The** population** of the bacteria after **8 hours **is **1639 bacteria**.

An **exponential function** is given by:

**y = abˣ**

where** y, x** are **variables, a** is the **initial value **of y and **b** is the multiplier.

Let **y **represent the **population **of bacteria after** x hours**.

Given that he starts his experiment with 500 bacteria**, hence**

**a = 500**

The bacteria grow at a rate of 16% per hour, hence:

**b** = 100% + 16% = **1.16**

The exponential equation becomes:

**y = 500(1.16)ˣ**

After 8 hours:

**y** = 500(1.16)⁸ = **1639**

The** population** of the bacteria after **8 hours **is **1639 bacteria**.

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What is the perimeter of the trapezoid?

10m

8m

10m

18m

**Answer:**

46 m

**Step-by-step explanation:**

The perimeter of any figure is the sum of the lengths of its sides.

8m +10m +10m +18m = 46 m

**The perimeter of the figure is 46 meters**.

PLEASE write an equation in point-slope form for the line that passes through the point with the given slope. (-2,11) m=4/3

**Answer:**

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

**Step-by-step explanation:**

Point-slope equation is: [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

A car is traveling at a speed of 70 miles per hour. What is the car's speed in miles per hour? How many miles will the car travel in 5 hours?

350 miles is the answer explanation- if your going 70 mph you make 70 miles in 1 hour so to get the miles for 5 hours you would multiply 70x5=350

Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?

**Answer:**

y=150(x/2)

**Step-by-step explanation:**

y = 150(x/2)

y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.

x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.

With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).

A card is fresh from an ordinary deck. Find the probability that it did a diamond given that it is a jack

**Answer:**

1/52

**Step-by-step explanation:**

A deck has 52 cards and the probability of picking a specific one is 1/52, or 1.92%

If you are looking for the probability of a diamond, it is 1/4, or 25%

can someone give me the answers please?

**Answer:**

6. slope= -4/5 Y-intercept is 3

7.

a.y=-2x

b.y=1x+1

c.5/2x-1

d.y=4x+3

e.y=-3/2x-5

**Step-by-step explanation:**

A board is 81.28 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters

32 inches. Divide 81.28 by 2.54.

Cheyenne is on her school swim team.

She has won 6 of her 15 events so far

this year. Which equation can be used

to determine how many events she will

need to win in a row to have an overall

win rate of 75%?

The **equation **that can be used to **determine **how many **events Cheyenne **will need to **win** in a **row **to have an **overall **win **rate **of **75% i**s **x+6=(3/4)×15.**

An **equation **is formed when two equal **expressions** are **equated **together with the help of an **equal sign '='.**

Given that **there **is a **total **of **15 events. **And in order to win **75% **of the event, **Cheyenne **need to **win,**

The **number **of **matches Cheyenne** needs to **win **= 75% of 15

= 11.25 ≈ 12 events

Since **Cheyenne **has already **won 6 events **out of** 15,** she needs to win** 6 more events. **

Hence, the **equation **that can be used to **determine **how many **events Cheyenne **will need to **win** in a **row **to have an **overall **win **rate **of **75% i**s **x+6=(3/4)×15.**

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An elliptical mirror measures 20 inches wide and 24 inches high. The ellipse is centered at (0, 60) on a coordinate plane, where units are in inches. Which equation represents the mirror?

The height and width of the **outline **(**perimeter**) of the mirror, as well as the

center in relation to the **plane **of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

**Reasons**:

Width of the elliptical mirror =** 20 inches**

Height of the elliptical mirror = **24 inches**

Center of the ellipse =** (0, 60)**

The equation of an ellipse is; [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = **Coordinates of **the **center**;

a = **Semi major axis**

b = Semi **minor **axis

In the mirror, we have;

(h, k) = **(0, 60)**

a = 24 ÷ 2 =** 12**

b = 20 ÷ 2 =** 10**

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Learn more about **the equation of an ellipse **here:

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Y=3x-1 i need help now right now.

This is not a question lol, positive slope

Y intercept is -1

Slope is 3

Y intercept is -1

Slope is 3

I will give brainliest to whoever gets the right answer

**Answer:**

[tex]18[/tex]

**Step-by-step explanation:**

Step 1: Input the values and solve

[tex]b - 7a[/tex]

[tex](4) - 7(-2)[/tex]

[tex]4 - (-14)[/tex]

[tex]4 + 14[/tex]

[tex]18[/tex]

**Answer:** [tex]18[/tex]

Find the slope of the line that passes through (6, 8) and (2, 17).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer:

-9/4

Step-by-step explanation:

Slope is equal to the change in y, over the change in x, or rise over run.

x, is the run

y, is the rise

You can substitute the coordinate numbers on the equation to find the slope. which is y2-y1/x2-x1

m= 17-(8)

——

2-(6)

Your answer will be -9/4 (it doesn’t matter where the negative goes, and there’s a negative because 2-6= -4)

Hope this helps.

The area of a circular cake plate is 1520 cm?. Find the diameter of the plate to the nearest cm

**Answer:**

Hola

tengo una pregunta

de que país

eres? ._.

A parallelogram is transformed according to the rule (x,y) - (x,y). Which is another way to state the transformation?

A. Ro.90

B. RO, 180

C. R0,270

D. RO,360°

I think it’s c because R0,270 makes sense

32. The length of each side of a square wooden box, in inches, is represented by the expression

8m'. The volume of the box, in cubic inches, is (8m").

Which simplified expression represents the volume of the box?

C. 512m

D. 512m

A. 8m

B. 24m

**the length of the box is represented by (8m2)
**

**does that mean 8m^2?
**

**in English that would be 8 times m^2 or 8 * m * m.
**

**if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.**

**if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.
**

**
**

**working that out algebraically, it would look like this:
**

**(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248**

The simplified **expression **that represents the volume of the box is D. 512m.

Volume, which is measured in **cubic units**, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. **Volume **is another word for capacity.

The volume of a cube or a square box can be **calculated **by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the **volume **of the square wooden box in the **question **is:

Volume = (8m')³

= 8m' * 8m' * 8m'

= 64m' * 8m'

= 512m"³

So the **simplified expression **that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".

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Arthur is saving money to buy a used car in 8 months. The car costs $2,180. Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car. What is the minimum initial deposit Arthur must make? Round to the nearest whole dollar.

The** minimum initial deposit** Arthur must make is **$ 4.24**.

Since Arthur is saving money to buy a used car in **8 months**, and the car **costs $ 2,180**, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following **calculation **should be performed:

X x 1.25 x 1.56 x 1.95 x 2.44 x 3.05 x 3.81 x 4.76 = 2180 514.10X = 2180 X = 2180 / 514.10 X = 4.24

Therefore, the** minimum initial deposit** Arthur must make is **$ 4.24**.

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2/3+7/15

Help pls

no scam

[tex] \boxed{ \huge \bf \: Solution:—}[/tex]

[tex] \sf \longmapsto \dfrac{2}{3} \ + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10}{15} + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10 + 7}{15} [/tex]

[tex]\sf \longmapsto \dfrac{17}{15} [/tex]

Decimal—1.13333[tex]\boxed{\huge\bf{Answer:—}}[/tex]

[tex]\bf \dfrac{17}{15} [/tex]

OR

[tex]\bf{1.13}[/tex]

**Answer:**

**Step-by-step explanation:**

Gonna be sending in quite a few of these lol thanks

**Answer:**

A

**Step-by-step explanation:**

Simply multiply each rows of the firstly stated matrix by the columns of the second and then add each with respect to their location.

Evaluate: 3cos 80° cosec 10° + 2 sin 59° sec 31°

correct answer will be marked as Brainliest.

Given that

3 cos 80° cosec 10° + 2 sin 59° sec 31°

⇛3 cos(90°-10°) cosec 10°+2 sin (90°-31°) sec 31°

We know that

sin (90° - A) = cos A

cos (90°-A) = sin A

⇛3 sin 10° cosec 10° + 2 cos 31° sec 31°

⇛3 sin 10° (1/sin 10°) + 2 cos 31° (1/cos 31°)

⇛3 (sin 10°/sin 10°) + 2 (cos 31°/cos 31°)

⇛3 (1) + 2(1)

⇛3+2

⇛5

Answer: Therefore, 3cos 80°cosec 10°+2cos 59°sec 31° = 5.

