Subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have a polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
The dividend polynomial:
[tex]\rm = 3x^4+7x^3+2x^2+13x+5[/tex]
If we subtract the polynomial [tex]\rm 3x^4+9x^3+3x^2[/tex] from the dividend polynomial, we will get:
[tex]\rm = (3x^4+7x^3+2x^2+13x+5)-(3x^4+9x^3+3x^2)[/tex]
[tex]\rm = -2x^3-x^2+13x+5[/tex]
After bringing down 13x, we will get the polynomial:
[tex]=\rm -2x^3-x^2+13x[/tex]
If complete the division of the polynomial, we will get:
[tex]\rm = \frac{(3x^4+7x^3+2x^2+13x+5)}{x^2+3x+1}[/tex]
= [tex]=\rm 3x^2-2x+5[/tex]
Thus, the subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²
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Veronica is buying 6 ham sandwiches and 3 cheese sandwiches. Each sandwich
costs $4. The equation below can be used to find Veronica's total cost.
Veronica says all the sandwiches will cost more than $30. Use the drop-down
menus to explain if her statement is reasonable.
4×6+3=0
Answer: 36
Step-by-step explanation: 6 + 3 = 9.
4 * 9 = 36
Veronica's statement is reasonable because they cost more than $30.
The total amount of sandwiches is $36
Calculations and Parameters:Given that:
She buys 1 sandwich for $4
She buys 6 ham sandwiches and 3 cheese sandwiches
To find the total cost for Veronica would be:
6+3 = 9 total sandwiches
4 * 9= 36 total cost of the sandwiches.
Therefore, Veronica's statement is reasonable because they cost more than $30
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What is the exact circumference of the circle?
•
10T ft
•
20T ft
•
40T ft
60r ft
Answer:
60r ft
Step-by-step explanation:
If it is wrong correct me if it is correct pls mark me as brainliest pls
For which of the following would not expect to pay an excise tax? a. alchoholic beverages b. firearms c. gasoline d. groceries please select the best answer from the choices provided a b c d
The best choice for given would not expect to pay an excise tax is,the groceries is not expected to pay an excise tax.
Here we have to determine best choice for the given options would not expect to pay an excise tax.
First we have to know that excise tax
Therefore we have,
What is excise tax?Excise taxes are taxes that are imposed on various goods, services and activities.
This is because excise taxes are commonly levied on enterprises or goods that are deemed useless or even harmful, such as cigarettes.
Thus, the tax acts as a restraint to people acquiring these goods or services.
Clearly, groceries are important for endurance and are not worthless or dangerous.
Therefore, the groceries is not expected to pay an excise tax.
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Violet owns a small business selling clothing. She
knows that in the last week 53 customers paid
cash, 3 customers used a debit card, and 2
a
customers used a credit card.
Based on these results, express the probability
that the next customer will pay with cash or a
credit card as a decimal to the nearest
hundredth.
Answer:
0.95
Step-by-step explanation:
The probability that the next customer will pay with cash or a credit card is approximately 0.95 or 95%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To find the probability that the next customer will pay with cash or a credit card, we need to add the number of customers who paid with cash and the number of customers who paid with a credit card, then divide this sum by the total number of customers:
Number of customers who paid with cash or credit card.
= 53 + 2
= 55
Total number of customers
= 53 + 3 + 2
= 58
,
The probability that the next customer will pay with cash or a credit card is:
= 55/58
= 0.95 (rounded to the nearest hundredth)
Thus,
The probability that the next customer will pay with cash or a credit card is approximately 0.95 or 95%.
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can you esplain me what angles and unit angles are?
Answer:
An angle is a space which is usually measured in degrees between two intersection lines. A unit angle is the angle which is subtend by a portion of circumstances equal in length to radius of a circle.
THIS IS REALLY URGENT!
In a shopping center, two rectangular windows have to be replaced with a base of 5 meters and a height of 4 meters. The cost of the glass is $72 per square meter, and the glazier requires $80 per glazing for labor. How much will the complete installation of the two windows cost?
