Answer:
1. 21x⁴+3y-35x² + 41
2. -21x⁴-3y+6x² + x
Step-by-step explanation:
When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.
1. The polynomial is 21x⁴ + 3y -6x² + 34
To obtain polynomial 29x² -7 , we must subtract some polynomial from it.
Let that polynomial be k.
So, 21x⁴ + 3y -6x² + 34 - k = 29x² -7
k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41
2. To obtain a first degree polynomial, let that polynomial be x +34
So, 21x⁴ + 3y - 6x² + 34 + K = x + 34
K = x + 34 - 21x⁴ -3y + 6x² - 34
= -21x⁴ - 3y + 6x² + x
Rename 6 3/4 as an equivalent mixed number with a larger fraction part . Plz help me
Answer:
[tex]\frac{27}{4}[/tex]
Step-by-step explanation:
To do this, we must find a common denominator for each of these. This means we must do this
[tex]6*\frac{4}{4} =\frac{24}{4}[/tex]
Next we can add them
[tex]\frac{24}{4} +\frac{3}{4} =\frac{27}{4}[/tex]
Answer:
Step-by-step explanation:
Starting with 6 3/4, we could write 5 + 1 + 3/4, or 5 7/4.
This 5 7/4 is identical to 6 3/4, but the fractional part 7/4 is larger than the fractional part 3/4.
Putting recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?
A.12 B.8 C.13 1/2 D.10 2/3
Answer:
C
Step-by-step explanation:
First, write 4 ½ in improper form. 2 × 4 + 1 = 9. So the fraction is 9/2.
Now divide:
9/2 ÷ 1/3
To divide by a fraction, multiply by the reciprocal:
9/2 × 3/1
27/2
13 1/2
Answer C.
30 POINTS AVAILABLE
For circle K and circle L, Segment J M is a common internal tangent. If JK = 3, LM = 9 and JM = 20, find KL. Show all work.
Answer:
Step-by-step explanation:
Triangles JKN MLN are similar.
There is a right angle at J and M. <JNK and <MNL are vertically opposite. By AA the triangles are similar.
Find JN
JK = 3
LM = 9
JK/LM = JN/(20 - JN)
3/9 = JN/(20 - JN)
1/3 = JN/(20 - JN)
20 - JN = 3JN
20 = 4JN
JN = 5
NM = 20 - 5
NM = 15
Find KN
KN^2 = JN^2 + JK^2
JK = 3
JN = 5
KN = ?
KN^2 = JK^2 + JN^2
KN^2 = 3^2 + 5^2
KN^2 = 34
KN = sqrt(34)
=============
Find LN
LN = ?
MN = 15
LM = 9
LN = sqrt(15^2 + 9^2)
LN = sqrt(306)
LN = 3*sqrt(34)
Find LK
LK = sqrt(34) + 3sqrt(34)
LK = 4 sqrt(34)
Which points are on the plane curve described by the following set of parametric equations? Select TWO
X = 4t + 3 and Y = 5t^2
Answer Choices:
(-1 , -5)
(-1 , 5)
(1 , 7)
(2 , 11)
(7 , 5)
ANSWER
(-1,5)
(7,5)
EXPLANATION
The given set of parametric equations is:
[tex]x = 4t + 3[/tex]
and
[tex]y = 5 {t}^{2} [/tex]
We make t the subject in the first equation to get:
[tex]t = \frac{x - 3}{4} [/tex]
We put this into the second equation to get;
[tex]y =5( \frac{x - 3}{4} )^{2} [/tex]
When x=-1,
[tex]y =5( \frac{ - 1- 3}{4} )^{2} = 5[/tex]
Therefore (-1,5) lies on this line.
