What is the slope of the linear function that
models the data in the table?

Answer:

(a) An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

(b) The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Step-by-step explanation:

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)=aˣ

being a real positive.

When 0 <a <1, then the exponential function is a decreasing function and when a> 1, it is an increasing function.

An exponential function allows us to refer to phenomena that grow faster and faster, such as population growth.

In that case, the formula used to model the growth of a population is given by:

P(t)=P0*[tex]a^{t}[/tex]

where the function P (t) grows exponentially and represents the quantity of the population at time t; a represents the constant of growth or decrease and P0 represents the initial population at time zero.

In this case:

Replacing, you get:

P(t)=700*[tex]3^{t}[/tex]

An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]

The derivative of this function P (t) is:

n'(t)=700*ln(3)*[tex]3^{t}[/tex]

and reflects the growth rate of the bacteria population.

So, the rate of growth of the bacteria population after 1.5 hours is:

n(1.5)=700*ln(3)*[tex]3^{1.5}[/tex]

Solving, you get:

n(1.5)≅ 3,996

The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.

Answer:

44

Step-by-step explanation:It's 44 because 156,200 divided by 3.55=44.

If jim koslo earns $156,200 annually as a plant manager. The state tax rate in his state is 3.55% of taxable income. then 5545.1 is the amount is withheld yearly for state income tax

percentage, a relative value indicating hundredth parts of any quantity.

Given,

jim koslo earns $156,200 annually as a plant manager.

The state tax rate in his state is 3.55% of taxable income.

We need to find the  amount is withheld yearly for state income tax

We need to find 3.55% of 156200

First we have to convert 3.55% to decimal by dividing with 100

3.55/100=0.0355

Now multiply 0.0355 with 156200

0.0355×156200

5545.1

Hence 5545.1 is the amount is withheld yearly for state income tax.

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Answer:

1e+35

Step-by-step explanation:

Answer:

Option C: 0.28

Step-by-step explanation:

This is a binomial probability distribution problem.

Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

From the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Thus;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

From the histogram, it is found that there is a 0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.

------------------

The probabilities given by the histogram are:

[tex]P(X = 0) = 0.33[/tex]

[tex]P(X = 1) = 0.39[/tex]

[tex]P(X = 2) = 0.19[/tex]

[tex]P(X = 3) = 0.05[/tex]

[tex]P(X = 4) = 0.02[/tex]

[tex]P(X = 5) = 0.02[/tex]

The probability of at least 2 up is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.019 + 0.05 + 0.02 + 0.02 = 0.28[/tex]

0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.

A similar problem is given at https://brainly.com/question/24141790

Answer:

B. Perpendicular Lines

Step-by-step explanation:

Perpendicular Lines are lines that cross over each other and make a right angle (90°).

Answer:

For inequalities with a less than sign (<), the first number is always to the left of the second number on the horizontal number line.

Step-by-step explanation: I had it as a question.

The first number is always to the left of the second number in inequalities with a less-than sign ().

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let's assume an inequality,
y < x
Which represents that x has a greater value than y, and also on the horizontal number line, the first number is always to the left of the second number in inequalities with a less-than sign ().

Thus, The first number is always to the left of the second number in inequalities with a less-than sign ().

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The anser is 14 I guess because there are 14 marbles in total giving you 14 outcomes

Answer:

10

Step-by-step explanation:

Answer:

cool

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

vfgchgcbgjvygfcb

The question is missing parts. Here is the complete question.

Quadrilateral PQRS (shown below) is an isosceles trapezoid. If RP = 12, then SQ = ?

Answer: SQ = 12

Step-by-step explanation: A trapezoid is a quadrilateral with two opposite parallel sides, called bases. The trapezoid is an isosceles trapezoid when the non-parallel sides have the same length.

One property of isosceles trapezoid is that its diagonals are congruent, i.e., have the same length.

