Answer:
10x = 10.
Step-by-step explanation:
The equation will contain the x variable only.
John used digits from 0 to 6 to create a three-digit PIN code. He forgot his PIN code. He remembers that his code contains different ascending digits. What is the maximum number of combinations John has to check to find his PIN code.
Answer:
35 combinations
Step-by-step explanation:
The first digit cannot be 5 or 6 (Since the digits could not be in ascending order if that was the case).
If the first digit is 4, there is 1 possibility:
(4, 5, 6)
If the first digit is 3, there are 3 possibilities:
(3, 4, 5) (3, 4, 6) (3, 5, 6)
If the first digit is 2, there are 6 possibilities:
(2, 3, 4) (2, 3, 5) (2, 3, 6) (2, 4, 5) (2, 4, 6) (2, 5, 6)
If the first digit is 1, there are 10 possibilities :
(1, 2, 3) (1, 2, 4) (1, 2, 5) (1, 2, 6) (1, 3, 4) (1, 3, 5) (1, 3, 6) (1, 4, 5) (1, 4, 6) (1, 5, 6)
If the first digit is 0, there are 15 possibilities:
(0, 1, 2) (0, 1, 3) (0, 1, 4) (0, 1, 5) (0, 1, 6) (0, 2, 3) (0, 2, 4) (0, 2, 5) (0, 2, 6) (0, 3, 4) (0, 3, 5) (0, 3, 6) (0, 4, 5) (0, 4, 6) (0, 5, 6)
Therefore, he would need to try at most 35 combinations.
A ladder is used to scale a 13 foot wall. If the angle of elevation from the ground to the top of the wall has
to be 36 degrees, how tall must the ladder be?
Answer:
22.12feet
Step-by-step explanation:
the ladder becomes your hypotenuse,the wall is the height,this forms a right angled triangle and the angle of elevation forms at the base,use sine which is opposite over hypotenuse to get your answer
Lapid.
(ii) Find the remainder when f(x) is
divided by (x - 1)(x + 2).
14) The remainder when the expression
ax' + bx + 2x + c is divided by x-1
is twice of that when it is divided by
x + 1. Show that c = 3a - b + 6.
ii) When a polynomial f(x) is divided by (x-1) and (x+2) it leaves remainder 5 and 17 respectively. find the remainder when f(x) is divided by (x-1) (x+2)
14) The remainder when the expression ax³ + bx² + 2x + c is divided by x-1
is twice of that when it is divided by x + 1. Show that c = 3a - b + 6.
Answer:
ii) R(x) = -4x + 9
14) c = 3a - b + 6 ( Proved)
Step-by-step explanation:
14) The correct expression is [tex]ax^3 + bx^2 + 2x + c[/tex]
To get the remainder when the expression [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by
x - 1, let x - 1 = 0; x = 1
Remainder:
[tex]R_1(x) = a(1)^3 + b(1)^2 + 2(1) + c\\R_1(x) = a + b + 2 + c[/tex]
When [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by x + 1
Let x + 1 = 0; x = -1
Remainder:
[tex]R_2(x) = a(-1)^3 + b(-1)^2 + 2(-1) + c\\R_1(x) = -a + b - 2 + c[/tex]
According to the question, R₁(x) = 2R₂(x)
a + b + 2 + c = 2(-a + b - 2 + c)
a + 2a +b - 2b + 2 + 4 = 2c - c
c = 3a - b + 6 ( Proved)
ii)
The dividend is f(x)
(x - 1)(x + 2) is the divisor, i.e. D(x) = (x - 1)(x + 2)
Let the quotient = A(x)
Let the Remainder, R(x) = ax + b..............(1)
Therefore, f(x) = A(x)D(x) + R(x)
f(x) = A(x)(x - 1)(x + 2) + R(x)...................(2)
When f(x) is divided by x - 1, x = 1
Put x = 1 into equation (2) knowing that R(1) = 5
f(1) = R(1) = 5
R(1) = a(1) + b = 5
a + b = 5....................(3)
When f(x) is divided by x + 2, x = -2
Put x = -2 into equation (2) knowing that R(-2) = 17
f(-2) = R(-2) = 17
R(-2) = a(-2) + b = 17
-2a + b = 17..................(4)
Subtracting equation (1) from (2)
-3a = 12
a = -12/3
a = -4
Substitute the value of "a" into equation (4)
-2(-4) + b = 17
8 + b = 17
b = 9
Since R(x) = ax + b
R(x) = -4x + 9
factorising can someone plz helpw itht the last one than you
Answer:
3x^2(3+x)
Step-by-step explanation:
Answer: 3x^2(3+1)
Because it is divisible by 3 and x^2
The correlation coefficient between two quantitative variables is approximately 0.02. What does the value of this correlation coefficient indicate about how well the model fits the data?
Answer:
The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.
