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rusak2 [61]
3 years ago
12

The volume of a sphere is 113.1 cm3; find the diameter of the sphere.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

del

Step-by-step explanation:

d

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The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
Inga [223]
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
8 0
3 years ago
Read 2 more answers
I NEED AN ANSWER PLEASE :(((
Alekssandra [29.7K]

Answer:

80 lemons

Step-by-step explanation:

Let x represent the amount of lemons that were on the tree.

We can use this to set up an equation:

40\%x=32

Note that percentages can also be written as that number over 100.

\frac{40}{100}x=32

Simplify the fraction.

\frac{2}{5}x=32

Multiply both sides by 5

2x=160

Divide both sides by 2

x=80

There were 80 lemons on the tree before he picked the lemons.

6 0
3 years ago
1. Write your answer using only<br> positive exponents.<br><br> (3ab^3c^-1)^3
marishachu [46]

Answer:

(\frac{{3ab^{3}}}{c^{1}} )^{3}

Step-by-step explanation:

(3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}

6 0
3 years ago
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What is the volume of this rectangular prism.
UkoKoshka [18]

Answer:

Volume of Rectangular Prism:

V = lwh thus: V = 5 cm³

Step-by-step explanation:

Answer:

l = 2.5 cm

w = 4 cm

h = 0.5 cm

d = 4.74342 cm

S = 26.5 cm²

Agenda:

l = length

w = width

h = height

d = diagonal

S = surface area  

V = volume

3 0
4 years ago
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En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec
elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².  

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁  (1)  

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):      

l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm  (2)            

a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm   (3)    

El perímetro del rectángulo interno es:

P_{2} = 2l_{2} + 2a_{2}    (4)

Introduciendo la ecuación (2) y (3) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm  

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

 

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

l_{2} = 2a_{2}     (5)

Introduciendo (5) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}

a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm

l_{2} = 2a_{2} = 2*12 cm = 24 cm

Entonces el área es:

A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².      

Espero que te sea de utilidad!  

7 0
3 years ago
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