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3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mathematics

1 answer:

Brums [2.3K]3 years ago

6 0

$\qquad\qquad\huge\underline{{\sf Answer}}♫$

Let's solve ~

Surface area of Cylinder :

$\qquad \sf \dashrightarrow \:2\pi r(r + h)$

$\qquad \sf \dashrightarrow \:2 \pi \times 5(5 + 4)$

$\qquad \sf \dashrightarrow \:10 \pi(9)$

$\qquad \sf \dashrightarrow \:90 \pi$

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Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total

sergey [27]

Answer:

Month 4

Step-by-step explanation:

To solve this problem we must propose an equation that models the number of kilometers of bicycle trails made monthly in Charles City and in Tinsel Town

For Charles City we know that the number of kilometers built in the first month is 5, and it doubles every month. Then we have an exponential equation, in base 2, whose initial value is 5.

This equation has the following form:

$y = C_1 (2^{x-1})$

Where:

$C_1$ is the number of kilometers built in month 1

x is the number of months: {1, 2, 3, 4, 5 ... x}

x = 1 represents month 1.

So:

$Charles\ City\ (km) = 5(2^{x-1})$

For Tinsel Town we know that the number of kilometers built in the first month is 21 and increases at a fixed rate of 5 kilometers per month. This can be modeled by a linear equation.

$Tinsel\ Town\ (km) = 21 + 5(x-1)$

Where x is the number of months. x: {1, 2, 3, 4, 5 ...}

We want to know at the end of what month the total length of the cycle lanes in Charles City first exceeds the length in Tinsel Town

Then we equal both equations and clear x.

$5 (2^{x-1}) = 21 + 5(x-1)\\\\5 (2^{x-1}) - (21 + 5(x-1)) = 0$

Clearing x from this equation is very difficult, so to find x, we iterate until we get the value of x that causes the equation to approach 0.

For x = 3

$5(2^{3-1}) - (21 +5(3-1)) = 0\\\\20- 31= -11$

For x = 4

$5(2^{4-1}) - (21 +5(4-1)) = 0\\\\40 - 36 = 4$

The value must be between x = 3 and x = 4

For x = 3.8

$5 (2^{3.8-1}) - (21 +5(3.8-1)) = 0\\\\34.82 - 35 = 0.18$

Then x ≈ 3.8 months.

Finally we have that By the end of the fourth month the total length of the cycle lanes in Charles City exceeds the length in Tinsel Town

6 0

4 years ago

General Logs Banana Bombs cereal is sold in 10.40 ounce packages. Because the cereal is sold by weight, the number of pieces of

emmasim [6.3K]

Answer:

The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575\frac{12.33}{\sqrt{19}} = 7.28$

The lower end of the interval is the sample mean subtracted by M. So it is 696.58 - 7.28 = 689.3 pieces

The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces

The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.

4 0

3 years ago

Match the equivalent expressions.

yarga [219]

Answer:

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

Step-by-step explanation:

In order to match the equivalent expressions we have to put each expression in its simplest form

So,

$x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12$

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

3 0

4 years ago

Identify the product and express it in scientific notation. 4.7 x (6.02 x 10^23)

Anna11 [10]

Answer:

$\large\boxed{4.7\times(6.02\times10^{23})=2.8294\times10^{24}}$

Step-by-step explanation:

The scientific notation:

$a\times10^k\ \text{where}\ 1\leq a$

We have:

$4.7\times(6.02\times10^{23})=(4.7\times6.02)\times10^{23}=28.294\times10^{23}\\\\=2.8294\times10\times10^{23}=2.8294\times10^{24}$

6 0

3 years ago

GIVING ALOT OF POINTS AND I GIVE BRAINLIEST

pychu [463]

Draw a diagram
the diagram is a right triangle
use the tangent function
tan=opposite/adjacent
call the angle "θ"
tanθ=15/57
tanθ=0.2631579
use the arctan function on your calculator
tan-1θ=0.2631579
θ=14.74356312º or 14º 44' 36.827"

7 0

3 years ago