The value of a polynomial function with the given zeros would be,
⇒ f (x) = x (x + 7) (x + 6)³
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Functions have zeroes 0, - 6, - 7 with multiplicity 1, 3, 1
Hence, We can formulate;
The value of a polynomial function with the given zeros would be,
⇒ f (x) = (x - 0)¹ (x - (- 6))³ (x - (- 7))¹
⇒ f (x) = x (x + 6)³ (x + 7)
⇒ f (x) = x (x + 7) (x + 6)³
Thus, The value of a polynomial function with the given zeros would be,
⇒ f (x) = x (x + 7) (x + 6)³
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An airplane company flies 39 airplanes daily. The CEO collects the following passenger counts for a random sample of airplanes from the fleet, as shown below. 123, 132, 158, 77, 158, 123, 132, 123, 158, 77 Assuming that the sample is representative of the entire fleet of airplanes, what would be the mean daily passenger count per plane?
Answer:
To find the mean daily passenger count per plane, we need to calculate the average of the passenger counts for the sample.
We can do this by adding up all the passenger counts and dividing by the number of planes in the sample:
(123 + 132 + 158 + 77 + 158 + 123 + 132 + 123 + 158 + 77) / 10
= 1259 / 10
= 125.9
Therefore, the mean daily passenger count per plane is approximately 125.9 passengers.
Step-by-step explanation:
Given X = [b a / 4 a] , Y = [c d / a b] , and Z= [a c / 16 b]
What is Y if X-2Y=Z?
[2 -4/ -6 -2]
[4 -8/ -12 -4]
[-4 8/ 12 4]
[12 0/ 12 -12]
Answer:
[2 -4/ -6 -2]
Step-by-step explanation:
To solve for Y, we need to rearrange the equation X-2Y=Z to isolate Y.
X - 2Y = Z
2Y = X - Z
Y = (X - Z)/2
Now we substitute the given matrices for X and Z, and solve for Y:
X =
[b a
4 a]
Z =
[a c
16 b]
X - Z =
[b-a a-c
-12 a-b]
Y = (X - Z)/2 =
[(b-a)/2 (a-c)/2
-6 (a-b)/2]
So the answer is Y = [ (b-a)/2, (a-c)/2 / -6, (a-b)/2 ].
Therefore, the answer is (a) [2 -4/ -6 -2].
The calculated value of the matrix Y is [tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]
Calculating the matrix YFrom the question, we have the following parameters that can be used in our computation:
The matrix definitions
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as
[tex]Y = \left[\begin{array}{cc}c&d\\b&a&\end{array}\right][/tex]
So, we have
[tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]
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A wallet contains 34 notes, all of which are either $5 or $10 notes. If it amounts to $235, how many $10 notes are there?
Answer:
For this question, you can use the simultaneous equation to solve this problem.
Equation 1 reads: x + y = 34. (There are 34 notes in total.)
Equation 2: 5x + 10y = 235 (The notes are worth a total of $235.)
To find x in terms of y, we can apply equation 1:
x = 34 - y
When we use this expression to replace x in equation 2, we obtain:
5(34 - y) + 10y = 235
By condensing and figuring out y, we get at:
y = 15
There are 15 $10 bills in the wallet as a result.
Find the indicated vector
Answer:
(d) 5i -j
Step-by-step explanation:
You want the value of the expression 2u -v where u=3i and v=i+j.
SubstitutionUse the given definitions of u and v, and simplify in the usual way.
2u -v = 2(3i) -(i+j)
= 6i -i -j . . . . . . . . . eliminate parentheses
= 5i -j
__
Additional comment
The unit vectors i and j can be treated as though they were variables. The usual properties of equality and (scalar) arithmetic apply.
Which of the following is a statistical question that can result in numerical data?
A- How many miles do you travel to get to school each week?
B-How many hours do the students in your class study each week?
C- Who is the doctor at Pediatric Specialists?
D- How many cars do your grandparents have?
Answer: D
Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?
What is a statistical question?
A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.
Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering
class must have a greater mean IQ score than that of entering classes from previous years. The
administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score
is 114, with a standard deviation of 15. The college records indicate that the mean IQ score for entering
students from previous years is 113.
Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ,
of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's
entering class are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
(If Rococcan consult a list of
Answer: The answer is B and im 100% correct
Step-by-step explanation:
SOMEONE PLEASE HELP
The number of chips of different colors in Gail's bag is shown below
-2 blue chips
-4 pink chips
-8 white chips
Gail takes out a chip from the bag randomly without looking, She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?
Answer:
8 over 15 multiplied by 7 over 14 is equal to 56 over 210
8 over 15 plus 7 over 14 is equal to 217 over 210
8 over 15 plus 8 over 15 is equal to 16 over 15
8 over 15 multiplied by 8 over 15 is equal to 64 over 225
She's taking it out and then she replaces it
and so that means the denominator would stay 15 both times
and since it's a white chip in both draws, it would be 8/15 * 8/15
a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answer:
10 dollars
Step-by-step explanation:
5 + 5
Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists
Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.
Therefore option A is correct.
What is a college degree?The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.
With reference to the table, the occupations that do not require a college degree are:
Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicuristsWe were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.
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Need help solving this problem please help
The height of tree is given as follows:
40 ft.
How to obtain the height of the tree?The height of the tree is obtained applying the proportions in the context of this problem.
The proportions are applied as a rule of three can be formed between the heights and the shadows for both the tree and the person, as follows:
h/30 = 6/4.5
Applying cross multiplication, the value of h is obtained as follows:
4.5h = 30 x 6
4.5h = 180
h = 180/4.5
h = 40 ft.
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Simplify the expression: 8y + 4 - 3y + 12
HELPPP DUE TOMORROW
Answer: 1/2 cup oats 2/3 cup flower
Which function represents the graph of f(x) = -4 lxl after it is translated 3 units down?
A.g(x) = -4 lxl + 3
B. g(x) = -4 lxl - 3
C. g(x) = -4 lx + 3|
D. g(x) = -4 lx - 3l
Answer:
B
Step-by-step explanation:
When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.
We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.
Answer B.
What is the amount of your employer's contributions if the company matches 50% of the first 4% of your salary, and you make $72,000 a year?
O $1,440.00
O $1,000.00
O $2,880.00
O $36,000.00
Rewrite the following in the form log(c). log(5) + log(2)
Answer:
log(10)
Step-by-step explanation:
We can use the product property for logarithms:
log(a)+log(b)=log(ab)
In our case, a=5 and b=2. We can multiply a and b now to get the new number we're taking the logarithm of.
log(2)+log(5)=log(2×5)=log(10)
PLEASE HELP ME SOLVE THIS FOR BRAINILEST
Answer:
Point B and Point G are opposite rational numbers because they are the same distance away from 0
Step-by-step explanation:
-4/3 and 4/3 are almost the same number, except that -4/3 is a negative rational number, while 4/3 is a positive rational number
The answer essential relates to the absolute value (how far a number is away from 0; always a positive value
We can see that -4/3 and 4/3 are both the same distance away from 0 using the number line
-4/3:
-4/3 is -4/3 units to the left of 0. To get back to 0, you have to move 4/3 units to the right so it is 4/3 units away from 0, even though it's a negative number
4/3:
4/3 is 4/3 units to the right of 0. To get back to 0, you have to move 4/3 units to the left, but the value remains positive even though you're moving to the left. Thus, 4/3 is simply 4/3 units away from 0:
What are the coordinates of point c?
(-2.5, 0)
(0, -2.5)
(0, -3)
(-3, 0)
Answer:
0, -2.5
Step-by-step explanation:
First find the latitude coordinate (N-S)
=0
2nd find the longitude coordinate (W-E)
=-2.5
since it's between -3 and -2, we'll put a decimal 5 (.5)
Will give Brainliest and points.
