Answer:
(-7x + 4)(-7x - 4)
Step-by-step explanation:
When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.
Ex: (a+b)(a-b)
OR (x+2)(x-2)
OR (m-3)(m+3)
OR (2x+1)(2x-1)
OR (-5n+7)(-5n-7)
These multiplications
(–7x + 4)(–7x + 4) and
(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.
(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.
Difference of squares:
(a+b)(a-b)=
a^2 - b^2
How do I find the answer to Part C?
Answer:
send a pic, and I will edit this so you can know the answer but send a pic thx
Step-by-step explanation:
helpppppppppppp meeeeeeeeeeee pleaseee!!!
The domain and range are:
D: {2, 3, 6}
R: {70, 80, 90, 100}
And it is not a function.
How to find the domain and range?A relation maps elements x into elements y using the notation (x, y).
The domain is the set of the inputs (set of the possible values of x) and the range is the set of the outputs (possible values of y).
And a relation is a function if each value in the domain is mapped into only one value of the range.
Here the relation is:
{ (6, 90), (2, 70), (6, 80), (3, 100)}
So the domain is:
D: {2, 3, 6}
The range is:
R: {70, 80, 90, 100}
And it is not a function because the input 6 is mapped into two different outputs.
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Write an equation of a line in point-slope form that goes through the point (-7, -2) with aslope of 2/3
Given:
\(\text{slope(m)}=\frac{2}{3};(x_1,y_1)=(-7,-2)\)Equation of line is,
\(y-y_1=m(x-x_1)\)\(y+2=\frac{2}{3}(x+7)\)\(y=\frac{2}{3}x+\frac{14}{3}-2\)\(y=\frac{2}{3}x+\frac{8}{3}\)Work out 97.974436 divided 14 and give your answer to 2 decimal places.
Answer:
6.998 rounded to 7.00
Step-by-step explanation:
Q.2. A cricketer scores the following runs in eight innings :
58, 76,40, 35, 46, 45,0, 100
What will be their mean score ?
a. 400
b. 50
c. 200
Q.3. What will be the range of following data ?
32 , 41 , 28, 54, 35, 26,33 , 23, 38, 40
b. 23
c. 31
a. 25
Answer: Mean Score = 50 Range = 31
Step-by-step explanation:
58+76+40+35+46+45+0+100=400
400/8=50
Range = subtract smallest number from largest number
54 - 23 = 31
HELP PLEASE
14-(-5)+12+(-18)=
Answer:
13
Step-by-step explanation:
because wothe the power of God and anime-
the expression $x^2 3x - 28$ can be written as $(x a)(x - b),$ and the expression $x^2 - 10x - 56$ written as $(x 2b)(x c)$, where $a$, $b$, and $c$ are integers such that $c > 0.$ what is the value of $2c - a$?
The required value of the expression 2c - a is 1.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
It's possible to multiply, divide, add, or subtract with this mathematical operation.
An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)
So, we have:
x²+3x-28
x²+7x-4x-28 [28=7×2×2, 7-(2×2)=7-4=3]
x(x+7)-4(x+7)
(x+7)(x-4)$
In light of the fact that x2+3x-28 can be expressed as (x+a)(x-b).
in order to compare (x+7)(x-4) and (x+a)(x-b).
As a result, a = 7 and b = 4.
Similarly,
x²-10x-56$
x²-14x+4x-56 [ 56= 7×2×2×2, - (7×2)+(2×2) = -14+4=10]
x(x-14)+4(x-14)
(x-14)(x+4)
Given that (x+2b)(x+c) can be used to represent x2-10x-56.
Consequently, compare (x-14)(x+4)and (x+2b)(x+c).
Now, c=4 [∵c>0].
Then,
2c-a
(2×4)-7
8-7
1
Therefore, the required value of the expression 2c - a is 1.
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Compute the answers for this fish tank containing water.
Compute the mass of water filling this tank.
0.25 g
20 g
250 g
Answer:
Option (3)
Step-by-step explanation:
Since density on an element = \(\frac{\text{Mass}}{\text{Volume}}\)
Volume of the water in the aquarium = volume of the aquarium
= Length × width × height
= 10 × 5 × 5
= 250 cm³
We know density of the water = 1 gram per cm³
By putting these values in the formula,
1 = \(\frac{\text{Mass}}{250}\)
Mass = 250 g
Therefore, Option (3) will be the answer.
PLSSSSS HELP 20 POINTS!!!!! NEEDE BY NOV 19 2022The length of the side of a rhombus is 14 in. The measure of each obtuse angle is 160°. Find the length of the longer diagonal of the rhombus.
Answer:
27.57 in
Step-by-step explanation:
You want the length of the longer diagonal of a rhombus with side lengths 14 inches and obtuse angle 160°.