Need step by step explanation + I’ll give brainliest. This is due tmr and I only have 1 hours left.
Answer:
$3040
Step-by-step explanation:
5*4 = 20
↓
20*72=1440
↓
1440x2=2880
↓
80x2=160
↓
160+2880=3040
Hope this helps! :)
Valeria wants to ride her bicycle 48 miles this week. She has already ridden 18 miles. If she rides for 4 more days, what is the average number of miles she would have to ride each day to meet her goal?
Subract what she rode already from total:
48-18 = 30
Divide by number of days:
30/4 = 7.5
she will need to ride 7.5 miles per day
What is equivalent to 4 times the sum of 3 and x
Answer:
[tex]\huge\boxed{\bf\: 4 (x + 3) \: and \: 4x + 12 }[/tex]
Step-by-step explanation:
Let the variable be 'x'.
Sum of 3 and x = x + 34 times the sum of 3 and x = 4 (x + 3)Expression : 4 (x + 3)
On expanding ,
4 (x + 3)
= (4*x) + (4*3)
= 4x + 12 ⟶ equivalent expression to the statement .
[tex]\rule{150pt}{2pt}[/tex]
60=4(k+3) +2(k-3) I need to try to get the variable by itself
Answer:
k=9
Step-by-step explanation:
This is what i got, tell me if i got this right.
A bag contains hair ribbons for a spirit rally. The bag contains 4 black ribbons and 5 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that Lila selects a green ribbon and Jessica selects a black ribbon? Express your answer as a fraction in simplest form.
Answer:
3/15 x 12/14 = 36/210 = 6/35
Step-by-step explanation:
3 + 12 = 15
3/15 = black
12/15 = green
the probability Lila selects the black ribbon first is 12/15
Lila has taken one away so the total now decreases by one to 14
There are 3/14 black ribbons now, and hence the probability that Jessica takes one is 3/14.
Then you just multiply the two together:
3/15 x 12/14 = 36/210 = 6/35
So as a result, The simplified answer is 6/35
PLEASE HELP!!!!!!!
Type the correct answer in each box. Use numerals instead of words.
The function f(x)
= x^1/2 is transformed to get function m.
m(x) = (x + 1)^1/2 +2
What are the domain and the range of function m?
domain: ( ?, infinity)
range: ( ? , infinity)
Answer:
Domain: [-1, inf) Range: [2, inf)
Step-by-step explanation:
Facts aboout a square root: Can never = be negative.
Thus x + 1 = 0, x = - 1
Domain: [-1, inf)
When (x+1)^1/2 = 0, m(x) = 2
Range: [2, inf)
Answer: The answer and explanation are in the picture!
Step-by-step explanation:
Factor 1/10 out if 1/10x - 9/10. And yes, I do know that it is an odd question.
Answer:
x-9
Step-by-step explanation:
1/10×1 =1/10
1/10×9=9/10
so 1/10(1x-9) = 1/10x-9/10
WHat is the angle of the rotation of the following figure?
Answer:
I pretty sure it's 45 degrees from the information that you gave me.
Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.
Which shows a perfect square trinomial? 50 y squared minus 4 x squared 100 minus 36 x squared y squared 16 x squared 24 x y 9 y squared 49 x squared minus 70 x y 10 y squared
The perfect square trinomial will be 16x² + 24xy + 9y². Expression 3 is correct. Ax + By + Cz are trinomials.
What are trinomials?A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.
The third expression seems to be the perfect square let's check it.
[tex]\rm 16x^2 + 24xy + 9y^2 \\\\ (4x)^2+ (2 \times 4x + 3y) + (3y)^2 \\\\ (4x + 3y)^2[/tex]
Hence the expression 3 is the perfect square.
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9 1/4 pt = __ c
I can't do anything with fractions in it
Evaluate (−3) ^−3
Show work for full marks. Enter your final answer in simplified fraction form.
I NEED HELPP
-1/27
Solution:If we have a number to a negative power, we flip the number over, like so:[tex]-3- > \displaystyle\frac{1}{(-3)^3}[/tex]Simplify:[tex]\displaystyle\frac{1}{-27} =-\frac{1}{27}[/tex]Hope it helps.
