Answers
Related Questions
What is the leading coefficient of a third degree polynomial function that has an output of 1,272 when x=2, and has zeros of −6, 7i, and −7i?
Answers
Answer:
The leading coefficient is 3
Step-by-step explanation:
Polynomials
Given the roots of a polynomial x1,x2,x3, it can be expressed as:
[tex]p(x)=a(x-x1)(x-x2)(x-x3)[/tex]
Where a is the leading coefficient.
We are given the roots x1=-6, x2=7i, x3=-7i, thus:
[tex]p(x)=a(x+6)(x-7i)(x+7i)[/tex]
Operating the product of the conjugated imaginary roots:
[tex]p(x)=a(x+6)(x^2+49)[/tex]
Knowing p(2)=1,272 we can find the value of a
[tex]p(2)=a(2+6)(4+49)=1,272[/tex]
Operating:
[tex]a(8)(53)=1,272[/tex]
[tex]424a=1,272[/tex]
Solving:
[tex]a=1,272/424[/tex]
a=3
The leading coefficient is 3
Answer:
3
Step-by-step explanation:
the remote areas away from the coast is
Answers
Answer:
Pole of Inaccessibility
-3/7 % -1/2 =??
What is the answer to this equation
Answers
Answer:
-0.21428571428
Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
many pages will Emilia have written in total? Assume the relationship is directly proportional.
Answers
Answer:
30 pages
Step-by-step explanation:
Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.
Find the unknown angle measure.
Answers
Answer:
x=22
Step-by-step explanation:
180-77=103
103+55=158
180-158=22
x=22
There are 100 students at a school and three dormitories A, B, and C with capacities of 25, 35, and 40, respectively.
Required:
a. How many ways are there to fill up the dormitories?
b. Suppose that, of the 100 students, 50 are men and 50 arewomen and that A is an all-men's dorm, B is an all-women's dorm andC is co-ed. How many ways are there to fill thedormitories?
Answers
Answer:
a
[tex]N = 7.0 *10^{44} \ Ways [/tex]
b
[tex]U = 2.85 *10^{26}\ ways [/tex]
Step-by-step explanation:
From the question we are told that
The number of students are n = 100
The number of dormitories is k = 3
The capacity of the first dormitory is A = 25
The capacity of the second dormitory is B = 35
The capacity of the third dormitory is c = 40
Generally the number of way to fill the dormitory up is mathematically represented as
[tex]N = \frac{n!}{A! B!C!}[/tex]
=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]
Here ! stands for factorial, so we will be making use of the factorial functionality in our calculators to evaluated the above equation
=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]
[tex]N = \frac{9.332622* 10^{157}}{[1.551121* 10^{25}]* [1.0333148* 10^{40}] * [8.1591528*10^{47}]}[/tex]
[tex]N = 7.0 *10^{44} \ Ways [/tex]
From the question we are told that there are 50 men and 50 women and
A is all-men's dorm and B is all-women's dorm while C is co-ed
So
When A is filled , the number of men that will be remaining to fill dorm C is 50-25 = 25
While when B is filled the number of women that will be remaining to fill dorm C is 50-35 = 15
Generally the number of ways there to fill the dormitories is equivalent to the number of ways of selecting the 25 men and 35 women to fill dormitory A and B plus one more way which is filling dorm C with the remaining students this is mathematically represented as
[tex]U = ^{50}C_{35} * ^{50}C_{25} + 1[/tex]
Here C stands for combination hence we will be making use of the combination functionality in our calculators
[tex]U = 2.250829575* ^{12} * 1.264106064 * 10^{14} + 1[/tex]
=> [tex]U = 2.85 *10^{26}\ ways [/tex]
Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y+5 = -0.7 (x-1)
Step-by-step explanation:
m = (change in y) / (change in x) = (2-(-5)) / (-9-1) = 7 / (-10) = -0.7
PLEASE HELP!!
Sorry for all the tabes I'm working on a presentation at the same time.
Answers
Answer:
0.5
Step-by-step explanation:
use rise over run, from (-6,0) to (0,3) it rises 3 and runs 6. 3/6 = 1/2.
Answer:
the slope is two
Step-by-step explanation:
rise over run
Sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60:36 by one-sixth. Is Sophia correct?
