The one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
[tex]x^3 + 11x^2 - 3x -33 \\\\ x^2(x+11)-3(x+11)_[/tex]
We will find the final solution as [tex]x^2(x+11)-3(x+11)_[/tex].
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be [tex]x^2(x+11)-3(x+11)_[/tex].
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Which expressions are equivalent to ? Choose all the correct answers. Show your work.
Answer:
C, D, F
Step-by-step explanation:
Exponent rules:
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]\dfrac{1}{a^{-n}}=a^n[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad\dfrac{24^{-3}}{24^{-4}}=24^{-3-(-4)}=24^1=24[/tex]
[tex]\textsf{B}\quad3^{-2} \cdot 8^{-5}=\dfrac{1}{3^2} \cdot \dfrac{1}{8^5}=\dfrac{1}{9} \cdot \dfrac{1}{32768}=\dfrac{1}{294912}[/tex]
[tex]\textsf{C}\quad\left(\dfrac{1}{24^{-7}}\right)^{-1}=\left(24^7\right)^{-1}=24^{-7}[/tex]
[tex]\textsf{D}\quad\dfrac{8^{-7}}{3^7}=\dfrac{1}{8^7 \cdot 3^7}=\dfrac{1}{(8 \cdot 3)^7}=\dfrac{1}{24^7}=24^{-7}[/tex]
[tex]\textsf{E}\quad24^7 \cdot 24^0=24^7 \cdot 1=24^7[/tex]
[tex]\textsf{F}\quad(24^3 \cdot 24^4)^{-1}=\left(24^{3+4}\right)^{-1}=(24^7)^{-1}=24^{-7}[/tex]
If a person with an hourly pay of $9.50 per hour gets a 20% raise, what is the new hourly pay?
ONLY ANSWER IF YOU KNOW THE ANSWER (15 POINTS HELP PLEASE)
CORRECT ANSWER WILL GET BRAINLEST AND LINKS WILL BE REPORTED
THANKS.
A number cube with six sides numbered 1 through 6 is rolled. The probability of rolling a 5 is 1/6.
What is the probability of not rolling a 5?
Enter your answer as a fraction, in simplest form, in the box.
Answer:
The probability of all events occurring is 1
(1/6)+p=1
p=1-1/6
p=5/6
The probability of not rolling 5 is 5/6
Or you could have just said there are five numbers other than 5 out of the six so:
5/6
Julian is a manager at a clothing store for teens. he is analyzing the order for next season. data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5. however, julian thinks the average may have changed due to a recession. he finds that the last three seasons of data show that teens spent an average of $68 on a pair of jeans. therefore, he performed a hypothesis test to see if the recent average is the same. julian used a significance level of 5% to perform the test. which of the following statements is valid based on the results? julian’s data shows that the recent seasons’ average jean price is not $75. julian’s data shows that he should order fewer jeans than before. julian’s data shows that the recent seasons’ average jean price is still $75. julian’s data is inconclusive, so he should order the same number of jeans.
Julian’s data shows that the recent seasons’s average jeans price is not $75.
Julian is a manager at a clothing store for teens.
He is analyzing the order for next season.
What is the average price?
The average price is the mean price of an asset or security observed over some period of time
data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5.
however, Julian thinks the average may have changed due to a recession.
The answer is A).
Julian’s data shows that the recent seasons’s average jeans price is not $75.
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Answer:
Julian’s data shows that the recent seasons’ average jeans price is not $75.
Step-by-step explanation:
edge 2022
Which statistical measure is not strongly affected by a few outliers in the data?.
Answer: Median
The median is not affected by large or small outliers.
The mean on the other hand is affected by outliers. The more distant the outlier, the more skewed the mean will be.
For example, home prices will have a larger than normal mean because of very rich mansions which are far above the average group. This is why the median home price is a more useful measure of center.
Find measure of 2!!!!
Please write the answer quickly- and in degrees!!!!
Instructions: Find the missing side. Round your answer to the nearest tenth
Answer: x ≈ 8.9 units
Step-by-step explanation:
We can use trigonometric functions to help us solve this question.
[tex]\displaystyle sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle sin(43)=\frac{x}{13}[/tex]
[tex]\displaystyle 13(sin(43))=x[/tex]
[tex]\displaystyle x= 13(sin(43))[/tex]
[tex]\displaystyle x= 8.86597868[/tex]
[tex]\displaystyle x \approx 8.9[/tex]
Convert 4 3/5 cups to pints.
Answer:
2.3 pints
Step-by-step explanation:
4.6 cups = 2.3 pints
what is circles and conditional probability
Answer:
what you mean about circles but i do know probability
Step-by-step explanation:
conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
Pls pls pls help ill give you whatever :(
Answer:
4
Step-by-step explanation:
[tex] \sqrt[5]{32^2} = (\sqrt[5]{32})^2 = 2^2 = 4 [/tex]
Pls help algebra 1
A clerk earns $125 per day, plus a commission equal to
10% of her sales, s. The clerk earns less than $180 on
Monday
Enter an inequality that represents all possible values for
the clerk's sales, s, on Monday.
Answer:
0.1s + 125 < 180
Starting at its rightmost position, it takes 2 seconds for the pendulum of a grandfather clock to swing a horizontal distance of 18 inches from right to left and 2 seconds for the pendulum to swing back from left to right. which of the following equations models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds? assume that right of center is a positive distance and left of center is a negative distance. d = 9 cosine (startfraction pi over 4 endfraction t) d = 9 cosine (startfraction pi over 2 endfraction t) d = 18 cosine (startfraction pi over 4 endfraction t) d = 18 cosine (startfraction pi over 2 endfraction t)
The expression that models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds is d=9cosine[(π/2)t] option second is correct.
What is the frequency?It is defined as the number of waves that crosses a fixed point in one second, known as frequency. The unit of frequency is per second.
The pendulum takes 2 seconds to swing a horizontal distance of 18 inches from right to left.
For swing back from left to right, it takes again 2 seconds to cover a horizontal distance of 18 inches.
The total time to complete the one cycle = 4 seconds
Thus, the frequency is the reciprocal of the time
f = 1/4
The expression for the angular speed is:
w = 2πf
w = 2π(1/4)
w = π/2
The distance of the pendulum from the center A = half the horizontal
distance of 18 inches
A = 18/2
A = 9 inches
We know the cosine function for the pendulum is given by:
d = Acosine(wt)
d = 9cosine(πt/2) or
d = 9cosine[(π/2)t]
Thus, the expression that models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds is d = 9cosine[(π/2)t]
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What is the answer for 4/7x5/3x3/4= ?
Answer:
[tex]\frac{x^{2} }{21}[/tex]
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Eliminate quotient in numerator
3. Multiply the numbers
Solution: [tex]\frac{x^{2} }{21}[/tex]
Answer:
When we multiply 4\7, 5\3 and 3\4, then the answer will be 5\7.
Point JJ is located at (-4,5) on the coordinate plane. Point J is reflected over the x-axis to create point J′. What ordered pair describes the location of J'?
Answer: (-4, -5) in 3rd Quadrant
Step-by-step explanation: Reflection across x axis only flips the sign of y coordinate
19. Select all the measures that are equivalent to 10 meters.
0. 01 kilometer
B)
1000 millimeters
100 millimeters
0 1000 centimeters
0. 1 kilometer
100 centimeters
Help I don’t know!
Answer:
10 meters is equivalent to 1000 cm and 0.01 kilometers
Step-by-step explanation:
For what value of c does the following system not have a solution.
1/2x+1/5y=2
5x+2y=c
Answer:
The answer is 3. 1. There is '0' point of intersection, that means they do not intersect. This only possible when the lined are parallel to each other.
'c' can be any real number except 4 for which the considered system would have no solution.
When does a system of linear equation have no solution?When both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.
If they are coincident (lying over each other), then there will have infinite solution since in that case, they will have infinite points in common.
Thus, if two lines are not in any of above case, they intersect at single point and in that case, the considered system of equation has unique single solution.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
[tex]y = mx +c[/tex]
Parallel lines(non-coincident) have same slope but different y-intercept.
Converting these equations to slope-intercept form, we get:
For first line:
[tex]\dfrac{1}{2}x + \dfrac{1}{5}y = 2\\\\ \dfrac{1}{5}y = 2 - \dfrac{1}{2}x\\\\y = 10 - \dfrac{5}{2}x\\\\y = -\dfrac{5}{2}x + 2[/tex]
and
For second line:
[tex]5x + 2y = c\\\\y = \dfrac{1}{2}c - \dfrac{5}{2}x\\\\y = -\dfrac{5}{2}x + \dfrac{c}{2}[/tex]
For no-solution, we need both lines to stay parallel but not coincident so that there is no common point (solution of this system) between those two lines.
Thus, we get:
[tex]2 \neq \dfrac{c}{2}\\\\\text{Multiplying 2 on both the sides}\\\\c \neq 4[/tex]
Since 'y' assumes real numbers assumingly, so 'c' can be any real number except 4 for which the considered system would have no solution.
Below is image attached of those parallel lines when c = 10.
Thus, 'c' can be any real number except 4 for which the considered system would have no solution.
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The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
What is heptagon?A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
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Answer:
C. 124
Step-by-step explanation:
E2020
A right rectangular prism has a length of 6 centimeters a width of 2 centimeters and a height of 5 centimeters what is the surface area of the prism
it is 2 centimeters I hope that helps and I hope I'm not late
The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0
The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The sum of a number and its square is 42.
