Answer:
84
Step-by-step explanation:
Let x = the test
(x + x + ( x - 6))/3=82
((3x - 6)/3) • 3= 82 • 3
3x - 6 + 6 = 246 + 6
3x = 252
3 3
x = 84
A researcher observes the level of aggression of six 5-year-old boys over the course of a school day. The number of incidents for the group of boys was 2, 4, 6, 12, 8, 10. What is the mean number of aggressive acts for this group of children?
a) 9
b) 5
c) 7
d) 4
Answer:
[tex]Mean = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 2, 4, 6, 12, 8, 10.[/tex]
Required
Determine the mean
The mean of a data is calculated as thus:
[tex]Mean = \frac{\sum x}{n}[/tex]
In this case:
[tex]n = 6[/tex]
So, the formula becomes:
[tex]Mean = \frac{2+4+6+12+8+10}{6}[/tex]
[tex]Mean = \frac{42}{6}[/tex]
[tex]Mean = 7[/tex]
Consider the following pieces of identification a person might have in order to apply for a credit card:
B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license
Write Logical expressions
1. The applicant must present either a birth certificate, a drivers license or a marriage license.
2. The applicant must present any two of the following forms of identification: birth certificate, drivers license, marriage license
3. Applicant must present either a birth certificate or both a drivers license and a marriage license
Answer:
B v D v M ;
(B ٨ M) V (B ٨ D) V (M ٨ D) ;
B V (D ٨ M)
Step-by-step explanation:
Given :
B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license
1.)
This means that any one of the three must be presented :
Birth certificate OR Driver's license OR Marriage certificate
B v D v M
2.)
This means any two combination of the three certificates :
(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)
(B ٨ M) V (B ٨ D) V (M ٨ D)
3.)
That is birth certificate alone will suffice or a driver's incense and a marriage certificate
B V (D ٨ M)
An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function below, where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars.
m(x) = 20x - 5x^3/4 + 0.01x^2
The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell x(p) = 320 - 7.7p planes.
(a) Find the cost, demand (or price), and revenue functions.
C(x) =
p(x) =
R(x) =
(b) Find the production level that maximizes profit.
Planes =
(c) Find the associated selling price of the aircraft that maximizes profit.
= $_______ million
(d) Find the maximum profit.
= $ _______ million
Answer:
[tex](a)[/tex] [tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex]p(x)=320-7.7p[/tex]
[tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]
[tex](b)[/tex] [tex]x=82 \text{planes}[/tex]
[tex](c)[/tex] [tex]p=\$30.91 M\;\; \text{per plane}[/tex]
[tex](d)[/tex] maximum profit [tex]=\$ 15.90M[/tex]
Step-by-step explanation:
Given that,
The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.
The additional cost of manufacturing each plane can be modelled by the function.
[tex]m(x)=20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex](a)[/tex] Find the cost, demand (or price), and revenue functions.
[tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]
[tex]p(x)=320-7.7p[/tex]
[tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]
[tex](b)[/tex] Find the production level that maximizes profit.
[tex]f=R(x)-C(x)[/tex]
[tex]\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)[/tex]
[tex]\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx[/tex]
[tex]x=320-7.7p[/tex]
[tex]p=\frac{320-x}{7.7}[/tex]
[tex]\frac{dp}{dx} = \frac{-1}{7.7}[/tex]
[tex]\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0[/tex]
[tex]\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0[/tex]
[tex]\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0[/tex]
[tex]\Rightarrow x=82 \text{planes}[/tex]
[tex](c)[/tex] Find the associated selling price of the aircraft that maximizes profit.
[tex]p=\frac{320-82}{7.7}[/tex]
[tex]\Rightarrow p=\$30.91 M\;\; \text{per plane}[/tex]
[tex](d)[/tex] Find the maximum profit.
Manufacturing cost of one plane is:
[tex]m(1)=20-5+0.01[/tex]
[tex]=\$15.01 M[/tex]
maximum profit [tex]=\$(30.91-15.01)M[/tex]
[tex]=\$15.90M[/tex]
Help please with both of these questions :(
At the movie theatre, child admission is $5.70 and adult admission is $9.80. On Wednesday, 149 tickets were sold for a total sales of $1222.40. How many child tickets were sold that day?
Answer:
I am not sure but sold of the say 2,334
Answer:
58 child tickets
Step-by-step explanation:
5.7(x)+9.8(149-x)=1222.40
5.7x+1460.2-9.8x=1222.40
1460.2-4.1x=1222.40
-4.1x=-237.8
x=58
7. The unlabeled graph shows the relationship
between two customary units of measure.
Only two pairs of units can be represented
Mini-Task
by the graph.
10
8
6
2
0 24
6
8 10
a. Determine the possible pairs of units.
b. Describe the relationship for each pair.
Answer:
I am not sure about that
4x - 20 =-44 I need the answer ASAP
Answer:
x=8
Step-by-step explanation:
44-20=24
24/4=8
You can use a number line to help you order rational numbers.
True or False
True.
Hope this helped!
Answer:
I would say true
Step-by-step explanation:
ALRIGHT I NEED HELP AGAIN HELP ME STRANGERS
A body has a weight of 10Kg and volume
of 952 cm ^ 3. find out the density body
O 10,5 g/cm^3
O 952 Kg/cm^3
O 1050 g/cm^3
O 10500 kg/cm^3
Please solve the question below 3
Answer:
17》6
18》12
19》8
20》3
21》2
the bar with age 18 this is because as you minus from both sides the middle number will be in age 18
Please help quickly, if someone answers quickly I'll give them Brainly.
Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of 'a' and 'b'? Round round to the nearest tenth if necessary.
Item-
Picture frames
Approximate value-
99
Exact value-
88
Error-
Blank
Absolute error-
Blank
Ratio-
a
percent error-
b
Possible answers:
1. a= 11/99; b= 11.1%
2. a= 11/88; b= 12.5%
3. a= 88/99; b= 88/99%
4. a= 11/11; b= 100%
Step-by-step explanation:
Ratio
= Difference between Prediction and Actual / Prediction
= (99 - 88)/99 = 11/99.
Percentage Error
= Difference between Prediction and Actual * 100%
= (99 - 88) * 100% = 11.1%. (1)
The ratio (a) & percent error (b) will be option A which is a=11/99 and b= 11.11% respectively
Ratio and Percent errorRatio can be defined as difference between approximate value and exact value divided by approximate value.Percent error is ratio multiplied by 100How to solve this problem?Given
Approximate value = 99 frames
Exact value = 88 frames
Ratio (a) = (Approximate value - Exact value) / Approximate value∴ Ratio (a) = (99-88)/99
∴ a = 11/99
Ratio (a) x 100∴ Percent error (b) = (11/99) x 100
∴ b = 11.11%
So, the answer of ratio (a) & percent error (b) will be 11/99 and 11.11% respectively
Learn more about Ratio and percent error here:
https://brainly.com/question/5493941
#SPJ2
brainly solve 100 points
Answer:
1.9059 x 10 -12
Step-by-step explanation:
Solve 3[-x + (2x+ 1)] =X- 1.
x= ?
Answer:
x= -2
Step-by-step explanation:
What is the probability that a point would be in the blue region? Triangle area=bh/2
Answer:
okay so look
Step-by-step explanation:
you calculate the area of the whole square then the area of the triangle , then you subtract the area of the square with the area of the triangle so you'll get the area of the blue region
Use Euler’s Formula to find the missing number.
Faces: _____
Edges: 15
Vertices: 9
Use Euler’s Formula to find the missing number.
Answer:18
#CARRYONLEARNING #STUDYWELLAnswer:
Use Euler’s Formula to find the missing number.
Faces: __8__
Edges: 15
Vertices: 9
Answer is 8
Step-by-step explanation:
Find the missing term.
(Blank) + 7 - 3i) + (5 + 91) + 131 = 10 - 5i.
Options:
-2 - 24i
2 - 12i
-12-24
-2 + 141
Answer:
-2 - 24i
Step-by-step explanation:
a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i
a + bi + 7 + 5 - 3i + 9i + 13i = 10 - 5i
a + bi + 12 + 19i = 10 - 5i
a + bi = 10 - 5i - 12 - 9i
a + bi = 10 - 12 - 5i - 9i
a + bi = -2 - 24i
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
- 5x2 + 2x + 9= 0
factorize
Answer:
Please check the explanation.
Step-by-step explanation:
Given the quadratic equation
5x²−2x−9 = 0
To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.
Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then
ax²+bx+c = a(x-x₁)(x-x₂)
Now,
solving the quadratic function 5x²−2x−9 = 0
[tex]-5x^2+2x+9=0[/tex]
subtract 9 from both sides
[tex]-5x^2+2x+9-9=0-9[/tex]
Simplify
[tex]-5x^2+2x=-9[/tex]
Divide both sides by -5
[tex]\frac{-5x^2+2x}{-5}=\frac{-9}{-5}[/tex]
[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]
Add (-1/5)² to both sides
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]
[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
so solving
[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{\sqrt{46}+1}{5}[/tex]
similarly solving
[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]
Thus, the roots are:
[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]
Conclusion:
Since the roots are irrational, we do not factor further.
Therefore, we leave 5x²−2x−9 as it is.
Help plz:)))I’ll mark u Brainliest
Answer:
Bee is correct .
Step-by-step explanation:
AI thought that while proving congruent , he/she need to look at the closest side.This thinking is wrong.
what is the equation of the line passing through the point (2,-1) with a slope of -3
Note: this answer assumes that the equation of the line must be in slope-intercept form.
Answer:
[tex]y= -3x + 5[/tex]
Explanation:
When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.
The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of
[tex]y-(-1) = -3(x-(2))[/tex]
[tex]y+1 = -3(x-2)[/tex]
Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:
[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]
Therefore, [tex]y= -3x + 5[/tex] is the answer.
how many students passed if the passing percentage is 50%
Answer:
167
Step-by-step explanation:
from 50-60 we have 30 students
60-70. 50 students
70-80. 45 students
80-90. 27 students
90-100. 15 students
30+50+45+27+15= 167
167 students passed
Answer:
167
Step-by-step explanation:
30+50+45+27+15=167
Which system of equations is represented by the graph?
10
8
(4.0)
-10-8
-6 -4 -2
8
1D
(-1,-571
y = x +4
X+4
y =
X+2
y = x - 4
X+4
y =
X+2
y = x + 4
X-4
y =
X+2
y = x - 4
X-4
y =
X+2
Answer:
-6
Step-by-step explanation:
is it
Fourteen out of the twenty people in your class have black hair.
A rectangular garden has a walkway around it. The area of the garden is 6(4.5x +3.5). The combined area of the garden and the walkway is 6.5(6x + 6). Find the area of the walkway around the garden as the sum of two terms. The area of the walkway around the garden is (Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
13x+23.5
Step-by-step explanation: I dont know how to explain
which graph beat represents this system of linear equations and it’s solution
Megan has a bowl containing $1.95 in pennies and dimes. If she has 3 times as many pennies as she has dimes, how many pennies and how many dimes does she have?
Answer: she has 15 dimes and 45 pennies.
Step-by-step explanation:
01p+1d=1.95
p=3d
01(3d)+.1d=1.95
p=3.15
03d+.1d=1.95
p=45
.13d=1.95
d=15
9
Select the correct answer.
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB. The equation has one solution, x = 0.
OC. The equation has no solution.
OD
The equation has infinitely many solutions.
Reset
Next
Answer: D. The equation has infinitely many solutions.
Step-by-step explanation:
Given equation: [tex]-9(x + 3) + 12 = -3(2x + 5) - 3x[/tex]
[tex]\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0[/tex]
which is true.
This happens when all numbers are solutions.
i.e. The equation has infinitely many solutions.
Correct option : D.
please help asap!!!!
Answer:
z = 25
Step-by-step explanation:
adjacent angles in a rhombus are supplementary
3z - 15 + 7z - 55 = 180
10z - 70 = 180
10z = 250
z = 25
At the start of a trip, a car’s gas tank contains gallons of gasoline. During the trip, the car consumes 1⁄8 gallons of gasoline. How much gasoline is left in the tank? Please explain thoroughly.
(BRAINLIEST) and more in the description.
Confession: I'm bad at math
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answer:
77.3
Step-by-step explanation:
V=lwh
4.6*4.2*4.0=77.28
77.28 to the nearest tenth is 77.3