. A rocket carrying fireworks is launched from a hill above a lake. The rocket will fall into lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h(t) = −16t 2 + 64t + 80, where h is in feet and t is in seconds

Answer:

134.4

Step-by-step explanation:

134.4432966

Just find the Square Root of 18,075 (I punched it into my calculator.)

Answer:

-134.44 and 134.44.

Step-by-step explanation:

There are 2 numbers +/- √18,075

= +/- 134.44

Answer: She can visit the city on 192 ways.

Step-by-step explanation: If Sally starts from city A, and after going from 4 cities she returns to home, then that can be on 4! = 24 ways.

Answer:

Step-by-step explanation:

It's the last choice because that's the only place where the graph is above the x-axis, making f(x) > 0 or positive.

Answer:

D

Step-by-step explanation:

Answer:

400 is a rational number because it can be expressed as the quotient of two intergers 400 divided by 1

Step-by-step explanation:

the square root of 400 is  rational  because  the product is 20  which is a whole number making it  a rational number  because a rational number  is any  interger, fraction , terminating decimal, or repeating decimal.

Answer:

191 ounces at the end of 12 weeks

Step-by-step explanation:

Answer:

96°

Explanation

Given problem:

 Find the value of x in the diagram;

Given that lines a and b are parallel lines and transversal c cuts through them;

  the two given angles are said to be equal and alternate angles;

  So;

                99  = x + 3

                     x  = 99  - 3  = 96°

The value of x is 96°

Answer:

80

Step-by-step explanation:

add 60 plus 4o then subtracted from 180

Answer:

x = 100°

Step-by-step explanation:

40 + 60 =

100

Hope this helps!

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The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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Answer:

400 times 8%= 32 times 3=96

Step-by-step explanation:

The limit lim(x→1) ln(x)/(x^8 - 1) meets the conditions to apply l'Hôpital's Rule. Both the numerator and denominator approach zero as x approaches 1.

The derivative of the numerator and denominator exist and are finite in the neighborhood of x = 1. By applying l'Hôpital's Rule, we differentiate the numerator and denominator, and then evaluate the limit. The resulting limit evaluates to 1/8.

To determine if the limit lim(x→1) ln(x)/(x^8 - 1) satisfies the conditions to apply l'Hôpital's Rule, we need to verify the following:

1. Both the numerator and denominator approach zero as x approaches 1.

2. The derivative of the numerator and denominator exist and are finite in the neighborhood of x = 1.

For the numerator ln(x), as x approaches 1, ln(x) approaches ln(1) = 0. Similarly, the denominator x^8 - 1 approaches 1^8 - 1 = 0 as x approaches 1.

To apply l'Hôpital's Rule, we differentiate the numerator and denominator:

lim(x→1) ln(x)/(x^8 - 1) = lim(x→1) (1/x)/(8x^7) = lim(x→1) 1/(8x^8).

Now we can evaluate the limit as x approaches 1:

lim(x→1) 1/(8x^8) = 1/(8(1^8)) = 1/8.

Therefore, the limit lim(x→1) ln(x)/(x^8 - 1) evaluates to 1/8. The conditions to apply l'Hôpital's Rule were met, and the limit was successfully evaluated.

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1) The gravimetric moisture content of the soil at field capacity is approx 27.62%.

2) The dry bulk density of the sample is approximately 1.193 g/cm^3.

3) The porosity of the sample, as a percentage of the total volume, is approximately 54.96%.

1) The gravimetric moisture content of the soil at field capacity can be calculated using the following formula:

Gravimetric Moisture Content = ((Wet Weight - Dry Weight) / Dry Weight) * 100

Given:

Wet Weight = 274.1 g

Dry Weight = 214.7 g

Using the formula, we can substitute the values:

Gravimetric Moisture Content = ((274.1 - 214.7) / 214.7) * 100

Gravimetric Moisture Content = (59.4 / 214.7) * 100

Gravimetric Moisture Content ≈ 27.62%

The gravimetric moisture content of the soil at field capacity is approximately 27.62%.

