The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
According to the fundamental theorem of algebra.
The polynomial function has only exactly 6 roots.
The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.
If the degree of the variable is n then the number of the roots will be n or less than n.
If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.
Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.
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A price of a tablet is cut by 30% and the new cost is $210. How much did the tablet cost before the price was cut
Answer:
$273
Reason:
I believe this is right
4 divided by 5yards 1 foot
The circumference of a circular garden is 122.46 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer. feet
The radius of the circular garden whose circumference is 122.46 feet is: 19.5 feet.
What is the Circumference of a Circle?Circumference = 2πr, where r is the radius of the circle.
Given the following:
Circumference = 122.46 feetRadius (r) = ?π = 3.14122.46 = 2(3.14)(r)
122.46/2(3.14) = r
r = 19.5 feet.
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PLEASE I NEED HELP ASAP!!!!!!!!
Note: please add the answer next to the number its from so I can know which question was answered
Answer:
B, B
Step-by-step explanation:
< less than
> Greater Than
If it has a line under it it is equal too as well as greater or less.
The close dot means equal too and the open mean not equal to
John writes 2 1/3 pages in an hour. Going at the same speed, how many pages he can write in 5 1/7 hours?
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - John writes [tex]\underline{\: 2\frac{1}{3}}\\[/tex]pages in an hourTo find - number of pages he can write in [tex]\underline{5\frac{1}{7}}\\[/tex]hoursthis question can be easily solved by using unitary method ~
[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]
hope helpful ~
Assume that 48% of the voters in New York favor a certain legislative proposal. De- termine how many voters in New York need to be sampled so that the magnitude of the difference between the observed relative frequency of those favoring the proposal and the population frequency does not exceed 0.01 with probability 0.99.
The number of the voters in the Newyork need to be sampled will be P=19,782.
What is Probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
It is given in the question that:-
Voters percentage=48%
Margin of error=0.01
Z value at 0.99 = 2.58
By using the formula:-
[tex]\rm M=z\sqrt{\dfrac{\pi(1-\pi)}{n}[/tex]
By putting the values:-
[tex]0.01=2.58\sqrt{\dfrac{0.48(1-0.48)}{n}[/tex]
[tex]\sqrt{n}=\dfrac{1.40}{0.01}[/tex]
[tex]n=19784[/tex]
Hence the number of the voters in the Newyork need to be sampled will be P=19,782.
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13 - 6(2 − 6)² +8 evaluate
Step-by-step explanation:
______________________13 - 6 ( 2 - 6 )² + 8
= Solution
= 13 - 6 (- 4 ) ² + 8
Now...remove the negative number...because negative number raise to even powers are positive...
= 13 - 6 × 4² + 8
= 13 - 96 + 8
= 13 + 8 - 96
= 21 - 96
= - 75
Hence the answer is - 75....
[tex]..[/tex]
______________________2. What is the measure of angle A?
Answer:
the answer is 63 degrees
Step-by-step explanation:
Write an equation in slope-intercept form for the relationship in the table.
The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.
What is the Slope-intercept Form?The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:
m = slope = change in y / change in xb = y-intercept.Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5
Slope (m) = 1
Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):
y - 42 = 1(x - 37)
y - 42 = x - 37
y = x - 37 + 42
y = x + 5
Equation for the relationship in the table is: y = x + 5
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Please help! I need the right answer : (
A cone with the height h radius r has volume v=1/3 m2h. if the cone has a height of 6 in. And volume of v=8♊︎(pie)x+24m♊︎(pie), what is the radius r in terms of x? A. r=3x+2. B. r=4x^2+12x+9. C. r=2x+3 D. r= (2x+3) (2x-3)
Answer:9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
_____
Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
Step-by-step explanation:
PLEASE HURRY
no links please
Stef rolls two six-sided number cubes. What is the probability that she rolls a 1 on
the first cube and a number greater than 1 on the second cube?
Use the diagram of
the sample space to help you.
A. 3/36 = 1/2
B. 5/36
C. 6/36 = 1/6
D. 1/36
please get this right because i might failll :(
Answer:
The answer is 5/36.
Step-by-step explanation:
Test approved.
The probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube is 5/36.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
Given that Stef rolls two six-sided number cubes.
Based on the diagram of the sample space.
Therefore, the probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube
= 5/36.
Hencce, the correct option is B.