Step-by-step explanation:
Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:
As one variable increases, the other variable increases too. In this case, the correlation coefficient is high and positively correlated. As the correlation coefficient is near 1, the correlation between two quantitative variables is almost perfect.As one variable decreases, the other variable decreases too. In this case, the correlation coefficient is also high, but negatively correlated. As the correlation coefficient is near -1, this correlation is almost perfect for this case.There could be no correlation at all. In this case, the correlation coefficient is near a zero value.As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.
Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.
It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.
n is an interger -15<3n《6
write the values of n
Answer:
So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).
Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.
Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).
We begin the real "proof" by expanding f(n + 1):
f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.
= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".
= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).
= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.
= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.
= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.
Q.E.D. (which means "that which was to be proven", in other words: "voilà")
Step-by-step explanation:
Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 665 randomly selected adults showed that 49.5% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim.
Answer:
State the null and alternate hypothesis which shows a probability value of 0.5 and greater than 0.5 on the one-tailed test to the right respectively. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.
Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.
Step-by-step explanation:
With a 0.5 P value as null hypothesis and a an alternative hypothesis greater that 0.5 on a one tailed test. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.
Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.
What is the line of best fit? Why do we want the sum of the residuals to be as close to zero as possible?
Answer:
Step-by-step explanation:
What sis line of best fit?
The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.
Why do we want the sum of the residuals to be as close to zero as possible?
The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.
We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.
Answer:
Step-by-step explanation:
We wan the residuals to be closest to zero because they will help use later in the equation.
Select the equivalent expression. Thanks :)
Answer:
b
Step-by-step explanation:
(y^3 * 2^5)^2
3x2=6
5x2=10
y6x2^10
What's the difference?
Answer:
first one is the right one
Step-by-step explanation:
What is the area of the trapezoid below
Answer:
[tex]\boxed{Area = 130 units^2}[/tex]
Step-by-step explanation:
Area of trapezoid = [tex]\frac{a+b}{2} h[/tex]
Where a = 7, b = 19 and h = 10
Area = [tex]\frac{7+19}{2} (10)[/tex]
Area = (26)(5)
Area = 130 units²
Write the polynomial as a product: mn − mk + xk − xn
Answer:
m-x(n)+x-m(k)
Step-by-step explanation:
mn-mk+xk-xn
mn-xn+xk-mk
m-x(n)+x-m(k)
Hope it helps <3 :)
Answer:
m-x(n)+x-m(k)
Step-by-step explanation:
hope this helps :D
Find the distance between a point (–7, –19) and a horizontal line at y = 3. Choices are in the attachment...
Explanation:
The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3
You can count out the spaces or use subtraction along with absolute value
distance from P to Q = |P-Q|
distance from -19 to 3 = |-19-3|
distance from -19 to 3 = |-22|
distance from -19 to 3 = 22
The absolute value is to ensure the result is never negative.
What is the value of
P(X = 2 or X = 0)
Enter your answer in the box
Answer:
0.4
Step-by-step explanation:
Answer: 0.4
Step-by-step explanation:
Translate into an algebraic expression:40 increased by x%
Answer:
2/5x
Step-by-step explanation:
x% of 40= x/100×40
= 40/100x = 2/5x
****PLEASE HELP BRAINLIEST IF ANSWERED****
What is the sum of the measures of the interior angles of a 9-gon? *
1800 degrees
360 degrees
1260 degrees
720 degrees
Answer:
its 1260°.
as by the formulae,
(n-2)×180°
we get,
sum of interior angle =(9-2)×180°
=1260°.....is anwer.
the value of x is: 12. 6. 2. None of the choices are correct.
Answer:
x=6
Step-by-step explanation:
The triangle is an equilateral triangle since all angles are 60 degrees
That means all sides are equal
3x-13 = x-1
Subtract x from each side
3x-13-x = x-1-x
2x-13 =-1
Add 13 to each side
2x= -1+13
2x = 12
Divide by 2
2x/2 =12/2
x = 6
Answer:
B. 6
Step-by-step explanation:
Two angles are 60 degrees, the other is also 60 degrees.
The triangle is an equilateral triangle.
All sides are equal.
3x - 13 = x - 1
3x - x = -1 + 13
2x = 12
x = 6
Jerry wants to buy his grandpa’s old car for $500.00. He works 10 hours a week at $7.50 an hour. How many weeks will he need to work before he earns enough money to buy the car?
Answer:
she needs to save up for 3 months
Step-by-step explanation:
please read the question and help me out
I will GIVE U Braniest! Which expressions can we use to describe the number of seconds it takes Mr. Golv to complete his jiu-jitsu drill 7 times? Choose 2 answers: (Choice A) 7(K+G) (Choice B) 2K+5G (Choice C) 7(5G-2K) (Choice D) 7(5G+2K) (Choice E) 14K+35G
Answer:
Option D and E
Step-by-step explanation:
Time for guard passes = 5G
Time for kimura arm locks = 2K
Altogether:
=> 5G+2K
If he does 7 times:
=> 7(5G+2K)
Simplified form:
=> 14K+35G
Answer:
Option D and E
Step-by-step explanation:
Time for guard passes = 5G
Time for kimura arm locks = 2K
Altogether:
=> 5G+2K
If he does 7 times:
=> 7(5G+2K)
Simplified form:
=> 14K+35G
What single transformation maps ∆ABC onto ∆A'B'C'? A. rotation 90° clockwise about the origin B. rotation 90° counterclockwise about the origin C. reflection across the x-axis D. reflection across the line y = x
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
The correct option is (B). rotation 90°counterclockwise about the origin.