When x=7,
[tex]y =5( \frac{7 - 3}{4} )^{2} = 5[/tex]
Therefore (7,5) also lie on this line.
can someone please help me with these two questions pleasee
Answer:
7. 62.8 sq.in.8. 21.2 sq.in.Step-by-step explanation:
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{1}{2}ab\sin\theta[/tex]
a, b - adjacent sides
θ - included angle
=============================================
7.
a = 9in, b = 14in, θ = 85°
sin85° ≈ 0.9962
Substitute:
[tex]A_\triangle=\dfrac{1}{2}(9)(14)\sin85^o=\dfrac{1}{2}(126)(0.9962)\approx62.8 in^2[/tex]
8.
a = 12 in, b = 5 in, θ = 135°
sin135° = sin(180° - 45°) = sin45° ≈ 0.7071 used sin(180° - x) = sin(x)
Substitute:
[tex]A_\triangle=\dfrac{1}{2}(12)(5)\sin135^o=\dfrac{1}{2}(60)(0.7071)\approx21.2\ in^2[/tex]
What is the remainder when 2 is synthetically divided into the polynomial -3x2 + 7x - 9?
Answer:
-7
Step-by-step explanation:
When you divide a polynomial f(x) by (x-c), the remainder r will be f(c).
hence you will get the remainder by putting the 2 as value of x:
f(x) = -3x² + 7x - 9
f(2) = -3(2)² +7(2) - 9
= -3(4) + 14 - 9
= -12 + 5
remainder = -7
Final answer:
When substituting x with 2 in the polynomial -3x² + 7x - 9, you simply evaluate it directly. The calculation gives -3(2²) + 7(2) - 9, resulting in a remainder of -7.
Explanation:
To find the remainder when a polynomial is divided by a monomial like x - 2, you can use synthetic division. However, you have asked about the division of -3x² + 7x - 9 by 2, which is actually a simple polynomial evaluation, not a division problem. We will substitute x with 2 in the polynomial and find the remainder.
The polynomial is -3x² + 7x - 9. To find the remainder when we substitute x = 2, we evaluate the polynomial:
-3(2)2 + 7(2) - 9 = -3(4) + 14 - 9 = -12 + 14 - 9 = 2 - 9 = -7.
Therefore, the remainder when 2 is substituted into the polynomial -3x² + 7x - 9 is -7.
What is the common ratio of the sequence below?
Answer:
1/4 , B
Step-by-step explanation:
This is because it is being kept on multiplying by 1/4 for each pattern.
Answer:
B) 1/4
Step-by-step explanation:
right on edu.
A skier is trying to decide whether or not to buy a season ski pass. a daily pass cost $78. a season ski pass cost $300 the skier would have to rent skis with either pass for $25 per day.how many days will the skier have to go skiing in order to make the season pass less expensive than the day pass?
Answer:
The skier would have to to go 4 times for the season pass to be cheaper than the day stump.
Step-by-step explanation:
This is because the day pass is $103, including ski rentals. $103 times 4 is 412. Then I have to find out what the cost is for 4 ski rentals, which is 25 times 4. That means that 4 ski rentals are $100. Then I add that to the $300, and that is $400. So therefore, the season pass is cheaper after 4 times of going skiing.
Chuck can afford a $490-per-month car payment, and he's interested in either
a convertible, which costs $28,700, or a sports car, which costs $29,200. If he
is being offered a 6-year car loan with an APR of 6%, compounded monthly
which car can Chuck afford?
A. Chuck can afford the sports car but not the convertible
B. Chuck can afford neither the convertible nor the sports car
C. Chuck can afford the convertible but not the sports car
D. Chuck can afford both the convertible and the sports car
Answer:
Option D is correct.
Step-by-step explanation:
EMI formula is :
[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]
Calculation for convertible car:
p = $28700
r = 6/12/100=0.005
n = [tex]6\times12=72[/tex] months
Putting the values in formula we get
[tex]\frac{28700*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
= $475.67
Calculation for sports car:
p = 29200
r = 6/12/100=0.005
n = [tex]6\times12=72[/tex] months
Putting the values in formula we get
[tex]\frac{29200*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
= $483.96
We can see that in both cases the EMI is below $490.
