Answer:
100 daysStep-by-step explanation:
3 min loss ⇔ 5 days60 min loss ⇔ x daysCross multiply and solve for x:
3x = 5*603x = 300x = 300/3x = 100 daysWhich of the following is NOT a linear factor of the polynomial function?
f (x) = x^3 – 5x^2 - 4x + 20
F. (x + 5)
G. (x - 2)
H. (x - 5)
J. (x + 2)
Answer:
Among the four choices, [tex](x + 5)[/tex] is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let [tex]a[/tex] denote some constant. A linear factor of the form [tex](x - a)[/tex] is a factor of a polynomial [tex]f(x)[/tex] if and only if [tex]f(a) = 0[/tex] (that is: replacing all [tex]x[/tex] in the polynomial [tex]f(x) \![/tex] with the constant [tex]a\![/tex] would give this polynomial a value of [tex]0[/tex].)
For example, in the second linear factor [tex](x - 2)[/tex], the value of the constant is [tex]a = 2[/tex]. Verify that the value of [tex]f(2)[/tex] is indeed [tex]0[/tex]. (In other words, replacing all [tex]x[/tex] in the polynomial [tex]f(x) \![/tex] with the constant [tex]2[/tex] should give this polynomial a value of [tex]0\![/tex].)
[tex]\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}[/tex].
Hence, [tex](x - 2)[/tex] is indeed a linear factor of polynomial [tex]f(x)[/tex].
Similarly, it could be verified that [tex](x - 5)[/tex] and [tex](x + 2)[/tex] are also linear factors of this polynomial function.
Rewrite the first linear factor [tex](x + 5)[/tex] in the form [tex](x - a)[/tex] for some constant [tex]a[/tex]: [tex](x + 5) = (x - (-5))[/tex], where [tex]a = -5[/tex].
Calculate the value of [tex]f(5)[/tex].
[tex]\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}[/tex].
[tex]f(5) \ne 0[/tex] implies that [tex](x - (-5))[/tex] (which is equivalent to [tex](x + 5)[/tex]) isn't a linear factor of this polynomial function.
Solve for X:
3+X=9
16X= 32
54 - X + 2 = 78
Division:
9/3=
5⟌225
55 X 102 =
Answer: 1. 6
2. 2
3. -22
4. 3
5. 45
6. 5,610
Step-by-step explanation: #1: ok so for #1 we have to make this a subtraction problem by making the 9 as the first number and the 3 as the second but putting a minus symbol between them so we have to subtract 9 by 3 so 9-3=6 so 3+6=9 or X=6.
#2: ok so for #2 we have another inverse expression so instead of multiplication so we have to use division and make 32 the first number and 16 the second number and put a division symbol in between them so we have to divide 32 by 16 so 32 divided by 16=2 so 16(2)=32 also, the x next to 16 means multiplication so we have to put parentheses so we know its multiplication.
#3: this one is VERY confusing but what we have to do is add the 2 to 54 so 2+54=56 next we have to rearrange the numbers and had a negative symbol before the x and make 56 go to the second number and make the minus symbol a plus symbol so we made the expression -x+56=78 now we have to subtract 56 from both sides and so the expression is now -x+56-56=78-56 and now we subtract the numbers so now the expression is -x=78-56 and do it again so 78-56=22 so -x=22 and now we have to divide both sides of the expression so we have to make -x=22 -x/-1=22/-1 now we have to remove the symbols of the right side so the expression is now x=22/-1 and divide 22 by -1 so 22 divided by -1 is -22 so X=-22 or 54-(-22)+2=78.
#4: now for #4 we have to divide 9 by 3 so 9 divided by 3=3 or we can use multiplication by making 9 the answer and 3 the first number and solve so 3x(X)=9 so 3x3=9 so the answer is 9.
#5: now we have to divide 225 by 5 so we have to divide 22 by 5 and put our 4 on top op the 2 in the 10's column and multiply 4 by 5 which is 20 the subtract 22 by 20 so 22-20=2 and bring down the 5 making 25 and multiply 5 by 5 so 5x5=25 so now we have to subtract 25 by 25 which is 0 so the answer is 45.
#6: for this we have to multiply 55 by 102 so 55 times 102 is 5,610
When Felix started his paper route, he had 25 customers. Every second week he gained 2 new customers. Every third week he lost a customer. How many customers did he have in the seventh week?
Answer:
29
Step-by-step explanation:
srry took a sec
Answer:
Step-by-step explanation:
yes can you tell me the step by step explanation
The phenomenon of bottle flipping has hit the nation. You design a machine that can randomly flip a bottle. You observe 2180 random, independent flips, and 325 land the correct way. Estimate the overall proportion of bottles that land correctly when flipped randomly. Use a 98% confidence level. Round everything to 3 decimal places. a) State the parameter of interest. Verify that the necessary conditions are present in order to carry out the procedure.
