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2 years ago

P(t)=4t -5, find p(t-2)

Mathematics

1 answer:

Anna11 [10]2 years ago

5 0

Just substitute t=t-2 in given function.
so, p(t-2)=4(t-2)-5
=4t-8-5
=4t-13
so, p(t-2)= 4t-13

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Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

7 0

3 years ago

A University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students. A s

Alla [95]

Answer:

The point estimate for this problem is 0.48.

Step-by-step explanation:

We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.

A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".

Let $\hat p$ = proportion of students who felt comfortable reporting cheating by their fellow students

Now, point estimate ( $\hat p$ ) is calculated as;

$\hat p=\frac{X}{n}$

where, X = number of students who answered yes = 1,344

n = number of students surveyed = 2,800

So, Point estimate ( $\hat p$ ) = $\frac{1,344}{2,800}$

= 0.48 or 48%

5 0

3 years ago

2qt= ?ml round to nearest hundredths

bezimeni [28]

Answer:

1982.71 mL

Step-by-step explanation:

1 qt = 946.353 mL

2 qt = 1982.71 mL

8 0

3 years ago

Solve for x. −10<−2x+4≤8

Rus_ich [418]

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6 0

3 years ago

If p(x) = x^2 – 1 and q(x)=5(x-1), which expression is equivalent to (p – q)(x)? 5(x – 1) – x^2 – 1 (5x – 1) – (x^2 – 1) (x^2 –

Murrr4er [49]

P(x) = x^2 - 1
q(x) = 5(x - 1)
(p - q)(x) = p(x) - q(x) = (x^2 - 1) - 5(x - 1)

8 0

3 years ago