[tex] \: \: \: \: \: \: [/tex]
[tex]6! = 720 \\ \\ 7! = 5040[/tex]
Step-by-step explanation:
[tex]6![/tex]
Usen! -n × ( n - 1 )×...× 2 x 1 to = calculate the factorial[tex]6 \times 5 \times 4×3× 2×1[/tex]
calculate the product[tex] = 720[/tex]
[tex]7! = [/tex]
Usen! - nx(n-1)×...*x2x1 to = calculate the factorial[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]
calculate the product[tex] = 5040[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Answer:
720 and 5040
Step-by-step explanation:
Using the definition of n! ( n factorial )
n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
What is an equation of the line that passes through the points (-6, -4)
and (-4, 0)?
Answer:
y=2x+8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeLet's write the equation in slope-intercept form, which is the most common way to do it.
We'll need to start by finding the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:
[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]
Substitute these equations into the formula to find the slope (m):
m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{0- -4}{-4--6}[/tex]
Simplify
m=[tex]\frac{0+4}{-4+6}[/tex]
Add the numbers together
m=[tex]\frac{4}{2}[/tex]
Divide
m=2
The slope of the line is 2
We can immediately plug it into the formula for slope-intercept form as m:
y=2x+b
Now we need to find b
As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b
Taking (-4, 0) for example:
Substitute -4 as x and 0 as y:
0=2(-4)+b
Multiply
0=-8+b
Add 8 to both sides
8=b
Substitute 8 as b into the equation
y=2x+8
Hope this helps!
information about five planets is shown in the table below. write down the name of the planet with the greatest mass
Answer:
Jupiter
Step-by-step explanation:
Jupiter is 318 times as massive as earth
Jupiter mass is 300 times more bigger than earth and it has a diameter at 140,000 km
b. 6 times the sum of 12 and 8
Answer:
120
Step-by-step explanation:
12+8 = 20
20*6 = 120
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
1
Step-by-step explanation:
"exceeds"= greater than
d is greater than 7 hours
d > 7
(Pythagorean theorem) do the following lengths form a right triangle? Show steps
Answer:
8^2+6^2=10^10?
64+36=100
Yes
Hope This Helps!!!
Answer:
Yes,
Step-by-step explanation:
8^2 +6^2=100
[tex]\sqrt 100\\[/tex]= 10
Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number
The unknown number expressed as a mixed fraction is 11 19/20
Let the unknown number be "x"
The sum of the number and 1.75 is expressed as x + 1.75
Half the sum of a number and 1.75 is 1/2(x+1.75)
Equating the result to -5.1 wil give:
1/2(x+1.75) = -5.1
Solve the resulting equation
x + 1.75 = 2(-5.1)
x + 1.75 = -10.2
x = -10.2 - 1.75
x = 11.95
x = 1195/100
x = 11 95/100
Hence the unknown number expressed as a mixed fraction is 11 19/20
Learn more here: https://brainly.com/question/14583740
Answer
-11 19/20
I took the test and got it right!
. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?
Answer:
20000
Step-by-step explanation:
Answer:
20000
Step-by-step explanation:
Anitha types 200 words in half an hour How many words will she type in 12 minutes , if typing speed remains the same
Answer:
she'll type 80 words.
Step-by-step explanation:
200/x=30/12
x=(200×12)/30=80
#3) Find the measure of arc N).
Answer:
Arc NJ is 65°
Step-by-step explanation:
An entire circle measures 360°
Therefore, add all the given dimensions and subtract the sum to 360
> 150+50+50+45 = 295
> 360-295 = 65
Therefore, the measurement of arc NJ is 65
6.0 x 10^6 in scientific notation
Answer:
6,000,000
Step-by-step explanation:
the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)
A jar contains 450 beans. Of all beans, 1/5 are mung beans and the rest are pinto beans. What is the ratio of mung beans to pinto beans?
PLEASE HELP ME!
=======================================================
Explanation:
1/5 of the beans are mung, so 4/5 of the beans are pinto. The two fractions add to 5/5 = 1.
Ignore the denominators and focus on the numerators for each fraction. We have 1 mung and 4 pinto. The values are read in this order to form the ratio 1:4 which is our answer. We cannot reduce this ratio any further.
The order is important because saying 4:1 would mean that we have 4 mung beans and 1 pinto, when it's the other way around.
Side note: The value 450 isn't needed. We could easily change it to any other multiple of 5 and get the same exact answer.
A stadium has fixed expenses of $20,000 per event. Last month it put on three big events and spent $50,000, $35,000, and 40,000 in advertising for them respectively. These events ended up earning a total of $500,000 in revenue. What was the stadium's profit margin last month?
Answer:
315,000
Step-by-step explanation:
(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000
500,000-185,000=315,000
Given: F(x)=3 x^2 + 1, G(x)= 2 x-3 , H(x)=x
F(G(x))=
Answer:
f(g(x)) = 12x² - 36x + 28
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x) )
= f(2x - 3)
= 3(2x - 3)² + 1 ← expand factor using FOIL
= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3
= 12x² - 36x + 27 + 1 ← collect like terms
= 12x² - 36x + 28
Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?