Answers
Answer:
Sophia is not correct
Step-by-step explanation:
The given situation represent the problem of a ratio and it is predicted to do the simplify the ratio by determining the smallest possible values
Here it can be presented 60:36 as a fraction i.e. [tex]\frac{60}{36}[/tex]
Now the fraction should be fall by dividing both the numerator and denominator by a common factor i.e. 6
Now after dividing it, the fraction would be [tex]\frac{10}{6}[/tex]
Now it can be further reduced by a common factor i.e. 2
So now the fraction is [tex]\frac{5}{2}[/tex]
Thus, the ratio is 5:2
Hence, she is not correct
an aquarium has display tanks that each contain 175 fish.how many fish are on display in 6 tanks
Answers
Answer:
1050 fish
Step-by-step explanation:
175(6 tanks) = 1050
There is a paper attached only 5 questions :)
Answers
Answer:
Question 1: 20,160 cookies
Question 2: 37,600 letters
Question 3: 252,396 squares on each tablecloth
Question 4: 138,762 points
Question 5: 4,652,352 shrimp
Step-by-step explanation:
Question 1: Multiply 315 and 64 to get amount of cookies
Question 2: Multiply 940 and 40 to get the number of letters
Question 3: Multiply 36 and 7,011
Question 4: Multiply 26 and 5,337 to get the number of points
Question 5: Multiply 96 and 48,462 to get the number of shrimp the chef prepared.
:)
Help me with this math problem because I’m too lazy to do it thank you if you do answer
Answers
Answer:
D. 30x + 120 ≤ 250
Step-by-step explanation:
Since we know that he bought one pair of shoes for $120 you would subtract 250-120=130 though you cant divide 130 into 30 so you would use ≤ so your answer is 30x + 120 ≤ 250
x= how many shirts he buys.
Help. (Math) The following construction was performed. What distance did the compass have to be set to sweep the two arcs through point T?
1. RP
2. QR
3. QT
4. QP
Answers
FIND THE UNIT RATE OF EACH SCENARIO.
TYPE YOUR ANSWER IN THE TEXT BOX BELOW.
0
2
Daxton is paid $48 in 6
hours. How much IS Daxton
Palld per hour?
Allison types 900 words in 20
Minutes. How many words
can she type per minutter
3
4
A Printing company can
print 15,000 flyers in 10
minutes. How many flyers
can be printed per minutes
Jeff traveled 300 miles and
Used 12 gallons Of gas. HOW
many mlies did he travel per
gaion Of gas?
Answers
2. Allison can type 45 words per minute.
3. 1,500 flyers can be printed per minute.
4. He traveled 45 miles per gallon of gas.
Explanation: You divide the two numbers that are being used in the word problem.
M is the midpoint of line segment PQ. MQ = 5x + 8 and PQ = 6x + 65, find x
Answers
Answer:
freeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
trump 20202020202020020202020
Ben solved a fraction division problem using the rule “multiply by the reciprocal.” Look at his work.
StartFraction 7 Over 20 EndFraction divided by two-fifths. StartFraction 20 Over 7 EndFraction times two-fifths = StartFraction 40 Over 35 EndFraction = StartFraction 8 Over 7 EndFraction = 1 and StartFraction 1 Over 7 EndFraction
Did he solve the problem correctly?
Yes. He solved the problem correctly.
No. He multiplied the dividend by the divisor.
No. He multiplied the denominators instead of finding a common denominator.
No. He multiplied with the reciprocal of the dividend instead of with the reciprocal of the divisor.
Answers
Answer:
(d) No. He multiplied with the reciprocal of the dividend instead of with the reciprocal of the divisor.
Step-by-step explanation:
The problem should have been written ...
[tex]\dfrac{7}{20}\div\dfrac{2}{5}=\dfrac{7}{20}\times\dfrac{5}{2}\qquad\text{the reciprocal of the divisor is used}[/tex]
Instead, Ben wrote it as ...
[tex]=\dfrac{20}{7}\times\dfrac{2}{5}\qquad\text{the reciprocal of the dividend is erroneously used}[/tex]
_____
Additional comment
Ben will get the reciprocal of the proper answer: 8/7 instead of the correct value of 7/8.
Answer:
D) No. He multiplied with the reciprocal of the dividend instead of with the reciprocal of the divisor.
Step-by-step explanation:
Multiply. Express your answer in simplest form. 9 1/6 × 1 1/11. A. 10 B. 9 1/66 C. 10 1/17 D. 10 5/6
Answers
Answer:
9 1/66
Step-by-step explanation:
9 x 1 is 9 so its that but to add more proof the problem is 9 1/6, 1 1/11 multiply 6 and 11 it is 66 so the answer is 9 1/66
find the number of terms in the arithmetic sequence
-7,-5.6,-4.2,-2.8,1.4,...,103.6
Answers
Answer:
80
Step-by-step explanation:
use the formula of arithmetic progression
Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.
