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nydimaria [60]
3 years ago
7

Eight times the sum of a number and six

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

There is any answer as you choose.

Step-by-step explanation:

There is no equal to so you can choose any number.

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What is the square root of 5
Zigmanuir [339]

Answer:

2.236

Step-by-step explanation:

you could estimate it to be between 2 and 3 (because 5 is between 4 and 9)

or you just put it into a calculator

5 0
3 years ago
jason and his family travels 160 miles in 3.2 hours. if they continue at this constant speed, how long will it take them to trav
Misha Larkins [42]
Set up a proportion 
160 mi/ 3.2 hrs ≈ 300 mi/x hrs
cross multiply and solve for x and you get x≈6
It will take them 6 hours

3 0
3 years ago
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5​
gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0
2 years ago
There is a bag filled with 3 blue and 5 red marbles.
SIZIF [17.4K]

3+5=8

Answer:

2/8

Step-by-step explanation:

probability = total number of items ÷2

=8÷2

=2/£

5 0
2 years ago
One thousand tonnes (1000 t, one t equals 10 cubed kg) of sand contains about a trillion (10 super 12) grains of sand. How many
Phantasy [73]

Answer with Step-by-step explanation:

Since 1 mole of sand will contain Avagadro's Number of sand particles (by definition of 1 mole)

Thus we have

1 mole of sand = 6.022\times 10^{23} sand particles

Thus in number of trillion sand particles we have no of trillion sand particles in 12 mole is

\frac{6.022\times 10^{23}}{10^{12}}=6.022\times 10^{11}

Now since it is given that mass of 1 trillion sand particles is 1000 tonnes Thus the mass of 6.022\times 10^{11} trillion sand particles is

Mass=1000\times 6.022\times 10^{11}=6.022\times 10^{14}tonnes

Part 2)

Since it is given that volume of 1 sand particle is 1.0mm^{3} thus the volume of 1 mole of sand is volume of 6.022\times 10^{23} sand particles

Thus volume of 1 mole is V=1.00\times 10^{-18}km^{3}\times 6.022\times 10^{23}=6.022\times 10^{5}km^{3}

Now since the Area of united states is A=3.6\times 10^{6}mile^{2}=5.8\times 10^{6}km^{2}

Thus the depth of the sand pile is

Depth=\frac{Volume}{Area}=\frac{6.022\times 10^5}{5.8\times 10^6}=0.10387km=103.8meters

4 0
3 years ago
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