Answer:
Step-by-step explanation:
The number of different ways there for him to order the different steps of his morning routine will be 5040.
What is a combination?The arrangement of the different things or numbers in a number of ways is called the combination.
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
It is given that every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie. Knut always takes his shower last.
The arrangement will be calculated as below:-
The number of the activities is 7.
The number of ways = 7!
The number of ways = ( 7x 6 x 5 x 4 x 3 x 2 )
The number of ways = ( 5040 ).
Therefore, the number of different ways there for him to order the different steps of his morning routine will be 5040.
To know more about combinations follow
https://brainly.com/question/11732255
#SPJ2
Find the value of this expression if x = 3.
x²– 1/x+1
Answer:
2
Step-by-step explanation:
x^2 - 1 = 9 - 1 = 8
8 / 3 + 1 = 8/4 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2
Step-by-step explanation:
Given, x=3
Now,
x^2 - 1/ x+1
= 3^2-1/3+1
= 9-1/4
=8/4
=2
I’m crying rn I need helppp (number 4 ignore the rest) -1/2 to be left alone like without the x and what happened to the 5/2??
Step-by-step explanation:
The parallel line will have an equation of the form
[tex]y = -\dfrac{1}{2}x + b[/tex]
We solve for b by plugging in the values of the point (3, -4):
[tex]-4 = -\dfrac{1}{2}(3) + b[/tex]
[tex]\Rightarrow -8 = -3 + 2b[/tex]
Solving for b, we get
[tex]b = -\dfrac{5}{2}[/tex]
Therefore, the equation of the line parallel to 2x + 4y = 10 is
[tex]y = -\dfrac{1}{2}x -\dfrac{5}{2}[/tex]
In standard form we can write
[tex]x + 2y = -5[/tex] or [tex]2x + 4y = -10[/tex]
2. A boy scored the given marks in various class-tests during a term, (each test being marked out of 20): 15, 17, 16, 16, 10, 12, 14, 16, 19, 12, 16. (a) What is his modal marks?
Answer:
16 is the number occurring most often in the list.
Step-by-step explanation:
Find k such that 16x2 – 8 /3x+k=0 has a repeated real solution.
Answer:
k = [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Using the discriminant
Δ = b² - 4ac
For a repeated real solution then
b² - 4ac = 0
Given
16x² - [tex]\frac{8}{3}[/tex] x + k = 0
with a = 16, b = - [tex]\frac{8}{3}[/tex] , c = k
(- [tex]\frac{8}{3}[/tex] )² - ( 4 × 16 × k) = 0
[tex]\frac{64}{9}[/tex] - 64k = 0 ( subtract [tex]\frac{64}{9}[/tex] from both sides )
- 64k = - [tex]\frac{64}{9}[/tex] ( divide both sides by - 64 )
k = [tex]\frac{1}{9}[/tex]
12. In the toy factory where you work, you inspect each toy for
defects as it comes off the assembly line and report the
defect ratio at the end of each day. On Monday, you
inspected 938 toys and recorded 67 of them as defective.
What is the ratio of defective toys to the total number of
toys that you inspected?
F.
938
H.
J.
K.
1: 67
1:14
1:13
13:1
14:1
Add or Subtract: show your work 30 POINTS
Step-by-step explanation:
hopefully it is clear and understandable
:)
Find the slope of the line graphed below
Answer:
-4/3
Step-by-step explanation:
To find the slope you do rise over run. The line goes down by four and to the right by three between the two points so the slope is -4/3/
Find all points on the x-axis that are 14 units from the point (5, -7)
Answer:
can you submit the coordinet plane?
Step-by-step explanation:
I need to write an expression to represent the volume of this shape
Answer:
v = 3.14x²y
Step-by-step explanation:
volume cylinder = πr²h
r = 2x ÷ 2 = x
h = y
Answer:
It is 3.14x²y
Step-by-step explanation:
formular:
[tex]{ \bf{V = \pi {r}^{2} h}}[/tex]
r is radius, r = 2x/2 = x
h is height, h = y
[tex]{ \sf{V = (3.14) \times ( {x}^{2} ) \times y}} \\ V = 3.14 {x}^{2} y[/tex]
162×(-92)-(-162)×(-5)-162×3
Answer:
-16,200
Step-by-step explanation:
162×(-92)-(-162)×(-5)-162×3
-14,904 - 810 - 486 = -16,200
Answer:
-16200 is your answer....
