[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]
Answer:
[tex]\boxed{\sf{120}}[/tex]Step-by-step explanation:
Use the factorials formula.
Factorials formula:
[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]
→ 6!/3!=6*5*4
⇒ 6*5*4
Solve a order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractFirst, multiply.
→ 6*5*4
⇒ 6*5=30
⇒ 30*4=120
= 120
Therefore, the correct answer is 120.I hope this helps you! Let me know if my answer is wrong or not.
Does 5, 7, and 9 make a right angle?
No
Step-by-step explanation:
For a triangle to have a right angle the square sums of the legs have to equal the square of the hypotenuse.
In this case 9 is the hypotenuse which is the longest side in a triangle. 5 and 7 are the two smaller sides which make them the legs.
Putting this set of numbers into the pythagorean theorem is the way to solve this.
5²+7² should equal 9² if the triangle is a right triangle.
Solve the squares: 25+49=81
This would add up to be 74 and that is not equal to 81, so by this statement we can conclude that 5, 7, and 9 do not make a right triangle.
Solva.
3
ba
a+b=21
1
a = 37
0 = 20
a = 20
b = 11
1
o = 12
b = 9
b = 15
b = 16
10.
4
The values of a and b in the sytem of equation are 12 and 9 respectively.
How to find the variables(a and b) in the sytem of equation?b = 3 / 4 a
a + b = 21
Therefore, let's substitute b in equation(ii)
a + b = 21
a + 3 / 4 a = 21
4a + 3a / 4 = 21
7a / 4 = 21
cross multiply
7a = 21 × 4
7a = 84
divide both sides by 7
a = 84 / 7
a = 12
b = 3 / 4 a
b = 3 / 4 × 12
b = 36 / 4
b = 9
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Find the volumn of prism given figures
[tex]v = (5 \times 3 \times 6.5) + (2 \times 4 \times 6.5)[/tex]
[tex]v = 15 \times 6.5 + 8 \times 6.5[/tex]
[tex]v = 97.5 + 52[/tex]
[tex]v = 149.5 \: \: \: {cm}^{3} [/tex]
Which of the following can hold about 2 liters of water? A. a lemonade pitcher B. a pond C. a coffee mug D. a medicine dropper
solve the inequality n − 2 ≥ 4 or n − 2 ≤ 9
Answer:
n = 6 and n = 11
Step-by-step explanation:
there are 3 numbers in ascending order such that the difference of first two is 10 and that of last two is 12. if the sum of three numbers is 47, find the least number.
Answer:
17/3
Step-by-step explanation:
x + y + z = 47
y - x = 10 x = y - 10
z - y = 10 z = 10 + y
y-10 + y + 10 + y = 47
3 y = 47
y = 47/3 x = 17/3 z = 77/3
Answer:
5
Step-by-step explanation:
Consider the first six terms of this sequence: 3,6,12,24,48,96,.......... What would be the sum of the first 19 terms of this sequence? *
393,216
786,429
1,572,861
1,162,261,467
Answer:
1,572,861 is the answer please
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
Range of x: [tex]0\leq x < 12[/tex] or [tex]0\leq x\leq 11[/tex]
Largest possible value of [tex]x[/tex] is 19
Mean mark = 11.41 (nearest hundredth)
Step-by-step explanation:
The mode is the number that appears the most, so if the mode is 10, [tex]x[/tex] has to be smaller than 10.
We can say this in two ways:
[tex]0\leq x < 12[/tex] or [tex]0\leq x\leq 11[/tex]
since the number of points and players are positive integers.
The median is the middle value when the values in the data set are placed in order from smallest to largest.
If 10 is the median mark, to find the maximum number of 15s, sum the number of players scoring 5 and 10 points and subtract 1:
8 + 11 = 19
Therefore, the largest possible value of [tex]x[/tex] is 19.
The mean is the total of the numbers divided by how many numbers there are.
To find the total marks, multiply the number of points by the number of players, and sum (using x = 19):
[tex]\textsf{Total points}=5 \times 8+10\times12+15 \times 19=445[/tex]
Total number of players = 8 + 12 + 19 = 39
[tex]\textsf{mean mark}=\dfrac{445}{39}=11.41\:\textsf{(nearest hundredth)}[/tex]
if f(x)= 3/x+2 - /x-3, complete the following statement: The domain for f(x) is all real numbers ___than or equal to 3.
Answer:
greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear
i’m not sure how to do this any help would be great
Answer:
785.4cm^3
Step-by-step explanation:
(10÷2)^2*π=25π
25π*10=250π≈785.4
Find m v I need help with these two questions
Answer:
Step-by-step explanation:-15)
ABCD is quadrilateral
∠MBC+∠ABC=180°
∠ABC = [tex]\tt 180-71=109^o[/tex]
The sum of all angles of quadrilateral = 360°
[tex]\tt 10x+6+12x-2+8x-1+109=360^o[/tex]
[tex]\tt 31x+112=360[/tex]
[tex]\tt 31x+112-112=360-112[/tex] ( Subtract 112 from both sides)
[tex]\tt 31x=248[/tex] (Simplify)
[tex]\tt \cfrac{31x}{31}=\cfrac{248}{31}[/tex] (Divide both sides by 21)
[tex]\tt x=8[/tex]
___
16) Find m∠v
The polygon has 6 sides
Sum of angles:- (6-2)=180= 720°
so,
[tex]\tt 90+9x-19+111+5x+8+128+7x+3=720[/tex]
[tex]\tt 2x+321=720[/tex]
[tex]\tt 21x+321-321=720-321[/tex] ( Subtract 321 from both sides)
[tex]\tt 21x=399[/tex] (Simplify)
[tex]\tt \cfrac{21x}{21}=\cfrac{399}{21}[/tex] ( Divide both sides by 21)
[tex]\tt x=19[/tex]
Therefore, m∠v=19
____
bryan is a salesman in a buy and sell who earns 3 1/2% commission on every item he sell. if he sold a total of 150,000 how much is his commision
with solution please
Answer:
If commission is 31/2 percent check first image else go through second picture
Estimated employment change by sector 2004–2020 a bar graph titled estimated employment change by sector from 2004 to 2020 has year on the x-axis and percentage of change in employment on the y-axis. for the high-tech sector, the percentages for years 2004, 2007, 2009, 2011, and 2020 are: 12, negative 2, 3, 3, 16. for the private sector, the percentages for years 2004, 2007, 2009, 2011, and 2020 are: 4, negative 4, 2, 2, 13. how was the high-tech sector affected during the recession of 2007? high-tech employees were more likely to be unemployed. employment in the high-tech sector exceeded 2004 levels. high-tech and private employment was about the same. high-tech sector employees were less likely to lose their jobs.
The high-tech sector employees were less likely to lose their jobs option fourth is correct.
It is given that the estimated employment change by sector 2004–2020 a bar graph titled estimated employment change by sector from 2004 to 2020 has the year on the x-axis and the percentage of change in employment on the y-axis.
It is required to find the correct statement.
What is a bar chart?It is defined as the visual way to show the data a systematically with rectangle box on the x-axis and y-axis. The height and vertical lines show the proportional data.
From the given data many businesses stagnated and had to fire employees, but these were primarily people who could be quickly replaced by someone willing to work for a lower wage.
Employees in the high-tech sector are frequently too valuable to the company to be laid off, therefore their job security was strong because no one could replace them.
Thus, the high-tech sector employees were less likely to lose their jobs option fourth is correct.
Learn more about the bar chart here:
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Answer:
D- High-tech sector employees were less likely to lose their jobs.
Step-by-step explanation:
edge economics 22
The diameter of a circle is 8 inches. What is the and
with area 24 square inches?
8 inches
to find:the area
solution:If the diameter is 8 inches, the radius is 4 inches.
a= Pi* r^2
= 16 Pi square inches.
pi= 3.14159 》 16pi
= 15.2655 sq inch
(-4,9), (8,-7)
The endpoints of a diameter of a circle are given. Write the standard equation of the circle.
Answer:
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
Step-by-step explanation:
distance between points is diameter
x^2= (8--4)^2+(-7-9)^2
x^2=12^2+16^2
x^2=144+256
x^2=400
diameter x=20 so radius =10
center point =midpoint (-4+8)/2 and (-7+9)/2
center point =(2,1)
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
7
Write the expanded form of 0.031 with fractions. Then complete
the steps to show how to write 0.031 as a fraction.
0.031 =
Х
1
+
100
Х
1,000
3
=
1
+
=
+
1,000 1,000
1,000
Answer:
soulutions
0,03| = 3×1^100 × 1× 1^1000
=3^100 + 1^1000
=30^1000 + 1^1000
=31^1000
(3=3×10 =30 )
(100 1000 1000 )
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so much!
Answer:
obtuse angle is 155'
Reflex angle is 205'
Step-by-step explanation:
Just add the angles between the arecs
What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument.
x=1/3
x=1
x=7/3
x=4
Answer:
x = 1/3
Step-by-step explanation:
[tex] = > log_{(3x + 4)}125 = 3[/tex]
[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]
[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]
[tex] = > 3x = 5 - 4 = 1[/tex]
[tex] \therefore \: \: x = \frac{1}{3} [/tex]
Hope you've understood the solution.
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5 x)?
