Answer:
A. 7
Step-by-step explanation:
No.of unique roots are possible in a seventh-degree polynomial is 7
State fundamental theorem of AlgebraA polynomial of degree n can have at most n real roots. The Degree of Polynomial with one variable is largest power of that variable.For example, 3x^2+4x+2 = 0 have two roots since the equation degree 2.A real number p is a zero of a polynomial f(x),f(p) = 0.
Since seventh degree polynomial has degree 7, number of roots in a seventh-degree polynomial is 7.
Therefore, the number of unique roots are possible in a seventh-degree polynomial is 7.
Learn more about fundamental theorem of Algebra here:
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what property is this 4(2x−3)=4(2x)−4(3)
Answer:
this is 4(2x−3)=4(2x)−4(3)distributive property
Answer:
The Distributive Property
Step-by-step explanation:
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b + c) = ab + ac. The division property of inequality states that two unequal values divided by a positive number retain the same relationship.
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-Aadi
What is the mean of the data set that is represented by this data plot?
Answer:
90
Step-by-step explanation:
[tex]\huge\blue{90}[/tex]
90 is the mean of the data set that is represented by this data plotwhat is the mean,median,mode and range or the data set 4, 7, 3, 7, 7, 12,
Answer:
the mean is6.7 the mode is 7 and the range is 9
Step-by-step explanation:
Answer the following questions
Answer:
Question 1 : -8/3
Question 2 : 7.62 or unrounded 7.615773106.
Step-by-step explanation:
Question 1:
( 2 , 4 ) ( 5 , -4)
^ ^ ^ ^
x1 y1 x2 y2
Equation : y2 -y1 / x2 - x1
-4-4/5-2 = -8/3
Question 2 :
Equation : a^2 + b^2 = c^2
3^2 + 7^2 = c^2
3^2 = 9
7^2 = 49
9 + 49 = 58
Square root of 58 = 7.615773106.
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Answer:
12
Step-by-step explanation:
a² + b² = c²
a² + 9² = 15²
a² + 81 = 225
a² = 225 - 81
a² = 144
[tex]\sqrt{a^2} =\sqrt{144}[/tex]
a = 12
Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters
Answer:
i
Step-by-step explanation:
dont know
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 60 m, find its length and width.
Answer:
120 m
Step-by-step explanation:
.
Answer:
length = 20m
width = 10m
Step-by-step explanation:
perimeter = 2 (length + width)
length = 2 * width = 2w
perimeter = 2 (2w +w)
perimeter = 2(3w)
60m = 6w
(divide both sides by 6)
60/6 = w
width = 10m
length = 2w
so length = 2 * 10 = 20m
The students at Fitzgerald High School are building the shape below to put on their school. What is t total area of the shape in square units? 4 units 1 unit 10 units 1 unit 3 units 1 unit
Answer:
Someone would need to see the units and the picture that would be attached to this question.
Step-by-step explanation:
A function where the independent variable is an exponent. f(x) = ab^x, where a and b are real numbers with a # 0, b>0, and b # 1
A: exponential growth
B: exponential decay
C: exponential function
Answer:
C
Step-by-step explanation:
C, the answer is exponential function
The factorisation of y2-7y+12 is
+100points and brainliest
Use what you learned to show where the following points would
be after the given reflections:
PRE-IMAGE
REFLECTION
OVER X-AXIS
REFELCTION
OVER Y-AXIS
A(6,8)
B(-5,1)
C(10,-9)
D(-4,-11)
E(7,12)
PLEASE HELP ME THIS IS DUE TONIGHT!!!!
Answer:
ok try it now.
Step-by-step explanation:
PLEASE HELP ASAP DONT USE A LINK THOSE NEVER WORK I HAVE A TIME LIMIT
Answer:
107 degrees
Step-by-step explanation:
First, subract 180 from 135 to get the angle for DFE, which is 45 degrees.
Then, add 45 to 28, which equals to 73 degrees.
Finally, subtract 180 from 73 to get the angle for DEF, which is 107 degrees.
Answer:
107
Step-by-step explanation:
The short side of a parallelogram is 6in long.
the long side is 19 in. What is the perimeter
of the parallelogram?
Answer:
20
Step-by-step explanation:
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take
Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]
[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]
If 2 inches is about 5.08 centimeters, about how many inches is 32 centimeters? Round your answer to the nearest hundredth if necessary.
