Answer:
Binomial
Step-by-step explanation:
Edited to add:
It can also be called a binomial because there are 2 unlike terms x and y. I'm not sure what you are studying, so it may be better to go with binomial. The Quartic is when you are looking at the degree of a single term polynomial.
You can name a polynomial based on terms, or based on degrees.
If it's based on degree it would be bi-quadratic, because it's ^4 and you have 2 different terms. If you're looking at terms it would be binomial because you have x and y to solve for.
The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.
You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.
All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.
Answer: 5th degree polynomial (quintic polynomial)
====================================================
Explanation:
5x^4y is the same as 5x^4y^1. The exponents 4 and 1 sum to 4+1 = 5
The term 3x^2y, or 3x^2y^1, has the exponents add to 3
The term 4xy has the exponents add to 2
The largest sum of exponents is 5, so we have a 5th degree polynomial
This is known as a quintic polynomial
Note: the degree of the polynomial is equal to the largest sum of exponents for each term, so the degree is 5.
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Choose the equation to match the situation
Answer:
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
Step-by-step explanation:
From the given information:
Let consider x to be the of volume 40% solution
therefore the volume of 5% is said to be:
10 L= 40% solution volume + 5% solution volume
10 L= (x + 5%) solution volume
making 5% solution volume the subject; we have
5% solution volume= 10 L - x
To estimate the value of the volume, we now have:
Volume of 20% × Concentration of 20%= (Volume of 40% × concentration40%) + (Volume of 5% × Concentration of 5% )
∴
10L × 20%= (x) L × 35% + 10 L × 5%
(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15
[tex]x L = 10L \times \dfrac{15}{35}[/tex]
x = 4.28 L
x [tex]\simeq[/tex] 4.3L
∴
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
A rock is dropped off the edge of a cliff and its distance s (in feet) from the top of the cliff after t seconds is s(t) = 16t2. Assume the distance from the top of the cliff to the water below is 96 ft.
A) When will the rock strike the water?
B) Make a table of average velocities and approximate the velocity at which the rock strikes the water.
Answer:
A) 2.45 seconds
B)[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]
Step-by-step explanation:
Distance [tex]s[/tex] (in feet) from the top of cliff after [tex]t[/tex] seconds when a rock is dropped off the edge of a cliff is given as:
[tex]s(t)=16t^2[/tex]
Distance from the top of cliff to water = 96 ft
To find:
A) When will the rock strike the water
i.e. The time taken by the rock to travel the distance of 96 ft.
B) Table of Average Velocity and approximate velocity at which the rock strikes the water ?
Solution:
A) Given that distance traveled = 96 ft
To find the value of [tex]t[/tex]
Putting the value of [tex]s[/tex] in formula: [tex]s(t)=16t^2[/tex] to find [tex]t[/tex]:
[tex]96 = 16t^2\\\Rightarrow t^2=6\\\Rightarrow \bold{t = 2.45\ sec}[/tex]
B) The velocity at which the rock hits the water:
We need to differentiate [tex]s(t)[/tex] w.r.to [tex]t[/tex] in order to find the velocity at any instant.
[tex]s'(t) =\dfrac{d}{dt}s(t) = \dfrac{d}{dt}(16t^2)\\\Rightarrow v = 2\times 16t^{(2-1)}\\\Rightarrow v = 32t[/tex]
The time taken to reach the water is 2.45 seconds.
Putting [tex]t[/tex] = 2.45 seconds to find the velocity:
[tex]v = 32\times 2.45 = 78.4\ ft/sec[/tex]
Average velocity is given as total distance traveled and total time taken.
[tex]\text{Average Velocity = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]
[tex]\text{Average Velocity = }\dfrac{96}{2.45}\\\text{Average Velocity = 39.18\ ft/s}[/tex]
[tex]\begin{center}\begin{tabular}{ c c}\bold{Average Velocity} & \bold{Velocity at strike of water} \\ 39.18 & 78.4 \\ \end{tabular}\end{center}[/tex]
A baseball pitcher has pitched 89 innings. What is the number of innings written as a decimal?
