We’re doing similarity and I’m really confused

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer:

c

Step-by-step explanation:

Answer:

y=3 and x= 9/2

Step-by-step explanation:

Answer:

x=7

y=-5

Step-by-step explanation:

ive tryed the elimination way

(2x-2y=-6)-

(2x+y=9)

=-3y=-15

y=-5

2x+-5=9

2x=9-(-5)

2x=14

x=7

how abt that

Answer:

3/4>2/3>1/2

Step-by-step explanation:

put into decimal form

1/2 = 0.5

2/3 = 0.66666666666

3/4 = 0.75

Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

Answer:

306 cm²

Step-by-step explanation:

Sorry if this is wrong doing mental math

Answer:

46

Step-by-step explanation:

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

To split the number 50 into a specific ratio, 9:1. This means we need to divide 50 into two parts, where one part is nine times larger than the other part.

To split 50 into the ratio 9:1, we need to divide the number 50 into two parts, let's call them "x" and "y." The ratio 9:1 tells us that one part is nine times larger than the other. So, we can express this relationship mathematically as:

x = 9y

Now, we know that the sum of the two parts, x and y, should add up to 50:

x + y = 50

Since we have an expression for "x" in terms of "y," we can substitute it into the second equation:

9y + y = 50

Now, let's combine the y terms:

10y = 50

Next, we isolate "y" by dividing both sides of the equation by 10:

y = 50 / 10

y = 5

Now that we've found the value of "y," we can use it to find "x" using the first equation:

x = 9 * 5

x = 45

So, the two parts are x = 45 and y = 5. We can verify that the ratio is indeed 9:1:

x / y = 45 / 5 = 9

And the sum of the two parts is:

45 + 5 = 50

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

In summary, to divide 50 into the ratio 9:1, we found that one part (x) is 45, and the other part (y) is 5. This satisfies the condition that one part is nine times larger than the other, and their sum is 50.

To know more about Ratio here

https://brainly.com/question/70116

#SPJ2

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

b) find the value of y when x = 2​

y = kx

k = 150

Hence,

y = 150 × 2

y = 300

Answer:

Step-by-step explanation:

A looks like the only good answer

The account is not decaying... or going down, it's going up at about 4.5% per year.    so the 5,000 is what is the initial investment,  and the  1.045 is the amount it's going up by,  where the exponent of  't'  is how many times it's going up

Answer:

should be A sorry if I'm wrong

Answer:

3. Blanks from top to bottom: 3, 9, 54, 62

5. Blanks from top to bottom: 2, 8, 4, 80, 640

Step-by-step explanation:

Use PEMDAS!

3.

6 × (36 ÷ 12)^2 + 8 = 6 × (___)^2 + 8

Solve for the left side to find the blanks:

6 × (3)^2 + 8

6 × 9 + 8

54 + 8

62

5.

320 ÷ (11 - 9^3/2) × 8 = 320 ÷ (___^3/2) × 8

Solve for the left side to find the blanks:

320 ÷ (2^3/2) × 8

320 ÷ (8/2) × 8

320 ÷ 4 × 8

80 × 8

640

Answer:

Socrates

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{930-7.94\times101+7.94}[/tex]

[tex]\mathsf{-7.94\times101 = \bf -801.94}[/tex]

[tex]\mathsf{= 930-801.94+7.94}[/tex]

[tex]\mathsf{930 - 801.94= \bf 128.06}[/tex]

[tex]\mathsf{= 128.06+7.94}[/tex]

[tex]\mathsf{= \bf 136}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 136}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

11=x

Step-by-step explanation:

Answer:

A boy can write one page in one minute

Answer:

5 minutesethhgdsyujjj

Answer:

no

Step-by-step explanation:

Answer:

Let n be the number of questions you got right. Then

30-n equals the number of questions you got wrong.

So:

A) 20n-10(30-n)=180

30n-300=180

30n=480

n=16

30-n=14

B)You got 16 questions right and 14 questions wrong.

Answer:

-4x+3x power of 2 +2

Step-by-step explanation:

Answer:

3x² - 4x + 2

Step-by-step explanation:

distribute -2 into (3x - 1) and distribute x into (3x + 2)

=> -6x + 2 + 3x² + 2x

combine like terms

=> 3x² - 4x + 2

Answer:

more than 7

Step-by-step explanation:

4+3 = 7

)sorry if i was wrong(

Answer: D

Step-by-step explanation:

You are just moving mn, so the length does not change. Its the same, just in different spots.

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

Answer:8

Step-by-step explanation:devide 32 by 4

Answer:

missing length is 8

Step-by-step explanation:

17^2 - 15^2 = 64

square root of 64 is 8

Answer:

8 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a²+b²=c²

15²+b²=17²

225+b²=289

b²=64

b=8

Therefore, the missing side is 8 inches long.

Answer:

3/10

Step-by-step explanation:

4/15+x=17/30

x=17/30-4/15

x=17/30-8/30

x=9/30

simplify

x=3/10

Answer:

ehhehrjrh4h4hehejejru4u4u

Answer:

I used math-way, solved for x and got this

x>1

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation: