AP
Solve the absolute value inequality 2|x-7/2|+4>9 algebraically. Select the correct graph of the solution.
Answer:
x < 1 or x > 6
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b
Step-by-step explanation:
help if you can dont answer if you dont know please
Answer:
Area of the shaded region 85 square inches
Step-by-step explanation:
10(width)x8(height)=80
Triangle on the right= (8x5)/2=20
Triangle on the left=(8x5)/2=20
Both triangles' area=40
80+40=120
Not shaded area=5x7=35
120-35=85
Find d²y/dx² in terms of x and y.
y^5 = x^7
d²y/dx² =????
Answer: [tex]\frac{14y}{25x^2}[/tex]
====================================================
Work Shown:
First calculate [tex]\frac{dy}{dx}[/tex] through the use of implicit differentiation.
Don't forget about the chain rule.
[tex]y^5 = x^7\\\\\frac{d}{dx}\left[y^5\right] = \frac{d}{dx}\left[x^7\right]\\\\5y^4\frac{dy}{dx} = 7x^6\\\\\frac{dy}{dx} = \frac{7x^6}{5y^4}\\\\[/tex]
Go back to line 3, shown above, and apply the derivative to both sides.
You'll be using the product rule.
[tex]5y^4\frac{dy}{dx} = 7x^6\\\\\frac{d}{dx}\left[5y^4\frac{dy}{dx}\right] = \frac{d}{dx}\left[7x^6\right]\\\\\frac{d}{dx}\left[5y^4\right]*\frac{dy}{dx}+5y^4*\frac{d}{dx}\left[\frac{dy}{dx}\right] = 42x^5\\\\20y^3*\frac{dy}{dx}*\frac{dy}{dx}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
Use substitution and isolate [tex]\frac{d^2y}{dx^2}[/tex] to get the following:
[tex]20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\20y^3*\left(\frac{7x^6}{5y^4}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5y^5}+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5x^7}+5y^4\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]
[tex]\frac{196x^5}{5}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\5y^4*\frac{d^2y}{dx^2}=42x^5-\frac{196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{210x^5-196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{14x^5}{5}\\\\[/tex]
[tex]\frac{d^2y}{dx^2}=\frac{14x^5}{5}*\frac{1}{5y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5}{25y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5*x^2}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14x^7}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y^5}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y}{25x^2}\\\\[/tex]
a2+14a+49 please help me
Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.
Answer:
$2304.5
Step-by-step explanation:
The balance after 8years=P(1+R/100)^t
=1000(1+11/100)^8
=$2304.5
Determine the length of a ladder that Sir Gleefulheart needs to reach the top
of the battlement (castle) to the nearest meter if the moat (water)
surrounding the battlement is 6 meters wide. The top of the battlement is 8
meters above the moat. *
9514 1404 393
Answer:
10 meters
Step-by-step explanation:
You recognize that the ratio of leg lengths of the right triangle involved is ...
6 : 8 = 3 : 4
You know that any right triangle with leg lengths 3 and 4 has a hypotenuse of 5. The ladder will need to be in the same ratio:
3 : 4 : 5 = 6 : 8 : 10
The ladder needs to be 10 meters long.
_____
In case you don't remember that (3, 4, 5) is a "Pythagorean triple," you can figure the length using the Pythagorean theorem.
6^2 +8^2 = hypotenuse^2
36 +64 = 100 = hypotenuse^2
hypotenuse = √100 = 10 . . . . required ladder length in meters
find the value of x so that the ratios are equivalent 2:7 and 8:x
Answer:
x = 28
Step-by-step explanation:
What is the result when 3x4 + 10x3 + 14x2 + 12x + 5 is divided by x + 1?
Answer:
3x^3 + 7x^2 + 7x + 5
Step-by-step explanation:
Use long division for polynomials.
How many students voted for each
participant?
Answer:
12 people voted for Matthew and 18 people voted for Diana.
Step-by-step explanation:
1. Multiply 30 by 0.4 to get 12.
2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.
Explain why xyz is similar to lmz
Answer:
Because they both have 65 degree angles and are both triangles
Step-by-step explanation:
Answer:
because they have the same bottom degrees
Step-by-step explanation:
The Spanish club raised $131.25 by having a garage sale and car wash. The amount raised at the car wash was half the amount raised at the garage sale. How much was raised at each event
Answer:
Car Wash: $43.75 and Garage Sale: $87.5
Solve.
x/2 + 8 = 14
x=
PLZ HELP ME QUICKKKKKKKKKKK
Answer:
i guess
Step-by-step explanation:
if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum
formula p= 100 I/RT
100×1050÷7.5×4
105000÷30
p= sh 3500
Find the exact length of the third side.
48
14
Answer:118
Step-by-step explanation:
It has to equal 180 degrees in total so 48+14=62
180-62=118
So the answer is 118
can you help me please? ( I didn't mean to pick a answer)
Answer:
#3:8n-4
Step-by-step explanation:
combine like terms
3n+n=4n
-7+5=-2
4n-2
multiply that by 2 to get the perimeter, which is 8n-4
1.83 x 10^8 is how many times greater than 6.1 x 10^5?
Answer:
1.83 x 10^8 is how many times greater than 6.1 x 10^5?1.83 x 10^8 is how many times greater than 6.1 x 10^5?
Step-by-step explanation:
please help me if you don’t know the answer, please don’t answer it.
Answer:
Step-by-step explanation:
(1/2)/3 = x/4
1/6=x/4
x=4/6 = 2/3
WILL GIVE BRAINLIST IF CORRECT! DUE IN 10 MINS
December 10th . 2020
3. Write an equation for each line.
Answer:
y=4 x= undefined
Step-by-step explanation:
Answer:
red and green line are zero blue and yellow are undefined
Step-by-step explanation:
Question 2 (1 point) Cynthia uses the chart below to find the cost of shipping a package. Write an expression that Cynthia can use to find the cost for a package that weighs w pounds? Shipping Cost Weight (in pounds) Cost (in dollars) 1 6.50 2 13.00 3 19.50 6.50 6.50 w W + 6.50 6.50 - W
Answer:
6.50w
Step-by-step explanation:
Given that :
Weight ________ Cost ($)
1 ______________6.50
2 _____________ 13.00
3 _____________ 19.50
Cost of package that weighs w pounds
If one pound = 6.50
2 pounds = 13.0
Then, the cost per pound = $6.50
Hence, cost of package that weighs w pounds will be ;
$6.50 * w = $6.50w
What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?
Answer:
y = -6x + 7
Step-by-step explanation:
In this question, we need to find the equation of a line with the given information.
We know that the line passes through (2, -5).
We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.
To make it simpler to understand, we can change the equation into slope format:
y = -6x + 6
This means that our new line should have a slope of -6.
With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.
Plug in your slope and coordinates to the y = mx + b equation and solve for b:
-5 = -6(2) + b
-5 = -12 + b
Add 12 to both sides.
7 = b
Our y-intercept would be b.
Now, we can plug in all our information to get our new equation:
y = -6x + 7
Your answer would be y = -6x + 7
If Elena eats 2 servings of granola , how many calories dose she eat?
Answer:
However much calories 1 granola has it would be times 2
Step-by-step explanation:
Answer: 264 calories.
Step-by-step explanation:
Each serving has 132 calories.
39/9 as a repeating decimal
Answer:
4.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
just do it
Find the unit rate. Round to the nearest hundredth, If necessary.
$290 for 12ft
Answer:
24.17
Step-by-step explanation:
Answer:
$24.17 per feet
Step-by-step explanation:
290/12=24.1666...
24.16666 rounds to 24.17
The Equation (y-y1)=m(x-x1) represents the point-slope form of a linear equation.Which equation can be used to find y1?
y1 = m(x – x1) + y
y1 = -mx + mx1 – y
y1 = y – mx + mx1
y1 = -mx – mx1 + y
Answer:
Step-by-step explanation:
The first one
S-2
2 3 4 5
A) y--x-2
C) y = 2x - 2
B) y=-2x - 2
D) y=-2x - 1
Answer:
gmj5
Step-by-step explanation:
t5y6
Kia has 4 necklaces , 7 bracelets ,and 5 rings to bracelets
Answer:
What are you asking?
Step-by-step explanation:
The solution to the system is
( , )
Answer:
x = ½
y = 3
Step-by-step explanation:
—Math0,8 –4x = –0,4y ==> –4x + 0,4y = –0,8
6x + 0,4y = 4,2 ==> 6x + 0,4y = 4,2
______________–
–10x = –5,0
x = –5/–10
x = 1/2
–4x + 0,4y = –0,8
–4(½) + 0,4y = –0,8
–2 + 0,4y = –0,8
0,4y = –0,8 + 2
y = 1,2/0,4
y = 3
x = ½
y = 3
Follow my account^^
2. QS bisects 2 PQR Р S 29° R What is m
Answer:
slope
Step-by-step explanation: