Answer:
D. f(x)=x^2
Step-by-step explanation:
There are two openings at a programming company and 40 people apply. How many different ways can those two positions be filled?
Using the combination formula, it is found that these two positions can be filled in 780 ways.
The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, two people are taken from a set of 40, hence the number of ways is given by:
[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
help me pleaseeeeeeeeeeeeeeeeeeeee
Answer:
3 X 1/2
Step-by-step explanation:
I started by eliminating C and B because of adding and subtraction in the problem.
Answer:
3 x 1/2
Step-by-step explanation:
there are 3 groups of 1/2
Can u help me and if u don’t know don’t answer
Answer:
a. The scale factor from Drawing 1 to Drawing 2 is 40%
b. The length of the bottom side of Drawing 2 is 7.8 cm
Step-by-step explanation:
5.2 / 13 = 26 / 65 = 2 / 5 = 4 / 10 = 0.4 = 40%
19.5 / 2.5 = 39 / 5 = 78 / 10 = 7.8
If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)
Answer:
(-2, - 11)
Step-by-step explanation:
Coordinate of preimage = (4, - 3)
Pre image is translated <-6,-8>
X - coordinate of preimage = 4
Translation, x coordinate + (-6)
Y - coordinate of preimage = - 3
Translation, x coordinate + (-8)
Image will be located at (4+(-6) ; - 3+(-8))
Hence, we have (-2, - 11)
What is the measure of n?
Given:
A figure of a right triangle whose altitude divides the opposite in two segments of 8 and 4 units.
The measure of the altitude is n.
To find:
The value of n.
Solution:
According to the altitude on hypotenuse theorem, the altitude on the hypotenuse of a right triangle is geometric mean of two segments of the hypotenuse.
Let the altitude h divides the hypotenuse in two parts with measure a and b, then
[tex]\dfrac{h}{a}=\dfrac{b}{a}[/tex]
[tex]h^2=ab[/tex]
[tex]h=\sqrt{ab}[/tex] [Because side length cannot be negative]
In the given figure, the altitude is n and it divides the hypotenuse in two segments of 8 units and 4 units.
Using altitude on hypotenuse theorem, we get
[tex]\dfrac{n}{8}=\dfrac{4}{n}[/tex]
[tex]n^2=4\times 8[/tex]
[tex]n^2=32[/tex]
[tex]n=\sqrt{32}[/tex]
Therefore, the measure of altitude is [tex]n=\sqrt{32}[/tex] units.
A solid has 4 faces and 4 vertices.
How many edges does it have?
Euler's Formula: F + V - E = 2
Enter
Sequences:
See the following attached image, where you can see sets of circles, which follow a certain pattern:
Number of circles in next row 6: 21 circles, and row 7: 28 circles
1) Determine the number of circles in the nth pile (general term)
2) What is the number of circles when n tends to infinity?
Answer:
The sequence is
1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...Each term is the sum of the consecutive numbers from 1 to that number.
The nth term is the sum of the first n numbers:
aₙ = 1 + 2 + 3 + ... + naₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)aₙ = n(n + 1)/21) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
The width of a rectangle is 3 units less than the length. The area of the rectangle is 4 Units What is the length, in units, of the rectangle?
Answer: 4 units
Step-by-step explanation: IT cant be 2x2 or else it would be a square
so it would have to be that the width is 1 unit and the lenght is 4 units.
8x+152=224 Please help! (Show your work!)
Answer:
[tex]8x + 152 = 224 \\ 8x = 72 \\ x = 9[/tex]
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the range in hours spent watching Netflix?
Show your work for full points!
Answer:
Solution given:
lowest =0
highest=11
the range in hours spent watching Netflix=
highest-lowest =11-0=
Range is 11.
Solution : here ,
lowest = 0
Highest = 11
the range in hours spent watching Netflix
=highest — lowest
= 11 —0
= 11
the range = 11
hope it is helpful to you
Find the quotient: 28 ÷ 4 2/3
Answer: = 6
Step-by-step explanation: Hope this help :D
show that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5
Answer:
The statement is false.
Step-by-step explanation:
We know that all integer numbers can be written as a product of prime numbers.
For example:
15 = 5*3
15 is a product of two prime numbers, 5 and 3.
28 = 2*2*7
28 is the product of two prime numbers, 2 two times, and 7.
Now, we want to prove that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5.
Now, let's try to find a counterexample to see if this is false.
The first idea that comes to mind is, what with a set of 9 positive prime numbers?
(2, 3, 5, 7, 11, 13, 17, 19, 23)
So none of these numbers share their primary factors (where the "1" is not considered as a primary factor)
And another counterexample could be:
(2, 3, 5, 7, 11, 13, 17, 6, 10)
Here 6 = 2*3
10 = 2*5
So 6 and 10 share a primary factor (the two) but do not share all of their primary factors that are less than or equal to 5.
So we found two counterexamples of the statement, so we can conclude that the statement is false.
An equation that models the height of an object dropped from the top of a building is y= -16x^2 + 30 where x is time in sec. Another equation, y= 14, models the path of a flying bird in the air. Write a system of equations, and then solve to find how many seconds the object is in the air before it crosses the birds path
Answer:
1 second
Step-by-step explanation:
The 2 equations are
y = - 16x² + 30 → (1)
y = 14 → (2)
Substitute y = 14 into (1)
14 = - 16x² + 30 ( subtract 30 from both sides )
- 16 = - 16x² ( divide both sides by - 16 )
1 = x² ( take the square root of both sides )
x = [tex]\sqrt{1}[/tex] = 1
The object is in the air for 1 sec before it crosses the bird's path
Given that the measure of Angle CDB = 31 degrees find the indicated
measures for angle 1 and 2.
