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liraira [26]
3 years ago
6

Different lengths of crayons?

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0
Crayons have an average length of 3.5 inches, or 89mm
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24xy-10y-18x from 13xy+12y+14x with explanation
Sav [38]

Answer:

24xy+2y−234x​2fromy+14x

Step-by-step explanation:

24xy−10y−(18×13)xxfromy+12y+14x

24xy−10y−234xxfromy+12y+14x

24xy−10y−234x​2fromy+12y+14x

24xy+(−10y+12y)−234x​2fromy+14x

4 0
3 years ago
The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900
Tems11 [23]
The poopulation exponential model is given by

P(t)=P_0e^{kt}

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

970=790e^{50k} \\  \\ \Rightarrow e^{50k}=1.228 \\  \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\  \\ \Rightarrow k=0.0041

Thus, the exponential equation using the 1750 and the 1800 population values is P(t)=790e^{0.0041t}

The population of 1900 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times150} \\  \\ =790e^{0.6158}=790(1.8511) \\  \\ =1,462

The population of 1950 using the 1750 and the 1800 population values is given by

P(t)=790e^{0.041\times200} \\  \\ =790e^{0.821}=790(2.2729) \\  \\ =1,796

From the table, it can be seen that the actual figure is greater than the exponential model values.
7 0
3 years ago
Junior has 4 skittles in a bag, one is red, one is blue, one is green, and one is yellow. Junior takes a skittle out and eats it
forsale [732]

Answer:

The tree diagram is shown below.

Step-by-step explanation:

The color of the four skittles Junior had in his bag are:

S = {red (R), blue (B), green (G) and yellow (Y)}

It is provided that Junior takes a skittle out and eats it and then takes another skittle from the bag.

So, Junior has four options for the first draw, i.e. {R, B, G and Y}.

Then three options for the second draw. But the second draw is dependent on the first draw.

  • If Junior ate the red skittle first, then the second skittle could be any of the three, (B, G and Y).
  • If Junior ate the blue skittle first, then the second skittle could be any of the three, (R, G and Y).
  • If Junior ate the green skittle first, then the second skittle could be any of the three, (R, B and Y).
  • If Junior ate the yellow skittle first, then the second skittle could be any of the three, (R, B and G).

Consider the tree diagram below to better understand the information above.

6 0
3 years ago
What is the area of the figure below a. 7.5 b. 15 c. 21.25 d. 42.5
Marina86 [1]

Check the picture below.

let's recall that in a Kite, the diagonals meet at 90° angles, therefore, we know the height of each of those 4 triangles, is 2.5 and 6, now, since the pair of triangles above are 45-45-90 triangles, we can use the 45-45-90 rule, as you see there, so, if the height is 2.5, then the base is also 2.5.

so, we really have 2 pair of triangles whose base is 2.5 and height of 2.5, and another pair of triangles whose base is 2.5 and height is 6, let's add their areas.

\bf \stackrel{\textit{area of 2 triangles above}}{2\left[\cfrac{1}{2}(2.5)(2.5) \right]}~~+~~\stackrel{\textit{area of 2 triangles below}}{2\left[ \cfrac{1}{2}(2.5)(6) \right]}\implies 6.25+15\implies 21.25

6 0
3 years ago
Read 2 more answers
Which number is a perfect cube? O25 O36 O125 O300<br><br><br> please
madam [21]

Answer:

125

Step-by-step explanation:

We're looking for a number that we can multiply three of the same number to get. For example, 25 is a perfect square, because 5*5 = 25.

You can test these all on your calculator, if you're allowed! Just take the third root of all of them, and if it's a whole number, you know you have a perfect cube.

The answer, though, is 125, because 5*5*5 = 125.

6 0
3 years ago
Read 2 more answers
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