[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\longmapsto ^{12}C_3[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]
cancel 9![tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]
[tex]\\ \rm\longmapsto 220[/tex]
HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
[tex]\\ \sf\Rrightarrow y-1=\dfrac{2}{3}(x+1)[/tex]
[tex]\\ \sf\Rrightarrow -3-1=\dfrac{2}{3}(a+1)[/tex]
[tex]\\ \sf\Rrightarrow -4=\dfrac{-2(a+1)}{3}[/tex]
[tex]\\ \sf\Rrightarrow -2(a+1)=-4(3)[/tex]
[tex]\\ \sf\Rrightarrow -2(a+1)=-12[/tex]
[tex]\\ \sf\Rrightarrow a+1=\dfrac{-12}{-2}[/tex]
[tex]\\ \sf\Rrightarrow a+1=6[/tex]
[tex]\\ \sf\Rrightarrow a=6-1[/tex]
[tex]\\ \sf\Rrightarrow a=5[/tex]
-4.27x10^4
Help please
Answer:
-42700
Step-by-step explanation:
if you are looking for a regular notion, simplified its -42700
Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem?
Yes; 1,100 is less than 1,500.
No; 1,100 is more than the 400 he burned off at the gym.
No; 1,100 will cause him to exceed 1,900.
Yes; 1,100 is less than 1,900.
Answer:
Option 3
Step-by-step explanation:
If he burned off 400 calories from 1500 consumed calories, he has 1100 consumed calories. 1900 - 1100 = 800 calories left to consume.
While option 2 also says no, it's not the right reason.
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Given,
Jace has consumed 1,500 calories so far today.
He has also burned off 400 calories at the gym.
He would like to keep his daily calorie total to 1,900 calories per day.
We need to find how many calories he has left to consume for the day.
And see which option is the best choice.
We have,
Calories consumed in a day = 1500
Burned calories = 400
Calories to keep in a day = 1900
Find the Calories left
= 1500 - 400
= 1100
Find how many calories need to be consumed to keep 1900 calories.
= Calories needed to keep in a day - calories remaining after burned
= 1900 - 1100
= 800
We see that the calories left to consume is 800 calories.
So 1100 is not a viable solution. It will cause him to exceed 1,900.
Thus,
The calories left to consume for the day is 800 calories.
No, 1,100 will cause him to exceed 1,900.
Learn more about finding the calories needed to consumed to keep daily calories here:
https://brainly.com/question/12862654
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The following shapes are similar. AB : IJ is 5:1 and the length of FE is 30. What is the length of NM?
Answer:
6
Step-by-step explanation:
5:1
30:6
multiply by 6 so its 6
The students must take part in at least one of the activities among the extra curricular activities in a school. Out of 40 students of a class, 25 students take part in debate and 30 students take part in quiz contest, then i. show the above information in a Venn diagram. ii. how many students have taken part in both activities? iii. how many students have taken part in only one activity?
Answer:
Total number of students = 40Debate = 25 studentsQuiz contest = 30 studentsi)
Sum of two parts:
25 + 30 = 55Students taking part in both parts:
55 - 40 = 15ii)
Debate only:
25 - 15 = 10Quiz contest only:
30 - 15 = 15Venn diagram will look like this:
10 15 15Debate - both - quiz contestfriends??
disc; misti.#7628
tt; mistis.wishes
Let w 1-5 and z=2+ 4i, Find z+w
Step-by-step explanation:
w+z=1-5+2+4¡
w+z=-2+4¡
and if you mean w= 1-5¡ , z= 2+4¡
z+w= 1-5¡+2+4¡
z+w= 3-¡
A polygon which is regular has interior angles measuring 150°. This polygon is called a:
Answer:
Step-by-step explanation:
equilateral triangle
Answer:
Dodecagon (12 - sided polygon)Step-by-step explanation:
Let it be n- sided polygon.
Sum of interior angles is 150n.
On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:
S = 180(n - 2)Compare the sums and solve for n:
180(n - 2) = 150n180n - 360 = 150n180n - 150n = 36030n = 360n = 360/30n = 1212-sided polygon is called dodecagon
Need help on aleks knowledge check, due rlly soon thank you
Answer:
a) y = [tex]\frac{1}{2} x[/tex]
b) y = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
I. If y = 9 and x = 18
so x is double value of y or y * 2
y will be half of x value
that makes y = [tex]\frac{1}{2}[/tex] x
II. If x = 5, replace x with 5
y = [tex]\frac{1}{2}[/tex] (5)
y = [tex]\frac{5}{2}[/tex]
Answer:
(a).
[tex]{ \boxed{ \sf{y = \frac{1}{2}x }}}[/tex]
b).
[tex]{ \boxed { \sf{y = \frac{5}{2} }}}[/tex]
Step-by-step explanation:
explanation for (a):
[tex]{ \sf{y \: \alpha \: x}} \\ { \sf{y = kx}} [/tex]
when y is 9, x is 18
[tex]{ \sf{9 = (k \times 18)}} \\ { \sf{k = \frac{1}{2} }}[/tex]
therefore equation is:
[tex]{ \sf{y = \frac{1}{2}x }}[/tex]
explanation for (b):
when x is 5:
[tex]{ \sf{y = \frac{1}{2}x }} \\ \\ { \sf{y = \frac{1}{2} \times 5}} \\ \\ { \sf{y = \frac{5}{2} }}[/tex]
Solve for x and z (and find the total or a fraction or root of the equation)
4+x-3z*(7+3+6)=?
