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Neporo4naja [7]

2 years ago

12

Jennifer has 8 bags of marbles. Each bag has 5 marbles in it. If she divides all of the marbles into 4 groups, how many will be

in
each group?

2 answers:

Mrac [35]2 years ago

8 0

Answer:

Step-by-step explanation:

8 x 5=40

40 ÷ 4=10

hope this helps!

emmasim [6.3K]2 years ago

3 0

the anwers to the problem is 8,5,4

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923-6932-4909 pass:nL8tXw <br> Z.OOM

gtnhenbr [62]

Answer:

mmmmm no

Step-by-step explanation:

why are you advertising on here

7 0

2 years ago

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The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of the bridge is 1210 m long and

brilliants [131]

Answer:

The approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

Step-by-step explanation:

The equation of the parabola is:

$y=0.00035x^{2}$

Compute the first order derivative of <em>y</em> as follows:

$y=0.00035x^{2}$

$\frac{\text{d}y}{\text{dx}}=\frac{\text{d}}{\text{dx}}[0.00035x^{2}]$

$=2\cdot 0.00035x\\\\=0.0007x$

Now, it is provided that |<em>x </em>| ≤ 605.

⇒ -605 ≤ <em>x</em> ≤ 605

Compute the arc length as follows:

$\text{Arc Length}=\int\limits^{x}_{-x} {1+(\frac{\text{dy}}{\text{dx}})^{2}} \, dx$

$=\int\limits^{605}_{-605} {\sqrt{1+(0.0007x)^{2}}} \, dx \\\\={\displaystyle\int\limits^{605}_{-605}}\sqrt{\dfrac{49x^2}{100000000}+1}\,\mathrm{d}x\\\\={\dfrac{1}{10000}}}{\displaystyle\int\limits^{605}_{-605}}\sqrt{49x^2+100000000}\,\mathrm{d}x\\\\$

Now, let

$x=\dfrac{10000\tan\left(u\right)}{7}\\\\\Rightarrow u=\arctan\left(\dfrac{7x}{10000}\right)\\\\\Rightarrow \mathrm{d}x=\dfrac{10000\sec^2\left(u\right)}{7}\,\mathrm{d}u$

$\int dx={\displaystyle\int\limits}\dfrac{10000\sec^2\left(u\right)\sqrt{100000000\tan^2\left(u\right)+100000000}}{7}\,\mathrm{d}u$

$={\dfrac{100000000}{7}}}{\displaystyle\int}\sec^3\left(u\right)\,\mathrm{d}u\\\\=\dfrac{50000000\ln\left(\tan\left(u\right)+\sec\left(u\right)\right)}{7}+\dfrac{50000000\sec\left(u\right)\tan\left(u\right)}{7}\\\\=\dfrac{50000000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+5000x\sqrt{\dfrac{49x^2}{100000000}+1}$

Plug in the solved integrals in Arc Length and solve as follows:

$\text{Arc Length}=\dfrac{5000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+\dfrac{x\sqrt{\frac{49x^2}{100000000}+1}}{2}|_{limits^{605}_{-605}}\\\\$

$=1245.253707795227\\\\\approx 1245.25$

Thus, the approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

7 0

3 years ago

Which angles are vertical angles?

shutvik [7]

Answer:

<DCA and <BCF

Step-by-step explanation:

The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.

When two lines cross, two angles that are vertical two one another are equal.
They are know as vertically opposite angles.
When two straight lines cross each other, four angles are produced.
The two vertically opposite have the same values.

6 0

2 years ago

Does anyone know the answer to this?

Alekssandra [29.7K]

Answer:

asa

Step-by-step explanation:

the qngles which are the round things surround the side which are the two lines

8 0

2 years ago

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A town has a population of 12000 and grows at 5% every year. What will be the population after 12 years, to the nearest whole nu

Marizza181 [45]

Answer:

21,550

Step-by-step explanation:

An increase of 5% means the population is multiplied by 100% +5% = 1.05. This occurs each year for 12 years, so the multiplier is ...

1.05¹² ≈ 1.7958563

When the initial population is multiplied by this factor, it becomes ...

12,000×1.7958563 ≈ 21,550

5 0

2 years ago