Answer:
The answer would be D
Step-by-step explanation:
I did the quiz
Step-by-step explanation:
n(u)=200
no(A)=80
no(B)=75
ii) Using both brand=200-80-75
=45
iii)n(A)=80+45
=125
iv)n(B)=75+45
=120
Solve:
all real numbers
no solution
Please help
Answer:
In a problem where you
calculate the "solution" to a "system of equations"
one of three things will happen....
#1) you end up with x=3 , or y=7 .. or something like that
if that happens then there is ONE SOLUTION
#2) you end up with 5=5, or 7=7 , or 0=0
in this case the lines are the same and you have "all real numbers" as the solution (there are an infinite number of solutions, the lines are the same line)
#3) you end up with 1=2, 0=5, 2=7, etc. this is impossible, there are no solutions ... the lines are parallel
Step-by-step explanation:
The rate (In mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function 110I 12 +1+ 9 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?
Answer:
P is maximum at I = 2
Step-by-step explanation:
Here is the complete question
The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 100I/(I² + I + 4) where I is the light intensity (measured in thousands of foot candles). For what light intensity P is a maximum?
To find the value of I at which P is maximum, we differentiate P with respect to I and equate it to zero.
So, dP/dI = d[100I/(I² + I + 4)]/dI
= [(I² + I + 4)d(100I)/dI - 100Id(I² + I + 4)/dI]/(I² + I + 4)²
= [(I² + I + 4)100 - 100I(2I + 1)]/(I² + I + 4)²
= [100I² + 100I + 400 - 200I² - 100I]/(I² + I + 4)²
= [-100I² + 400]/(I² + I + 4)²
= -100[I² - 4]/(I² + I + 4)²
Since dP/dI = 0, -100[I² - 4]/(I² + I + 4)² = 0 ⇒ I² - 4 = 0 ⇒ I² = 4 ⇒ I = ±√4
I = ±2
Since I cannot be negative, we ignore the minus sign
To determine if this is a maximum point, we differentiate dP/dI. So,
d(dP/dI)/dI = d²P/dI² = d[-100[I² - 4]/(I² + I + 4)²]/dI
= [(I² + I + 4)²d(-100[I² - 4])/dI - (-100[I² - 4])d(I² + I + 4)²/dt]/[(I² + I + 4)²]²
= [(I² + I + 4)²(-200I) + 100[I² - 4]) × (2I + 1) × 2(I² + I + 4)]/(I² + I + 4)⁴
= [-200I(I² + I + 4)² + 200[I² - 4])(2I + 1)(I² + I + 4)]/(I² + I + 4)⁴
= [-200(I² + I + 4)[I(I² + I + 4) - [I² - 4])(2I + 1)]]/(I² + I + 4)⁴
= [-200(I² + I + 4)[I³ + I² + 4I - I² + 4])(2I + 1)]]/(I² + I + 4)⁴
= [-200(I² + I + 4)[I³ + 4I + 8])(2I + 1)]]/(I² + I + 4)⁴
Substituting I = 2 into d²P/dI², we have
= [-200(2² + 2 + 4)[2³ + 4(2) + 8])(2(2) + 1)]]/(2² + 2 + 4)⁴
= [-200(4 + 2 + 4)[8 + 8 + 8])(4 + 1)]]/(4 + 2 + 4)⁴
= [-200(10)[24](5)]]/(10)⁴
= -240000/10⁴
= -24
Since d²P/dI² = -24 < 0 at I = 2, this shows that it I = 2 is a maximum point.
So, P is maximum at I = 2
Need answer :))))))))
Answer:
cost per serving can be used as a result of using your head to think
x = 4y + 3, 2x + y = -3
System of Equations
Answer:
(- 1, - 1 )
Step-by-step explanation:
Given the 2 equations
x = 4y + 3 → (1)
2x + y = - 3 → (2)
Substitute x = 4y + 3 into (2)
2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side
8y + 6 + y = - 3
9y + 6 = - 3 ( subtract 6 from both sides )
9y = - 9 ( divide both sides by 9 )
y = - 1
Substitute y = - 1 into (1) for corresponding value of x
x = 4(- 1) + 3 = - 4 + 3 = - 1
solution is (- 1, - 1 )
Find the value of x.
a. 22.5
b. 7
c. 9.28
d. 21.125
Answer:
7
Step-by-step explanation:
Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In this case:
(4x + 7) + (97) = (17x + 13)
4x + 104 = 17x + 13
4x + 91 = 17x
91 = 13x
7 = x
Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment.
Answer: random sampling
Step-by-step explanation:
Because psychologists generally use college students as research participants, the research does not involve random sampling.
Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.
Solve the equation and enter the value of x below. 7(x + 9) + 5 = 96
Hello!
[tex]\large\boxed{x = 4}[/tex]
7(x + 9) + 5 = 96
Distribute:
7x + 63 + 5 = 96
Combine like terms:
7x + 68 = 96
Subtract 68 from both sides:
7x = 28
Divide both sides by 7:
x = 4
Answer:
[tex]\fbox{x = 7}[/tex]
Step-by-step explanation:
7(x + 9) + 5 = 96
Solve for x.
