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Masja [62]
3 years ago
13

^ -2}" alt="4\sqrt\frac{132}{143} ^ -2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Vesna [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Hi

[ 4\sqrt\dfrac{132}{143} ]^ {-2}}=[\dfrac{132}{143}]^{-\dfrac{2}{4}}=\sqrt{\dfrac{143}{132}}\\\\=\sqrt{\dfrac{11*13}{11*12}}=\sqrt{\dfrac{13}{12}}

do not hesitate if you have any question

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[2x + 3y = 1][5x - 4y = 14]
sergejj [24]

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

8 0
3 years ago
CAN SOMEONE PLEASE FIND THE VOLUME AND SURFACE AREA OF THIS FIGURE.
tekilochka [14]

Answer:

<h2>Volume = 1659.84</h2><h2>Surface area = 1205.36</h2>

Step-by-step explanation:

Volume for triangular prism = 1/2 * b * l * h

we are given the length and the height but not the base.

since it is a right triangle we can use the Pythagorean theorem a^2 + b^2 = c^2

13.3^2 + b^2 = 20.5^2

176.89 + b^2 = 420.25

b^2 = 243.36

b = \sqrt{243.36} = 15.6

1/2 (15.6)(13.3)(16) = 1659.84

Front: 15.6 x 13.3 = 207.48

Back: 15.6 x 13.3 = 207.48

Left: 15.6 x 16 = 249.6

Right: 13.3 x 16 = 212.8

Bottom: 20.5 x 16 = 328

207.48 + 207.48 + 249.6 + 212.8 + 328 = 1205.36

6 0
3 years ago
Y=x2+3x+1 has how many real roots?
gregori [183]

Answer:

2

Step-by-step explanation:

we will find the discriminant of the equation

d = b^2  - 4ac (here, a = 1 , b = 3 , c = 1. from the general formula: ax^2 + bx + c)

d =  9 - 4

d = 5

since d > 0, the roots are real and different

hence, the both the roots of this equation are equal

5 0
4 years ago
The base radius of an ice cream cone is 3.5 cm and the slant height is 6.5 cm. What is the capacity of the ice cream cone and it
ella [17]
The formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem  h ^2 = H^2, so h= sqrt (H^2 -  r^2)
h =  sqrt (6.5^2 - 3.5^2) = 5.47
 finally, V = (1 / 3)  (3.14 x 3.5 x 5.47) = 20.03 cm^3
 the surface are is A = pi x r x H = 71.43 cm^2
8 0
3 years ago
Read 2 more answers
The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra
kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

p-50 = \dfrac{50-52}{4000-3800}(x - 4000)

p-50 = \dfrac{-2}{200}(x - 4000)

p-50 = \dfrac{-x}{100}+ 40

p = \dfrac{-x}{100}+ 90

R(x) = x . p

R(x) = x (\dfrac{-x}{100}+ 90)

R(x) = \dfrac{-x^2}{100}+ 90x)

\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))

\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)

at \dfrac{d}{dx}(R(x)) = 0

\dfrac{-2x}{100}= -90

x = 4500

\dfrac{d^2}{d^2x}(R(x)) = -ve

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

p = \dfrac{-4500}{100}+ 90

p = $45

6 0
3 years ago
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