Law of CosinesThe law of cosines can be used to find the diagonal length. The length of the third side (c) is given by ...
c² = a² +b² -2ab·cos(C)
where a and b are the other two sides, enclosing angle C.
Applicationc² = 14² +14² -2·14·14·cos(160°)
c² = 392 -392·cos(160°) ≈ 760.35951
c ≈ 27.5746
The longer diagonal is about 27.57 inches long.
Answer:
Step-by-step explanation:
fars
what is 1 1/3 times 1 3/4 T-T
Answer:
The answer is: 7/3 or if ya want it simplified ( 2 1/3)
~ hope this helped, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
2 and 1/3
Step-by-step explanation:
describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
What is the greatest common factor of 40, 20, and 30?
What is the greatest common factor of 40, 20, and 30?
its 40
a company is developing a new drug for reducing the symptoms of pollen allergies. they have developed two forms of the drug: a and b. the company wants to find out which form is most effective and to determine whether the amount to be taken each day should be split into one, two, or three doses. a set of volunteers who suffer from pollen allergies is randomly split into groups to receive treatments. a) how many factors are there? what are they? b) how many levels of the factors are there? what are they? c) how many treatments are there? what are they? d) referring to the experiment above, identify the following: response variable experimental units e) how might you incorporate a control group? why might a control group be beneficial?
The experiment involves two factors, six treatments, and the response variable is the reduction in pollen allergy symptoms among the experimental units.
The experiment being conducted by the company involves two forms of a drug, namely A and B, and aims to determine which form is more effective in reducing pollen allergy symptoms, and whether the daily amount should be split into one, two, or three doses. There are two factors involved in the experiment: the form of the drug (A and B) and the number of doses (one, two, or three). The drug form factor has two levels (A and B), while the dose factor has three levels. Therefore, there are a total of six treatments in the experiment, which are as follows: A1, A2, A3, B1, B2, and B3. The response variable in the experiment is the reduction in pollen allergy symptoms, and the experimental units are the volunteers who suffer from pollen allergies. A control group can be incorporated into the experiment by randomly assigning some volunteers to receive a placebo or an existing allergy medication, instead of the new drug. A control group would be beneficial in order to compare the effectiveness of the new drug with the existing treatment, and to ensure that any observed effects are not due to chance or other factors.
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Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.
HELPPPPPPPPPPPPPPPPPPPPPPPP PLS
Answer:
formulasfrequency=speed/wavelength
f=250/50
f=50hz
suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. it was estimated that the current proportion of customers who click on ads on their smartphones is 0.45 based on a random sample of 150 customers. compute a 98% confidence interval for the true proportion of customers who click on ads on their smartphones and fill in the blanks appropriately.
Therefore, the 98% confidence interval for the true proportion of customers who click on ads on their smartphones is approximately (0.369, 0.531).
To compute the 98% confidence interval for the true proportion of customers who click on ads on their smartphones, we can use the formula for a confidence interval for a proportion.
Confidence Interval = Sample Proportion ± (Critical Value) * (Standard Error)
Given:
Sample Proportion (p) = 0.45
Sample Size (n) = 150
Confidence Level = 98%
To find the critical value, we can use a Z-table. For a 98% confidence level, the critical value is approximately 2.33.
The standard error is calculated using the formula:
Standard Error = √((p * (1 - p)) / n)
Plugging in the values, we have:
Standard Error = √((0.45 * (1 - 0.45)) / 150)
≈ 0.0363
Now we can calculate the confidence interval:
Confidence Interval = 0.45 ± (2.33 * 0.0363)
Calculating the upper and lower bounds of the confidence interval:
Upper bound = 0.45 + (2.33 * 0.0363)
≈ 0.531
Lower bound = 0.45 - (2.33 * 0.0363)
≈ 0.369
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations with their solution sets. y + 12 = x2 + x x + y = 3 y − 15 = x2 + 4x x − y = 1 y + 5 = x2 − 3x 2x + y = 1 y − 6 = x2 − 3x x + 2y = 2 y − 17 = x2 − 9x -x + y = 1 y − 15 = -x2 + 4x x + y = 1 Solution Set Linear-Quadratic System of Equations {(-2, 3), (7, -6)} arrowRight {(-5, 8), (3, 0)} arrowRight {(-2, 5), (3, -5)} arrowRight {(2, 3), (8, 9)} arrowRight
Answer:
Step-by-step explanation:
The solution of this systems of equations is the intersection of both graphs
Let's kick start with a:
a)
\(y+12 = x^2+x \\ \\ x+3 = y\)
From the first attached diagram by using graph:
the solution is the set {(-5, 8), (3, 0)}
b)
\(y-15=x^3+4x \\ \\ x-y =1\)
Using the graph tool from the last diagram below;
the solution is the set⇒( there is no solution)
c)
\(y+5 =x^2-3x \\ \\ 2x+y =1\)
From the second attached diagram by using graph:
the solution is the set {(-2, 5), (3, -5)}
d)
\(y-6=x^2-3x \\ \\ x+2y =2\)
the solution is the set ⇒ there is no solution (shown in the last diagram below)
e)
\(y-17=x^2-9x \\ \\ -x+y =1\)
the solution is the set {(2, 3), (8, 9)} as shown in the third diagram
f) Lastly:
\(y-15=-x^2+4x \\ \\ x+y =1\)
Using the graph tool from the fourth diagram below;
the solution is the set {(-2, 3), (7, -6)}
The solution to the system of equations are the truth values of the system of equations
\(\mathbf{(a)\ y + 12 = x^2 + x,\ x + 3 = y}\)
The graphs of the equations intersect at (-5,8) and (3,0).
So, the solution set is {(-5,8), (3,0)}
\(\mathbf{(b)\ y - 15 = x^3 + 4x,\ x - y = 1}\)
The graphs of the equations do not intersect
So, the system has no solution
\(\mathbf{(c)\ y + 5 = x^2 - 3x,\ 2x + y = 1}\)
The graphs of the equations intersect at (-2,5) and (3, -5).
So, the solution set is {(-2, 5), (3, -5)}
\(\mathbf{(d)\ y - 6 = x^2 - 3x,\ x + 2y = 2}\)
The graphs of the equations do not intersect
So, the system has no solution
\(\mathbf{(e)\ y - 17 = x^2 - 9x,\ -x + y = 1}\)
The graphs of the equations intersect at (2,3) and (8,9).
So, the solution set is {(2, 3), (8, 9)}
\(\mathbf{(f)\ y - 15 = -x^2 + 4x,\ x + y = 1}\)
The graphs of the equations intersect at (-2,3) and (7,-6).
So, the solution set is {(-2, 3), (7, -6)}
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1 dm = _______ cm what answer of this
Answer:
1dm = 10cm
Simple as it is
Answer:
The term “Deci” means one-tenth, and therefore decimetre means one-tenth of a meter. Since a meter is made up of 100 cm, one-tenth of 100 cm is 10 cm. Thus one decimeter measures 10 cm.
Step-by-step explanation:
hope it's help!
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Find the unknown side lengths in these right triangles.
When is it true the Pythagorean Theorem is..?
A) True for all triangles
B) True for all right triangles
C) True for some right triangles
D) Never true
Answer:
Triangle 1 - \(\sqrt{29\) (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)
Triangle 2- i couldnt figure this one out- may not be true
Pythagorean Theorem is... C) true for all right triangles
Step-by-step explanation:
find the values of a and b
Answer:
Im not sure about a but, b= 38
Step-by-step explanation
b: 90 - 52 = 38
*90 because it is a right angle
Which of the following is rational?
1) 3xPi
2) 2/3+9.26
3) \/45+\/26
4) 14.3+5.7876239...
BTW this ( \/ ) means the squared sybol. i did it like that because iididn't know how to do the squared symobl on a keyboard.
_
And the 3 in 14.3 is a repeating 3
Select the correct answer.
A group of researchers carried out a study to determine which type of portable water purification system is the most effective. Throughout the study, they used water from a variety of lakes in the region.
Which conclusion could be reported based on this study?
A.
The portable water purification system that is found to be the most effective will work for all bodies of water.
B.
The portable water purification system that is found to be the most effective will work only for lake water.
C.
The study will produce results regarding the effect of the portable water purification systems only on lake water in that region.
D.
The study is inherently biased, and no results can be reported.
Answer: The study will produce results regarding the effect of the portable water purification systems only on lake water in that region.
Step-by-step explanation: I got it right
Is it A B C or D? Please respond
Practice
Compare. Use >, <, or = to make a true statement
30 ounces o 2 pounds
After unit conversion , the statement is 30 ounces < 2 pounds.
What is unit conversion?
The same feature is expressed in a different unit of measurement through a unit conversion. Time can be stated in minutes rather than hours, and distance can be expressed in kilometres rather than miles, or in feet rather than any other unit of length.
Here the given is 32 ounces and 2 pounds,
We know that , if two values in same measurement then we can easily compare them.
Here we know that 1 pound = 16 ounces. Then
=> 2 pounds = 16*2 = 32 ounces.
Hence the statement is 30 ounces < 2 pounds.
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15÷7500
what is the answer
Answer:
Answer is 0.002
Step-by-step explanation:
15÷7500 = 0.002
Answer:
ampota ma,pakyu
Step-by-step explanation:
what is the answer dapalon taka karun
Which of these statements are true about radicals exponents?
