HELP
1.75^-0.5
(3/2)^2.4

Answer:

3.2 x 4.1= 13.12

Step-by-step explanation:

3.2

4.1

____

3.2

+ 12.0=. 13.12

Answer:

A and B

Step-by-step explanation:

It is an acute equilateral triangle

Answer:

Step-by-step explanation: 2 4 1 5 2 1 3 1 3 1 3 4 2 44 5 3 i dont know

Answer:

C

Step-by-step explanation:

you get 2 hours before hourly rate kicks in

Look at C    for 2 hours add'l past the initial 2 hours you are charged 14.50

                           so   2 x   + 3.50 = 14.50

                                 will show x = 5.50 / hr

Answer:

d = 1.5 m/s x t seconds

Step-by-step explanation:

Speed = distance / time

1.5 m /s = d / t seconds

d = 1.5 m/s x t seconds

Answer:

\(n = 500e^{-4.1589x}\)

Step-by-step explanation:

Using the exponential growth equation \(N(t) = N_0e^{-kt}\) where;

N₀ is the initial population of the bacteria

N(t) is the population of the bacteria during time t

If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0

\(N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500\)

If the population is expected to double every 4 hours, this means when t = 4, N₀  = 2(500) = 1000

\(N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733\)

The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours

\(N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}\)

Hence the equation that will give the expected number of bacteria, n, after x days is \(n = 500e^{-4.1589x}\)

SOLUTION

From the question

And a poster is in a shape of a rectangle. The area of a rectangle is measured as

So, the expression for the area of the poster becomes

Hence the answer is

Answer:

Step-by-step explanation:

If you follow the pythagorean therum you get a multiple of 6 then get the square root of six and that’s you answer

Answer:

a) 35,000 sq ft

Step-by-step explanation:

x = total area

the question is: 80% of what number equals 2800

.8x = 2800

x = 2800/0.8

x = 3500

Answer: X = 4

(4x-1) = (2x+7)

X = 4

To find the minimum population of Lake Norman, we need to determine the lowest value of the function that models its population, which is given by pt = 3000 sin(30t) + 6100.

To find the minimum population, we need to analyze the behavior of the function pt = 3000 sin(30t) + 6100. The function represents a sinusoidal pattern due to the presence of the sine function. The general form of a sine function is y = A sin(Bx + C) + D, where A represents the amplitude, B represents the frequency, C represents the phase shift, and D represents the vertical shift.

In this case, the amplitude is 3000, indicating the maximum deviation from the average population. The frequency is 30, representing how quickly the population oscillates over time. The vertical shift is 6100, indicating a baseline population value. By analyzing the function, we can determine that the minimum population occurs when the sine function reaches its lowest point.

The sine function has a minimum value of -1, which occurs at certain values of t. To find the minimum population, we need to solve the equation -1 = sin(30t). By solving for t, we can determine the corresponding value of the population. It's important to note that the specific time and corresponding population value will depend on the given range or constraints for t, such as the time frame of interest. By evaluating the sine function at the specific t value, we can find the minimum population of Lake Norman based on the given model.

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The force of gravity between the two cars is approximately 1.502 × 10⁻⁴ N.

Use the formula for the universal law of gravitation:

F = G × ((m₁ × m₂) / r²)

where F is the force of gravity, G is the gravitational constant (6.67430 × 10⁻¹¹ Nm²/kg²), m₁ and m₂ are the masses of the two objects, and r is the distance between the two objects.

Plugging in the values from the problem, we get:

F = (6.67430 × 10⁻¹¹ Nm²/kg²) × ((3000 kg × 3000 kg) / (2m)²)

F = 1.502 × 10⁻⁴ N

Hence, the force of gravity between the two cars is approximately 1.502 × 10⁻⁴ N.

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Answer:

For the 2 first exponents you multiply for the last 2 you add the powers

Step-by-step explanation:

-2x4=-8=4^-8

2x-1=-2 4^-2

2+6= 4^8

5-3=2 4^2

Answer 8

8+8²=72

8+64=72

72=72

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Answer:

h = 41.52 feet

Step-by-step explanation:

The volume is π•radius²•height:

π•4²•h = 2087

16πh = 2087

h = 2087/16π

h ≈ 41.52 feet

Answer:

ranalllldooo

Step-by-step explanation:

suiiiiiii

Answer: 1/16

Step-by-step explanation:

Answer:

n = 6

Step-by-step explanation:

2n - 32 = 10n - 80

2n - 10n = -80 + 32

-8n = -48

-48/-8 = 6

Answer:

x = 48

Step-by-step explanation:

Supplementary angles sum to 180°

add the 2 angles and equate to 180

x + 3x - 12 = 180 ( add 12 to both sides )

4x = 192 ( divide both sides by 4 )

x = 48

_________

\( \: \)

Soo :

x + 3x - 12 = 180

4x - 12 = 180

4x = 180 + 12

4x = 192

x = 192 ÷ 4

x = 48

In order to determine whether the given vectors form a fundamental set on the interval (-∞, ∞), we need to consider the concept of linear independence. A set of vectors is considered linearly independent if no vector in the set can be expressed as a linear combination of the others.

