Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit y made by the company from selling each widget at x price is modeled by the equation:
[tex]y=-x^2+72x-458[/tex]
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:
[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 xy, equals, start fraction, 5, divided by, 9, end fraction, x? constant of proportionality ==equals
Answer:
5/9
Step-by-step explanation:
If a variable y is directly proportional to x, then;
y = kx where;
k is the constant of proportionality
Given the expression y = 5/9 x
On comparing with the general formula;
kx = 5/9 x
k = 5/9
Hence the constant of proportionality of the expression is 5/9
Answer:
5/9
Step-by-step explanation:
i tried it on khan and its right trust me
The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
VT
Answer:
x = [tex]\sqrt{14}[/tex]
Step-by-step explanation:
[tex]\sqrt{7}[/tex] / sin(45) = x / sin(90) (Cause its a square, the edges are 90 degrees)
[tex]\sqrt{14}[/tex] = x / 1
x = [tex]\sqrt{14}[/tex]
Please please help me with this
Step-by-step explanation:
i think is k , m , l
bcause 4 is the smallest number,
and 12 is the biggest number.
can somebody help plz
Answer:
(3,2)
Step-by-step explanation:
the other three ordered pairs do not lie in the shaded region
Can someone help I’m confused
Answer:
D and E
Step-by-step explanation:
Let's double check:
D. 9 ÷ 3 = 3
E. 4 × 9 = 36
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Have a great summer :)
Answer:
the answers would be A, D, and E
Step-by-step explanation:
just replace the Cs with the number 9 and solve from there.
for example c/3=3 would say 9/3=3
This is correct? I need help please :(
Answer:
well, we only no that
2l + 2w is 80
(lengths and widths on all 4 sides
and that w * l is A
so the function should be w times what's left for l, but also expressed by something with w
2l + 2w = 80 | -2w
2l = 80 -2w | devide by 2
l = 80 - w
now we can substitute l in
A = w * l
so that we only need w's
A(w) = w * (80-w)
for any w it will give us the area, makes only sense for 0<w<80
la figure ci-dessus représente une pyramide du sommet S.
Sa base le rectangle EFGH et sa hauteur SO, tel que O est le centre
du rectangle EFGH.
PETIT PLUS: SE=6.5 cm , EF= 4 cm , FG=3cm.
1)- calculer la distance EG.
2)-Montrer que: SO=6 cm
3)-Calculer le volume de la pyramide SEFGH
SVP JE DOIS LE RENDRE DEMAIN .
ET MERCI
Answer:
Step-by-step explanation:
Voir le diagramme ci-attaché.
1) Distance EG
À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25
=> EG = sqrt(25) = 5
2) Distance SO
Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5
Encore, à l'aide du même théoreme,SE^2 = SO²+EO²
SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36
SO = sqrt(36) = 6 QED
3) Volume de la pyramide
V = (Aire de la base * hauteur ) /3
= (EF * FG) * SO /3
= (4*3) * 6 /3
= 24 cm³
Please help me this is due very soon!(Q13)
Answer:
Step-by-step explanation:
9) (25-x^2 )(a+2) = (5-x)(5+x)(a+2)
11) 9(v-3)+u^2(3-v)
9(v-3)+u^2( -v+3)
9(v-3)-u^2( v-3)
(9-u^2)(v-3)
(3-u)(3+u)(v-3)
Please help me.....................
Answer:16500
Step-by-step explanation:
That is, for every 100 people, there are 26 people aged between 11 and 20. So 63500 will have 16500 people aged 20.
PLZ HELP ANY GUESS WOULD HELP
Answer:
1st onne I believe I couldd be wrong but thats what I got
Step-by-step explanation:
Find the volume.
I need this in now like ASAP 10 points
Answer:
0.48 m^3
Step-by-step explanation:
volume = length * breadth * height
=6m * 4m * 0.02m
=0.48 m^3
helpppppppppppppppppppppppppppppppppp!!!!!!!!!
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task
A $108,000 down payment would be? of the purchase price.
Answer: 10.8%
Step-by-step explanation:
The question is asking what the percentage of the down payment is of the purchase price of the house.
For such a question, the purchase price needs to be known.
We shall therefore assume a purchase price and you can use the process to find out your percentage.
Assume the purchase price is $1,000,000.
