How do I expand the brackets for the equation 5x(6x+1)?
Step-by-step explanation:
30x+5×=35×
35x is your answer
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
Answer:
The common difference between successive terms in the sequence is -0.1
Step-by-step explanation:
Common difference in an arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
0.36, 0.26, 0.16, 0.06, -0.04, -0.14
Subtraction of each term by its predecessor. So
0.26 - 0.36 = 0.16 - 0.26 = -0.1
The common difference between successive terms in the sequence is -0.1
Write the following numbers in decreasing order: −4; 1 2/3 ; 0.5; −1 3/4 ; 0.03; −1; 1; 0; -103; 54
100 points (plz answer asap)
Answer:
-103; -4; -1 3/4; -1; 0; 0.03; 0.5; 2/3; 1; 54
Decreasing order means from largest to smallest
The ordered list is:
54, 1 2/3, 1, 0.5, 0.03, 0, -1, -1 3/4, -4, -103
What is the area of the triangle?
Answer:
5 units²
Step-by-step explanation:
Area of the triangle = ½ × base × height
base = 2
height = 5
Plug in the values into the formula
Area = ½ × 2 × 5
Area = ½ × 10
Area = 5 units²
Answer the question and I will give you brainiest
Answer:
yellow bar
Step-by-step explanation:
What is a prime polynomial?
Answer:A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
Step-by-step explanation:
Answer:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 200,010 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]
Answer:
9
Step-by-step explanation:
Slope is the same as coefficient of x
From the equation
3x+4y=12
Y=(-3/4)x+3
The slope for this eqn is -3/4
For this equation
Px+12y=30
12y=-p+30
Y= (-p/12)x +30/12
The slope is -p/12
To get p
-p/12=-3/4
P=9
The value of "p" is 9 for the pair equations [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].
Solutions to a system of linear equationsA system of linear equations can have,
no solutionexactly one solution or unique solutioninfinitely many solutionsConditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]Calculating the "p" value for the given pair of equations:Given pair of equations
[tex]3x + 4y = 12\\px + 12y = 30[/tex]
Representing them in the slope-intercept form:
[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]
As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m
So, for the two equations slopes are,
[tex]m_1=-\frac{3}{4}[/tex] and
[tex]m_2=-\frac{p}{12}[/tex]
Since it is given that there is no unique solution for the given pair of equations we can write,
[tex]m_1=m_2[/tex]
⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]
⇒[tex]p=9[/tex]
Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.
Learn more about linear equations here:
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How to understand the area of triangles using height and base
The area of a triangle is 1/2 x base x height.
When you know the base and the height of a triangle, multiply them together, than multiply by 1/2 ( this is the same as dividing it by 2).
Answer:
Base times height divided by 2 = area.
A ball is thrown straight up from the top of a building 144 ft tall with an initial velocity of 48 ft per second. The height
s(t) (in feet)
of the ball from the ground, at time t (in seconds), is given by
s(t) = 144 + 48t − 16t^2.
Find the maximum height attained by the ball.
Answer:
180feet
Step-by-step explanation:
Given the function that models the height of a ball
s(t) = 144 + 48t − 16t^2.
At maximum height, the velocity is zero ie. ds/dt = 0
ds/dt = 48 - 32t
0 = 48 - 32t
48 = 32t
t = 48/32
t = 1.5secs
Get the maximum height
s(t) = 144 + 48t − 16t^2.
s(1.5) = 144 + 48(1.5)-16(1.5)^2
s()1.5) = 144 + 72 - 16(2.25)
s(1.5) = 144 + 72-36
s(1.5) = 180 feet
Hence the maximum height attained by the ball is 180feet
Suppose that in a random sample of size 200, standard deviation of the sampling distribution of the sample mean 0.08. researcher wanted to reduce the standard deviation to 0.04. what sample size would be required?
Answer:
400
Step-by-step explanation:
The computation of the sample size needed is shown below:
Since at the sample size of 200 there is a standard deviation of 0.08
But when the standard deviation is 0.04 so the sample size is 400
As sample standard deviation would be inversely proportional to the square root of the sample size
The cost of a pair of Jordans is $125.00. The local sporting goods store sells it for $175.00. Find the markup rate.
Answer: 76
Step-by-step explanation:
Answer:
125 X 40% = 50.00
50.00 is the increase from the markup rate
Answer is 40%
Step-by-step explanation:
What is the image of (-8,-7) after a dilation by a scale factor of 2 centered at the origin?
Answer:
The image is (-16,-14)
Step-by-step explanation:
Given
Represent the point with A
[tex]A = (-8,-7)[/tex]
[tex]Scale\ factor = 2[/tex]
Required
Determine the image (A')
The image is calculated as:
[tex]A' = A * Scale\ factor[/tex]
[tex]A' = (-8,-7) * 2[/tex]
So, we have:
[tex]A' = (-8* 2,-7* 2)[/tex]
[tex]A' = (-16,-14)[/tex]
Hence, the image is (-16,-14)
A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:
90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three
Required:
How many are interested in exactly one kind of show?
Answer:
144
Step-by-step explanation:
The best way to attempt this question is to solve it using a Venn diagram
From the given information, Let;
D = documentaries
I = interview shows
G = game show reruns
From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.
i.e
= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)
= 300 - 234
= 66
∴
No of those interested in exactly one kind of show = 66 + 60 + 18
= 144
∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]
52.76= 52+0.7+____
i hate this app a bit
Answer:
52.76= 52+0.7+52.76
Step-by-step explanation:
How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.
Answer:
Move the decimal two places to the right and add a percent sign.
Step-by-step explanation:
.15= 15%
1.25= 125%
.06= 6.0, or 6%
Answer:
To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.
Step-by-step explanation:
find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.
Answer:56
Step-by-step explanation:
PLEASE HELP 2O POINTS
What function is graphed below
y = x - 3
y = 3x
y = - 1
y = x + 3
Answer:
the answer is the third one :)
Step-by-step explanation:
Answer:
number 3
Step-by-step explanation:
The slope of the normal curve y=3x^2-5x is at the point (0,0)
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Consider the curve [tex]y=3x^2-5x[/tex]
Differentiate with respect to [tex]x[/tex]
[tex]\frac{dy}{dx} =3(2x)-5=6x-5[/tex]
( Use [tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex] )
Slope of normal curve is given by [tex]\frac{-1}{\frac{dy}{dx} }[/tex]
Slope of normal curve = [tex]\frac{-1}{6x-5}[/tex]
To find slope of normal curve at point [tex](0,0)[/tex] ,put [tex]x=0[/tex] in [tex]\frac{-1}{6x-5}[/tex]
Slope of normal curve at point [tex](0,0)[/tex] = [tex]\frac{-1}{6(0)-5} =\frac{-1}{-5}=\frac{1}{5}[/tex]
Bob gets the following homework grades:
2, 2, 2, 2, 2, 10, 10, 10, 10, 10.
Tom gets the following homework grades:
7, 7, 7, 7, 7, 7, 7, 7, 7, 7
Pat gets the following homework grades:
1, 1, 8, 8, 8, 8, 8, 8, 10, 10
Required:
Find the mean homework grade for each student, find the median homework grade for each student, and ESTIMATE the standard deviation for each student.
Step-by-step explanation:
for bob;
his grades = 2, 2, 2, 2, 2, 10, 10, 10, 10, 10.
total = 60
mean = total/n
= 60/10 = 6
meadian is the middle value in the set of scores. the numbers are even so =
2+10 / 2
median = 12/2 = 6
standard deviation using excel = 4.216
for tom
7, 7, 7, 7, 7, 7, 7, 7, 7, 7
total = 70
mean = 70/10 = 7
median = 7+7/2 = 14/2 = 7
standard deviation using excel = 0
for pat:
1, 1, 8, 8, 8, 8, 8, 8, 10, 10
total = 70
mean = 70/10 = 7
median = 8+8/2 = 16/2 = 8
standard deviation using excel = 3.265
What is the slope-intercept form of the equation -3x + y=12
PLEASE HELP WILL GIVE BRAINLIEST
What is the correct standard form of the equation of the parabola?
