Answers
In general, nCr = n! / r! (n-r)!
Here, 7C3 = 7! / 3!(7-3)!
=7 x 6 x 5 x 4 x 3 x 2 x 1 /3 x 2 x 1 ( 4 x 3 x 2 x 1)
=7x6x5x4 / 4x3x2
=7x5x6x4 / 24
=35x24 / 24
=35
Related Questions
Which statement about the ordered pair (-6,8) is true?
Answers
Answer:
a
Step-by-step explanation:
solve for y in one equation
2x + y = -4
y = -4 - 2x
plug y into the other equation
5x + 3y = -6
5x + 3(-4 - 2x) = -6
5x -12 -6x = -6
-x - 12 = -6
-x = 6
x = -6
plug x into the equation to find y
y = -4 - 2x
y = -4 - 2(-6)
y = 8
ordered pair: (-6,8)
The bake sale raised $60.00. If each cookie cost $0.75, how many cookies were sold
Pls help help help.
Answers
Answer:
80cookies
Step-by-step explanation:
60 / .75 = 80cookies
good luck, i hope this helps :)
Answer: 80 cookies were sold.
Step-by-step explanation:
To solve this, we divide the amount of money they earned by the amount of money each cookie cost. The answer is 80.
Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x
A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)
I labeled them all on Desmos & they all seem to lie on it, which is why I need help.
Answers
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Option A is the answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]
We need to substitute the values of x and y into the function and see if the equation holds true.
A. (12, 0)
Substituting x = 12 and y = 0 into the function, we get:
[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]
This does not equal y = 0, so (12, 0) does not lie on the graph of the function.
B. (-2, 48)
Substituting x = -2 and y = 48 into the function, we get:
[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]
This does not equal y = 48, so (-2, 48) does lie on the graph of the function.
C. (2, 3/16)
Substituting x = 2 and y = 3/16 into the function, we get:
[tex]f(2) = 3(1/4)^2 = 3/16[/tex]
This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.
D. (0, 3)
Substituting x = 0 and y = 3 into the function, we get:
[tex]f(0) = 3(1/4)^0 = 3[/tex]
This equals y = 3, so (0, 3) does lie on the graph of the function.
Therefore,
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Learn more about functions here:
https://brainly.com/question/28533782
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The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet
Answers
Answer:
As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:
d1 = 44 / tan(60) = 25.403 m
For point2:
d2 = 44 / tan(30) = 76.210 m
The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.
The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Step-by-step explanation:
Use the figure to find the measures of the numbered angles.
Answers
Answer:
1 = 81 degrees
2 = 99 degrees
3 = 81 degrees
4 = 99 degrees
5 = 81 degrees
6 = 99 degrees
7 = 81 degrees
Answer:
Step-by-step explanation:
1 = 81 degrees
2 = 99 degrees
3 = 81 degrees
4 = 99 degrees
5 = 81 degrees
6 = 99 degrees
7 = 81 degrees
If Sally walks 2 meter it takes her 1 second. If she walks 4 meters it takes her 2 seconds and 6 meters takes her 3 seconds. Is this a linear situation? Make a table and plot the points in the table to determine whether the following relationship is linear If it is, write an equation that represents the data.
Answers
Answer:
y=2x
Step-by-step explanation:
2 1
4 2
6 3
plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
a 12/20 = 0.6
b 21/35 = 0.6
c 28.8/48 = 0.6
The table below shows Greg's scores at a state golf tournament. What is Greg's
average score for the five rounds?
A. -4
B. -3
C. -2
D. -1
Answers
Answer: d
Step-by-step explanation:
You add all of his scores up and divide them by how many numbers there are which 3+1+ -3+ -2+ -4 equals -5 and you divide them by the five numbers which gives you one
Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x
Answers
Answer:
1. 3x-7y and -7y+3x
Step-by-step explanation:
1. 3x -7y and -7y +3x
This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.
2. 3x -7y and 7y -3x
This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.
3. 3x -7y and 3y -7x
This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.
4. 3x-7 and -3y+7x
This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.
Which statement about the area of a right triangle is true?
F :The area formula for a right triangle is the base times the height because a rectangle can be
divided into two right triangles.
G: The area formula for a right triangle is the base times the height because a right triangle
can be divided into two rectangles.
H: The area formula for a right triangle is one-half of the base times the height because a
rectangle can be divided into two right triangles.
J: The area formula for a right triangle is one-half of the base times the height because a right
triangle can be divided into two rectangles.
Answers
Answer:
H
Step-by-step explanation:
This is because a rectangle can be divided into two triangles.
HELPPP I MAKE BRAINLIESTT
A seamstress charges a $5 fee per garment, plus $15 for each hour of work that the garment requires. The graph below shows the cost of having a single garment fixed by the seamstress, according to the number of hours of work that are needed.
Which linear function models the data?
A. c(t) = 5t
B. c(t) = 15t
C. c(t) = 5 + 15t
D. c(t) = 15 + 5t
Answers
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
Well because the initial fee is $5, the answer must have the value of 5 without a variable next to it because this is the y-intercept.