1. The nth of a can be written as and as
\(a {}^{ \frac{1}{n} } \)
\( \sqrt[n]{a} \)
2. The notation a1/2 is rational exponent notation for the square root of a
3.
\(a { }^{ \frac{p}{q} } = \sqrt[p]{a {}^{q} } = ( \sqrt[p]{a} ) {}^{q} \)
4. The notation is radical notation for the square root of a
\( \sqrt{a {}^{n} } \)
5.
\(a {}^{ \frac{1}{n} } = \sqrt{a {}^{n} } \)
Answer:
its 5.
Step-by-step explanation:
Let u denote the unemployment rate, f the job finding rate, and s the separation rate. The law of motion for the unemployment rate is (where Δu=u t+1 −u t is the change in the unemployment rate): a. Δu=fu−s(1−u). d. Δu=fu+s(1−u). b. Δu=su−f(1−u). e. Δu=su+f(1−u). c. Δu=s(1−u)−fu.
The law of motion for the unemployment rate is given by the equation: Δu = fu - s(1 - u). The correct option is (a) Δu = fu - s(1 - u).
The equation represents the change in the unemployment rate (Δu) over time. Let's break down the components of the equation:
- fu represents the job finding rate (f) multiplied by the current unemployment rate (u). This term represents the number of unemployed individuals who find jobs and transition into employment, which decreases the unemployment rate.
- s(1 - u) represents the separation rate (s) multiplied by the difference between one and the current unemployment rate (1 - u). This term represents the number of individuals who become separated from their jobs and enter unemployment, which increases the unemployment rate.
Therefore, the equation Δu = fu - s(1 - u) combines the effects of job finding and separation rates on the change in the unemployment rate.
Thus, the correct option is (a) Δu = fu - s(1 - u)
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Systems of Linear Equations. A florist has two arrangements offered at special prices. The first arrangement consists of 5 lilies and 1 rose and costs $19.75. The second arrangement consists of 6 lilies and 3 roses and costs $27.75. What are the costs of each lily and each rose?
The cost of each lily is $3.25, and the cost of each rose is $6.50 according to the first arrangement and second arrangement.
Let's assume the cost of each lily is represented by "L" and the cost of each rose is represented by "R." Based on the given information, we can form a system of linear equations.
From the first arrangement, we know that 5 lilies and 1 rose cost $19.75. This can be written as the equation 5L + R = 19.75.
From the second arrangement, we know that 6 lilies and 3 roses cost $27.75. This can be written as the equation 6L + 3R = 27.75.
To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.
Multiply the first equation by 3 and the second equation by -1 to eliminate the R term:
15L + 3R = 59.25
-6L - 3R = -27.75
Adding the equations, we get:
9L = 31.50
Divide both sides by 9:
L = 3.50
Now substitute the value of L back into one of the original equations. Let's use the first equation:
5(3.50) + R = 19.75
17.50 + R = 19.75
Subtract 17.50 from both sides:
R = 2.25
Therefore, the cost of each lily is $3.50, and the cost of each rose is $2.25.
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simplify -4 1/4 - (-9 1/2)
Answer:
the answer is 5 1/4
Answer: it’s d
Step-by-step explanation:
g Random digits are integers selected from among {0,1,2,3,4,5,6,7,8,9} one at a time in such a way that at each stage in the selection process the integer chosen is just as likely to be one digit as any other. In simulation experiments it is often necessary to generate a series of random digits by using a random number generator. In generating such a serie, let X denote the number of trials needed to obtain the first zero. a) What is the functional form of the pmf? b) Find the P(X=3). c) Find P(X<=5). d) What is the mean of X? e) What is the Var(X)?
Answer:
a) P(X=x) = p× (1-p)^(x-1)
b) P(X=3) = 0.081
c) P(X≤5) = 0.40951
d) Mean of X= 10
e) Var(X)= 90
Step-by-step explanation:
This is a question on geometric distribution.
In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.
This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)
For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}
We stop the trials when we get a success.
From the question, there are 10 numbers
The probability of success = p = 1/10
For the solutions of the question from (a-e), See attachment below.
f(x) = P(X= x)
Where P(X= x) is the probability of X taking on a value x
Please help please I need to know this
Answer: X=19
Step-by-step explanation:
Add up everything and set it to 180 degrees so (5x+4)+(x-2)+(3x+7)=180
next 9x+9=180
then 9x=171
x=19
If you want to check by pluggin in value for x for all angles and it should equal 180 added up
Angle POS= 99
Angle SOR= 17
Angle ROQ= 64
99+17+64=180 degrees
Answer:
i have made it in above picture
hope it helps