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3 years ago

6

How can patterns help me divide multiples of 10?

1 answer:

KengaRu [80]3 years ago

3 0

The most common way it helps is because: when you lay them out you know/ see what you are dividing,

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How does the digit 5 in the number 357 compare with the digit 5 in the number 465

OleMash [197]

Answer:

Since the 5 in 357 is in the tens digit, it is 5*10=50, and the 5 in 465 is in the ones digit, so it is 5*1=5. 5≠50

5 0

3 years ago

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State the value of the expression<br> (4.1 × 10^2)(2,4 × 10^3) over (1.5 × 10^7)

Gekata [30.6K]

$\frac{(4.1\cdot10^2)(2.4\cdot10^3)}{1.5\cdot10^7}=\frac{4.1\cdot2.4}{1.5}\cdot10^{2+3-7}=6.56\cdot10^{-2}=0.0656$

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3 years ago

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Find the length of the following two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16

andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

$r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)} dt$

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

$r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)} dt$

Doing the operations inside of the brackets the derivatives are:

1 ) $(\frac{d((1/2)t^2)}{dt} )^2= t^2$

2) $\frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1$

Entering these values of the integral is

$r(t)= \int\limits^{16}_{0} \sqrt{t^2 +2t+1} dt$

It is possible to factorize the quadratic function and the integral can reduced as,

$r(t)= \int\limits^{16}_{0} (t+1) dt= \frac{t^2}{2} + t$

Thus, evaluate from 0 to 16

$\frac{16^2}{2} + 16$

The value is $r= 144 units$

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3 years ago

Mrs.Barritz is packing food bags for the sick. Because of the special health needs of the people to whom they will be delivered,

Rudiy27

Answer:b-(1/4)b+15

Step-by-step explanation:

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3 years ago

a weather forecast predicts a 30% chance of rain for each of the next three days. describe a way to simulate the chance that it

topjm [15]

Answer:

Draw a pie chart looking wheel with 30% and 70% and spin the wheel three times and see what it lands on each time

Step-by-step explanation:

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3 years ago