**also**** read**** similar**** questions****:** (sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^

https://brainly.com/question/87846?referrer

**Answer:**

5

**Step-by-step explanation:**

you can rewrite this as

3cos(90*-10*) x 1/sin(10*) + 2sin(90*-31*) x 1/cos(31*)

=3sin(10*) x 1/sin(10*) + 2cos31* x 1/cos(31*)

reduce with sin(10*) to get

3+2cos(31*) x 1/cos(31*)

cross out the cos 31* on both sides to leave you with

3+2

5

rico wants to buy a battery operated toy car which caused 580 7.50 he has already save one 50.00 points his ninong give him 200 point zero zero if he saved 12.50 a day from his allowance how long will it take him to save the rest of money to buy the toy car

**Answer:**

19 days

**Step-by-step explanation:**

1 - Make an equation with the variables provided.

150 + 200 + 12.50x = 587.50

2 - Simplify both sides.

350 + 12.50x = 587.50

3 - Subtract 350 from both sides.

12.50x = 237.50

4 - Divide by 12.50 to find your x variable.

x = **19 days**

Brainliest would be appreaciated! :-)

PLZ HELP ME WITH MY MATH HOMEWORK!!!!!! SHOW WORK

**Answer:**

**Step-by-step explanation:**

-(4q+8) + 6q = 12q - 5/6(18q + 6)

Open brackets:

<=> - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6

<=> - 4q - 8 + 6q = 12q - 15q - 5

Put q in one side and non q in one side:

<=> - 4q + 6q - 12q + 15q = 8 - 5

<=> 5q = 3

<=> q = 3/5

1 divided by 11/2 as a fraction

**Answer:**

1.375 decimal to fraction.

2/7 Fraction to Decimal

**Step-by-step explanation:**

Enter the number that belongs in the green box

**Answer:**

8

**Step-by-step explanation:**

The diagonals of a parallelogram divide each other into two equal parts.

help asap!!!! please!!

**Answer:**

13 blue and 20 yellow

urwelcome

write one equivalent ratio of the given radio

1. 3/9

2.6/7

3.11/12

4.2/8

5.3/6

1/3

12/14

22/24

1/4

1/2

hope it helps

12/14

22/24

1/4

1/2

hope it helps

please help meeeeeeee due in 5 minutessssssssssssss

**Answer:**

I think it would be 6. But im not 100% sure

**Step-by-step explanation:**

**Answer:**

40

**Step-by-step explanation:**

Mean x¯¯¯ 12.875

Median x˜ 11.5

Mode 15

Range 34

Minimum 6

Maximum 40

Count n 16

Sum 206

Quartiles Quartiles:

Q1 --> 8.5

Q2 --> 11.5

Q3 --> 14.5

Interquartile

Range IQR 6

Outliers 40

Multiply

(5x+y)(6x-7y)

**Answer:**

30x2−29xy−7y2

**Step-by-step explanation:**

=(5x+y)(6x+−7y)

=(5x)(6x)+(5x)(−7y)+(y)(6x)+(y)(−7y)

=30x2−35xy+6xy−7y2

=30x2−29xy−7y2

Solve. 4 + x 7 = 2

pls helpppp

Answer: x=14

Step-by-step explanation:

4+x/7=2

-4 -4

X/7=-2

*7 *7

X=14

**Answer:**

-14

**Step-by-step explanation:**

In 7 hours, Deandre reads 42 chapters of a book.

What is his rate in chapters per hour?

**Answer:**

6 chapters per hour

**Step-by-step explanation:**

[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]

Hope this helps

Find the value of the variable.

