Answer:
a. [tex]x^{2} + 3y^{3}[/tex]
b. [tex]3y^{3} -6[/tex]
c. [tex]5x -3[/tex]
d. -6t - 5
Step-by-step explanation:
When a number has the same variable as another, you can add or subtract them
So for the first one, you can do
[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]
(But don't forget the [tex]3y^{3}[/tex]!)
So it is:
[tex]x^{2} + 3y^{3}[/tex]
Continue this process for the rest of them
Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper?
Please help ASAP!!
Answer:C, 9 sheets
Step-by-step explanation:
Answer: It's true, it's 9.
Step-by-step explanation:
is x – 4 a factor of P(x) = x^4 - 4x^2 – 4x + 8 ? Explain.
Answer:
(x3 - 2x2 - 4) • (x + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((x4) - 22x2) - 4x) - 8
STEP
2
:
Checking for a perfect cube
2.1 x4-4x2-4x-8 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x4-4x2-4x-8
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x4-8
Group 2: -4x2-4x
Pull out from each group separately :
Group 1: (x4-8) • (1)
Group 2: (x+1) • (-4x)
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x4-4x2-4x-8
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -8.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8
Can someone help? Please and thankyou
What is the area of the parallelogram shown?
Answer:
16
Step-by-step explanation:
Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.
At that point you can compute the area by multiplying base and height, and the total surface is 16.
I need actual help on this.
Answer:
the average rate of change is D. -4
A pool company offers a pool with dimensions x and 2x. They also include a 3 foot deck around the entire pool.
1. Write an equation to represent the area of the pool and deck combined.
2. If someone wants a 10ft wide pool (x = 10) how many square feet must they have available in their back yard?
Answer:
1) area = (x + 3)(2x + 3) ft²
2) 299 ft²
Step-by-step explanation:
Question 1
Area of a rectangle = width x length
Given:
width = x + 3length = 2x + 3⇒ area = (x + 3)(2x + 3) ft²
Question 2
If x = 10:
⇒ area = (10 + 3)(2(10) + 3)
= 13 · 23
= 299 ft²
#1
New dimensions=x+3 and 2x+3ftSo
Area:-
Length ×Breadth(x+3)(2x+3)x(2x+3)+3(2x+3)2x^2+3x+6x+92x^2+9x+9ft^2#2
Put x=10
2(10)^2+9(10)+92(100)+90+9200+99299ft^2michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue
Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:
[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.
x hours - 1 way
Applying cross multiplication:
[tex]\frac{2}{3}x = \frac{7}{4}[/tex]
[tex]2x = \frac{21}{4}[/tex]
[tex]x = \frac{21}{8}[/tex]
x = 2.625.
It will take Michael 2.625 hours to drive to his mother's house.
More can be learned about proportions at https://brainly.com/question/24372153
Math homework pls help!!!
Answer:
17.8
Step-by-step explanation:
The power ands the square root cancel out.
Maria creates a new board game. Her board game uses toothpicks as game pieces. Each board game requires 10
toothpicks. If Maria has 62 toothpicks, how many of her board games will she be able to put together?
Answer:
6 games
Step-by-step explanation:
The number of games can be found by determining the number of groups of 10 Maria can make.
62/10 = 6.2
Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.
Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?
b) How many minutes did she practiced in those 12 days?
Answer:
9 hours, 540 minutes
Step-by-step explanation:
12 x 0.75 = 9
If you can help me that would be great the instructions are to factor these polynomial Don’t answer just to get pointsNO LINKS!!!!!!!!!!!
Answer:
3. 3(x+y)(x-y)
4. (y²+4)(y+2)(y-2)
5. 2(3x+1)(x+2)
Step-by-Step:
3. 3(x²-y²) = 3(x+y)(x-y)
4. y⁴-16 = (y²+4)(y²-4)= (y²+4)(y+2)(y-2)
5. 6x²+14x+4 = 2(3x²+7x+2) = 2(3x+1)(x+2)
PLEASE RATE!!! I hope this helps!!!
If you have any question comment below
(I have verified my answers on an online calculator)
4x — 3 = 6х - 7
i need it now
Answer:
x = 2
Step-by-step explanation
4x - 3 = 6x - 7
+7 +7 Adding seven so we can isolate on the Xs
4x + 4 = 6x
-4x -4x Once again, trying to isolate the X
4 = 2x
/2x Divide by 2
2 = x
Find the value of cos⁻¹ (cos7π/6).
Answer:
5π/6
Step-by-step explanation:
Given :
cos⁻¹ (cos7π/6)Solving :
We know that : cos⁻¹ cosθ = θBut we can't just do that in this caseBecause the range of cos values is [0, π]Clearly, our value does not lie in this rangeWe have to take a different Quadrant other than the 3rd Quadrant which gives cos a negative valueThe 2nd Quadrant also has cos values negativeTherefore,cos⁻¹ cos (π - π/6)cos⁻¹ cos (5π/6)⇒ 5π/6 ∈ [0, π] ⇒ It lies in the range!Answer:
5π Over 6
Step-by-step explanation:
You can write 7π6 as (π+π6)Thus we can clearly see the angle falls in the third quadrant. And the cosine value in third quadrant is always negative. Hence, cos(π+π6)=−cos(π6)coming back to the question cos−1[cos(7π6)]=cos−1[−cos(π6)]=π−cos−1[cos(π6)]=π−π6=5π6
What is the least common multiple? 27, 21
Answer:
189 is the LCM of 27 and 21
Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°
Answer:
x = 8
Step-by-step explanation:
3x + 2 + 7x + 8 = 90
10x + 10 = 90
10x = 80
x = 8
The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot. a 4-column table has 3 rows. the first column has entries third-row seats, no third-row seats, total. the second column is labeled 4-wheel drive with entries 18, 7, 25. the third column is labeled no 4-wheel drive with entries 12, 28, 40. the fourth column is labeled total with entries 30, 35, 65. what is the probability that a randomly selected car with no 4-wheel drive has third-row seats? 0.3 0.4 0.7 0.8
The probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
For this case, the table given is:
Entries 4-wheel drive No 4-wheel drive Total
Third Row Seats 18 12 30
No Third Row Seats 7 28 35
Total 25 40 65
Let we take
A = event that a randomly selected car has no-4 wheel drive
B = event that a randomly selected car has third row seats
The total ways a car can be selected = 65 = n(S)
Total ways A can happen = n(A) = 40 (from the table).