Answers
Answer:
11/132 = 1/12
Step-by-step explanation:
just put the rise over the run and simplify
-18+-6 please help
Answers
Answer:
-24
Step-by-step explanation:
If you are struggling with this here's a tip!
-18+-6 is what you are trying to solve
The 6 is negative, so get rid of the plus sign -18-6
2 negative numbers are just added like positive numbers
So add 18 and 6, you should get 24
Don't forget about the negative!
-24
y/15- 2/3= 4/5
Whats the answer for y
Answers
In a certain chemical, the ratio of zinc to copper is 4 to 17 . A jar of the chemical contains 663 of copper. How many grams of zinc does it contain?
Answers
Answer:
The jar contains 156 grams of zinc
Step-by-step explanation:
Ratios
Let's call
Z=gr of zinc
C=gr of copper
We know the ratio between them in a certain chemical is:
[tex]\displaystyle \frac{Z}{C}=\frac{4}{17}[/tex]
The jar of the chemical contains C=663 gr of copper. Calculate the grams of zinc by solving the above relation for Z:
Multiplying by C:
[tex]\displaystyle Z=\frac{4}{17}\cdot C[/tex]
Substituting the value of C:
[tex]\displaystyle Z=\frac{4}{17}\cdot 663[/tex]
Z=156 gr
The jar contains 156 grams of zinc
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?
-5.9 feet
Negative 5 and three-fourthsfeet
-58 feet
Negative 5 and StartFraction 7 over 8 EndFractionfeet
Answers
Answer:
Negative 5 and 7 over 8
Step-by-step explanation:
Answer:
Negative 5 and StartFraction 7 over 8
Step-by-step explanation:
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost
$19.60. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?
Another 3 panes of glass cost $
Answers
Answer:
$8.85
Step-by-step explanation:
Step-by-step explanation: well if you take 23.60 and divide it by 8 you would get 2.95 times that by three and you would get 8.85 and there's your answer.
Answer:
7.35
because my kid got the question wrong
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
O $1.26
O $5.40
O $19.26
O $30.60
Answers
Answer:
1
Step-by-step explanation:
1.26
Each class was given 225 glue sticks there are 22 classes so how many do each class get
Answers
Answer: 10.2272727273
Step-by-step explanation:
Answer:
Each class = 225 glue sticks
22 classes = 225*25
= 5625 glue sticks
When holding your arms horizontal, your body is the line of reflection. true or false?
Answers
Answer:
true
Step-by-step explanation:
Your arms would be the line and your body would be the y-axis, and your arms are on either side of the y-axis which means your body is the line of reflection
Hope this helps.
Write an equation, in slope-intercept form,
for a line that passes through points (-4, 1)
and (2. 4).
Answers
Answer:
y = (3/2)x + 7
Step-by-step explanation:
(−4, 1) and (−2, 4)
slope m = rise/run = (4-1)/(-2-(-4)) = 3/2
Slope intercept form is y=mx+b
where m=slope, b = y-inercept
y = (3/2)x + b
Use one of the given points for (x,y) to find b
1 = (3/2)(-4) + b
1 = -6 + b
7 = b
y = (3/2)x + 7
On March 1, Dilbert Inc sells 2,000 units to Tundra Inc For $5/unit or a total of $10,000. Dilbert’s cost is $3/unit. Terms are 2/10, N/30. What is Dilbert’s journal entry to record their purchase?
Answers
Answer: See attachment
Step-by-step explanation:
The journal entry for Dilbert has-been prepared and attached. The journal entry shows the transaction that was done by Dilbert on a March 1st.
Check the attachment for the entry.
a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows that the sale of car is normally distributed with mean 50 and variance 9. The variance 9 was calculated from the weekly car sale data of 20 weeks, as the population variance is not known to the dealer. What is the probability that the dealer will sell 51 or more cars next week? (Hint: use t distribution) (15)
Answers
Answer:
0.45576
Step-by-step explanation:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Standard Deviation = √variance
Mean = 50
= √9
= 3
z = 51 - 50/3
= 0.11111
Probability value from Z-Table:
P(x<51) = 0.54424
P(x>51) = 1 - P(x<51)
= 1 - 0.54424
= 0.45576
The probability that the dealer will sell 51 or more cars is 0.45576