3
2
The number of innings 89 written as a decimal is
Answer:
I think its 0.89
Step-by-step explanation:
what is the answer to this n+3/8 = -4 solve for n pls :)
2. Which of the following is not an example of
a perfect square?
a. 9 +
b. 200
c. 4
.
d. 64
Answer:
B. 200
Step-by-step explanation:
A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.
Non perfect square numbers are 1*2=2,
3*1=3,
5*1=5,
3*2=6,
6*1=6,
7*1=7
Examples of perfect squares:
1*1=1
2*2=4,
3*3=9,
4*4= 16,
5*5=25,
6*6=36,
7*7=49,
8*8=64,
9*9=81,
10*10=100,
11*11=121,
12*12=144,
13*13=169,
14*14=196,
15*15=225 and so on
For what value of x is line a parallel to line b?
Answer:
22.
Step-by-step explanation:
If lines A and B are parallel to each other, then 4x + 28 = 116.
4x + 28 = 116
4x = 88
x = 22.
The product of 2 and w
Answer:
2w
Step-by-step explanation:
that is 2 times w if you want a anwser i would need a definition of w
Use the distributive property and add like terms 5(3x-4) -8x
Answer:
[tex] \huge{ \fbox{ \sf{7x - 20}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: 5(3x - 4) - 8x}}[/tex]
[tex] \text{Step \: 1 \: : Distribute \: 5 \: through \: the \: parentheses}[/tex]
[tex] \mapsto{ \sf{5 \times 3x - 5 \times 4 - 8x}}[/tex]
[tex] \mapsto{ \sf{15x - 20 - 8x}}[/tex]
[tex] \text{Step \: 2 \: : Collect \: like \: terms}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \mapsto{ \sf{15x - 8x - 20}}[/tex]
[tex] \mapsto{ \boxed{\sf{7x - 20}}}[/tex]
[tex] \sf{Hope \: i \: helped!}[/tex]
[tex] \sf{Best \: regards!!}[/tex]
~[tex] \rm{TheAnimeGirl}[/tex]
What is the value of x in this equation? 5x − 2(2x − 1) = 6
Answer:
x=4
Step-by-step explanation:
first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2
the equation would then be 5x-4x+2=6
add the x's together which turns the equation to 1x+2=6
minus 2 from both sides of the equation which gives you x=4
The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine the value of x in the equation
Given that the equations as :
⇒ 5x − 2(2x − 1) = 6
Open the parentheses and apply the multiplicative property,
⇒ 5x - 4x + 2 = 6
Apply the subtraction operation in the terms of x
⇒ x + 2 = 6
⇒ x = 6 - 2
⇒ x = 4
Therefore, the required value of x would be 4 in the equation
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Farmer Hank has fewer than 100 pigs on his farm. If he groups five to a pen, there are always three pigs left over. If he groups the pigs seven to a pen, there is always one left over. However, if he groups the pigs three to a pen, there no pigs left. What is the greatest number of pigs that Farmer Hank could have on his farm?
Answer:
the answer is 99
Step-by-step explanation:
HELP ME ASAP
Select the correct answer. What is the solution to the equation 4x - 8 = -8? A x = 0 B. No solutions exist. OC. OD X = -4 or x = 4
Answer:
the answer is A
Step-by-step explanation:
because if you listen in math class you will understand why-
Answer:
A: x = 0
Step-by-step explanation:
i need help plsss ;(((
Answer:
Look below
Step-by-step explanation:
1) x = 14, because 14 * 14 = 196
2) x = 3 / 16, because ( 3 / 16 ) * ( 3 / 16 ) = 9 / 256
3) x = 8, because 8 * 8 * 8 = 512
4) x = 4 / 7, because ( 4 / 7 ) * ( 4 / 7 ) * ( 4 / 7 ) = 64 / 343
You meet with the financial aid office to discuss your costs for attending MGA next semester. Tuition is $113.67 per credit hour, and fees are a flat cost of $660. You have a grant of $350 and a scholarship of $400. If you are taking 15 credit hours, what amount will you need to pay for your classes next semester?
