Answer:
[tex]SA(x) = x^2 + \frac{12}{x}[/tex]
Step-by-step explanation:
Given
[tex]V = 3m^3[/tex] --- volume
[tex]x \to base\ length[/tex]
[tex]y \to height[/tex]
Required
The surface area as a function of base length
The volume (V) is calculated as:
[tex]V = Base\ Area * Height[/tex]
[tex]V = x*x*y[/tex]
[tex]V = x^2*y[/tex]
Make y the subject
[tex]y = \frac{V}{x^2}[/tex]
Substitute 3 for V
[tex]y = \frac{3}{x^2}[/tex]
The surface area of the open box is:
[tex]SA = x^2 + 2xy+2xy[/tex]
[tex]SA = x^2 + 4xy[/tex]
Substitute: [tex]y = \frac{3}{x^2}[/tex]
[tex]SA = x^2 + 4x*\frac{3}{x^2}[/tex]
[tex]SA = x^2 + 4*\frac{3}{x}[/tex]
[tex]SA = x^2 + \frac{12}{x}[/tex]
Hence, the function is:
[tex]SA(x) = x^2 + \frac{12}{x}[/tex]
Find the area of each triangle.
Answer:
4.) A = 1/2 bh
1/2 x 3 x 6
= 9in
I need help please I don’t know this
Answer:
B.I (x) and h (x) are inverse function
B
solve the following equation algebraically ? please !
Answer: A
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
The opposite of squared is square root, so you'll have to square root 192 and you'll get the answer 13.86.
The reason it is B, because the x could have been negative, when you're squaring a negative you get a positive. that's why B is the answer because we do not know if it's the negative or positive.
Helppppppppppppppppppppppppppp the question is post on my page
help................................................
9514 1404 393
Answer:
B.
Step-by-step explanation:
Use t=0 and t=2 and locate the graph with those two points on it. (We choose these because the horizontal grid is 2 years for each grid line.)
For t=0, C(0) = 50000(0.9^0) -2000 = 480000
For t=2, C(2) = 50000(0.9^2) -2000 = 40500 -2000 = 38500
The only graph that has y-intercept of 48000 and crosses (2, 38500) is the one shown in choice B.
One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?
The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.
(a, b)
(b, 0)
(c, b)
(0, b)
Answer:
C
Step-by-step explanation:
Your welcome! :) Good luck!
find the missing side of the triangle
Someone please help.
Answer:
Slope = -17
Step-by-step explanation:
We are given the equation of the line to be:
y = -17x + 47/3 which is in the slope-intercept form.
Recall: equation of a line in slope-intercept form takes the following format:
y = mx + b
Where,
m = slope of the line
b = y-intercept of the line
Thus, the slope of the line (m), y = -17x + 47/3 would be -17
Instructions: Find the value of x
Please help
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
Find the vertex of the parabola. y = 3x2 – 30x + 77 a (-2,-5) b. (-5, -2) C. (5,2) d. (2,5) Please select the best answer from the choices provided Ο Α OB ОС D
Answer:
[tex]\text{C. }(5,2)[/tex]
Step-by-step explanation:
The x-coordinate vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is equal [tex]\frac{-b}{2a}[/tex].
In [tex]y=3x^2-30x+77[/tex], we have:
[tex]a[/tex] equals 3[tex]b[/tex] equals -30Therefore, the x-coordinate of the vertex is equal to [tex]\frac{-(-30)}{2(3)}=\frac{30}{6}=5[/tex].
To find the y-coordinate, simply substitute [tex]x=5[/tex] into the parabola's equation:
[tex]y=3x^2-30x+77,\\y=3(5^2)-30(5)+77,\\y=75-150+77,\\y=-75+77=2[/tex]
Thus, the vertex of the parabola is [tex]\boxed{(5,2)}[/tex]
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]
If x = -3 and y = 4x - 1, then y equals what number
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{y = 4x - 1}[/tex]
[tex]\large\text{If x= -3, then substitute it into the given equation}[/tex]
[tex]\large\textsf{y = 4(-3) - 1}[/tex]
[tex]\large\textsf{4(-3) = \boxed{\bf -12}}[/tex]
[tex]\large\textsf{y = -12 - 1}[/tex]
[tex]\large\textsf{-12 - 1 = y}[/tex]
[tex]\large\textsf{-12 - 1 = \boxed{\bf -13}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -13}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4x - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = 4( - 3) - 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = (- 12)- 1}[/tex]
[tex] \quad \quad \quad \quad\tt{y = - 13}[/tex]
Hence, The value of y is:[tex] \quad \quad \quad \quad \boxed{\tt \color{green}{y = - 13}}[/tex]
______
#LetsStudy
how do you find the rate of change for a function over a given interval
Step-by-step explanation:
Differentiate it. You will be given a value of x. Substitute into the differentiated equation use the formula for rate of change. You will find the answerFormula:
[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]
rectangular garden width 2.3 meters and a length of 2.8 meters what is the area
Answer:
area = 2.3 x 2.8
area is 6.44 meters
Step-by-step explanation:
area is length multiplied by width
PLEASE HELP ASAPPP!!!! THE ANSWER WILL BE A PERCENTAGE.
Suppose you are asked to pick 4 numbers from 1 to 25 to win a prize. What is the probability that one of the numbers you will pick is the winning number?
Answer:
each number you pick has a 1 in 25 chance
this equates to a 4% chance of winning for each individual ball
Factorise x2 - 2x - 3
The factorization of x² - 2x - 3 is (x+1)(x-3).
The given quadratic equation is,
x² - 2x - 3
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Hence to factorize we can write the given quadratic equation as,
⇒ x² - 3x + x - 3
⇒ x(x-3) + (x - 3)
⇒ (x+1)(x-3)
Hence,
x² - 2x - 3 = (x+1)(x-3)
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
#SPJ6
In the parallelogram below x=?
Answer:
x = 12
Step-by-step explanation:
The sides are congruent
5x - 17 = 3x + 7
Subtract 3x from both sides
2x - 17 = 7
Add 17 to both sides
2x = 24
Divide both sides by 2
x = 12
Answer:
X=0.8
Step-by-step explanation:
First collect all the light terms '7' and '17' '-17+7=-10'
And '3x' and' 5x' '3x+5x=8x'
So if you put this as an equation you will have '8x=-10'
Next you do 8 divided -10
Then you get 0.8
Pablo deposits $5000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 6years?
Answer:
$5900
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: A = P(1 + rt)
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 5000
r = 3% = 0.03
t = 6
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 5000(1 + 0.03 · 6)(Parenthesis) Multiply: A = 5000(1 + 0.18)(Parenthesis) Add: A = 5000(1.18)Multiply: A = 59005. x – 6 translate into mathematical words
Answer: 6 fewer than a number
20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!
Verify these Identities & SHOW YOUR WORK:
1. cosx−cosxsin²x = cos³x
2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]
3. cos⁴b−sin⁴b = 1−2sin²b
4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]
5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]
HELP!!!
Answer:
30
Step-by-step explanation:
Answer: go on mathaway!!!
Step-by-step explanation:
This dosent really help with ur question but mathaway is free and got me through math
GHK has been reflected over what line to create the resulting image?
Answer: y=x
Step-by-step explanation:
Kevin paid $8.21 for 6 gallons of gas. How much did one gallon of gas cost (rounded to the nearest cent)
Answer:
$1.37 (1.368333)
Step-by-step explanation:
6 divided by 8.21
You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up
Answer:
5:33 am
Step-by-step explanation:
You need to be at the airport at 7:30
Subtract 30 minutes for travel
7:30 -30 = 7:00
You need 1 hour and 27 minutes to get ready
Subtract 1 hour
7-1 =6:00 am
Subtract 27 minutes
6:00 am - 27 minutes
5: 60 - 27 ( Remember there are 60 minutes in 1 hour)
5:33 am
You need to get up at 5:33 am
Check
5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am
2x + 5y = 17
what is x
what is y
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
Solve the system of equations
4x + 2y + 1 = 1
2x − y = 1
x + 3y + z = 1
Answer:
x = 1/4
y = -1/2
z = 9/4
Step-by-step explanation:
Here we have a system of 3 equations with 3 variables:
4*x + 2*y + 1 = 1
2*x - y = 1
x + 3*y + z = 1
The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:
2*x - y = 1
2*x - 1 = y
Now that we have an expression equivalent to "y", we can replace this in the other two equations:
4*x + 2*(2*x - 1) + 1 = 1
x + 3*(2*x - 1) + z = 1
Now let's simplify these two equations:
8*x - 1 = 1
7*x - 3 + z = 1
Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:
8*x - 1 = 1
8*x = 1 + 1 = 2
x = 2/8 = 1/4
Now that we know the value of x, we can replace this in the other equation to find the value of z.
7*(1/4) -3 + z = 1
7/4 - 3 + z = 1
z = 1 + 3 - 7/4
z = 4 - 7/4
z = 16/4 - 7/4 = 9/4
z = 9/4
Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:
y = 2*(1/4) - 1
y = 2/4 - 1
y = 1/2 - 1
y = -1/2
Then the solution is:
x = 1/4
y = -1/2
z = 9/4
What is the answer to 8x < 48
Answer:
x<6
hope this helps
have a good day :)
Step-by-step explanation:
I need help it please
Answer:
5 minutes of practice it shows at the bottom
please answer thanks
Answer:
ED = 31
DT = 20
Step-by-step explanation:
m< ESD = 90-52=38°
the distance ED = 40×tan 38° = 31.25 = 31
ET = 40 x tan (90-38) = 40×tan 52°
= 51.19= 51
the distance DT = 51-31 = 20
100 POINTS!!!!!!!!!!!!!!!!!
Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
Hope this helped.....
Answer:
5 points huh thats mean
Step-by-step explanation: