In how many ways can 12 math students be seated at a round table?
A. 479,001,600
B. 39,916,800
C. 144
Answer:
479,001,600
Step-by-step explanation:
The first seat could be any of the 12
the second seat could be any of the remaining 11
and so on
12!
12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
479,001,600
In order to add 1 ⁄ 4 and 2 ⁄ 5, the denominators have to be the same. This means multiplying both the numerator and denominator of each fraction by the opposite fraction's denominator.
1 ⁄ 4 + 2 ⁄ 5
( 1 ⁄ 4 × 5 ⁄ 5 ) + ( 2 ⁄ 5 × 4 ⁄ 4 )
(1 × 5)/(4 × 5) + (2 × 4)/(5 × 4)
5 ⁄ 20 + 8 ⁄ 20 = 13 ⁄ 20
1/3 + 3/8 =
Answer:
1/3 + 3/8 = 17/24
Step-by-step explanation:
LCD is 24
3*8 = 24
8*3 = 24
3/24 + 9/24 = 17/24
The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid
Answer:
110 yards^3
Step-by-step explanation:
volume of a triangular pyramid= 1/3 area x height
1/3 x (22) x 15 = 110 yd^3
Please Help Quick ASAP Hurry
What is the approximate volume of the cone? Use 3.14 for π.
A. 848 cm 3
B. 1272 cm 3
C. 3815 cm 3
D. 6359 cm 3
8g - 24d please help!
Answer:
-16
Step-by-step explanation:
PLEASE HELP ASAP
answer has to be in simplest radical form
find s
Answer:
s = 6√3
Step-by-step explanation:
We can recognize that the triangle in the image is a special 30 - 60 - 90 triangle. In a 30 - 60 - 90 triangle, the leg opposite the 60 degree angle, s, is √3 times the leg opposite the 30 degree angle, in this case 6m. We can write an equation to model the situation:
s = 6 * √3
s = 6√3
Question 22 of 43
A circle is sliced into 16 pieces and rearranged into a shape that looks like a
parallelogram. The dashed line indicates the base of the shape. Which
statement is correct?
A. The base of the parallelogram is approximately equal to the radius
of the circle
O B. The base of the parallelogram is approximately equal to the
circumference of the circle,
C. The base of the parallelogram is approximately equal to the
diameter of the circle.
D. The base of the parallelogram is approximately equal to half the
circumference of the circle.
Answer: D. Half of the Circumference
Step-by-step explanation:
I just got it right on my quiz so its ap3x approved.
The answer is option D.The base of the parallelogram is approximately equal to half the circumference of the circle.
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
Given that:-
A circle is sliced into 16 pieces and rearranged into a shape that looks like a parallelogram.When the circle is sliced into 16 pieces and rearranged into a shape that looks like a parallelogram. the base of the parallelogram is approximately equal to half the circumference of the circle
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3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))
4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2
Answer:
3. B 10a
4. D 3
Step-by-step explanation:
the value of function lim (g(x)*h(x)) will be 10 a.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, For g(x)=5 and h(x)=2x
[tex]\lim_{x \to \ a }(g(x)*h(x))[/tex]
=> lim (5 * 2x)
=> lim 10x
=> 10a
for G(x)= X-10 And H(x)= 2x,
g(x)/ h(x) = (x - 10)/2x
[tex]\lim_{x \to \ -2} g(x)/ h(x)[/tex]
=> (-2- 10)/-4
=> 3
therefore, the value of function lim (g(x)*h(x)) will be 10 a.
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What is the sum of 15 and it's addictive inverse
Answer:
zero
Step-by-step explanation:
the additive inverse of 15 is -15 so the sum is zero
Answer: The sum Is zero, explanation below
Step-by-step explanation:
The Addictive inverse of a number is its opposite so for example the addictive inverse of 12 is -12 or x is -x so the equation would be
15 + -15
making your answer zero :D
SHEEEESSSHHHH
Jade buys a blouse and a skirt for 3/6 of their original price. Jade pays a total of $31 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Write an equation to represent the situation and use the Distributive Property to solve
Answer:
3/4 times 18= 13.5
31.5-13.5=18
It cost 18 dollars for the skirt with a discount.
It cost 13.5 for the blouse as opposed to the original price of 18 dollars.
18(skirt)+13.5(blouse)=31.5
If you set up a proportion to find the original price of the skirt you will get the answer.
18/x=75/100
75x=18 times 100
75x=1800
75x/75=1800/75
x=24
The original price of the skirt is 24 dollars.
Step-by-step explanation:
PLEASE HELP!
What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12
Answer:
y=-5
Step-by-step explanation:
7/9
×
3/7
just need help
Answer:
Let me hep you then :)
Step-by-step explanation:
7/9 x 3/7 = 1/3 or 0.3
Have a nice day <3
Answer:
Fraction Form = 1/3
Decimal Form= 0.3 repeating or just 0.3
Step-by-step explanation:
Heres a free Quote for you- “Believe you can and you're halfway there.”
a dog is leashed to the corner of a house. how much running area does the dog have? 40 ft
Answer:
5027.2ft^2
Step-by-step explanation:
Given data
Radius= 40ft
The expression for the area covered is given as
A= πr^2
Substitute
A= 3.142*40^2
A=3.142*1600
A=5027.2ft^2
Hence the area covered is 5027.2ft^2
What is the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter?
Volume is a three-dimensional scalar quantity. The volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a sphere is given by the formula (4/3)πR³, where R is the radius of the circle. Since the radius of the sphere is 6.6 cm, the volume of the sphere will be,
Volume of Sphere = (4/3) × π × (6.6cm)³ = 1204.26 cm³ ≈ 1204.3³
Hence, the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.
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Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A. 0 B. 1 C. 2 D. 4 E. infinitely many
Answer:
2
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
equation
Answer:
551.06feet
Step-by-step explanation:
Given the equation
y=-16x^2+174x+78
At maximum height, dy/dx = 0
dy/dx = -32x + 174
0 = -32x+174
32x = 174
x = 174/32
x = 5.4375
GEt the maximum height
y=-16x^2+174x+78
y=-16(5.4375)^2+174(5.4375)+78
y = -473.0625 + 946.125 + 78
y = 551.0625
Hence the maximum height is 551.06feet to the nearest hundredth
In the diagram below of triangle NOPNOP, QQ is the midpoint of \overline{NP}
NP
and RR is the midpoint of \overline{OP}
OP
. If m\angle PON=-5x+171∠PON=−5x+171, and m\angle PRQ=-9x+207∠PRQ=−9x+207, what is the measure of \angle PON∠PON?
N
Answer:
126 degrees
Step-by-step explanation:
how would u read the expression 2*3
The temperature in Michigan one night was -12°F. By
morning the temperature rose 8°F. What was the
temperature that morning?
Answer:
-4 degrees F
Step-by-step explanation: So the temperature was -12F add 8F that gets you to -4F. It rose 8F.
What are factors of 72 that add to be -18?
Answer:
-12 and -6
Step-by-step explanation:
solve ABC triangle if b=15, c=13, and A=50
Emergency question!! Please help right now!!
Ayúdeme es urgente .por favor
What is the slope of line 3x - y = 18
Answer:
ok do 3 times whatever to make 18 so the answer is probly 6y
Step-by-step explanation:
Zoey made 6 3/4 of fruit salad for a picnic. At the picnic, they ate 1/3 of the fruit salad. How much fruit salad did they eat?
Answer:
[tex]4\frac{1}{2}[/tex] of fruit salad
Step-by-step explanation:
Answer:
2 1/4
Step-by-step explanation:
6 3/4 = 21 / 4
27 /3 x 4 =
9 / 4 =
2 1/4
The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Growth mindset Fixed mindset
Attended every practice 28 12
Missed at least 1 practice 9 58
Answer:
First table
28 + 9 = 37
12 + 58 = 70
Answer table
28/37 = 0.76
12/70 = 0.17
9/37 = 0.24
58/70 = 0:83
Step-by-step explanation:
Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon.
Round to the nearest tenth, if necessary.
Answer:
[tex]\theta = 25.7^\circ[/tex] --- Measure of each exterior angle
[tex]\theta = 154.3^\circ[/tex] --- Measure of each interior angle
Step-by-step explanation:
Given [Missing from the question]
[tex]n = 14[/tex] --- number of sides
Required
- The measure of an exterior angle
- The measure of an interior angle
For an n-sided polygon, the measure of each exterior angle is:
[tex]\theta = \frac{360}{n}[/tex]
Substitute 14 for n
[tex]\theta = \frac{360}{14}[/tex]
[tex]\theta = 25.7^\circ[/tex]
For an n-sided polygon, the measure of each interior angle is:
[tex]\theta = \frac{(n - 2) * 180}{n}[/tex]
Substitute 14 for n
[tex]\theta = \frac{(14 - 2) * 180}{14}[/tex]
[tex]\theta = \frac{12 * 180}{14}[/tex]
[tex]\theta = \frac{2160}{14}[/tex]
[tex]\theta = 154.3^\circ[/tex]
5.6 dividido en 18.8
Answer:
3.357
Step-by-step explanation:
18.8 / 5.6 = 3.357
Which angles are supplementary angles?
Answer:
Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line.
Answer - KJM and KJH
If i'm wrong please tell me
if 5/7y=105,what is the value of y
Answer:
look at the picture i sent......
ASAP
-will mark brianist
Answer:
20-12
35-21
40-24
Step-by-step explanation:
You times both numbers by the same value
Answer:
1st is 12
2nd is 35
3rd is 40
Step-by-step explanation: