Answer:
[tex](6a-7)5a=30a^2-35a[/tex]
Step-by-step explanation:
Message if you want a detailed explanation.
I NEEDDDDD HELPPPP ITS URGENTTTT!!!!!!!
Answer:
r=7, Center:(4,8)
Step-by-step explanation:
( x - h )^2 + ( y - k )^2 = r^2 is the general formula for circle where radius is square root of r^2 and the center is (h,k).
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:
.............
What is the value of the expression below when x=3 and y=8?
6x +10y
Answer:
98
Step-by-step explanation:
The value of the expression below when x=3 and y=8 is 98.
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
helppppppppppppppp me
Answer:
42
Step-by-step explanation:
5²+3(2)+5+6
25+6+5+6
31+11
42
Hope it helps
A and B can do the work in 8 days ; B and C can do the work in 12 days ;A ,B and C together can finish it in 6 days .In how many days A and C together will do the same work
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.
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 following ordered pairs represent a function: {(-3, 1), (1, -2), (3, 0), (4, 5)}.
True or False
Answer:
false
Step-by-step explanation:
this is because there is no function of an unknown in this set
What is the answer ? Help pls
Answer:
B. 4Step-by-step explanation:
Given,
[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]
Since,
[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]
Then,
[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]
[tex] = > {x}^{8} = {2}^{8} [/tex]
(Since the exponents are same so the bases will be also same)
Therefore,
=> x = 2
As per condition,
[tex] {x}^{2} [/tex]
(Putting value of x = 2)
[tex] ={2}^{2} [/tex]
= 4 (Ans)
7/3 = 7 ÷
7 divided by blank equals 7/3
please help ?
Answer:
7/3 = 7 ÷ 7 ÷ 3/7 (i think)
Step-by-step explanation:
check mathpapa.com
https://www.mathpapa.com/algebra-calculator.html
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
Given m \| nm∥n, find the value of x.
Answer:
53
Step-by-step explanation:
The value of x in the given figure is 127 degrees.
Given that;
The lines m and n are parallel lines.
Now by definition of vertically opposite angle,
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.
Hence from the figure we get;
Angle x and 127 degrees are vertically opposite angles.
Hence we get;
x = 127°
To learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ3
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
The rational number -13/-5 lies to the right of zero on the number true or false.
Answer:
true
hope it helps
PLEASE MARK BRAINLIEST
Which statement is true regarding the functions on the
graph?
O f(-3) = g(4)
Of(-4) = g(-3)
Of(-3) = g(-3)
Of(-4) = g(-4)
Answer: C
Step-by-step explanation:
intersection of f(x) and g(x) is x=-3
f(-3)=g(-3)
Answer C
Answer:
The answer is f(-3)=g(-3)
Step-by-step explanation: just took the test hope it helps❤️
Please help!!! 20 points + brainliest!!
6 + (-47) =
Well, all we have to do is add, so:
6 + (-47) =
6 - 47 =
-41
Answer:
(-41)
Step-by-step explanation:
Subtract and write big numbers sign.
47 - 6= (-41)
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.
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
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]
please help! i can’t write the equation on here so look at the picture.
Answer:
So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation
[tex]\frac{\sqrt{yz}}{(z-x)^{2} + y } =[/tex] [tex]\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =[/tex] [tex]\frac{\sqrt{100}}{(-6)^{2} -20 }[/tex] [tex]= \frac{10}{16} =\frac{5}{8}[/tex]
Answer:
√100 / {-5-1}^² +(-20)10/(-6)^² -2010/36-2010/165/8if line 4x+ky=11 and line y=8x-3 are parallel find the value of k
pls help me asap thank you step by step please!!
Answer:
k=-1/2
Step-by-step explanation:
u have to change line 4x + ky=11 to this form:
y=11/k-4x/k
then, if 2 lines are parallel, their slopes have to equal
so: 8=-4/k -> k=-1/2
a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?
Answer:
don't know
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
From a group of three boys and six girls a boy and a girl will be selected to attend a conference and how many ways can the selection you made
Answer:
18
Girl = g
Boy = b
1g 1b 1g 2b 1g 3b
2g 1b 2g 2b 2g 3b
3g 1b 3g 2b 3g 3b
4g 1b 4g 2b 4g 3b
5g 1b 5g 2b 5g 3b
6g 1b 6g 2b 6g 3b
---------------------------------------
Another way you can do this,
6 × 3 = 18
In the end there will be 18 selections.
_(9)=(2(1-2(2)^(9)))/(1-2(2))
PLEASE HELP ME OUT.
Answer:
the answer = um ok
Step-by-step explanation:
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
trigonometric identities
Answer:
answer B:
[tex]x= \dfrac{\pi}{2}\ or\ \dfrac{\pi}{6}\ or\ x=\dfrac{5\pi}{6}[/tex]
Step-by-step explanation:
[tex]2cos^2 x + 3sin x=3\\\\\Longrightarrow\ 2*(1-sin^2 x)+3sin x -3=0\\\\\Longrightarrow\ 2-2sin^2 x+3 sin x -3=0\\\\\Longrightarrow\ -2sin^2 x+3 sin x -1=0\\\\\Longrightarrow\ 2sin^2 x-3 sin x +1=0\\\\\Delta=3^2-4*2*1=1\\\\sin\ x=\dfrac{3-1}{4} \ or\ sin\ x=\dfrac{3+1}{4}\\\\sin\ x=\dfrac{1}{2} \ or\ sin\ x=1\\\\\Longrightarrow\ x= \dfrac{\pi}{6}\ or\ x= \dfrac{5\pi}{6}\ or\ x=\dfrac{\pi}{2} \\[/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]
