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scoray [572]
3 years ago
8

Log√30 - log√6 + log√2

Mathematics
1 answer:
Arada [10]3 years ago
3 0

Assuming, it's decimal logarithm.

<h3>\log\sqrt{30}-\log\sqrt6+\log\sqrt2=\log\dfrac{\sqrt{30}\cdot\sqrt2}{\sqrt6}=\log \sqrt{10}=\dfrac{1}{2}\log 10=\dfrac{1}{2}\cdot 1=\dfrac{1}{2}</h3>
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Two geometrically similar jugs have volumes of 1000 cm3and 512 cm3.They have circular bases. The diameter of the base of the lar
Aleks [24]

Complete Question

Two geometrically similar jugs have volumes of 1000 cm³and 512 cm³.They have circular bases. The diameter of the base of the larger jug is 9 cm.

Calculate the diameter of the smaller jug.

Answer:

7.2 cm

Step-by-step explanation:

To solve the above question,we have the proportion

Smaller volume/ Larger volume = (Smaller diameter/ Larger diameter)³

We are to find the smaller diameter

Hence our formula is give as

Cube root(Smaller volume/ Larger volume)= Smaller diameter/ Larger diameter

=cube root( 512/1000) = x/9

= 8/10 = x/9

Cross Multiply

10x = 8 × 9

10x = 72

x = 72/10

x = 7.2cm

Therefore, the diameter of the second jug is 7.2 cm

3 0
3 years ago
Suppose point e has a coordinate of 11​, and eg= 8. what are the possible coordinates of point​ g?
viva [34]

So I will be assuming that EG = 8 is the length of the line segment EG. If that's the case, therefore the coordinates of G would simple be:

G =11 ± 8

G = 11 – 8, 11 + 8

G = 3, 19 

<span>So G can have a coordinate of 3 or 19.</span>

7 0
3 years ago
The sum of the first 20 terms of the sequence a(n)=7n+2
Bad White [126]
A  =  7n + 2

a₁ = 7*1 + 2 = 9

a₂ = 7*2 + 2 = 16

a₃ = 7*3 + 2 = 23
.
.
.
a₂₀ = 7*20 + 2 = 142

This is an Arithmetic progression, a = 9,   last term = 142

Sum of the 20 terms using:  n/2(a + l)      where l = last term.
 
 =  20/2(9 + 142)

= 10 * 151

= 1510

Sum of the first 20 terms = 1510
4 0
3 years ago
What is (-5x^2 + 6x + 7) + (-x^2 + 4x) in polynomial standard form?
natka813 [3]

Answer:

I'm not a human I'm bot

Step-by-step explanation:

so if anything PLEASERE DONT REPORT

7 0
3 years ago
Helps if look at pic
Ann [662]
The answer is 90 (B)
pls make me brainliest
6 0
3 years ago
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