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3 years ago

11.50 + 1.15x = 12.65

Mathematics

2 answers:

Assoli18 [71]3 years ago

8 0

X=1 I hope it helps but I’m sorry if it’s wrong

Illusion [34]3 years ago

7 0

Answer: the answer is x= 1

Step-by-step explanation:

So we are dealing with 11.50 - 11.50 + 1.15x = 12.65 - 11.50

our first step is Simplify both sides of the equation so:

11.5 + -11.50 + 1.15x = 12.65 + -11.50 turns into:

(1.15x) + (11.5+ -11.5)= (12.65 + -11.5)

**we know 11.5 + -11.5 will cancel each other since they are opposite**

so it will be 1.15x= 1.15

now the very last step is to divide 1.15x on both sides which gives us 1

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Whats the perimeter of a semicircle of 6cm

pashok25 [27]

Answer:

P = 15.42 cm

Step-by-step explanation:

Perimeter of circle = (πD/2)+D

Where D = 6 cm

P =( (3.14)(6)/2) + 6

P = (3.14)(3)+6

P = 9.4 + 6

P = 15.4 cm

3 0

4 years ago

(-2/3)^7*(3/5)^6*(5/6)^5*(1/3)^-7 simplify of law of indices

Wewaii [24]

Answer:

$\boxed {-\frac{12}{5}}$

Step-by-step explanation:

Solve the following expression:

$(-\frac{2}{3})^{7} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

-Calculate $-\frac{2}{3}$ to the power of $7$ :

$(-\frac{2}{3})^{7} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

$-\frac{128}{2187} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

-Calculate $\frac{3}{5}$ to the power of $6$ :

$-\frac{128}{2187} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

$-\frac{128}{2187} \times (\frac{729}{15625}) \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

-Multiply both $-\frac{128}{2187}$ and $\frac{729}{15625}$ :

$-\frac{128}{2187} \times (\frac{729}{15625}) \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

$-\frac{128}{46875} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

-Calculate $\frac{5}{6}$ to the power of $5$ :

$-\frac{128}{46875} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}$

$-\frac{128}{46875} \times (\frac{3125}{7776}) \times (\frac{1}{3})^{-7}$

-Multiply both $-\frac{128}{46875}$ and $\frac{3125}{7776}$ :

$-\frac{128}{46875} \times (\frac{3125}{7776}) \times (\frac{1}{3})^{-7}$

$-\frac{4}{3645} \times (\frac{1}{3})^{-7}$

-Calculate $\frac{1}{3}$ to the power of $-7$ :

$-\frac{4}{3645} \times (\frac{1}{3})^{-7}$

$-\frac{4}{3645} \times 2181$

-Multiply both the $-\frac{4}{3645}$ and $2187$ :

$-\frac{4}{3645} \times 2181$

$\boxed {-\frac{12}{5}}$

Therefore, the final answer is $-\frac{12}{5}$ .

3 0

3 years ago

Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.

sweet [91]

The length of the parametric curve (call it <em>C </em>) is given by

$\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

We have

$x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t$

$y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t$

Now,

$\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t$

so that the arc length integral reduces to

$\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt$

which has an approximate value of 53.4596.

8 0

3 years ago

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irakobra [83]

The top portion of this graph would be y = 4

The bottom portion would be y = x - 1

In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.

For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)

m = (y1 - y2)/(x1 - x2)

m = (4 - 2)(5 - 3)

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So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)

y = mx + b

4 = 1(5) + b

4 = 5 + b

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Now put them together in an equation for the bottom part: y = x - 1

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3 years ago

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allochka39001 [22]

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5 0

3 years ago

Read 2 more answers