Enter your answer below. Be sure to show each step of your work.
Answer:
Step-by-step explanation:
the standard form for an equation of a parabola is y = a[tex]x^{2}[/tex] + bx + c
also standard form is (x-h)^2 = 4p(y-k)
-(x+3)^2 =4(y-3) for the shown parabola
a snowboarder travels 135 meters in 9 seconds how far will the snowboarder travel in 18 seconds
Answer:
The snowboarder travels 270 m in 18 seconds.
Step-by-step explanation:
Given that,
A snowboarder travels 135 meters in 9 seconds.
We need to find how far will the snowboarder travel in 18 seconds.
9 seconds = 135 m
1 second = (135/9) m
In 18 seconds,
[tex]t=\dfrac{135}{9}\times 18\\\\=270\ m[/tex]
So, the snowboarder travels 270 m in 18 seconds.
Find the slope of the line that passes through (6, 8) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]
Simplify.
[tex]m = \frac{1}{4} [/tex]
Therefor, the slope is 1/4.
You are the only bidder in an online auction of a nintendo wii system with games and accessories. The seller has set a secret reserve price (the minimum price she is willing to accept for the wii). Assume that the secret reserve price x is uniformally distributed between $240 and $320.1) Height of the probability density function f(x) varies with x as follows (round to four decimal places). 240 ≥ x ≥ 3202) You enter a bid of $280 for the wii. What is the probability that you'll win the auction?3) What is the mean secret reserve price?4) What is the standard deviation of the above question?5) You enter your bid of $280 and see that the seller's reserve price has not been met. You enter a new bit of $300. Now what is the probability that you'll win the auction?
Answer:
1. 1/80 = 0.0125
2. 1/2 = 0.5
3. 280
4. 23.09
5. 1/2 = 0.5
Step-by-step explanation:
1. height of probability density function
[tex]\frac{1}{320-240} \\= \frac{1}{80}[/tex]
= 0.0125
2. probabilty that you will win the auction given a bid of 280
= [tex]\frac{280-240}{320-240} \\=\frac{40}{80} \\= \frac{1}{2}[/tex]
3. mean secret service price
[tex]\frac{320+240}{2} \\=\frac{560}{2} \\= 280[/tex]
4. the standard deviation of the above
= (320-240)/12^1/2
= 23.09
5. with a new bid of 300 dollars, probability you will win auction
= [(300-280)/(320-240)]/[(320-280)/(320-240)
= (20/80) / (40 /80)
= 0.25/0.5
= 0.5
what is the y intercept of this line
Answer:1
Step-by-step explanation:
How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).
How do you identify horizontal asymptotes? How do you know the equation of the asymptote?
Step-by-step explanation:
If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote. If the polynomial in the numerator is a higher degree than the denominator, there is no horizontal asymptote.
solve for x 7x - 6 = 9x + 6
x = -6
Step-by-step explanation:
7x - 6 = 9x + 6
Add 6, both sides;
7x-6+6 = 9x+6+6
7x=9x+12
Subtract 9x, both sides;
7x-9x = 9x+12-9x
-2x = 12
Divide by same term (-2 in this case);
-2x/-2 = 12/-2
x = -6
Therefore, the value of x is -6
QUESTION 1
1.1 Given the arithmetic series: - 7 - 3+1 ........... + 173
1.1.2 Calculate the sum of the series.
Step-by-step explanation:
answer is 3,818
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A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec
Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:
D. -16 ft/sec
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:
r = -48 ft/3 s = -16 ft/s
Hence option D is correct.
More can be learned about the average rate of change at https://brainly.com/question/24313700