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Ket [755]
2 years ago
6

Explain how you can compare the size of a product to the size of a factor when multiplying fractions without actually doing the

multiplication. Include a model
Mathematics
1 answer:
TEA [102]2 years ago
3 0
Here is the answer hope it helps and pls brainlest!!! -Have a great day bye!-

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Use technology to create an appropriate model of the data.
Citrus2011 [14]

Answer:

f(x) = 3x - 3

Step-by-step explanation:

Plug into TI-83/84 calculator.

Hit STAT

Hit EDIT

X-Values go in for L1

Y-Values go in for L2

Hit STAT

Scroll over to CALC

Hit #4 for LinReg (Finds line of best fit)

Enter all the way through

A is your slope

B is your y-intercept

7 0
3 years ago
Read 2 more answers
Solve the system of equations and choose the correct ordered pair.
frez [133]
What I would do:

5x + 10y = 35

Divide everything by 5.

x + 2y = 7

x = 7 - 2y

Now plug "x" into either one of the equations.

2(7-2y) + 5y = 15

14 - 4y + 5y = 15

14 + y = 15

y = 1

Now, solve for x by plugging in y into either one of the equations.

2x + 5y = 15

2x + 5 =15

2x = 10

x = 5

So x is 5 and y is 1.

Check by plugging in the values into the other equation.

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

35 = 35

The values are correct so, the answer for this problem is B (5, 1).
3 0
3 years ago
Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the
kicyunya [14]

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

\frac{a}{sinA} = \frac{b}{sinB}

\frac{28}{sinA} = \frac{12}{sin25}

Cross multiply:

28 sin25 = 12 sinA

11.83 = 12 sinA

Sin A = \frac{11.83}{12}

Sin A = 0.986

A = sin^-^1(0.986)

A = 80.44 degrees

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0
3 years ago
Find x when y = 18, if y= 5 when x =4
Harman [31]

Answer:

x=14.4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Please calculate this limit <br>please help me​
Tasya [4]

Answer:

We want to find:

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}

Here we can use Stirling's approximation, which says that for large values of n, we get:

n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n

Because here we are taking the limit when n tends to infinity, we can use this approximation.

Then we get.

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} =  \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}

Now we can just simplify this, so we get:

\lim_{n \to \infty} \frac{1}{e} *\sqrt[2*n]{2*\pi*n} \\

And we can rewrite it as:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n}

The important part here is the exponent, as n tends to infinite, the exponent tends to zero.

Thus:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n} = \frac{1}{e}*1 = \frac{1}{e}

7 0
3 years ago
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