Answer:
B
Step-by-step explanation:
Since all of the x- coordinates are below -4
divide y⁴-2y³-7y²+8y+12 by (y-3) using long division method
please give answer
how to find greatest common factor with variables and exponents
Answer:
Factoring Expressions With Exponents - Video & Lesson ...
To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables
Pls give brainliest
The greatest common factor (GCF) with variables and exponents is found by identifying the highest power of each variable that appears in the given expressions and choosing the one with the highest power. If a variable or exponent is not common to all the terms, it is not included in the GCF.
When finding the greatest common factor (GCF) with variables and exponents, we need to consider the highest power of each variable that appears in the given expressions. To find the GCF, we identify the common factors and choose the one with the highest power. If a variable or exponent is not common to all the terms, it is not included in the GCF.
Let's consider an example to illustrate this:
Given expressions: 2x^3y^2 and 4x^2y^3
To find the GCF, we look at the variables and exponents:
The variable 'x' appears in both expressions with exponents 3 and 2. The highest power of 'x' is 2.The variable 'y' appears in both expressions with exponents 2 and 3. The highest power of 'y' is 2.Therefore, the GCF is 2xy^2, as it is the highest power common to both expressions.
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∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and arc CA = 170° , what is the measure of ∠ AEC?
A)120
B)240
C)70
D)100
So
mCA=170°And
mBD=70°Now
180-170=10°From mBD
70-10=60°Now
m<AEC
70+50=120°Option A
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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Help me plz AM SO STUPID AT MATH!!!!U WILL GET BRAINLIEST !
Answer:
91.98 (I was wrong the first time.)
Step-by-step explanation:
I looked up how to find the volume(Picture 1)
Length of cube: 7.3m
Height of cube: 6m
Width of cube: 2.1m
(Picture 2)
When you add them all up you get 91.98
Answer:
54.39
Step-by-step explanation:
33.6 + 20.79
54.39
In the diagram, what is the measure of WRS?V3.)(5x)" B(25x + 30)S
Angles TRS and TRV are supplementary, that is,
m∠TRS + m∠TRV = 180°
(25x + 30) + (5x) = 180
(25x + 5x) + 30 = 180
30x = 180 - 30
x = 150/30
x = 5
Angles TRV and WRS are vertical angles, then they are congruent, that is,
m∠TRV = m∠WRS
5x = m∠WRS
5*5 = m∠WRS
25° = m∠WRS
The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $33 million. Is the result close to the actual number of viewers, 3.03.0 million? Use a significance level of 0.05.
Answer:
y = 5.064 - 0.010x
Here, in this question x = 33
y = 4.734 million views
In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.
Step-by-step explanation:
First of all, this question is incomplete. It lacks the data needed to calculate the required things.
So, I figured out the question and I will try my best to solve the question at hand.
I have calculated the some data sheet in excel. Please refer to the attachment for that data.
let a be the salaries
b be the viewers
\(S_{aa}\) = ∑\(a^{2}\) - \(\frac{ Summtion a^{2} }{n}\)
\(S_{aa}\) = 7522.8571
\(S_{bb}\) = ∑\(b^{2}\) - \(\frac{ Summtion b^{2} }{n}\)
\(S_{bb}\) = 47.1943
\(S_{ab}\) = ∑\(ab^{}\) - \(\frac{ Summtion a x Summation b^{} }{n}\)
\(S_{ab}\) = -76.8286
Now the slope of the required regression equation is:
Slope = \(S_{ab}\)/\(S_{aa}\) = -76.8286/7522.8571 = -0.010
And the intercept of the required regression equation:
intercept = \(\frac{1}{n}\) x (∑b - slope x ∑a) = 5.064
So, the regression equation will be:
y = intercept + slope x
y = 5.064 - 0.010x
Here, in this question x = 33
y = 5.064 - 0.010 (33)
y = 4.734 million views
A sample of phosphorus-32 has a half-life of 14.28 days.
If 55 g of this radioisotope remain unchanged after approximately 57 days, what was the mass of the original sample?
:
Using the radioactive decay formula: A = Ao*2^(-t/h), where
A = resulting amt after t time
Ao = initial amt (t=0)
t = time
h = half-life of substance
The mass of the original sample of phosphorus-32 was approximately 717.7 grams.
To solve this problem, we can use the radioactive decay formula:
A = Ao * 2^(-t/h)
Where:
A = resulting amount after time t
Ao = initial amount (at t=0)
t = time
h = half-life of the substance
In this case, we are given that the half-life of phosphorus-32 is 14.28 days. We want to find the initial mass, represented by Ao.
