). 41.65 m²
Area of composite shapes
The following shape has 1 pair of
parallel sides.
7
2
7
8
*
-
-
-
3
What is the area of the shape?
CI
units?
Answer: 76
Step-by-step explanation:
The area of the given composite figure is 76 square units.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
The given composite figure has three parts, two triangles and one rectangle.
Area of small triangle = 1/2 ×8×2
= 8 square units
Area of large triangle = 1/2 ×8×3
= 12 square units
Area of rectangle = Length×Height
= 8×7
= 56 square units
Total area = 8+12+56
= 76 square units
Therefore, the area of the given composite figure is 76 square units.
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can someone help me ?
Answer:
Make 2 rectangles and find perimeter and then divide by 2.
Step-by-step explanation:
Hope that helps.
PLEASE HELP !! #24 & #26
Answer:
Step-by-step explanation:
Sum of exterior angles of any Polygon = 360°
23. x + 65 + 106 + 78 = 360
x + 249 = 360
{To find the value of x, subtract 249 from both sides}
x = 360 - 249
x = 111°
_________________________________________
24. x + x + 59 + 48 + 50 + 39 + 58 = 360
2x + 254 = 360
2x = 360 - 254
2x = 106
x = 106 ÷ 2
x = 53°
____________________________________________
25. 2x + 3x + 44 +85 + 71 = 360
5x + 200 = 360
5x = 360 - 200
5x = 160
x = 160 ÷ 5
x = 32°
_______________________________________________
26. x+ 2x + 77 + 40 + 45 = 360
3x + 162 = 360
3x = 360 - 162
3x = 198
x = 198 ÷ 3
x = 66°
Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right
What change has been caused?
y=2(x-15)²+3y=2(x-15+4)²+3y=2(x-11)²+3Change in x (+4)
Means
translation is 4units leftOption A
Answer:
translate 4 to the left
Step-by-step explanation:
ED 2022
Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm
Answer:
Assuming that you are listing the length of each side of the figure, we can add the values together. The perimeter is 16 cm.
Step-by-step explanation:
6+2+2+6=16 cm
What is the volume of this cube?
Answer: 1 inc^3
Step-by-step explanation:
V = A^3
Where a = side
V = 1 ^3
V = 1 inch^3
Or in meteres it is 1.6387064e-5
Step-by-step explanation:
HOPE THIS HELPS IF NOT SORRYYYY !!!!!
Please explain someone!!!
Answer: 1 and 2
Step-by-step explanation: 1 and 2 because if you are graphing this the formula to find the slope / the line is y = x + some number. In the formula x is how much the line goes from the x axis and the number is how much it is from the y axis. On #2 the problem is 3y = 2x + 4 so to follow the formula you need to divide both sides by 3 to get y = 2/3x + 4. For #3 you do the same thing to get y = -3/2x -5. Finally for #1 the equation is 2x + 3y = 7 so to get the slope / line you need to put x on the other side so now it is 3y = 7-2x then you divide both sides by 3 and get y = -2/3x + 7 and on 1 and 2 there x is 2/3 (the negative doesn't matter and the random number) so they are parallel.
ello mate, i need help with this here question can you help a girl out and if ya do ill give you brainlist :D
Answer:
B
Step-by-step explanation:
Add the value of the dots
0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 = 22/8 = 2 6/8
Drag each tile to the correct box. Not all tiles will be used.
The table represents the balance of Sylvia's loan, y, over a period of 24 months, x. She used technology to create the scatter plot shown and
determined the best fit equation to model the data, y=-382.05x +
25,077.40. Determine how long it will take to reach the given balances
Using the given linear function, it is found that:
The balance will be of approximately $17,000 in month 21.The balance will be of approximately $0 in month 66.What is the function for the balance?The balance after x months is modeled by:
y = -382.05x + 25077.4.
Hence, it will be of approximately $17,000 at x for which y = 17000, hence:
17000 = -382.05x + 25077.4
x = (25077.4 - 17000)/382.05
x = 21.
We apply the same logic to find when it will be of approximately 0.
0 = -382.05x + 25077.4
x = (25077.4 - 0)/382.05
x = 66.
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9. A man bought a calculator for Rs 1450 and sold at a loss of 12% Find the loss amount Hi. Find the selling price of the calculator.
Loss amount:-
12% of 14500.12(1450)₹174Hence
Selling price:-
Price-loss1450-174₹1276Answer:
1276 rupees
Step-by-step explanation:
Given
Price = 1450Loss % = 12%Solving
Selling price = 1450 x (100 - 12%) [as it a loss]1450 x 88%1450 x 0.881276 rupeesA mixed economy is dependent only on the choices of individuals and businesses a combination of individual choice and government protection where people produce and trade traditional goods completely based on government decisions
Answer:
In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.
Answer:
a combination of individual choice and government protection
Step-by-step explanation:
What scale factor was used to dilate STUV to S’T’U’V?
