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IrinaVladis [17]

3 years ago

10

For his off-road bike, Jackson measures that he needs a brake cable 24 1/8 in. long. The parts catalog shows cables in decimal m

easurements. Which cable length should he order?
A. 24.125 in.

B. 24.275 in.

C. 24.375 in.

D. 24.775 in.

1 answer:

statuscvo [17]3 years ago

8 0

.125 * 8 = 1

A is the answer.

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bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

<u>Step-by-step explanation:</u>

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

3 years ago

Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.

Marat540 [252]

Answer:

linear and y = 2x + 19

Step-by-step explanation:

the x- values increment by 2 and the values of y increment by 4

This indicates a linear relationship exists in the form

y = mx + c ( m is the slope and c the y-intercept )

m = $\frac{rise}{run}$ = $\frac{4}{2}$ = 2

y = 2x + c ← is the partial equation

to find c use any ordered pair from the table

using (- 5, 9 ), then

9 = - 10 + c ⇒ c = 9 + 10 = 19

y = 2x + 19 ← linear equation

As a check

x = - 7 : y = - 14 + 19 = 5 ← correct value of y

x = - 5 : y = - 10 + 19 = 9 ← correct value of y

x = - 3 : y = - 6 + 19 = 13 ← correct value of y

x = - 1 : y = - 2 + 19 = 17 ← correct value of y

4 0

3 years ago

Which ordered pair tells the location of the smiley face on the coordinate system?

Jet001 [13]

Answer:

(5,2)

Step-by-step explanation:

You have to look to the X axis and you'll see the smiley face 5 bars/lines across from the vertex or 0.

Next, you'll need to look at the Y axis and see that the smiley face is 2 bars/lines vertically from 0.

So all you need to do is put the numbers into (x,y) and you'll get (5,2)

Hope this helps!

8 0

3 years ago

I need help pleaseee!!

professor190 [17]

answer:

x=-4/7 and the slope is 7

4 0

3 years ago

Read 2 more answers

Express the function y=5x^2+15x-2 in vertex form

mina [271]

Y = 5<span><span>(x+<span>32</span>)^</span>2 </span>− <span><span>53/4 (the / is for fraction)</span></span>

4 0

4 years ago