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Anton [14]
3 years ago
13

How many fourths are in 50?

Mathematics
1 answer:
exis [7]3 years ago
4 0

You just divide 50 by 1/4:

50 / 1/4 = (50*4)/1 = 200/1 = 200

There are 200 fourths in 50

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3³y³ I'm pretty sure.

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Solve the following expression when<br> t = 3 and s = 2<br> (12t) = (6s)<br> Enter
larisa86 [58]

From the solution of the expression, it can be seen that s = 6 when t = 3 while t = 1 when s = 2.

<h3>How do we solve a mathematical expression?</h3>

Given:

(12t) = (6s) ........................ (1)

When t = 3, we can solve for s from the expression in equation (1) by substituting t = 3 into the equation as follows:

12 * 3 = 6s

36 = 6s

s = 36 / 6

s = 6

When s = 2, we can solve for t from the expression in equation (1) by substituting s = 2 into the equation as follows:

12t = 6 * 2

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t = 12 / 12

t = 1

Learn more about mathematical expression here: brainly.com/question/12401681.

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express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]
Lemur [1.5K]

The limit as a definite integral on the interval $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π , 4π] is $\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$.

<h3>What is meant by definite integral?</h3>

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$

substitute the values in the above equation, we get

= $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π, 4π],

simplifying the above equation

$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$

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