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Semmy [17]
2 years ago
5

Translate the following from words to an algebraic expression or equation,

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
5 0

Answer:

a. n+5

b. n+ 7

c. 1\2(n×2n)

d. n +n+1 n+2

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Convert the fraction 3/11 to a decimal using long division
Dvinal [7]

0.27

so three divided by eleven is 0.27272727272727272727272727272727........so on and so forth. 

7 0
3 years ago
What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the
schepotkina [342]
Lateral Area of a cylinder is ; 2πR.H

R=12 mm and H= 15 mm


Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²
5 0
3 years ago
Determine the value of x
Tomtit [17]

Answer:

the answer will be Root 2

Step-by-step explanation:

x^2 = 1^2 + 1^2

We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure

x^2 = 1 + 1

x^2 = 2

taking square root on both the sides

x = root of 2

3 0
3 years ago
A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria,
DIA [1.3K]
Initial number of Bacteria = Ao = 100
Number of Bacteria which make the person ill = A = 45,000,000

Growth rate = r = 150% = 1.50 

The equation model for this situation is:

A= A_{o}(1+r)^{t}

Using the values in above equation, we can write:

45000000=100(1+1.5)^{t}  \\  \\ 
450000=(2.5)^{t} \\  \\ 
log(450000)=log((2.5)^{t})  \\  \\ 
log(450000)=t*log(2.5) \\  \\ 
t= \frac{log(450000)}{log(2.5)} \\  \\ 
t=14.21

This means, the person will fall sick after about 14 hours.
8 0
3 years ago
Read 2 more answers
Work out the volume of the solid shape<br><br> Give your answers in terms of pi please
kirill [66]

*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

3 0
2 years ago
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