What is the scale factor of triangle ABC to triangle DEF? A. 1/3 B. 1/2 C. 3 D. 2

Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se

Anna11 [10]

Answer:

$1170

Step-by-step explanation:

Let the sells for economy seats be =x

Let the sells for deluxe seats be=y

The inequalities that can be obtained are;

x≥1 --------------------at least 1 economy seats

y≥6 --------------------at least 6 deluxe seats

x+y=30-----------------maximum number of passengers allowed on each boat

Graph the inequalities

Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs

The point is (24,6)

Hence, x=24 and y=6

Profit for each

Economy seats 24×$40=$960

Deluxe seats 6×$35=$210

Maximum profit for one tour

$960+$210=$1170

3 0

3 years ago

A survey at your school found that 842 in 989 students have a cell phone. What percent of the student in school has a cell phone

Mumz [18]

Answer:

85.14% of the students have a cell phone.

8 0

3 years ago

Read 2 more answers

Nabin is twice as old as Kiran.Two years hence he will be 6 years older than Kiran.Find their present ages

Keith_Richards [23]

Answer:

9

Step-by-step explanation:

if hes 6 now and shes or he is 2 tokes older nabin would be 6 with Kiran was 3 so now it's 9 cause they are 3 years apart

8 0

2 years ago

Read 2 more answers

7/13 of the population of a town is female.of the males 2/3 are married,What fraction population consists of unmarried men?

Mariana [72]

Answer:

Step-by-step explanation:

$\frac{7}{13}$ -Female

$\frac{2}{3}$ - Men Married.

$\frac{7}{13} divided by \frac{2}{3} = \frac{7}{13} x\frac{3}{2} = \frac{21}{6} = 3\frac{2}{6} = 3\frac{1}{3}$

Hope this helps :)

3 0

3 years ago

Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0

creativ13 [48]

Applying the differentiation rule, it can be obtained that:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

<h3>What is the formula for differentiating an exponential function?</h3>

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

$\frac{d}{dt}(e^{mt})=me^{mt}$ .

Given that $r(t)=(e^t,e^{2t})$ .

So, differentiating $r(t)=(e^t,e^{2t})$ with respect to $t$ , we get: $r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right)$ .

So, using the above formula $\frac{d}{dt}(e^{mt})=me^{mt}$ , we get: $r'(t)=(e^t,2e^{2t})$ .

Now, substituting $t=t_0=0$ in $r(t)=(e^t,e^{2t})$ and $r'(t)=(e^t,2e^{2t})$ , we obtain:

$r(t_0=0)=(e^0,e^{2\times 0})=(1,1)$ and $r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2)$ .

Therefore, applying the differentiation rule, we get:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

To know about the differentiation rule, refer:

brainly.com/question/25081524

#SPJ9

5 0

1 year ago