Answer:
I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.
Step-by-step explanation:
idk if that's the same question i had, but that was the answer for mine. hehehe good luck.
is that on edge?
Jonathan is shopping for a frame for a square painting. Each side measures 9.5 inches. What is the perimeter of the painting?
Plz help!!! (Picture included)
Answer:
12.8
Step-by-step explanation:
First cube the 3 to get 27.
Then, multiply 2 by 12/5 to get 24/5.
Remove the parentheses and then add 27 with 6 to get 33.
Then divide -24 by 5 to get -4.8.
Add -4.8 with 33 to get 28.2.
Then subtract 15.4 from 28.2 to get 12.8
Let g be the function given by g(x) = x^4-3^3-x. What are all values of x such that g'(x)=1/2
Answer:
The answer is "[tex]x= \frac{\sqrt[3]{3} }{2}[/tex]"
Step-by-step explanation:
Given:
[tex]\to g(x) = x^4-3^3-x \\\\\to g'(x) = \frac{1}{2}\\\\x=?[/tex]
Solve:
[tex]\to g(x) = x^4-3^3-x\\\\\to g(x) =x^4 -27-x \\\\\to g(x) =x^4 -x-27[/tex]
differentiate the above equation:
[tex]\to g'(x) = 4x^3- 1[/tex]
Given that:
[tex]\to g'(x)= \frac{1}{2}[/tex]
[tex]\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}[/tex]
Mr.Ramirez purchased 20 concerts
Answer:
and then what?
Step-by-step explanation:
In psychological theory, there are 66 types of basic instincts in a human being, and personality is determined by the presence or absence (2(2 choices) of these 66 basic instincts. How many different types of personalities can be identified
Answer:
2145
Step-by-step explanation:
Given that:
Number of basic instincts present = 66
Number of choices = 2
Using combination :
nCr = n! / (n - r)! r!
66C2 = 66! / (66 - 2)!2!
66C2 = 66! / 64!2!
66C2 = (66 * 65) / 2
66C2 = 2145 different personalities
If Jo drives 357 miles and uses 17 gallons of gas how many miles per gallon did he get? How far could Jo go on 50 gallons of gas?
He got 21 miles per gallon, which mean he would be able to go 1,050 miles with 50 gallons of gas.
Answer:
(a) 21 miles per gallon. (b) 1050 miles.
Step-by-step explanation:
357 / 17 = 21 miles per gallon.
21 * 50 = 1050 miles.
(x4)2
Find the product
Answer:
8
x
Step-by-step explanation:
pretend the 8 is a exponent
Answer:
[tex]x^{8}[/tex]
Step-by-step explanation:
whenever exponents are separated by parentheses, multiply them
example: [tex](4x^{3})^2[/tex] = [tex]4^{2}[/tex]·[tex]x^{6}[/tex] = 16[tex]x^{6}[/tex]
If DF=61 and EF=18 find DE.
Answer:
43
Step-by-step explanation:
x + 18 = 61 (we're given the total length and one part, so it can be rewritten like this!)
x = 43
hope this helps!
pls help....thanks..
Answer:
Hey there!
The answer is 120 because 10x12 + 120.
Hope this helps
Find the value of 9u - 6 given that -2u+2=6
Answer:
The value of 9u - 6 is -24
Step-by-step explanation:
Let us solve the question
∵ -2u + 2 = 6
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ -2u + 2 - 2 = 6 - 2
∴ -2u = 4
→ Divide both sides by -2 to find the value of u
∵ [tex]\frac{-2u}{-2}[/tex] = [tex]\frac{4}{-2}[/tex]
∴ u = -2
∵ The given expression is 9u - 6
→ Substitute u by -2 to find the value of the given expression
∴ 9u - 6 = 9(-2) - 6
∴ 9u - 6 = -18 - 6
∴ 9u - 6 = -24
∴ The value of 9u - 6 is -24
100 POINTS PRE-CALCULUS
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
are the component forms for the air and wind vectors.
The ground speed, G, of the plane is given by
.
Answer:
not sure for the 1st one but pretty sure 2nd one is B
Step-by-step explanation:
The ground speed (G) is given as
[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex].
The correct potion is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.
It means the airplane is flying in the opposite direction of the wind.
The component of an airplane will be
[tex]\rm x = - 600\ sin 30\\\\x = - \dfrac{600}{2}= -300\\\\y = -600 \ cos30\\ \\y= -\dfrac{600 \sqrt{3}}{2}[/tex]
The component of wind will be
[tex]\rm x = 40 cos 60\\\\x = \dfrac{40}{2} = 20 \\\\y = 40sin 45\\ \\y= \dfrac{40\sqrt3}{2}[/tex]
Then the ground speed will be
[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex]
Then the correct potion is B.
More about the vector link is given below.
https://brainly.com/question/13188123
During a sale, a dress is sold at discount of 15%. The original price of the dress is $ 60. What is the price of the dress after discount?
Fill in the table using this function rule y=-6x-2 -1,0,1,5
Answer:
-1 = 4
0 = -2
1 = -8
5 = -32
Step-by-step explanation:
trust
Which system of equations is graphed below?
Answer:
Step-by-step explanation:
the red line looks like it's y = -3/4x +1
the blue line looks like it's y = x - 6
Maybe in the picture all the choices are not seen?
Tim knows that he can travel a distance of 240 miles when his car’s gas tank is filled to its capacity. The capacity of his car’s gas tank is 12 gallons. Which best describes the domain of the function? only integers where 0 ≤ d ≤ 12 only integers where 0 ≤ , d , ≤ 12 only integers where 0 ≤ d ≤ 240 only integers where 0 ≤ , d , ≤ 240 all real numbers where 0 ≤ d ≤ 12 all real numbers where 0 ≤ , d , ≤ 12 all real numbers where 0 ≤ d ≤ 240
Answer:
Step-by-step explanation:
0 ≤ d ≤ 12 all real
I NEED HELP ASAP PLEASE !!!! If point B 1,2 is reflected across the x axis what will be its new position
A. 1,-2
B 2,-2
C 1,2
D -1 , 2
Answer:
the answer is D
Step-by-step explanation:
I hope this helpsbuuu
Can someone please help!!
Answer:
AB = 3 and AC = 4
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{WX}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values
[tex]\frac{AB}{30}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )
30AB = 90 ( divide both sides by 30 )
AB = 3
and
[tex]\frac{AC}{XY}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values
[tex]\frac{AC}{40}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )
30AC = 120 ( divide both sides by 30 )
AC = 4
Answer:
AB = 3AC = 4Step-by-step explanation:
Let AB = xLet AC = yGiven
ΔWXY ~ ΔBAC
Therefore, the triangles are similar, so corresponding sides would be in the same ratio, so
WY/ BC = XW/AB
substitute WY = 30, BC = 3, XW = 30, AB = x
30 / 3 = 30 / x
x = [30 × 3] / [30]
x = 90 / 30
x = 3
Thus,
AB = 3
now
WY/ BC = XY/AC
substitute WY = 30, BC = 3, XY = 40, AC = y
30 / 3 = 40 / y
y = [40 × 3] / [30]
y = 120 / 30
y = 4
Thus,
AC = 4
Therefore,
AB = 3AC = 4(2⁵ + 14 ÷ 2) • 2 pls help ;-;
Answer:
78
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
(2⁵ + 14 ÷ 2) · 2
Step 2: Evaluate
[Parenthesis] Exponents: (32 + 14 ÷ 2) · 2[Parenthesis] Divide: (32 + 7) · 2[Parenthesis] Add: 39 · 2Multiply: 78pls help!! I need this answer asap! and I need to find the area in this so it would be great if one of you guys could help thank you!!!
Answer:
63 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 9 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 9 = 7 × 9 = 63 m²
The perimeter of the triangle shown below is 37 centimeters. Find the value of x.
2r + 1
3x
2(x + 4)
Answer:
4
Step-by-step explanation:
Perimeter of triangle = 2x + 1 + 3x + 2(x + 4)
= 2x + 1 + 3x + 2x + 8
= 7x + 9
7x + 9 = 37
7x = 37 - 9
= 28
x = 28 ÷ 7
x = 4
PLEASE HELP!!!!!! 30 POINTS
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answer:
y+5=2⋅(x+2)
Step-by-step explanation:
Select ALL figures that are similar to parallelogram P
Answer:
A & C
Step-by-step explanation:
A is similar to P
C is also similar because it has same size of diameters
help me if you can plss BRAINLYEST
Answer:
The answer is 81
Step-by-step explanation:
prove me wrong
Answer:
Choice D
Step-by-step explanation:
For this you have to distribute the exponent on the outside to the inside. So we will multiply 4 and [tex]\frac{1}{4}[/tex]. That will equal 1. So now we have [tex](81^1)[/tex] and anything to the power of 1 is itself. So the answer is 81.
What is eight and two ninths subtracted by 2 and seven ninths
Answer:
5 4/9
Step-by-step explanation:
8 2/9 - 2 7/9
Converting the numbers from mixed Fraction :
(74/9 - 25/9)
L.C.M = 9
(74 - 25) / 9
= 49 / 9
= 5 4/9
Solve the system of equations below
Answer:
The answer is B. (-7,-2)
Step-by-step explanation:
Multiply the first equation by 7,and multiply the second equation by -6.
7(−3x+6y=9)
−6(5x+7y=−49)
Becomes:
−21x+42y=63
−30x−42y=294
Add these equations to eliminate y:
−51x=357
Then solve−51x=357for x:
−51x=357 Divide both sides by -51
x=-7
Write down an original equation:
−3x+6y=9
Substitute−7forxin−3x+6y=9:
(−3)(−7)+6y=9
6y+21=9(Simplify both sides of the equation)
6y+21+−21=9+−21(Add -21 to both sides)
6y=−12
y=-2
Answer:
-7-2
Step-by-step explanation:
Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amount of $1.00 at 5.5 Percent compounded Daily”. A). What amount will he have in his account 28 later ? B.) How much will be compound interest ?
Answer:
A) Amount = $ 116,601.31
B) Compound Interest = $ 91,601.31
Step-by-step explanation:
Compound interest Formula
A = P(1 + r/n)^nt
Where
P = Initial amount invested = $25,000
r = interest rate = 5.5 %
n = Compounding frequency = daily
t = time in years = 28 years
A). What amount will he have in his account 28 years later ?
First, convert R percent to r a decimal
r = R/100
r = 5.5%/100
r = 0.055 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.000150685/365)^(365)(28)
A = $ 116,601.31
B.) How much will be compound interest ?
I = Amount - Principal
A(Amount ) = $ 116,601.31
P (principal) = $ 25,000.00
I = $ 116,601.31 - $ 25,000.00
I (interest) = $ 91,601.31
PLease this is so easy I promise
Answer:
1/1
2/1
Step-by-step explanation:
The teather has 384 seats. Each row has 16 seats. The area model represents the situation. How many rows of seats are inside the theather?
Answer:
24 rows of seats
Step-by-step explanation:
384/16 Equation ( 384 in all, and 16 in each)
24 Solve
The population of a town decreases exponentially at a rate of 1.7% per year.
The population now is 250 000. Calculate the population at the end of 5 years
Give your answer correct to the nearest hundred.
Answer: 229,500 people to the nearest hundred
Step-by-step explanation:
Population decreases exponentially at 1.7% per year in a town that is currently 250,000 in number.
Population in 5 years = 250,000 * ( 1 - 1.7%) ⁵
= 250,000 * 0.917841286185143
= 229,460
= 229,500 people to the nearest hundred
3.1(g-7)-1=5.2 what is G
Answer:
g = 8.7
Step-by-step explanation:
3.1 (g - 7) = 5.2
Multiply by 3.1
3.1g - 21. 7 = 5.2
Add 21.7 to both sides
3.1g = 5.2 + 21.7
3.1g = 26.9
Divide both sides by 3.1
g = 26.9 / 3.1
g = 8.677 = 8.7