Answer:
846.06 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
[tex]y = -4x^2 + 183x- 1247[/tex] ...(1)
We need to find out the maximum amount of profit the company can make.
For maximum profit put dy/dx = 0
So,
[tex]\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87[/tex]
Put x = 22.87 in equation (1). So,
[tex]y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06[/tex]
So, the maximum profit is 846.06 units.
Use the estimates from (c) and (d) to calculate the relative change in the average household
income from 2002 to 2012. Round to the nearest one percent. Indicate if the change is an
increase or decrease.
Answer:
it decreased by 5.55% change of 6%
The relative change is -6% Rounding to the nearest percent.
What are average?The average can be calculated by dividing the sum of observations by the number of observations.
Average = Sum of observations/the number of observations
The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.
The absolute change is the final value minus the initial value;
Absolute change = 51000 - 54000 = -3000
Now, calculating the relative change;
Relative = -3000/54000
Relative = - 0.0555
Since the relative change is negative, this change indicates a decrease.
Therefore, the relative change is -6% Rounding to the nearest percent.
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Question
A county fair attracts large crowds of people every year. Ideally, 280,000 people come to the fair, but this value can vary by
as many as 8,500 people. What are the maximum and minimum numbers of people expected to attend the fair?
Answer:
the maximum amount of people would be 288, 500 and the minimum would be 271,500
Step-by-step explanation:
basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum
There could be up to 288.500 persons present, with a minimum of 271,500.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.
Maximum = 2800000 + 8500 = 288,500
Minimum = 271,500 - 8500 = 263000
Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.
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What is the area of the triangle?
O 216 cm?
O 288 cm2
O 324 cm2
O 576 cm
Base:36
Hight 16
Answer:
288 cm^2
Step-by-step explanation:
Area of Triangle: 1/2bh
1/2(36)(16)
1/2(576)
288
216 is the real answer i took the test.
Given
mZAOC = 104°
mZAOB = 7x + 30°
mZBOC = 9x + 42°
Find mZBOC:
Answer:
The answer is 60°
Step-by-step explanation:
From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.
We also know that mZAOC is 104°
This means that the two other angles have to make up 104°
To figure out mZBOC,
First, you can subtract 30 and 42 from 104.
We do this because it allows us to focus on the variables.
104-30-42=32
Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.
7(2)+9(2)=32
Now that we know what x equals we can substitute it into the equation for mZBOC.
9x + 42°
9(2) + 42°
60°
Thus, mZBOC equals 60°
Can someone please help and explain? Will give brainliest to most helpful
Answer:
x = 44
y = 22
Step-by-step explanation:
✔️Find x:
Reference angle = 60°
Hypotenuse = x
Opposite side length = 22√3
Applying the trigonometric FUNCTION, SOH, we have:
Sin 60 = opp/hyp
Sin 60 = (22√3)/x
x × Sin 60 = 22√3
x = (22√3)/Sin 60
x = (22√3)/(√3/2) (sin 60 = √3/2)
x = 22√3 × 2/√3
x = (22√3 × 2) / √3
x = (44√3) / √3
x = 44
✔️Find y:
Reference angle = 60°
Hypotenuse = x = 44
Adjacent length = y
Applying CAH, we have:
Cos 60 = adj/hyp
Cos 60 = y/44
44 × Cos 60 = y
44 × ½ = y (cos 60 = ½)
22 = y
y = 22
Answer:
x=44,y=22
Step-by-step explanation:
sin 60=22√3/x
x=22√3/sin60=44
sin30=y/x
y=sin30×44=22
Nobody knows it somebody hel
The required value of x = 12 and the side length of the triangle is 12 units. which is determined by Pythagoras's theorem.
What is Pythagoras's theorem?
Pythagoras's theorem states that in a right-angled triangle, the square of one angle is equal to the sum of the squares of the other two sides.
The given triangle is a right-angled triangle.