Answer:
29.2425
Step-by-step explanation:
25%=0.25
38.99 * 0.75 = 29.2425
graph :
x > - 3 and y < 1
Answer:
Step-by-step explanation:
i dont know if this helped u but if it did let me know
How to solve this? :)
Step-by-step explanation:
by understanding how a number actually works.
when I write e.g. the number 2648, what did I actually tell you ?
that there is a value or quantity that is
8×10⁰ + 4×10¹ + 6×10² + 2×10³
every number you or anybody else has ever written represented this type of information.
so, now we have a 2-digit number : xy
its value is : y×10⁰ + x×10¹
and because 10⁰ = 1 and 10¹ = 10, this is simply
x×10 + y or 10x + y
the description tells us that
|x - y| = 2
and that xy + yx = 132
that means
10x + y + 10y + x = 132
11x + 11y = 132
we can divide by 11 and get
x + y = 12
like 8+4 or 9+3.
and we know the difference between x and y is 2
like 6 and 4, or 1 and 3.
normally we should know the solution already (I do), but let's finish it formally.
we use one scenario of the absolute value equation :
x - y = 2
x = y + 2
and we use this in the second equation :
y + 2 + y = 12
2y + 2 = 12
2y = 10
y = 5
x = y + 2 = 5 + 2 = 7
the same, just with reversed positions, is the result when using
y - x = 2
so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.
-2 1/4 x -4/5
please help
Answer:
1.8
Step-by-step explanation:
-2 1/4 x -4/5 = 9/5
= 1 4/5
= 1.8
What is the slope of the line with equation 2x−5y=52?
Answer:
m = 2/5
Step-by-step explanation:
2x - 5y = 52
-5y = -2x + 52
y = 2/5x - 52/5
The slope of the line with equation 2x−5y=52 is 2/5.
The given equation of line is 2x−5y=52.
What is the slope of a equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
The given equation 2x−5y=52 can be rewritten as
2x-52=5y
⇒ y = 2x/5-52/5
Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c
So, m=2/5
Therefore, the slope of the line with equation 2x−5y=52 is 2/5.
To learn more about the slope of an equation visit:
https://brainly.com/question/13496015.
#SPJ2
plz help will mark as brainliest
Answer:
B po? I'm not sure ehh hehehe
Answer:
18
Step-by-step explanation:
2y+3y+5y=180
10y/10=180/10
Y=18
PLS HELP ALSO CHECK OUT MY LAST QUESTIONEACH ONE IS 20 POINTS!!!!
a scuba diver descended at a rate of 2 1/4 feet per second. I f 0 reprasents the serface of the water and distance below the serface is negative, which expression reprasents one way to calculate the location of the diver after 12 have a half (12 1/2) seconds?
A. 12 1/2 - 2 1/4
B. 12 1/2 + 2 1/2
C. 12 1/2 x 2 1/2
D. 12 1/2 x (-2 1/4)
Answer:
D
Step-by-step explanation:
Non of the other answers have negatives in them. And you would solve with multipliation.
It's D. Look at the one above me.
what is this matrix called
[2,5,6]
Answer:
The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.
Answer:
You need more information for this question to be solved.
Step-by-step explanation:
Are any of the variables given?
Sophie can cut Two-fifths ft piece from a 4 ft length of wood.
Answer:
she can cut 2/20=18 left
Step-by-step explanation:
Answer:
the anser is 10 edge 2022
Step-by-step explanation:
Question 1 (2 points)
Find the missing side.
А b с
14
23
B
O
37
Answer:
USED YOUR BRAIN NOT BRAINLY...
Step-by-step explanation:
TY
50% of 25% is the number. What is the number?
Answer:
1/8
Step-by-step explanation:
50/100 * 25/100
1/2 * 1/4 = 1/8
Kayla wants to create a right triangle with side lengths 16 millimeters, 30 millimeters, and 34 millimeters. Is this possible? Why or why not?
A- no, because 16+30 is not equal to 34
B- no, because 16 squared + 30 squared is not equal to 34 squared
C- yes, because 16 squared +30 squared is equal to 34 squared
D- yes, because 16+30 is greater than 34
Answer:
C
Step-by-step explanation:
16² = 256
30² = 900
256 + 900 = 1156
34² = 1156
Answer: C
Answer:
B: No, because 16 squared plus 30 squared is not equal to 34 squared
Step-by-step explanation:
So if she wants to make a right triangle that would look like this
| \
| \
30mm | \ 34mm
| \
|_______\
16mm
Which would make the Pythagorean theorem look like this
16^2 + 30^2 = 34^2
265 + 900 = 1156
1165 = 1156
So you answer would be B
If 15 & 36 are two sides of a right triangle what other number makes a Pythagorean Triples.
Answer:
39
Step-by-step explanation:
15^2 +36^2 = c^2
225 + 1296 = 1,551
√1551 = 39
Find the nth term of this quadratic sequence 4, 7, 12, 19, 28
Answer:
The answer is 84
Step-by-step explanation:
4,7,12,19,28,39,52,67,84
Can someone please help me solve this please
Step-by-step explanation:
j(x) = 2x + 9
=> 2x + 9 = j(x)
=> 2x = j(x) - 9
=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29
what is 2 2/3×3 1/4 as a fraction form
Answer:
8 2/3
Step-by-step explanation:
2 2/3×3 1/4
Change to improper fractions.
2 2/3=8/3
3 1/4=13/4
8/3x13/4=26/3
=8 2/3
Hope this helps :)