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4 years ago

Evaluate the algebraic expression for the given values 6+5(x-6)³ for X=8

Mathematics

1 answer:

Olegator [25]4 years ago

8 0

1086

6+5(x-6)^3
6+5(8-2)^3
6+5(6)^3
6+5(216)
6+1080
=1086

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Find the Pearson correlation coefficient R for the given point round any intermediate calculation to no less than six decimal pl

ElenaW [278]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Get the given data values

STEP 2: Write the formula for calculating the coefficient

STEP 3

: Calculate the correlation coefficient

Using the calculator,

Hence, the value of r is 0.791

7 0

1 year ago

Which unit would I use to measure the circumference of a birthday cake?

Helen [10]

Depends on how rich you are
if you are very rich, use meters (or yards)
if you are kinda rich, use feet
if you are average, use centimeters (or inches)
if poor, use milimeters

6 0

3 years ago

The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature fin

taurus [48]

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = $a(e)^{nt}$

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = $98.6(e)^{nt}$ --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

= 1 hour

Therefore, equation will be,

84.4 = $91.8(e)^{n\times 1}$

eⁿ = $\frac{84.4}{91.8}$

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = $98.6(e)^{-0.08403t}$

$(e)^{0.08403t}=\frac{98.6}{91.8}$

$ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]$

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

= 10:90 - 00:51

= 10:39 am

7 0

3 years ago

What value of y satisfies the system of equations:<br><br> y=-6x+2<br><br> y=x^2+11

Nataly [62]

Answer:

The value of y that satisfies the system of equations is 20

Step-by-step explanation:

we have

$y=-6x+2$

$y=x^{2}+11$

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

the intersection point is (-3,20)

see the attached figure

therefore

The value of y that satisfies the system of equations is 20

8 0

3 years ago

What is the area, in square meters, of the trapezoid below

ahrayia [7]

Answer:

114.12

Step-by-step explanation:

A = (a+b)/2 ×h

= (6.2 + 25.5)/2 ×7.2

=114.12

8 0

3 years ago