Answer:
[tex]x - 3[/tex]
Step-by-step explanation:
Given
[tex]Volume = x(x - 3)(x + 4)[/tex]
Required
The shortest side
The volume of a rectangular prism is:
[tex]Volume = Length * Width * Height[/tex]
By comparison, we have:
[tex]Length = x[/tex]
[tex]Width = x-3[/tex]
[tex]Height = x + 4[/tex]
In ascending order, the sides are:
[tex]Width = x-3[/tex]
[tex]Length = x[/tex]
[tex]Height = x + 4[/tex]
This is so because:
Irrespective of the value of x
x - 3 will be less than x
x + 4 will be more than x
Hence, the shortest length is:
[tex]Width = x-3[/tex]
Answer:
b
Step-by-step explanation:
An angle measures 73.6° more than the measure of its complementary angle. What is the measure of each angle?
PLEASE help, I'm struggling a lot!
Answer:
Let ABC = 73.6
Complement = ABD = 16.4
ABx = unknown angle
ABx + (ABx + 73.6) = 90
ABx = 16.4 / 2 = 8.2
The angles are 8.2 and (8.2 + 73.6) = 90
Write each function in parametric form, using the given equation for x.
x^2+y^2=9, x= cos t
Can u help solve this
Answer:
2304 in^3
Step-by-step explanation:
12×12×6+8×10×18
=864+1440
=2304
i don’t know how to solve this
Answer:
? = 63
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/ hyp
cos ? = 6/13
Taking the inverse cos of each side
cos^-1 (cos ?) = cos^-1 (6/13)
? = 62.51357
To the nearest degree
? = 63
which choice is equivalent to the expression below?
6√7 - 5x√7 - x√7
[tex]6 \sqrt{7} (1 - x)[/tex]
Can someone help me please will Mark brainliest
Answer:
The answer that I got is C I hope I'm right
Answer:
An integerOAmalOHopeO
plssssssss helpppppppppppp i want it now pls
3/5kg + 760g
3/5kg = 3/5×1000
= 600g
Now
600g + 760g = 1360g
Or 1.36kg
Answered by Gauthmath must click thanks and mark brainliest
TWO TEST
23. Evaluate 4b2 for b
= -1/2
4b² when b = -1/2
[tex] = {4( \frac{ - 1}{2})}^{2} \\ = 4( \frac{1}{4}) \\ = \frac{4}{4} \\ = 1[/tex]
Answer:
-4
Step-by-step explanation:
4b x 2 when b = -1/2
1) put -1/2 where b is.
4 x -1/2 x 2
2) solve.
-2 x 2
-4
Determine if the following conjecture is valid.
Given: If a computer sales person sells at least 15 computers in a week, then she gets a bonus. Mandy sells 12 computers in a week.
Conclusion: Mandy gets a bonus.
Answer:
Not valid
Step-by-step explanation:
Because 12 is minor than 15
The conjecture is not valid.
Mandy not gets a bonus.
Given that:
If a computer sales person sells at least 15 computers in a week, then she gets a bonus.
Maddy sells 12 computers in a week.
Conclusion: Maddy gets a bonus.
We have to check the conjecture is valid or not.
What is Conjecture?
A conjecture is a conclusion or proposition that is proffered on the tentative basis without the proof.
Now,
Here, if a person sells 15 or more computers in a week, she gets a bonus.
Maddy sells 12 computers in a week, which is less than 15.
So, Maddy did not get a bonus.
Learn more about conjecture visit:
https://brainly.com/question/20409479
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Given a sphere with radius r, the formula 4x1/2 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area
Answer:
c. the radius
Step-by-step explanation:
To calculate the radius of a sphere:
r = d x ½
where d = diameter
What is the y-intercept of the line shown?
1
0
10
2
4
-10
ОО
01
03
3.5
Answer:
y-intercept = 3
Step-by-step explanation:
value that's on the y - axis
hi guys good afternoon
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
A line passes through the point (8,9) and has a slope of 3/4
What is the equation in slope intercept form for this line
Answer: [tex]y=\frac{3}{4}x+3[/tex]
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.
[tex]y=\frac{3}{4}x+b[/tex] [plug in (8,9)]
[tex]9=\frac{3}{4}(8)+b[/tex] [multiply]
[tex]9=6+b[/tex] [subtract both sides by 6]
[tex]b=3[/tex]
Now that we have b, we can complete the equation to [tex]y=\frac{3}{4}x+3[/tex].
what is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answer:
y -1 = 3/ 2( x + 3)
Step-by-step explanation:
m = (2 +4)/( 2+2)
m = 3/2
can someone pls help w finding the x and y intercepts of this?
y=x^2-2x
Answer:
y-intercept is 0, x-intercept is 0 and 1
Step-by-step explanation:
For y-intercept, x=0 :
[tex]{ \tt{y = {(0)}^{2} - 2(0) }} \\ { \tt{y = 0}}[/tex]
For x-intercept, y=0 :
[tex]{ \tt{0 = {2x}^{2} - 2x }} \\ { \tt{2x(x - 1) = 0}} \\ { \tt{x = 0 \: \: and \: \: 1}}[/tex]
Escribe una situacion quese represeten con los 60 -4 0 -10 cual es el resultado
Answer:
Sorry I didn't knowwhat is the y coordinate of the solution
Answer:
Y = -5
Step-by-step explanation:
2x - 3x+ 26 = 19
X = 7
Y = -5
Find the number of bit strings that satisfies the given conditions. The bit strings of length 11 having at least four 1s
Answer:
Step-by-step explanation:
find the missing side. Round it the nearest tenth.
Answer: x= 11√3= 19.0525 = 19.1
Step-by-step explanation:
Let the reference angle be 30
so
cos 30 = b/h
√3/2 = x/22
or, 22√3 = 2x
or. x = (22√3)/2
so, x = 11√3
Answer:
x = 19.1 cm
Step-by-step explanation:
→ Find the name of the side you are not given
Opposite
→ Find a formula without opposite in it
Cos = Adjacent ÷ Hypotenuse
→ Rearrange to make adjacent the subject
Adjacent = Cos × Hypotenuse
→ Substitute in the values
Adjacent = Cos ( 30 ) × 22
→ Simplify
Adjacent = 19.1
Select the correct answer from each drop-down menu. The simplest form of the expression has in the numerator and in the denominator.
Answer:
Numerator is 7 and denominator is (m+4)
Step-by-step explanation:
(4m-17)/(m^2-16)+(3m-11)/(m^2-16)=(7m-28)/(m^2-16)=7/(m+4)
Joe worked for three days. On the first day, he completed 1/2 of his work. On the second day, he completed 1/3 of the remaining work. What fraction of the work was left for the third day?
Answer:
1/3
Step-by-step explanation:
first day work=1/2
work left=1-1/2=1/2
second day finished=1/3 ×1/2=1/6
work left =1/2-1/6=3/6-1/6=2/6=1/3
value of x in 2x-7=35 is
Answer:
x=21
Step-by-step explanation:
2x - 7 = 35
+7 +7
-----------------
2x = 42
----- -----
2 2
x = 21
The answer is 21, hope this helps.
Answer:
x = 21
Step-by-step explanation:
2x - 7 = 35
We need to isolate x. First, we add 7 to both sides.
2x - 7 + 7 = 35 + 7
2x = 42
Now we divide both sides by 2.
2x/2 = 42/2
x = 21
Answer: x = 21
What is the length of segment VT?
Answer:
5
Step-by-step explanation:
VU = VT because they are on two diagonals that intersect at the midpoint
Darryl has written 60 percent, or 12 pages, of his history report. Darryl wants to figure out how many total pages he needs to write. Darryl’s work is shown below.
Step 1: Write 60 percent as a ratio. StartFraction part Over whole EndFraction = StartFraction 60 Over 100 EndFraction
Answer:
total pages = 20
Step-by-step explanation:
60% of an unknown number is 12
Let the unknown number (total pages) be x.
60/100 of x = 12
60/100 * x = 12
3/5 x = 12
x = 12 * 5/3
x = 20
1. Write an expression in simplest form for the area of the figure below:
(answer pls)
Answer:
(5x+6)(2x+5)-(2x+4)(x+8) simplified is 8x^2+17x-2
Step-by-step explanation:
Answer:
13x²+16x+28
Step-by-step explanation:
S=(5x+6)×(3x+2)=15x²+28x+12
2x+5-x-3=x-2
5x+6-3x+2=2x+8
(x-2)×(2x-8)=2x²-12x+16
15x²+28x+12-2x²-12x+16=13x²+16x+28
2(x-y)(x+y)+(x+y)*2+(x-y)
Answer:
2 x ^2 − 2 y^ 2 + 3 x + y
Step-by-step explanation:
write an equation for a line parallel to: y = -3x + 2.
Answer:
y = 1/3x + 2
Step-by-step explanation:
Simplify (-63) ÷ (-9)
Answer:
Find the GCD (or HCF) of numerator and denominator
GCD of 63 and 9 is 9
Divide both the numerator and denominator by the GCD
63 ÷ 9
9 ÷ 9
Reduced fraction:
7/1
Therefore, 63/9 simplified to lowest terms is 7/1.
Step-by-step explanation:
I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!
Answer: (x - 2)² + (y - 14)² = 1
Step-by-step explanation:
Concept:
Here, we need to know the idea of the circle formula.
Circle formula: (x - h)² + (y - k)² = r²
Center = (h, k)
Radius = r
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Center = (2, 14)
Radius = 1
Given formula
(x - h)² + (y - k)² = r²
Substitute the value into the formula
(x - 2)² + (y - 14)² = (1)²
Simplify
(x - 2)² + (y - 14)² = 1
Hope this helps!! :)
Please let me know if you have any questions
