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4 years ago

What is the two correct answer choices for this

Mathematics

1 answer:

Vesna [10]4 years ago

5 0

Answer)
1 obtuse angle and 2 angles with the same measure of 40
1 right angle and 2 congruent acute angles

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G(t)=2+5<br>f(t) = -1² + 5<br>Find (8 + f)(t)

jolli1 [7]

Answer:

Step-by-step explanation:

Given that,

G(t) = 2+5

F(t) = -1^2 + 5

= (-1 x -1) = 1

Therefore, F(t) = 1 + 5

G(t)= 7

Substitute 7 for(t)

F(7) =1+5

To find (8+f)(t)

Substitute all for t

(8+6)x7

=(14)x7

=98

5 0

3 years ago

The equation p(t) = 1.e represents a

zvonat [6]

Answer:

(b), (d) and (e)

Step-by-step explanation:

Given

$p(t) = 1 * e^t$

See attachment for $y = p(t)$

Required

Select true statements from the given options

(a) $\ln(30)$ = days the bacteria reaches 30000

We have:

$p(t) = 1 * e^t$

In this case:

$t = \ln(30)$ and $p(t) = 30000$

So, we have:

$30000 = 1 * e^{\ln(30)}$

$30000 = e^{\ln(30)}$

Using a calculator, we have:

$e^{\ln(30)} = 30$

So:

$30000 = 30$

The above equation is false.

(a) is not true

(b) The graph shows that $\ln(20) \approx 3$

We have:

$p(t) = 1 * e^t$

Let t = 3

So;

$p(3) = 1 * e^3$

From the graph, $p(3) = 20$

So:

$20 = 1 * e^3$

$20 = e^3$

Take natural logarithm of both sides

$\ln(20) = \ln(e^3)$

This gives:

$\ln(20) = 3$

(b) is true

(c) $\ln(t) = y$ is the logarithm form of $y = e^t$

We have:

$y = e^t$

Take natural logarithm of both sides

$\ln(y) = \ln(e^t)$

This gives:

$\ln(y) = t$

$\ln(y) = t$ $\ne$ $\ln(t) = y$

(c) is false

(d) $e^4 > 50$ and $\ln(50) < 4$

From the graph, we have:

$e^4 = 54$ --- rough readings

This implies that:

$e^4 > 50$ is true

Because $54 > 50$

Take natural logarithm of both sides

$\ln(54) > \ln(50)$

Rewrite as:

$\ln(50) < \ln(54)$

We have:

$e^4 = 54$

Take natural logarithm of both sides

$\ln(e^4) = \ln(54)$

$4 = \ln(54)$

$\ln(54) = 4$

Substitute $\ln(54) = 4$ in $\ln(50) < \ln(54)$

$\ln(50) < 4$

(d) is true

(e) The graph shows that $10 \approx \ln(2.3)$

We have:

$p(t) = 1 * e^t$

Let t = 2.3

So;

$p(2.3) = 1 * e^{2.3}$

From the graph,

$p(2.3) = 10$ ---- rough readings

So:

$10 = 1 * e^{2.3}$

$10 = e^{2.3}$

Take natural logarithm of both sides

$\ln(10) = \ln(e^{2.3})$

This gives:

$\ln(10) = 2.3$

(e) is true

4 0

3 years ago

Help asap, The graph compares the total cost of buying movie tickets for members and nonmembers of a movie club

Tatiana [17]

A negative correlation is the relationship where an increase in one of the variable say x lead to a decrease in the other variable say y

In the question given, the variables are the number of workers in the x- axis and the hours of complete job in the y axis

Therefore option C is the only option where increase in the number of workers led to decrease in the hours of complete job

Hence the correct answer is option C

3 0

1 year ago

What is the area of trapezoid ABCD ? (Enter your answer as a decimal or whole number)

MrRa [10]

Check the picture below.

bear in mind that, the "bases" are the two parallel sides, and the height is the distance between them.

$\bf \textit{area of this trapezoid}\\\\
A=\cfrac{AB(BC+AD)}{2}\\\\
-------------------------------\\\\
\textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ -1}}\quad ,&{{ 5}})\quad 
% (c,d
B&({{ 3}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
AB=\sqrt{[3-(-1)]^2+[2-5]^2}\implies AB=\sqrt{(3+1)^2+(2-5)^2}
\\\\\\
AB=\sqrt{16+9}\implies AB=\sqrt{25}\implies \boxed{AB=5}$

$\bf -------------------------------\\\\
\textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 3}}\quad ,&{{ 2}})\quad 
% (c,d
C&({{ 0}}\quad ,&{{ -2}})
\end{array}
\\\\\\
BC=\sqrt{(0-3)^2+(-2-2)^2}\implies BC=\sqrt{9+16}
\\\\\\
BC=\sqrt{25}\implies \boxed{BC=5}$

$\bf -------------------------------\\\\
\textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ -1}}\quad ,&{{ 5}})\quad 
% (c,d
D&({{ -13}}\quad ,&{{ -11}})
\end{array}
\\\\\\
AD=\sqrt{[-13-(-1)]^2+[-11-5]^2}
\\\\\\
AD=\sqrt{(-13+1)^2+(-16)^2}\implies AD=\sqrt{144+256}
\\\\\\
AD=\sqrt{400}\implies \boxed{AD=\sqrt{20}}$

so, the area for this trapezoid is then

$\bf A=\cfrac{5(5+20)}{2}\implies A=\cfrac{125}{2}\implies A=62\frac{1}{2}$

8 0

4 years ago

Elliot ordered the special at the Even Steven Diner, which included a salad, an entree, and a drink for $15. The sales tax was 9

shusha [124]

Your sales tax is $1.35.
Your tip is $3.00.
Your total is going to be $19.35

5 0

3 years ago