Answer:
a pattern
Step-by-step explanation:
Use the function below to find F(4). f(x)=5x(1/3)^x
Answer:
686868686
Step-by-step explanation:
In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?
Answer:
310
Step-by-step explanation:
Answer:
310
Step-by-step explanation:
is/of = % / 100
[tex]93/x = 30/100[/tex]
93 * 100=9300
9300/30 = 310
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
Decide if each statement is true for all values of x.
Choose Yes or No for each statement.
a. If the distance from 0 to x on a number line is equal to 2, then
-2 + x = 0.
b. If the distance from 0 to x on a number line is less than 2, then
-2 + x is negative.
C.
If the distance from 0 to x on a number line is greater than 2,
then -2 + x is positive.
d. If the distance from 0 to x on a number line is greater than 0,
then -2 + x is positive.
Answer:
a. yes
b. yes
c. yes
d. no
a.
Solve the equation by rearranging
-2 + x = 0
x = 2
b.
If x < 2, x - 2 will always be negative
x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true
c.
If x > 2, x - 2 will always be positive
d.
If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2
These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2
2y-(y+6)=-3y + 1. Solve for y
2y-(y+6) (-2y)= -3y +1 (-2y) [Subtract both sides by 2y]
(-(y+6))/-1 = (-5y + 1)/-1 [Divide both sides by -1]
y + 6 (-y+1) = 5y - 1 (-y+1) [Subtract both sides by y and add 1 on both sides]
7(/4) = 4y(/4) [Divide both sides by 4]
y = 7/4
(Double check the work)
2(7/4) - ((7/4)+6) = -3(7/4) + 1
3.5 - 7.75 = -5.25 + 1
-4.25 = -4.25 (correct)
Bài 4: 350 Cho tam giác ABC nhọn, hai đường cao BD, CE cắt nhau tại H. M là trung điểm của BC. K đối xứng với H qua M. a) Chứng minh tứ giác BHCKlà hình bình hành b) Chứng minh BK LAB và CK AC. c) Gọi 0 là trung điểm của AK. Chứng minh OM IBC d) Gọi N là điểm đối xứng với H qua BC. Chứng minh BNKC là hình thang cần
La empresa ABC Labs fabrica medicamentos para el dolor, cada empaque tiene un peso promedio de 2.8 gramos y la desviación estándar es de 0.20 gramos. Se seleccionó una muestra de 25 empaques con un promedio de 2.73 gramos. El director de control de calidad desea determinar a un nivel de significancia de 0.05 si el equipo de empaque necesita ajustes o no. Presente el procedimiento y explique su respuesta.
Answer:
Spanish??
Step-by-step explanation:
The replacement set for an equation is {8, 9, 12, 18}
The equation is represented by the sentence, "2/3 of a number is 12."
What is the solution set of the equation?
O {8}
O {9}
O {12}
O {18}
Answer:
18
Step-by-step explanation:
The solution set of the equation will be;
⇒ x = 18
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''2/3 of a number is 12."
Now,
Since, The expression is,
''2/3 of a number is 12."
Let a number = x
So, We can formulate;
⇒ 2/3 of x = 12
⇒ 2/3 × x = 12
⇒ 2x = 12 × 3
⇒ 2x = 36
⇒ x = 36/2
⇒ x = 18
Thus, The solution set of the equation will be;
⇒ x = 18
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
how are planes named in geometry
Answer:
Step-by-step explanation:
A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .
Jennifer has 3 ¼ cups of dough to make cookies. If she uses 5/16 cup of dough for each cookie, how many whole dumplings can she make?
Answer:
Step-by-step explanation:
3 ¼ / 5/16
3 ¼ = 13/4
to divide by a fraction, multiply by the reciprocal of the fraction
13/4•16/5 = (13•16) / (4•5) = 208 / 20 = 10.4
10 whole cookies but NO dumplings
What is the value of x?
(5x)
(3x+28)
Answer:
14
Step-by-step explanation:
if two sides are the same, their angle will also be the same
therefore
5x=3x+28
5x-3x=28
2x=28
x=14
The value of x in the triangle whose two sides are equal and the measure of angles is (5x)° and (3x + 28)° is 14.
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The measures of the angles are (5x)° and (3x + 28)°,
As given the two sides of the triangle are equal, then the opposite angles will be equal,
Use the above concept and calculate the value of x as shown below,
5x = 3x + 28
Solve the above equation,
5x - 3x = 28 (Transform variable on the left side)
2x = 28
x = 28 / 2
x = 14
Thus, the value of x is 14.
To know more about the expression:
https://brainly.com/question/13947055
#SPJ2
Solve the system of equations.
y = 6x
y= x^2 +5
What is the percent of change from 10 to 5?
Answer:
50% decrease
Step-by-step explanation:
[tex]\dfrac{(V_2-V_1)}{|V_1|} \times 100[/tex]
[tex]= \dfrac{(5 - 10)}{|10|} \times 100[/tex]
[tex]= \dfrac{-5}{10} \times 100[/tex]
[tex]= -0.5 \times 100[/tex]
[tex]= -50\% \; \text{change}[/tex]
[tex]= 50\% \; \text{decrease}[/tex]
Answer: 50 i guess not sure
Step-by-step explanation: hope this helps of not i hope someone can help you ok :)
For the triangle formed by vertices (3, 5), (2, 1), and (5, 2), calculate the perimeter. This is what the triangle would look like.
Using the Pythagorean Theorem (2 + 2 = 2), please calculate the perimeter, or the sum of the three sides, of the triangle.
