Make sure you tell me what goes in each of the 2 blanks.

Make Sure You Tell Me What Goes In Each Of The 2 Blanks.

Answers

Answer 1

Answer:

  Future amount = 48(1 + 0.316074)^12

0.31607412

Step-by-step explanation:

You want the exponential equation that can be used to find the number of bacteria in a colony after 12 days if it starts with 48 bacteria and triples in 4 days.

Exponential function

The exponential function can be written in the form ...

  future amount = a·b^(t/p)

where 'a' is the initial amount, 'b' is the growth factor in period p.

The problem statement tells you the initial amount is 48, and the factor by which the amount grows is a factor of 3 in 4 days. This lets you write the function as ...

  future amount = 48·3^(t/4) . . . . . where t is in days.

Rearrangement

This equation can be rearranged so the only exponent is t:

  future amount = 48·(3^(1/4))^t = 48·1.316074^t

  future amount = 48·(1 +0.316074)^t

Then the amount in 12 days is ...

  future amount = 48·(1 +0.316074)^12

The numbers that go in the boxes are 0.316074 and 12.

__

Additional comment

Working from our original equation, we would compute the number after 12 days to be ...

  future value = 48·(3)^(12/4)

Putting the growth factor in "1 +" form, this could be ...

  future value = 48·(1 +2)^3

and your box numbers would be 2 and 3. We doubt your answer checker will accept this version of the equation.

Either way, the number of bacteria after 12 days is 1296.

If you use 3^(1/4) -1 as the growth rate in the first box, you need to report it to at least 5 significant digits in order for the future value to come out right. We have shown the value with 6 significant figures.

<95141404393>


Related Questions

i need help with this, graphing

Answers

Answer:

30 baloons per hour

Step-by-step explanation:

Use some points on the graph:

(0, 0), (2, 60), (4, 120), (8, 240)

The graph is a line passing through the origin, so this is a proportional relationship.

Standard form of such relationship is

y = kx, where k- coefficient of proportionality

Using one of the coordinate pairs find the value of k

60 = 2kk = 60/2k = 30

This is indicating the number of baloons filled per hour is 30.

Without graphing, determine the range of the function f(x) = -5|x+2|-7 over
the interval [-10, 5].
A.[-47,-7]
B.[-47,-42]
C.[-7,-42]
D[-2,-7]

Answers

Answer: A

Step-by-step explanation:

1. The circle x² + y² = 45 is shown graphed along with the point (6, 3).
(a) Determine graphically the slope of the line segment connecting the origin to the point (6,3).

(b) Carefully draw in the tangent line to the circle at (6,3) using the negative reciprocal slope of the one you found in (a).

(c) What is the y-intercept of the tangent line?

Answers

Answer: Please see the analysis in the picture

The diagram shows the locations of the sun, Earth, and the moon. Which of these is possible only when the sun, Earth, and the moon are aligned as shown?

Answers

Answer:

It will experience a low tide because water is drawn away from the area between the high tides.

Explanation:

The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.  

jamie read an 80 page book in 2 hrs. how long would it take him to read a 100 page book?

Answers

Answer:

1.5 hours

Step-by-step explanation:

80 /120= 100/x

80x=12000

12000/80=150

150 minutes- 1.5 hours

Answer:

Around 2 hours and 50 minutes.

Solve

If Jamie can read an 80 page book in 2 hours, divide 100 by the time, 2 hours.

[tex]100 / 2 = 50[/tex]

Add that to the time, 2 hours.

[tex]= 2~hrs.~50~mins.[/tex]

If –3 i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –3 – i –3i 3 – i 3i

Answers

If -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)

How to determine the true statement?

The root of the polynomial function is given as:

-3 + i

The above root is a complex root.

If a polynomial has a complex root, then the conjugate of the root is also a root of the function

The conjugate of -3 + i is -3 - i

Hence, if -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)

Read more about polynomial functions at:

https://brainly.com/question/20896994

Answer:

A on edge

Step-by-step explanation:

The total weight for the
murderer, x, and his/her luggage, y, was 230lbs. The
weight of the murderer was 10lbs less than twice the
weight of the luggage.


Equations

Answers

Answer:

x=110lbs and y=120lbs

Step-by-step explanation:

[tex]Solution,\\\\x+y=230lbs\\\\[/tex]

When the weight of x is 10lbs less than y,

Then,

[tex]x=y-10lbs[/tex]

Now we have,

[tex]\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs[/tex]

Again,

As x=y-10lbs

Then,

[tex]\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs[/tex]

which expression is equivalent to 5^4 × (5^-3)^2?

Answers

Answer:

5^-2 or 1/25

Step-by-step explanation:

use index laws.

1. (A^m)^n = a^mn

5^4 x (5^-3)^2=
5^4 x 5^-6

2. A^m x A^n = A^m+n

5^4 x 5^-6

5^-2=
1/5²=
1/25

Answer:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{4}\times 5^{-6}=5^{4-6}=5^{-2}[/tex]

We can write:

[tex]5^{-2}=\frac{1}{5^{2}} =\frac{1}{25}[/tex]

how do you get the distance between 2 platforms in a zip line math question

Answers

Answer:

Could I have more info please? It would be great if there was a graph or some extra description of the problem. I can then write the answer and explanation in the comments. Thanks!

Question 15.
Which expression is equivalent to
(4x³ + 5x² + 2) + (3x² - 7x + 4)?

Answers

Here’s the answer hopefully you can understand my handwriting

Answer:

4x³ + 8x² - 7x + 6

Step-by-step explanation:

remove the brackets by distributing the sign.

4x³ + 5x² + 2 + 3x² - 7x + 4

4x³ + 8x² - 7x + 6

Gather like terms.

If you want to factorise (optional)

4x³ + 8x² - 7x + 6 =

4x²(1 + 2x) - 6x + 3 + 3 - x

4x²(1 + 2x) - 3(1 + 2x) + 9 - x

(4x² - 3) (1 + 2x) + 9 - x


1. What is the simplified form of the rational expression below?
3.22_10x-8
22-1-12

Answers

[tex]\dfrac{3x^2-10x-8}{x^2-x-12}\\\\\\=\dfrac{3x^2-12x+2x-8}{x^2 -4x +3 x -12}\\\\\\=\dfrac{3x(x-4)+2(x-4)}{x(x-4)+3(x-4)}\\\\\\=\dfrac{(x-4)(3x+2)}{(x-4)(x+3)}\\\\\\=\dfrac{3x+2}{x+3}[/tex]

Please help I need this! Pls!!

Answers

Answer:

Step-by-step explanation:

To find how many it is greater, divide the size of the largest email by the smallest email and both should in bytes. So, convert megabytes and kilo bytes to bytes.

4 kilo bytes = 4* 10³ bytes

8 megabytes = 8 * 10⁶ bytes

[tex]\sf \dfrac{8*10^6}{4*10^3}= 2 *10^{(6-3)}[/tex]

           [tex]= 2*10^{3}\\\\= 2*1000\\\\= 2000[/tex]

Hint:

[tex]\boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]

PLEASE ANSWER ASAP

The table represents the distance and height for softball travels after being hit by the batter.
use a quadratic regression model to find the height of the softball when it travels 12 feet. round to the nearest foot.

Answers

The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

What is the correlation coefficient?

Correlation coefficient is used to calculate how strong the relationship is between the two variables.

When there is a statistical relationship between two or more variables, then they are said to be in correlation.

The table represents the distance and height for softball travels after being hit by the batter.

          Distance x (ft)              Height y (ft)               0                                  5               2                                  25               4                                  37               6                                  42               8                                  34              10                                  26Mean     5                                   28.167    

The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.

The quadratic regression model for this model is given as,

[tex]y=5.29+11.78x-0.98x^2[/tex]

At the 12 feet, the value of height y is,

[tex]y=5.29+11.78(12)-0.98(12)^2\\y=5.53[/tex]

Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

Learn more about the correlation coefficient here;

https://brainly.com/question/4219149

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How many ways can you select a
volleyball team (6 players) from a group of 8 people?

Answers

Answer:

only once

Step-by-step explanation:

Ok look at it this way there's 8 people and you need 6 you take 6 you will have 2 left so there is only 1 way to to select a volleyball team of 6 out of 8 people

Suppose that 5 green balls and 10 purple balls are placed in an urn. Two balls are then drawn in succession. What is the probability that both balls drawn have the same color if the first ball is replaced before the second is drawn

Answers

Answer:

redonculus preshambles.

Step-by-step explanation:

!!!!!help please!!!!!

Answers

to G H I would be 2x2x3.

HELP PLEASE! The perimeter is 22. How much bigger is the longest side than the shortest side?
I asked this question two hours ago, and since then, I haven't recived any help. I don't mean to sound demanding and I understand that there are millions of users here, but it seems it's been a while since someone's answered this, and I can't figure it out.

Answers

Answer:

[tex]\frac{52}{7}[/tex] [tex]units[/tex]

Step-by-step explanation:

Add up all the sides.

(2a - 3) + (3a + 1) + 2a = 7a - 2

Lets set it equal to 22 since it is the perimeter

7a - 2 = 22

add 2 both sides

7a = 24

a = [tex]\frac{24}{7}[/tex]

From the image, you can tell that 2a -  3 is the shortest side and 3a + 1 is the longest side.

(3a + 1) - (2a - 3)

Substitute [tex]\frac{24}{7}[/tex] in for a.

You should be able to get [tex]\frac{52}{7}[/tex]  units.

can someone help? Please :(

Answers

The answer is 64 took the test

ABCD ~ EFGH
C
B
G
3
140°
F
4.5
2
y
50°
110°
A
D
E
2.4
H
y =

Answers

[tex]z=110[/tex][tex]A[/tex]

is your final answer. Pls makr me brainiest

The value of y is 3 units.

What are similar figures?

This characteristic is referred to as resemblance or comparable figures when two or more items or figures appear to be the same or equal based on their shapes. These figures always superimpose one another regardless of how they are magnified or diminished. When two shapes, such triangles, polygons, or quadrilaterals, have the same dimension or common ratio but a different size or length, they are referred to as comparable figures in geometry.

Given quadrilateral's are similar

ABCD ≈ EFGH

for similarity the angles of both figures are equal and ratio of length of their sides are equal,

so AB/EF = BC/FG = CD/GH = DA/HE

we have AB = 3, EF = 2

CD = 4.5 and GH = y

substitute the values

3/2 = 4.5 /y

y = (4.5 x2)/3

y = 3 units.

Hence the measure of y is 3 units.

Learn more about similar figures;

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An ice cream factory makes 220 quarts of ice cream in 10 hours. How many quarts could be made in 36 hours? What was that rate per day?
( I will mark brainliest, please answer+explain!)​

Answers

Answer:

For 36 hours, that would be 792 quarts. The unit rate is 528 quarts per day.

Step-by-step explanation:

If you divide 36 by 10, you get 3.6, and then you multiply that with 220. That gets you 792 quarts for 36 hours. To find out the rate per day, do 24 divided by 10, and then multiply that by 220.

9×100+9×10+0×1+0×1/10+3×1/100+7×1/1000

Answers

Answer: 990.037

Step-by-step explanation:

About 14,200,000 results (0.72 seconds)

990.037 +9×10+0×1+0×1/10+3×1/100+7×1/1000

Mike has $21 to spend at the mall.
He spends all of his money on
bracelets for his sisters. Bracelets
cost $3 each. How many bracelets
does he buy?

Answers

Answer:

7 Bracelets

Step-by-step explanation:

Okay, you have 21$ to spend, since bracelets cost 3$ each (not including tax), you can do 21/3 which will get you 7 bracelets. Hope this helps!

Answer:

7 bracelets

Step-by-step explanation:

21/3 = 7

Can someone help???????????

Answers

Answer:

red ---- 77 degrees

Step-by-step explanation:

The answer would be red To get 77% you would need to subtract 180-103 and you will get 77%

write an inequality to express the relationship between -2 and -5?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The inequality that express the relationship between -2 and -5 is : " greater than " or " > "

[tex]\qquad \tt \dashrightarrow \: - 2 > - 5[/tex]

Which expression is equivalent to m^2 - m - 12 ?

a) (m + 2)(m - 6)
b) (m - 3)(m + 4)
c) (m - 2)(m + 6)
d) (m + 3)(m - 4)

Answers

Answer: D-(m+3)x (m-4)
Explanation: m^2 is basically 1 and -m is -1 while the -12 stays the same. Honestly don’t know how to explain it.

It takes Don 55 minutes to finish his
math homework and 25 minutes to
finish his reading homework. How
many more minutes did Don spend
on his math homework than on his
reading homework?

Answers

Answer:
Don spent 30 more minutes on his math homework than reading homework.

Step-by-step explanation:

55 - 25 = 30

Simon wants to buy some flowers He goes into a flower shop and buys 7 daffodils and 6 daisies Simon wants to know the cost of daffodils per flower Unfortunately, Simon forgot to get a receipt, however, he can remember that daisies costs 61p per flower. He can also remember that he spent £8.49 What is the cost of daffodils per flower?​

Answers

Answer:

69p each

Step-by-step explanation:

well if each daisy is 61p you want to multiply that price by 6 to get total daisy price, which is £3.66 Then you take £8.49 from £3.66 to get the total price of the daffodils, which is £4.83. Then you divide the the price by the number of daffodils which is 69p. :))(

Explain how you could use mental math to estimate the number of soccer balls it would take to produce a total weight of 1 ton

Answers

First you would want to estimate the weight of a singular soccer ball. From there you can multiply that number until it is about 1 ton

13) Which value is equivalent to the expression 7^2 - 3^4
A) -32
B)-19
C) 16
D) 32

Answers

Answer:

-32

Step-by-step explanation:

7^2 = 49

3^4 = 81

49-81=

-32

I. GIVEN TRIANGLE POR, DETERMINE THE FOLLOWING.

please help me out with this ​

Answers

34

Step-by-step explanation:

 122

This is a lengthy question ill go through all the formulas

This is a right triangle which means u can use pythagorean theorem to find QP

formula :

[tex]a^{2} +b^{2} =c^{2}[/tex]

Note that [tex]c^{2}[/tex] is always the hypotenuse(the hyp is always opposite to ninety degrees)

so lets substitute

=> [tex]a^{2} +17^{2} =28^{2}[/tex]

=> [tex]a^{2} +289 =784[/tex]

subtract 289 both sides

[tex]= > a^{2}=495[/tex]

Now square root both

[tex]\sqrt{ a}^{2}=\sqrt{495}[/tex]

==> [tex]3\sqrt{55}[/tex] or 22.2 (answer)

But for the other three u have to use another formula any of sin, tan,cos while using For example angle Q and then use any and do inverse it will be very easy after u know all the formulas of Sin,cos, tan

SOHCAHTOA

^

Thats an acronym   for the formula

Sin= Opposite/ hyp

Cos= Adjustent/Hyp

Tan= Opposite/Adjustent

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