Answer:
Step-by-step explanation:
4+x-3*z(7+3+6)
4+x-3*z*16
4+x-3*16z
4+x-48z
x-48z+4
Four times the sum of three and a number
Answer:
4*3+X
IGNORE THIS JWINFWONDIWJFIENFIWKQPXK
-5.025, -square root of 25, -5 1/2, -11/2 least you greatest
answer =-51/2,-11/2,-5.025,-✓25
-✓25=-5
-11/2=-5.5
-51/2=-25.5
-5.025
I’m struggling.help please.
Answer:
21,23,25,27,29... and etc
Step-by-step explanation:
13,15,17,19, your going by 2, so.. 21,23,25,27,29. and counties. I don't know how long it goes but there you go hopefully this helps <3.
Answer:
2n + 11
Step-by-step explanation:
2(1) + 11 = 13
2(2) + 11 = 15
2(3) + 11 = 17
the 2 is the constant difference between the first 2 terms.
the numbers in brackets are the term number.
you have to multiply the difference with the term number.
then you will have to take that answer and subtract it from the first term number.
hope it helps xxx
can someone help me plz
Answer:
The length is from -5 to +7, so the length answer is 12, The midpoint would be that divided by 2, so six.
Step-by-step explanation:
Answer:
Length = 12
Midpoint = 1
Step-by-step explanation:
to find the length u cancount from left to right of the segment and u can see that it is 12 units long. To find the mid point just take half of the the length, which is 6, and count that many units from either side of the segment. you'll stop at 1 do that is the mid point of the graph.
Why is it helpful to use a problem-solving plan to solve problems?
Answer:
its helpful to plan out what youre going to do before you do it, as it can get confusing and you may get lost in the process if you dive right into it
please help ill mark brainliest
Answer:
AED = 136
Step-by-step explanation:
plz mark me as a brainlist
3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
A. cannot be determined
B. 1
C. 2
D. 0
One
Is it 2x-3x+8=0,right?
Answer:
D. 0
Step-by-step explanation:
the answer to the equation is 0
3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
cannot be determined
1
2
0
Which graph represents a line with a slope of -1/2 and a y-intercept equal to that of the line y =2/3x – 2?
Step-by-step explanation:
I guess option 4 is the correct answer.
16 The cost for parking at a city airport is shown in the table.
Price for first day
$16.60
For every
2
day afterwards
$9
Yuri pays $124.60 to park his car.
How many days does he park his car for?
Show your working.
Answer:
He paid $9 twelve times
12× 2= 24 days
Step-by-step explanation:
1st day = $16.60
3rd day=$ 9 (i.e for every 2days afterwards)
5th day=$ 9
Yuri pays : 124.60
124.60-16.60
= $108.00
After paying the first day he paid 108.00
108.00÷ 9 = 12
He paid $9 twelve times
12× 2= 24 days
What is the value of X?
Answer:
5 * sqrt(3)
Step-by-step explanation:
The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.
Compare negative square root of 7 and -3.12345
Answer: Square root of negative 7 is greater than -3.12345
Step-by-step explanation: Since the square root of -7= 2.64575131 i (A positive number) Then it's greater, since the positive number is always greater than the negative numbers, because the negative numbers are further below zero than the positive number, if there is a number below the zero and a number above the zero, the one above the zero is greater, because it's a positive number, the one below 0 is negative.
express rational number in standard form: -216/144
Answer:
[tex] \frac{ - 3}{2} [/tex]Step-by-step explanation:
[tex] \frac{ - 216}{144} \\ \\ = \frac{ - 3}{2} [/tex]
Hope it is helpful....0.582 times 10 what is value of the 2
Answer:
5.82
Step-by-step explanation:
0.582 x 10
=> Shift the decimal place by 1
=> 5.82
The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
To determine the value of 2 in the product of 0.582 times 10.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.
Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
Learn more about simplification here: https://brainly.com/question/12501526
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What is the total number of common tangents that can be drawn to the circles?
A. 1
B. 0
C. 2
D. 3
Answer:
B. 0
Step-by-step explanation:
The circles do not intersect, tangents require intersection
Answer:
B.) 0
Step-by-step explanation:
I got it correct on founders edtell
Which numbers are a distance of 3.5 units from −4 on a number line?
A number line with increments of .5 with a range of 0 to negative 7.5
Select the two correct answers.
−7
−7.5
−6.5
−4.5
−3.5
−0.5
(help)
help help help help help
Answer:
the answer is c
Step-by-step explanation:
x - 7, y + 6
- 1 - 7, 4 + 6
- 8, 10
can someone help me with this please
In the diagram below BD is parellel to XY what is the value of y ?
Answer:
C
Step-by-step explanation:
y and 67 are alternate exterior angles and are congruent , then
y = 67° → C
Triangle ABC is similar to triangle PQR, as shown below:
Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB equals c, BC equals a, and AC equals b. Triangle PQR has sides PQ equals r, QR equals p, and PR equals q. Angle CAB is congruent to angle RPQ. Angle ABC is congruent to angle RQP. Angle ACB is congruent to angle QRP.
Which equation is correct?
q over c is equal to r over b
c over p is equal to b over a
c over a is equal to q over r
q over b is equal to r over c
Answer:
q/b = r/c
Step-by-step explanation:
We can determine which equation is correct by looking at the similar angles
A ~ P and B ~ Q so the side length that is between these angles would be proportional which are :
r/c
Next up
C ~ R and again B ~ Q and the side length that is between these angles:
q/b
so the answer is
q/b = r/c as given in last option
Answer: a/b=r/c
Step-by-step explanation: i did the
Please help me with this question:)
Answer:
Ada is correct.
Step-by-step explanation:
Problems with Naman:
Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Division
Addition
Subtraction
~
The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.
Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.