After approximately 57 days, 55 g of phosphorus-32 remain unchanged. Let's plug these values into the equation:
55 = Ao * 2^(-57/14.28)
To solve for Ao, we can isolate it by dividing both sides of the equation by 2^(-57/14.28):
55 / 2^(-57/14.28) = Ao
Using a calculator to evaluate 2^(-57/14.28), we find that it is approximately 0.07666.
Therefore, the initial mass, Ao, is:
Ao = 55 / 0.07666 ≈ 717.7 g
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I don't understand this question
The monthly payment on the $5,000 loan on a 10% interest rate compounded monthly for 10 years is about $66
What is a loan?A loan is an amount borrowed, which is to be repaid or paid back usually with an interest.
The details of the loan are;
Loan principal amount, P = $5,000
The interest rate on the loan = 10%
The duration of the loan, number of years, T = 10 years
The formula for the monthly payment on a loan, EMI, can be expressed as follows;
EMI = P·(r·(1 + r)ⁿ)/((1 + r)ⁿ - 1)
The monthly interest rate, r = 0.1/12
The number of payments, n = 10 × 12 = 120
Therefore;
EMI = 5000 × (0.1/12 × (1 + 0.1/12)¹²⁰)/((1 + 0.1/12)¹²⁰ - 1) ≈ 66
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Which of the following shows a translation of f(x) two units to the right?
f(x + 2)
f(x - 2)
f(x) - 2
f(x) + 2
Answer:
f(x-2)
Step-by-step explanation:
This is because f(x)-2 or f(x)+2 is moving it up or down and f(x+2) seems like it would be the right answer but it is reversed when it's in parenthesis so it would actually be moving 2 to the left.
Answer:
its f (x-2)
Step-by-step explanation:
i got this on my quiz and i got it right! i hoped this helped!!!
Find the perimeter of the figure
The total perimeter of the given composite figure is: 38.566 cm
What is the Perimeter of the composite figure?The perimeter is simply defined as the length of the boundary that makes up the given figure.
The perimeter of the rectangle sides is:
P1 = 8 + 10 + 8 = 26 cm
The perimeter of the semi circle is same as the circumference of a semi circle. Thus:
P2 = πr
= π * 8/2
= 12.566 cm
Thus:
Total perimeter = 12.566 + 26
= 38.566 cm
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Sunday at noon, the temperature was 5 degrees below zero. Wednesday at noon, the temperature was 7 degrees above zero. Which inequality compares the two integers for this situation correctly?
Answer:
- 5° < 0 < 7°
Step-by-step explanation:
Given that:
Sunday at noon :
Temperature = 5° below Zero
Wednesday at noon
Temperature = 7° above Zero
Temperature on Sunday noon < 0 < temperature on Wednesday noon
- 5° < 0 < 7°
The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail. The Iditarod Trail is 1,025 miles long. How long is the Great Western Trail?
Answer:
The Great Western Trail = 4,455 miles
Step-by-step explanation:
The Iditarod Trail = 1,025 miles long
The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail.
The Great Western Trail = (4 × 1,025) miles + 355 miles
= 4,100 miles + 355 miles
= 4,455 miles
The Great Western Trail = 4,455 miles
The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.
coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 30 to 10 comma 0
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is negative one third, which means that the swimmer completes a lap in one third of a minute.
The slope of the line is −3, which means that the swimmer will complete 3 laps every minute.
The slope of the line is 10, which means that the swimmer will finish the race after 10 minutes.
The slope of the line is 30, which means that the swimmer must complete 30 laps in the race.
Answer:
The correct answer is:
The slope of the line is -3, which means that the swimmer completes 3 laps every minute.
In general, the slope of a line represents the rate of change between the two variables being plotted. In this case, the x-axis represents time in minutes and the y-axis represents the number of laps remaining. The negative slope of -3 indicates that for every one minute that passes, the number of laps remaining decreases by 3.
Therefore, the meaning of the slope in terms of the real-world scenario is that the swimmer is completing laps at a rate of 3 laps per minute. This implies that the swimmer is maintaining a consistent pace throughout the race.
There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?
Answer:
9
Step-by-step explanation:
25 times .36 is 9!
I hope this helps!
Answer:
36% x 25= 9
9 students ate hotdogs
Step-by-step explanation:
just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25
FIELD TRIP A school is planning a field trip to a museum. Tickets cost $4 for students and $8 for adult chaperones. There must be at least 1 adult chaperone for every 9 students and no more than 1 adult Up to 100 people may go on the field trip. chaperone for every 4 students. What is the maximum total cost for tickets?
Answer:
The maximum total cost for tickets is $320 + $160 = $480.
Step-by-step explanation:
The maximum number of people that can go on the field trip is 100, so the maximum number of students is 100 - (100/5) = 80 students.
The maximum number of adult chaperones is 1 adult chaperone for every 4 students, so the maximum number of chaperones is 80/4 = 20 chaperones.
The total cost for student tickets is $4 x 80 = $320.
The total cost for adult chaperone tickets is $8 x 20 = $160.
The maximum total cost for tickets is $320 + $160 = $480.
Answer:
the maximum amount for the equation is 320+160=480
Reid has completed 55% of his homework assignment. Express the portion that Reid has completed as a fraction.
Answer: 11/20
Step-by-step explanation: Find the GCD (or HCF) of numerator and denominator
GCD of 55 and 100 is 5
Divide both the numerator and denominator by the GCD
55 ÷ 5
-----------
100 ÷ 5
Reduced fraction:
11
20
Therefore, 55/100 simplified to lowest terms is 11/20.
a bottle contains 12 red marbles and 8 blue marbles. a marble is chosen at random and not replaced. then, a second marble is chosen at random. determine the probability that the two marbles are not the same color. determine the probability that at least one of the marbles is red.
The probability that at least one of the marbles is red is 96/95.
To determine the probability that the two marbles are not the same color, we can consider the two possible cases: one marble is red and the other is blue, or one marble is blue and the other is red.
Case 1: One marble is red and the other is blue.
Probability of selecting a red marble first: P(Red) = (12 red marbles) / (20 total marbles) = 12/20 = 3/5
Probability of selecting a blue marble second: P(Blue) = (8 blue marbles) / (19 remaining marbles) = 8/19
Case 2: One marble is blue and the other is red.
Probability of selecting a blue marble first: P(Blue) = (8 blue marbles) / (20 total marbles) = 8/20 = 2/5
Probability of selecting a red marble second: P(Red) = (12 red marbles) / (19 remaining marbles) = 12/19
To find the probability that the two marbles are not the same color, we need to calculate the sum of the probabilities of Case 1 and Case 2:
P(Not the same color) = P(Red and Blue) + P(Blue and Red)
= P(Red) * P(Blue) + P(Blue) * P(Red)
= (3/5) * (8/19) + (2/5) * (12/19)
= 24/95 + 24/95
= 48/95
Therefore, the probability that the two marbles are not the same color is 48/95.
To determine the probability that at least one of the marbles is red, we can consider two cases: selecting one red marble or selecting two red marbles.
Case 1: Selecting one red marble
Probability of selecting a red marble first: P(Red) = (12 red marbles) / (20 total marbles) = 12/20 = 3/5
Case 2: Selecting two red marbles
Probability of selecting a red marble first: P(Red) = (12 red marbles) / (20 total marbles) = 12/20 = 3/5
Probability of selecting a red marble second: P(Red) = (11 remaining red marbles) / (19 remaining marbles) = 11/19
To find the probability that at least one of the marbles is red, we need to calculate the sum of the probabilities of Case 1 and Case 2:
P(At least one red) = P(Red) + P(Red and Red)
= P(Red) + (P(Red) * P(Red))
= (3/5) + ((3/5) * (11/19))
= 3/5 + 33/95
= 96/95
Therefore, the probability that at least one of the marbles is red is 96/95.
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Given the following ratio relationships: D/A = 0.62 N/E = 0.26 • D+E=A What is N/A? (Record your answer to a percent, rounded to 1 decimal place) 20. Given the following ratio relationships: • D/A = 0.21 • A-D=E What is D/E? (Record your answer as a whole number rounded to 2 decimal places) 20. Given the following ratio relationships: • D/A=0.70 • N/A=.17 · A=D+E What is N/E? (Record your answer to a percent, rounded to 1 decimal place) 20.C Given the following ratio relationships: • S/A = 7.6 N/S= .08 D/A = -55 • A=D+E What is N/A? (Record your answer to a percent, rounded to 1 decimal place)
The required ratios are D/A = 0.62, N/E = 0.26, D+E = A. N/A = 0.1% D/A = 0.21, A-D=E. D/E = 4.69 D/A = 0.70, A=D+E. N/E = 7.3% and S/A = 7.6, N/S= .08, D/A = -55, A=D+E. N/A = 1.1%
The required ratios are given below:
D/A = 0.62
N/E = 0.26
D+E = A
From D+E = A, we get E = A - DD/A = 0.62A = D/0.62E = A - D
Substitute these values into N/E = 0.26
N/A = N/E * E/AN/A
N/A = 0.26 * (A - D)/A
Also, given that A = D+E and substituting the values of A and E in it, we get
A = 1.62D
From D/A = 0.21, we get
A = D/0.21
A-D = E
Substitute the value of E in terms of D and A. We get,
A = 1.21D
From D/A = 0.70, we get
A = D/0.70
A = D+E
Also, we have N/A = 0.17.
Substituting the values of A and E in terms of D and solving the above equations, we get
D = -127.82,
A = -222.93, and
E = 95.11.
