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3 years ago

Whitch nuber is the outliner in this data set? 9,12,32,8,11

Mathematics

2 answers:

Marizza181 [45]3 years ago

7 0

Answer:

I think the answer is 32 I hope this helps!!

Ludmilka [50]3 years ago

7 0

32 will be the outliner in this data set !

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Solve the quadratic equation<br> give your answer to 2 decimal places<br> : 3x^2+x-5=0

Dima020 [189]

Given:

The quadratic equation is:

$3x^2+x-5=0$

To find:

The solution for the given equation rounded to 2 decimal places.

Solution:

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

We have,

$3x^2+x-5=0$

Here, $a=3,b=1,c=-5$ . Using the quadratic formula, we get

$x=\dfrac{-1\pm \sqrt{1^2-4(3)(-5)}}{2(3)}$

$x=\dfrac{-1\pm \sqrt{1+60}}{6}$

$x=\dfrac{-1\pm \sqrt{61}}{6}$

$x=\dfrac{-1\pm 7.81025}{6}$

Now,

$x=\dfrac{-1+7.81025}{6}$

$x=1.13504167$

$x\approx 1.14$

And

$x=\dfrac{-1-7.81025}{6}$

$x=-1.468375$

$x\approx -1.47$

Therefore, the required solutions are 1.14 and -1.47.

3 0

3 years ago

Consider the right angle shown below

atroni [7]

Answer:

Part A:

given that cos β = 3/5

that means the base line is 3 and the hypotenuse is 5

Note that, The base line 3 is adjacent to β and opposite to α.

Sin α = opposite / adjacent

sin α = 3 /5

Part B:

α and β are complementary angles

8 0

3 years ago

Type the correct answer in the box

SVEN [57.7K]

Answer:

$log\boxed{7}$

Step-by-step explanation:

$log\frac{14}{3}+log\frac{11}{5}-log\frac{22}{15}$

$=log\bigg(\frac{14}{3}*\frac{11}{5}\bigg)-log\frac{22}{15}$

$=log\bigg(\frac{14*11}{3*5}\bigg)-log\frac{22}{15}$

$=log\bigg(\frac{154}{15}\bigg)-log\frac{22}{15}$

$=log\bigg(\frac{154}{15}\div\frac{22}{15}\bigg)$

$=log\bigg(\frac{154}{15}\times\frac{15}{22}\bigg)$

$=log\bigg(\frac{154}{22}\bigg)$

$=log\boxed{7}$

4 0

3 years ago

Which one has one solution

yawa3891 [41]

Answer:

The first one

Step-by-step explanation:

Because the lines will only meet on one specific point. The second image is parallel meaning there is no solution and the third image has both line overlaying on each other meaning they have multiple solutions. So because the first image shows that the line will end up meeting off the graph we can assume that it has one solution

4 0

3 years ago

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did

Talja [164]

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$450\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 450=3000\left( \frac{r}{100} \right)(3)\implies 450=\cfrac{3000\cdot 3}{100}r \\\\\\ 450=90r\implies \cfrac{450}{90}=r\implies 5=r\implies \stackrel{\textit{in decimal}}{0.05=r}$

4 0

3 years ago