7(x + 9 ) + 5 = 96Step 1 :- Distribute 7.
7 × x + 7 × 9 + 5 = 967x + 63 + 5 = 96Step 2:- Add 63 and 5.
7x + 68 = 96Step 3 :- Move constant to the right-hand side and change their sign.
7x = 96 - 68Step 4 :- Subtract 68 from 96.
7x = 28Step 5 :- Divide both side by 7.
[tex]\frac{7x}{7} \\ [/tex] = [tex]\frac{ 28} {7}\\[/tex] x = 41.Una granja tiene gallinas y vacas. En total hay 58 cabezas y 168 patas. ¿Cuántos gallinas y cuantas vacas hay?
Answer:
no c
Step-by-step explanation:
Dora travels between the two mile markers shown and then finds her average speed in miles per hour. Select the three equations that represent this situation.
The image of the 2 mile markers is missing as well as the options and so i have attached them.
Answer:
> 1.5 hours = 105 miles/speed
> Speed = 105 miles/1.5 hours
> 105 miles = 1.5 hours × speed
Step-by-step explanation:
From the image attached, the distance of the first mile marker is given as 50 miles while the distance of the second mile marker is given as 155 miles.
Thus, difference in distance between the two markers; d = 155 - 50 = 105 miles
Also, we see that the time of first marker is 3 pm while the second marker is 4:30 pm.
Thus, difference in time = 4:30 - 3 = 1 hour 30 minutes or 1.5 hours.
We know that;
Speed = distance/time
Thus;
Speed = 105/1.5
Speed = 70 mph
Thus, the 3 equations that represent this situation from the options are;
> 1.5 hours = 105 miles/speed
> Speed = 105 miles/1.5 hours
> 105 miles = 1.5 hours × speed
Answer:
1.5 hours = 105 miles/speed
Speed = 105 miles/1.5 hours
105 miles = 1.5 hours × speed
Step-by-step explanation:
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Answer:
Step-by-step explanation:
so they used a total of 560 units
we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula
0.1(x-360+54)
0.1(560-360) + 54 = monthly bill
20+54 = monthly bill
74 = monthly bill
answer D looks good
Solve for 0 or x, round to the nearest tenth.
Answer:
theta = 44.4 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig formulas
cos theta = opposite/ hypotenuse
cos theta = 15/21
Take the inverse of each side
cos^ -1 (cos theta) = cos ^-1 (15/21)
theta =44.4153086
theta = 44.4 degrees
Una persona va a solicitar un prestamo en el banco de 35,000 pesos, con una tasa de interes del 3% va a pagar en 5 años cual sera el interes que pagara la persona?
Respuesta:
5250
Explicación paso a paso:
Dado que :
Importe del préstamo, principal, p = 35000
Tasa de interés, r = 3% = 0.03
Tiempo, t = 5 años
Usando la fórmula de interés simple:
Interés = principal * tasa * tiempo
Interés = 35000 * 0.03 * 5
Intereses = 5250 pesos
I need help with this it’s saying the “blank” Method would be the best for solving this system of equations
6x + 4y=8
-x+4y=12
Answer:
-12+4y=x..............1
6(-12+4y)+4y=8
-72+24y+4y=8
28y=80
y=3.33
-12+4(3.33)=x
1.32=x
Given the function (Image below) [Algebra ll]
HELP ME ASAP NO LINKS
Which student's expression results in a quotient of 12.5?
KWAN
VERA
16.25 : 1.3
- 11.25 = (-9)
Mark only one oval.
0000
a. Kwan's only
b. Vera's only
c. Both Kwan and Vera's
d. Neither Kwan nor Vera's
Answer:
I wanna say its B. Vera's only
If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .
Answer:
[tex]2y^2-7y+6=0[/tex]
Step-by-step explanation:
We are given that [tex]\alpha[/tex] and [tex]\beta[/tex] are the zeroes of the polynomial [tex]6y^2-7y+2[/tex]
[tex]y^2-\frac{7}{6}y+\frac{1}{3}[/tex]
We have to find a quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex].
General quadratic equation
[tex]x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes[/tex]
We get
[tex]\alpha+\beta=\frac{7}{6}[/tex]
[tex]\alpha \beta=\frac{1}{3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3[/tex]
Substitute the values
[tex]y^2-(7/2)y+3=0[/tex]
[tex]2y^2-7y+6=0[/tex]
Hence, the quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex] is given by
[tex]2y^2-7y+6=0[/tex]
what is the answer to x^2-11=25 please
Hey there!
