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3 years ago

4) BRAINLIEST + 10 + POINTS! :)

Mathematics

2 answers:

aleksklad [387]3 years ago

8 0

Answer:

The answer is C Good luck

Step-by-step explanation:

Marizza181 [45]3 years ago

3 0

Answer:

Step-by-step explanation:

We need to isolate the D, but in order to do so, we have to make some changes to both sides of the inequality.

First, we need o add 31.2 to both sides of the inequality:

36 + 31.2 ≤ 1.02D ≤ 41 + 31.2

67.2 ≤ 1.02D ≤ 72.2

Now, divide all side by 1.02:

67.2/1.02 ≤ D ≤ 72.2/1.02

65.9 ≤ D ≤ 70.8

Thus, the answer is C.

Hope this helps!

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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 $r= 144 units$

5 0

4 years ago

What is the solution to the equation 2x + 4 = 24? x = 1 x = 3 x = 6 x = 10

horsena [70]

Answer:

x = 14

Step-by-step explanation:

1.1 Pull out like factors :

2x - 20 = 2 • (x - 10)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : x-10 = 0

Add 10 to both sides of the equation :

x = 10

One solution was found :

x = 10

4 0

3 years ago

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Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.

harkovskaia [24]

Ahh..this is sets topics - A U B = all the elements found in A and B. But do note, do not repeat the elements if it is the same. And if the question were to ask : n(AUB) = total number of elements found in A and B.

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4 years ago

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I don't know what the answer is to divide 180 in a ratio of 4:5:9

Karolina [17]

Hello there,

First you need to add together the numbers.
4+5+9 = 18
Divide the total by this,
180 / 18 = 10
Multiply each number by 10.
40:50:90.

Hope This Helps You!
Good Luck Studying :)

4 0

4 years ago

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What is the greatest common factor of 18&28

mestny [16]

List the GCF of 18 and 28
18: 1, 2, 3, 6, 9, 18
28: 1, 2, 4, 7, 14, 28
So 2 is the GCF because it is the greatest number that can divide by both numbers

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4 years ago