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2 years ago

Write an equation to find the total number of hours h the instructor exercises in any number of weeks w

Mathematics

1 answer:

shusha [124]2 years ago

3 0

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Analysis of an accident scene indicates a car was traveling at a velocity of 69.5 mph (31.1 m/s) along the positive x-axis at th

STatiana [176]

We can find the acceleration via

${v_f}^2-{v_i}^2=2a\Delta x$

We have

$\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)$

$\implies\boxed{a=-4.09\dfrac{\rm m}{\mathrm s^2}}$

Then by definition of average acceleration,

$a_{\rm ave}=\dfrac{v_f-v_i}t$

so that

$-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t$

$\implies\boxed{t=6.33\,\mathrm s}$

We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is

$v_{\rm ave}=\dfrac{x_f-x_i}t=\dfrac{v_f+v_i}2$

Then

$\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2$

$\implies\boxed{t=6.33\,\mathrm s}$

7 0

3 years ago

The cost of turkey is directly proportional to its weight. If a 12-pound turkey costs $27, how much does a 16-pound turkey cost?

Reptile [31]

Answer:

Step-by-step explanation:

27/12= 2.25

2.25*16=36

6 0

3 years ago

What is the multiplicative inverse of -1/9

Sedaia [141]

A multiplicative inverse is the same thing as a reciprocal, which is basically just flipping the fraction and changing the sign. Therefore the multiplicative inverse of -1/9 is 9

7 0

3 years ago

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Find the product of 4.42 and 3.9

Damm [24]

Answer:

17.238

Step-by-step explanation:

The product is just the result once multiplying, so 4.42 multiplied by 3.9 is 17.238.

6 0

3 years ago

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The system of equations can be solved using linear combination to eliminate one of the variables. 2x − y = −4→10x − 5y = −20 3x

tester [92]

Answer:

Option D is correct.

13x = 39

Step-by-step explanation:

The system of equation is given:

$2x-y = -4$ ....[1]

$3x+5y = 59$ .....[2]

Multiply equation [1] by 5 to both sides we have;

$10x-5y = -20$ .....[3]

Using elimination method:

Add [2] and [3] equations to eliminate y and solve for x, we have;

$13x = 39$

Divide both sides by 13 we get;

x = 3

Substitute x in [1] we have;

2(3)-y = -4

6-y = -4

Subtract 6 from both sides we have;

-y = -10

Divide both sides by -1 we have;

y = 10

⇒Solution: (3, 10)

Therefore, an equation can replace 3x+5y = 59 in the original system and still produce the same solution is,

13x = 39

6 0

3 years ago

Read 2 more answers