Let x be the number. Then the square of that number will be x².
Then we have
x + x² = 42
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Answer:
a
Step-by-step explanation:
I NEED HELP ASAP
if p=(-4 7) find ry-axis (p)
Answer:
4 , 7
Step-by-step explanation:
It worked in my app so... :)
Find the volume.
B1=36
B2= 24
Height=38
Length=20
Answer:
V= 22800 unit^3
Step-by-step explanation:
hope this helps :)
This list gives the height of different plants in inches.
10.25, 11.25, 11.00, 10.50, 10.50, 11.00, 10.75, 10.25, 11.00, 10.25, 10.50, 10.75, 10.25, 10.25, 10.50, 11.25, 11.00, 10.75
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
answer
their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and
Step-by-step explanation:
ok so you just need to put those on the line plot
A poll worker analyzing the ages of voters found that mu = 65 and sigma = 5. what is a possible voter age that would give her zx = 1.14? round your answer to the nearest whole number. 59 66 71 90
A poll worker analyzing the ages of voters found that μ = 65 and σ = 5. The possible voter age that would give her zx = 1.14 is 71.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of a population
N = number of observations of population
X = mean
μ = population mean
It is given that the random variable,
X = The ages of voters
μ = The analysis is having mean of 65
Standard deviation = 5
X = normal (65,5) Now, we will convert it into Z-score concept ,
Z = x - 65/ 5
z = 1.14
X = 65 + 5z
So, X = 65 + 5(1.14)
= 65 + 5.7
= 70.70
Therefore, We can also write it by rounding off the value,i.e.=71
The possible voter age that would give her zx = 1.14 is 71.
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Answer:
C, 71
Step-by-step explanation:
quiz edge
Please answer the following??????/
Answer:
I would be 3 8/10
Step-by-step explanation:
hope this helps
It costs a zoo $3 to feed the kookaburras for 4 hours. Write an equation relating the total cost y to the number of hours x.
Answer:
y=0.75x
Step-by-step explanation:
$3 for every 4 hours
$0.75 for every hour
y=0.75x
The equation relating the total cost (y) to the number of hours (x) is y = 0.75x.
The equation that relates the total cost (y) to the number of hours (x) can be derived from the given information. We know that the cost is $3 for 4 hours of feeding kookaburras.
The cost is proportional to the number of hours, and we can represent this relationship using a linear equation:
Cost = Rate × Hours
In this case, the rate is the cost per hour, which is $3 / 4 hours = $0.75 per hour.
Therefore, the equation relating the total cost (y) to the number of hours (x) is:
y = 0.75x
Here, "y" represents the total cost, and "x" represents the number of hours. This equation reflects the linear relationship between the total cost and the number of hours of feeding kookaburras in the zoo.
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Enter an expression that shows the sum of exactly two terms that is equivalent to 6m + 3n + 8m + 5n
Answer: 14m+8n
Step-by-step explanation:
Simplify the expression
6m+3n+8m+5n
6m+8m+3n+5n
14m+8n
It is the same expression except that it is simplified and contains only 2 terms
HELP! WILL GIVE BRAINLEST! Which statement is accurate for the right triangle shown below?
csc(α) = 0.94
cot(α) = 0.36
sec(α) = 1.06
sec(α) = 0.94
Answer:
3rd choice: sec(a) = 1.06
Step-by-step explanation:
sec(a) = (hypotenuse)/(adjacent leg)
The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06
What is the accurate statement?The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:
(hypotenuse)/(adjacent)
In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.
So, we have;
50/47 = 1.06
Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.
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List the integers that satisfy both these inequalities.
2x + 9 < 0
x > -12
Answer:
-5, -6, -7 ,-8, -9, -10, -11
Step-by-step explanation:
What is the equation of the line passing through the point (2,3) and perpendicular to the line y = 2x+7
Answer:
[tex]y =\dfrac{-1}{2}x +4[/tex]
Step-by-step explanation:
Equation of the line: y = mx +b
y = 2x + 7
m = 2
Slope of the perpendicular line = [tex]-\frac{1}{m}[/tex]
[tex]\sf m_1 =\dfrac{-1}{2}[/tex]
Equation of the perpendicular line:
[tex]y= \dfrac{-1}{2}x + b[/tex]
This line is passing throught (2 ,3). Substitute the x & y coordinate in the above equation and now we can obtain the value of b (y-intercept)
[tex]\sf 3 = \dfrac{-1}{2}*2+b\\\\3 = -1 + b\\[/tex]
3 + 1 = b
4 = b
Equation:
[tex]y =\dfrac{-1}{2}x +4[/tex]
4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction
Answer:
35
Step-by-step explanation:
4+1/3 ÷5=1/6
4+5/3=1/6
Multiply each side by the L.C.M which is 6
24+10+1
35