Answer:
x=2
Step-by-step explanation:
You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2
Answer:
x=2
Step-by-step explanation:
Distribute the 2.5 and 4 out
15x - 10 = 10 + 6 +2x
Add the constant variables together
15x - 10 = 16 +2x
Move the x on one side and the constant on the other
13x = 26
Divide both sides to find x
x=2
In the relation (a+c)^2=t make C the subject
Answer:
See below
Step-by-step explanation:
(a+c)^2 = t
(a+c) = sqrt t
c = sqrt(t) - a
Emilio's Publishing prints and sells cookbooks to stores for $4.50 each. Their weekly profits can be modeled by the quadratic function P(x) = −0.1x2 + 15x + 120, where P(x) is profit and x is the number of $0.05 price increases. Use the graph to answer the question.
Graph of function p of x equals negative 0.1 x squared plus 15 x plus 120. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 120), increases to (75, 682.5), and decreases through (157.614, 0).
Approximately what amount should the company sell each cookbook for to maximize profit? (1 point)
$8.25
$9.50
$10.20
$17.00
Using the vertex of the quadratic equation, it is found that the profit will be maximized when each cookbook is sold for $8.25.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is modeled as follows, considering x as the price divided by $0.05.
P(x) = -0.1x² + 15x + 120.
The coefficients are a = -0.1 < 0, b = 15, c = 120, hence the x-value of the vertex is given by:
[tex]x_v = -\frac{15}{2(-0.1)} = \frac{15}{0.2} = 75[/tex]
75 increases of $0.05, hence the price will be of:
4.5 + 75 x 0.05 = $8.25.
Hence, the profit will be maximized when each cookbook is sold for $8.25.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
V = 1046.9
Step-by-step explanation:
The equation for volume is (4/3)pi r^3
substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3
In situations where the employer and employee split the expense of a cell phone, should the employer be permitted to inspect the text messages?
Yes
No
Explain why you voted the way you did.
Answer:
Yes, because the employer purchased half the price of the cell phone. They can read the messages on their property.
Step-by-step explanation:
Jenny chose two cards randomly from a deck. What is the probability of getting an ace and then a king?
A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
What percent of the 8th graders estimated they spend more than an hour a day on social media? Round your answer to the nearest whole number percent.
43
so sorry if this is incorrect.
The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.
more less
7th 12 14
8th 20 26
To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.
20 students out of 46 students (20+26) answered "more" which is about 43.48%
Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
Learn more about the percentages here:
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#SPJ2
A regular octagon has an apothem of approximately 4.0 cm and a perimeter of approximately 26.4 cm. Find the area of the octagon.
Answer:
[tex]52.8cm^{2}[/tex]
Step-by-step explanation:
Perimeter = 26.4 cm
Apothem = 4.0 cm
The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]
when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]
math sceenshot answer math problem
Answer:
the total amount owed for the car is $7500
Step-by-step explanation:
5% of $6000 is ($6000×5)÷100= $300
so $300×5= $1500
now the 5 yrs interest auditioned to the $6000 loan equals $7500.
($300×5)+$6000= $7500
Which of the following is closest to the circumference of the stump?
A)
5.495 ft?
B)
9.617 ft?
C)
10.99 ft
D)
38.465 ft2
Answer:
C):10.99
Step-by-step explanation:
The diameter is 3.5...
3.5 x 3.14 = 10.99
The cirucmference of the stump given its diameter is closest to 10.99 ft.
What is the circumference of the stump?The circumference of the stump is the distance round the stump. The stump is in the shape of a circle. Thus, the formula for the circumference of a circle would be used to determine the circumference of the stump.
Circumference of a circle = πD
Where:
π = 3.14 D = diameter = 3.53.14 x 3.5 = 10.99ft
Please find attached an image of the stump. To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
Please help, I am struggling with this. Question is in image.
Answer:
-7 15/17. 49 sq. 7.7 187/24
Step-by-step explanation:
thats the order least to greatest 187/24= 7.79 and 49 sq = 7
A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the following associations were observed the linear model P(1) - 2,376 + 73,219 can
be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000. The linear model B(l) 2,4140 + 56, 545 can be used to estimate the number of college
seniors who graduated with a bachelor's degree in biology, years after 2000
Which of the following statements are true?
The number of psychology degrees increases by about 73,219 each year after 2000
The number of biology degrees increases by about 2,414 each year after 2000,
About 73,000 students graduated with degrees in psychology in 2000.
About 2,400 students graduated with degrees in biology in 2000.
In 2000, more students graduated with psychology degrees than biology degrees.
Using linear function concepts, it is found that the correct statements are given by:
The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:
P(t) = 2,376t + 73,219.
For biology, the amount is given by:
B(t) = 2,414t + 56,545.
Then, the true statements are given by:
The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.More can be learned about linear function concepts at https://brainly.com/question/24808124