Given, ∆ABC and ∆A'B'C' are shown in attached figure.
We have to map ∆ABC onto ∆A'B'C',.
A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.
Transformation is also the process by which the size or orientation of a given figure is altered without any effect on its shape.
A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.
It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of 90°counterclockwise about the origin.
Hence the correct option is (B). rotation 90°counterclockwise about the origin.
For more details follow the link:
https://brainly.com/question/1571997
Fred can mow a lawn in 60 minutes. rocky can mow the same lawn in 40 minutes. how long does it take for both fred and rocky to mow the lawn if they are working together? express your answer as a reduced fraction.
Answer:
24 minutes
Step-by-step explanation:
Fred can mow a lawn in 60 minutes.
Fred's Rate [tex]=\frac{1}{60}[/tex]
Rocky can mow the same lawn in 40 minutes.
Rocky's rate [tex]=\frac{1}{40}[/tex]
Let the time it will take both of them = x minutes
Therefore:
[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]
It would take the two of them 24 minutes to mow the lawn.
please help me answer this
Answer:
Train was late by 13 minutes.
Step-by-step explanation:
Time train took to travel = 290 miles / 50 mph
= 5.8 h
= 5h 48 min.
Time train left = 10:10 am
Time of arrival
= 10:10 + 5:48
= 15:58 pm
= 3:58 pm
Scheduled time of arrival
= 3:45 pm
Train arrived late by
3:58 - 3:45
= 0:13
= 13 minutes.
LINEAR Equations HELP ASAP
Answer: D) -4/3
Step-by-step explanation:
Slop can be represented as [tex]\frac{rise}{run}[/tex]. This equation rises -24 units then runs 18. Thus, the slope is -24/18, or -4/3.
Hope it helps <3
Answer:
-4/3.
Step-by-step explanation:
To get the slope, you do the rise over the run.
In this case, the rise is going to be -24, since the track is falling. The run will be 18.
-24 / 18 = -12 / 9 = -4/3
Hope this helps!
Use the Distributive Property to multiply. –5(2x – 5)\
Answer:
-10x +25
Step-by-step explanation:
–5(2x – 5)
Distribute
-5 * 2x - (-5) * 5
-10x +25
Answer:
-10x + 25
Step-by-step explanation:
-5(2x - 5)
Distribute the expression
-5(2x) + 5(5)
Multiply
-10x + 25
The expression cannot be simplified further
Hope this helps :)
Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b
Answer:
y = 5x + 8
Step-by-step explanation:
Start with y = mx + b: general slope-intercept form, equation of a line:
Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):
8 = 5(0) + b. Then b must be 8, and the desired equation is
y = 5x + 8
Expand (x+3)(2x-4)(x-6)
Answer:
The answer is
2x³ - 10x² - 24x + 72Step-by-step explanation:
(x+3)(2x-4)(x-6)
Expand
We have
(x + 3) ( 2x² - 12x - 4x + 24)
(x + 3)( 2x² - 16x + 24)
2x³ - 16x² + 24x + 6x² - 48x + 72
Simplify
Group like terms
2x³ - 16x² + 6x² + 24x - 48x + 72
We have the final answer as
2x³ - 10x² - 24x + 72Hope this helps you
Study the diagram of circle K, where JL¯¯¯¯¯¯¯ and LM¯¯¯¯¯¯¯¯¯ are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x−6. What is the length of LM¯¯¯¯¯¯¯¯¯?
22
17.6
16
4
Answer:
22
Step-by-step explanation:
The answer is 22. You solve the equation 3x+10=7x-6 like so
3x+10=7x-6
-3 = -3
10= 4x-6
+6 = +6
16=4x
x=4
You then plug in the value of x to the equation for LM.
7x-6 becomes 7*4-6 which is 22.
Using this distribution, find the probability
that a teenager has 4 or more pairs of shoes
in their closet.
Answer:
P = 0.3
Step-by-step explanation:
Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet
When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes
In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved
So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes
From the table that would be; 0.1 + 0.2 = 0.3
Solve for x. Please help
Answer:
x = 37/45
Step-by-step explanation:
Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B
Ok, so these 2 triangles are similar, so we can set up a butterfly equation:
Side 1a would be 8x
Side 1b would be 5x +3
Side 2a would be 10x - 2
Side 2b would be 7x
----------------------------------------------------
Our equation would be
8x/(5x+3) = (10x-2)/7x
We cross multiply to get 8x(10x-2) = 7x(5x+3)
Instead of solving and getting squares, we can x on both sides and we get:
8(10x - 2) = 7(5x+3) ----> we simplify to get
80x - 16 = 35x + 21 ----> it's easy sailing from here.
45x = 37
x = 37/45
gosh i hope it's right...