Then, calculate the area by finding the area of the orange rectangle and subtracting the outer rectangles
Answer:
I’m not sure
Step-by-step explanation:
Because I don’t have a brain so I can’t think of what it is. I can’t give you a better explanatio.
Answer:
purrrrrrrfect
Step-by-step explanation:
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work.
Plzzzzzz help
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR
Answer:
- x(- 8x^2 + 3x)
8x^3 - 3x^2
Please help if do 5 star for people who help for this question thank you
Step-by-step explanation:
francesca got home first i think
Answer:
Francesca got home first
Step-by-step explanation:
13 is less than 15
Comparing fractions with different denominators
1. [tex] \frac{2}{3} and \: \frac{5}{6} [/tex]
2. [tex] \frac{3}{4} and \: \frac{2}{3} [/tex]
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
please help k12 math 8th grade math pictures below will give brainliest if correct
Step-by-step explanation:
For first picture,Here Given,
x = White rectangular box
-x = Black rectangular box
1 = White square
-1 = Black square
Condition,
No. of White rectangular boxes = 5
(On putting the value x) = 5xNo. of Black rectangular boxes = 8
(On putting the value -x) = -8xNo. of White square boxes = 9
(On putting the value 1) = 9No. of Black square boxes = 4
(On putting the value -1) = -4Therefore Simplification,
5x + (-8x) + 9 + (-4)
= - 3x + 5 (Ans) (option D)
For second picture,Here Given,
x = White rectangular box
-x = Black rectangular box
1 = White square
-1 = Black square
Condition,
Left side,
No. of White rectangular boxes = 7
(On putting the value x) = 7xNo. of Black rectangular boxes = 3
(On putting the value -x) = -3xNo. of White square boxes = 1
(On putting the value 1) = 1No. of Black square boxes = 2
(On putting the value -1) = -2Right side,
No. of White rectangular boxes = 1
(On putting the value x) = xNo. of Black rectangular boxes = 3
(On putting the value -x) = -3xNo. of White square boxes = 8
(On putting the value 1) = 8No. of Black square boxes = 3
(On putting the value -1) = -3Therefore Equation,
7x - 3x + 1 - 2 = x - 3x + 8 - 3
=> 6x = 6
=> x = 1 (Ans) (option B)
For third picture,Given values,
a = 13, b = 3, c = 6
Solution,
[tex](26 - a) + \frac{ - 2bc}{2} + \sqrt{289} [/tex]
(On putting values of a, b and c)
[tex] = (26 - 13) + \frac{ - 2 \times 3 \times 6}{2} + \sqrt{289} [/tex]
= 13 + (-18) + 17
= 12 (Ans) (option A)
For fourth picture,Given values,
x = 14, y = 5, z = 6
Solution,
[tex] (25 - x) + \frac{4yz}{2} [/tex]
(On putting values of x, y and z)
[tex] = (25 - 14) + \frac{4 \times 5 \times 6}{2} [/tex]
= 11 + 60
= 71 (Ans)
Find the scale factor in this proportional.
1/8 = 20/160
Answer: 20
Step-by-step explanation:
A scale factor is simply the ratio between two corresponding units, therefore since the two fractions are set equal to each other, we can divide the numerator by each other. 20/1=20, so the answer is 20.
Solve for x and find the measure of each angle
The equation of straight line passing through the point (1,2) and parallel to the line y = 3x + 1 is (a) y = 3x - 1 (b) y = -3x +1 (c) y = -3x - 1 (d) y = 3x + 1
Answer:
the answer is y=-3x+5
since it's parallel, the slope is the same. so m=-3
use point slope formula y-y1=m(x-x1) and plug in the slope and the point
y-2=-3(x-1)
y-2=-3x+3
y=-3x+5
I have a question here.
9514 1404 393
Answer:
P(F|A) = 35%
Step-by-step explanation:
P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35
P(F|A) = 35%
_____
The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.
Which expression is equivalent to (10x)^-3
Answer:
[tex]\frac{1}{1000x^{3} }[/tex]
Step-by-step explanation:
Use the Negative Power Rule which is [tex]x^{-a} =\frac{1}{x^{a}}[/tex]
So we write this as [tex]\frac{1}{(10x)^3}[/tex]
Then we use the Multiplication Distributive Property which is [tex](xy)^{a} =x^ay^a[/tex]
So we write this as [tex]\frac{1}{10^{3} x^{3} }[/tex]
Then we simplify to write it as [tex]\frac{1}{1000x^{3} }[/tex]
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 5 x + 2 y = 14
Answer:
y=-5/2x-8
Step-by-step explanation:
Please mark as brainliest if correct
find the missing side length. giving BRAINLIEST.
Answer:
15 degrees
Step-by-step explanation:
It is a right angle!
61 + 14 = 75
90 - 75 = 15
Hope this helps!!! :))
Please help me I'll give you brainlist please
Answer:
1.88 I think
Step-by-step explanation:
I just divided the bigger number by the smaller one to find the ratio
Answer:
1:0.53
Step-by-step explanation:
there are 81 oranges and 43 melons
so its 81:43
divide both by 81
81/81:43/81
1:0.53
A helicopter was lifting off from the helipad, it rose 30
meters in 5 seconds. At that rate, how high did it ascend
in 60 seconds?
A 6
B 10
150
D 360
Answer:
D. 360
Step-by-step explanation:
30/5=6, so it's 6m per second. Then you would multiply 6x60, which is 360.
