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3 years ago

Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 7, -21, 63, ...7,−21,63,....

Mathematics

2 answers:

lesya692 [45]3 years ago

6 0

Answer:

a_n= 7(-3) n-1

Step-by-step explanation:

ArbitrLikvidat [17]3 years ago

5 0

Answer:

a_n= -3n

Step-by-step explanation:

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Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl i

jarptica [38.1K]

Answer:

Bianca's height = 42 inches

Step-by-step explanation:

Let x be the Bianca height.

Given:

Meredith height = 60 inches

We need to find the Bianca height.

Solution:

From the given statement the Meredith's height is $\frac{2}{3}$ of Bianca's height plus 32 inches, so the equation is.

Meredith's height = $\frac{2}{3}(Bianca\ height)+32$

Substitute Meredith's height in above equation.

$60=\frac{2}{3}x+32$

Now we solve the above equation for x.

$\frac{2}{3}x=60-32$

$\frac{2}{3}x=28$

By cross multiplication.

$x=\frac{3\times 28}{2}$

28 divided by 2.

$x= 3\times 14$

$x=42\ in$

Therefore, the height of the Bianca is 42 inches.

7 0

3 years ago

Round 6.5472 to<br> the hundredths place.

Ugo [173]

Answer:

6.5500

Step-by-step explanation:

5 0

3 years ago

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At the school pay students can attend for only $7, but for aduts it costs $10

svp [43]

Answer:

question? I don't understand

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3 years ago

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Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.

miv72 [106K]

Answer:

2121 $in^{2}$ Rounded to the nearest inch.

Step-by-step explanation:

A = $\pi r^{2}$ Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = $\frac{\frac{\pi }{6} }{2\pi }$ $\pi r^{2}$ The $\frac{\pi }{6}$ is the part of the circle and the whole circle is 2 $\pi$

$\frac{\frac{\pi }{6} }{2\pi }$ is the same as $\frac{\pi }{6}$ ÷ $\frac{2\pi }{1}$ Which is the same as $\frac{\pi }{6}$ x $\frac{1}{2\pi }$ Which is the same a $\frac{1}{12}$

A = $\frac{1}{12}$ $\pi$ $90^{2}$

A = $\frac{1}{12}$ (3.14)(90)(90) = 2119.5. When you use the $\pi$ on your calculator you get a slightly different number. This is due to rounding.

A = 2120.575041

5 0

2 years ago

If f(x) = 2x+4, which of the following is the inverse of f(x)?

creativ13 [48]

Answer:

${f}^{ - 1} (x)= \frac{x}{2} - 2$

Step-by-step explanation:

The given function is

$f(x) = 2x + 4$ Let

$y = 2x + 4$

Interchange x and y.

$x = 2y + 4$

Solve for y,

$x - 4 = 2y$

Divide both sides by 2

$y = \frac{x}{2} - 2$

Therefore;

${f}^{ - 1} (x)= \frac{x}{2} - 2$

3 0

3 years ago

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 7, -21, 63, ...7,−21,63,....

Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 7, -21, 63, ...7,−21,63,....