As per Pythagoras's theorem,
⇒ a² + b² = c²
Here a = 16, b = x and c = 20
Substitute the values in the formula,
⇒ 16² + x² =20²
⇒ 256 + x² = 400
⇒ x² = 400 - 256
Apply the subtraction operation,
⇒ x² = 144
⇒ x = √144
⇒ x = 12
Therefore, the required value of x is 12 units.
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I need to know how to simplify 18 - 9 x (-4) ÷ 3 + 10 x 2
I need help pls. I'm not sure how to solve it
Answer:
0 is an integer and a whole number
please help me 80% of what number is 16
What is the part?
What is the total?
What is the percent?
What is the answer?
Answer:
80 percent of 16 is 12.8 I'm sorry but that's all I know
What would be the area of a polygon that is 15 and 18 inches??
Answer:
270
Step-by-step explanation:
15x18
A normal body temperature for a human is approximately 98° Fahrenheit. What is this temperature in degrees Celsius? Round your answer to the nearest tenth.
Answer:
37°C
Step-by-step explanation:
The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,
➳ C/5 = F -32/9
➳ C/5 = 98 - 32/9
➳ C/5 = 66/9
➳ C = 66/9 × 5
➳ C = 36.66 °C ≈ 37°C
Hence the body temperature in Celsius measure is 37°C .Snigdha can type 550 words in half an hour how many words would she type in 6 minutes
Answer:
110
Step-by-step explanation:
took the same test 1 week ago
Answer:
110 words
Step-by-step explanation:
What we know:
- Snigdha can type 550 words in 30 minutes
1) Find how many words they can type in 1 minute
To do this, divide 550 words by 30 minutes:
550÷30=18.3333... words
Therefore, Snigdha can type approximately 18 words in one minute.
2) Multiply 18 words by 6 minutes
18.3333...×6=110
Therefore, Snigdha can type 110 words in 6 minutes.
I hope this helps!
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
8000+
7000
6000
5000 -
Elevation (meters)
4000
3000
2000
1000
200
400
1600
an 00 1009 1200 1400
Time seconds)
Will mark brainiest
RADICALS
NEED HELP ASAP PLEASE!!!
Answer:
[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]
Step-by-step explanation:
According to the graph, what is the value of the constant in the equation
below?
25+
(3.25)
Height
Constant
Width
20 +
15
(5, 15)
Height
10
(15,5)
(25,3)
10
15
20
25
Width
O A. 5
B. 100
O c. 10
O D. 75
Answer:The Answer is C
Step-by-step explanation:
The value of the constant in the equation below is 100. So, the correct option is (C).
What is Height?Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.
Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.
Height equation: H= C/W
where, H is the height, C is the constant and W is the width.
We choose a point given in the graphic, I will choose (4,25), which means that when W=4 and H=25 . We use this to find the constant. So
25=C/3
C= 100
Thus, the value of the constant in the equation below is 100. So, the correct option is (C).
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NEED ASAP!! ILL GIVE YOU 30 points!!
Hopt decided to sell some mimstoons (x) and kents (y). Altogether,
she planned to sell at least 8 items.
Write an inequality showing the above constraint.
Answer:
X+Y is greater then or equal to 8
Step-by-step explanation:
In total she wants to sell at least 8 items which implies shes willing to sell more (so greater or equal to) then it's adding X+Y bc those are the items that she is selling
The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D
Answer:
D and E
Step-by-step explanation:
Answer: d and e!
Step-by-step explanation:
:)
The interest of $4000 in 2 years is 500. what is the simple interest rate?
Answer:
0.0625/year or 6.25%/year
Step-by-step explanation:
Simple interest formula:
I = Prt where I = interest (final) amount, P = principal (initial) amount, r = interest rate, t = time (years)We are given these values:
I = $500 P = $4000 t = 2 yearsWe want to find r, the simple interest rate.
Substitute these known values into the formula.
I = Prt 500 = (4000) × r × (2) 500 = 8000r 0.0625 = rThe simple interest rate is 0.0625, aka 6.25% per year.