Similarly, n(B) = 30
P(A) = n(A)/n(S) = 40/65
P(B) = n(B)/n(S) = 30/65
P(A∩B) = n(A∩B)/n(S) = 12/65
As by chain rule, we have:
P(A∩B) = P(A)P(B|A) = P(B)P(A|B)
We need P( A randomly selected car has three seats given that the selected car is with no 4-wheel drive)
which is symbolically P( B | A)
Thus, we use: P(A∩B) = P(A)P(B|A)
or
[tex]12/65 = (30/65)(P(B|A))\\\dfrac{12/65}{30/65} = P(B|A)\\\\P(B|A) = \dfrac{12}{30} = \dfrac{2}{5} = 0.4[/tex]
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
Learn more about probability here:
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Answer:
b. 0.4
Step-by-step explanation:
took the test
Name any two timber plans found in the Terai region of Nepal? Where is Red panda found? Why is it called an endangered bird?
Step-by-step explanation:
red Panda is found in langtang national park and makalu-barun national park in Nepal .
timber planks for in the religion of Nepal sal, sissoo& Khair.
I'm injured birds are any bird fishing that is at risk of extinction because of a sudden rapid increase in population or a loss of its critical habitat .
Originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. After a month, the set of dishes had not sold, so the store marked it down 50%. What was the discounted price?
Answer:
$64.89
Step-by-step explanation:
57.68 + 1.25 × 57.68
= 57.68 + 72.1
= 129.78
The original price was $129.78.
129.78 – 0.50 × 129.78
= 129.78 – 64.89
= 64.89
The discount price was $64.89.
Find the value of d that makes line m ll n
Answer:
x = 45.
Step-by-step explanation:
The angle between the shorter line and line n is 90 degrees, so
2x must be 90 degrees for m and n to be parallel.
x = 45.
A median drawn to a side of a triangle is
Select one:
O a. a ray
O b. a segment
O c. a line
What value completes this expression?
4m + ____m = 4m (1 + 6)
Answer:
24
Step-by-step explanation:
4(1)m + 4(6)m
= 4m + 24m
It took 24 hours to fill up the town swimming pool with 18,000 gallons of water. How many gallons were filled in 1 hour?
Answer:
750 gallons per hour
Step-by-step explanation:
divide 18000 by 24 and you get 750
How much is 75% of 10 liter of milk?
Answer:
7.5 liters of milk
Step-by-step explanation:
Multiply 10 by 0.75
Hope that helps!
Complete the table.
Milkshakes Cost
Answer:
3 milkshakes will cost 0.75 cents
4 milkshakes will cost $1.00
Step-by-step explanation:
3 x 0.25 = 0.75
4 x 0.25 = 1.00
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Figure ABCDEF is a regular polygon. What is the measure of cdq?
Answer: 60
Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .
A philanthropist pledges to donate 13% of a fund each year. If the fund initially has $761,000.00, how much will the fund have after 16 years?
Please type answers with no commas and round to 2 decimal places.
If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have $35,517,190.20.
How much would the fund have after 16 years?The formula that can be used to determine the value of the fund after 16 years is:
Initial value of the fund x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
(1.13^16 - 1) / 0.13 = 46.671735
46.671735 x $761,000.00 = $35,517,190.20
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Option a to buy a house has a monthly cost of 618 dollars, up-front cost of 24,000 dollars, and advantages of a home equity and a yard for a pet. option b to rent close to work has a monthly cost of 950 dollars, up-front cost of 1,900, and advantages of convenient location, garage, and pool. option c to rent further out has a monthly cost of 600 dollars, up-front cost of 1,200, and advantages of 2 bedrooms, light-rail, and pool. which housing choice fits within your recommended monthly budget of $650-780? which option requires you to have at least $24,000 saved?
Option c is the best option that can be recommended since it has the least total cost for a year.
What is the up-front cost?An upfront cost is an initial sum of money owed in a purchase or business venture.
Option a:
Monthly cost = $618
Up-front cost = $24000
Total cost for a year= 618*12+24000 = $31416
Option b:
Monthly cost = $950
Up-front cost = $1900
Total cost for a year= 950*12+1900= $13300
Option c:
Monthly cost = $600
Up-front cost = $1200
Total cost for a year= 600*12+1200= $8400
Therefore, option c is the best option that can be recommended since it has the least total cost for a year.
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Answer:
1st question is A and C only, 2nd question is A only
Step-by-step explanation:
Got it right on edge. Have a great day :)
John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?
Answer:
20
Step-by-step explanation:
100/5=20
8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5
Answer:
A 0.5 = 0.50
Step-by-step explanation:
The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5
These two are equal.
In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease
Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.
How to explain the square?From the diagram, each side is called the side length. Therefore,
Side length of square 4 = a + bSide length of square 5 = a + bIf the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.
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A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.
The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 2 units, 5 units, and 5.39 units.
The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be
[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]
Then the area of the circle will be
[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]
The area of the circle is 12 square units.
More about the circle link is given below.
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