PLEASEEEEE HELP MEEE

Answers

Answer 1

Answer:

4.16% is the hourly growth rate

Step-by-step explanation:

What we can do here is to first set up an exponential relationship that relates the present number of bacteria, the initial number of bacteria, the growth rate of the bacteria and the number of hours.

What we want to establish here has a resemblance with the compound interest formula in finance.

Let’s see the initial number of bacteria as the amount deposited, the present number of bacteria as the amount after some months, the growth rate as the monthly percentage while the number of hours works like the number of months.

Mathematically, what we have will be;

P = I(1 + r)^h

where P is the present bacteria number, I is the initial, r is the growth rate while h is the number of hours.

Thus, we have the following values from the question;

P = 1530

I = 1,300

r = ?

h = 4

Substituting these values, we have;

1530 = 1300(1 + r)^4

divide both sides by 1,300

1.177 = (1+r)^4

Find the fourth root of both sides

(1.177)^(1/4) = 1+ r

1.0416 = 1 + r

r = 1.0416-1

r = 0.0416

This in percentage is 4.16%

Related Questions

Please solve!!! Will make Brainliest!!

Answers

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

Answer:

C. 32°

Step-by-step explanation:

If two triangles are similar, their corresponding angles must be equal.

∠D corresponds to ∠A, so

∠D = ∠A

∠A = 32°

∴ ∠D = 32°

Given 5 colors to choose from, how many ways can we color the four unit squares of a $2\times 2$ board, given that two colorings are considered the same if one is a rotation of the other? (Note that we can use the same color for more than one square.)

Answers

Answer:

165

Step-by-step explanation:

we solve this by sum over the possible symmetry groups of the colorings.

1.If the board has 90 degree rotational symmetry, then all four squares are the same color. There are 5 such boards.

2. If the board has 180 degree rotational symmetry (but not 90 degree), then it has to be a 2-color checkerboard pattern. There are ⁵c₂=10 such boards.

All the remaining boards have no rotational symmetry. We can count these boards by taking all possible colorings, subtracting the ones counted above, and dividing by four (since each of these boards corresponds to four colorings). The result is (54−2×10−5)÷4=600÷4=150.

so, total number of boards= 5+10+150= 165.

write the equation of the parabola in vertex form.

Answers

Answer:

y = (x - 2)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form

Calculate the volume of the figure.

Answers

Answer: The volume is 33 cubic centimeters.

Step-by-step explanation:

First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.

So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.

V= 3^2 * 2 /3

V= 9 * 2 /3

V= 18/3

v= 6

So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.

Volume of the a cube uses the formula s^3 where s is the side length.

V= 3^3

v= 3*3*3

v= 27

The volume of the cube is 27.

Add 6 and 27 to find the total volume.

6 +27 = 33

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Suppose you deposit $5,000 in a savings account where the interest earned is compounded continuously
at a rate of 12.5%. How many years will it take the balance in the account to triple (round your answer to
the nearest year)?
0 9 years
O 8 years

Answers

Answer:

9 years i think

Step-by-step explanation:

A survey devices eyepiece is 6 feet off the ground. The device is placed 60 feet from a tree, the eyepiece must be elevated upwards at a 33 angle to see the top of the tree. How tall is the tree?

Answers

Greetings from Brasil...

Pure application of trigonometry - tangent

see the attachment

H = X + 6

and

TG 33 = X/60

X = 60.TG 33

X ≈ 39

H = X + 6

H = 39 + 6

H = 45

the slope of the line below is -5 which of the following is the point slope form of the line (4,-8)

Answers

Answer:

y + 8 = -5(x - 4).

Step-by-step explanation:

In this case, y1 = -8, x1 = 4, and m = -5.

y - (-8) = -5(x - 4)

y + 8 = -5(x - 4).

Hope this helps!

Write an equation of the line that passes through the point (-6, -5) with slope 6.

A. y +5= -6(x+6)
B.y+6= -6(x+5)
C. y+6=6(x+5)
D.y+5= 6(x+6)

Answers

Answer:

Option (D) is the correct option.

Step-by-step explanation:

Let the equation of a line which passes through (x', y') and slope 'm' is,

y - y' = m(x - x')

If this line passes through a point (-6, -5) and slope 'm' = 6

Equation of the line will be,

y -(-5) = 6[x - (-6)]

y + 5 = 6(x + 6)

Therefore, equation the line will be y + 5 = 6(x + 6).

Option (D) will be the answer.

Please answer it now in two minutes

Answers

The correct answer is 4

Step by step is blew

Hopefully this help you

Answer:

4 miles

Step-by-step explanation:

Solution:-

- This question pertains to special right angle triangles.

- This requires the use of special angles like ( 30°, 45°, 60° ) for all three trigonometric ratios that give us exact answers in the form of radicals.

- We will make a table of all three trigonometric ratios for the 3 special angles given above as follows:

30° 45° 60°

sin 1/2 1/√2 √3 / 2

cos √3 / 2 1/√2 1/2

tan 1 /√3 1 √3

- Now take a look at the figure and determine the appropriate trigonometric ratio that could be used to determine the distance ( q ). We are given an opposite angle ( θ = 45° ) and hypotenuse of the right angle triangle ( H = 4√2 mi )

- We see that the sine ratio is the most appropriate which can be written as:

sin ( θ ) = q / H = q / 4√2

sin ( 45° ) = q / 4√2

q = 4√2 * sin ( 45° ) ... Use above table for sin ( 45° )

q = 4√2 * [ 1 / √2 ]

q = 4 miles ... Answer

A drone is monitoring the atmospheric conditions above a farm field. The drone hovers 5 meters above the crop line. Suddenly, it rises to approximately 5.9 meters (which takes 1.9 seconds) to avoid colliding with the sprinkler system. Based on this information, which equations could model the height, y, of the drone as a function of time, x?

Answers

Answer:

The correct options are;

g(x) = -0.27·x² + x + 5

h(x) = 2·㏒(x + 1) + 5

Step-by-step explanation:

To answer the question, we substitute x = 1.9 seconds into the given options as follows;

1) For f(x) = √(1.6·x) + 5