A fair, 6-sided die is rolled 60 times. Predict how many times it will land on a number greater than 2.
60
40
20
two thirds
What is the area of this polygon?
Answer:
78
Step-by-step explanation:
(5+8)×12/2=78
(5+8)×12/2=78
a certain forest covers an area of 1700km^(2). Suppose that each year this area descreases by 7.5%. What will the area be after 11 years?
Answer: y= 1700 (1- .0325) ^15= 1700(.9675) ^15=1700(.60920660)= 1035.65 km Hope this helps!
Step-by-step explanation:To calculate the area of the forest after 5 years, we need to use the formula:
A = A0 * (1 - r/100)^t
PLEASE MARK BRAINLIST
The nominal exchange rate is 90 Pakistani rupees per dollar. The price of a shirt in Pakistan is 1800 rupees. The same shirt sells for $25 in the U.S. What is the real exchange rate? Can arbitragers make a profit? If yes, where would they buy and where would they sell?
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
We have,
The real exchange rate represents the relative price of goods and services between two countries.
It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.
To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.
1800 rupees / 90 rupees per dollar = $20
The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.
The real exchange rate (RER) is calculated as:
RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price
RER = (90 rupees per dollar * 1800 rupees) / $25
RER = 6480 / $25
RER = 259.2
The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.
Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.
The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.
In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.
This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.
Therefore,
The real exchange rate (RER) is 259.2.
Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.
They would make a profit of $5 per shirt.
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Después de analizar un conjunto de datos se encontró que la desviación estandar es igual a 9, se requiere conocer
ahora, el valor de la varianza
The variance of the data-set in this problem is given as follows:
81 units squared.
How to obtain the variance of the data-set?The standard deviation for the data-set in this problem is given as follows:
9 units.
The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.
Hence the variance of the data-set in this problem is given as follows:
(9 units)² = 81 units².
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Please anwser this is all the points I have :)
Check the picture below.
so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?
[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]
Answer: Large
Step-by-step explanation: Hope it helps Good luck!!!
NO LINKS!!! URGENT HELP PLEASE!!!!
Please assist me with these problems.
Answers in bold
7. Not congruent
8. Congruent by the HL theorem
HL = hypotenuse leg
==========================================
Explanation for problem 7
The tickmarks on segments MA and AT tell us that these segments are congruent. Another pair of congruent segments would be AE = AE by the reflexive property.
Then angle EMA = angle ETA because of the similar arc markings for those angles.
We have these congruence facts:
MA = AT (side)AE = AE (side)angle EMA = angle ETA (angle)But recall that the "side side angle" rule isn't a valid congruence theorem. Search out "SSA ambiguous case" for more information.
We cannot use SAS because the angle is not between the sides mentioned.
Therefore, we don't have enough information to determine if the triangles are congruent or not. We can't say they are congruent, so the only thing we can do is say "not congruent" until more info comes along.
------------
Explanation for problem 8
We use the HL (hypotenuse leg) theorem. It works for right triangles only.
The congruent legs are segment ON = segment ON because of the reflexive property.
The congruent hypotenuses are MN = RO because of the tickmarks.
In short, the triangles are congruent by the HL theorem.
full method please
-8+27÷(-3)-(-2)
The solution of the expression -8+27÷(-3)-(-2) is determined by applying the rule of BODMAS as -35.
What is the solution of the expression?
The solution of the expression is calculated by applying the following formula as shown below;
BODMAS;
B - stands for bracketO - stands for ofD - stands for divisionM - stands for multiplicationA - stands for AdditionS - stands for subtractionBased on the rule of BODMAS, we solve the bracket first, then division, before addition and subtraction.