As Chuck can afford a $490-per-month car payment. So, he can afford both cars. (one car out of both)
Therefore, option D is correct. Chuck can afford both the convertible and the sports car.
show how the following sequences is an arithmetic or not
please help me
Answer:
not arithmetic
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Given
[tex]T_{n}[/tex] = 2n² - 1
Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence
[tex]T_{1}[/tex] = 2(1)² - 1 = 2 - 1 = 1
[tex]T_{2}[/tex] = 2(2)² - 1 = 8 - 1 = 7
[tex]T_{3}[/tex] = 2(3)² - 1 = 18 - 1 = 17
[tex]T_{4}[/tex] = 2(4)² - 1 = 32 - 1 = 31
check the difference between consecutive terms
7 - 1 = 6
17 - 7 = 10
31 - 17 = 14
The differences are not common hence not an arithmetic sequence
Please help and thank you
Answer:
C. or D. I would say D though.
Step-by-step explanation:
All you have to do is look at the total with both children and adults, then you can take that and divide it by the total of either children or adults and then you would get the answer D.
Answer: B
Step-by-step explanation:
What is the range for this set of data? 38, 17, 55, 40
Answer:
38.
Step-by-step explanation:
range is taking the highest number subtracting it by the smallest
Answer:
the answer is 38
Step-by-step explanation:
you subtract the biggest number with smallest number
simplify polynomial 2x^2+6x-7x+8-3x^2+1
Answer: [tex]-x^2-x+9[/tex]
Step-by-step explanation:
To simplify the given polynomial [tex]2x^2+6x-7x+8-3x^2+1[/tex] we need to add the like terms. Then we get:
[tex]2x^2+6x-7x+8-3x^2+1=(2x^2-3x^2)+(6x-7x)+(8+1)=-x^2-x+9[/tex]
Therefore, we get that the polynomial simplified is:
[tex]-x^2-x+9[/tex]
Which is a trinomial ( A polynomial that has three terms) of degree 2 (Because the highest exponent is 2).
Answer:
Final answer is [tex]-x^2-x+9[/tex].
Step-by-step explanation:
Given polynomial is [tex]2x^2+6x-7x+8-3x^2+1[/tex].
Now we need to simplify the given polynomial so we can begin with combining like terms.
[tex]2x^2+6x-7x+8-3x^2+1[/tex]
[tex]=2x^2-3x^2+6x-7x+8+1[/tex]
[tex]=(2-3)x^2+(6-7)x+(8+1)[/tex]
[tex]=(-1)x^2+(-1)x+(9)[/tex]
[tex]=-x^2-x+9[/tex]
Hence final answer is [tex]-x^2-x+9[/tex].
Which statement best describes the association between
variable X and variable Y?
A.There is a strong negative association.
B.There is a weak negative association.
C.There is a strong positive association.
D.There is a weak positive association.
E.There is no linear association.
Answer:
b
Step-by-step explanation:
Answer:
B.There is a weak negative association.
Step-by-step explanation:
find the number of moles in 15 grams if silver
Answer:0.139 moles
Step-by-step explanation:
moles =[tex]\frac{mass}{Mr}[/tex]
NOTE: molecular mass of silver is 107.8682
n= [tex]\frac{15}{107.8682}[/tex]
this will give you the final answer of
n= 0.139 moles OR 0.14 moles
Final answer:
To find the number of moles in 15 grams of silver, divide the mass by the molar mass of silver (107.87 g/mol). The result is approximately 0.139 moles of silver.
Explanation:
To find the number of moles in 15 grams of silver, we can use the molar mass of silver. First, the molar mass of silver (Ag) is 107.87 grams per mole, which is the mass of one mole of silver.
We can calculate the number of moles of silver using the formula:
Number of moles = Mass of the substance (in grams) / Molar mass of the substance (in grams per mole)
So, for silver:
Number of moles = 15 grams / 107.87 grams/mole
When we perform this calculation:
Number of moles = 0.139 moles (rounded to three decimal places)
Therefore, there are approximately 0.139 moles of silver in 15 grams of the metal.
Which line is represented by the function f(x)=3x+5?
Answer:
Line x is represented by the function f(x)=3x + 5
Step-by-step explanation:
f(x)=3x+5; y -intercept = 5
When x = 0, y = 3(0) + 5 = 5
When x = - 2, y = 3(-2) + 5 = -1
So the coordinate points (0,5) and (-2, 1)
Look at the second line (x), it has the y-intercept at 5 and matching those 2 coordinate points above.
So answer is the second line (x)
Hello there! It is the second line, line X.
