[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.
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
I NEED THIS RIGHT NOW
Answer:
E
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
the reason is, for a direct relation between x and z we have too little information.
z could be huge, much, much bigger than y and x, or just bigger by 1 than y.
so, assume e.g. the following 2 scenarios
z = 6
y = 5
x = 4
and
z = 600
y = 26
x = 3
A
x + y > z
is true for the first scenario, but not for the second. so, it is not always true.
B
z - x < z - y
no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.
C
xz > yz
no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.
D
z/x < z/y
no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.
E
yz > xy
in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.
.
How many degrees are in a circle?
180°
300°
90°
360°
Answer:
360
Step-by-step explanation:
each part of circle are divided into 360
The first steps in writing f(x) = 3x2 – 24x 10 in vertex form are shown. f(x) = 3(x2 – 8x) 10 (startfraction negative 8 over 2 endfraction) squared = 16 what is the function written in vertex form? f(x) = 3(x 4)2 – 6 f(x) = 3(x 4)2 – 38 f(x) = 3(x – 4)2 – 6 f(x) = 3(x – 4)2 – 38
The given quadratic equation 3x^2 – 24x + 10 can be written in vertex form that is f(x) = 3(x – 4)2 – 38.
What are quadratic equations?A quadratic equation is an equation of degree 2 and the standard form of a quadratic equation [tex]ax^{2} +bx+c[/tex] where x is the variable and a,b, c are real numbers.
Following the steps already shown to transform the given function into the vertex form,
[tex]f(x) = 3(x^{2} - 8x + 16) + 10 - 3(16)\\f(x) = 3(x - 4)(x - 4) + 10 - 48\\f(x) = 3(x - 4)2 - 38[/tex]
Therefore, the function written in vertex form is f(x) = 3(x – 4)2 – 38.
Learn more about quadratic equations;
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Answer:
The answer is D!
Step-by-step explanation:
Find the sum of these polynomials. (2x^2+x+3)+(3x^2+2x+1)
Answer:
5x²+3x+4
Step-by-step explanation:
(2x²+x+3)+(3x²+2x+1)
add 2x² and 3x² since they're like terms
5x²+x+3+2x+1
add 2x and x = 3x
5x²+3x+3+1
add 3 and 1 = 4
5x²+3x+4
A suit is on sale for $414 , which is 28% less than the regular price.
What is the regular price?
Answer:
.72x=414
Step-by-step explanation:
-10 - | 5 -12 | + 3 + | 5 + 12 | =
Answer:
3
Step-by-step explanation:
the absolute value function always returns a positive value , that is
| - a | = | a | = a
given
- 10 - | 5 - 12 | + 3 + | 5 + 12 |
= - 10 - | - 7 | + 3 + | 17 |
= - 10 - 7 + 3 + 17
= 3
What are the coordinates of the image of point K(1, 3) after a reflection over the line y = –1
Answer:
1, -5
Step-by-step explanation:
you can this solve easily
3 - -1 = 4 units down from y = -1
x does not change in this reflection
how do i find angle measurements
Answer:
if youre doing this on paper use a protractor
Step-by-step explanation:
place the straight line ontop of the side you're trying to read the angle from and go in a clockwise direction when using the compass until you find the angle degree. hope that helps:-)
The table shows differences in political ideology, by education, for a random sample of voters. Use the data to solve the problem.
Find the probability that a randomly selected person from this group is conservative, given they have attended college
P(conservative attended college) = (Type an integer or a simplified fraction)
Answer:
9/33
Step-by-step explanation:
find the total of people that have attended college (9+12+12 =33)
now go to the number of people that are both college and conservative (9)
The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Given that table shows differences in political ideology, by education, for a random sample of voters.
To find the total of people that have attended college (9+12+12 =33)
P(conservative attended college) = (Type an integer or a simplified fraction)
To the number of people that are both college and conservative (9)
P(conservative attended college) = 9/33
Learn more about probability here;
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What is the value of x?
Enter your answer in the box.
x =
Answer:
(3x+50)°=(6x-10)°
3x-6x= -10°-50°
-3x/-3 = -60/-3
x=20
The measure of arc MQL IS degrees
Answer: 214 degrees
Step-by-step explanation:
For the point p and q, find the distance d(p,q) and the coordinates of the midpoint m of the segment pq.
The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2
How to calculate the distance between two points and midpoint?The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.
The formula for calculating the midpoint is expressed as:
[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]
Given the coordinate points p(-10, -8) and (-5, -3).
Calculate the midpoint of pq
[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]
Hence the midpoint of the coordinate pq is (-7.5, -5.5)
Determine the distance pq
pq = √(-3+8)²+(-5+10)²
pq = √(5)²+(5)²
pq = √50
pq = 5√2
Hence the distance between the point pq is 5√2
Learn more on midpoint and distance here: https://brainly.com/question/17498679
Solve for the exponential for x
Answer:
x = 1
Step-by-step explanation:
[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Using Definition of Logarithm
7 ^(4x−6) = 1/49
Use the rules of exponents and logarithms to solve the equation.
7 ^(4x−6) = 1/49
Take the logarithm of both sides of the equation.
log(7^4x-6) = log(1/49)
The logarithm of a number raised to a power is the power times the logarithm of the number.
(4x-6)log(7) = log(1/49)
Divide both sides by log(7).
4x-6 = log(1/49)/log(7)
By the change-of-base formula log(a)/log(b) = log(small b under) (a).
4x-6 = log(small 7 under) (1/49)
Add 6 to both sides of the equation.
4x=−2−(−6)
Divide both sides by 4.
x = 4/4 which is the same as x = 1
jacobs paints the outside of the rectangular primsim below, except for thr bottom the length is 9 cm and the width is 4/3. What is the total area that he paints?
Answer:
the area of triangle formula is A = B*H / 2
so it means 16 square = (x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4
Step-by-step explanation:
What is the experimental probability of hitting a polka dot balloon or solid balloon
there are 18 solid balloons, 5 polka dot balloons and 17 striped balloons
Answer:
18 plus 5 plus 17 gives 40 therefore ; p is eq 23/40
Please Help Me!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.
This is a TWO part question, make sure to answer both part A. and B.
A. Find the amount of interest. Show the math computation use to find the amount of interest.
B. What was the monthly payment? Show the work used to find this answer.
Answer:
a. 1710 b. 71.25
Step-by-step explanation:
the formula for simple interest is i=prt
2(9500)(0.09)= 1710
to find the monthly payment, divide by the number of months.
1710/24=71.25
Carmella just planted seeds for her vegetable garden. Anxious to view the progress of her plants, she checks her garden one afternoon, but sees that 4 weeds she has never seen before are growing in her vegetable garden. After a few weeks, she notices that the number of weeds appears to be tripling each week. If she doesn’t do something, she calculates that there could soon be 972 weeds in her garden. If represents the number of weeks, which equation could be used to determine what week Carmella would expect to find 972 weeds in her garden
Answer: 4(3)^w = 972
Write the standard equation for the circle center (6, 7), r = 9.
Answer:
[tex](x-6)^{2} +(y-7)^{2} =81[/tex]
Step-by-step explanation:
The general equation for a circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius
Plug in the (6,7) for the center and 9 for r
Classify angles below as acute,obtuse,right,straight or reflex.
Answer:
Top is straight
Middle is reflex
Bottom is acute
Step-by-step explanation:
Straight is self explanatory
Reflex angles are greater than 180 and less than 360 degrees
Acute angles are under 90 degrees
Answer:
the very top one is straight.
8. reflex (because over 180 degrees)
9. acute (under 90 degrees)
Evaluate the Expression
25y-(-13)= type your answer....
when y = 7
Answer:
188
Step-by-step explanation:
25(7)-(-13)
=175 - 1(-13)
=188
The triangles are similar.
What is the value of x?
Answer: The answer is 13, read on to find out
Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.
The lowest common factor is 4 because all the numbers can be divided by the number 4.
20 divided by 4 is 5 which is already shown on the graph
48 divided by 4 is 12
All we have to do now is 52 divided by 4
13Hope I helped you answer the question! Have a great day/afternoon!
What is the midpoint of XY if X is located at (-12, 8) and Y is located at (10, 17)
A. (-2. 25)
B. (-1, 12 5)
C. (-2, 11.5)
D. (32, 26)
E. None of the above
Answer: B
Step-by-step explanation:
A swimming pool measures 10 feet by 8 feet by 5 feet. What is the volume of the swimming pool
Answer:
400 ft^3
Step-by-step explanation:
To find volume you simply do length x width x height
So, 10 x 8 x 5 which equals 400 ft; We make it have a power of 3 (cubed) because it is 3 dimentional object.
Hope this helps!
PLS HELP im actually cryin i stress over math a lot....
Answer:
4 mg
Step-by-step explanation:
Plug in everything that they have given for the equation
since x is the number of half-lives, and iodine-131 has a half-life of 8, and the question is asking for how much there will be left after 32 days, 8 * 4 = 32, so x will be 4.
y = 64(0.5)^4
and solve
y = 4
so there will be 4 mg of iodine-131 left after 32 days.