The gravimetric moisture content represents the amount of water present in a given mass of soil. By subtracting the dry weight of the soil from the wet weight and dividing by the dry weight, we can determine the proportion of water in the sample. Multiplying by 100 gives the moisture content as a percentage.

1a. The dry bulk density of the sample can be calculated using the following formula:

Dry Bulk Density = Dry Weight / Sample Volume

Given:

Dry Weight = 214.7 g

Sample Volume = 180 cm^3

Substituting the values into the formula:

Dry Bulk Density = 214.7 g / 180 cm^3

Dry Bulk Density ≈ 1.193 g/cm^3

The dry bulk density of the sample is approximately 1.193 g/cm^3.

Dry bulk density refers to the mass of dry soil per unit volume. To calculate it, we divide the dry weight of the soil by the sample volume.

1b. The porosity of the sample can be calculated using the following formula:

Porosity = (1 - (Dry Bulk Density / Particle Density)) * 100

The particle density for soil is usually around 2.65 g/cm^3.

Given:

Dry Bulk Density = 1.193 g/cm^3

Particle Density = 2.65 g/cm^3

Substituting the values into the formula:

Porosity = (1 - (1.193 / 2.65)) * 100

Porosity ≈ 54.96%

The porosity of the sample, as a percentage of the total volume, is approximately 54.96%.

Porosity represents the void space within a soil sample. It is calculated by subtracting the ratio of the dry bulk density to the particle density from 1 and multiplying by 100 to get the percentage. In this case, the particle density of 2.65 g/cm^3 is a typical value for soil.

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There are infinitely many inequalities that have b = 4 as a solution.

i.e,

b - 5 < 1

2b + 1 ≥ 9

b/2 > 1

We have,

To find inequalities that have b = 4 as one of its solutions, we need to replace b with 4 in the inequality and check if the inequality is satisfied.

For example, the inequality 2b > 6 has b = 4 as a solution because:

2(4) > 6

8 > 6

This inequality is satisfied when b = 4, so b = 4 is a solution to the inequality 2b > 6.

Similarly, the inequality b + 3 ≤ 7 has b = 4 as a solution because:

4 + 3 ≤ 7

7 ≤ 7

This inequality is satisfied when b = 4, so b = 4 is a solution to the inequality b + 3 ≤ 7.

Other examples of inequalities that have b = 4 as a solution include:

b - 5 < 1 (because 4 - 5 < 1)

2b + 1 ≥ 9 (because 2(4) + 1 ≥ 9)

b/2 > 1 (because 4/2 > 1)

Thus,

There are infinitely many inequalities that have b = 4 as a solution.

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The values a, b, and c in the quadratic equation \(-6x^2 = -9x + 7\) are:

a = -6, b = -9, c = 7.

To identify the values a, b, and c in a quadratic equation, we need to understand the standard form of a quadratic equation: \(ax^2 + bx + c = 0\). In this case, we have\(-6x^2 = -9x + 7\). By rearranging the equation to match the standard form, we get \(-6x^2 + 9x - 7 = 0\). Comparing the coefficients of \(x^2\), x, and the constant term, we can determine the values of a, b, and c.

In this equation, the coefficient of \(x^2\) is -6, which corresponds to the value of a. The coefficient of x is -9, representing the value of b. Lastly, the constant term is 7, indicating the value of c. Therefore, the values a, b, and c in the quadratic equation are a = -6, b = -9, and c = 7.

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Answer:

C

Step-by-step explanation:

took the test :)

5x + 4y = -40

4y = -40 -5x

4y/4 = -40/4 -5x/4

y = -10 -5x/4

hence the y-intercept is -10

Answer:

dog

Step-by-step explanation:

i think the answer is 6 and how i kow is because i already did this

Answer: 27 students

Step-by-step explanation:

First take 45 + 90 = 135 students total

20% = 0.2

Then take 135 times 0.2 = 27 students

Answer:

38

Step-by-step explanation:

3(2)(5)-3(\(2^{2}\))+4(5)

30-12+20

18+20

=38

Answer:

a. 4

b. -2

c. 0,5

Step-by-step explanation:

1. 4

2.2

3.0,5

IT IS SAYING TO WORK OUT WHAT THAT LINE REPRESENTS

Answer:

45.6 cm

Step-by-step explanation:

Let X be the hypotenuse.

