Answer: 500 cables
Step-by-step explanation:
The population refers to the individuals or the items which are of interest fltonthe researcher during an experiment.
Since the computer department received 10 boxes containing 50 cables each, then the population will be gotten as:
= 10 × 50
= 500 cables
According to the graph, what is the factorization of x2 - 6x + 5?
A. (x + 5)(x+1)
B. (x - 5)(x+ 1)
C. (x - 5)(x - 1)
D. (x + 5)(x - 1)
The factorization of x2 - 6x + 5 is (x - 1)(x -5)
How to determine the factorization?From the graph, the zeros of the function are:
x = 1 and x = 5
Set the zeros to 0
x - 1 = 0 and x - 5 = 0
Multiply the zeros
(x - 1)(x -5) = 0
Hence, the factorization of x2 - 6x + 5 is (x - 1)(x -5)
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Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets, independently of which buckets are chosen for any of the other balls. (E.g., the first ball is equally likely to be put into any of the 3 buckets, and then regardless of which bucket the first ball is placed in, the second ball is equally likely to be put into any of the 3 buckets.) What is the probability that all of the balls will be put into the same bucket
Answer:
[tex]\frac{1}{27}[/tex]
Step-by-step explanation:
Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...
[tex]\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}[/tex]
Finally, we see that the probability of all three balls landing in the same bucket is [tex]\frac{1}{27}[/tex]
Which statement correctly describes the graph of g(x) = f(x - 9) ? x = 6 A. Function ghas the same horizontal and vertical asymptotes as function f. OB. Function g has the same horizontal asymptote as fand a vertical asymptote at . OC. Function g has the same horizontal asymptote as fand a horizontal asymptote at x = 9. D. Function ghas the same vertical asymptote as fand a horizontal asymptote at y = - 5 .
Answer:
-5
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here,
We have to determine:
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph; g(x) = f(x - 9)
here, we have,
The straight-line x=6 is a vertical asymptote of the graph of the function g(x) = f(x - 9) if at least one of these conditions is true:
we have,
A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
we know,
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
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Which of the following does NOT give you congruent angles?
CPCTC
Midpoint
Alternate Interior Angles
Triangle Sum Theorem
Answer:
Triangle Sum Theorem
Step-by-step explanation:
These do not give you congruent angles
PLEASE ANSWER ASAP!!!
Answer:
1/a^2 is the answer to this question
Which answer is the correct answer above?
[tex]\text{Solve for x:}\\\\3x + 65 = 523\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]{x=152.666....[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for x...}}\\\\3x+ 65= 523\\----------\\\rightarrow 3x + 65 - 65=523-65\\\\\rightarrow 3x = 458\\\\\rightarrow\frac{3x = 458}{3}\\\\\rightarrow \boxed{x=152.666....}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
3x+65=5233x=523-653x=458x=458/3x=152.66...[tex]\text{ Thank ~you!! }[/tex]
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
secA = [tex]\frac{65}{63}[/tex]
Step-by-step explanation:
cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]
This is a right triangle with hypotenuse = 65, opposite = 16 and
adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63
Then
secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]
i don’t know what the anwsered would be i don’t understand this module
Answer:25,000(0.15)^x
Step-by-step explanation:
I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.
BERE
Which function represents exponential decay?
o
f(x) = {
f(x) = (-)
o pux) = 4(-3)
Of(x) = 4
Step-by-step explanation:
Sorry I don't kNkw the amswer
Is this right? ASAP PLS HURRY!
I will give BRAINLIEST to the correct answer
Answer:
<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.
3M+58+8M+155=180
11M=180-213
11M=-33
M=-3
SO,
<PCH
3M+58
=3*(-3)+58
=58-9
=49-DEGREE
How long does daily skips take
The table represents the cost of flowers at the Tigerlily Flower Shop.
Answer:
The given table is
Quantity(x) Price(y)
1 2.00
2 3.50
3 5.00
4 6.50
5 8.00
6 9.00
It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).
The graph 1 represents all the above mentioned point, therefore option 1 is correct.
According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.
The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.
Therefore the option 3 and 4 are incorrect.
Step-by-step explanation:
Which of the following is equivalent to
11/18?
A. 0.61
O B. 0.61
C. 0.61
D. 0.611
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x
Answer:
1.5
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{3}^x[/tex]
[tex]Options: 0.3\ 0.9\ 1.0\ 1.5[/tex]
Required
What value cause a stretch
For the function to stretch, then the scale factor must be greater than 1.
From the list of options.
Only 1.5 is greater than 1 i.e. [tex]1.5 > 1[/tex]
Hence, 1.5 will cause a stretch.
Answer:
ITS D. 1.5
Step-by-step explanation:
pls check screenshot 50 points
Answer:
See below
Step-by-step explanation:
Part (a)f(x - 1) is the translation of f(x) one unit right.
So the graph is exactly same shape but shifted right one unit.
Part (b)f(x) has vertex (-1, 2)
The function y = f(-x) + 2 will have the vertex changed as per rule:
(x, y) → (-x, y + 2)So the new vertex is:
(-1, 2) → (-(-1), 2 + 2) = (1, 4)Which number is larger
Answer:
9
Step-by-step explanation:
When there are any negatives they will always be less then a positive.
-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10
The larger the negative the less it is since its so far away from the middle (0)
-Greatest to least
-8,-5,3,9
Find the intersection of the lines y = x +1 and 3y + 2x = 13 without drawing the graph.
Answer:
The intersection point is (2, 3)
Step-by-step explanation:
The given (linear) equations for the point of intersection is required are;
y = x + 1...(1)
3·y + 2·x = 13...(2)
To find the point of intersection without using graph, we note that the point of intersection is the point at which the values of both equations are equal
We find the values of 'x' and y-coordinates at the point of intersection as follows;
Making 'y' the subject of equation (2) gives;
y = (13 - 2·x)/3
When both lines intersect, the 'x' and y-values are the same;
y = x + 1 for the first line, and y = (13 - 2·x)/3 for the second line, therefore, at the intersection point, we have;
y = y
x + 1 = (13 - 2·x)/3
3·(x + 1) = 13 - 2·x
3·x + 3 = 13 - 2·x
3·x + 2·x = 13 - 3
3·x + 2·x = 5·x = 13 - 3 = 10
∴ 5·x = 10
Therefore, at the point of intersection, x = 10/5 = 2
x = 2
'y' is given in equation (1) by y = x + 1, therefore, at the point of intersection, 'x = 2', we get;
y = x + 1
∴ The value of 'y' at the point of intersection is y = 2 + 1 = 3
y = 3
Therefore, the (x, y) coordinate at the point of intersection is (2, 3) which can be written as follows;
The point of intersection = (2, 3).
The probability the Sam sleeps for less than 6 hours is 0.25 work out the probability that Sam sleeps for 6 hours or more
Step-by-step explanation:
h na jwhwwhwhwhwhwhwhwhwjjwjwjwjje i don't know thrle answer
8. On what day did Alfonso run faster? Day Distance (m) Time (min) Monday 1,020 6 Wednesday 1,554 9 a. Wednesday b. Monday
Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴
Step-by-step explanation:
2⁶X5⁴X3¹²/2²x5²x3⁴
2⁴ × 5²×3⁸
Answer:
Step-by-step explanation:
[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]
In exponent division, if both numbers have same base, subtract the exponents.
Factor the expression completely
8x2-18
A. 2(2x - 3)(2x + 3)
B. 2(2x+3)(2x - 3)
C. 2(4x2 – 9)
D. 2(4x+3)(x - 3)
Answer:
2 ( 2x+3) (2x-3)
Step-by-step explanation:
8x^2-18Factor out the greatest common factor of 2
2( 4x^2 -9)
2 ( (2x)^2 - 3^2)
What is inside the parentheses is the difference of squares
a^2 - b^2 = (a+b)(a-b)
2 ( 2x+3) (2x-3)
Answer:
B. 2( 2 x + 2 ) ( 2x - 3 )
Step-by-step explanation:
8 x² - 18
2 ( 4 x ² - 9 )
2 ( ( 2x ) ² - ( 3 )²)
2 ( 2 x + 3 ) ( 2x - 3 )
Help:( me please I don’t know what to do I completely for got it
Answer:
x=1
y=-2
point form- (1,-2)
Which point lies on both y=5x−3 and y=−4x+6 ?
(4, 14)
(3, 1)
(3, 10)
(2, 6)
(1, 2)
find the number whose product with 2/211 gives 8/11
Answer:
1688/22
Step-by-step explanation:
keep, change, flip
Can someone pls help me with this?!
Answer:
1188
Step-by-step explanation:
33 X 36 = 1188
TO FIND AREA: Height x width= area
Height is 33 Width is 36
40 is just a distraction! :)
can someone please help me!!!!
Answer:
10 * 9 = 90
90/2 = 45
45 cm^2
A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
Answer:
3mm brainliest please
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
9mm times 1:3 of the rectangle is 245
Select the best answer to complete the sentence. A Rigid Motion or Isometry ______________________.
A. preserves length, angle measures and distance between points
B. preserves length and angle measures but not distance between points
C. is a transformation that changes the size of the figure
is a transformation with its image and pre-image not being congruent
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
translation (aka shifting)rotationreflectionAny of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.