Answer: x(x−6)
Step-by-step explanation:
Answer:
(x+0)(x-6) OR x(x-6)
Step-by-step explanation:
AC 1*0...AC=0
B -6...B=-6
AC 0*-6
B 0-6
(x+0)(x-6) OR x(x-6)
The height in feet of a squirrel running up and down a tree is a function of time in seconds. Here are statements describing the squirrels movement during four intervals of time Match each description with a statement about the average rate of change of the function for that interval. The squirrel runs up the tree
Answer:
answer choices?
Step-by-step explanation:
an anchor weighing 100 lbs in water is attached to a chain weighing 3 lb/ft in water. find the work done to haul the anchor and chain to the surface of the water from a depth of 25 ft.
In linear equation, 3437.5 feet - lbs is the work done to haul the anchor .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Anchor weighing = 100 lbs
given 3 lb/ft
the combined weight = 3( 25 -y ) + 100
= 175 - 3y
the workdone on small solution is = (175 - 3y)Δy
w = ∫₀²⁵ (175 - 3y) dy
= 175[y]²⁵₀- 3/2[y²]²⁵₀
= 175 [ 25 - 0 ] - 3/2 [ 25²- 0²]
= 3437.5 feet - lbs
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What is the volume of a hemisphere with a diameter of 8 inches?
Answer:
Mind if ya brainiest meh
Step-by-step explanation:
The volume of the hemisphere is 1071.78 ft^3
S=k/t where k is a constant, which two statements are correct?
Answer:
B and C
Step-by-step explanation:
if i had 475 connolies and got left with 24 and i sold them for 2.50 how much money did i make.
For which of these variables would you be interested in finding the biserial correlation coefficient rather than the point-biserial correlation coefficient?
Answer:
The formula for the point biserial correlation coefficient is:
point biserial correlation formula
M1 = mean (for the entire test) of the group that received the positive binary variable (i.e. the “1”).
M0 = mean (for the entire test) of the group that received the negative binary variable (i.e. the “0”).
Sn = standard deviation for the entire test.
p = Proportion of cases in the “0” group.
q = Proportion of cases in the “1” group.
Most people won’t work this formula by hand as most statistical software packages can calculate the coefficient for you.
Is a priori theoretical perspectives are used in both qualitative and quantitative studies?
Yes, a priori theoretical perspectives can be used in both qualitative and quantitative studies.
A priori theoretical perspectives refer to theoretical frameworks, concepts, or hypotheses that are established before data collection or analysis. These perspectives provide a pre-existing theoretical lens through which researchers interpret and analyze their data. In qualitative studies, a priori theoretical perspectives guide the research questions, data collection methods, and data analysis process.
In quantitative studies, they inform the formulation of hypotheses, research design, and statistical analysis. Regardless of the research approach, a priori theoretical perspectives help researchers frame their investigations and generate meaningful insights.
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1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12
Answer:
2, cause it shows a different function or pattern
Perform the operation.
(x^2 + 8x + 8) + (-10x2 + 5x)
Answer:
-9x^2+13x+8
Step-by-step explanation:
Combine like terms-
(x^2 + 8x + 8) + (-10x^2 + 5x)
8x+5x = 13x
(x^2 + 8x + 8) + (-10x^2 + 5x)
-10x^2+x^2 = -9x^2
(x^2 + 8x + 8) + (-10x2 + 5x)
and 8 is just left over, so we put that all together and get...
-9x^2+13x+8
Good luck, have a great day!
Write a linear function f with the values.
The equation of the line is f(X)=(-1/6)x—(19/6)
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
first linear functions have their general form as y= mx + c, where y belongs to the range and X belongs to the domain, m is the slope, and c is the y-intercept.
So using f(x) =y
Given that f(—5)=-4 , X=—5 and y=-4, hence by substituting into the general eqn y= mx+c, You get
-4= -5m+c ------(1)
Also given that f(1)=—3, X=1 and y=—3, hence by substituting into the general eqn y= mx+c, You get
-3= m+c --—-(2)
Solve equation (1) and (2), simultaneously to find the value of m and c. After which you will substitute into y=mx+c or f(X)=mx+c to get your f(X).
Note: you will get m=—1/6 and c=-19/6, from the simultaneous equations.
Hence f(X)=(-1/6)x—(19/6) and correct option is D.
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Verify that y=e^xy is an implicit solution of the differential equation (1-xy)y'=y^2
Yes, y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2
Here,
The differential equation (1-xy)y' = y^2
And, y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2.
What is Differential equation?