The equation asks which line is represented by the given equation, f(x)=3x+5. Well, since the equation is in y-intercept form, y = mx + b, we know m is the slope, so the slope is 3, and b is the y intercept, so they intercept is 5.
If any of the lines on the graph intersect at (0,5), or through the y axis at 5, they have a y intercept of 5 and could potentially be the correct answer. There is only one lune that does this, line x, making this the answer.
I hope this was helpful and have a great rest of your day!
There is 1 red gumdrop and 4 green gumdrops in a small jar. Also, 1 piece of butterscotch candy and 4 pieces of cinnamon candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will get a green gumdrop and a piece of butterscotch candy?
A. 4 / 25
B. 1 / 5
C. 1 / 2
D. 8 / 25
The probability that Craig will get a green gumdrop and a piece of butterscotch candy is 4/25.
To find the probability that Craig will get a green gumdrop and a piece of butterscotch candy, we need to calculate the probability of each event happening separately and then multiply those probabilities together.
There are 5 gumdrops in the first jar with 4 being green, so the probability of choosing a green gumdrop is 4/5. In the other jar, there are 5 pieces of candy with 1 being butterscotch, so the probability of choosing a butterscotch candy is 1/5. Multiplying these probabilities together gives us 4/5 × 1/5 = 4/25.
Describe the overall shape of this distribution. Explain your answer.
Answer:
Step-by-step explanation:
This distribution is "unimodal" and "skewed right."
Answer:
Yoooo, I think we go to the same school! And the other person is correct
Step-by-step explanation:
What is the place value of the 5 in 6.857 ?
Answer: Hm i'm pretty sure that is hunderdths...
Step-by-step explanation:
The place value of 5 in 6.857 is (1/100)th
What is the place value of a number?A digit's numerical value as a result of its position in a number.
What are the place values in decimals?1st decimal place - (1/10)th
2nd decimal place - (1/100)th
3rd decimal place - (1/1000)th
In 6.857, 5 is lying at the second decimal position, hence has the place value of (1/100)th .
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If after a 7% tax and a 25% tip, the cost of a $115 dinner will be split among four people, how much does each person owe? Round your answer to the nearest cent.
Plz help me with this
Answer:
y = 4 cosx
Step-by-step explanation:
The standard form of cosine is
y = acos(bx)
where amplitude = | a |
with maximum value a and minimum value - a
The only expression in this form is
y = 4cosx
Answer:
y = 4 cosx
Step-by-step explanation:
The sum of two binomials and the other one
Answer:
2x² - 4x
Step-by-step explanation:
Subtract the known binomial from the sum to obtain the other binomial
5x² - 6x - (3x² - 2x)
= 5x² - 6x - 3x² + 2x
= 2x² - 4x ← the other binomial
1. What is the value of x? Show all of your work.
Answer:
The value of x is x
Step-by-step explanation:
Answer: x = 5
Step-by-step explanation:
need help also if you can can you do it step-by-step explanation please thank you 3(c + 8) = 28
Answer:
c = 4/3
Step-by-step explanation:
3(c + 8) = 28
Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]
3(c + 8) = 28
3c + 24 = 28
To find the value of c, you must have c alone on one side, so subtract 24 from both sides
3c + 24 = 28
3c = 4
Now, divide by 3 to both sides to get your answer
3c = 4
c = 4/3
Therefore, the answer is 4/3!
I hope this helps! :)
3 (c + 8) = 28
3 x c = 3c
3 x 8 = 24
3c + 24 = 28
3c + 24 - 24 = 28 - 24
3c = 4
3c/3 = 4/3
C = 4/3
If a drug's recommended dose is 5 mg/kg, and a solution contains a concentration of 2 mg/mL of the drug, what volume of the solution should be given to a cat that weighs 8 lb.?
