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2 years ago

John needs to put the set of numbers below in ascending order.

1 answer:

5 0

Answer is B) -11
Reason
Ascending order means smallest to biggest
-11 is the furthest from 0 to the left (negative numbers)

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Is 1/3 greater than less than or equal to 0.33

zubka84 [21]

0.33 is less than 1/3

7 0

3 years ago

Read 2 more answers

Evaluate the Riemann sum for f(x) = 3 - 1/2 times x between 2 and 14 where the endpoints are included with six subintervals taki

Digiron [165]

Answer:

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for $f(x) = 3 - \dfrac{1}{2}x$ from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

$L_6 = \int ^{14}_{2}3- \dfrac{1}{2}x \dx = \lim_{n \to \infty} \sum \limits ^6 _{i=1} \ f (x_i -1) \Delta x$

where:

$\Delta x = \dfrac{b-a}{a}$

a = 2

b =14

n = 6

∴

$\Delta x = \dfrac{14-2}{6}$

$\Delta x = \dfrac{12}{6}$

$\Delta x =2$

Hence;

$x_0 = 2 \\ \\ x_1 = 2+2 =4\\ \\ x_2 = 2 + 2(2) \\ \\ x_i = 2 + 2i$

Here, we are using left end-points, then:

$x_i-1 = 2+ 2(i-1)$

Replacing it into Riemann equation;

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} \begin {pmatrix}3 - \dfrac{1}{2} \begin {pmatrix} 2+2 (i-1) \end {pmatrix} \end {pmatrix}2$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2(i-1))$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2i-2)$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 -2i$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 2i$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - 2 \lim_{n \to \infty} \sum \imits ^{6}_{i=1} i$

Estimating the integrals, we have :

$= 6n - 2 ( \dfrac{n(n-1)}{2})$

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

5 0

3 years ago

4 Move the digits in 625,134 to create a new number.Move the 2 so it is worth 1_10as much.Move the 3 so it is worth 10 times as

Jet001 [13]

Answer:

452,316

Step-by-step explanation:

Why do you need a step by step, and i dont see how you would get one.

5 0

3 years ago

Simplify: -3(4x - 5)

nata0808 [166]

Answer:

$8x - 26 \\ -16x - 4 \\ -12x + 15$

Step-by-step explanation:

2(4x - 8) - 10

8x - 16 - 10

|_______|

8x - 26

-5x + 8 - 11x - 12

___ ___ _____ ____

___ ____

-16x - 4

-3(4x - 5)

-12x + 15

For the third and first exercises, you just use the Distributive Property, and for the second exercise, all you are doing is combining like-terms.

I am joyous to assist you anytime.

7 0

3 years ago

What is the area of the yellow region? INEED HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!

True [87]

Answer:

A=¼πr²

=¼(3.142×5²)

=19.64 square miles

8 0

3 years ago