Answer:
angle 1=149°
angle 2=31°( because they are alternating angles)
Find the perimeter of the figure
Answer:
no.6 is 22in. while in no.7 is 18cm
I need help with 1-6
Answer:
1.25π
π/9
-17π/12
-7π/9
5π/12
-5π/3
Step-by-step explanation:
To convert degrees into radians mulitply it by π/180
225/180=1.25
1.25π
20/180=1/9
π/9
-255/180= -17/12
-17π/12
-140/180=-7/9
-7π/9
75/180=5/12
5π/12
-300/180= -5/3
-5π/3
What is a complete list of factors of each term in the expression 16a+18ab
Answer:
Step-by-step explanation:
the last answer looks good
Can someone Please help me
Answer:
Simple use tangent, which is equal to opposite divided by adjacent, so tan34=x/16, so multiply both sides by 16 to get x=10.79213627
Step-by-step explanation:
(5p^3 - 3) +(2p^2-3p^3)=
Answer:
4p^3-3 jejeieooejejenjekeoeoeo
The quotient of a number and 0.004 is 60. Find the number
Answer:
Step-by-step explanation:
x/.004 = 60
solve x
x = .24
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
346.50
Step-by-step explanation:
550 discounted by 30% is 385.00.
385.00 discounted by 10% is 346.50
Can someone please help?
Answer:
The one all the way to the right
Step-by-step explanation:
30 ÷ X = 6
30 ÷ 5 = 6
what is the area of the object above
Answer:
104 in²
Step-by-step explanation:
look at the picture above... by splitting the figure, we get two rectangles.
a1= 5×4 = 20in²
a2= 12×7= 84 in²
total area = a1+a2 = 20+84=104in²
Which expresion does NOT equal the length of one of these pieces in feet. Plz help me i really need it.
Answer: J
Step-by-step explanation:
J is the expression we would use to find "nine divided by five"
Whatever is inside the little box-looking thing (not sure how to describe it) is being divided by the number on the outside of the box-looking thing.
George was riding his bike by some construction, and apparently got a nail in his tire. 5 days later he realized that the tire was losing air, and at that time it had a pressure of 52 pounds per square inch (PSI); he didn t have time to x it then, and then 8 days after getting the nail the pressure was down to 46 PSI.
(a) Write a linear equation giving the tire pressure (P) in pounds per square inch in terms of the number d of days since he got the nail in his tire.
Answer:
P(d) = 62 - 2d
Step-by-step explanation:
P = pound per square inch
d = days
(52 - 46) / 3 = 2
46 + 2 * 8 = 62
Markus is finding that it takes too long to track down all of the groceries he needs to buy from a given store. GroceryGrabbr to the rescue! The app allows Markus to input his shopping list and search for his local grocery store in GroceryGrabbr's database. If his grocery store is there, Markus is all set to go! The database stores grocery items, cost, and item location information for each grocery store. When Markus walks into the store, a notification pops up on his smartphone letting him know that GroceryGrabbr is ready to get to work. Each of Markus' grocery items is displayed one at a time, along with the aisle number and shelf location. After Markus grabs his items off the shelf, he hits a button on the app to navigate to the next item. The list of items is arranged so that Markus follows the most efficient path through the grocery store. When Markus finishes shopping, the total amount of money his groceries cost is displayed, which allows him to double check the total cost with the cashier. GroceryGrabbr pays grocery stores a small amount of money for each user who successfully uses the app and checks out of the store with over one hundred dollars worth of groceries.
Which of the following data must be obtained from the user's smartphone in order for GroceryGrabbr to suggest the order for picking up groceries?
a) the grocery list the user input
b) the location of the grocery store
c) the user's photo album on their smartphone
d) the user's current location
Answer:
A. The grocery list the user input
Step-by-step explanation:
What is the volume of this triangular prism
9514 1404 393
Answer:
153.6 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh . . . . . . where B is the area of the base, and h is the height
The area of the triangular base is given by the formula ...
A = 1/2bh . . . . where b and h are the base and height of the triangle
For a right triangle, the lengths of the legs can be used for the base and height.
The base area is ...
A = (1/2)(6 mm)(8 mm) = 24 mm²
Then the volume is ...
V = (24 mm²)(6.4 mm) = 153.6 mm³
Let x be a continuous random variable that follows a normal distribution with a mean of 185 and a standard deviation of 20. Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869. Round your answer to two decimal places.
Answer:
x = 209.2
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.
Mean of 185 and a standard deviation of 20.
This means that [tex]\mu = 185, \sigma = 20[/tex]
Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869.
This is X when Z has a p-value of 0.8869, so X when Z = 1.21.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.21 = \frac{X - 185}{20}[/tex]
[tex]X - 185 = 20*1.21[/tex]
[tex]X = 209.2[/tex]
So
x = 209.2
Which of the following numbers must be added to complete the square in the
equation below?
x^2 +9x+15 = 11
A.-81/4
B.9/2
C.81/4
D. 81
Answer:
C
Step-by-step explanation:
Take the coefficient of the linear term and divide it by 2
9/2
Then square it 81/4
That should either be added to the 11 or subtracted from the 15.
The answer is C
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is 25°. What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is 200 ft?
A.85 ft
B.181 ft
C.93 ft
D.429 ft