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Dafna11 [192]
3 years ago
10

A biologists uses the equation l = 2a + 13.1 to estimate the length (l), in centimeters, in terms of the age (a), in months. Bas

ed on the model, what is the estimated increase, in centimeters, of the length of the fish each month?
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

b = 3.1

Step-by-step explanation:

Since the length of one of the longer sides, a, has been given to be 6.3, plug it into the equation.

2(6.3) + b = 15.7

12.6 + b = 15.7

b = 15.7 - 12.6

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I NEED HELP PLEASE! :)
timofeeve [1]

Answer:

Alternate Interior Angles Theorem

Step-by-step explanation:

Angle 1 and Angle 2 are alternate interior angles, meaning they are congruent to one another. You can tell they're alternate interior angles because they are located between the two parallel lines but on opposite sides of the transversal.

7 0
3 years ago
Read 2 more answers
A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach. To
kolezko [41]

The statement third, “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.

<h3>What is a survey?</h3>

A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.

We have:

A local baseball team is struggling this season, and many fans of the team believe it may be time to replace the head coach.

Number of votes V(n) = 2367

After the value of V(n) 79% of those who responded felt the coach should be fired.

Based on the data given, we can say this is referred to as voluntary response bias. The outcome exaggerates the level of support for firing the coach.

Thus, the statement third “This is voluntary response bias. The result overestimates true support for firing the coach” is correct.

Learn more about the survey here:

brainly.com/question/17373064

#SPJ1

4 0
3 years ago
Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

3 0
3 years ago
A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos
andrezito [222]

Answer:

x  =  1,5 cm

h  =  6  cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b)  = 13,5 cm³

Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

8 0
3 years ago
yesterday Kate and her cousin Robert went out for a movie. there they spent $50 in total. Robert spent $10 more than kate. how m
antoniya [11.8K]

<em>while the two were at the movies Katie spent $40.00</em>

6 0
3 years ago
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