plzz help quick

A lab sample starts with 50 bacteria. The growth factor, c, is found to be 0.35. Use Nt=N0ect to find how long it will take for the bacteria population to reach 15,000. Round your answer to the nearest tenth.


t = _______

Answer

x=5 y=2

Step-by-step explanation:

Answer:

hmmm cant tell if this is a serious question Lol considering you seem pretty smart but if so answer is 23

Step-by-step explanation:

Hi there, here's your answer.

Given:

A circle with center O.

A, B, C and D lie on the circumference of the circle.

AC is the diameter of the circle.

∠DCA = 33° and ∠BCA = 31°

To find:

∠DAB

Solution:

Since AC is a diameter, ∠CDA and ∠CBA will be equal to 90° (Angles in a semi-circle)

Now, ∠BCD = ∠DCA + ∠BCA

∴ ∠BCD = 33° + 31° = 64°

Now, ∠BCD + ∠CDA + ∠DAB + ∠ ABC = 360° (Angle-sum property of a quadrilateral)

Substituting the values of the angles:

64° + 90° + 90° + ∠DAB = 360°

Or

244° + ∠DAB = 360°

Therefore ∠DAB = 360° - 244° = 116°

Hope it helps!

(a) The probability of the event R_3 W_2, where the red die rolls 3 and the white die rolls 2, is 1/36. (b) The probability that the sum of the two rolls is 5 is 4/36, which can be simplified to 1/9.

(a) To find the probability of R_3 W_2, we need to determine the probability of the red die rolling 3 (P(R_3)) and the white die rolling 2 (P(W_2)). Since both dice are fair six-sided dice, the probability of rolling a specific number on each die is 1/6. Therefore, P(R_3) = 1/6 and P(W_2) = 1/6. Since the dice rolls are independent events, we can multiply the probabilities together to find the probability of both events occurring: P(R_3 W_2) = P(R_3) × P(W_2) = (1/6) × (1/6) = 1/36.

(b) To find the probability that the sum of the two rolls is 5, we need to determine all the possible combinations of rolls that result in a sum of 5. These combinations are (1, 4), (2, 3), (3, 2), and (4, 1), where the first number represents the roll of the red die and the second number represents the roll of the white die. Each combination has a probability of 1/36, as each die has six equally likely outcomes. Therefore, the total probability is P((1, 4) or (2, 3) or (3, 2) or (4, 1)) = 4 × (1/36) = 4/36, which can be simplified to 1/9.

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Answer:

First option: 37°, 11°,  132°

Step-by-step explanation:

The sum of the three interior angles of a triangle must add up to 180°

Only the first option 37°, 11° and 132° add up to 180°
37 + 11 + 132 = 48 + 132 = 180°

You don't need to add up all the other sets of angles completely. Just look at the units place

Option 2, units sum = 4 + 6 + 1 =11; does not end in a 0, ends in 1

Option 3: units sum = 1 + 0 + 2; does not end in a 0, ends in 3

Option 4: units sum = 0 + 1 + 5 ends in a 6

Considering that the function is even, the numeric values are given as follows:

In this problem, we have that the function is even, hence:

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Answer:

1,1,3,3

Step-by-step explanation:

on edge

Answer:

Use the pic attached to this ^^^^

Step-by-step explanation:

to get a we use cos and for b we use sin

so

cos(45°) =a/5√2....... when u criss cross it

a = cos(45°) × 5√2

a = √2/2 × 5√2

a= 5

sin(45) = b/5√2

b= sin(45) × 5√2

b = 5

In other way if u find the 1st side you r indirectly find the 2nd one which they are equal .

Answer:

it so easy that correct

Step-by-step explanation:

$500.00×$8.5

if youre soliving to get x

      2

-4x         - 7x

-16x-7=-23

Answer:

Below

Step-by-step explanation:

Well I can't really see the equation but I can tell you how to do it.

Parallel slopes are the same slope as the equation.

For example, y = mx + b

The slope of a line parallel to it is m

Perpendicular slopes are the opposite reciprocal as the equation.

For example, y = mx + b

The slope of a line perpendicular to it is\(-\frac{1}{m}\)

Answer:

parallel: -8

perp: +1/8

Step-by-step explanation:

parallel lines have the same slopes

perp lines have opposite reciprocal slopes

Answer:

A

Step-by-step explanation:

Well, this isn't too hard.

Since the left is the negative side (R) and the right is the positive side (S), a positive and a negative with the same number will equal zero if only one of them are negative.