Use the distributive property to simplify each expression 10(9-1)
Answer:
see below
Step-by-step explanation:
10(9-1)
Distribute
10 * 9 - 10 *1
90 - 10
80
Answer: 80
Step-by-step explanation:
10(9-1) = 90 - 10 = 80
The difference of 23 and 6 multiplied by 2
Answer:
23-6=17
17x2=34
Step-by-step explanation:
Please don't report this! I'm sorry if its wrong
Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x. WILL GIVE BRAINLIEST!
Answer:
4x² + 6x - 3 remainder -12Step-by-step explanation:
Given:
(x) = 8x³ + 16x² − 15g(x) = 2x + 1To find:
f(x) / g(x)Use long division:
f(x) / g(x) = (8x³ + 16x² − 15) / (2x + 1)2x + 1 | (8x³ + 16x² − 15
| 8x³ + 4x²
12x² + 0x - 15
12x² + 6x
-6x - 15
-6x - 3
-12
4x² + 6x - 3 remainder -12
[tex]\sf \dfrac{f(x)}{g(x)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{8x^2+16x^2-15}{2x+1}[/tex]
Refer to attachment now
A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
First calculate distances or lengths(Refer to attachment)
A:-
[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-
Refer to the attchment
C:-
[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-
EH>OH
E:-
[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Answer:
The coordinates of the HOUSE:
H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)Part ATo find the perimeter first find the length of each side:
OH = [tex]\sqrt{(1 +7)^2+(6-1)^2} = \sqrt{64+25} =\sqrt{89}[/tex] ≈ 9.43 unitsOU = [tex]\sqrt{(4-1)^2+(1-6)^2} = \sqrt{9+25} = \sqrt{34}[/tex] ≈ 5.83 unitsUS = 1 - (-8) = 9 unitsSE = 4 - (-7) = 11 unitsEH = 1 - (-8) = 9 unitsThe perimeter is:
P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 unitsPart BOH = 9.43 units (see part A)Part CUse midpoint formula:
x = (4 + 1)/2 = 2.5y = (1 + 6)/2 = 3.5The point is (2.5, 3.5)
Part DOH = 9.43 units > EH = 9 units (see part A)Part E P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 unitsPoint A and Point B are placed on a number line. Point A is located at -20 and point B is 5 less than point A. Which statement about point B is true?
a. It is located at -25 and is to the right of point A on the number line.
b. It is located at -15 and is to right of point A on the number line
c, It is located at -25 and is to the left of point A on the number line.
Answer:
so, choose c.
Step-by-step explanation:
[tex] - 20 - 5 = - 25[/tex]
{Please see the figure on the picture}
simplify 5 p - 3 - (1 + p) +( 2 - p)
Answer:
3p-2
Step-by-step explanation:
................
Answer:
3p - 2
Step-by-step explanation:
[tex]5p - 3 - (1 + p) + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + 2 - p[/tex]
[tex]5p - 1p - p[/tex][tex]5p - 1p - 1p[/tex][tex](5 - 1 - 1)p[/tex][tex] = 3p[/tex][tex] - 3 - 1 + 2[/tex]➡️ [tex] - 4 + 2[/tex]
➡️ [tex] = - 2[/tex]
[tex] = 3p - 2[/tex]
8/6-5/4=
Please help quick
Answer:
1/12
Step-by-step explanation:
The number of sweets s that each friend gets is the
number of sweets in a box n divided by the number of
friends f the sweets are shared between. Enter a formula
for the number of sweets each friend gets and enter the
number of sweets each friend gets if there are 54 sweets
and 6 friends.
Answer: 9 sweets/friend
Step-by-step explanation:
s = Number of sweets per friend
n = Number of sweets in a box = 54
f = Number of friends = 6
formula for the number of sweets each friend gets is as follows:
n/f = s
Therefore substituting in formula for n=54 and f=6
54/6 = 9 sweets per friend
Which group contains an equivalent percent, decimal, and fraction?
F. 60%, 0.06, 3/5
G. 75%, 7.5, 3/4
H. 90%, 0.9, 9/10
J. 78.5, 0.785, 7/8
Answer: H. 90%, 0.9, 9/10
Step-by-step explanation: they are all equal
Given f(x) =1/(x^2+4) and g(x) = square root (x+1) Find g(f(x)).
Step-by-step explanation:
all steps are in the picture above.
Note:if you have any question let me know about.thanks
9514 1404 393
Answer:
g(f(x)) = √((x²+5)/(x²+4))
Step-by-step explanation:
[tex]g(f(x))=g(\dfrac{1}{x^2+4})=\sqrt{\dfrac{1}{x^2+4}+1}=\sqrt{\dfrac{1+x^2+4}{x^2+4}}\\\\\boxed{g(f(x))=\sqrt{\dfrac{x^2+5}{x^2+4}}}[/tex]
I prefer this compact form, but some may want the denominator rationalized. This means the expression becomes ...
[tex]g(f(x))=\sqrt{\dfrac{(x^2+5)(x^2+4)}{(x^2+4)^2}}\\\\\boxed{g(f(x))=\dfrac{\sqrt{x^4+9x^2+20}}{x^2+4}}[/tex]
The rectangles are similar. Find x.
Answer:
x = 7 1/2
Step-by-step explanation:
We can use proportions to solve
12 5
----- = -----
18 x
Using cross products
12x = 18*5
12x = 90
Divide by 12
12x/12 = 90/12
x = 7 1/2
12/18 = 5/x
12x = 18 × 5
12x = 90
x = 90 ÷ 12
x = 7,5 => x = 7 1/2
What is the equation of a line perpendicular to y = -3x + 4 that passes through the point (-1, 6)?
Answer:
Equation is 3y = x + 19
Step-by-step explanation:
General equation:
[tex]y = mx + c[/tex]
For slope, m:
[tex]m_{1} \times m_{2} = - 1[/tex]
but m1 is -3:
[tex] - 3m_{2} = - 1 \\ m_{2} = \frac{1}{3} [/tex]
For y-intercept, c:
[tex]y = mx + c \\ 6 = ( - 1 \times \frac{1}{3} ) + c \\ \\ c = 6 + \frac{1}{3} \\ \\ c = \frac{19}{3} [/tex]
equation:
[tex]{ \sf{y = \frac{1}{3}x + \frac{19}{3} }} \\ \\ 3y = x + 19[/tex]
Which of these is equal to .0625 ??
a. 4 ^ -15
b. 1 / 4^15
c. 16 ^ -2
d. (4 ^ -1) ^ 2
Help please!! I redid my assignment 3 times, and I still didn't get it correct! (The question was to find the 7 ones that equal .0625 , and those are all the ones that I thought didn't equal that)
Decmial: 0.77 thanks!
Answer:
The digit in the tenths place is 10 times as much as the value of the digit in the hundredths place.
Step-by-step Explanation:
0.07 multiplied by 10 gives you 0.7
Use the equation v=s+19 to find the value of v when s=2.
V=
Answer:
21
Step-by-step explanation:
s=2
so, v=2+19
19+2=21
Which best describes the relationship between the line that passes through the points (–9, –7) and (–12, –2) and the line that passes through the points (1, 9) and (6, 6)?
9514 1404 393
Answer:
The lines are neither parallel nor perpendicular. They intersect in the 2nd quadrant.
Step-by-step explanation:
You have provided no descriptions, so we have shown the lines to let you draw your own conclusion regarding the description that best fits.
Show work and Evaluate 3/4 + 2/5
Answer:
23/20
Step-by-step explanation:
Find the common denominator of the 2 fractions (It's 20):
3/4 + 2/5
Multiply both numerator and denominator by 5 for the first fraction and multiply by 4 for the second fraction:
15/20 + 8/20
Add the fractions together:
23/20
If the 45 animals on the farm have a total of 150 legs, how many cows does farmer Ken have?
Answer:
195
Step-by-step explanation:
probability question
plz plz help fast plz plZ
no trolls plz
Answer:
3/6 or 1/2
Step-by-step explanation:
3 of the blocks are blue out of 6 blocks. Therefore 3/6.