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3 years ago

A proper fraction never has the same value as a mixed number.true or false

Mathematics

2 answers:

Savatey [412]3 years ago

8 0

True because one has a whole number the other is less then a whole number hope this helped ya :)

Marizza181 [45]3 years ago

3 0

<span>A proper fraction never has the same value as a mixed number.true or false

true</span>

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The cost of Ken’s car wash was $23.95. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?

sergejj [24]

Answer:

$3.60

Step-by-step explanation:

15/100 x 23.95 = 3.5925

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4 years ago

The residual plot for a data set is shown.

Cerrena [4.2K]

Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

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3 years ago

Read 2 more answers

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

$x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\$

$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

4 0

2 years ago

forsale [732]

In the situation, the number of bacterias are doubling for each sheet of paper cut, thus, the exponential equation for the puber is:

$f(n) = 2^n$

Initially, there was only one sheet of paper. Then, each sheet is cut in half, so we will have 2 sheets, then 4 sheets, then 8 sheets, and so on. That is, the number of sheets is continuously doubling, thus, the population after n cuts can be modeled by the following <u>exponential equation</u>:

$f(n) = 2^n$

A similar problem is given at brainly.com/question/15563161

7 0

3 years ago

The sum of 15 and n is less than or equal to 8.

lyudmila [28]

Answer:

n ≤ -7

Step-by-step explanation:

Sum of 15 and n is less than or equal to 8.

15 + n ≤ 8

Collect like terms

n ≤ 8 – 15

n ≤ -7

8 0

3 years ago