Now N/E = 17/100, we get
N/E = 0.17.
Substituting the values of E and D, we get
N/A = 7.6 * 0.08 / 0.55
N/A = 1.10%
The values of the required ratios are summarized below:
D/A = 0.62,
N/E = 0.26,
D+E = A,
Find N/A = 0.1%
D/A = 0.21,
A-D=E,
Find D/E = 4.69
D/A = 0.70,
A=D+E,
Find N/E = 7.3% and
S/A = 7.6,
N/S= .08,
D/A = -55,
A=D+E,
N/A = 1.1%
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2 inches is approximately 5 centimeters. Kevin is 66 inches tall. How many centimeters (cm) tall is he?
Idk I'm to dumb for this....
Answer: 165 cm
Step-by-step explanation:
5 dived by 2 = 2.5
66 x 2.5 = 165
(And you’re not dumb btw)
Answer: Basically, all you have to do is divide 66 by two then multiply times 5. So he is 165 centimeters tall. Hope this helps! You can also divide 5 by 2 and you still get the same answer!
Step-by-step explanation:
If angle FBC is 10x-9 , angle CBE is 4x+15 , find angle fbe
The measure of angle FBE is 14x + 6
How to determine the measure of angle FBE?The angles are given as:
Angle FBC = 10x-9
Angle CBE = 4x+15
The measure of angle FBE is calculated as:
Angle FBE = Angle FBC + Angle CBE
Substitute the known values in the above equation
Angle FBE = 10x - 9 + 4x + 15
Collect the like terms
Angle FBE = 10x + 4x - 9 + 15
Evaluate the sum and the difference
Angle FBE = 14x + 6
Hence, the measure of angle FBE is 14x + 6
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one of the longest pizzas ever made had a diameter of 80 yards. To the nearest square yard, what is the area of the pizza?
Answer:
Step-by-step explanation:
80 is the diameter to we need to divide it by 2 to find the radius
80/2= 40
A= 3.14* 40^2
A = 3.14 * 1600
A= 5024
Step-by-step explanation:
helpppp!! i’m willing to give all my points and brainliest, especially w explanation!
Which situation has the lowest cost per can?
8 cans for $4.88
12 cans for $7.20
2 cans for $1.68
10 cans for $5.80
Answer:
10 cans for $5.80
Step-by-step explanation:
Rewrite all these as a rational exponent please and thank you HELP ASAP
Answer:
\(\sf a) y^{\frac{5}{3}}\\\\b) x^{\frac{-1}{5}}\\\\c)w^{\frac{7}{8}}\)
Step-by-step explanation:
Radical to exponent form:
\(\sf \boxed{\sqrt[n]{x}=x^{\frac{1}{n}} }\)
\(\sf a) \sqrt[3]{y^5}=y^{5*\frac{1}{3}} =y^\frac{5}{3}\)
\(\sf b) \dfrac{1}{\sqrt[5]{x} }=\dfrac{1}{x^{\frac{1}{5}}}=x^{\frac{-1}{5}}\)
\(\sf c) \sqrt[8]{w^7}=w^{7* \frac{1}{8}}=w^{\frac{7}{8}}\)
This scale drawing shows an enlargement in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X=
The value of x from the shape is 5.6
Similarity of shapesSince the shapes are similar, hence the ratio of the sides is equal to a constant. Mathematically;
10/14 = 4/x
10x = 14 * 4
10x = 56
Divide both sides by 10
10x/10 = 56/10
x = 5.6
Hence the value of x is 5.6
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Answer:
X=5.6
Step-by-step explanation:
please help me asap.
Answer:
it would for sure be a
Step-by-step explanation:
Which of the following is the surface area of the right cylinder below?
A. 204units2
B. 480 units2
C. 408 units2
D. 240ft units2
SIIRMIT
Answer:
There is no photo all I can say is to re ask this question so that we are able to see a photo.
Step-by-step explanation:
For items 7-10, use the figure shown. Find the coordinates of the specified vertex after the given sequence of transformations.
Quadrilateral Q R S T plotted on a coordinate plane with vertices at, Q, (1, 3), R, (3, negative 3), S, (zero, negative 2), and T, (negative 2, 1).
a translation 2 units right, then a reflection across x = 0
Q' = ( , )
The coordinates of the specified vertex after the given sequence of transformations is given by;
Q' = (3, -3).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:
Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)
In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:
(x, y) → (x, -y)
Coordinate Q' (3, 3) → (3, -3).
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plz help me with thi quston
Answer:
448000
Step-by-step explanation:
First 10^4 is just 10*10*10*10=10000
44.8*10000 = 448000
Hope this helped!!
Answer:
4.48 x 10^5
Step-by-step explanation:
44.8 x 10000 = 448000 = 4.48 x 10^5