Answer:
$1615.05
Step-by-step explanation:
First the cost. We know that tuition per credit hour is 113.67 and there is a flat fee of 660. This can be represented by 113.67h + 660, where h is equal to the number of credit hours.
Next, the amount paid. There are two constants of 350 and 400 already there. We can represent the remaining amount that needs to be paid by another variable, x.
Now, the cost needs to be equal to the amount you pay. We can replace h with 15 for 15 hours and solve for x.
113.67h + 660 = 350 + 400 + x
113.67(15) + 660 = 350 + 400 + x
1705.05 + 660 = 750 + x
2365.05 = 750 + x
1615.05 = x
Fatima highlighted columns 3 and 8 in the multiplication table below to find equivalent ratios.
1 2 3 4 5 6 7 8 9
1 1 2 3 4 5 6 7 8 9
22 4 6 8 10 12 14 16 18
3 3 6 9 12 15 18 21 24 27
4 4 8 12 16 20 24 28 32 36
5 5 10 15 20 25 30 35 40 | 45
6 6 12 18 24 30 36 42 48 54
7 7 14 21 28 35 42 49 56 63
8 8 16 24 32 40 48 56 64 72
9 9 18 27 36 45 54 63 72 81
Which ratio is equivalent to 8:32
O 12:32
24:3
40:15
64:9
Save and Exit
Answer:
the answer is 40:15
Step-by-step explanation:
Answer:
answer 40:15
Step-by-step explanation:
Two planes intersect in exactly _____. one plane, two lines, one point, one line, thank you
Answer:
one line
two planes intersect in one line
if a cubic container has a side length of 50.0cm, what is the volume in liter?
Answer:
The answer is
125 litresStep-by-step explanation:
To find the volume in liter we must first find the volume in cm³
Since the container is cubic
Volume = l³
where l is the length of one side
From the question
l = 50.0 cm
Volume = 50³
= 125000 cm³
Next we use the conversion
1cm³ = 0.001 L
If 1 cm³ = 0.001 L
Then 125,000 cm³ = 125,000 × 0.001 L
We have the final answer as
125 litresHope this helps you
Using the volume of a cube, and conversion of units, it is found that the volume of the cube is of 125 liters.
---------------------
The volume of a cube of side s is given by:
[tex]V = s^3[/tex]
---------------------
Side length of 50cm means that [tex]s = 50[/tex].Thus, the volume, in cubic centimetres, is given by:
[tex]V = 50^3 = 125000[/tex]
---------------------
To convert the volume from cubic centimetres to liters, it is divided by 1000.Then:
[tex]\frac{125000}{1000} = 125[/tex]
The volume of the cube is of 125 liters.
A similar problem is given at https://brainly.com/question/23514867
Help i don’t know the answer to this
Answer:
95°
Step-by-step explanation:
∠SRW is a vertical angle with respect to the one marked 95°. As such, it will have the same measure: 95°.
m∠SRW = 95°
What is an algebraic equation?
Answer:
algebraic equation is an equation of the form
Give two different ways to write each expression in words
Answer:
Sometimes in math we describe an expression with a phrase. For example, the phrase
"222 more than 555"
can be written as the expression
2 + 52+52, plus, 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).
For example,
"333 more than xxx"
can be written as the algebraic expression
x+ 3x+3x, plus, 3.
But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.
Step-by-step explanation:
Two minor league baseball players got a total of 314 hits. Washington had 4 more hits than Sanchez. Find the number of hits for each player.
Answer:
Washington has 159 hits and Sanchez has 155 hits.
Step-by-step explanation:
First, divide 314 by 2 (the number of players), then add 2 for Washington and subtract 2 for Sanchez.
can someone please help me
Answer:
8^18
Step-by-step explanation:
8^15+3
8^18
1 Which proputy is illustrated by the equation
ax +ay=a(x+y)?
1) associative
2 2) commutative
3) distributive
4) identity
Answer:
its a distributive property..
9(Y+2)=
Distributive Property & Combining Like
Answer:
9y+18
Step-by-step explanation:
Distribute the 9 to the terms in the parentheses.
9(y)+9(2)
9y+18
Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches
Answer:
V = πr²(h/3)
Step-by-step explanation:
83.74 = πr²(5/3)
R = 4.00 in
Diamater = 2r = 2 x 4.00 = 8 inches
2u^2 + v when u=3 and v=7
Answer: 25
Step-by-step explanation:
There are two variables which is u and v and is given that u is 3 and v is 7 so input that into the expression and solve.
2(3)^2 + 7 Solve the exponent first
2(9) + 7 Now multiply then add
18 + 7 = 25
I need help asap!! pls!
Answer:
k = [tex]\frac{11}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3k, 6) and (x₂, y₂ ) = (k, - 5)
m = [tex]\frac{-5-6}{k-3k}[/tex] = [tex]\frac{-11}{-2k}[/tex] = [tex]\frac{11}{2k}[/tex] = 2 ( multiply both sides by 2k )
4k = 11 ( divide both sides by 4 )
k = [tex]\frac{11}{4}[/tex]
Answer:
k= 11
4 because when you find the opposite pro bioniomals with mc² and you add 45 + 3 - 6 / -5
how do you solve (5^{2} - 1) ÷ 6
[tex]( {5}^{2} - 1) \div 6 = [/tex]
[tex](25 - 1) \div 6 = [/tex]
[tex]24 \div 6 = 4[/tex]
Note:
Do the square first, and then you do mathematic operation between the parentheses. And, then do the
mathematic operation in the outside of parentheses.
Thank you.
Answer:
4Step-by-step explanation:
[tex]\left(5^2-1\right)\div \:6\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5^2-1\right)\::\quad 24\\=24\div \:6\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:24\div \:6\:\\:\quad 4[/tex]
The coordinates of the vertices of a triangle are 2,3 5,1 and 6,4 after one reflection the coordinates of the vertices of the triangle’s image are (2,-3) (5,1) and (6,-4). Over what line has the triangle been reflected?
Answer:
it is being reflected by the x axis
3n-5=8(6+5n) addition property of equality
Answer:
exact form: n=-53/37
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
The properties used:
a) Distributive Property.
b) Combining Like Terms.
c) Division Property of Equality.
Given is an equation 3n-5 = 8(6+5n), we need to solve it by using Property of Equality.
Let's solve the equation step by step:
3n - 5 = -8(6 + 5n)
First, we will distribute the -8 to the terms inside the parentheses:
3n - 5 = -48 - 40n
Next, we can simplify the equation by combining like terms:
3n + 40n = -48 + 5
43n = -43
Now, to isolate n, we will divide both sides of the equation by 43:
(43n)/43 = (-43)/43
n = -1
The solution to the equation is n = -1.
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Solve the inequality. A. >> O B. x >7 C. x>-5 ) D. x
Answer:
A. [tex] x > \dfrac{7}{3} [/tex]
Step-by-step explanation:
[tex] 8(\dfrac{1}{2} x - \dfrac{1}{4}) > 12 - 2x [/tex]
Distribute the 8 on the left side.
[tex] 4x - 2 > 12 - 2x [/tex]
Add 2x to both sides. Add 2 to both sides.
[tex] 6x > 14 [/tex]
Divide both sides by 6.
[tex] x > \dfrac{14}{6} [/tex]
Reduce 14/6 by dividing the numerator and denominator by 2.
[tex] x > \dfrac{7}{3} [/tex]