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3 years ago

Are 5/6 and -4.713 on the same side or the opposite side of zero ?

Mathematics

1 answer:

Alchen [17]3 years ago

8 0

They are on opposite sides of zero because one number is negative and one is positive

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Find the space inside a rectangle with a width of 18 and length of 20

olga nikolaevna [1]

Answer:

360 sq units

Step-by-step explanation:

I'm not completely sure if you want me to find the area or not so I will find the area of the rectangle :)

Area formula: l x w

l x w = 20 x 18

20 x 18 = 360

5 0

3 years ago

A function in the form y = mx + b shows the slope and the y-intercept. The slope is

BigorU [14]

Answer:Slope is 3 y-intercept is -2

Step-by-step explanation:

y=mx+b. m=slope b is y-intercept

y=3x-2

Comparing both equations we find out that slope is 3 and y-intercept is -2

Step-by-step explanation:

7 0

3 years ago

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

Which terms are like terms in the following expression?

Reil [10]

Answer:

9x and -4x

This is the answer

8 0

3 years ago

A naomi's car exponentially depreciates at a rate of 8% per year. if nina bought the car when it was 4-years old for $16,500, .

stich3 [128]

The original price of the car before 4 years will be $23,032.

<h3>What is an exponent?</h3>

Consider the function:

y = P (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, P = original amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

A Naomi's car exponentially depreciates at a rate of 8% per year.

If Nina bought the car when it was 4 years old for $16,500.

Then the original price will be

16500 = P(0.92)⁴

16500 = 0.716P

P = $ 23,032

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

3 0

2 years ago