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san4es73 [151]
2 years ago
11

The following items are available for use in a pan balance to measure the weight of a large rock. Which items will yield the gre

atest level of accuracy, that is, approximate the true weight of the rock with the least error? You may only use items of the kind selected, and may not mix items.
A. marbles
B. salt
C. basketballs
D. oranges
Mathematics
1 answer:
weqwewe [10]2 years ago
8 0
The correct option is B.
Pan balance is one of the instruments that are used to measure weights of objects. The instrument is designed in such a way that, it has two pans and a standard weight can be added to one of the pan to determine the weight of the object in the other pan. In the question given above, the pan balance is to be used to measure the weight of a large rock. Salt is the right object to be used on the second pan because it can be packaged in standard weights and it is very light in weight. So, it will be very sensitive to the weight of the rock that is been added on the other pan. 
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A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 3
inna [77]

Answer:

-1/4 meter per minute

Step-by-step explanation:

Since, the volume of a cube,

V=r^3

Where, r is the edge of the cube,

Differentiating with respect to t ( time )

\frac{dV}{dt}=3r^2\frac{dr}{dt}

Given, \frac{dV}{dt}=-3\text{ cubic meters per minute}

Also, V = 8 ⇒ r = ∛8 = 2,

By substituting the values,

-3=3(2)^2 \frac{dr}{dt}

-3=12\frac{dr}{dt}

\implies \frac{dr}{dt}=-\frac{3}{12}=-\frac{1}{4}

Hence, the rate of change of an edge is -1/4 meter per minute.

4 0
2 years ago
Your utility company charges 11 cents per​ kilowatt-hour of electricity. Complete parts​ (a) and​ (b) below. a. What is the dail
Colt1911 [192]

Answer:

a. 9.9 cents

b. 26.5 dollars

Step-by-step explanation:

The first thing they mention to us is the cost of energy 11 cents / kwh

a) In the first point they ask us to calculate the daily cost of keeping the flashlight on for 12 hours, they tell us that it consumes 75 watts per hour, but this value must be passed to kW because the cost is given in kWh

to pass it, it would be: 75 watt * 1 kw / 1000 watt = 0.075 kw,

the formula to apply would be like this:

Daily cost = flashlight cost * time * energy cost

we all know them so we replace:

Daily cost = 0.075 kw * 12 h * 11 cents / kwh = 9.9 cents

b) Now, to know the annual savings, we must calculate the difference between the expense of the normal flashlight and the LED, let's calculate the daily cost of the LED, like this:

20 watt * 1 kw / 1000 watt = 0.02 kw

Daily cost = 0.02 kw * 12 h * 11 cents / kwh = 2.64 cents

Now by calculating the difference we multiply by 365 which are the days of a year.

Savings / year = (9.9 - 2.64) * 365 = 2649.9 cents = 26.5 dollars.

5 0
2 years ago
Carrie spent  1 /4  of her allowance on a shirt,  1 /3  of her allowance on a skirt, and $8 on a belt. If she spent $22 in all,
charle [14.2K]

Hi There!

Answer:

$24

Step-by-step explanation:

= 1/4 + 1/3

= 3/12 + 4/12

= 7/12

7/12a + 8 = 22

Subtract 8 to both sides of the equation.

7/12a + 8 - 8 = 22 - 8

Simplify

7/12a = 14

Switch

a = 12/7 * 14

Simplify

a = $24

Hope This Helps :)

6 0
2 years ago
Read 2 more answers
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for
saul85 [17]

Answer:

y hat = 2114.20 + 18.96x

Step-by-step explanation:

Given the least square regression model equation:

y hat = -959.00 + 8.60x

weld diameter x ; shear strength y (in pounds)

1 lb = 0.4536 kg

To express shear strength y in kilogram:

y is multiplied by 0.4536

(y hat × 0.4536) = -959.00 + 8.60x

Divide both sides by 0.4536

(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536

y hat = 2114.1975 + 18.959435x

y hat = 2114.20 + 18.96x

7 0
2 years ago
John spends $2.75 on donuts for his office employees every weekday. On Sunday mornings he takes his wife and kids to the donut s
Airida [17]

Answer:

(d)- $26.74

Step-by-step explanation:

John spends $2.75 on donuts for his office employees every weekday. On Sunday mornings he takes his wife and kids to the donut shop and spends $12.99. How much money does John spend on donuts throughout the week?

a) $23.24

b) $19.64

c) $29.14

d) $26.74

3 0
2 years ago
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