A biologist observed a curved relationship between the average heart rates and life expectancies of several
mammal species in a large sample. The biologist took the natural logarithm for the values of both variables,
and they noticed a linear relationship in the transformed data.
Here's the least-squares regression equation for the transformed data, where life expectancy (LE) is in
years and heart rate (HR) is in beats per minute.
In(LE
6.33 – 0.78 In(HR)
According to this model, what is the predicted life expectancy of a mammal species whose average heart
rate is 200 beats per minute?
You may round your answer to the nearest whole year.
years
Show Calculator

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Answer:

11/4     0.75    60%    1/2     0.2

Step-by-step explanation:

Given

11/4  0.2   60%   0.75   1/2

Required

Order from largest to smallest

Convert all numbers to decimal

\(11/4 = 2.75\) ; \(60\% = 0.60\) and \(1/2 = 0.50\)

So, the numbers are:

2.75    0.2     0.60     0.75     0.50

From largest to least, we have:

2.75    0.75     0.60   0.50   0.2

Convert all numbers back to their original form

11/4     0.75    60%    1/2     0.2

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

Q1. d ≈ 1.94

Q2. 1.94 inches

Step-by-step explanation:

If you want to make a cone out of paper, you need to know how big to cut the circle. You can use this formula to find the diameter of the circle:

d = 2√[(3V)/(πh)]

where d is the diameter, V is the volume, and h is the height of the cone.

Let's say you have a volume of 3 cubic inches and a height of 4 inches. Then you can plug in the numbers and get:

d = 2√[(3×3)/(π×4)]

d ≈ 1.94

So you need to cut a circle with a diameter of about 1.94 inches.

But wait, there's more! You can also use this formula to find out which ice cream scoop will fit best in your cone. The #12 scoop has a diameter of 2.5 inches, and the #6 scoop has a diameter of 3 inches. Both of them are too big for your cone! You need a smaller scoop that has a diameter of less than or equal to 1.94 inches. Otherwise, you'll have a mess on your hands!

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

Step-by-step explanation:

sum of their cubes=0.334125

The ratio of three numbers is 2:3:4.

Let the numbers be 2x, 3x and 4x.

Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3

(8x^3) + (27x^3) + (64x^3) = 99x^3

99x^3 = 0.334125

x^3 = (0.334125) / 99

x^3 = 0.003375

x^3 = (0.15)^3

x = 0.15

Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6

Answer:

The correct answer is

Fact

a thing that is known or proved to be true

Hope this helps

- Quinn

There are 5,140 millimeters in 5.14 meters, so the answer is B. :) please mark thanks!

Answer: 2/5

Step-by-step explanation:

Solution,

16.87+(-98.35)

=16.87-98.35

= -81.48

Hope it helps

Good luck on your assignment

Answer:-81.48

Step-by-step explanation:

16.87 + (–98.35)

-81.48

If you stumble in other questions like there you can use a calculator or ask me. :D hope that helps

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

ANSWER

The original number is 41

EXPLANATION

Let 'x' be the number. If it's doubled it means it's multiplied by 2: 2x. Then it's increased by 5, which means we have to add 5: 2x + 5. And this equals to 87:

Solving for x:

Answer:

c(x)=(3/4)^x

(3/4)^-2= 16/9

(3/4)^-1 =4/3

(3/4)^0=1

(3/4)^1 = 3/4

(3/4)^2= 9/16

Answer:=

2π/3

Step-by-step explanation:

plato

Answer:

7 is the answer hope this helps

Answer:

s = 17

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = \(\sqrt{3}\) , then

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{17\sqrt{3} }{s}\) = \(\sqrt{3}\) ( multiply both sides by s )

s × \(\sqrt{3}\) = 17\(\sqrt{3}\) ( divide both sides by \(\sqrt{3}\) )

s = 17

Answer:

23

Step-by-step explanation:

we are given that angle NRQ is 78 degrees

we can see from the figure that the sum of the given angles is angle NRQ

so

(8x + 7) + (4x - 1) = 78

12x + 6 = 78

12x = 72

x = 6

Now, we have to find angle PRQ

replacing x with 6 in the equation of angle PRQ

PRQ = 4(6) - 1

PRQ = 23

Answer:

Your answer is correct.

Step-by-step explanation:

Considering that both Chicago and Memphis are in the same time zone, the flight took one hour and 40 minutes.

It Chicago at 9:50 AM Central Time and arrived in Memphis at 11:30 AM Central Time. Since they are in the same time zone, we don't have to do anything but subtract, then:

11:30 - 9:50

30 < 50, hence we remove one hour from Memphis and add 60 minutes, thus:

10:90 - 9:50 = 1:40

The flight took one hour and 40 minutes.

More can be learned about operations with hours at https://brainly.com/question/25169144

The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.

To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.

Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.

Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.

For more such questions on interior angles

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Answer:

k=-63

Step-by-step explanation:

multiply both sides by -9

k=7*-9

k=-63

Answer:

-63

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.  k= -63

-9 x 7 = -63

Answer:

6/13, 7/13

Step-by-step explanation:

First, we would have to add up all of the students, then divide the number of girls or boys by that number.

24 + 28 = 52

There are 52 total students in the class.

Now, let's take that number and divide it by 24 (number of boys).

52 ÷ 24 = 24/52

We can simplify this by dividing by 4.

24 ÷ 4 = 6

If we do this to the top, we need to do it to the bottom.

52 ÷ 4 = 13

Therefore, the number of boys in the classroom is 6/13.

Now for the girls, we do the same.

Divide the total amount of children by the number of girls.

28 ÷ 52 = 28/52

We can simplify this by dividing by 4 as well.

28 ÷ 4 = 7

52 ÷ 4 = 13

The number of girls in the class is 7/13.

Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

Learn more about cost in https://brainly.com/question/30045916

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Answer:

The question is not complete

The length of AD is 1 unit.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

AB = 3 units

AC = 9 units

Let AD = x

Substitute them in the rule above

(3)² = x × 9

9 = 9x

Divide both sides by 9

x=1

Hence, the length of AD is 1 unit.

To learn more on Triangles click:

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Question

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)