The degree of the given polynomial [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex] is 9
Explanation :
The given polynomial is [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex]
Degree of the polynomial is the highest exponent value of the terms . To find out highest exponent , we add the exponents of each term
[tex]5pq^2----> 1+2=3\\-3p^6--->6\\+5p^6q^3--->6+3=9\\-6p^3q^5---> 3+5=8[/tex]
From this we can see that the highest exponent is 9.
so the degree of the given polynomial is 9
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What sum or difference is equivalent to the following expression 5-3x/5 A 1+3/5 B 1+3x/5 C 1-3x/5 D 25-15x
Answer:
Option C is the answer.
Step-by-step explanation:
The given expression is [tex]\frac{(5-3x)}{5}[/tex]
We solve it further to get the simplified form.
[tex]\frac{(5-3x)}{5}[/tex] = [tex]\frac{5}{5}-\frac{3x}{5}[/tex]
= [tex](1-\frac{3x}{5})[/tex] [Since [tex]\frac{a-b}{a}=\frac{a}{a}-\frac{b}{a}][/tex]
Therefore, option C matches the simplified form of the expression.
When shopping, Lucinda spent $48. If the amount she spent was 15% of her savings, how much savings did she have before she shopped? Explain how you got your answer.
What is the product of 3 2/3 + 14 2/5?
My company charges 10 cents per minute over 5 minutes when using Internet at its store. It also charges a 5 dollar fee for usage. How many minutes can I get with 10 dollars?
In which of these cases is each stamp worth the most?
1. 7 of the same stamp worth a total of $3.15
2. 8 of the same stamp worth a total of $3.20
3. 10 of the same stamp worth a total of $4.10
4. 16 of the same stamp worth a total of $4.80
3.15 /7 = 0.45
3.20/8 = 0.40
4.10/10 = 0.41
4.80/16 = 0.3
Answer is 1. 7 stamps worth 3.15
Answer:
1. 7 stamps for $3.15 → $0.45/stamp
Step-by-step explanation:
Calculate the price per stamp for each scenario:
1)[tex]\frac{3.15}{7}=0.45[/tex]/stamp
2)[tex]\frac{3.20}{8}=0.40[/tex]/stamp
3)[tex]\frac{4.10}{10}=0.41[/tex]/stamp
4)[tex]\frac{4.80}{16}=0.3[/tex]/stamp
Therefore the first scenario of stamps will be the worth the most per stamp, as it has a higher cost than the rest.
What is a correct congruence statement for the triangles shown?
the blue arc is showing that the angle of P & B are congruent, the single blue line shows that PF is congruent to BL
so in order for the triangles to be congruent the letters of the 2nd triangle need to be in the same order as the first
so P = B, F = L, and X = G
So answer would be BLG
I need help with an Algebra question. The question is in the picture. Thank you <3
Jenny divided 1/2 gallon of ketchup equally into 4 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle
HELP. SEE ATTACHED Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3, find the value of the integral from 2 to 5 of 3 times g of x, dx .
The value of the asked integral is 45
What are integrals?An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operation of calculus, the other being differentiation.
Given that, [tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] and [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex]
[tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] _ [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex] = [tex]\int\limits^5_2 {g(x)} \, dx[/tex]
Therefore,
[tex]\int\limits^5_2 {3g(x)} \, dx[/tex]
= [tex]3\int\limits^5_2 {g(x)} \, dx[/tex]
= 3[12-(-3)]
= 3(15) = 45
Hence, the value of the asked integral is 45
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How many seconds should a standard ecg strip be, to use for interpretation?
a. 1 minute
b. 12 seconds
c. 6 seconds
d. 30 seconds?
Parallel slope of 8x+y=11
Answer:
The slope parallel to this line is -8.
Step-by-step explanation:
That's because parallel lines have the same slope. Therefore to find the slope of a parallel line, we must first find the slope of this one. On order to do that, we need to solve for y and then look at the coefficient of x.
8x + y = 11
y = -8x + 11
Therefore, we know the slope to be -8, which means the parallel slope must also be -8.
If each of the numbers in the following data set were multiplied by 18 what would be the new median of the data set 14,20,18,58,71,36
Answer:
Step-by-step explanation:
arranging in ascending order
14,18,20,36,58,71
median=(20+36)/2=56/2=28
new median=28*18=504
Answer:
504
Step-by-step explanation:
Problem page two consecutive integers have a sum of 47 . find the integers
Y=-4x-1 in standard form
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Answer:
The sequence is: -10, -12, -14, -16, -18, -20, -22, -24, -26, and -28.
4y cos(x) find local minimum maximum -g
This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz: Toyota Camry, 33 mpg highway, costs $465.59 plus taxes and fees totaling $553.28. Toyota Prius Hybrid, 48 mpg highway, costs $634.49 plus taxes and fees totaling $804.61. In both cases, you must purchase gasoline, which costs approximately $3.80 per gallon in California.
A rose garden is designed by joining a rectangle and a semicircle, as shown below. the rectangle is 31ft long and 19ft wide. if the gardener wants to build a fence around the garden, how many feet of fence are required? (use the value 3.14 for π , and do not round your answer. be sure to include the correct unit in your answer.)
Write the equation that satisfies the given conditions. The line passes through the two points (3, -1) and (-2, 5). Choices A. 5y = 6x - 23 B. y=-6/5x +13/5 C. y = 4x - 13
To find the linear equation of a line passing through two given points, use the formula for the slope of a line to calculate the slope, then substitute this value, along with one of the given points, into the point-slope form of a line and solve for y.
Explanation:The subject of this question is the formulation of a linear equation, specifically a equation of a line passing through two given points (3, -1) and (-2, 5). The formula used to find the slope (m) of a line between two points is: m = (y2 - y1) / (x2 - x1). Use this formula to calculate the slope using these points(m = (5 - (-1)) / (-2 - 3) = -6/5) .
Next, using the point-slope form of a line, y - y1 = m(x - x1), we substitute m with the calculated slope, and (x1, y1) with one of the given points. (Let's use (3, -1), y - (-1) = -6/5(x - 3) simplifying this gives us the answer: y=-6/5x +13/5. Therefore, the correct answer is choice B: y=-6/5x +13/5.
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PART 2...Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination, etc], and give your answer in the form (x,y).
1.) 7x + 2y = 4
y = -4x + 1
2.) 3x - 4y = 1
-2x + 3y = 1
which value below is not included in the solution set for the inequality statement? x+4≥1/2(x-3)
Answer:
Step-by-step explanation:
-13
In the graph shown, which ordered pair does NOT represent a solution to the graph?
A) (1, 7)
B) (0, 4)
C) (2, –2)
D) (3, –5)
The steps Kalee used to solve the equation –4x + 9 = 2x – 12x + 51 and the properties she used to justify each step are shown. Find and identify each error. Note: There are errors in both the mathematical work and the justifications.
Create your own equation and explain, using complete sentences, how you would solve it. Make sure you include the properties of operations and/or the properties of equality that justify each step in your explanation
The sum of 5 consecutive odd numbers is 145 what is the third number in this sequence
Answer:
29
Step-by-step explanation:
You don't need to know you just need to know the answer and it is 29
Which ratio is equivalent to 24/56?
Find the value of x for which line a is parallel to line b.
What ten times 13 divided by 130, how you solve it
The admission fee at an amusement park is $2.00 for children and $5.60 for adults. On a certain day, 352 people entered the park, and the admission fees collected totaled 1280 dollars. How many children and how many adults were admitted?
Given triangle ABC is congruent to PQR,b= 3v+4 and q=8v-6 find angle b and angle q
You have 4 shirts and 3 pairs of pants. How many different outfits can you make if you need to wear a different shirts and different pants everyday?
Answer:
you multiply 4 by 3 and you get 12 outfits
Step-by-step explanation:
Will give brainliest pls help