You ALWAYS subtract when there's two different signs.

Answer:

intercepts are (-6/11 , 0) and ( 6,0 )

There are six possible ways a person can choose two balls at random from an urn containing five balls numbered 1, 2, 2, 6, and 6.

To understand how to calculate the number of combinations, let's break it down into two parts: selecting the first ball, and then selecting the second ball. Since there are five balls in the urn, the first ball can be chosen in five possible ways. Then, when selecting the second ball, the number of possible selections is reduced to four because one ball has already been selected. This can be expressed mathematically as: n(A)=5x4.

To calculate the total number of combinations, we then multiply the two numbers: 5x4=20. This result is then divided by two because the order of selection does not matter. As a result, 20/2=10, which means that there are ten possible combinations when choosing two balls at random from the urn. In conclusion, if an urn contains five balls numbered 1, 2, 2, 6, and 6, there are six possible ways a person can choose two balls at random. This can be expressed mathematically as n(A)=6 or n(A)=5x4/2.

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The absolute value of MRS is less than 1, it indicates that x and y are perfect substitutes.

If a consumer has a utility function of U = x + 2y,

The statement that is true is:

The MRS

y → x = -1/2;

x and y are perfect substitutes.

The marginal rate of substitution (MRS) is defined as the rate at which a consumer can substitute one good for another while holding the same level of utility.

In other words, it shows the slope of an indifference curve at a specific point.

The formula for MRS is as follows:

MRSy → x = MUx / MUy

Here, MUx and MUy represent the marginal utilities of x and y, respectively.

In this problem, the given utility function is: U = x + 2y

Therefore, the marginal utility of x and y can be derived as follows:

MUx = 1MUy = 2

The MRSy → x can be calculated as follows:

MRSy → x = MUx / MUy= 1 / 2= -1/2

Since the MRS is negative, it shows that x and y are inversely related.

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If a consumer has a utility function of U = x + 2y, the MRSy→x = -2; x and y are perfect substitutes.

The marginal rate of substitution (MRS) measures the rate at which a consumer is willing to trade one good for another while keeping the level of utility constant. In this utility function, U = x + 2y, the MRSy→x is the ratio of the marginal utility of y to the marginal utility of x.

Since the coefficient of y in the utility function is 2, the MRSy→x is -2, indicating that the consumer is willing to trade two units of y for one unit of x while maintaining the same level of utility. This indicates that x and y are perfect substitutes, as the consumer is willing to substitute them at a constant rate.

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Answer:

x=12

Step-by-step explanation:

4x-10=3x+2

Subtract 3x on both sides:

x-10=2

Add 10 on both sides:

x=12

Hope this helps!

Recall that 60 minutes makes 1 hour

Hence 4 hours will be

= 60 * 4

= 240 minutes

If in 15 minutes, she can pick 1/3 pounds of berries

then 240 minutes

= 240/15 * 1/3

= 16/3 pounds

= 5 1/3 pounds

There are 19/9 ounces in each sprinkle of sundae

From the question, we have the following parameters that can be used in our solution:

Number of sundaes = 4

Ounces of sprinkles = \(8\frac49\) ounces

From the above parameter, we can calculate the amount of sprinkles using the constant of proportionality formula

This is represented as

Ounces per sprinkle = Ounces of sprinkles/Number of sprinkles

Substitute the known values in the above equation

So, we have the following equation

Ounces per sprinkle = \(8\frac49\)/4

Evaluate the quotient

Ounces per sprinkle = 19/9

Hence, the ounces per sprinkle is 19/9 ounces

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Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

7.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month                Charlie          Dasha

1                          home             home

2                          home             home

3                          home             home

4                          home             home

5                          home             home

6                         trip                home

7                          home             home

8                          home             home

9                          home             trip

10                         home             home

11                         home             home

12                         trip               home

13                         home             home

14                         home             home

15                         home             home

16                         home             home

17                         home             home

18                         trip                 trip

Answer: 18 months

8.

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

Answer:

= − 8

Step-by-step explanation:

Combine like terms  

Divide both sides of the equation by the same term

Simplify

e) the cup capacity should be approximately 233.89 milliliters to ensure that 99% of the cups will not overflow.

To solve these problems, we can use the properties of the normal distribution and the z-score.

Given:

Mean (μ) = 200 milliliters

Standard deviation (σ) = 15 milliliters

(a) What fraction of the cups will contain more than 224 milliliters?

