Answer:
-14-2= -16
I hope it helps :)
Find the second derivative of the function.
Answer:
[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
Step-by-step explanation:
we would like to figure out the second derivative of the following:
[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]
we can rewrite it thus rewrite:
[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]
take derivative in both sides:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]
by sum derivation we obtain:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]
by exponent derivation we acquire:
[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]
take derivative In both sides once again:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]
use difference rule which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]
use exponent derivation which yields:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]
by law of exponent we get:
[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]
hence, our answer is d)
What is the measure of the sides of a square with an area of 49 inches
Someone please answer fast ❤️
Answer:
7 inches
Step-by-step explanation:
area of square=l^2
49=l^2
[tex]\sqrt{49[/tex]=l
7=l
therefore the sides of a triangle is 7 inches.
Answer:
7
Step-by-step explanation:
So to find this you know a square has 4 equal sides. The area is 49, and area is side length multiplied by side length. So what number multiplied by itself is 49? 7 x 7=49!
Please help me.....................
Answer:16500
Step-by-step explanation:
That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.
Donna bought 5 bags of dog treats for $10.65. What is the cost per bag of dog treats?
Answer:
$10.65 divide by 5 equals $2.13
Answer:
The cost per bag of dog treats is $2.13.
Step-by-step explanation:
We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.
Total = $10.65
How many bags there are : 5
$10.65 divided by 5 = 2.13
The cost per bag of dog treats is $2.13.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Find measure of angles B, E, D and C and the length of BC.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4 who has the most apples?
Answer: kelsea 4 apples left
Step-by-step explanation:
x^2 times x^2 times 5
Answer:
5x^4
Step-by-step explanation:
Re-order terms so constants are on the left
x^2*x^2*5
5x^2*x^2
Combine exponents
5x^2*x^2
5x^4
(PLS GIVE brainliest)[tex]\sqrt{x} +3=9[/tex]
Answer:
x=36
Step-by-step explanation:
sqrt(x) +3 = 9
Subtract 3 from each side
sqrt(x)+3-3 = 9-3
sqrt(x) = 6
Square each side
(sqrt(x))^2 = 6^2
x = 36
Check the solution
sqrt(36) +3 = 9
6+3 = 9
Solution is valid
Answer:
x = 36
Step-by-step explanation:
√x + 3 = 9
subtract 3 from 9
√x = 9 - 3
√x = 6
Find , square root of 6
x = (6 ) ²
x = 36
Write a numerical expression for the verbal expression.
fourteen decreased by three times four
Answer:
Step-by-step explanation:
44
solve the inequality 2-x<7
Answer:
x>-5
Step-by-step explanation:
2-x<7
Subtract 2 from each side
2-x-2<7-2
-x<5
Multiply each side by -1, remembering to flip the inequality
x>-5
a cylinder and sphere both have the same diameter and the same volume. if the height of the cylinder is 36cm,
find their common radius?
Answer:
27
Step-by-step explanation:
V_cylinder = pi r^2 h
h = 36
V_cylinder = 36 pi r^2
V_Sphere = 4/3 * pi * r^3
But the volumes are given as equal
36pi r^2 = (4/3) pi r^3 divide by pi r^2
36 = 4/3 r Multiply both sides by3/4
36 * 3/4 = r
r = 27
3x<11.75 solve for x please, with step on how you got to that answer!
Answer:
See below
Step-by-step explanation:
3x < 11.75
11.75 / 3 = 3.92
x < 3.92
Properties of Logarithms pls help me with this?
Answer:
log 18= 2.0850
1.2925+0.7925= 2.085
Divide. (ASAP PLEASE)
[tex]30 )869[/tex]
Enter the number that belongs in the green box.
Answer:
0.034522 (for decimal)
Step-by-step explanation:
Expand and simplify:
(x + 1)(2x - 3)
with the explaining the steps
====================================
Work Shown:
(x+1)(2x-3)
y(2x-3)
2xy - 3y
2x( y ) - 3( y )
2x( x+1 ) - 3( x+1 )
2x^2+2x - 3x-3
2x^2 - x - 3
Explanation:
In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.
Find the surface area and explain step by step plz and no links plz
Answer:
253 in²
Step-by-step explanation:
Surface area of a cylinder= 2πr (r+h)
The radius is not shown.
Radius= diameter/2
= 7/2
= 3.5 in
Surface area= 2xπx3.5 (3.5+8)
= 253 in²
*r=radius
h=height
I used the π value from my calculator.
P.S. You can substitute π for 3.14. If you round it to the nearest whole number, you will still get the same answer. Hope this helped!
The picture shows the diameter and the height. First, find the radius from the diameter by dividing by 2.
Which two angles below are complementary?
Answer:
1° and 89°
Step-by-step explanation:
They add up to 90°
Hope this helps! :)
Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8
Answer:
[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]
Step-by-step explanation:
Given
[tex]x \to[/tex] element of natural number
[tex]x \to[/tex] multiple of 8
Required
Express in roster form
[tex]Natural[/tex] [tex]numbers[/tex] are 1, 2, 3, 4, 5, 6, ......
[tex]Natural[/tex] [tex]numbers[/tex] that are multiples of 8 are 8, 16, 24, 32, 40, ......
So, the set in roster form is:
[tex]B = \{8, 16, 24, 32, 40, ...... \}[/tex]
I need help I put 30 points for whoever helps me
Answer:
[tex]y=-x+1[/tex]
Step-by-step explanation:
Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].
In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.
To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.
Using (1, 0) from the table:
[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]
Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]
Which of the following are true statements about angle parking. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Angle parking is more common than perpendicular parking. Angle parking is more common than perpendicular parking. All are true statements.
Answer:
Angle parking is more common than perpendicular parking.
Angle parking spots have half the blind spot as compared to perpendicular parking spaces
Step-by-step explanation:
Considering the available options, the true statement about angle parking is that" Angle parking is more common than perpendicular parking." Angle parking is mostly constructed and used for public parking. It is mostly used where the parking lots are quite busy such as motels or public garages.
Therefore, in this case, the answer is that "Angle parking is more common than perpendicular parking."
Also, "Angle parking spots have half the blind spot as compared to perpendicular parking spaces."
Help on this too Guys
Answer:
radius is 6 diameter is 2 don't know the other one tho
Evaluate 10% of 5000
Answer:
500
Step-by-step explanation:
that is the procedure above
Simplify\left(2-\sqrt{3}\right)^2
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]
[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]
[tex] = 4 + 4 \sqrt{3} + 3[/tex]
[tex] = 7 + 4 \sqrt{3} [/tex]
Note:[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]
[tex] \sqrt{a} \times \sqrt{a} = a[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Calculate the volume of a cone with: 11cm height and 6cm radius
Answer:
volume=1243.44 cm^3
Step-by-step explanation:
volume of a cone=πr^2h
=3.14*(6)^2*111
=3.14*36*11
=1243.44 cm^3
Answer:
V=414.69cm³
Step-by-step explanation:
use v=πr²h/3
pie is 22/7 so when you fix in your values you will get the answer
Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
other, perpendicular or neither. Explain your reasoning.
o The first basketball is along the path 3x + 4y = 12
o The second basketball is along the path -6x – 8y = 24
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
Two lines are parallel if their slopes are equivalent. Two lines are perpendicular if their slopes are negative reciprocals of each other. And two lines are neither if neither of the two cases above apply.So, let's find the slope of each equation.
The first basketball is modeled by:
[tex]\displaystyle 3x+4y=12[/tex]
We can convert this into slope-intercept form. Subtract 3x from both sides:
[tex]4y=-3x+12[/tex]
And divide both sides by four:
[tex]\displaystyle y=-\frac{3}{4}x+3[/tex]
So, the slope of the first basketball is -3/4.
The second basketball is modeled by:
[tex]-6x-8y=24[/tex]
Again, let's convert this into slope-intercept form. Add 6x to both sides:
[tex]-8y=6x+24[/tex]
And divide both sides by negative eight:
[tex]\displaystyle y=-\frac{3}{4}x-3[/tex]
So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
PLEASEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE
Answer:
First, find the multiplier ( 100-18/100)
=0.82
364000*0.82
=298480 is the new value after the years
HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST
Which of the following is one of the factors of the polynomial
15x2-x-2? A)x-2 B) 5x-2 C) 5x+1. D) 3x-1
Answer:
5x-2
Step-by-step explanation:
15x^2-x-2
15x^2+5x-6x-2
factorize
5x(3x+1)-2(3x+1)
Sol: (3x+1)*(5x-2)
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?
Answer: [tex]\sqrt{3}[/tex] x 8 = 13.8564064606
Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ([tex]\sqrt{3}[/tex]). Therefore, square root 3 ([tex]\sqrt{3}[/tex]) is multiplied by the length (8 in our case) of either 6 faces of the cube.
Hope it helped!
Answer:
13.8564064606