Enter numbers in figures to complete the passage below.
Give all values in pounds and pence, e.g. £3.50 not £3.5
SALE
Taal buys a jacket in the sale.
It has 15% off and he pays £42.50.
The original price of the jacket was £
He saved £
Answer:
£50 ; £7.50
Step-by-step explanation:
Given that:
Discount on sale, d = 15%
Amount paid = £42.50
Hence the relation to obtain the amount paid goes thus ;
Amount paid = (1 - d) * original amount
Let original amount = x
42.50 = (1 - 0.15)x
42.50 = 0.85x
x = 42.50 / 0.85
x = £50
Amount saved :
£(50 - 42.50) = £7.50
After 3 hours of work, Malachi earned $18.
How much did he earn per hour? Write an
equation that represents the amount of
money he earned, y, after "x" hours.
Answer:
6 dollers per hour
Step-by-step explanation:
becyase you do 3 divided by 18 to get 6
Hiromi spends 100 minutes on a research project. Al spends 1/2 of the time Hiromi spent on his research project. How many hours did Hiromi and Al spend on their research projects altogether?
(Mixed number and fraction)
Answer:
Step-by-step explanation:
Graph the numbers that are solutions to both inequalities below.
3x>12 and 2x/3 is less than or equal to 6
Answer:
3x>12 2x/3 ≤ 6
3x>12, x = 4 2x/3, x = 2 ≤ 6
ASAP pls help
A chef has 5 blocks of butter. Each block weighs 1 pound. She cuts each block into fourths. How many 1/4 -pound pieces of butter does the chef have?
Answer:
20, 1/4 pound pieces of butter
Step-by-step explanation:
1/4*4= 1 pound
so,
4*5=20
:)
-10 + 10у + -3y +7
DOES ANYONE KNOW THE ANSWER????????????
Answer:
The answer is 30.
Step-by-step explanation:
Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.
5) Which number is greater than 985,887 0 985,599 O 984,978 986,331 985,770
Answer:
986,331
Step-by-step explanation:
Hello!
Answer:
Your answer sould be 986,331!
Step-by-step explanation:
Hope this helps! Have a good day/night! <3
Which represents the value of c?
Oc=
(3) sin(409)
sin (45)
C =
(3) sin(45)
sin (409)
C =
sin(409)
(3) sin(45°)
sin(45)
(3) sin(409)
Answer:
c = 3.3 cm
Step-by-step explanation:
A = 180 - (95 + 45) = 40° (sum of triangle)
a = 3.0 cm
C = 45°
c = ?
Applying the Law of Sines, we have:
[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]
Cross multiply
[tex] Sin(40)*c = Sin(45)*3 [/tex]
Divide both sides by sin(40)
[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]
c = 3.3001886 ≈ 3.3 cm (nearest tenth)
Find LR, given kite FLRD with diagonals intersecting at A and FA = 4, AR = 12, LA = 5
Answer:
LR = 13
Step-by-step explanation:
LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side
LA = 5
AR = 12
5² + 12² = LR²
LR² = 25 + 144
LR² = 169
LR = √169 = 13
If a rocket travels 68,732 milometers in 3 hours, what is it's speed?
a) 23,000 Km/hr
b) 23,000 hr/km
c) 22,910 hr/km
d) 22,911 km/hr
Answer:
v = 0.0229 km/h
Step-by-step explanation:
Given that,
Distance, d = 68,732 milometers = 0.0687 km
Time, t = 3 hours
We need to find the speed of the rocket. The speed of an object is given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{0.0687}{3}[/tex]
v = 0.0229 km/h
So, the speed of the rocket is 0.0229 km/h.
X by 2 equal to X by 3 + 1
Step-by-step explanation:
[tex] \frac{x}{2} = \frac{x}{3} + 1 [/tex]
Solve for the unknowns.
a, b , c ,d
Answer:
can u plz make a good picture to solve I can't see good
Step-by-step explanation:
and thanks