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3 years ago

Just a short answer please help :( the top

Mathematics

2 answers:

bonufazy [111]3 years ago

6 0

26 is to 100 as x is to 82

26/100 = x/82

Shkiper50 [21]3 years ago

3 0

26/100 = x/82 I think that's what you want.

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Find the values of c such that the area of the region bounded by the parabola

KATRIN_1 [288]

<u>Solution-</u>

The two parabolas are,

$y=16x^2-c^2 \ and \ y=c^2-16x^2$

By solving the above two equations we calculate where the two parabolas meet,

$So \ 16x^2-c^2 = c^2-16x^2 \Rightarrow 32x^2=2c^2 \Rightarrow x=\frac{1}{4}c$

Given the symmetry, the area bounded by the two parabolas is twice the area bounded by either parabola with the x-axis.

$\therefore Area=2\int_{-c}^{c}y.dx= 2\int_{-c}^{c}(16x^2-c^2).dx\\=2[\frac{16}{3}x^3-c^2x]_{-c}^{ \ c}=2[(\frac{16}{3}c^3-c^3)-(-\frac{16}{3}c^3+c^3)]=2[\frac{32}{3}c^3-2c^3]=2(\frac{26c^3}{3})\\=\frac{52c^3}{3}$

$So \frac{52c^3}{3}=\frac{250}{3}\Rightarrow c=\sqrt[3]{\frac{250}{52}}=1.68$

5 0

4 years ago

How do you solve <br> 3d + 4 = 2 + 3d - 1/2

tankabanditka [31]

3d + 4 = 2 + 3d - 1/2

3d + 4 = 1 1/2 + 3d |subtract 3d from both sides

4 = 1 1/2 FALSE

Answer: No solution ( x ∈ ∅ )

7 0

3 years ago

I really need help here ASAP

AlexFokin [52]

Answer:

D. $x=\frac{-4-\sqrt{31}}{3}$ or $x=\frac{-4+\sqrt{31}}{3}$

Step-by-step explanation:

The given equation is:

$3x^2+8x=5$

Divide through by 3;

$x^2+\frac{8}{3}x=\frac{5}{3}$

Add the square of half the coefficient of x to both sides.

$x^2+\frac{8}{3}x+(\frac{4}{3})^2=\frac{5}{3}++(\frac{4}{3})^2$

$x^2+\frac{8}{3}x+\frac{16}{9}=\frac{5}{3}+\frac{16}{9}$

The left hand side is now a perfect square:

$(x+\frac{4}{3})^2=\frac{31}{9}$

Take square root

$x+\frac{4}{3}=\pm \sqrt{ \frac{31}{9}}$

$x=-\frac{4}{3}\pm \sqrt{ \frac{31}{9}}$

$x=-\frac{4}{3}\pm \frac{\sqrt{31}}{3}$

D. $x=\frac{-4-\sqrt{31}}{3}$ or $x=\frac{-4+\sqrt{31}}{3}$

5 0

3 years ago

Write money amounts using a leading zero if necessary & with 2 decimal places (For example: 0.80 or 0.72 or 1.23)

goldenfox [79]

9514 1404 393

Answer:

63 mph
3 donut holes per kid
$0.70 per pound
$2.25 per km

Step-by-step explanation:

In this context, "per" and "for" mean "divided by."

630 mi/(10 h) = 63 mi/h
(24 dh)/(8 kid) = 3 dh/kid
$3.50/(5 lb) = $0.70 /lb
$32/(14 2/9 km) = $32/(128/9 km) = $(9/4)/km = $2.25 /km

3 0

3 years ago

How does writing an equation to represent a real world situation

Pachacha [2.7K]

Could be as simple as adding area together for the total area of a room if that's not what youre looking for add more details

3 0

3 years ago