**Answer:**

**Step-by-step explanation:**

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180 because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT' (They are both radii). x/2 + x/2+ 115 = 180 I'll talk about x/2 down below this.

x + 115 = 180 All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

A crane does 9,500 J of work to lift a crate straight up using a force of 125 N. How high does the crane lift the crate? 0. 013 m 76 m 9,400 m 1,200,000 m.
Additional rows and columns are inserted into a table using thetab.o Table Tools Designo Insert Tableo Table Tools Layouto Table Tools Insert
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how were Knights and samurai alike?
Presented below are selected transactions for Werley Company for 2021. Jan. 1 Received $9,000 scrap value on retirement of machinery that was purchased on January 1, 2011. The machine cost $90,000 on that date, and had a useful life of 10 years with no salvage value. April 30 Sold equipment for $34,000 that was purchased on January 1, 2018. The equipment cost $90,000, and had a useful life of 5 years with no salvage value. Dec. 31 Discarded a business truck that was purchased on April 1, 2017. The truck cost $27,000 and was depreciated on a 5-year useful life with a salvage value of $2,000. Journalize all entries required as a result of the above transactions. Werley Company uses the straight-line method of depreciation and has recorded depreciation through December 31, 2020. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. Record journal entries in the order presented in the problem. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) Date Account Titles and Explanation Debit Credit choose a transaction date Jan. 1 enter an account title to record depreciation expense enter a debit amount enter a credit amount enter an account title to record depreciation expense enter a debit amount enter a credit amount enter an account title to record depreciation expense enter a debit amount enter a credit amount enter an account title to record depreciation expense enter a debit amount enter a credit amount choose a transaction date April 30 enter an account title to record depreciation expense enter a debit amount enter a credit amount enter an account title to record depreciation expense enter a debit amount enter a credit amount (To record depreciation expense) choose a transaction date April 30 enter an account title to record sale of equipment Cash enter a debit amount 34000 enter a credit amount enter an account title to record sale of equipment Accumulated Depreciation-Equipment enter a debit amount
All French's are SpanishAll Brazilian are SpanishTherefore All Brazilian are Spanish
Find the Value for X,Y and z using Gauss-Jordan Inversion method 2X+3Y=4 X+2Y=2
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The melody of a song is notated on a:keystaff.space.line.
1 generation of peas contains 20 individuals. 10 have the genotype YY and 10 have the genotype yy. In the following generation, 5 are YY, 10 are Yy and 5 are yy. Did this population deles evolve? a. Yes, the genotype frequencies changed from 1 generation to the next b. Yes, the allele frequencies changed from 1 generation to the next C. No, the genotype frequencies did not change from 1 generation to the next d. No, the allele frequencies did not change from 1 generation to the next
my grandparents ____________ for a walk in the park
graph A represents the function f(x)=^3 graph B and C are transformations of graph A
Which of the following is a resource that provides information on current health concerns?
If the probability that the Islanders will beat the Rangers in a game is 1/3, what is theprobability that the Islanders will win exactly three out of three games in a seriesagainst the Rangers? Round your answer to the nearest thousandth.
Read the passage.excerpt from Woman in the Nineteenth Century by Margaret Fuller OssoliWhich details from the text best highlight the contradiction between mens perception of women as physically and emotionally weak and womens reality?Select the two correct answers. "By ascertaining the true destiny of Woman; giving her legitimate hopes, and a standard within herself; marriage and all other relations would by degrees be harmonized with these rights.""Not only does the Native American woman carry the burdens of the camp, but the favorites of Louis XIV accompany him in his journeys, and the washerwoman stands at her tub, and carries home her work at all seasons, and in all states of health.""We need not try to measure how often this happens. For who can review the experience of just the last week without recalling words which imply, whether in jest or earnest, these views, or views like these.""As to the possibility of her filling with grace and dignity any government or leadership position, we should think those who had seen the great actresses, and heard the Quaker preachers of modern times, would not doubt that Woman can express publicly the fullness of thought and creation, without losing any of the peculiar beauty of her sex."
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GIVING BRAINLY Which characteristic do animals with an endoskeleton have that animals withan exoskeleton lack?A. A skeleton outside their bodyB. A skeleton inside their bodyC. The ability to get heat from the environmentD. The ability to produce most of the heat they need