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use the information provided to write the equation of each circle. center: (3, -15) radius: 3
Equation of circle in general
(x-h)²+(y-k)²=r²For centre at (h,k)
So our equation is
(x-3)²+(y+15)²=3²(x-3)²+(y+15)²=947/6m+n- 7/2m-6/5n
Simplify
Answer:
[tex]\frac{13m}{3}-\frac{n}{5}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{47}{6}m[/tex] to [tex]\frac{47m}{6}[/tex]
[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]
2) Simplify [tex]\frac{7}{2}m[/tex] to [tex]\frac{7m}{2}[/tex]
[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]
3) Simplify [tex]\frac{6}{5}n[/tex] to[tex]\frac{6n}{5}[/tex]
[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]
4) Collect like terms.
[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]
5) Simplify.
[tex]\frac{13m}{3}-\frac{n}{5}[/tex]
5. A rectangle whose length and width are 10 and 6, respectively, is shown below. The rectangle is continuously
rotated around a straight line to form an object whose volume is 150.
6
10
hich line could the rectangle be rotated around?
A. a long side
B. a short side
C. the vertical line of symmetry
D. the horizontal line of symmetry
TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.
Vertical line of symmetryAnalysis
Volume=Base area×height
If the rectangle rotated around horizontal line of symmetry
V1=Ah=πr²h
=π×9×10
=90π
If the rectangle rotated around short line
V2=Ah=πr²h
=π×10²×6
=π×100×6
=600π
If the rectangle rotated around vertical line of symmetry
V3=Ah=πr²h
=π×5²×6
=π×25×6
=150π
Therefore the correct option is C.
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i need help with this question
Answer:
Simulation --> An imitation
Sample --> The part of a population
Biased sample --> A sample that is not
Population --> A group
Answer correctly for branliest!
Consider the line y=-2/3x+9 . Find the equation of the line that is parallel to this line and passes through the point (-8,3) . Find the equation of the line that is perpendicular to this line and passes through the point (-8,3) .
The equation of line which is parallel to line is y = (-2x-7)/3.
What is Gradient?
Gradient is the ratio between change in y-axis to change in x-axis.
Here, Given Equation of line is y = [tex]\frac{-2}{3}x+9[/tex]
gradient of line m₁ = -2/3
Equation of line passing through point (-8, 3) and gradient -2/3 (parallel to given line) is
(y - y₁) = m₂(x - x₁)
( y - 3) = -2/3(x+8)
3y - 9 = -2x -16
3y = -2x -16 + 9
3y = -2x -7
y = (-2x-7)/3
Thus, the equation of line which is parallel to line is y = (-2x-7)/3
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The ratio of cats to dogs at the veterinarian is 21:39. What percent of the total animals are cats?
Answer:
35%
Step-by-step explanation:
Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:
21/60 = 0.35
0.35 x 100 = 35%
Hope this helps!!
Answer:
35%.
Step-by-step explanation:
Fraction that are cats = 21 / (21+39)
= 21/60
= 100 * 21/60
= 35%.
3 years ago, the residents of Planet X found a black hole leading to another galaxy. Since then, they have been leaving Planet X at a rate of 120 residents per year.
The following equation describes this situation:
\quad -120\cdot 3 = -360−120⋅3=−360minus, 120, dot, 3, equals, minus, 360
What does -360−360minus, 360 tell us?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
A total of 360360360 residents left Planet XXX in the past three years.
(Choice B)
B
360360360 residents left Planet XXX each year.
(Choice C)
C
None of the above
Answer:
A total of 360 residents left Planet X in the past 3 years.
Step-by-step explanation:
120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.
Answers
A total of 360 residents left Planet X in the past 3 years.
Step-by-step explanation:
120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.A total of 360 residents left Planet X in the past 3 years.
Mitch walks 30 meters in 20 seconds. How many meters does Mitch walk per second?
Answer:
1.5 meters per second
Step-by-step explanation:
30 ÷ 20 = 1.5
Samuel worked 1/4 of a day on Tuesday and 3/8 of a day on Wednesday. Which
of these represents the fraction of a day he spent working on both days?
Rewrite 1/4 to have 8 as the denominator: 1/4 = 2/8
Now add the two days together:
2/8 + 3/8 = 5/8
Answer: 5/8
Write a slope-intercept equation for a line that passes through (-2,3) and (2,-5)
The slope of the given line is m
(Simplify your answer. Type an integer or a simplified fraction.)
Answer:
y - 3 = -2 * (x+2)
Step-by-step explanation:
5) Mary is taking a swimming lesson on a rectangular pool which is 9 meters wide and 12 meters long. Find the area of the swimming pool.
a. What is asked?
b. What are given?
c. What is/are the operation/s to be used?
d. What is the number sentence?
e. What is the answer?
Select ALL the expressions that have a value of 2² – 3³ + 29.
1. (78 ÷ 3) – 24
2. 83 – 14 × 62 – 2
3. –|–6|
4. |–6|
5. 72 – 3.1 – 19 × 2.1
There is no expression that is the same as the value of 2² – 3³ + 29 which is = 2.
Simplification of the given expressionTo simplify the expression 2² – 3³ + 29. is as follows:
2² – 3³ + 29 = 4- 9+29
= 29 -5
= 24
(78 ÷ 3) – 24. To simplify is = 78/3=26-24 = 2 (false)83 – 14 × 62 – 2. To simplify is = 69- 60 = 9 (false)–|–6|. To simplify is -(-6) = +6( false)-6( false)72 – 3.1 – 19 × 2.1: To simplify is = 49.9×2.1 = 104.79 (false)Therefore, there is no expression that is the same as the value of 2² – 3³ + 29. which is 2.
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T
yler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. Which type of inference test should Tyler use?
The appropriate test is the chi-squared test for association/independence.
What is an inference test?A statistical inference involves hypothesis testing about a population using a sample.
In this case, Tyler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. The appropriate test is the chi-squared test for association/independence.
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Answer:
chi-squared test
Step-by-step explanation:
Got it right on the test.
Stephanie is helping a midwife weigh new-born babies. The scales are in pounds but the sheet she has to complete is in kilogrammes. The baby weighs 8.06 lbs. When she converts this on a calculator the display reads 3.65595152. What is this in kilogrammes to 3 decimal places?
The weight of baby in kg is, 3.659 kg.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The baby weighs 8.06 lbs.
Now, We know that;
⇒ 1 pound = 0.454 kg
Hence, The weight of baby in kg is,
⇒ 8.06 pounds = 8.06 × 0.454 kg
= 3.659 kg
Thus, The weight of baby in kg is, 3.659 kg.
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Help. Please and thanks.
Answer:
D
Step-by-step explanation:
the other 3 options are all true.
the sum of all angles in a triangle is always 180°.
so, when T is 40°, that leaves 180-40 = 140° to the other 2 angles. in an isoceles triangle they must be equal to each other, so they are half of the remaining 140°, which is 70°.
and of course the 2 sides are equal (hence "isoceles").
a) Let A x B = {(1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6)} then, find A, B, n(A), n(B)
Step-by-step explanation:
A={1,2,3}
B={5,6}
n(a)=3
n(b)=2
A shirt on sale for 25%off. Sandy paid 7.50 for the shirt. What was the shirts regular price
£10
Step-by-step explanation:
firstly what you have to do is
since the percentage is decreased
we will say 100 - 25% = 75%
then we say 7.50/75% = 10
So we know that the original price was
£10 pounds
As 10- 25%= 7.5
The shirt's regular price is 10.
Given,
A shirt on sale for 25%off.
Sandy paid 7.50 for the shirt.
We need to find the regular price.
The regular price is the same as the selling price.
We have,
Regular price = Paid price + offer discount%
offer discount = 25%
Paid price = 7.50
If after 25% off Sandy paid 7.50 which means Sandy paid only 75% of the price.
The regular price is always 100%
= Paid price + offer discount%
= 75% + 25%
So we have,
75% = 7.5
Multiplying 25/75 on both sides.
25/75 x 75% = 7.5 x 25/75
25% = 2.5
We see that the offer discount is 2.5.
We have,
Regular price = Paid price + offer discount%
= 7.50 + 2.5
= 10
Thus the shirt's regular price is 10.
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answer for branliest!
Answer: 19.62 * 10^7 cm
Step-by-step explanation:
Let a and b be rectangle sides.Area = a * bPerimeter = a + b + a + b = (a + b) * 2a = 9.2 * 10^7 cm
Area = 5.612 * 10^14 cm^2
Find: Perimeter - ?
Area = a * bb = Area / ab = (5.612 * 10^14) / (9.2 * 10^7) = 0.61 * 10^7 cm
Perimeter = (a + b)*2Perimeter = (9.2 * 10^7 + 0.61 * 10^7) * 2 = (9.2 + 0.61) * 10^7 * 2 = 9.81 * 2 * 10^7 = 19.62 * 10^7 cm