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3 years ago

Will upvote:

Mathematics

1 answer:

suter [353]3 years ago

3 0

The value of 1.008 expressed as a mixed number would be 1 and 8/1000, as the value of 8 is in the thousandths position.

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(-9,-2) (-5,0)<br> What’s the slope

serious [3.7K]

Answer:

0.5 or 1/2

Step-by-step explanation: Use the slope formula: y2 - y1 / x2 - x1

0 - (-2) / -5 - (-9)

2 / 4

= 0.5 or 1/2

6 0

3 years ago

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Find the sum: 26,807 + 58,095 = ______.

aksik [14]

Answer:

84902

Step-by-step explanation:

3 0

3 years ago

Complete the addition. 7/15+1/3+3/5 Please show work.And explain all reasoning.

stellarik [79]

$\frac{7}{15} + \frac{1}{3} + \frac{3}{5} = \frac{7}{15} + \frac{5}{15} + \frac{9}{15} = \frac{21}{15} = \frac{7}{5} = 1.4$

5 0

3 years ago

A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2.

IRISSAK [1]

Answer:

80 feet

Step-by-step explanation:

Given:

Initial speed of the car ( $v_0$ ) = 40 ft/sec

Deceleration of the car ( $\frac{dv}{dt}$ ) = -10 ft/sec²

Final speed of the car ( $v_x$ ) = 0 ft/sec

Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.

Now, deceleration means rate of decrease of velocity.

So, $\frac{dv}{dt}=-10\ ft/sec^2$

Negative sign means the velocity is decreasing with time.

Now, $\frac{dv}{dt}=\frac{dv}{dx}(\frac{dx}{dt})$ using chain rule of differentiation. Therefore,

$\frac{dv}{dx}\cdot\frac{dx}{dt}= -10\\\\But\ \frac{dx}{dt}=v.\ So,\\\\v\frac{dv}{dx}=-10\\\\vdv=-10dx$

Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,

$\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft$

Therefore, the car travels a distance of 80 feet before stopping.

4 0

3 years ago

The factor tree below provides the factors of 18. What is the prime factorization of 18?

Softa [21]

The prime factorization of 18 is
2 × 3²

____
You could read this from the factor tree by looking at the leaves.

4 0

3 years ago

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