We need to find the probability that a cup contains more than 224 milliliters. Let's calculate the z-score first:

z = (x - μ) / σ = (224 - 200) / 15 = 24 / 15 = 1.6

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 1.6. The probability of getting a value greater than 224 milliliters is approximately 0.0548 or 5.48%.

(b) What is the probability that a cup contains between 191 and 200 milliliters?

We need to find the probability that a cup contains a value between 191 and 200 milliliters. Let's calculate the z-scores for both values:

z1 = (191 - 200) / 15 = -9 / 15 = -0.6

z2 = (200 - 200) / 15 = 0

Again, using a standard normal distribution table or a calculator, we can find the probabilities associated with these z-scores. The probability of getting a value between 191 and 200 milliliters is the difference between the two probabilities: P(z < 0) - P(z < -0.6). This probability is approximately 0.3085 or 30.85%.

(c) How many cups will probably overflow if 230-milliliter cups are used for the next 1000 drinks?

To find the number of cups that will likely overflow, we need to find the probability that a cup contains more than 230 milliliters. Let's calculate the z-score:

z = (x - μ) / σ = (230 - 200) / 15 = 30 / 15 = 2

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 2. This probability is approximately 0.0228 or 2.28%. To find the number of cups that will likely overflow out of 1000 drinks, we multiply this probability by 1000:

Number of overflowing cups = 0.0228 * 1000 = 22.8

So, approximately 23 cups will probably overflow if 230-milliliter cups are used for the next 1000 drinks.

(d) Below what value do we get the smallest 25% of the drinks?

We need to find the value below which 25% of the drinks fall. This corresponds to the z-score that has a cumulative probability of 0.25. Using a standard normal distribution table or a calculator, we find that the z-score associated with a cumulative probability of 0.25 is approximately -0.6745. Now, we can calculate the corresponding value:

x = μ + z * σ = 200 + (-0.6745) * 15 = 189.87

So, the smallest 25% of the drinks will have a value below approximately 189.87 milliliters.

(e) What should be the capacity of the cups such that 99% of the cups will not overflow?

To find the cup capacity such that 99% of the cups will not overflow, we need to determine the corresponding z-score that has a cumulative probability of 0.99. Using a standard normal distribution table or a calculator, we find that the z-score associated with a cumulative probability of

0.99 is approximately 2.3263. Now, we can calculate the desired cup capacity:

x = μ + z * σ = 200 + 2.3263 * 15 = 233.89

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Answer:

quadrilateral

Step-by-step explanation:

the derivative of f(x) = x² using the limit definition of the derivative is f’(x) = 2x.

Given function is f(x) = x².

We are to find the derivative of the function using the limit definition of the derivative. We can find the derivative of a function using the four-step process. Here are the four steps:

Step 1: Use the definition of the derivative f’(x) = lim h → 0 (f(x + h) − f(x))/h.

Step 2: Substitute the given values of x into the function f(x) = x².

Step 3: Substitute x + h for x in the function f(x) = x² to get f(x + h) = (x + h)².

Step 4: Substitute the values of f(x) and f(x + h) into the definition of the derivative, simplify the resulting expression, and find the limit as h approaches 0.

Let's find the derivative of the function using the limit definition of the derivative;

Step 1: Use the definition of the derivative f’(x) = lim h → 0 (f(x + h) − f(x))/h.f’(x) = lim h → 0 ((x + h)² − x²)/h

Step 2: Substitute the given values of x into the function f(x) = x².f’(x) = lim h → 0 ((x + h)² − x²)/h

Step 3: Substitute x + h for x in the function f(x) = x² to get f(x + h) = (x + h)².f’(x) = lim h → 0 ((x + h)² − x²)/h = lim h → 0 [x² + 2xh + h² − x²]/h

Step 4: Substitute the values of f(x) and f(x + h) into the definition of the derivative, simplify the resulting expression, and find the limit as h approaches 0.f’(x) = lim h → 0 [2x + h] = 2x

Therefore, the derivative of f(x) = x² using the limit definition of the derivative is f’(x) = 2x.

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The derivative of the given function f(x) = -2x + 5 using the limit definition of the derivative is -2.

Given function: f(x) = -2x + 5We have to find the derivative of the function using the limit definition of the derivative.

For that, we can use the 4 step process as follows:

Step 1: Find the slope between two points on the curve.

Let one point be (x, f(x)) and another point be (x + h, f(x + h)).