Answer:
4 mg
Step-by-step explanation:
half- life is 8 days then 32 ÷ 8 = 4 half- lives , then
y = 64 [tex](0.5)^{4}[/tex] = 64 × 0.0625 = 4 mg left
Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.
The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
What are the coordinates of vertex for a quadratic function?For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:
[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]
For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)
Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:
[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]
Thus, the coordinates of vertex of [tex]y = ax^2 + bx + c[/tex] is:
[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]
The missing steps of work of Jan'ai are:
Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) = -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.[tex]y = 5x^2-20x-25[/tex]
[tex]y = 5(-2)^2-20(-2)-25[/tex]
[tex]y = 35[/tex]
so (-2,35) is the coordinate of the vertex, which denotes the minimum.
So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],
Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25
The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2
But Jan'ai didn't putted that negative sign before b. in the 6th step.
Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
Learn more about the vertex form of a quadratic equation here:
https://brainly.com/question/9912128
Answer:
The answer is D on edge
Step-by-step explanation:
please answer these for me! Right answers only. Thanks
Answer:
For all of these triangles apply the formula;
A = BH x 1/2
Where 'B' represents the base, 'H' stands for the height, and 1/2 just means to divide the product of the two lengths (base x height) by 2.
1.
Base = 9.1
Height = 31.2
Plug into formula:
A = BH x 1/2
A = 9.1(31.2) x 1/2
A = 283.92 x 1/2
A = 283.92/2
A = 141.96 square centimetres.
2.
Base = 5
Height = 3 3/4 which can be considered 3.75
Plug into formula:
A = BH x 1/2
A = 5(3.75) x 1/2
A = 18.75 x 1/2
A = 18.75/2
A = 9.375 square kilometres.
3.
Base = 2.4
Height = 3.2
Plug into formula:
A = BH x 1/2
A = 2.4(3.2) x 1/2
A = 7.68 x 1/2
A = 7.68/2
A = 3.84 square inches.
4.
Base = 11
Height = 60
Plug into formula:
A = BH x 1/2
A = 11(60) x 1/2
A = 660 x 1/2
A = 660/2
A = 330 square millimetres.
5.
Base = 10
Height = 13 1/2 which can be considered 13.5
Plug into formula:
A = BH x 1/2
A = 10(13.5) x 1/2
A = 135 x 1/2
A = 135/2
A = 67.5 square feet.
Answer:
1. 141.96 cm²
2. 9⅜ km²
3. 3.84 in
4. 10.39mm
5. 66.67 ft
Step-by-step explanation:
Formula of Area of Triangle : ½ × base × height
1. = ½ × 9.1 × 31.2
= 9.1 × 15.6
= 141.96 cm²
2. = ½ × 3¾ × 5
= ½ × 15/4 × 5
= 15/8 × 5
= 75/8 = 9⅜ km²
3. = ½ × 3.2 × 2.4
= 3.84 in
4. = tan c = AB/BC
c = tan -¹ (AB/BC)
c = tan -¹ (60/11)
c = 79.61
A = 90 - 79.61 = 10.39mm
5. = ½ × 13⅓ × 10ft
= 66.666 ≈ 66.67 ft
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
3. A hexagonal pyramid has the following measures:
base area = 41.5 cm2
slant height = 7cm
height = 6 cm
area of one lateral face = 14 cm?
a. Calculate the pyramid's volume. Show your work.
Include units.
b. Calculate the pyramid's surface area. Show your
work. Include units.
The surface area of the hexagonal pyramid is the amount of space on it
The volume of the pyramid is 83 cubic centimetersThe surface area is 125.5 square centimetersThe pyramid's volumeThe given parameters are:
base area = 41.5 cm^2slant height = 7cmheight = 6 cmarea of one lateral face = 14 cm^2This is calculated using:
V = 1/3Bh
So, we have:
V = 1/3 * 41.5 * 6
Evaluate the product
V = 83
Hence, the volume of the pyramid is 83 cubic centimeters
The pyramid's surface areaThis is calculated using:
S = L + B
Given that:
base area = 41.5 cm^2area of one lateral face = 14 cm^2A hexagonal pyramid has 6 lateral sides.
So, we have:
S = 6 * 14 + 41.5
Evaluate
S = 125.5
Hence, the surface area is 125.5 square centimeters
Read more about areas and volumes at:
https://brainly.com/question/1972490
Answer number 6 please. Bots don’t answer I’m just trying to get help
Answer:
B
Step-by-step explanation:
20 × 2/5 = 8
15 × 2/5 = 6
5 × 2/5 = 2
p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...
yeah, your welcome :)
x^4+ 4x² – 45 =0
factored form (x² - 5)(x² +9)=0
does anyone know how to solve this?
Answer:
[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]