Answer:
12.60 inches
Step-by-step explanation:
Divide 5.08 by 2 to get 2.54. This means that for every 1 inch, there is 2.54 centimeter. Using this rule, we divide 32 by 2.54 to get 12.598 inches, or 12.60 if we round to the nearest hundredth.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: x=2, y=5
Explanation in image below
Step-by-step explanation:
if k is the center of the circle which line segment is the radius
Suppose that 0 is an angle in standard position whose terminal side effects intersects the unit circle at (-15/17, 8/17)Find The exalta valeis Tan sec and cos
Step-by-step explanation:
cosθ = 15/17 and sinθ = -8/17
So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8
What’s the least common factor of two and six
Answer:
6
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6
Explanation: least common multiple
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
What is 10 rounded to the nearest whole number?
a. 2244
b. 3205
c. 3846
d. none of the above
Answer:
d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
10 is already a whole number and does not need to be rounded
Find the approximate length of the bolded arc.
Answer:
Step-by-step explanation:
The diameter of a circle is 38 meters. What is the circle's area?
D=38m
Answer:
Diameter- 60.42^2
What is the missing number?
Answer:
Missing number is 8
Step-by-step explanation:
Let O be a quadrant I angle with cos(0) ✓11/7 Find sin(20).
Answer:
[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]
Where θ is in QI.
And we want to determine sin(2θ).
First, note that since θ is in QI, all trig ratios will be positive.
Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.
Then by the Pythagorean Theorem, the opposite side to θ is:
[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]
So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.
We can rewrite as expression as:
[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]
Using the above information, substitute. Remember that all ratios will be positive:
[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]
Simplify. Therefore:
[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.19 kgf/cm2 for the modified mortar (m = 42) and y = 16.87 kgf/cm2 for the unmodified mortar (n = 32). Let m1 and m2 be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal.
(a) Assuming that ?1 = 1.6 and ?2 = 1.3, testH0: m1 ? m2 = 0versus Ha: m1 ? m2 > 0 at level 0.01.State the rejection region(s). (If the critical region is one-sided, enter NONE for the unused region. Round your answers to two decimal places.)
z ?
z ?
Compute the test statistic value. (Round your answer to two decimal places.)
z =
State the conclusion in the problem context.
Reject H0. The data does not suggest that the difference in average tension bond strengths exceeds 0.
Fail to reject H0. The data does not suggest that the difference in average tension bond strengths exceeds from 0.
Fail to reject H0. The data suggests that the difference in average tension bond strengths exceeds 0.
Reject H0. The data suggests that the difference in average tension bond strengths exceeds 0.
(b) Compute the probability of a type II error for the test of part (a) when m1 ? m2 = 1.(Round your answer to four decimal places.)
(c) Suppose the investigator decided to use a level 0.05 test and wished ? = 0.10 when m1 ? m2 = 1. If m = 42, what value of n is necessary? (Round your answer up to the nearest whole number.)
n =
(d) How would the analysis and conclusion of part (a) change if ?1 and ?2 were unknown but s1 = 1.6 and s2 = 1.3?
Since n = 32 is not a large sample, it would no longer be appropriate to use the large sample test. A small sample t procedure should be used, and the appropriate conclusion would follow.
Since n = 32 is a large sample, it would be more appropriate to use the t procedure. The appropriate conclusion would follow. Since n = 32 is a large sample, it would no longer be appropriate to use the large sample test. Any other test can be used, and the conclusions would stay the same.
Since n = 32 is not a large sample, it still be appropriate to use the large sample test. The analysis and conclusions would stay the same.
Which is the better deal? *
5 gallons of gas for $15.70
11 gallons of gas for $42.00
Answer:
5 gallons of gas for 15.70
Step-by-step explanation:
15.70 divided by 5 is 3.14 while 42 divided by 11 is 3.8
A family spends 20% of its income on mortgage repayments of RM 800 per month, Calculate the monthly income of the family.
Answer:
monthly income of 4,000
Step-by-step explanation:
monthly income=m
.20m=800
m=4,000
y=(x+1)^2+2
plot five points
Answer:
(−3,6)
(−2,3)
(−1.2)
(0,3)
(1,6)
Step-by-step explanation:
Please help meeeeeeeee
Answer:
Step-by-step explanation:
Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?
Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.