A differential equation is a mathematical equation that relates some function with its derivatives.
Now,
To show y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2, we have to find the solution of differential equation.
The differential equation is;
\((1-xy)y'=y^2\\\\\\\\\)
\((1-xy) \frac{dy}{dx} = y^2\)
\(\frac{dx}{dy} + \frac{x}{y} = \frac{1}{y^{2} }\)
It is form of \(\frac{dx}{dy} + Px = Qy\),
Where, P is the function of y and Q is the function of x.
Hence, Integrating factor = \(e^{\int\limits {\frac{1}{y} } \, dy} = e^{lny} = y\)
The solution is;
\(x y = \int\limits {\frac{1}{y^{2} }y } \, dy + c\)
\(xy = lny + c\)
Take c = 0, we get;
\(xy = lny\\\\y = e^{xy}\)
Hence, y = e^xy is an implicit solution of the differential equation
(1-xy)y'=y^2
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p(x) = 2x4+6x3-5x-10; (x+2)
Determine if it’s a factor
Step-by-step explanation:
Using the remainder theorem when , when the value of x + 2 is substituted into the polynomial if it's a factor it will produce a result of zero else any number will prove that it's not a factor.
So we have
x + 2 = 0
x = - 2
Substitute the value of x into the polynomial
That's
\(p( - 2) = 2 ({ - 2})^{4} + 6( { - 2})^{3} - 5( - 2) - 10 \\ = 2(16) + 6( - 8) + 10 - 10 \\ = 32 - 48 \\ = - 16\)
Since it leaves a remainder of - 16 (x + 2) is not a factor of the polynomial
Hope this helps you
A company is developing its weekly production plan. The company produces two products, A and B, which are processed in two departments. Setting up each batch of A requires $60 of labor while setting up a batch of B costs $80. Each unit of A generates a profit of $17 while a unit of B earns a profit of $21. The company can sell all the units it produces. The data for the problem are summarized below.
The decision variables are defined as Xi = the amount of product i produced
Yi = 1 if Xi > 0 and 0 if Xi = 0
Using the approach discussed in the text, what is the appropriate value for M1 in the linking constraint for product A?
The appropriate value for M1 in the linking constraint for product A is $17.
In the given scenario, the decision variable Yi is defined as 1 if the amount of product i produced (Xi) is greater than 0, and 0 if Xi equals 0. This implies that Yi represents whether or not product i is produced. In this case, we are dealing with product A.
The linking constraint is used to ensure that if product A is produced (Yi = 1), then the amount produced (Xi) must be greater than 0. This can be expressed as Xi ≥ Yi * M1, where M1 is a sufficiently large value that ensures the constraint holds.
Since the profit per unit of A is $17, setting M1 equal to this value guarantees that if Yi is 1 (product A is produced), then Xi must be greater than 0 (at least one unit of A is produced). This ensures that the linking constraint is satisfied and reflects the condition that the company can sell all the units it produces.
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from a collection of 51 store customers, 2 are to be chosen to receive a special gift. how many groups of 2 customers are possible?
From the question above, we can know the groups of 2 customers that are possible to be chosen to receive a special gift is 1,275 groups.
How to find possibility of combination?
To find possibility of combination like in the question above, we can use binomial coefficient formula. The binomial coefficient is about two things with two result. The formula of binominal coefficient is \(\binom{n}k} = \frac{n!}{k! (n - k)!}\)
Anyone of the 51 can be chosen first and any of the remaining 50 can be chosen second. Or in which 2 of the 51 can be chosen ⇒ 51 x 50
But, for any given group of 2, the number of different orders in which they could have been chosen is 2 x 1.
So, the numbers of different combination of 2 chosen from 51 is:
\(\binom{51}2} = \frac{51 x 50}{2 x 1}\)
\(\binom{51}2} = \frac{2,550}{2} = 1,275\)
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consider the -matrix and . we want to find the least-squares solution of the linear system using the projection onto the column space of .the projection of onto is
To find the least-squares solution of the linear system using the projection onto the column space of a matrix A, we can use the formula x = (A^T A)^-1 A^T b, where b is the vector on the right-hand side of the system. In this case, A is the given matrix and b is not specified.
The least-squares solution of a linear system Ax=b is the vector x that minimizes the Euclidean distance between Ax and b. Geometrically, this corresponds to finding the projection of b onto the column space of A. The formula x = (A^T A)^-1 A^T b gives us the coordinates of the projection in terms of the columns of A. In other words, we are finding the coefficients that give us the linear combination of the columns of A that best approximates b.
