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vivado [14]
3 years ago
14

A) Is205 a term in the sequence 15.9, 13.......? 10 15 22

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

no

Step-by-step explanation:

as 205 is the term greater than the 1st term of AP and the difference is in decreasing order

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Wouldn’t it be called rounding
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Write an equation of the line that passes through the given points.
Ratling [72]

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\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}]\\\\\\y-4=-1(x+1)\implies y-4=-x-1\implies \blacktriangleright y = -x+3 \blacktriangleleft

4 0
3 years ago
As θ increases from -pi/2 to 0 radians, the value of cos θ will.
GrogVix [38]

Answer:

4) Increase from 0 to 1

Step-by-step explanation:

We have to analyze the value of cos(Ф) from -π/2 to 0. This can be done if we simplify evaluate the value of cos(Ф) at these two extreme.

cos(-\frac{\pi}{2}) = cos(\frac{\pi}{2} )=cos(90)=0\\\\  cos(0)=1

This shows that value of cos(Ф) is 0 at  -π/2  or -90 degrees and increased to 0 at 0 degrees.

This answer can be validated if you visualize the graph of cos function. Cos function has a peak at 0 degrees, i.e. a value equal to 1. On right and left side of 0 degrees, the curve starts falling down and eventually touches the horizontal axis at 90 degrees and -90 degrees. This is shown in the graph attached below:

8 0
3 years ago
Which shows the following expression using positive exponents?
Hitman42 [59]

Answer:

1. option B is correct i.e., \frac{-3a^{7}b^3b^1}{15a^{2}}

2. option D is correct i.e., \frac{a^3b^4}{ab^2}.

3. option B is correct i.e.,  \frac{n^{10}}{16m^{6}}.

Step-by-step explanation:

1. Since the given equation is:

\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}

As we know that a^{-x}=\frac{1}{a^x}

So, the given equation can be represented as:

\frac{-3a^{7}b^3b^1}{15a^{2}}


2. Given equation is:

\frac{a^3b^{-2}}{ab^{-4}}

As we know that a^{-x}=\frac{1}{a^x}

so the given equation can be represented as:

\frac{a^3b^4}{ab^2}.


3.  Given equation is:

(\frac{4mn}{m^{-2}n^6})^{-2}

by using the properties a^{-x}=\frac{1}{a^x},

and a^x\times a^y=a^{x+y}

(\frac{4mn}{m^{-2}n^6})^{-2}

= (\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}

= (\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}

= (\frac{4n^{-5}}{m^{-3}})^{-2}

= \frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}

= \frac{n^{10}}{16m^{6}}.

which is option B.

5 0
3 years ago
Read 2 more answers
Write the equation in y=(your answer) y is the y axis in coordinate plane.
Vitek1552 [10]

Answer:

y = 4

Step-by-step explanation:

Given the equation of the line, y = 6, passing through point (3, 4):

By definition, parallel lines have the <u>same slope</u>.

The linear equation, y = 6 is a horizontal line with a zero slope. Therefore, the parallel line must also have the same slope = 0.

Plug the given values from the point (3, 4) into the slope-intercept form:

y = mx + b

where:  y = 4, m = 0, and x = 3. We need to solve for the y-intercept, b:

y = mx + b

4 = 0(3) + b

4 = 0 + b

4 = b  

Therefore, the y-intercept is (0, 4).

For horizontal lines, the y-coordinate = 4 stays the same, while having different x-coordinates.

Therefore, the equation that is parallel to y = 6 is y = 4.

Please mark my answers as the Brainliest if you find my explanations helpful :)

6 0
3 years ago
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