Answer:
6
Step-by-step explanation:
Adding the two polynomials gives
(x^3 + 3x^2 + 4x - 7) + (-7x^4 +5x^3 + x^2 - 7) =
-7x^4 + (x^3 + 5x^3) + (3x^2 + x^2) + 4x + (-7-7) =
- 7x^4 + 6x^3 + 4x^2 + 4x -14
The x^3 term is 6x^3, so the desired coefficient is 6.
Which expression is equivalent to 64y18 – 1000z6?
Answer:
8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
Step-by-step explanation:
64y¹⁸ – 1000z⁶ = 8 * (8y¹⁸ - 125z⁶) = 8 * ((2y⁶)³ - (5z²)³)
= 8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?
Answer:
P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.
Step-by-step explanation:
Find the area of the rectangle
Answer:
40 mi
Step-by-step explanation:
area= width*length
Answer:
40 mi
Step-by-step explanation:
probally a jok e
[tex]A=l*w[/tex]
[tex]A = 5*8[/tex]
[tex]A=40[/tex]
Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.
Let c be a positive number. A differential equation of the form dy/dt=ky^1+c where k is a positive constant, is called a doomsday equation because the exponent in the expression ky^1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term My^1.01. If 2 such rabbits breed initially and the warren has 16 rabbits after three months, then when is doomsday?
Answer:
The doomsday is 146 days
Step-by-step explanation:
Given
[tex]\frac{dy}{dt} = ky^{1 +c}[/tex]
First, we calculate the solution that satisfies the initial solution
Multiply both sides by
[tex]\frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dt}{y^{1+c}} * \frac{dy}{dt} = ky^{1 +c} * \frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dy}{y^{1+c}} = k\ dt[/tex]
Take integral of both sides
[tex]\int \frac{dy}{y^{1+c}} = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = k\int\ dt[/tex]
Integrate
[tex]\frac{y^{-1-c+1}}{-1-c+1} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
To find c; let t= 0
[tex]-\frac{y_0^{-c}}{c} = k*0+C[/tex]
[tex]-\frac{y_0^{-c}}{c} = C[/tex]
[tex]C =-\frac{y_0^{-c}}{c}[/tex]
Substitute [tex]C =-\frac{y_0^{-c}}{c}[/tex] in [tex]-\frac{y^{-c}}{c} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt-\frac{y_0^{-c}}{c}[/tex]
Multiply through by -c
[tex]y^{-c} = -ckt+y_0^{-c}[/tex]
Take exponents of [tex]-c^{-1[/tex]
[tex]y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
i.e.
[tex]y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
Next:
[tex]t= 3[/tex] i.e. 3 months
[tex]y_0 = 2[/tex] --- initial number of breeds
So, we have:
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
-----------------------------------------------------------------------------
We have the growth term to be: [tex]ky^{1.01}[/tex]
This implies that:
[tex]ky^{1.01} = ky^{1+c}[/tex]
By comparison:
[tex]1.01 = 1 + c[/tex]
[tex]c = 1.01 - 1 = 0.01[/tex]
[tex]y(3) = 16[/tex] --- 16 rabbits after 3 months:
-----------------------------------------------------------------------------
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
[tex]16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}[/tex]
[tex]16 = [-0.03 * k + 2^{-0.01}]^{-100}[/tex]
[tex]16 = [-0.03 k + 0.9931]^{-100}[/tex]
Take -1/100th root of both sides
[tex]16^{-1/100} = -0.03k + 0.9931[/tex]
[tex]0.9727 = -0.03k + 0.9931[/tex]
[tex]0.03k= - 0.9727 + 0.9931[/tex]
[tex]0.03k= 0.0204[/tex]
[tex]k= \frac{0.0204}{0.03}[/tex]
[tex]k= 0.68[/tex]
Recall that:
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
This implies that:
[tex]\frac{y_0^{-c}}{c} = kT[/tex]
Make T the subject
[tex]T = \frac{y_0^{-c}}{kc}[/tex]
Substitute: [tex]k= 0.68[/tex], [tex]c = 0.01[/tex] and [tex]y_0 = 2[/tex]
[tex]T = \frac{2^{-0.01}}{0.68 * 0.01}[/tex]
[tex]T = \frac{2^{-0.01}}{0.0068}[/tex]
[tex]T = \frac{0.9931}{0.0068}[/tex]
[tex]T = 146.04[/tex]
The doomsday is 146 days
Last one I need help in will give BRAINLY (don’t send me links)
Answer:
x=11
Step-by-step explanation:
4x+11=5x (angle adb and edf are the same)
11=5x-4x
11=x
x=11
if you want you can check by doing...
(14*11-29)+(5*11)=180
HELP ME PLSSSSSSSSSSS IF I FAIL I M Screwed
Answer:
41
Step-by-step explanation:
find the volume of a right circular cone that has a height of 4.2 m and a base with a radius of 3.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer: 50.8
Step-by-step explanation:
The volume of the given cone is 50.8 m³.
What is cone?A cone is a shape created by connecting all the points of a circular base (which does not contain the apex) to a common point known as the apex or vertex using a series of line segments or lines.
Given that,
Height = h = 4.2 m
Radius of base = r = 3.4 mm
Since we know that,
volume of cone = πr²h/3
now put the values
we get,
volume of cone = π(3.4)²(4.2)/3
= 50.8 square m
Hence,
The volume = 50.8 m³
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PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
Answer: Find the volume of cone, whose radius is 8 cm and height is 5 cm. Thus, the volume of the cone is 334.93 cm3.
Answer:
251.33cm^3
Step-by-step explanation: Use the formula V= π • (d/2)^2 • H
HOPEFULLY THIS HELPS
4. What is the slope of the graph of x – 2y = 8?
Answer:
The slope is 1/2
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m
Hope this helps:)
Guys what will be the population in five years.
I don’t know what i did wrong please help
Answer:
4990
Step-by-step explanation:
Multiply 638 by 5 then add 1800 and that's your answer
Answer:
4990
Step-by-step explanation:
638 x 5 = 3190
There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).
Hope this helps!
Yours Truel, TheAnimeCatUwU
Helps please is for nooooowwwww
Answer:
The correct answer is the tor mar nada tor buda tor buni ami chai
what is the answer in fraction form: 2(1/3+1/4)
Answer:
7/6 or 1*1/6
Step-by-step explanation:
Answer:
the answer is in the picture
Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%
Answer:
1. 1/2
2. 99/100
3. 3/20
4. 2
I only need an equation for this. Plz help me
Find the area of a room that is 8-feet-wide and 9-feet-long.
Step-by-step explanation:
Area = l × b
= 9ft × 8ft
= 72ft²
Answer:
72 feet
Step-by-step explanation:
8 (length) • 9 (width) = 72 sq ft
What does ''a over 3'' or a/3 mean?
Step-by-step explanation:
It means "a divided by 3". You need to divide a by 3. You can also write it as "1/3a".
Answer:
the answer is above me or below me
please help me i only have 30 mins to an hour to finish
Answer:
D. 105 students
Step-by-step explantation: 11+10+21+6+2=50. So, 21 times 250 is 5250 and divided by 50 is 105.
5+10+15+20 in stigma notation
You mean Sigma notation not stigma ^^
Answer:
Look the attachment
Select all the expressions that represent the large rectangle's total area can't find the answer please help
How many solutions does the system of linear equations represented in the graph below have?
No Solution
One Solution
Infinitely many solution
None of the above
Answer:
No solutions
Step-by-step explanation:
There are no solutions because the two lines have the same gradient (they are parallel)
Have a great day <3 and pls love me
OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!
Answer:
triangular prism
Answer:
it will be triangular prism
The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?
Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.
How to compute the aboveThe area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:
(3/2)x² = 324
To solve for x, we can rearrange the equation and take the square root of both sides -
x² = (324 * 2) / 3
x² = 216
x ≈ √216
x ≈ 14.7
Hence , the length of the side of the smaller square is approximately 14.7 feet.
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help ill give extra poihts
Answer:
19 / (19+19+13) = 0.37254901... = ~ 37%
Step-by-step explanation:
19 is self-explanatory
(19+19+13) = 52
19 / 52 = 0.37254901...
0.37254901... = ~37%
brainliest plz
What is the area of an equilateral triangle that has the base 12 cm,
and height of 10 cm? *
A 72.4 square centimeters
B 120 square centimeters
C 62.4 square centimeters
D 60 square centimeters
Answer:
C 62.4square centimetres
1 point
2) What should come in the place of question mark (?) in the following
letter series based on the English alphabetical order CF HK MP RU? *
O WZ
OEF
GH
OHJ
Answer:
A) WZ
Step-by-step explanation:
B,C, and D, come before RU
PLZ ANSWER I REALLY NEED IT
A student is asked to simplify the given expression. The student's response demonstrates which common misconception?
Simplify: x^4/ x^4 Student's response: 0
A) add exponents when dividing B) dividing by zero is undefined C) subtract exponents when dividing D) a number raised to the zero power is equal to 0
What is the area of the triangle?
Answer:
52
Step-by-step explanation:
A certain field is a rectangle with a perimeter of 818 feet. The length is 175 feet more than the width. Find the width and length of the rectangular field.
9514 1404 393
Answer:
width 117 feetlength 292 feetStep-by-step explanation:
Let w represent the width of the field. Then w+175 is its length. The perimeter is ...
P = 2(L+W)
818 = 2((w+175) +w) . . . . . fill in given values
818 = 4w +350 . . . . . . . . . simplify
468 = 4w . . . . . . . . . subtract 350
117 = w . . . . . . . . divide by 4
w+175 = 292 . . . . find the corresponding length
The width of the field is 117 feet; the length is 292 feet.
Which number is a perfect cube?
A. 8
B. 9
C. 16
D. 25
8 is a perfect cube number. So, option A.) is correct.
A number is said to be a perfect cube if it can be multiplied by itself three times. X must equal [tex]y^3[/tex] if it is a perfect cube of Y. As a result, a natural integer, not a fraction, is obtained when we take the cube root of a perfect cube. Therefore, [tex]3\sqrt{x}[/tex] equals y.
Let, a be a integer number then for a number to be perfect cube
Number= [tex]a^3[/tex]..............................................where a is integer number
8= [tex]a^3[/tex]
So, a=2
9= [tex]a^3[/tex]
No, integer value exist, whose cube is 9.
16= [tex]a^3[/tex]
No, integer value exist, whose cube is 16.
25= [tex]a^3[/tex]
No, integer value exist, whose cube is 25.
Thus, 8 is a perfect cube number. So, option A.) is correct.
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