The percentage would be:
= Down payment / Purchase price * 100%
= 108,000 / 1,000,000
= 10.8%
Answer:
10.8%
Step-by-step explanation:
see above
Describe the relationship between ∠2 and ∠8
Answer:
Alternate Interior Angles
Step-by-step explanation:
Angles can be corresponding; alternate or same side; or interior or exterior. The angles 2 and 8 are on opposite sides of the transversal; this means that they must be alternate angles. Additionally, they are both within the parallel lines, so they are interior. Alternate interior angles are always congruent. Therefore, their measurements must be equal.
Answer:
They are alternate interior angles
Step-by-step explanation:
<2 and <8 are inside the parallel lines and on opposite sides of the transversal
They are alternate interior angles
Part A
Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?
Answer: hello your question has some missing data attached below is the missing data
answer:
The second scatter plot
Step-by-step explanation:
The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot
Answer:
Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.
Step-by-step explanation:
If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.
(in other words the other person who answered is correct)
what is 200x149 who can answer that for me i need help on this my teacher said i cant use couculater
Answer:
29,800
Step-by-step explanation:
that will be 149 x 2 which equals 298
149
×2 Multiply 9 × 2 = 18
------ Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1
298
Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)
Final answer: 29800
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
Find the percent of markup on a T-shirt that has a store cost of $4.87 and a selling price of $15.95
Answer:
69.47%
Step-by-step explanation:
Calculation to determine Find the percent of markup
Using this formula
Percent of markup=New price-Old price/Old price
Let plug in the formula
Percent of markup=$15.95-$4.87/$15.95
Percent of markup=$11.08/$15.95
Percent of markup=0.6947*100
Percent of markup=69.47%
Therefore the percent of markup is 69.47%
Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD
Answer:
meta beta
Step-by-step explanation:
diem ryugudnhkng.
can someone please answer
Answer:
x =62
Step-by-step explanation:
The two angles form a straight line so they add to 180
x+118 = 180
Subtract 118 from each side
x = 180-118
x =62
Answer:
x = 62°
Step-by-step explanation:
These both angles are located at straight line.
So, the sum of both angles is 180 °.
x + 118 ° = 180 °
Subtract 118 ° from 180 °
x = 180 ° - 118 °
x = 62 °
Someone plz help me!
Answer:
56.25 cm
Step-by-step explanation:
your teacher wrote the approach already : the law of sines.
in our example we have
sin(28)/27 = sin(102)/c
c×sin(28)/27 = sin(102)
c×sin(28) = 27×sin(102)
c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm
Solve 7x-c=k for x
...........
Answer:
The value of x in given question will be [tex]x=\frac{k+c}{7}[/tex]
Step-by-step explanation:
Given data:
7x-c=k
Now,
7x-c=K
7x=K+c
[tex]x=\frac{k+c}{7}[/tex]
Therefore,
The value of x in given question will be : k+c/7
someone please help
Answer:
sqrt(106) =c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +9^2 = c^2
25+81 = c^2
106 = c^2
Taking the square root of each side
sqrt(106)= sqrt(c^2)
sqrt(106) =c
Answer:
Length of missing side is 10.44/ √106.
Step-by-step explanation:
Here we have
A right triangle with
1st side = a = 5
2nd sidd = b = 9
and , we need to find 3rd side of triangle
let the 3rd side be x.
Using Pythagoras theorem
a ² + b ² = c ²
( 5 ) ² + ( 9 ) ² = ( c)²
25 + 81 = ( c) ²
106 = ( c) ²
Taking square root of each side
√106 = √ c ²
√106 = c
10.44 = c
So, missing side if triangle is 10.44 /√106.
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2
Answer:
x=2
Step-by-step explanation:
Please help me on this question
Answer:
A = 6π
Step-by-step explanation:
Expression for the area of a sector is given by,
A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
For θ = 240° and r = 3,
By substituting these values in the given expression,
A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]
= [tex]\frac{240\times 9}{360}\pi[/tex]
= 6π
Therefore, A = 6π is the answer.
Which is longer - the radius or the circumference of a circle?
Answer:
Circumference of a circle
Step-by-step explanation:
The circumference of a circle is longer than its radius of the circle.
What is the value of x in the triangle?
Round your final answer to the
nearest hundredth
Given:
In a right angle triangle,
Hypotenuse = 25 cm
Base = x
Angle between base and hypotenuse = 18 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In the given right triangle,
[tex]\cos (18^\circ) =\dfrac{x}{25}[/tex]
[tex]\cos (18^\circ) \times 25=x[/tex]
[tex]0.9510565 \times 25=x[/tex]
[tex]23.7764125=x[/tex]
Round the answer to the nearest hundredth (two decimal).
[tex]x=23.78[/tex]
Therefore, the value of x is about 23.78 cm.