Answer:
The variable of interest is the proportion of flips that land the correct way when flipped randomly.
The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.
The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).
Step-by-step explanation:
Variable of Interest:
Proportion of flips that land the correct way when flipped randomly.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Necessary conditions:
The necessary conditions are:
[tex]n\pi \geq 10[/tex]
[tex]n(1-\pi) \geq 10[/tex]
You observe 2180 random, independent flips, and 325 land the correct way.
This means that [tex]n = 2180, \pi = \frac{325}{2180} = 0.149[/tex]
Necessary conditions
[tex]n\pi = 2180*0.149 = 325 \geq 10[/tex]
[tex]n(1-\pi) = 2180*0.851 = 1855 \geq 10[/tex]
The necessary conditions [tex]n\pi \geq 10[/tex] and [tex]n(1-\pi) \geq 10[/tex] are present.
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 - 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.131[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.149 + 2.33\sqrt{\frac{0.149*0.851}{2180}} = 0.167[/tex]
The 98% confidence interval for the overall proportion of bottles that land correctly when flipped randomly is (0.131, 0.167).
Rita is reviewing her electricity bills for the past year. The monthly bills were: $92, $98, $90, $99, $96, $91, $89, $106, $95, $102, $96, $99.
Select the correct answer. Which measure should Rita use to find the average monthly bill for the year?
A. range
B. interquartile range
C. median
D. mean
Answer:
mean
Step-by-step explanation:
the mean is the average
Answer:
the correct answer is "mean"
Step-by-step explanation:
A salt shaker company produces salt shakers of various heights they create a table showing how many salt Greynolds each size salt shaker holt does the star represent a proportional relationship click on the correct response then answer the question below
Find 14 divided by 29. Input your answer as a reduced fraction.
Answer:
14/29. reduced form............
Answer:
14/29 . in reduced fractions0.482758620 in decimalWhat type of polynomial is this ? 3x2-8x+1
Answer:
Trinomial
degree of polynomial:2nd degree - Quadratic
Step-by-step explanation:
0.0000643 in standard form?
ANSWER: 0.0000643 x 10^0
cuantas horas son de 7am a 7pm
Hey everyone. I need the answer to this ASAP!: Michael knows that 2 cans of paint is the exact amount he needs to paint a 10-foot by 12-foot wall. Graph the relationship between the total square feet of the walls and the number of paint cans necessary to paint them. Show your work or explain how you got your graph in part A . There is a picture of the graph attached.
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]2 cans = 10ft\ by\ 12ft[/tex]
Required
Graph the relationship between both parameters
First, calculate the area;
[tex]Area = 10ft * 12ft[/tex]
[tex]Area = 120ft^2[/tex]
This implies that: (2, 120) i.e. 2 cans for 120ft^2.
So we have:
(0,0) and (2,120)
(0,0) implies that: 0 cans for 0 square feet
Calculate the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{120 - 0}{2-0}[/tex]
[tex]m = \frac{120 }{2}[/tex]
[tex]m = 60[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 60 * (x - 0) + 0[/tex]
[tex]y = 60 * (x )[/tex]
[tex]y = 60 x[/tex]
See attachment for graph
Answer:
Step-by-step explanation:
On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson distribution on the highway. a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Answer:
a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]
This probability is:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]
0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.
This is
[tex]P(X > 1) = 1 - P(X < 2)[/tex]
We have that [tex]P(X < 2) = 0.1992[/tex]
So
[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]
0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Can someone please find the areas of these shapes? I've been having a hard time with trying to figure them out.
Calculate the size of angle x.
Give your answer to 1 decimal place.
8 cm
11 cm
х
15 cm
Given:
Consider the below figure attaches with this question.
To find:
The size of angle x.
Solution:
Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Three sides of the triangle are 11 cm, 8 cm, 15 cm. Since 11 cm is the opposite side of the angle x, therefore [tex]a=11[/tex].
Let [tex]A=x,a=11,b=8,c=15[/tex]. Substitute these values in the above formula.
[tex]\cos x=\dfrac{8^2+15^2-11^2}{2(8)(15)}[/tex]
[tex]\cos x=\dfrac{64+225-121}{240}[/tex]
[tex]\cos x=\dfrac{168}{240}[/tex]
[tex]\cos x=0.7[/tex]
Taking cos inverse on both sides, we get
[tex]x=\cos^{-1} 0.7[/tex]
[tex]x=45.572996^\circ[/tex]
[tex]x\approx 45.6^\circ[/tex]
Therefore, the measure of angle x is 45.6°.
Laura had to write 6 pages for a book report. She figured that since it took her an hour to write one-seventh of a page, it will take her 42 hours to complete her book report. Is Laura correct?
Yes because 6x_____=42 hours
2The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood of this
number occurring on the next drawing?