Do comment if you have any query.
7.
Charlie and Dasha are roommates, and
they have a dog. If neither of them is
home, they hire someone to watch the
dog. Charlie must go on business trips
every 6 months, while Dasha must go on
business trips every 9 months. If they
both just got back from business trips,
how many months will it be before they
need to hire someone to look after the
dog again?
Explain your answer.
Answer:
they wont need to hire someone for nine months.
Charlie will be gone in 6 months, while Dash has 3 more months after til she leaves.
Answer: 18 months
Step-by-step explanation:
If both of them aren't at home, then they hire someone to look after the dog. However, if Charlie is on a trip and Dasha isn't, they don't. So they would need to be at business trips at the same time and that means they will hire someone to look after the dog. So we find the LCM of 6 and 9 which is 18 months.
Belle is going to make chili for a football party. It will take 1 hour and 10 minutes to prepare all the ingredients and assemble them in the pot. Then, the chili will need to simmer for 1 hour and 40 minutes. What is the latest time Belle can start preparing the ingredients if the chili needs to be ready at 4:00 P. M. ?
Answer:
1:10pm
Step-by-step explanation:
1st, you add all the time needed to make the chili & cook it.
1 hour + 10 minutes + 1 hour + 40 minutes = 2 hours & 50 minutes.
Now you work backwards from 4:00pm.
You go back 2 hours & you would be at 2:00pm
Now you go back another 50 minutes & you would be at 1:10pm
To double check, you can add 2 hours & 50 minutes to 1:10pm & you would get 4:00pm
Number 9 need help mathhh
Using the volume formula, we will see that the volume of the sphere is V = 381.51 cm^3
How to get the volume of the sphere?
For a sphere of radius R, the volume is given by the formula:
[tex]V = (\frac{4}{3})*3.14*R^3[/tex]
In this case, we can see that the diameter is 9 cm, then the radius is half of that:
R = 9cm/2 = 4.5cm
Now that we know the radius, we can replace it on the volume formula to get:
[tex]V = (\frac{4}{3})*3.14*(4.5cm)^3 = 381.51 cm^3[/tex]
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A guidance counselor compiles data relating a student's english grade to the number of languages studied. the results are shown in the frequency table below. a 4-column table with 3 rows titled english grade versus number of languages studied. the first column has no label with entries english only, english and another language, total. the second column is labeled 90 or above with entries 15, 110, 125. the third column is labeled lower than 90 with entries 105, 270, 375. the fourth column is labeled total with entries 120, 380, 500. the counselor converts the frequency table to a conditional relative frequency table by column. a 4-column table with 3 rows titled english grade versus number of languages studied. the first column has no label with entries english only, english and another language, total. the second column is labeled 90 or above with entries 0.12, 0.88, 1.0. the third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. the fourth column is labeled total with entries x, y, 1.0. what is the value of x? 0.16 0.20 0.24 0.40
The value of x is 0.24. Option C is correct. The frequency table is used to find the relative frequency.
What is a frequency table?A frequency table is a collection of things with the number of times they appear in the table. f is used to signify frequency.
The given data from the table is;
The subgroup count of the column = 120
The total count = 500
x is the relative frequency
The relative frequency is found as;
[tex]\rm x = \frac{ subgroup \ count }{ total \ count } \\\\ x=\frac{120}{500} \\\\\ x = 0.24[/tex]
Hence the value of x is 0.24. Option C is correct.
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Answer:
answer on edge is c
Step-by-step explanation:
The length of a rectangle is twice its width. The perimiter of the rectangle is 36 ft what are the length and the width of the rectangle?
Answer:
W = 6', L = 12'
Step-by-step explanation:
Let W be the width and L the length.
We are told that L = 2W
The perimeter is 2L + 2W = 36'
Use the first equation in the second: 2(2W) + 2W = 36'
4W + 2W = 36'
6W = 36'
W = 6'
and since L = 2W, L = 12'
Check: Does a width of 6' and length of 12' make a perimeter of 36'?