In the picture, segment RP is one of the trapezoid's diagonal. It is asking the measure of SQ, which is the other diagonal. So:

SQ = RP

SQ = 12

Segment SQ of isosceles trapezoid PQRS is 12 units.

Answer:

if quadrilateral PQRS is an isosceles trapezoid if RP=12 then SQ= 12

Step-by-step explanation:

Answer:

0.9987

Step-by-step explanation:

Using Z score formula

z = (x-μ)/σ, where

x is the raw score = 52 inches

μ is the population mean = 94 inches

σ is the population standard deviation = 14 inches

z = 52 - 94/14

z =-3

Probability value from Z-Table:

P(x<52) = 0.0013499

P(x>52) = 1 - P(x<52)

P(x>52) = 1 - 0.0013499

= 0.99865

Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987

Answer:

Step-by-step explanation:

99.87 for Knewton Alta

Answer:

you need yarn

Step-by-step explanation:

3fts times 12 is equal to=kuha ka calculator

Answer: 12 yd/min = 0.6 ft/seconds.

Because: 36/60 = 36  1/60 = 6  1/10 = 3/5 = 0.6

9514 1404 393

Answer:

  ASA, SSS, SAS

Step-by-step explanation:

AAA is a postulate used to prove similarity. Congruence cannot be proved without including at least one side.

  ASA, SSS, SAS postulates can be used to prove congruence

Answer:

b. {(-3, 1), (0, 4), (2, 6)}

Step-by-step explanation:

Answer:

Bro, are you trying to break into someone's house of somethin?

Step-by-step explanation:

Answer:

what grade are you in?

Step-by-step explanation:

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

Step-by-step explanation:

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Answer:

21

Step-by-step explanation:

I assume you ignore friction. The cart is held in equilibrium, so the net force on the cart is zero.

There are 3 forces acting on the cart:

• weight (magnitude w, pointing down)

• normal force (mag. n, pointing perpendicular to the ramp)

• tension in the rope (mag. t, pointing 60º from the horizontal, or equivalently 60º - 15º = 45º from the parallel direction)

Split up the forces into horizontal and vertical components. We have

• horizontal:

t cos(60º) + n cos(105º) = 0

• vertical:

n sin(105º) + (-w) = 0

(the normal force has a direction of 105º from the horizontal because it's perpendicular to the ramp, so it forms an angle of 90º with the ramp, plus the 15º inclination of the ramp itself)

We're given that w = 60 lb, so

n sin(105º) = 60 lb

n ≈ 62.1 lb

Solve for t :

t cos(60º) = -n cos(105º)

t = -n cos(105º)/cos(60º)

t ≈ 32.2 lb

14

Divide 98 by 7, you get 14.

This is how many starburst are in each packet.

Answer:

[tex]y = 3600 * 12[/tex]

Step-by-step explanation:

Given: Breakdown of Monthly Budget

Required

Determine the equation that shows minimum earnings in a year

First, we need to get the sum of the given list of budgets:

[tex]Budget = 870 + 550 + 375 + 480 + 400+235+400 + 290[/tex]

[tex]Budget = 3600[/tex]

The are 12months in a a year; So, the yearly budget (y) is:

[tex]Yearly\ Budget = Monthly\ Budget * Duration[/tex]

[tex]Yearly\ Budget = 3600* 12[/tex]

i.e.

[tex]y = 3600 * 12[/tex]

Answer:

8 inches

Solution:

First, you need to add all sides which will give you 147. Then, to find the length of GA, you need to subtract the perimeter which is 167, by 147 which will give you 20. GA = 20

Thus to find G'A', you need to cross multiply 14/35 = G'A'/20

You should end up with 280 = 35. Divide 35 by 280 and you get 8.

PLEASE MARK IT AS BRAINLIEST

Answer:

2+2=4-1+3

Step-by-step explanation:

quick mafs

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

Answer:

it is -1.5.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

hope this helps

Answer:

4 blocks.

Step-by-step explanation: