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3 years ago

What is the common diffrence of the following arithmetic sequence 13, -7, -27, -47...

Mathematics

2 answers:

mart [117]3 years ago

7 0

-20 each time you move from each number. the next one would be -67 and then -87 and so on

r-ruslan [8.4K]3 years ago

6 0

Each time in the sequence, 20 is subtracted.

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What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:

Gekata [30.6K]

Answer:

B. 13

Explanation:

$\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )$

Logarithm rules:

$\sf (i) \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \ log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)$

Breakdown of the expression:

$\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)$

$\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)$

$\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)$

insert given values

$\rightarrow \sf 2(3)+3(2)-(-1)$

$\rightarrow \sf 13$

7 0

2 years ago

: Subtract 9 7/10 - 2 2/10 = A: 7 2/10 B: 7 5/10 C: 7 7/10 D: 7 9/10

snow_lady [41]

Answer:

B) 7 5/10

Step-by-step explanation:

9-2 is 7

7/10 - 2/10 is 5/10

7 + 5/10 = 7 5/10

8 0

3 years ago

Read 2 more answers

Solve the system of linear equations by graphing. y=2x−3 y=x+2

Musya8 [376]

Step-by-step explanation:

y=2x−3

y=x+2

y=-3

x=3/2

for the second line

y=2

x=-2

7 0

3 years ago

Which color uses the most wrapping paper

choli [55]

Answer: I'm pretty sure its the green rectangle

8 0

3 years ago

Explain how to find the value of y that would make segment OP parallel to segment LN.

photoshop1234 [79]

Answer:

$y = 36$

Step-by-step explanation:

Given; the triangle above

Required

Find y

This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'

But first, it should be noted that triangle MOP is similar to triangle MLN

This implies that

Side MP is similar to MN

Side MO is similar to ML

Mathematically; This can be represented as follows;

$\frac{MP}{MN} = \frac{MO}{ML}$

Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14

Substitute these values in the above expression

$\frac{y}{y+18} = \frac{28}{28+14}$

$\frac{y}{y+18} = \frac{28}{42}$

Multiply both sides by 42

$42 * \frac{y}{y+18} = \frac{28}{42} * 42$

$\frac{42y}{y+18} = \frac{28*42}{42}$

$\frac{42y}{y+18} = 28$

Multiply both sides by y + 18

$(y+18)*\frac{42y}{y+18} = 28 * (y+18)$

$42y = 28 * (y+18)$

Open Bracket

$42y = 28 * y+28 * 18$

$42y = 28y+504$

Subtract 28y from both sides

$42y - 28y = 28y - 28y +504$

$14y = 504$

Divide both sides by 14

$\frac{14y}{14} = \frac{504}{14}$

$y = \frac{504}{14}$

$y = 36$

3 0

3 years ago

Read 2 more answers