Answer:
The answer is below
Step-by-step explanation:
Given the constraints:
x + 3y≤ 0; x - y ≥ 0 and 3x - 7y ≤ 16.
We have to first plot the constraints using the geogebra online graphing tool. Plotting the constraints gives the solution as:
A(0, 0), B(3, -1) and C(-4, -4).
Next using the optimization equation: z = -x + 5y
At point A(0, 0); z = -0 + 5(0) = 0
At point B(3, -1); z = -3 + 5(-1) = -8
At point C(-4, -4); z = -4 + 5(-4) = -24
Hence the maximum value of Z is 0 and the minimum value of Z is -24.
Suzy has some stickers and a sticker album. if she pastes 7 stickers on each page, she will need 21 more stickers. If she pastes 11 stickers on each page, she will need 81 more stickers. how many pages are there in Suzy's sticker album
Answer:
15 pages
Step-by-step explanation:
let x be the number of pages
7x-21 = 11x-81
4x = 60
x = 15
Solve the inequality 12(1/2 x - 1/3) > 8 - 2x
O A. x>-1
O B. x > 3
O C. X>1/2
O D. x>3/2
Answer:
[tex]D. \\x>\frac{3}{2}[/tex]
Step-by-step explanation:
12(1/2x - 1/3) > 8 - 2x
6x - 4 > 8 - 2x
6x + 2x - 4 > 8 - 2x + 2x
8x - 4 > 8
8x - 4 + 4 > 8 + 4
8x > 12
8x ÷ 8 > 12 ÷ 8
x > 1.5
The formula for the force between two objects is
F=GMm/r^2
,
where M and m are the masses of the two objects, G is a constant, and r is the distance between them. Solve the formula for G.
Here are the multiple-choice answers...
Answer:
G = Fr² / Mm
Step-by-step explanation:
Given:
F = GMm / r²
Where,
F = Force of the two objects
M = mass of object 1
m = mass of object 2
G = constant
r = distance between the objects
Solve the formula for G.
F = GMm / r²
Cross product
F * r² = GMm
Fr² = GMm
Divide both sides by Mm
G = Fr² / Mm
If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?
A) 6/ m+1
B) 6/ m-1
C) 6/ m+n
D) 6/ m-n
[tex]n = \frac{6}{m + 1} [/tex]
Hope it helps you...
The value of n is n= 6/( m+1).
What is expression?An expression is a set of terms combined using the operations +, – , x or , /.
Given:
mn - 3 = 3 - n
mn + n = 6
n(m+ 1) =6
n= 6/( m+1)
Learn more about expression here:
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Is the last question correct? If not then what is the answer? (Last question is the first pic..)
9514 1404 393
Answer:
K+1 ⇒ (K+1)² = K² +2K +1
Step-by-step explanation:
Your first answers are correct. The sum of K odd numbers is K². Replacing K with K+1 in this statement gives you ...
The sum of K+1 odd numbers is (K+1)² = K² +2K +1.
Help Please!!!
Find the volume of the triangle prism?
Answer:
Formula of a triangle:
B(base)H(height) x 1/2
Area of triangle:
8(base) x 13(height) x 1/2(basically just dividing by 2) = 52(area of triangle)
Now we multiply by the actual height of the whole thing
52(area of triangle) x 11(height) = 572 cm3 is your answer.
Answer:
area of base= B=1/2 bh
=1/2×8×13
=52
height of prism=11
volume of prim= Bh
=52(11)
=572 cm³
OAmalOHopeO
If ABCD is dilated by a factor of 3, the
coordinate of C' would be:
5
c
B
2
-6 -5 -4 -3 -2 -1 0
2
3
4
5
-1
-2
A
D
C' = ([?],[])
--3
Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!
Answer:
(4,4)
y = 4
x = 4
Step-by-step explanation:
First we need to input y = 1/2x + 2 into 4x - 2y = 8.
4x - 2 (1/2x + 2) = 8 <-- Then solve
4x - 1x + -4 = 8
3x - 4 = 8
+4 +4
---------------------
3x = 12
3 3
x = 4
Now we need to use x and apply it to find y.
y = 1/2x + 2
y = 1/2(4) + 2
y = 2 + 2
y = 4
Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.
You need to graph the point (4,4).
I hope this helps!
Answer:
see graph (4,4)
to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)
do for both points , and draw al LINE between them...
repeat fore the second equation... the "solution" is where the two lines cross
Step-by-step explanation:
Final
Lines L and M are parallel.
34
2/5
16
38° 7
-L
>M
Find : m_6
Cotor the
Answer:
38
Step-by-step explanation:
Angle 6 is alternate to the angle that is given as 38 degrees because line L is parallel to line M so their measure is equal.
A basketball team received a care package and split it evenly among
5 players. If each player received 9 candy bars, how many candy bars
were in the care package?
Help please
Answer:
45
Step-by-step explanation:
9x5
PGCPS ALGEBRA 1 CR (SUMMER 2021) 793023
Solve the equation
Use the equation solver to find the value of x that
makes the mathematical statement true.
1. For parentheses:
Distribute
O 0.5
0Bx93 94-03-17
63x93 126-17
• 17x
17x
O 0.5
2 If necessary
Combine Terms
O 0.87
O 1.5
23 Bx9326
-93 -93
2388
- 119
• 238
• 238
2. Apply properties:
Add Subtract
Multiply
Divide
05
To start over
Reset
You have solved the equation
Show Me
(1) Intro
✓ Done
Previous Activity
1 of 10
Answer:
See explanation
Step-by-step explanation:
The texts in the question is distorted and unclear; So, I will provide a general explanation of solving an equation with 1 variable.
A similar question that can be found online is:
[tex]8x - 8 = 4x + 12[/tex] --- to solve for x
First, collect all like terms
[tex]8x - 4x = 8 + 12[/tex]
Distribute the expression on the left-hand side
[tex]x(8 - 4) = 8 + 12[/tex]
[tex]x * 4 = 8 + 12[/tex]
Simplify like terms
[tex]x * 4 = 20[/tex]
Divide both sides by 4
[tex]x = 5[/tex]
If today is Tuesday, May 6, this year July 4 will fall on a _____
(A) Sunday
(B) Monday
(C) Thursday
(D) Friday
Answer:
July 4th will fall on Sunday
The date, July 4 will be Friday, the correct option is D.
What are Calendars?Calendars represent an year of 12 months, each month has 30 or 31 days, exceptionally February has 28 days.
If today is Tuesday, May 6,
Every 7th day is going to be a Tuesday .
From May 6 to July 4, the number of days is 59
Hence we divide 59 by 7. Quotient = 8 Remainder = 3
7 x 8 = 56
56 th day is Tuesday
57 th day is Wednesday
58th day vis Thursday
59th day is Friday
To know more about Calendars
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Write the expression as a complex number in standard form.
( 7 - 4i ) + ( 8 + 6i )
(Please don't spam anything for points, and could you leave an explanation as well? Thanks!)
Answer:
15+2i
Step-by-step explanation:
Hi there!
We are given the following expression:
(7-4i) + (8+6i)
And we want to write it as a complex number in standard form
Standard form is a+bi, where a is the real part of the number and bi is the imaginary part of the number.
We can open up the parentheses on the expression
7-4i+8+6i
Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)
15+2i
The complex number is now in standard form
Hope this helps!
Oliver invested $970 in an account paying an interest rate of 7 1/2 % compounded continuously. Carson invested $970 in an account paying an interest rate of 7 3/8% compounded annually. To the nearest of a hundredth of a year, how much longer would it take for Carson's money to double than for Oliver's money to double?
Answer:
0.50 or about half a year longer.
Step-by-step explanation:
We can write an equation to model bot investments.
Oliver invested $970 in an account paying an interest rate of 7.5% compounded continuously.
