Karina bought 4 packages of the type of gum shown.

Mathematics

1 answer:

Radda [10]3 years ago

5 0

Answer:

Step-by-step explanation:4n+3=60

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Find Tan A and Tan B. write each answer as a fraction and as a decimal rounded into four places.

Artist 52 [7]

Tan A = 18/27
Tan A = 2/3
Tan A = 0.6667

Tan B = 27/18
Tan B = 3/2
Tan B = 1.5000

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3 years ago

A student reader is making $8.10 per hour and gets a $0.66 raise. What is the percent increase? (Round to the nearest tenth of a

kicyunya [14]

The answer is 8.2 percent

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3 years ago

Find f(-3) if f(x) = x2<br> Help me please!!

tatuchka [14]

Answer:

-3x^2

Step-by-step explanation:

negative three x squared

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3 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

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3 years ago

If g(x) = 3x − 4, what is the value of g−1(g(13))?

Vsevolod [243]

The function g(x) = 3x-4 is a linear function. Therefore the inverse does exist (which is also linear)

Because we have an inverse, this means we can use the rule
$g^{-1}(g(x)) = x$

Replace x with 13
$g^{-1}(g(x)) = x$
$g^{-1}(g(13)) = 13$

The answer is choice D

7 0

3 years ago

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