A. 20 mL
B. 90 mL
C. 2 mL
D. 9 mL
The answer would be....:B.90 ML
The volume of the solution should be given to a cat that weighs 8 lbs. is 9 ml. Thus, the correct option is D.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The weight of the cat is 8 lbs. Therefore, the weight of the cat in kg will be,
Weight of cat = 8 lbs = (8×0.454) kgs = 3.632 kgs
Since for one kg, the recommended dose is 5 mg, therefore, the recommended dose for the cat will be,
Recommended dose for cat = 3.632kg × 5 = 18.16 mg
Now, as given that one ml of solution contains 2mg of drugs, therefore,
1 ml = 2mg
1 mg = 1/2 ml
18.16 mg = 18.16 × 1/2 = 9.08ml ≈ 9 ml
Hence, the volume of the solution should be given to a cat that weighs 8 lbs. is 9 ml. Thus, the correct option is D.
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Anybody understand this I am really confused..
Answer:
Step-by-step explanation:
The volume of a cone is
V = (1/3) * pi * r^2 * h
pi = 3.14
r = 3
h = 8
V = 1/3 * 3.14 * 3^2 * 8
V = 1/3 * 3.14 * 9 * 8
V = 75.36
V = 75.4
What is 5482.7+6978+h=12434.7
solve for h please
Answer: 26
Step-by-step explanation:
Add all together and the subtract by 12434.7 and you get 26 hope this helps!
If the graph f(x)= 9x^2+37x+41/3x+5 has an oblique asymptote at y=3x+k what is the value of k
The value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.
To find the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5), where f(x) has an oblique asymptote at y = 3x + k, we need to determine the relationship between the numerator and denominator as x approaches infinity.
To do this, we can perform polynomial division. Divide the numerator (9x^2 + 37x + 41) by the denominator (3x + 5). The result should give us the oblique asymptote equation y = 3x + k.
Performing polynomial division:
3x + 5 ) 9x^2 + 37x + 41
- (9x^2 + 15x)
----------------------
22x + 41
The result of the division is 22x + 41.
Therefore, the oblique asymptote equation y = 3x + k becomes y = 22x + 41.
Comparing this equation to y = 3x + k, we can see that the value of k is 41.
So, the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.
Lots of points. Will mark Brainliest. Answer ASAP! A 4-digit number ends in 3. If you put the number 3 in the first position, the number will decrease by 738. Find the original 4-digit number.
Answer:
Number: 4153
Step-by-step explanation:
4153 - 738 = 3415
as we know the resulting number starts with 3 and is a 4 digit number so we fix 4 in the thousands position of original number. Subsequently we fix 4 in the hundredth position of the number after subtraction from 738
4_ _ 3 - 738 = 34_ _
now we have a 2 empty spaces and 9 number to choose from, start from the lowest .
4 1 0 3 - 738 = 3365 , 4 has to be in the hundredth position
we increment the middle numbers by four and then by 1 until we get our answer
4 1 4 3 - 738 = 3 4 0 5
4 1 5 3 - 738 = 3 4 1 5 --------- Answer
Shannon and Leslie want to carpet a 16 1/2ft by 16 1/2ft square room. They can't put carpet under an entertainment system that juts out.
A. In square feet what is the area of the space with no carpet?
B. how many square feet of carpet will Shannon and Leslie need to buy?
A. 272 1/4 ft
B. 68 5/8 ft
Hope this helps!
Shannon and Leslie need to carpet 272.25 square feet in a room with an entertainment system that takes up 12.25 square feet. Therefore, they need to buy 12.25 square feet of carpet.
Shannon and Leslie are planning to carpet a square room that measures 16.5 feet by 16.5 feet. However, they need to account for an entertainment system that juts out into the room, taking up 3.5 feet by 3.5 feet of space.
A. Area of the space with no carpet:
To determine the area of the space with no carpet, we first calculate the area of the entertainment system:
Area of entertainment system = 3.5 feet * 3.5 feet = 12.25 square feet
Next, we subtract the area of the entertainment system from the total area of the room:
Total area of room - area of entertainment system = area of space with no carpet
272.25 square feet - 12.25 square feet = 260 square feet
Therefore, the area of the space with no carpet is 260 square feet.
B. Carpet needed for the room:
To calculate the amount of carpet Shannon and Leslie need to buy, we simply subtract the area of the space with no carpet from the total area of the room:
Total area of room - area of space with no carpet = area of carpet needed
272.25 square feet - 260 square feet = 12.25 square feet
Shannon and Leslie need to buy 12.25 square feet of carpet.