(36)^2 + (28)^2 = X^2

X = 45.6 cm

Differentiate between observational and experimental studies: Classify the study as either observational or experimental. In an observational study, researchers observe and analyze existing data without manipulating any variables. In contrast, an experimental study involves manipulating variables and observing the effects. Understanding the study design helps assess the strength of the evidence and the ability to establish causality.

Evaluate potential biases: Assess the presence of biases in the study. Biases can arise from various sources, such as selection bias, measurement bias, or reporting bias. Consider if the sampling method used was likely to produce a representative sample and if there were any potential sources of bias that could affect the study's validity.

Consider confounding variables: Identify potential confounding variables that might impact the relationship between the variables of interest. Confounding variables are additional factors that may influence the study's results and need to be appropriately controlled or adjusted for in the analysis.

Assess validity and reliability: Determine if the study adequately addressed potential sources of error or uncertainty. Look for any factors that could lead to inaccurate or dishonest responses. Assess the reliability and validity of the measurements and data collection methods used in the study.

Evaluate conclusions: Examine whether the study's conclusions align with the reported results. Verify if the evidence presented supports the stated conclusions and if alternative explanations or interpretations were considered.

Consider media portrayal: Assess how the study findings are presented and reported in the media. Evaluate whether the media accurately represents the study's methodology, results, and conclusions, as misinterpretations or sensationalism can distort the true implications of the study.

Assess practical significance: Determine the practical significance and real-world implications of the study's findings. Consider if the observed effects or relationships have meaningful practical applications or if they are merely statistically significant but lack practical importance.

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The cost of 11.5 sheets of stickers costs is $40.25.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, four sheets of stickers cost $14.

Now, the cost of 1 sheet of stickers is 14/4

= $3.5

The cost of \(11\frac{1}{2}\) =11.5 sheet of stickers is

11.5×3.5

= $40.25

Therefore, the cost of 11.5 sheets of stickers costs is $40.25.

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Answer:

\(805\frac{8}{10}\)

Step-by-step explanation:

\(805\frac{8}{10}\)

The bottom of the conyon to ses level plus sea level to the bird nest.

First you add 82+723

And than you need to find the common denominator in this case \(10\frac{1}{2} =\frac{5}{10}\)

\(\frac{5}{10} +\frac{3}{10}\)

The measures of central tendency of the first psychology exam in a semester are the average, median, and mode.

The average score on the exam was an 85.

The median score on the exam was an 80.

The most frequently occurring exam score was an 82.

Therefore, the measures of central tendency for this data set are the mean (or average) of 85, the median of 80, and the mode of 82.

The scores varied from 95 to 65, which is a measure of the range of the scores. The correlation coefficient and standard deviation are measures of variability and correlation, respectively, but not measures of central tendency.

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The measure of the angle ∠ABD will be 66°.

Given that:

Angle, ∠FEG = 48°

The central angle is double the angle at the periphery that was subtended by the same chords.

The line AC is perpendicular to EF and the line DC is perpendicular to EG. So, the equation is given as,

∠FEG + ∠HCI = 180°

48° + ∠HCI = 180°

∠HCI = 132°

By the above theorem, the equation is given as,

∠ABD = 1/2 ∠HCI

∠ABD = 1/2 x 132°

∠ABD = 66°

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The function represent the given graph is f(x)= 1·(1/2)ˣ. Therefore, option B is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

As, seen from the graph passes through (0,1) point.

Now, put x = 0, we get

y = 1 from equation B or D.

Now, as the value of x increases towards negative direction i.e. -5, -6, ....

Then, the value of y will be zero.  

So, the function represent the graph is f(x)= 1·(1/2)ˣ

Therefore, option B is the correct answer.

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Answer:

c is correct

Step-by-step explanation:i took the test

Answer:

C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Plugin x = 10 and y = 5 in the expression.

x + 2y = 10 + 2*5

          = 10 + 10

          = 20