(Only the slope will have the t next to it.)
Because $15 is charged EACH HOUR this would be the slope because there is a constant increase
Therefore c(t) = 5 + 15t
Answer:
C. c(t) = 5 + 15t
Step-by-step explanation:
She charges $15 per hour, so each hour (represented by "t") she earns 15 dollars. She also charges a $5 fee per germent. So she would get $5 plus 15 times however many hours she worked. So your answer would be c(t) = 5 + 15t.
Use the data on the dot plot to answer the question.
Answers
Answer:
5
Step-by-step explanation:
x < 7
Which means 6 and below
only 5 people slept for less than 7 hours
Answer:
5 people
Step-by-step explanation:
Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6
Use the Distributive Property to
REWRITE 5(p - 8)
Answers
5p - 40
GH is tangent to both circle A and circle E. Determine the length of HE.
01) 27 units
2) 3 units
03) 1.8 units
4) 4 units
Answers
Answer:
3 unit is the correct answer
Answer:
3 units
Step-by-step explanation:I took the test
The graph of a line and and exponential intersect twice, once, or not at all. Describe the possible number of intersections of each of the following pairs of graph. Your solution to each part should include all of the possibilities and a quickly sketched example of each one. (Part 1)(SHOW WORK)
a. A line and a parabola
b. Two different parabolas
Answers
a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]
b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]
It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.
Describe how the graph of y=2x and y=2x+7 are the same.
Answers
Answer:
These two equations produce a similar graph because they both share the same slope: 2. The only difference is that the y-intercept for the second equation is a positive 7, making the graph shift upwards. Other than this, both equations would be parallel (and identical) on the graph.
Which graph represents the solution set for the inequality: y > x-1
Answers
Answer:
F
Step-by-step explanation:
help me please I need help
Answers
Answer:
DO NOT GO ON THST LINK< IT WILL SEND A VIRUS TO YOUR DEVICE!!!
Step-by-step explanation:
Question 1 (1 point)
Andy bought total of 5 pairs of shoes and soxes. He bought some pairs of shoes and some pairs of soxes.
Set the variabloes as follows:
X = number of pairs of shoes
Y = number of pais of soxes
Which equation shows the total number of shoes and soxes he bought?
2x + 5 y =7
2X + 3 Y = 5
X + Y = 5
7Y - 2x = 5x
Answers
Answer:
The equation that shows the total number of shoes and soxes he bought is x+y=5.
Step-by-step explanation:
Given that statement says that Andy bought total of 5 pairs of shoes and soxes this means that the equation would indicate that the sum of the number of pairs of shoes plus the number of pairs of soxes is equal to 5, which can be expressed as:
x+y=5
The other answers are not right because the numbers of pairs of shoes and soxes are multiplied by another number and the statement indicates that the pairs of shoes and soxes is equal to 5.
Guys!!! Please help!! Geesh I need help
Answers
Answer:
42
Step-by-step explanation:
9 - 4 = 5
8 - 5 = 3
9 + 2 + 3 + 7 + 8 + 3 + 4 + 6 = 42
Answer:
Its 42 ;l
Step-by-step explanation:
hi, i need help with this lol, i'm bad at math
Answers
Answer:
-44
Step-by-step explanation:
Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.
The circle graph shows how a family budgets its annual income. if the total annual income is $130,000, ehat amount is budgeted for clothing?
$?
Answers
Answer:
Step-by-step explanation:
17% = 0.17
$130 000 × 0.17 = $22 100
When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4
Answers
Answer:
is that supposed to be a squared x?
9(-4)^2 + (-4) - 5 = 135
9(-4) × 2 + (-4) - 5 = -81
id.k which one is right sorry
Please help I need it
Answers
Answer:
A. Yeah
Step-by-step explanation:
cacula las dimensiones de un rectangulo sabiendo que su area es de 66cm y su base mide 5cm mas que su altura
Answers
Answer:
Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.
Step-by-step explanation:
Answer:
how do you translate?
Step-by-step explanation:
Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.
Answers
Answer:
So.. Liliana used 4 crystals to race 14 zombie soldiers.
14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.
So, Liliana is able to race 35 zombie soldiers with 10 power crystals.
Glad I could help!
Step-by-step explanation:
Mark works as a librarian and makes $16.75 per hour. He gets paid time-and-a-half for overtime. How much will he make if he works 52 hours this week?
Play media comment.
Group of answer choices
$670.00
$971.50
$1,005.00
$871.00
PLZZZ HURRY
Answers
Answer:
$871.00
Step-by-step explanation:
Can someone help me ?
Answers
Answer:
The second one doesn't match.
solve r/13.7 = 5 for x
please help asap
Answers
Answer: x=68.5
Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.
Four times w is 16.
Answers
Answer:
w = 4
Step-by-step explanation:
4w=16
w = 16/4
w = 4
Step-by-step explanation:
The question is unclear. If the original question is telling you to make the word expression into an algebraic expression, the answer would be 4w = 16. On the other hand, if it was asking you to solve the given equation, the answer would be w = 4.