-8+27÷(-3)-(-2) = -8+27÷ -1
-8+27÷ -1 = -8 - 27
-8 - 27 = - 35
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When an object is dropped vertically from a platform, its height after
seconds can be estimated with the formula shown.
ℎ=ℎ0−162
ℎ
is the height of the object in feet.
ℎ0
is the initial height of the object in feet.
is the time in seconds after the drop.
Which equation and solution tells how long it takes the object to reach a height of 96
feet if its initial height is 208
feet?
An equation and solution that tells how long it takes the object to reach a height of 96 feet if its initial height is 208 feet is:
D. 96 = 208 - 16t²
t = √7
How to determine the time when the object would reach a height of 96 feet?Based on the information provided, we can logically deduce that the height (h) in feet, of this object above the ground is related to time by the following quadratic function:
h(t) = h₀ - 16t²
When the initial height is 208 feet and final height is 96 feet, the height function becomes;
h(t) = h₀ - 16t²
96 = 208 - 16t²
16t² = 208 - 96
16t² = 112
t² = 112/16
Time, t = √7 seconds.
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Rectangle LMNP is similar to rectangle WXYZ.
The length of LM is 19 in, the area of rectangle LMNP is 140.6 in2, and the length of XY is 2.22 in.
What is the difference between the perimeters of the two rectangles?
A. 31.96 in
B. 36.96 in
C. 15.84 in
D. 41.96 in
The required, difference between the perimeters of the two rectangles is,
⇒ 46.03 in.
Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.
Then, We get:
k = XY / LM
k = 2.22 / 19
To find the value of k, we can divide 2.22 by 19:
k ≈ 0.117
Hence, The area of rectangle LMNP is given as,
140.6 in².
We can use this to find the length of NP:
LM x NP = area of LMNP
19 x NP = 140.6
NP ≈ 7.4 in
Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:
XY / YZ = LM / NP
2.22 / YZ = 19 / 7.4
YZ ≈ 1.167 in
Now we can calculate the perimeters of both rectangles:
Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in
Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in
Thus, The difference between the perimeters is:
52.8 - 6.77 = 46.03 in
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In a jar of lollies there are 6 more orange lollies than green ones and there is only one red lolly. If there are 47 lollies in the jar, how many orange ones are there?
Answer:
Let's use "g" to represent the number of green lollies in the jar.
According to the problem, there are 6 more orange lollies than green ones, so the number of orange lollies is "g + 6".
We also know that there is only one red lolly.
The total number of lollies in the jar is 47, so:
g + (g + 6) + 1 = 47
Simplifying the equation:
2g + 7 = 47
Subtracting 7 from both sides:
2g = 40
Dividing by 2:
g = 20
So there are 20 green lollies in the jar.
And since there are 6 more orange lollies than green ones, there must be:
g + 6 = 20 + 6 = 26 orange lollies in the jar.
Step-by-step explanation:
Find the value of x 30 degrees and 50 degrees
Answer: I think its 1500x
Step-by-step explanation: I multiplied them both.
Hope it helped :D
Answer:
1500000000000
Step-by-step explanation:
i don't know how but the answer is pretty easy but I don't feel like it so yeah there's
11 zero s
looking for answer and explination
1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98
Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.
for the above prompt , we have to use the formula:
l (x) = f(a) + f' (a) (x-a)
where (a) is the value fo the function at point a
and f' (a) is the derivative of the function evaluated at point a.
Using a = 1, f(a) becomes:
f(1) = 2 (1) ⁵ - 8 (1) + 5
f (1) =-1
f(x) = 10x⁴ -8
So f' (1 ) when evalutated will give us the slope of the tangent line at x =1
Thus,
f (1 ) = 10 (1)⁴ -8
= 2
Hence substituting all the values into th e linearization formula we get:
l(x) = f( 1) + f '(1) (x-1)
= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3
This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3
b) Given the l(x) above, f(1.01) gives us:
l(x) = 2x -3
= 2 (1.01) -3
= - 0.98
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