In this specific case, we are given the projection of some vector onto the column space of a matrix A. We cannot find the least-squares solution without knowing b. However, if we had both the projection and b, we could use the formula x = (A^T A)^-1 A^T b to find the least-squares solution.
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What is 69.37 minus 1.93
Answer:
the answer is 67.44 hope it helps smile
Please help me with this I’m having trouble
Answer:
hi
Step-by-step explanation:
Answer:
see attached image
Step-by-step explanation:
create a frequency distribution, this time separating results for sex categories. include in your analysis the appropriate measure of central tendency. are there any differences in their measures? explain.
a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.
Here we already have the data available to us. From the data, we can clearly see that
Mode < Mean < Median
Hence this is a negatively skewed distribution.
Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.
Hence we can say that the median will a more appropriate measure.
Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.
Since now this will become multivariate data, the best measure of central tendency will be Mean.
The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.
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With Alpha set to .05, would we reduce the probability of a Type
I Error by increasing our sample size? Why or why not? How does
increasing sample size affect the probability of Type II Error?
With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.
However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).
Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.
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Find the lower quartile of this data set: 593, 588, 540, 434, 420, 398, 390, 375
420
564
394
427
alsoo im like rly booorrredddd any one wanna talk??
female 14 bdays todayy!!!
Answer:
Quartiles Quartiles:
Q1 --> 396
Q2 --> 423.5
Q3 --> 552
Step-by-step explanation:
Mean x¯¯¯ 461.91666666667
Median x˜ 423.5
Mode 420
Range 218
Minimum 375
Maximum 593
Count n 12
Sum 5543
Quartiles Quartiles:
Q1 --> 396
Q2 --> 423.5
Q3 --> 552
Interquartile
Range IQR 156
Outliers none
3/4X -1 = 2/3X + 4
i just need the work
Answer:
x = 60
Step-by-step explanation:
(3/4)x - 1 = (2/3)x + 4
3x/4 - 1 = 2x/3 + 4
9x/12 - 12/12 = 8x/12 + 48/12
9x - 12 = 8x + 48
x = 60
Please show all work and not just the answers. Please help ASAP!!!!!
9514 1404 393
Answer:
a) x = 14
b) NP = 2 2/9; NL = 2 7/9
Step-by-step explanation:
a) The similarity statement tells you that angle P and angle L have the same measure:
angle L = angle P
3x +18 = 60
x + 6 = 20 . . . . . divide by 3
x = 14 . . . . . . . . . subtract 6
__
b) The proportional segments are ...
PN/NQ = LN/NM
y/3.2 = (5 -y)/4
5y = 4(5 -y) . . . . . multiply by 16
9y = 20 . . . . . . . . add 4y
y = 20/9 = NP
5 -y = (45 -20)/9 = 25/9 = NL
Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish.
The relationship between the elapsed time,
�
tt, in days, since an ocean sunfish is born, and its mass,
�
(
�
)
M(t)M, left parenthesis, t, right parenthesis, in milligrams is modeled by the following function:
�
(
�
)
=
4
⋅
(
81
49
)
�
M(t)=4⋅(
49
81
)
t
M, left parenthesis, t, right parenthesis, equals, 4, dot, left parenthesis, start fraction, 81, divided by, 49, end fraction, right parenthesis, start superscript, t, end superscript
Complete the following sentence about the rate of change in the mass of the sunfish. Round your answer to two decimal places.
The sunfish gains
2
7
7
2
start fraction, 2, divided by, 7, end fraction of its mass every
days.
Step-by-step explanation:
We can use the formula for exponential growth to find the rate at which the sunfish gains mass:
M(t) = M(0) * e^(kt)
where:
M(0) = the initial mass of the sunfish (which we don't know)
k = the growth rate constant (which we also don't know yet)
t = the elapsed time since the sunfish was born (in days)
e = the mathematical constant approximately equal to 2.71828...
We are given the formula for M(t), which is:
M(t) = 4 * (81/49)^t
This means that M(0) = 4 * (81/49)^0 = 4.