Then, Slope = (change in y) / (change in x)= [f(x + h) - f(x)] / [x + h - x]= [f(x + h) - f(x)] / h

Step 2: Take the limit of the slope as h approaches 0.

This gives the slope of the tangent to the curve at the point (x, f(x)).i.e., Lim (h→0) [f(x + h) - f(x)] / h

Step 3: Simplify the expression by substituting the given function in it.

Lim (h→0) [-2(x + h) + 5 - (-2x + 5)] / h

Lim (h→0) [-2x - 2h + 5 + 2x - 5] / h

Lim (h→0) [-2h] / h

Step 4: Simplify further and write the derivative of f(x).

Lim (h→0) -2Cancel out h from the numerator and denominator.-2 is the derivative of f(x).

Hence, the derivative of the given function f(x) = -2x + 5 using the limit definition of the derivative is -2.

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The particle crosses the origin at a time of 2.346 seconds.

To find the time at which the particle crosses the origin, we need to determine the value of t when x(t) is equal to zero, since the particle will be at the origin when its position is zero.

Using the given position function x(t) = 5.42 m - 2.31 m/s t, we can set x(t) equal to zero and solve for t:

x(t) = 0

5.42 m - 2.31 m/s t = 0

Subtracting 5.42 m from both sides, we get:

-2.31 m/s t = -5.42 m

Dividing both sides by -2.31 m/s, we get:

t = 5.42 m / 2.31 m/s

t = 2.346 s

Therefore, the particle crosses the origin at a time of 2.346 seconds.

In summary, we find the time at which the particle crosses the origin by setting the position function equal to zero and solving for the corresponding value of t. This method works for any one-dimensional motion along a straight line.

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he estimate of the difference between the two population proportions is 0.15, with a 95% confidence interval of (0.025, 0.275).

To find the estimate of the difference between the two population proportions, we can use the formula for the confidence interval for the difference between two population proportions:

\(p1 - p2 ± zα/2 * √((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))\)

where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and zα/2 is the z-score corresponding to the desired level of confidence (α).

In this case,\(p1 = 35/70 = 0.5 and p2 = 35/100 = 0.35.\) Let's assume a 95% confidence level, which corresponds to a z-score of 1.96.

Plugging in the values, we get:

0.5 - 0.35 ± 1.96 * √((0.5 * 0.5 / 70) + (0.35 * 0.65 / 100))

= 0.15 ± 0.125

So the estimate of the difference between the two population proportions is 0.15, with a 95% confidence interval of (0.025, 0.275).

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The value of the expression for p=4 and q=-4 is 240. To factor the expression \(p^2q^2+pq-q^3-p^3,\) we can use the factoring by grouping method.

First, we can factor out a common factor of pq from the first two terms and a common factor of \(q^3\) from the last two terms:

\(p^2q^2 + pq - q^3 - p^3\)

\(= pq(pq + 1) - q^3 - p^3 + q^3\)

\(= pq(pq + 1) - p^3\)

Now, we can factor the expression \(-p^3\) by using the difference of cubes formula:

\(= pq(pq + 1) - (p)(p^2)\)

\(= pq(pq + 1 - p^2)\)

So the fully factored form of the expression is \(pq(pq + 1 - p^2).\)

To find the value of the expression for p=4 and q=-4, we can substitute these values into the factored form:

\(pq(pq + 1 - p^2)\)

\(= (4)(-4)((4)(-4) + 1 - (4)^2)\)

= (-16)(-15)

= 240

Therefore, the value of the expression for p=4 and q=-4 is 240.

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Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

Answer:

  12

Step-by-step explanation:

You want the least common multiple of 3 and 4.

3 and 4 have no common factors, so their least common multiple (LCM) is their product:

  3·4 = 12

The LCM of 3 and 4 is 12.

__

Additional comment

If the numbers have a common factor, then the LCM is their product, divided by the greatest common factor.

For example, 4 and 6 have a common factor of 2. Their LCM is 4·6/2 = 12.

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Answer:

39°

Step-by-step explanation:

\(angle \: 1 + 2 = 180(co \: interior \: angles \: \:in \: parallel \: lies \: are \: add \: up \: t \: equal \: 180) \\ \)

13x + 24 + 5x -6 = 180

18x+ 18 =180

18x +18 -18 =180-18

18x = 162

18 18

x = 9

Therefore,

m<2 = 5x- 6

= 5(9) -6

= 45-6

= 39°