Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Answers
Given:
The polynomial is
[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]
To find:
The correct statement about the given polynomial.
Solution:
We have,
[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]
On combining like term, we get
[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]
[tex]=-3s^6t^2+6st^9-6t^7[/tex]
Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
Related Questions
What is the y intercept of the line?
4
-1
3
-2
Answers
Answer:-2 because the y intercept is when the x axis is zero
Step-by-step explanation:
A box contains 48 marbles. Two-thirds of the marbles are red. Three-fourths of the red marbles in the box are red and striped. How many of the marbles in the box are red and have stripes?
A.24 marbles
B.12 marbles
C.32 marbles
D.16 marbles
Answers
Answer:
C
Step-by-step explanation:
Answer: 24
Step-by-step explanation: 24
Simply multiply all of the fractions with the total number of marbles
48(2/3)(3/4)
Pls help me jenejfnnfnwndndbenjwjdndnwkjs
Answers
Answer:
I have no clue
Step-by-step explanation:
HAHA
10 Determine the area of the figure. 9 cm 6 cm 12 cm
Answers
Answer:
Area= 648
Step-by-step explanation:
Area formula: L times W times H
9 times 6 times 12 :)
When the length, width, and the height is given so the area of the figure is considered to be 648.
Calculation of an area:Since the length is 9cm
The width be 6 cm
And, the height is 12 cm
So, the area be like
= (9) (6) (12)
= 648
Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.
Learn more about an area here: https://brainly.com/question/20882229
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
Answers
2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz
Answers
Answer:
14.2 miles
Step-by-step explanation:
14.4 + m = 28.6 is your equation
Then subtract 14.4 from both sides
m = 14.2
what 30 x 23 30 x 23
Answers
30 x 23 = 690
23 x 30 = 690
Answer: 690
Step-by-step explanation:
Now whats 34+35?
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answers
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
Your answer
د لمانية
2
w
Is the answer 2?
Answers
Answer:
yes 2 is the answer yes yes yes yes
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?
Answers
Answer: 18.15 miles
Step-by-step explanation:
find the sum of 9/10 and 5/6 write an equation?
Answers
Answer: 1 11/15
Step-by-step explanation:
9/10 + 5/6
=
9 × 3
+--------
10 × 3
5 × 5
-------
6 × 5
=
27/30 + 25/30
=
27 + 25
-----------
30
=
52/30
=
52 ÷ 2
----------
30 ÷ 2
=
26/15
=
1 11/15
Answer:
Step-by-step explanation:
9/10 + 5/6 = 16/20
Simplify: 299.081+59.26-95.32-365.195
Answers
Define/explain the Pythagorean theorem.
Answers
Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
Answer:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
find the values of x and y in the diagram
Answers
Answer:
y=2, x=3
Step-by-step explanation:
We can see that because triangle EHF has all 3 of the angles the same, EFH is an equilateral triangle and all of the sides are the same. So, we now know that y+2=4. if we simplify that, we find that y=2. Now, because the angles FHG and angle FGH are the same, triangle FHG is an isosceles triangle, and y+2=x+1. we now know that y+2=4, so x+1=4. simplify and x=3
Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2
Answers
Answer:
[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]
Step-by-step explanation:
Given
[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]
Required
Simplify
[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]
Split fraction
[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]
[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]
[tex]sec\ t = \frac{1}{cos\ t}[/tex]
So, we have:
[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]
[tex]f(t) = 1 - cos\ t * cos\ t[/tex]
[tex]f(t) = 1 - cos^2\ t[/tex]
In trigonometry:
[tex]1 - cos^2\ t = sin^2\ t[/tex]
So, we have:
[tex]f(t) = sin^2\ t[/tex]
don’t understand, plz explain very urgent
Answers
Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer
Answers
Answer:
75.4 inches
Step-by-step explanation:
circumference = 2πr = 24π ≅ 75.4 inches
It's really more of a tubcake than a cupcake.
3 days 22 hours equals how many hours
Answers
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 947n - 5
The polynomial is__
Answers
Answer:
polynomial have 7 side...
What is the total surface area of the
triangular prism?
2.8 m
2.8 m
2 m
4 m
4 m
Answers
Answer:
2 m.....that's it
try it
a basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?
Answers
Answer:
3 : 1
Step-by-step explanation:
120-90=30
90 mangoes
30 apples
90 : 30 divide both by 10
9 : 3 divide both by 3
3 : 1
What is the present value of the following set of cash flows if the discount rate is 13.8%? (the cash flows occur at the end of each period) (round answer to nearest penny and enter in the following format 12345.67)
Year 0 cash flow = -3200 (a negative cash flow)
Year 1 cash flow = 900
Year 2 cash flow = 1000
Year 3 cash flow = 1500
Year 4 cash flow = 1900
Answers
Answer:
"flow" (and any subsequent words) was ignored because we limit queries to 32 words.
It looks like there aren't many great matches for your search
Tip Try using words
7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?
Answers
Answer:
168
Step-by-step explanation:
First, find the unit rate (the amount it increases with every 1/8)
147 ÷ 7 = 21
Next, multiply that by the denominator (8)
21 x 8 = 168
The answer is 168
Answer:
1/168
Step-by-step explanation:
hope this is right but you divide both of them
Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.
R(x)=1300x-x^2
C(x)=3300+20x
Will give brainliest!
Answers
Answer: Oh no... Anyway's wanna ask me a question about sex ed?
Step-by-step explanation: x=495
,P=241,525
Step-by-step explanation:
Given that
Profit=Total revenue - total cost
P= R -C
Also given that
So
Above equation is the total profit in terms if x.
Now to find maximum value of P we have to differentiate above equation with respect to x
So
⇒x=495
So total profit at x=445 ,P=241,525
Answer:
The profit function is:
[tex]P(x)=-x^2+1280x-3300[/tex]
The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:
[tex]R(x)=1300x-x^2[/tex]
And the cost function is:
[tex]C(x)=3300+20x[/tex]
Then the total profit function will be:
[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]
This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:
[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]
And the maximum profit will be:
[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]
0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7
Answers
your answer is k=10 the step by step is kn the picture
Solve for y 35 = 11y
Answers
Answer:
y=35/11
or
3.18 repeating
Step-by-step explanation:
Answer: 3.18181818182y
Step-by-step explanation:
You would do 11y divided by 11. Then 35 divided by 11.
That would get you 3.18181818182=y
In the year 2005, there were 100 rabbits in a particular region. Since then, the population has increased by 3.4% per year. Write an expression that represents the rabbit population in the year 2025, and solve it.
Answers
Answer:
Step-by-step explanation:
Your answer
Ok, lets do it systematically.
2005– 100 rabbits
3.4 % per year increasement.
So every year it increase 0.034 *100 = 3.4 per year
Total 2025-2005= 20 years
So expression is : 0.034*100*year(20)
Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168
Mark it as Brainlist answer. Follow me.
What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive
Answers
Answer:
Undefined
Step-by-step explanation:
Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.
a cube has a lateral surface area of 64sq m find the total surface area of the cube
Answers
Answer:
384 square meters.
Step-by-step explanation:
Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:
A x 6 = X
64 x 6 = X
384 = X
Thus, the area of the cube is 384 square meters.
the figure shows the dimension of a city park in feet what is the area of the park?
A 968 ft2
B 1,088 ft2
c 1,208 ft2
d 73,084
i need help on this one