Final answer:
The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.
Explanation:
First, let's state the degree and identify the term with the greatest degree.
The polynomial 7x^4 + 5x^2 + x - 9 has a degree of 4. The monomial with the greatest degree is 7x^4. The polynomial 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent (1/x). Polynomials can only have non-negative integer exponents.So, in summary:
1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.
2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.
Help me find out this prom or
Please I will do anything by btntntnthtjtbtjtjtitjtbt yjtntit titbybtititjybt
Answer:
80 percent
Step-by-step explanation:
Answer:
80 percent
Step-by-step explanation:
How do you get 24 using 1, -6, -7, -3
Answer:
24
Step-by-step explanation:
We want to set up an expression involving 1, -6, -7, -3.
-6*-3--7+1
We use BODMAS to simplify:
We multiply to get:
18--7+1
We now add to obtain:
18--6
Note that negative negative gives addition.
Therefore:
18+6
This finally simplifies to:
24
Find the length of the apothem of a regular polygon that has a perimeter of 50 cm.
Answer:
72
Step-by-step explanation:
72 i did the math
write the missing decimal so that each pair adds to 1
2/5 as a decimal and 9/10 as a decimal
Answer:
2/5+0.6=1 and 9/10+0.1=1
Step-by-step explanation:
1-2/5=3/5
3/5=0.6
1-9/10=1/10
1/10=0.1
Suppose you bought supplies for a party. Three rolls of streamers and fifteen party hats cost $30. Later, you bought two rolls of streamers and four party hats for $11. Write and solve a system of equations to determine the cost of streamers and party hats, find their costs.
Final answer:
To determine the cost of streamers and party hats, a system of linear equations is created and solved. The streamers cost $2.50 each, and the party hats cost $1.50 each after solving the system by the elimination method.
Explanation:
To find the cost of streamers and party hats, we need to set up a system of linear equations based on the information provided. Let's denote the price of one roll of streamers as s and the price of one party hat as h.
From the first purchase:
3s + 15h = $30
From the second purchase:
2s + 4h = $11
Now, we'll solve the system using substitution or elimination method. For simplicity, we'll use the elimination method.
First, let's multiply the second equation by 3.75 to match the number of hats in the first equation:
7.5s + 15h = $41.25
Subtract the first equation from this new equation:
7.5s + 15h - (3s + 15h) = $41.25 - $30
4.5s = $11.25
s = $2.50
With the cost of a streamer found, substitute s = $2.50 into the second original equation:
2($2.50) + 4h = $11
$5 + 4h = $11
4h = $6
h = $1.50
Therefore, the cost of one roll of streamers is $2.50 and the cost of one party hat is $1.50.
Final answer:To determine the cost of streamers and party hats, a system of linear equations is created and solved. The streamers cost $2.50 each, and the party hats cost $1.50 each after solving the system by the elimination method.Explanation:To find the cost of streamers and party hats, we need to set up a system of linear equations based on the information provided. Let's denote the price of one roll of streamers as s and the price of one party hat as h.From the first purchase:3s + 15h = $30From the second purchase: 2s + 4h = $11Now, we'll solve the system using substitution or elimination method. For simplicity, we'll use the elimination method.First, let's multiply the second equation by 3.75 to match the number of hats in the first equation:7.5s + 15h = $41.25Subtract the first equation from this new equation:7.5s + 15h - (3s + 15h) = $41.25 - $304.5s = $11.25s = $2.50With the cost of a streamer found, substitute s = $2.50 into the second original equation:2($2.50) + 4h = $11$5 + 4h = $114h = $6 h = $1.50Therefore, the cost of one roll of streamers is $2.50 and the cost of one party hat is $1.
at the movies theater, the clayton family bought 4 fountain drinks and 3 bags of popcorn and paid 22.50. The Hanks family bought 5 fountain drinks and 2 bags of popcorn and paid 23.75. How much is an fountain drink
Answer:
Therefore the price of an foundation drink is $ 3.20(approx).
Step-by-step explanation:
Let the price of one fountain drink be x and one beg of popcorn be y.
The Clayton family bought 4 fountain drinks and 3 begs of popcorn and paid $22.50. The Hanks family bought 5 fountain drinks and 2 begs of popcorn and paid $23.75.
According to the problem,
4x+3y=22.50..............(1)
5x+2y=23.75..............(2)
Equation (1)×5 - Equation (2)×4
20x+15y-(20x+8y)=112.5-91
⇔20x + 15y -20 x-8y=21.5
⇔7y=21.5
⇔y = 3.07
putting the value of y in equation (1)
4x+3×3.07 =22.50
⇔4x=22.50 -9.21
⇔x=3.20
Therefore the price of an foundation drink is $ 3.20(approx).
Using a center of dilation at the origin, Point A with coordinates (-3, 7) is dilated with a scale factor r = 2/3. What are the coordinates of Point A’?
A) (-2, 14/3)
B) (2, -7/3)
C) (-2, 7/3)
D) (3, 14)
Answer:
The co-ordinates of A' is
A) [tex](-2,\frac{14}{3})[/tex]
Step-by-step explanation:
Given point:
(-3,7)
The point is dilated with a scale factor [tex]r=\frac{2}{3}[/tex] with the center of dilation at the origin.
To find the co-ordinates of the dilated point A'.
Solution:
Any point dilated with the center of dilation at the origin with a scalar factor [tex]k[/tex] is given by:
[tex]D(x,y)\rightarrow D(kx,ky)[/tex]
Thus, the point (3,-7) dilated with a scale factor [tex]r=\frac{2}{3}[/tex] with the center of dilation at the origin is given as :
[tex]A(-3,7)\rightarrow A'(\frac{2}{3}\cdot -3,\frac{2}{3}\cdot 7)[/tex]
[tex]A(-3,7)\rightarrow A'(-2,\frac{14}{3})[/tex]
Thus, the co-ordinates of A' is [tex](-2,\frac{14}{3})[/tex].
Timed need answer ASAP
Answer:
6
4 squared= 16
16÷8=2
2×3=6
Answer: the answer is 6
Step-by-step explanation:
What is one expression that equals 1
Answer:
2-x=1
2-1=1
Step-by-step explanation:
1 + 1 - 1 x 1 / 1.
Uses all 4 basic symbols.
Hello ! Do you know the ways of arranging the letters in the word TOY?
Answer:201525
Step-by-step explanation:
In permutations, the order of items matters. The word 'TOY' can be arranged in 6 different ways, calculated using the formula: n!/(n-r)!.
Explanation:The student is asking a mathematical question related to permutations. Permutations refer to the arrangements of items where the order is important. In this instance, the student is interested in arranging the letters in the word 'TOY'. To calculate the number of ways to arrange these letters, we use the formula: n!/(n-r)!. Here, 'n' is the total number of items and 'r' is the number of items to choose and arrange.
Since 'TOY' has three distinct letters, then 'n' would be 3 and 'r' would also be 3. Applied to the formula, this becomes 3!/(3-3)!. Once you calculate this, you get 6. Therefore, there are 6 possible arrangements of the word 'TOY'.
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What is the equation of the line that has a slope of 4 and passes through the point (3,-10)
Answer:
y=4x-22
Step-by-step explanation:
y-y1=m(x-x1)
y-(-10)=4(x-3)
y+10=4x-12
y=4x-12-10
y=4x-22
the three points (3, -5) , (-a+2,3) and (2a+3, 2) lie on the same line. what is a?
Answer:
a = -7/23.
Step-by-step explanation:
For them to lie on the same line the slope of the line joining the first 2 points must equal the slope of the line joining the second and third points.
so (3 - -5) / (-a+2 - 3) = (2 - 3) /[(2a + 3) - (-a + 2)]
8 / (-a - 1) = -1 / (3a + 1) Cross multiply:
-1(-a - 1) = 8(3a + 1)
a + 1 = 24a + 8
-7 = 23a
a = -7/23.
To find the value of a, we can set the slopes between pairs of points equal to each other and solve for a. The value of a is 14/13.
Explanation:To determine the value of a such that the points (3, -5), (-a+2,3), and (2a+3, 2) lie on the same line, we can use the slope formula. The slope between two points (x1, y1) and (x2, y2) is given by the formula: m = (y2 - y1) / (x2 - x1). We'll calculate the slopes for the two pairs of points and set them equal to each other to find a.
Let's start by finding the slope between the first two points: (-a+2, 3) and (3, -5).
