Answer:
hope it helps you
Step-by-step explanation:
pls kindly mark it brainliest answer
Answer:
[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]
Step-by-step explanation:
3/5 - 1/3
Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator
3/5 times 3/3 = 9/15
Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator
1/3 times 5/5 = 5/15
9 / 15 - 5 / 15 = 4/15
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Write the integer represented by H. List its opposite and absolute value.
Answer:
The integer represented by H is -2
Its opposite is 2 and the absolute value is also 2
Answer:The integer represented by H is -2
Step-by-step explanation:
Answer this question, if anyone just posts an answer that is not relevant to this question will be reported.
Answer:
A is the correct answer
Step-by-step explanation:
I have looked at your bar graph.
What about B?
B is wrong because the first bar doesn't reach 5.8 billion
And C & D are wrong for the same reason. I hope this helps you:)
Note:
My answer WAS relevant to your question.
Answer:
tysm have a great day! Go rose!
Step-by-step explanation:
Hello again! This is another Calculus question to be explained.
The prompt reads that "If f(x) is a twice-differentiable function such that f(2) = 2 and [tex]\frac{dy}{dx}[/tex] = [tex]6\sqrt{x^2 + 3y^2}[/tex], then what is the value of [tex]\frac{d^2y}{dx^2}[/tex] at x = 2?"
My initial calculation lead to 12, but then I guessed 219 as the answer and it was correct. Would any kind soul please explain why the answer would be 219? Thank you so much!
Answer:
See explanation.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationExponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Property [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
We are given the following and are trying to find the second derivative at x = 2:
[tex]\displaystyle f(2) = 2[/tex]
[tex]\displaystyle \frac{dy}{dx} = 6\sqrt{x^2 + 3y^2}[/tex]
We can differentiate the 1st derivative to obtain the 2nd derivative. Let's start by rewriting the 1st derivative:
[tex]\displaystyle \frac{dy}{dx} = 6(x^2 + 3y^2)^\big{\frac{1}{2}}[/tex]
When we differentiate this, we must follow the Chain Rule: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{d}{dx} \Big[ 6(x^2 + 3y^2)^\big{\frac{1}{2}} \Big] \cdot \frac{d}{dx} \Big[ (x^2 + 3y^2) \Big][/tex]
Use the Basic Power Rule:
[tex]\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} (2x + 6yy')[/tex]
We know that y' is the notation for the 1st derivative. Substitute in the 1st derivative equation:
[tex]\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 6y(6\sqrt{x^2 + 3y^2}) \big][/tex]
Simplifying it, we have:
[tex]\displaystyle \frac{d^2y}{dx^2} = 3(x^2 + 3y^2)^\big{\frac{-1}{2}} \big[ 2x + 36y\sqrt{x^2 + 3y^2} \big][/tex]
We can rewrite the 2nd derivative using exponential rules:
[tex]\displaystyle \frac{d^2y}{dx^2} = \frac{3\big[ 2x + 36y\sqrt{x^2 + 3y^2} \big]}{\sqrt{x^2 + 3y^2}}[/tex]
To evaluate the 2nd derivative at x = 2, simply substitute in x = 2 and the value f(2) = 2 into it:
[tex]\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = \frac{3\big[ 2(2) + 36(2)\sqrt{2^2 + 3(2)^2} \big]}{\sqrt{2^2 + 3(2)^2}}[/tex]
When we evaluate this using order of operations, we should obtain our answer:
[tex]\displaystyle \frac{d^2y}{dx^2} \bigg| \limits_{x = 2} = 219[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
find the length of BC
Answer:
13.3650978628
Step-by-step explanation:
Angle A=180-(Angle B+C)=180-117=63
Here,
b=BC, p=AC & AB=12
Using the relation of cos,
cosx=b/h
cos27=BC/15
15cos27=BC
Using a calculator,
BC=13.3650978628
What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V = [tex]\pi[/tex]r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V = [tex]\pi[/tex]r²h
V = [tex]\pi[/tex](8)²(8)
V = [tex]\pi[/tex](64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
order the following radicals from the least to greatest without using a calculator. show your reasoning
[tex]2 \sqrt{6} [/tex]
[tex]5 \sqrt{10} [/tex]
[tex]4 \sqrt{2} [/tex]
[tex]3 \sqrt{3} [/tex]
Answer:
2*sqrt6 = 2*apprx2 = 4
5*sqrt10 = 5*3.1 = 15.5
4*sqrt2 = 4*1.4 = 6.4
3*sqrt3 = 3*1.7 = 5.1
4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10
Graph the line that has a slope of -7/4 and includes the point (0,10).
Answer:
y=-7/4x +10
Step-by-step explanation:
that the graph, you can plug the equation in desmos,
hope it helps! :)
SIN TRIG PLEASE HELP 50 POINTS
If sin y° = s/8 and tan y° = s/t what is the value of sec y°
a. sec y° = 8s
b. sec y° = 8t
c. sec y° = 8/t
d. sec y° = t/8
Answer:
C
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin y^\circ = \frac{s}{8}\text{ and } \tan y^\circ = \frac{s}{t}[/tex]
And we want to find the value of:
[tex]\displaystyle \sec y^\circ[/tex]
Recall that tan(θ) = sin(θ) / cos(θ). Since sec(θ) = 1 / cos(θ), tan(θ) = sin(θ)sec(θ). Substitute:
[tex]\displaystyle \sin y^\circ \sec y^\circ = \frac{s}{t}[/tex]
Substitute:
[tex]\displaystyle \frac{s}{8}\sec y^\circ =\frac{s}{t}[/tex]
Solve for secant:
[tex]\displaystyle \sec y^\circ = \frac{8}{t}[/tex]
Hence, our answer is C.
Answer:
c. sec y° = 8/t
Step-by-step explanation:
I took the test
The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d represents the distance and t represents time. Find the speed of a car that travels from Clinton to Greenville in 2 hours
Step-by-step explanation:
time = 2 hours
distance travelled(d) = 124 miles
so
speed = d/t
= 124/2
= 62 miles per hour
Therefore, the speed of car is 62 miles per hour.
Which of the following is equal to ….
Answer:
B option is your answer
Step-by-step explanation:
please mark as brainliest
Answer:
B. 4th root of 7
Step-by-step explanation:
denominator is the root. numerator is the exponent
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have. (Hint: one is the other simplified)
Answer:
Step-by-step explanation:
Total amount in cents (unsimplified): 5N +17(10-N)
Simplified: 170-5N
Can u help solve this
Answer:
- 5/3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -1 -9)/(4 - -2)
= (-1-9)/(4+2)
= -10/6
- 5/3
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]
Find the measure of the indicated angle to the nearest degree
ILL GIVE POINTS!! PLS HELP !!!
Which set of polar coordinates describes the same location as the
rectangular coordinates (1. - 1)?
A. (sqrt2,315°)
B. (-1,135°) C. (sqrt2,225°)
D. (1,45°)
Answer:
The polar coordinates appear in the form (r, θ), where r is the the radius from the center and θ is the angle. To get the radius, do the following.
[tex]r = \sqrt{x^2 + y^2} = \sqrt{1^2 + (-1)^2} = \sqrt{2}\\[/tex]
You can get the angle visually by drawing a point (1, -1) on a graph and seeing that it is 45 degrees from the top right quadrant (you can tell its 45 because both x and y have the same magnitude). Since there are 360 degrees, 360 - 45 = 315.
If you would like to find it mathematically, this is the way to do it
[tex]\theta = atan(y/x) = -45[/tex]
Notice that -45 degrees is just 360 - 45 = 315
Your answer would be
[tex](\sqrt{2}, 315)[/tex]
4. 19 feet to inches
What is the function rule that represents the sentence y is 7 less than the product of 6 and x?