To determine whether the given vectors form a fundamental set, we need to check whether they are linearly independent. This can be done by forming a matrix with the given vectors as columns and then finding the determinant of the matrix. If the determinant is non-zero, then the vectors are linearly independent and form a fundamental set.

However, since the given system x9 = ax is not a differential equation, we cannot directly apply this method. Instead, we need to check whether the given vectors satisfy the conditions of linear independence. This can be done by checking whether the vectors are linearly independent using standard linear algebra techniques.

If the given vectors are linearly independent, then they will form a fundamental set on the interval (-∞, ∞). However, if they are linearly dependent, then they will not form a fundamental set, and we would need to find additional solutions to the system in order to form a fundamental set.

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Decision B, keeping the park open when the lead levels are in excess of the allowed limit, would constitute making a Type I error in this situation.

A Type I error occurs when the null hypothesis is true, but it is rejected based on the sample data. In this case, the null hypothesis would be that the lead levels in the park are within the allowed limit.

B. Keeping the park open when the lead levels are in excess of the allowed limit would constitute a Type I error. This decision would mean that the department fails to detect the high lead levels and mistakenly keeps the park open, even though it should have been closed due to the elevated lead levels. This error can have potential consequences for public health and safety.

On the other hand, decision A (closing the park when the lead levels are within the allowed limit) would be a correct decision since it aligns with the null hypothesis and does not result in a Type I error. Decision C (closing the park when the lead levels are in excess of the allowed limit) is the correct action to take when the lead levels are actually high, so it does not constitute a Type I error.

Decision D (keeping the park open when the lead levels are within the allowed limit) is also a correct decision as it aligns with the null hypothesis and does not lead to a Type I error.

Decision E (closing the park because of increased noise level in the neighborhood) is unrelated to the lead levels and does not pertain to the hypothesis being tested, so it is not relevant to Type I error in this situation.

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Answer:

Hey There!

Let's solve...

\( {p}^{2} - {q}^{2} = ( p - q)(p + q) \\ \\ = 2(p + q) \\ \\ = \frac{7}{p + q} \\ \\ = \frac{7}{2} \)

The value of p+q is 7/2

Given the difference of two square

p^2 - q^2 = 7

Using the formula for finding the p+q

(p+q)(p-q) = 7

Given that p-q = 2

Substitute into the formula

2(p+q) = 7

p+q = 7/2

Hence the value of p+q is 7/2

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Answer:

6: H

3: A

Step-by-step explanation:

6: We only want a pound of fertilizer, if we have 7.8 pounds then we would have to divide by the cost in order to get only the cost of one. 67.86 ÷ 7.8 = 8.70

3: 3/4 is less than one hour. We only want one hour. We divide the 18 miles by 3, which is 6 but since it's a little less than an hour, it must be lower. The only option less than 6 is 4.5

Answer:

t=11/6

u=1/9

Step-by-step explanation:

The 100% of tickets are 320 tickets (this is Haley's goal), she made 112 tickets. To determine what percentage of 320 does 112 represent you can use cross multiplication:

320 ____ 100%

112 _____ x%

Both relations are at the same ratio so that

112 tickets represent 35% of 320, which means that she made 35% of the admission tickets so far.

Step-by-step explanation:

, mark down the median, Q2, which in this case is the 10th value: 75. Q1 is the central point between the smallest score and the median. In this case, Q1 falls between the first and fifth score: 68. (Note that the median can also be included when calculating Q1 or

Answer: It C. 5

Step-by-step explanation: each sun is two and the half sun is 1 so 2+2+1 is 5

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Answer:

its c 5

Step-by-step explanation:

When a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid.

To understand why this is the case, it is helpful to visualize a rectangular pyramid. A rectangular pyramid is a three-dimensional figure with a rectangular base and four triangular faces that meet at a single point at the top, known as the vertex.

If a plane is passed through the pyramid perpendicular to the base but not through the vertex, it will intersect each of the four triangular faces of the pyramid at a different angle, resulting in a cross section that has four sides.

Since the base of the rectangular pyramid is a rectangle, the two opposite sides of the trapezoid cross section will be parallel, and the other two sides will be non-parallel. The shape and size of the trapezoid cross section will depend on the orientation of the plane with respect to the rectangular pyramid.

In summary, when a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid with two parallel sides and two non-parallel sides.

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