The slope is: m1 = (3 - (-5)) / (-a+2 - 3), which simplifies to m1 = 8 / (-a-1).
Next, let's find the slope between the second and third points: (2a+3, 2) and (3, -5).
The slope is: m2 = (2 - (-5)) / (2a+3 - 3), which simplifies to m2 = 7 / (2a).
Setting the two slopes equal to each other, we have: m1 = m2. Plugging in the expressions for m1 and m2, we get: 8 / (-a-1) = 7 / (2a). To solve for a, we'll cross-multiply and simplify the equation.
After simplifying, we find that a = 14/13.
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Explain how to evaluate a + b ÷ c, when a = 1 2/5, b = 2 2/5, and c = 3/4. You do not have to compute the values.
Answer:
The correct answer is: [tex]4\frac{3}{5}[/tex]
Step-by-step explanation:
According to the rule of BODMAS, division is done before addition.
So, in a + b ÷ c, we will first calculate, b ÷ c
Given b = [tex]2\frac{2}{5}[/tex] = [tex]\frac{12}{5}[/tex] , c = [tex]\frac{3}{4}[/tex] .
So, [tex]\frac{b}{c}[/tex] = [tex]\frac{12}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]
So, [tex]\frac{b}{c} = \frac{12}{5} \times\frac{4}{3}[/tex] , as the numerator and denominator gets reversed as division is changed to multiplication.
So, [tex]\frac{b}{c} = \frac{16}{5}[/tex] .
Next the value of a to [tex]\frac{b}{c}[/tex] , where, [tex]a = 1\frac{2}{5} = \frac{7}{5}[/tex], we get,
[tex]\frac{7}{5} +\frac{16}{5} = \frac{23}{5} = 4\frac{3}{5}[/tex].
The monthly revenue, f(x) for the Sweet Treats Ice Cream truck
can be modeled by the function f(x) = 2x^2+ 16x – 20, where x is the number
of months the truck has been in business.
Which statement is true for the situation? ALGEBRA NATION
Answer:
The vertex is (-4, -52), and it represents the minimum for the function.
Step-by-step explanation:
Parallelogram ABCD has coordinates A(-1,10) B(2, -1) C(5,4) and D(-4,5). Find the coordinates of where diagonals AC and BD intersect at. Enter your answers as numbers.
The coordinates of where diagonals AC and BD intersect at O(2,7).
Step-by-step explanation:
We are given coordinates as A(-1,10) and C(5,4).And we know that the diagonals of parallelogram always bisect each other.
Let us consider O is the intersection point among the diagonals AC and BD. So, the point O bisects the line AC into two equal parts, and also it is the mid-point of AC.
We can find point O using the midpoint formula as,
O (x,y) = ([tex]\frac{(x1+x2)}{2}[/tex] , [tex]\frac{(y1+y2)}{2}[/tex])
= ([tex]\frac{(-1+5)}{2}[/tex] , [tex]\frac{(10+4)}{2}[/tex])
= ([tex]\frac{4}{2}[/tex], [tex]\frac{14}{2}[/tex])
= (2,7)
So Diagonals AC and BD intersects at the point O (2,7).
An item costs $310 before tax, and the sales tax is %15.50
What is the sales tax rate? I'll give a ton of points for this one.
Plz answer asap
Cost of item of $ 310 including the sales tax is $358.05.
Convert the percentage rate of sales tax to a decimal by dividing the percentage by 100.
A 15.50% sales tax rate becomes 0.155 when converted to a decimal.
After performing the multiplication, you will get the amount of sales tax that needs to be added to the item's price. So, $310 x 0.155 = $48.05.
Therefore, the total cost of the item after sales tax would be the original price plus the amount of sales tax, which is $310 + $48.05 = $358.05.
Which equation can be used to find V, the volume of the cylinder in cubic inches?
The formula to find the volume of a cylinder is V = hπr², where h is the height of the cylinder and r is the radius of its base.
Explanation:To find V, the volume of a cylinder in cubic inches, we can use the formula V = Ah, where A represents the cross-sectional area of the cylinder and h represents the height or depth of the cylinder. To find the cross-sectional area for a cylinder, the formula A = πr² can be used, where r is the radius of the cylinder's base. Substituting value of A in volume's formula will give V = hπr², which is commonly used formula to find the volume of a cylinder.
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To find the volume of a cylinder in cubic inches, use the formula V = πr²h, where r is the radius of the base of the cylinder and h is the height of the cylinder.
Explanation:The equation for finding the volume V of a cylinder in cubic inches can be derived from the basic principle that the volume of a shape is equal to the area of its base multiplied by its height. For a cylinder, the base is a circle, and the area of a circle is given by the formula πr², where r is the radius of the circle.
Therefore, the volume of the cylinder is the area of its base times its height, which can be written as V = πr²h, where h is the height of the cylinder. By using this formula, you can calculate the volume of a cylinder if you know the radius of its base and its height.
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what is the square of half of a number is 32?
Answer:
16
Step-by-step explanation:
Which equation is equivalent to 2x + 10 = 6?
A) 2x = 4
B) x + 5 = 3
C) x + 10 = 3
D) 2x + 6 = 10
Answer:
B
Step-by-step explanation:
Given
2x + 10 = 6 ( divide all 3 terms by 2 )
x + 5 = 3 ← equivalent equation
The equation which is equivalent to 2x + 10 = 6 from the given options is x + 5 = 3.
Which of the given equations is equivalent to 2x + 10 = 6?Given the equation in the question:
2x + 10 = 6
Options:
A) 2x = 4
B) x + 5 = 3
C) x + 10 = 3
D) 2x + 6 = 10
To find the equation that is equivalent to 2x + 10 = 6, we check each of the options.
For A) 2x = 4
2x + 10 = 6
2x = 6 - 10
2x = -4
Option A is wrong.
For B) x + 5 = 3
2x + 10 = 6
Divide each term by 2:
2x/2 + 10/2 = 6/2
x + 5 = 3
Option B is correct.
For C) x + 10 = 3
2x + 10 = 6
Divide each term by 2:
2x/2 + 10/2 = 6/2
x + 5 = 3
Option C is wrong.
For D) 2x + 6 = 10
2x + 10 = 6
Subtract 6 and 10 from both sides:
2x + 10 - 10 - 6 = 6 - 6 - 10
2x - 6 = -10
Option D is wrong.
Therefore, x + 5 = 3 is equivalent to the equation.
Option B) x + 5 = 3 is the correct answer.
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Pls help ASAP .....................
Answer:
530.66 cm^2
Step-by-step explanation:
[tex]area \: of \: circle = \pi{r}^{2} [/tex]
Using the above formula,
Area of plate= 3.14(13)^2 = 530.66 cm^2
(I replaced pi with 3.14 since the question said to use 3.14 for pi)
Answer:
the area of a circle
[tex] \pi{r}^{2} [/tex]π= 3.14
r=13
3.14*13²3.14*169530.66cm²A football field is 120 yards long by 53 yards wide. What is the total area
Answer:
6360
Step-by-step explanation:
the steps is just 120 times 53 which equals 6360. area= length multiplied by width
The area of a football field that is 120 yards long and 53 yards wide is 98,304,000 square inches.
To calculate the total area of a football field that is 120 yards long and 53 yards wide, you can use the formula for the area of a rectangle, which is length× width.
Step 1: Identify the dimensions of the field. The football field is 120 yards long and 53 yards wide
Step 2: Convert the dimensions into a consistent unit of measure, such as feet. Since there are 3 feet in a yard, multiply each dimension by 3.
Length in feet: 120 yards× 3 feet/yard = 360 feet
Width in feet: 53 yards × 3 feet/yard = 159 feet
Step 3: Calculate the area in feet. Area = Length × Width.
Area = 360 feet × 159 feet = 57,240 square feet
Step 4: To get the area in square inches, recognize that there are 12 inches in a foot, so the area in square inch\
es is:
Area in square inches = 57,240 ft²× (12 inches/foot)² = 98,304,000 square inches.
This calculation shows that the total area of the football field is approximately 98,304,000 square inches.
Help!! Marking branniest
Basically, we are trying to find the equation that goes through the two points shown in the table. The points are: (5,30) and (10,55). The equation of a line is y=my+b where m is the slope and b is the y intercept. To find slope look for the change in y over the change in x.
Slope = (55-30)/(10-5)=5
We can stop here because the only answer choice with a slope of five is choice A.
Answer: A
Jane has 15 phone cards worth either $20 or $15. How many of each does she have if the phone cards total $245?
The correct answer is 12
Hope this helped!
Jane has 4 number of 20 phones and 11 number of 15 phone cards.
It is given that 15 phone cards worth either $20 or $15
lets Jane has x number of 20 phones and y number of 15 phone cards
Then by the problem we have
x+y=15....(1)
20x+15y=245....(2)
What is the substitution method for linear equation?Solve one of the equations either for the variable x or y. Now, substitute the solution from step 1 to the other equation.
So by using substitution method we have,
from equation 1 we get
y=15-x
use this value in equation 2
[tex]20x+15(15-x)=245\\\\20x+225-15x=245\\\\5x+225=245[/tex]
[tex]5x=20\\x=4\\y=15-4\\y=11[/tex]
Therefore we get x=4 and y=11
Therefore,Jane has 4 number of 20 phones and 11 number of 15 phone cards.
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Solve The inequality
-p-4p>-10
-p - 4p > -10
-5p > -10
p < 2
Hope this helps! ;)
fyf inch d yr xdr thg f iij fuh ft.
Answer:
next time please ask a real question
Thanks
Step-by-step explanation:
The question appears to explore historical texts or languages, likely suited for college-level English or History studies, focusing on linguistics, manuscript studies, or medieval literature.
Explanation:Given the fragments provided, it's challenging to decipher a coherent question or subject matter directly. However, the content suggests a possible exploration of historical texts or languages, particularly those relevant to English or linguistics studies at the college level.
Understanding or translating ancient or cryptic texts can be a significant part of higher education in English, where students might delve into Old English literature, manuscripts, or historical documents.
The various fragments hint at texts that might be from different periods or contexts, suggesting a study that spans a range of historical documents, potentially requiring translation or interpretation skills. Such a task would be well-suited for college-level English or History students focusing on linguistics, manuscript studies, or medieval literature.
What is the slope of line a?
3/4
-4/3
-3/4
4/3
Answer:
The correct slope is 3/4
Step-by-step explanation:
If we take (0,1) and (4,4) as our points, we find (4-1)/(4-0)=3/4
Hope this helped!
What is eight more than the number of children is 24 as a word equation
Answer:
Eight plus twenty four equals thirty two
have an amazing day! (❁´◡`❁)
Step-by-step explanation:
The word equation for "eight more than the number of children is 24" can be written as:
Number of children + 8 = 24
Let's break it down step by step:
1. Identify the unknown: The unknown in this equation is the number of children. Let's represent it as "x".
2. Translate "eight more than the number of children" into mathematical language: "Eight more than" means adding 8 to the number of children.
3. Write the equation: The equation becomes x + 8 = 24.
To find the value of x, we need to isolate it on one side of the equation. We can do this by subtracting 8 from both sides:
x + 8 - 8 = 24 - 8
Simplifying further:
x = 16
Therefore, the number of children is 16.
It's important to note that the word equation can be translated into different mathematical expressions. For example, another way to represent "eight more than the number of children is 24" would be:
Number of children = 24 - 8
This equation would also yield the same answer: 16.
Remember, word equations help us represent real-life situations in mathematical form, allowing us to solve problems and find solutions.
Write 2/5 and 1/3 as an equivalent fraction using a common denominator
Answer:
Step-by-step explanation:
2/5=6/15
1/3=5/15
Answer:
6/15 and 5/15
Step-by-step explanation:
multiply 2/5 by 3 and 1/3 by 5
What is the circumference of circle P?
Express your answer in terms of π.
The circumference of circle P is 6π ft. This corresponds to option (b) in the choices provided.
Understanding the Problem: The problem provides the length of the line segment PA, which is considered the radius of circle P.
Circumference Formula: The circumference of a circle is the distance around its edge. The formula to calculate it is C = 2πr, where C is the circumference and r is the radius.
Identifying the Radius: In this problem, PA is given as 3 ft. This represents the radius of circle P.
Substituting Values into the Formula: We substitute the given radius into the circumference formula:
C = 2π ˣ 3 ft
Calculating: We perform the multiplication to find the circumference:
C = 6π ft
Complete Question:
What is the circumference of circle P?
PA = 3 ft
Express your answer in terms of π.
a. 3π ft
b. 6π ft
c. 12π ft
d. 24π ft
How do you solve the problem 4 2/3×13 using common core math