To find the growth rate constant k, we can use the fact that the sunfish gains 2/7 of its mass every day. This means that the daily growth rate is 2/7 of the current mass. In other words, the daily growth rate is:
(2/7) * M(t)
We can relate this to the exponential growth formula by taking the derivative of M(t) with respect to t:
dM/dt = k * M(t)
Taking the derivative of M(t), we get:
dM/dt = ln(81/49) * 4 * (81/49)^t
Setting this equal to the daily growth rate, we get:
(2/7) * M(t) = ln(81/49) * 4 * (81/49)^t
Simplifying this expression, we get:
k = ln(81/49) * 4/7
Using a calculator, we can evaluate this expression to get:
k ≈ 0.0919
Therefore, the rate at which the sunfish gains mass is given by:
dM/dt = 0.0919 * M(t)
To find out how much mass the sunfish gains in one day, we can substitute M(t) = 4 * (81/49)^t into this formula and evaluate it at t = 1 (since we want to know the daily rate of change):
dM/dt = 0.0919 * 4 * (81/49)^1
dM/dt ≈ 0.54
This means that the sunfish gains 0.54 milligrams every day. To express this as a fraction of its mass, we can divide by the current mass:
(0.54/4) ≈ 0.1375
So the sunfish gains approximately 2/7 (or 0.2857) of its mass every 2.08 (or 7/2.54) days. Rounded to two decimal places, this is 0.14 or approximately 2/7 of its mass every 2.08 days.
Why is he using an open circle for x > 4 ?
We want to include 4 in our solution set
or
We do not want to include 4 in our solution set
An open circle is used to represent x > 4 as we do not want to include 4 in our solution set.
How to graph inequalities?Treat the <, ≤, >, or ≥ as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either or. Graph the equation as a solid line if the inequality is either or. The xy plane is split along this line into two regions: one that fulfils the inequality and the other that does not.
Using the open instructions when we plot the inequality we see that x > 4 has an open circle at 4.
This indicates that we do not want to include 4 in our solution set.
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i need someone to help me with my algebra homework :(
Answer:
ok, what grade level? and you need to actually type the questions into here
I'll help because your pfp proves that you are indeed a classy individual
So.... using the point-slope formula
y-y₁=m(x-x₁)
y₁ is the y-coordinate
x₁ is x-coordinate
m is the slope
when we find the slope from both points we find that they both have a slope of 16/3
therefore... the lines are parallel
From least to greatest -3/8, 1/8, -1/4, -3/5, 1/5
Answer: -3/5, -3/8, -1/4, 1/8, 1/5
Step-by-step explanation:
If f'(5)=8 and f'(10)= -3, what can we conclude about the minima
and/or maxima of f(x) and their location?
Since f'(5) = 8 and f'(10) = -3, we can conclude that the function f(x) has a local maximum at x = 5 and a local minimum at x = 10.
This is because the sign of the derivative of a function changes from positive to negative as we move from left to right through a local maximum, and changes from negative to positive as we move from left to right through a local minimum.
In this case, since f'(5) = 8 (positive) and f'(10) = -3 (negative), the slope of the tangent line to the graph of f(x) is increasing at x = 5, indicating a local maximum, and decreasing at x = 10, indicating a local minimum. Therefore, we can conclude that f(x) has a local maximum at x = 5 and a local minimum at x = 10.
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13. MULTIPLE CHOICE Which statement about the diagram at the right is true?
A. A, B, and C are collinear.
B. C, D, E, and G are coplanar.
C. B lies on Ray GE.
D. Ray EF and ray ED are opposite rays.
CHAMPS CHAMPS
2005 2006 D
Answer:
A
Step-by-step explanation:
I hope right answer
I hope right answer
What is the simplest form of 324xy³2
?
Answer:
2² * 3⁴ * x * y³
Step-by-step explanation:
Simplify:First prime factorize 324
324 = 2 * 2 * 3 * 3 * 3 * 3
Now , write in exponent form:
324 = 2²*3⁴
324xy³ =2² * 3⁴ * x * y³
2 A bag contains & blacks balls and 5 yellow balls, 2 balls are taken at random one after the other without replacement find-the probability that they are both black they fare both yellow & the first as yellow - and the second is black one is yellow the other is black they are of the same colour
The probability values are calculated and listed below
Finding the probabilitiesThey are both black
Here, we have
Black = 3
Yellow = 5
Sice the balls are not replaced, we have
P(Both black) = 3/8 * 2/7
P(Both black) = 3/28
They are both yellow
Sice the balls are not replaced, we have
P(Both Yellow) = 5/8 * 4/7
P(Both Yellow) = 5/14
The first is yellow and the second is black
Sice the balls are not replaced, we have
P(Yellow and black) = 5/8 * 2/7
P(Both Yellow) = 5/28
One is yellow the other is black
Sice the balls are not replaced, we have
P(One Yellow and One black) = 5/8 * 2/7 * 2
P(One Yellow and One black) = 5/14
They are of the same colour
Here, we have
P(Same) = 3/28 + 5/14
P(Same) = 13/28
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