The expression that is a prime polynomial is:
B. [tex]x^3 - 27y^2[/tex].
What is a prime polynomial?A prime polynomial is a polynomial that cannot be factored.
In this problem, item b gives a prime polynomial, as:
In item a, 3 is a common factor, hence the polynomial can be factored.In item c, x is a common factor, hence the polynomial can be factored.In item d, the polynomial can be factored according to it's roots.More can be learned about prime polynomials at https://brainly.com/question/26388060
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In ABC A is a right angle what is the value of y
Answer:
A
Step-by-step explanation:
sin 30 = y/7
Sin is being used and there is only one option with sin in it, so that is the right one.
Distributive property Multiply.
1. 8(3a+5)
2. 4(6-2d)
3. 9(2x-7y)
Answer:
1. 24a + 40
2. 24 - 8d or -8d + 24
3. 18x - 63y
Step-by-step explanation:
1.
multiply the 8 by 3a then by 5
8(3a + 5)
24a + 40
2. multiply the 4 by the 6 and -2d
4(6 - 2d)
24 - 8d or -8d + 24
3. multiply the 9 by the 2x and -7y
9(2x-7y)
18x - 63y
A box had twice as many grapes as a basket. Once 2 kg of grapes were added to the basket, it contained 0.5 kg more than the box. How many kilograms of grapes are in the basket now? (it's not 3kg or 1.5kg)
Answer:
3.5kg
Step-by-step explanation:
Let original weight of grapes in box be X and weight of grapes in basket be Y.
From the first sentence
X = 2Y (weight in box = 2 times weight in basket) --- (1)
If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2
From the second statement
Y + 2 = X + 0.5
Subtracting Y from the LHS gives 2 = X - Y + 0.5
Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5 --- (2)
Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg
But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg
Suppose the santa monica has a hull length that is 10 ft shorter than that of the nina pinta. what expression represents the hull speed of the santa monica in terms of the length, ln of the nina pinta? v subscript s baseline = a startroot b endroot where a = and b = ln what are the restrictions on ln? ln >
The hull speed of a boat when given by the function v = 1.34√l, makes the expression represent the speed of Santa Monica, v = a√b, with a = 1.34, and b = ln - 10, where lₙ is the length of the Nina Pinta. The restriction on lₙ is that lₙ > 10.
In the question, we are asked to express the speed of the boat of Santa Monica in terms of the length, lₙ of the Nina Pinta.
We are informed that the function is represented as v = a√b, for the speed of Santa Monica.
We are given that the hull speed of a boat of length l is given as v = 1.34√l.
Comparing, the speed of Santa Monica v = a√b, to the general formula v = 1.34√l, we get:
a = 1.34, and
b = the length of the boat of Santa Monica.
The length of the boat of Santa Monica is 10 ft. shorter than of Nina Pinta.
Thus, b = lₙ - 10, where lₙ is the length of the boat of Nina Pinta.
Since b has to be positive, as the function involves square root over b, lₙ - 10 > 0, or, lₙ > 10, is the restriction on the length of the boat of Nina Pinta.
Thus, the hull speed of a boat when given by the function v = 1.34√l, makes the expression represent the speed of Santa Monica, v = a√b, with a = 1.34, and b = ln - 10, where lₙ is the length of the Nina Pinta. The restriction on lₙ is that lₙ > 10.
Refer to the attachment for the complete question since the question provided is incomplete.
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Answer: check pic
Step-by-step explanation:
EDGE 2022
Which of these shapes is congruent to the given shape? a quadrilateral, tilting right, plotted on a grid. a. a quadrilateral plotted on a grid across 4 units. b. a quadrilateral, tilting right, plotted on a grid. c. a vertical quadrilateral plotted on a grid. d. a quadrilateral, tilting left, plotted on a grid. e. a quadrilateral, tilting left, plotted on a grid.
Option D is correct.
Figures are missing in the question.
The images below shows the missing figures of question.
Solution:For congruent figures, we need the same shape, same area, and inverse direction.
Congruent figures have congruency. That seems simple enough, but congruent figures need not be turned the same way or face the same direction to be congruent.
In the case of geometric figures, line segments with the same length are congruent and angle with the same measure are congruent.