2*6' + 2*12' = 36' ?
12'+24' = 36'
YES
The length is 12' and the width is 6'. The lenght is twice the width, and the perimeter adds to 36'.
Which graph represents a function?
Answer:
The LAST graph, the horizontal line.
Step-by-step explanation:
The first three graphs do NOT pass the vertical line test. The last graph does. It clearly has only one y-value for each x-value. The function is the last one!
HELP WHAT IS THE ANSWER TO THISS
Given: ABC is a right triangle
Prove: A^2 + b^2 =c^2
A = addition property of equality
B = Pythagorean theorem
C = Pieces of right triangles similarity theorem
D = cross product property
Answer: B
Step-by-step explanation:
You cannot use what you are trying to prove as a justification.
forgot how to do dis
i need help with this and explain if you can
and i already tried the answers 18.85 and 28.27
so i don't know what the answer is HElp me
Answer: Please check the picture attached
Step-by-step explanation:
Help please <<<<<<<<<<<<<<<<<<<>>>>>>>>
Answer:
18273546
or 81725364
Step-by-step explanation:
assending or disssending order by way
i’m confused on how to do this can u help me
Answer:
i think the first one
Step-by-step explanation:
so to do this, you first have to look at what the x means and what the y means
the x means the time
the y means the speed
now we check the graph, from the points (1, 112) and (7, 16) does x decrease? yes it does
so we can cross out all the "increase x "choices, you could choose the answer now, but lets undertstand
when x decreases y also decreases. you can know because when x is 1 y is 112 but when x is 2, y is 96
A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes?
A) 0.9527
B) 0.9178
C)0.4554
Answer:
0.9527
Step-by-step explanation:
Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay
The binomial probability for getting at least 4 successes is 0.955
What is binomial probability?The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.
Binomial probability formula[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]
Where,
P is the binomial probability
x is the number of times for a specific outcomes within n trials
[tex]nC_{x}[/tex] is the number of combinations
p is the probability of success in a single trial
q is the probability of failure on a single trial
n is the number of trials
Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.
And let x be a random variable denoting the number of success.
According to the given question.
We have
[tex]p = 0.85[/tex]
⇒[tex]q = 1- 0.85 = 0.15[/tex]
Also,
n = 6
Therefore,
The binomial probability of getting at least 4 success
[tex]=P(x\geq 4)[/tex]
[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]
[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]
[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]
[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]
[tex]=0.165+0.396+0.4\\=0.955[/tex]
Hence, the binomial probability for getting at least 4 successes is 0.955
Thus, option A is correct.
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A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. which diagram correctly represents this scenario? a ladder is propped against a 25 foot tall wall. the angle between the ladder and the ground is 18 degrees. a 25 foot ladder is propped against a wall forming an 18 degree angle. a ladder is propped against a wall forming an 18 degree angle. the distance between the bottom of the ladder and the wall is 25 feet. a 25 foot ladder is propped against a wall. the angle between the ladder and the ground is 18 degrees.
Answer:
its B
Step-by-step explanation:
The correct option is A 25-foot ladder is propped against a wall forming an 18-degree angle.
What are Trigonometric ratios?Trigonometric ratio is used to show the relationship between the sides and angles of a right-angled triangle.
A right-angled triangle is a triangle in which one of the angle is 90 degrees.
Given a 25-foot-long ladder is propped against a wall at an angle of 18° with the wall.
Here, the right-angled triangle ABC with side AB as the hypotenuse
The diagram of the scenario is attached below.
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Find the twenty-fourth term of the arithmetic sequence whose eighteenth term is 42, and whose twenty-fifth term is 56.
Answer:
54
Step-by-step explanation:
Given
a₁₈ = 42a₂₅ = 56Solving
a₁₈ = a + 17d = 42 (1)a₂₅ = a + 24d = 56 (2)(2) - (1)a + 24d - a - 17d = 56 - 427d = 14d = 2a = 56 - 24(2) = 56 - 48a = 8Finding a₂₄
a₂₄ = a + 23d8 + 23(2)8 + 4654