A. 0.20
B. 0.50
C. 0.25
D. 0.75
Answer: C. 0.25
Step-by-step explanation:
Large Shape: S (-4, 12) T (2, -4) U (6, -8) V (-12, -8)
Small Shape: S (-1, 3) T (0.5, -1) U (1.5, -2) V (-3, -2)
For the smaller shape the distance between V and U is 4.5
For the larger shape the distance between V and U is 18
So when you divide [tex]\frac{4.5}{18}[/tex] you should get 0.25
S: [tex]\frac{-4}{-1}=4[/tex] [tex]-4 *0.25=-1[/tex]
T: [tex]\frac{2}{0.5}=4[/tex] [tex]2*0.25=0.5[/tex]
U: [tex]\frac{6}{1.5}=4[/tex] [tex]6*0.25=1.5[/tex]
V: [tex]\frac{-12}{-3} =4[/tex] [tex]-12*0.25=-3[/tex]
I hope this helps
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.
What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?
The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37
What is ratio?Ratio is a term that is used to compare two or more numbers.
Therefore,
At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,
The Junior population at 2:00 pm is as follows;
12 pm to 2pm is 120 minutesThen, 120 / 15 = 8
20 × 8 = 160 students
The junior student increased by 120 by 2pm.
The Senior population at 2:00 pm is as follows;
45 × 8 = 360 students
360 senior student left by 2 pm.
Therefore,
Junior student by 2pm = 700 + 160 = 860 students
Senior student by 2 pm = 110 - 360 = 740 students
The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37
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What is the volume of a cone in cubic inches with a radius of 2 inches and a height of 3 inches use 3.14 for pie round your answers to the nearest hundredth
radius r = 2 in
height h = 3 in
slant height s = 3.60555128 in
volume V = 12.5663706 in3
lateral surface area L = 22.6543468 in2
base surface area B = 12.5663706 in2
total surface area A = 35.2207174 in2
In Terms of Pi π
volume V = 4 π in3
lateral surface area L = 7.21110255 π in2
base surface area B = 4 π in2
total surface area A = 11.2111026 π in2
Find the range: 40, 90, 36, 68, 90, 11, 88, 54
Answer:
79
Step-by-step explanation:
90-11=79
Answer:
79
Step-by-step explanation:
To find the range, subtract the biggest number and the smallest number. In this case, it would be 90-11 which is 79.
Hello people ~
Sketch the graph for y=cot ^-1 (cot x)
Answer:
[tex]\sf y=cot^{-1}(cot(x))[/tex]
[tex]\sf \implies cot(y)=cot(x)[/tex]
[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]
[tex]\sf \implies tan(x)=tan(y)[/tex]
[tex]\sf \implies y=x[/tex]
[tex]\sf \implies y=x\pm\pi n[/tex]
Given that k // I, identify the congruent angles in the
triangles.
212
v
m
22
v
23
In the following expression, 6 and -6 are like terms.
6- 6 + 8a
a) True
b) False
Answer:
no there not
Step-by-step explanation:
6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign
What is the value of x?
Enter your answer in the box.
units
Answer:
x=27
Step-by-step explanation:
the attached photo might help you
What’s 1+7+6+8+10-12+5+22-4-12+16
Answer:
The answer to your question is 47
Step-by-step explanation:
You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.
The answer is 72
Step-by-step explanation:
1+7=8
8+6=14
14+8=22
22+10=32
32+12=44
44+5=49
49+22=70
70-4=66
66-12=56
56+16=72
A $24.99 shin is on sale for 15% off. You have a coupon that will take an additional 10% off, after the first coupon. Your friend says. "Why don't they just take 25% off? It's the same amount!" She then adds. "Isn't it? How do you respond? Justify your answer. Do not round!
also its due on Thursday April 14
Answer:
Its not the same
Step-by-step explanation:
Hey there!
I would respond to him by telling him that its first 15% off then you can add the 10%
First, you would take out the 15% from $24.99 which would make the price $21.25.
Then you would take out the 10% which makes the final price $19.13
This is because the 10% was added later.
If you took out 25% in the begining the final price would be $18.75 not $19.13
What is the measurement of < F
Answer:
Option C - 65°
Step-by-step explanation:
Since the side lengths of this triangle are equal this triangle is an isosceles:
Because the triangle is an isosceles the base angles are equal so
∠G = ∠F = 65°
What is the result of subtracting 4x + 3xy + 2y
from 5x + 3xy + 6y ?
1. x² + 47
x + 4y
8. -X- 4y
-x
C. -X – 4y
-
D. x² + 4y
Find the area of the composite figure.
A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192
The area of the composite figure from the image attached is 112.5 units²
What is the area of a composite figure?The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
A parallelogramA rectangleA triangleThe area of a parallelogram = b × h
where;
b & h refers to the length of the two opposite diagonal lines.The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
where;
Base = b Height = hThe area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]
The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
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What is 85% of 21?
I need to know for school because we're doing this project.
Answer:
85% of 21 is 17.85.