(a) Very unlikely. It will almost certainly never happen.
(b) The same as any other four digit number.
(C) Very likely. The number is hot.
(d) Impossible.
(e) There is no way of knowing.
The correct answer is,
(a) Very unlikely. It will almost certainly never happen.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The winning number in a Pick 4 lottery was 1234 two days in a row.
Now,
Since, there is a 1 in 10,000 chance of drawing any particular four-digit number in a single drawing, there is very little chance that the same number will be picked twice in a row in a Pick 4 lottery.
Even less likely, at one in 100,000,000,000, is the same number being selected three times in a row.
So, (a) Very unlikely is the correct response. It's almost probably never going to happen.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Which rule describes the x-coordinates in the translation below?
Answer:
It's either x-6 or x+6 I wanna say that it is x-6 because they moved the shape down, but it could also have been moved up. I was assuming that the green one was the original, which would make the answer x-6.
Step-by-step explanation:
Answer:he is wiring the answer would be x+6 and the bike is the original because it does not have primes on the numbers
Step-by-step explanation:learn your mad bro
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80 feet. His back yard has a length of 20 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase? OA. 4,300 square feet OB. 4,600 square feet OC. 2,600 square feet OD. 4,150 square feet
Answer:
4,300 square feet
Step-by-step explanation:
First, calculate the area of Jayden's front yard.
50 feet × 80 feet = 4,000 square feet
Next, find the area of half of Jayden's back yard.
1/2(20 feet × 30 feet) = 300 square feet
Last, add the two areas together.
4,000 feet + 300 feet = 4,300 square feet
So, Jayden needs to purchase 4,300 square feet of sod
The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the rectangle?
Answer: B
Step-by-step explanation:
Answer
Step-by-step explanation:
Question 5 (5 points)
✓ Saved
(06.02 LC)
A scatter plot is shown:
Which graph best represents the line of best fit for this scatter plot? (5 points)
Answer:
I would say the answer is 2
Step-by-step explanation:
What is the slope of a line parallel to the line whose equation is 4x-y=-4
Answer:
-y= -4x -4
y= 4x +4
slope is 4
Step-by-step explanation:
A carpenter has a board that is 4 feet long. He wants to cut it into 3 equal pieces. How many inches long will each piece need to be?
Answer:
16 inches or 1 1/3 foot
Step-by-step explanation:
4 feet = 48 inched
48/3 = 16 inches
Please help I don’t understand
Find the lettered angles.
.
Colleen buys a movie for $32 and pays 9% sales tax. Her cousin, Brad, lives in another state. Brad buys the same movie for $38 and pays 7% sales tax. Who pays more sales tax? How much more?
HEEEELP!!!
Answer:
Colleen pays more sales tax. She pays $0.22 more sales tax than Brad.
Step-by-step explanation:
convert the percentage to a decimal and multiply by the amount paid to find sales tax
$32*0.09= $2.88
$38*0.07= $2.66
2.88-2.66= $0.22
hope this helps, crown if u can pls <3
A student received a coupon for 12% off the total purchase price at a clothing store. Let b be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
1. equivalent expression by combining like terms.
b-0.12b
Answer:
the equivalent expression is 0.88(x)
Step-by-step explanation:
Given that
There is 12% off on the total purchase price
Based on the above information
The expression that used the given terms i.e.
b - 0.12b
i.e.
1 - 0.12
= 0.88(x)
Hence, the equivalent expression is 0.88(x)
7m-6; m =8
I think the answer is 2 or 14 but I need confirmation tho .
Answer: 50
Step-by-step explanation:
(7*8) - 6
56 - 6 = 50
city workers recorded the number of squirrels in a park over a period of time. At the first count, there were
30 total squirrels. After 1 year, the city workers recorded a total of 60 squirrels, and after 2 years there were
120
a. Write a function that represents the population of squirrels recorded over x number of years,
b. Assuming the same growth rate and no squirrel dies, what will the squirrel population be in 6 years?
Justify your answer mathematically
Function:
A. x times 60 = the amount of squirrels in that year
Answer
B. 6 X 60 = 360
Step-by-step explanation
Years | Squirrels
______________
1 | 60
---------------------------
2 | 120
-------------------------
3 | 180
-------------------------
4 | 240
-------------------------
5 | 300
-----------------------
6 | 360
279+454546+21+968= solve answer
Answer:
455,814
Step-by-step explanation:
here you go have a good one
Answer: 279+454546+21+968= 455814
Step-by-step explanation:
add 279+21=300
Then add 968 to 300 witch 968+300= 1268
Lastly add 1268+454546=455814
Is the relation shown in the arrow diagram a function? Explain.
please help it’s for a test
Answer:
No, it is not a function because they should be going to their designed areas Hope this helped/.
Step-by-step explanation:
