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3 years ago

Solve T = 7c-2d for d.

Mathematics

1 answer:

stepladder [879]3 years ago

4 0

Answer:

$d = \frac{t - 7c}{ - 2}$

Hope this helps at all. :)

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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Mrac [35]

Answer:

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³ ( where r is the radius )

Here r = 3, thus

V = $\frac{4}{3}$ π × 3³

= $\frac{4}{3}$ π × 27 = 4π × 9 = 36π in³ → b

3 0

3 years ago

Read 2 more answers

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used

Mama L [17]

Answer:

70m²

Step-by-step explanation:

Area of the plot=½×28×15

= 210m²

Area used by rose plants=⅔×210 =140m²

Area used by marigold=210-140

=70m²

6 0

3 years ago

Pleaseeee answer correctly and ASAP!!!

shusha [124]

Answer:

Im pretty sure its d

6 0

2 years ago

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Need the answer Thanks

zlopas [31]

What is the question its to blurry

8 0

3 years ago