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3 years ago

Solve w + 1⁄4 < 7⁄8.

Mathematics

2 answers:

cestrela7 [59]3 years ago

7 0

Answer:

w <0.125

Step-by-step explanation:

liberstina [14]3 years ago

6 0

Answer:

w < 5/8

Step-by-step explanation:

Aim to isolate w. Subtract 1/4 from both sides, obtaining:

w < 7/8 - 2/8 (since the LCD here is 8)

Then:

w < 5/8

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The time, t in seconds that it takes a car to travel a quarter-mile when starting from a full stop can be estimated by using the

sammy [17]

The computation of the power shows that Natasha was right as the value gotten is 295hp.

<h3>How to calculate power?</h3>

From the information given, t is given as 5.825 to the cube root of w/p.

In this case, the value of p will be:

p = w/t³(5.823)³

p = 3590(5.823)³ / (13.4)³

p = 708828.13/2406.104

p = 295hp

In conclusion, Natasha was correct.

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2 years ago

-9÷-1what is -9 divided by -1

evablogger [386]

-9 is the answer hope this helps.

8 0

3 years ago

Which graph represents the solution set of the inequality -9 > x?

hram777 [196]

Answer:

Step-by-step explanation:

open circle is greater then or less then

closed circle is less than or equal to and greater than or equal to

4 0

3 years ago

Read 2 more answers

Pls help asap!! pic is shown

dsp73

The points (-5, 1), (-2, 4), (2, 4), and (-5, 1) gives the piecewise defined function as the second option;

g(x) = x + 6, when x < -2

g(x) = x², when -2 ≤ x < 2

g(x) = 6 - x, when x ≥ 2

<h3>How can the correct piecewise defined function be found?</h3>

Parts of the function are:

x < -2

Slope = (4-1)/(-2-(-5)) = 1

Equation is: g(x) - 4 = x - (-2)

g(x) - 4 = x + 2

g(x) = x + 2 + 4 = x + 6

g(x) = x + 6

In the region, -2 ≤ x < 2, points on the graph are;

(-2, 4), (0, 0), (2, 4)

The above points corresponds with the function;

g(x) = x²

In the region x ≥ 2, we have;

Slope = -1

Equation is: g(x) - 4 = -1×(x - 2) = 2 - x

Therefore;

g(x) = 4+2 - x = 6 - x

g(x) = 6 - x

The rule for the piecewise defined function is therefore;

g(x) = x + 6, when x < -2
g(x) = x², when -2 ≤ x < 2
g(x) = 6 - x, when x ≥ 2

The correct option is therefore the second option;

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3 0

2 years ago

After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 ho

cupoosta [38]

Answer:

250 hours

Step-by-step explanation:

The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96) and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².

This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is

$a\frac{1-r^{n}}{1-r}$ , with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then

$10\frac{1}{0.04} =10*25=250$

5 0

3 years ago