[tex]\mathsf{x^2 - 11 = 25}[/tex]
[tex]\large\textsf{ADD 11 to BOTH SIDES}[/tex]
[tex]\mathsf{x^2 - 11 + 11 = 25 + 11}[/tex]
[tex]\large\textsf{CANCEL out: -11 + 11 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 25 + 11 because that helps solve for the x-value}[/tex]
[tex]\mathsf{25 + 11 = \bf 36}[/tex]
[tex]\large\textsf{NEW EQUATION: }\mathsf{x^2=36}[/tex]
[tex]\large\textsf{Take the square root of the number (36)}[/tex]
[tex]\mathsf{x = \pm \sqrt{36}}[/tex]
[tex]\mathsf{\pm = \boxed{\bf plus-or-minus}}[/tex]
[tex]\mathsf{x = \sqrt{-36}\rightarrow \bf -6}[/tex]
[tex]\large\textsf{or}[/tex]
[tex]\mathsf{x = \sqrt{36} = \bf 6}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf x = 6 or x = -6}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
x² - 11 = 25
Add 11 to both sides.
x² - 11 + 11 = 25 + 11
Cancle out the 11 because when we add -11 to 11 that gives 0. On other side add 25 and 11 we get 36.
x² = 36
Take the square root of both sides of the equation and remember to use both positive and negative roots.
√x² = ± √36
x = ± 6
Write the solutions, one with a+ sign and one with a- sign.
[tex] x_1 = 6[/tex]
[tex]x_2 = -6[/tex]
This equation has two solutions which are :-
[tex] x_1 = 6[/tex]and [tex]x_2 = -6[/tex]
Which of the following is equivalent to 2/x + 3/x−1 for x>1 ?
pls explain
Answer:
Step-by-step explanation:
expand: 4(w - 2)
(with the steps)
Answer:
4w-8
Step-by-step explanation:
4(w-2)
(4*w)-(4*2)
4w-8
Answer:
4w-8
Step-by-step explanation:
4(w - 2)
Distribute
4*w - 4*2
4w-8
im really behind in math what do i do im supposed to be in 8th going into 9th but in6th and still dont understand 6th
Answer:
Try harder at what you do. Talk to your teacher. Go to online study groups. Give me an example of a question and I will help you more.
5x+1=2x-5
I need help
Answer:
x =-2
Step-by-step explanation:
5x+1=2x-5
Subtract 2x from each side
5x-2x+1=2x-2x-5
3x+1 = -5
Subtract 1 from each side
3x+1-1 = -5-1
3x=-6
Divide by 3
3x/3 = -6/3
x = -2
What is the value of d?
A)80
B)100
C)84
D)50
Answer:
100 degrees
Step-by-step explanation:
You can tell by just looking at the picture :)
Tell whether each probability of the event happening is likely or unlikely to happen. Write L if it is likely to happen and U if unlikely to happen on the space before each number.
__ 1. 2:3
__ 2. 4:15
__ 3. 3/10
__ 4. 13/21
__ 5. 6/16
__ 6. 8:11
__ 7. 9:20
__ 8. 11:25
__ 9. 5/16
__ 10. 7/12
__ 11. 6:13
__ 12. 4:9
__ 13. 2:5
__ 14. 19/45
__ 15. 12/25
Please make it quick
Answer:
1.likely. 11.likely
2. likely. 12.likely
3. likely. 13.likely
4. unlikely 14. unlikely
5. likely. 15. likely
6. likely
7. likely
8. likely
9. likely
10. likely
Step-by-step explanation:
im correct if I'm rwong
Find the length of side xx in simplest radical form with a rational denominator.
Explanation:
For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.
The length of x is 6.
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'
According to the given problem,
Perpendicular = 3
Hypotenuse = x
We know,
sin∅ = [tex]\frac{perpendicular}{hypotenuse}[/tex]
∅ = 30°
⇒ sin30 = [tex]\frac{3}{x}[/tex]
⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex] [ sin30 = [tex]\frac{1}{2}[/tex] ]
⇒ x = 3 * 2
⇒ x= 6
Hypotenuse = 6
Applying Pythagoras theorem:
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 6² = 3² + Base²
⇒ 6² - 3² = Base²
⇒ Base² = 25
⇒ Base = √25
⇒ Base = 5
Hence, we can conclude the value of x to be 6.
Learn more about right-angled triangle here:
https://brainly.com/question/3770177
#SPJ2
Please help!!
What is the formula that is used for DISCOUNT SALES?
Answer:
discounted price = original price ( 1 - discount rate)
Step-by-step explanation:
Lol do yu guys know this?? plz help
Answer: Choice C. 32,768
Explanation:
2.5 hours = 2.5*60 = 150 minutes
150/10 = 15
There are 15 periods that are 10 minutes each in a 2.5 hour timespan.
y = a*b^x
y = 1*2^15
y = 32,768
If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.
Translate the sentence into an equation.
Nine times the sum of a number and 4 is 3.
Please help me!!! ASAP!
Which table represents a linear function?
A. X. Y
2. -46
4. -18
6. 58
B. X. Y
2. -2
4. 4
6. 14
C. X. Y
2. 11
4. 14
6. 17
D. X. Y
2. -6
4. 6
6. 26
Answer:
ans is C................
Question 4 (True/False Worth 4 points)
(0701)
True or False?
is a solution to the inequality 12+2 < 12
True
O False
What is 120 US fl oz in US liquid quarts
3.75 quarts
Brainly plz and thank you