Answer:
y = 6x-7
Step-by-step explanation:
product of 6 and x
6x
7 less than the product of 6 and x
6x-7
y = 6x-7
Please help me please and thank you
Answer:
3x² + 2x - 9 = 0
Step-by-step explanation:
Standard form of a quadratic: ax² + bx + c
Move all terms to one side of the equation:
[tex]3x^2-9=-2x\\3x^2-9+2x=-2x+2x\\3x^2+2x-9=0[/tex]
f(x)=square root 2x and g(x)=square root 50x find (f/g)(x)
Answer:
1/5
Step-by-step explanation:
(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5
given the circle, find the arc measure
_(9)=(2(1-2(2)^(9)))/(1-2(2))
PLEASE HELP ME OUT.
Answer:
the answer = um ok
Step-by-step explanation:
x+y=4 and 2x+3y=2 then find x and y
Answer:
x=10, y=-6
Step-by-step explanation:
1) express x from the first equation x+y=4 x=4-y
2) It is the system of equations, so both equations are simultaneous.
you can replace x to 4-y in the second one
2 *(4-y) +3y=2
8-2y+3y= 2
y=-6
x= 4-y=4-(-6)=10
The answer is x=10, y=-6
helppppppppppppppp me
Answer:
42
Step-by-step explanation:
5²+3(2)+5+6
25+6+5+6
31+11
42
Hope it helps
For what value of k does the equation (2k+1)x^2+2x=10x-6 have two real and equal roots?
Answer:
[tex]\displaystyle k = \frac{5}{6}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]
And we want to find the value of k such that the equation has two real and equivalent roots.
Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:
If Δ < 0, we have no real roots (two complex roots). If Δ > 0, we have two real roots. And if Δ = 0, we have one real root, or two equivalent ones.First, rewrite our equation:
[tex](2k+1)x^2 -8x + 6 =0[/tex]
The discriminant is given by:
[tex]\displaystyle \Delta = b^2 -4ac[/tex]
In this case, b = -8, a = (2k + 1), and c = 6.
Therefore, the discriminant is given by:
[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]
For it to have two equal roots, the discriminant must be zero. Hence:
[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]
Hence, the value of k is 5/6.
Plane R and Plane U intersect at which of the following?
Answer:
do you have any images with the questions?
Step-by-step explanation:
Type the equation for the graph
below.
Answer:
Step-by-step explanation:
This is a "regular" sin graph that's "taller" than the original. The amplitude is 3; other than that, its period is the same and it has not shifted to the right or left, so the equation, judging from the graph, is
[tex]y=3sin(x)[/tex]
The midpoint of a segment is ( 6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint
express y=2x²+9x+4 in the form a(x+b)²+c . where a ,b,c are constant
Answer:
2(x+9)^2 + 4
Step-by-step explanation:
.............
The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the nearest whole number.
Given:
Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(i)
Surface area of a sphere:
[tex]A=4\pi r^2[/tex] ...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.
[tex]V=\dfrac{28}{3}\times A[/tex]
[tex]\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2[/tex]
Multiply both sides by 3.
[tex]4\pi r^3=112\pi r^2[/tex]
[tex]\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}[/tex]
[tex]r=28[/tex]
Using (i), the volume of the sphere is:
[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3[/tex]
[tex]V\approx 91989[/tex]
Using (ii), the surface area of the sphere is:
[tex]A=4\times \dfrac{22}{7}\times (28)^2[/tex]
[tex]A=9856[/tex]
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.
What is the slope of the line shown below?
(6,6)
m
O A. -2
B. 2
-5
6
O c. 7 /
IN
(1,-4)
5
1
O D.
D. -
2
Answer:
B
Step-by-step explanation:
answer is slope =2
use formula y2-y1 over x2-x1
two points of graph is (6,6) and (1,-4)
since 6 and -4 are both y, we take 6-(-4) over 6-1
we get 2
ask for further explanation if you need!!❤
Isobel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. Select the equation in point-slope form for the line that represents the height of the bucket relative to the top of the well.
A. y + 1 = 4x – 1
B. y – 1 = 4x + 1
C. y – 1 = 4(x + 1)
D. y + 1 = 4(x – 1)