A number is four times larger than the square of a third of the number, THIS QUESTION IS WORTH 15

Find the x and the area of the shape perimeter is 64.5

Umnica [9.8K]

Answer:

x=8

A = 192

Step-by-step explanation:

The perimeter is the sum of the outer lengths

17.9 + 22.6 + 3x = 64.5

Combine like terms

40.5 +3x = 64.5

Subtract 40.5 from each side

40.5 +3x -40.5 = 64.5 - 40.5

3x =24

Divide each side by 3

3x/3 = 24/3

x = 8

The area of a triangle is given by

A = 1/2 bh

The base is 3x = 3(8) =24

and the height is 2x = 2(8) =16

A = 1/2 (24) * 16

A =192

4 0

3 years ago

Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.

Pie

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

4 0

3 years ago

Read 2 more answers

The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th

Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

$s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16$

The t-value can be calculated as:

$t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47$

4 0

3 years ago

What is the value of x?

lesantik [10]

50.6
$\frac{x}{72.6 } = \frac{46.2 - 14}{46.2}$
$x = 32.2 \times 72.6 \div 46.2$
$x = 50.6$

8 0

3 years ago

Now is your chance to think about the United States Constitution as a living document. Your task is to propose a new amendment t

Delvig [45]

The 13th amendment because This amendment abolished slavery and involuntary servitude. For what’s happening now I think we need this amendment added to the constitution right now because a lot of people are dying for their race. Not only that but they also get accused of things that aren’t even they don’t know what happened. And it’s really sad because some people get plastic surgery because of their skin. For example Michael Jackson.

8 0

2 years ago