Recall that continuous compound is given by the equation:
[tex]A = Pe^{rt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, and t is the time in years.
Since the initial investment is $970 at a rate of 7.5%:
[tex]A = 970e^{0.075t}[/tex]
Carson invested $970 in an account paying an interest rate of 7.375% compounded annually.
Recall that compound interest is given by the equation:
[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]
Where A is the amount afterwards, P is the principal amount, r is the rate, n is the number of times compounded per year, and t is the time in years.
Since the initial investment is $970 at a rate of 7.375% compounded annually:
[tex]\displaystyle A = 970\left(1+\frac{0.07375}{1}\right)^{(1)t}=970(1.07375)^t[/tex]
When Oliver's money doubles, he will have $1,940 afterwards. Hence:
[tex]1940= 970e^{0.075t}[/tex]
Solve for t:
[tex]\displaystyle 2 = e^{0.075t}[/tex]
Take the natural log of both sides:
[tex]\ln\left (2\right) = \ln\left(e^{0.075t}\right)[/tex]
Simplify:
[tex]\ln(2) = 0.075t\Rightarrow \displaystyle t = \frac{\ln(2)}{0.075}\text{ years}[/tex]
When Carson's money doubles, he will have $1,940 afterwards. Hence:
[tex]\displaystyle 1940=970(1.07375)^t[/tex]
Solve for t:
[tex]2=(1.07375)^t[/tex]
Take the natural log of both sides:
[tex]\ln(2)=\ln\left((1.07375)^t\right)[/tex]
Simplify:
[tex]\ln(2)=t\ln\left((1.07375)\right)[/tex]
Hence:
[tex]\displaystyle t = \frac{\ln(2)}{\ln(1.07375)}[/tex]
Then it will take Carson's money:
[tex]\displaystyle \Delta t = \frac{\ln(2)}{\ln(1.07375)}-\frac{\ln(2)}{0.075}=0.4991\approx 0.50[/tex]
About 0.50 or half a year longer to double than Oliver's money.
(–6s2 + 12s – 8) – (3s2 + 8s – 6) =
Answer:
[tex]{ \tt{( - 6 {s}^{2} + 12s - 8) - (3 {s}^{2} + 8s - 6) }} \\ = { \tt{ - 9 {s}^{2} + 4s - 2 }}[/tex]
Answer:
4s - 2 - 9s²
Step-by-step explanation:
(–6s2 + 12s – 8) – (3s2 + 8s – 6)
= -6s²+ 12s - 8 - 3s²- 8s + 6
= 12s - 8s - 8 + 6 - 6s² -3s²
= 4s - 2 - 9s²
What is the length of BC? Round to the nearest tenth.
Answer:
BC ≈ 14.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )
16 × sin65° = BC , then
BC ≈ 14.5 cm ( to the nearest tenth )
Guys please help me find the answer
Given
Value of Boat = $23,000
Rate = 18% per year
Time = 5 years
y = 23000(1-18/100)⁵
= 23000(82/100)⁵
So y = 23000 (0.82)
x = 5
Answered by Gauthmath must click thanks and mark brainliest
Find the missing side lengths
Answer:
x = 11√3
y = 11
Step-by-step explanation:
Let 60 be the reference angle
sin 60 = p/h
√3/2 = x/22
or, 22√3 = 2x
or, x = (22√3)/2
so, x = 11√3
now
[tex]h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11[/tex]
A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?
600 in.2
1,038 in.2
1,200 in.2
2,076 in.2
Answer:
B
Step-by-step explanation:
A=(3*sqrt(3)*a^2)/2
A=(3*sqrt(3)*400)/2=1038
Answer:
B. 1,038 in.2
Step-by-step explanation:
I need helppppp!!!!!!!!
Answer:
√124
Step-by-step explanation:
Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2
x^2 + (√101)^2 = 15^2
x^2 = 15^2 - (√101)^2
x^2 = 225 - 101
x^2 = 124
x = √124
The answer is √124
If there were 36 candies and only 12 children, how many candies would each child get?
Answer:
3 each
Step-by-step explanation:
36 / 12 = 3
.................................................
Divide
(16x^2 + 16x^3 –6x)➗(6x–2)
ANSWER: [tex]\frac{8x^2}{3} + \frac{32x}{9} +\frac{5}{27} +\frac{10}{27(6x-2)}[/tex]
GOOD LUCK, I hope this helped!
In a triangle ABC, angle BAC = 53° and angle ACB = 28°. If AB is produced to D, find angle CBD.
Angle CBD= 81°
I hope it helps you...
Answer:
81
Step-by-step explanation:
∠CBD is the exterior angle of the ΔABC.
Exterior angle property:
Exterior angle equals the sum of opposite interior angles.
∠CBD = ∠ABC + ∠ACB
= 53 + 28
= 81°
Can someone explain and give an example of spurious correlation?
Answer:
A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!
Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.
Step-by-step explanation:
Round 74.164 to the nearest whole.
Answer: [tex]\bf 7\underline4 . 164 \approx 74[/tex]
Step-by-step explanation:
Answer:
74
Step-by-step explanation:
Keep in mind you're rounding rules!
Un chip tiene un espesor de 0,12 mm y un atomo de cobre mide 0,00000000133 m.¿cuantos atomos se necesita para alinearlos en el espesor de un chip de celular uno a continuacion de otro
Answer:
El espesor de un chip es de 0.12mm
Y el diámetro de un átomo de cobre, mide aprox:
0.00000000133 m
Queremos saber cuantos átomos deberemos alinear de tal forma que la "cadena" de átomos de cobre mida 0.12mm
Eso es equivalente a ver cuantas veces entra 0.00000000133 m en 0.12mm
Primero, escribamos ambos valores en las mismas unidades, sabiendo que:
1m = 1000mm
Podemos reescribir:
0.00000000133m = 0.00000000133*(1000 mm) = 0.00000133mm
Entonces tenemos que ver cuantas veces entra 0.00000133mm en 0.12mm
Esto sera igual al cociente entre 0.12mm y 0.00000133mm, esto es:
N = (0.12mm)/(0.00000133mm) = 90,225.6
Redondeamos al próximo número entero:
N = 90,226
Esa es la cantidad de átomos que se necesitan.
Do you remember how to solve a multistep linear equation with variables on both sides? Review with a Quick Check.
Solve:
5(a−1)−15=3(a+2)+4
Answer:
Step-by-step explanation:
5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition
5a -5 -15 = 3a +6 + 4, isolate the variable on one side
5a -3a = 6 +4 +5 +15, combine like terms
2a = 30, divide both sides by 2
a= 15
4x-2y=10
y=-2x-5
A.(-1,-3)
B.(-1,-6)
C.(3,1)
D.(-3,-1)
Answer:
D.-3,-1 for 4x-2y=10 y=2x-5
Please help me answer this question thank you :)
Answer:
A.
[tex]f(x) = \frac{ \sqrt[3]{x} }{5} \: { \bf{and}} \: g(x) = 5 {x}^{3} [/tex]
Step-by-step explanation:
Consider f(x) as the original function:
[tex]{ \tt{f(x) = \frac{ \sqrt[3]{x} }{5} }}[/tex]
Let the inverse be m:
[tex]{ \tt{g(x) = f {}^{ - 1} (x) = m}} \\ { \tt{m = \frac{ \sqrt[3]{x} }{5} }} \\ { \tt{5m = \sqrt[3]{x} }} \\ { \tt{x = 5m {}^{3} }} \\ therefore : \\ { \tt{g(x) = 5 {x}^{3} }}[/tex]
PLEASE HELP ME! I REALLY NEED HELP
Answer:
a)
(i) 5.8 hours
(ii) 6.5 hours
(iii) 6 hours
(iv) 6 hours
b) 180 hours