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Lostsunrise [7]
2 years ago
14

A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .

Mathematics
2 answers:
Pani-rosa [81]2 years ago
8 0

After clarification we see the respective diameters are

A = 2.3 \times 10^{-a}

B = 2.3 \times 10^{-b}

We're asked about the ratio

A:B =  2.3 \times 10^{-a} :  2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

A:B=10^{6-4}:1 = 100:1

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.


Svetlanka [38]2 years ago
8 0

Answer:

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

Step-by-step explanation:

2.3/2.3= 1

10(-4)/10(-6)=10(2)

your answer is 100, cell a is 100 times greater than cell b.

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A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
Wewaii [24]

Answer:

y=120,000(1.055)^x

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

y is the value of the home

x is the number of years

a is the initial value

r is the rate of change

we have

a=\$120,000\\r=5.5\%=5.5/100=0.055

substitute

y=120,000(1+0.055)^x

y=120,000(1.055)^x

7 0
2 years ago
Brainliest for the correct awnser!!! In general, when solving a radical equation with square roots, you should first isolate the
Dominik [7]

Answer:

B

Step-by-step explanation:

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A price was increasing at a rate of 15% per month what is the annual growth rate enter your answer rounded to the nearest tenth
Leokris [45]
Hello there! I can help you! The formula for finding the annual growth rate is (1 + r)^t. In other words, you add the rate in decimal form from 1 and raise it to the t power, depending on how many times it is compounded. 15% is 0.15 in decimal form. 1 + 0.15 is 1.15. We have that number. Now, we are looking for the annual growth rate. It increases monthly, annual has to do with 1 year, and there are 12 months in 1 year. Now, let's raise 1.15 to the 12th power. 1.15^12 is 5.350250105. Don't delete it. We can subtract 1 from that number to get 4.350250105. Now, let's multiply it by 100 to get the answer in percent form. When you do, you get 435.0250105 or 435 when rounded to the nearest tenth, because there is a 0 in the tenths place. We can subtract There. The annual growth rate is about 435%.
7 0
2 years ago
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A small ferryboat is 4.00 m wide and 6.00 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.00 cm into t
Svet_ta [14]

Answer:

F_w=9408\ N

Weight of the truck=9408 N

Step-by-step explanation:

Boat is experiencing the buoyant force as it is in the water and is sinking

According to the force balance in y direction. As both is floating, two forces balance each other:

F_b-F_w=0

where:

F_b is the buoyant force

F_w is the weight=mg

F_b=F_w        Eq (1)

Buoyant force is equal to the mass of water displaced * gravitational acceleration.

F_b=m_{water\ displaced}*g\\F_b=\rho Vg\\

Taking density of water to be 1000 Kg/m^3

F_b=1000*(6*4*4*10^{-2})*9.8\\F_b=9408 N

From Eq(1):

F_w=9408\ N

Weight of the truck=9408 N

6 0
2 years ago
Amina used the quadratic formula to solve an equation. Her result shows two solutions that are complex numbers with imaginary pa
Mama L [17]

A quadratic equation has either two different real roots, one real root, or two conjugate complex roots (this is the case when the discriminant is negative, i.e. when you have no real roots).

Two conjugate complex roots have the same real part and opposite imaginary parts. So, the solutions to Amina's equation will be in this form:

a+bi,\ \ a-bi

For some a,b\in\mathbb{R},\ b\neq 0

6 0
1 year ago
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