In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects.
In this sense, two plane figures are congruent implies that their corresponding characteristics are "congruent" or "equal" including not just their corresponding sides and angles, but also their corresponding diagonals, perimeters, and areas.
The figure in option D satisfies all these conditions. Hence, Option D is correct.
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On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, negative 1), (2, negative 1), and (negative 1, negative 5). Triangle R S T has points (1, 1), (1, 5), and (4, 1).
Which best explains whether or not triangles RST and ACB are congruent?
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left.
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the y-axis and a translation 2 units down.
The figures are not congruent. Point R corresponds to point A, but S corresponds to B and T corresponds to C.
The figures are not congruent. Point R does not correspond with point A.
Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Reflection, translation and rotation are rigid transformation which preserve the shape and size of a figure, forming congruent figures.
Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.
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Answer:
Option A
Step-by-step explanation:
when you go to another country you might need to exchange United States Dollars for the local countries currency. For example if you go to south korea, you can get 780 Won for $1.00. How many dollars would I expect to get if I exchanged 98,000 Won.
Money that is collecting interest in a bank account doubles in value every 10 years. When the account was opened, it had 16, or 2* dollars in it. After 50 years, the account balance has doubled 5 times, increasing by a factor of 2 It now has a balance of 2*.25. Expressed as a power, how much money, in dollars, is in the account after 50 years? 1
The amount in dollars that is in the account after 50 years expressed in power is; 2⁹
How to apply the rule of exponents?
We are told that the money doubles in value after every 10 years.
When the account was opened it had 2⁴ dollars in it and after 50 years it has doubled 5 times. The doubling increased by a factor of 2⁵ and is now has a balance of 2⁴ × 2⁵.
Using the rule of exponents, we have;
2⁴ × 2⁵ = 2⁹
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Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function x and use implicit differentiation.
x^2-sin (x+y)=1 ,dy/dx=2 x sec(x+y) - 1
We cannot express the function [tex]x^{2} -sin(x+y)=1[/tex] in y=f(x) form it has an implicit function.
Given function [tex]x^{2} -sin(x+y)=1[/tex] and dy/dx=2x sec(x+y)-1
A relation is said to be an implicit solution of a differential equation involving x,y and derivatives of y with respect to x if defined explicit solution. In other words the function which cannot be written as y=f(x).
Function is a relationship between two or more variables which have one value for each value of x.
We have to first differentiate the function with respect to x.
[tex]x^{2} -sin(x+y)=1[/tex]
2x-cos(x+y)(1+dy/dx)=0
2x-cos(x+y)+cos(x+y)dy/dx=0
cos(x+y) dy/dx=cos(x+y)-2x
dy/dx={cos(x+y)-2x}/cos(x+y)
dy/dx=cos(x+y)/cos(x+y)-2x/cos(x+y)
dy/dx=1-2x cos(x+y)
The given solution is incorrect.
when we solve the function to collect the variable y in one side we cannot be able to do that.
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Which equation matches the graph shown?please help!
Answer:
y = - x² + 1
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (0, 1 ) , then
y = a(x - 0)² + 1 = ax² + 1
to find a substitute any other point that lies on the graph into the equation
using (1, 0 ) , then
0 = a(1)² + 1 ( subtract 1 from both sides )
- 1 = a
y = - x² + 1 ← equation of graph
Answer:
- x² + 1
Step-by-step explanation:
the vertex of the graph is (0 , 1)
Then the equation of the graph has this form :
(x - 0)² + 1 or - (x - 0)² + 1
Since the parabola is opening down
Then
the equation of the graph is :
- (x - 0)² + 1 = - x² + 1
10 in.. 5 in. 12/2 in. The rectangles are similar. Find x. 25 in. B X 17 in C 2/1/2 in.
Answer:
You will have 25in as your answer
Answer is 25
To find this you need to find the dilation ratio of one figure side to the other
Take the like sides of 5 and 12-1/2 compared to sides 10 and x
5 10
_ ____
12-1/2. X
Your dilation (make bigger) ratio from 5 to 10 is 2
So you do the same ratio to 12-1/2
Which gives you the answer of 25
I hope this helps!
how do i multiply 42 x 60 and round to the nearst hunderends
Use the drawing tools to form the correct answer on the graph.
Plot the vertex of f(x) = (x - 2)² +2.
Answer:
Step-by-step explanation:
Comment
You are only asked to draw the figure. You are not asked about anything to do with the standard form. So the drawing you need is below what is written here.
You should notice that the graph is in the shape of a cup that contain a liquid. It has a low point at (2,2) and a y intercept at 6. The y intercept occurs when x = 0.
The low point is reached when (x - 2) = 0. That makes x = 2. If x is anything but 2 something will be added on to the graph and f(x) will larger than 2.
A sequence starts with: 234375, 46875, 9375, 1875...
Find the next 4 terms.
The next 4 terms are 375, 75, 15 and 3
How to determine the next 4 terms?The sequence is given as:
234375, 46875, 9375, 1875...
Notice that the current term of the sequence is 1/5 of the previous term.
So, the next four terms are:
Next 1 = 1/5 * 1875 = 375
Next 2 = 1/5 * 375 = 75
Next 3 = 1/5 * 75 = 15
Next 4 = 1/5 * 15 = 3
Hence, the next 4 terms are 375, 75, 15 and 3
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How many ions that have a 1 charge will bond with an ion that has a –2 charge? one two three four
Answer:
Two Ions will bond.
12. A girl walks 3/4 of the way home in 18 minutes.
At the same rate, she can walk the rest of the
way home in how many minutes?
Given: c= 11 and a = 10 Then the m
Round to the nearest degree. Enter number answer only.
Answer:
65 degrees
Step-by-step explanation:
Relative to angle A, you are given the measure of the opposite side and the hypotenuse of the right triangle. When it comes to right triangles, we know through our trig identities that the sin of an angle is equivalent to the length of the opposite side over the hypotenuse. Therefore, we can use trig to solve this problem:
[tex]sinA=\frac{a}{c}[/tex]
If we sub in the values of a and c which are given to us, we get the following:
[tex]sinA=\frac{10}{11}[/tex]
To solve for A, we can take arcsin(10/11) because arcsin is inverse:
[tex]A=arcsin(\frac{10}{11} )[/tex]
Using a calculator, we get that A is approximately 65 degrees
list the 8 numbers between 4 and 40 in a sequence of 10 numbers a common difference
Answer:
8, 12, 16, 20, 24, 28, 32, 36
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
a₁ is the first term and d the common difference
given a₁ = 4 and a₁₀= 40 , then
4 + 9d = 40 ( subtract 4 from both sides )
9d = 36 ( divide both sides by 9 )
d = 4
add d to each term to obtain the next term
4 + 4 = 8
8 + 4 = 12
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32
32 + 4 = 36
the 8 terms between 4 and 40 are
8, 12, 16, 20, 24, 28, 32, 36
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Answer: 11.44
Step-by-step explanation:
A = a + b / 2h = 8.49 + 16.97 / 2 * 0.9 = 11.44214
Which rounds up to: 11.44
I’m sorry, but i don’t know what it means by give answer in simpflied radical.
planing t Tiger Biscuits factory produce f 10,000 units in Month Standard time per 200 units is 8 hours, the Company pays. Rs 40 per her
If the Company pays. Rs 40 per her. The total cost is Rs 16,000.
Total costFirst step is to calculate the time taken to produce
Time= (10000/200) × 8
Time= 400 hours
Second step is to calculate the total cost
Total cost= 400 × Rs 40
Total cost= Rs 16,000
Therefore the total cost is Rs 16,000.
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please help me i dont understand this
Answer:
20 km rate should 7.76
Step-by-step explanation:
Definitions
The variable rate is the rate for every km.
The fixed rate is what is charged for someone just getting on their bicycle.
Givens
Length of race = 6 km
variable rate = 0.22 / km
fixed rate = x
Total cost = 4.68
Formula
Total cost = fixed rate + variable rate * distance
Solution
4.68 = 6*0.22 + x
4.68 = 1.32 + x Subtract 1.32 from both sides.
4.68 - 1.32 = 1.32 - 1.32 + x Combine
3,36 = x
The fixed rate is 3.36
Before getting the answer to the question asked, we should see if we get the same fixed rate for 24 km
Check
Total Cost = fixed rate + variable rate*distance
Total Cost = 8.64
fixed rate = x
variable rate = 0.22
distance = 24 km
8.64 = x + 0.22 * 24 Combine
8.64 = x + 5,28 Subtract 5.28 from both sides
8.54 - 5,28 = x + 5.28 - 5,28 Combine
3.36 = x which agrees with our first calculation for the fixed rate.
Answer
y = 3.36 + 20*0.22
y = 3.36 + 4.4 Combine
y = 7.76
find the value of x if 7,x and 11 are in A.p.
Answer:
x = 9
Step-by-step explanation:
since the terms are in AP then there is a common difference between consecutive terms, that is
a₂ - a₁ = a₃ - a₂ ( substitute values )
x - 7 = 11 - x ( add x to both sides )
2x - 7 = 11 ( add 7 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Answer:
9
Step-by-step explanation:
The nth term of an AP has the formular
a+ ( n - 1 ) d
a = first term
n = number of terms
d = common difference
common difference d = T2 - T1 0r T3 - T2
d = x - 7 or 11 - x
Therefore,
3rd term
a + (3 - 1)d
a + 2d
Hence,
7 +2d = 11
substitute the value of d above
7 + 2 (x -7) = 11
7 + 2x - 14 = 11
2x = 11 +14 -7
2x = 18
dividing bothsides by 2
x = 18/2
x = 9
which one is the answer
Answer:
B
Step-by-step explanation:
A polynomial cannot have variables raised to negative exponents.
Answer: B
If you give me the correct answer I will give you Brainliest
Answer:
A. [tex]( 8 \times \frac{1}{2} )\frac{1}{3}[/tex]
Explanation:
Associate property of multiplication: a × (b × c) = (a × b) × c
Option A
Shows associate property of multiplication. Does not change final answer.
Option B
The grouping does not change inside the parenthesis.
Option C
This does show associate property but multiplying first 8 × 1/3 is complex.
Option D
Product of this changes the final answer. Not correct.
Which graph represents the solution set of the inequality x+2 less than or equal to 6
The solution to the given inequality expression is x ≤ 4
Graphing inequalitiesInequality are expressions not separated by an equal sign. Given the inequality expression
x + 2 ≤ 6
Find the solution
Subtract 2 fro both sides
x + 2. - 2 ≤ 6 - 2
x ≤ 4
Hence the graph of the solution is given as shown in the attachment
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13 = t/9 + 5 whats the value of t?
Of the songs in Brianna's music library, 1/3 are rock songs. Of the rock songs, 7/10 feature a guitar solo. What fraction of the songs in Brianna's music library are rock songs that feature a guitar solo?
Answer:
7/30 of her music library
Step-by-step explanation:
We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top
and
bottom × bottom
1/3 × 7/10
is 1×7 on top, and
3×10 on the bottom.
= (1×7)/(3×10)
= 7/30
7/30 cannot be simplified, so that is the answer.
What is the LCM of 20 ,8 ,4?
Answer:
Least common multiple (LCM) of 20, 8, 4 is 40.
LCM(20, 8, 4) = 40
A quilt is designed using a square pattern. each square contains two rectangles. each rectangle contains a shaded rhombus. each rectangle contains a shaded rhombus. the left angle is 50 degrees and the top angle is (2 x 20) degrees. what is the value of x?
The value of x=55
The total angle of each diamond is 360 degrees. The opposite angles of the diamond are congruent.
Congruency: In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The two adjacent angles are 2x + 20 degrees and 50 degrees.
Opposite angles measure 2x + 20 and 50 degrees.
The sum of the angles of each rectangle is 360
2x + 20 + 50 + 2x + 20 + 50 = 360
Add the line terms and subtract
4x + 140 = 360
Subtracting140 on both sides:
4x = 2
Divide both sides by 4
x = 55
55 is the correct answer.
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of 36 chemical elements, 2 are named for women scientists and 25 are named for places. what fraction of these 36 elements are named for women or places? show your work.
Answer:
3/4.
Step-by-step explanation:
That would be (2 + 25) / 36
= 27/36
= 3/4.