Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −190 feet. Then she continued to hike down for another 20 minutes at a different rate. Her change in elevation for this part of the hike was −200 feet. During which portion of the hike was her rate of change in elevation greater? Complete the explanation. Her rate was faster in the (Select: First, Second) part of the hike, because her heart rate was ____ ft/min in the first part and ___ ft/min in the second part.

Answer:

Answer is 15.1

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Good measures are robust, valid, objective, simple, and precisely definable.

In the context of measurement, good measures possess certain qualities that make them reliable and useful. Based on the options provided, the following qualities apply:

Robust: Good measures are robust, meaning they are resistant to outliers or extreme values that may affect the accuracy of the measurement.

Valid: Good measures are valid, meaning they accurately measure what they are intended to measure and provide meaningful information.

Objective: Good measures are objective, meaning they are free from bias or subjective interpretation, ensuring consistency and fairness.

Simple: Good measures are simple, making them easy to understand and apply. They avoid unnecessary complexity and confusion.

Precisely definable: Good measures have clear and precise definitions, ensuring consistent interpretation and allowing for replication in different contexts.

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Answer:

the answer would be X=0.82

Step-by-step explanation:

(-3,-2)

that is the translation matrix for this question

Answer:

h=9

r=3

and im not so sure about the other 2

Answer:

h = 81

r = N/A

a = 36\pi ^2\\

b = N/A

Step-by-step explanation:

Answer:pour some milk on it so you dont gotta do it

Step-by-step explanation:

Ur teacher will kick you out of the class and try drying the paper but ends up throwing it away

Answer:

the slope is -2/1 or -2x

equation is y= -2x-5

The 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is estimated to be between 0.58 and 0.66.

To calculate the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts, we need to calculate the point estimate and margin of error. The point estimate is the proportion of first-year students who stated they intend on majoring in liberal arts

(62/100 = 0.62).

The margin of error is 1.96 times the standard error

(SE = √(p(1-p)/n) = √(0.62(1-0.62)/100) = 0.04).

The lower bound of the 95% confidence interval is the point estimate minus the margin of error

(0.62 - 0.04 = 0.58).

The upper bound of the 95% confidence interval is the point estimate plus the margin of error

(0.62 + 0.04 = 0.66).

Therefore, the 95% confidence interval for the true proportion of first-year students who intend on majoring in liberal arts is estimated to be between 0.58 and 0.66.

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Answer:

$13

Step-by-step explanation:

$26 x .5 = $13

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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The SI unit for density is kilogram per cubic meter (kg/m³)/

The density of liquid is 0.17 × 10⁸.

Kilogram Per Cubic Meter:

The SI unit for density is the kilogram per cubic meter (kg/m3). For many situations, however, this as an inconvenient unit, and we often use grams per cubic centimeter (g/cm3) for the densities of solids and liquids, and grams per liter (g/L) for gases.

According to the question:

Firstly, have to change your units to kilograms and cubic meters. Since there are a thousand grams in a kilogram,

                        170g = 1.70 x 10⁻¹ kg.

Since there are a thousand milliliters in a liter and a thousand liters in a cubic meter

               100ml = 1.00 x 10⁸ cubic meters

Therefore, Density= mass/volume

Density = 1.7 x 10⁻¹/ 1.00 x 10⁸ kg/m³

             = 0.17 x 10⁸ kg/m³.

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Answer:

y = 156

Step-by-step explanation:

Solve for y:

y - 52 4 + 52 = 0

Multiply -52 and 4 together.

-52×4 = -208:

y + -208 + 52 = 0

Group like terms in y - 208 + 52.

Grouping like terms, y - 208 + 52 = y + (-208 + 52):

y + (-208 + 52) = 0

Evaluate 52 - 208.

52 - 208 = -156:

y + -156 = 0

Isolate terms with y to the left-hand side.

Add 156 to both sides:

y + (156 - 156) = 156

Hint: | Look for the difference of two identical terms.

156 - 156 = 0:

Answer:  y = 156

Answer:

\(Y=472\)

Step-by-step explanation:

\(Y-524+52=0\)

\(\mathrm{Add/Subtract\:the\:numbers:}\:-524+52=-472\)

\(Y-472=0\)

\(\mathrm{Add\:}472\mathrm{\:to\:both\:sides}\)

\(Y-472+472=0+472\)

\(\mathrm{Simplify}\)

\(Y=472\)

The end behaviour of the function h(x) = -5x⁴ + 7x³ - 6x² + 9x + 2 is as x ⇒ +oo, h(x) ⇒ -oo and as x ⇒ -oo, h(x) ⇒ -oo

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

h(x) = -5x⁴ + 7x³ - 6x² + 9x + 2

Replace x with infinity to determine the end behaviour of the function as x approaches infinity

So, we have the following representation

h(oo) = -5(oo)⁴ + 7(oo)³ - 6(oo)² + 9(oo) + 2

Evaluate the exponents

So, we have the following representation

h(oo) = -5(oo) + 7(oo) - 6(oo) + 9(oo) + 2

Evaluate the products

So, we have the following representation

h(oo) = -oo + oo - oo + oo + 2

Evaluate the sum

So, we have the following representation

h(oo) = -oo

Replace x with negative infinity to determine the end behaviour of the function as x approaches negative infinity

So, we have the following representation

h(-oo) = -5(-oo)⁴ + 7(-oo)³ - 6(-oo)² + 9(-oo) + 2

Evaluate the exponents

So, we have the following representation

h(-oo) = -5(oo) + 7(-oo) - 6(oo) + 9(-oo) + 2

Evaluate the products

So, we have the following representation

h(-oo) = -oo - oo - oo - oo + 2

Evaluate the sum

So, we have the following representation

h(-oo) = -oo

So, the end behavior is as x ⇒ +oo, h(x) ⇒ -oo and as x ⇒ -oo, h(x) ⇒ -oo

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Answer:

You can pick a Hare and a Tortoise LOL

Step-by-step explanation:

Answer:

261.80 mm³

Step-by-step explanation:

the volume is 1/3 of the volume of a cylinder with the same measurements (ground area times height).

so, v = pi × r^2 × h × 1/3

r=5

h=10

v = pi × 5^2 × 10 × 1/3 = pi × 250/3 = 261.80 (261.7993878...)

The length of the side EF is equal to 18 units since the triangle DEF and triangle ABC are similar and DEF is bigger than ABC in the margin of 3 times.

Given, two triangles ABC and DEF.

The length of AB = 8 units

The length of its concurrent side DE = 24 units

Also given that the length of BC = 6 units

Here we can see that:

As both triangles are similar, their corresponding sides are in proportion.

This means that:

\(\frac{BC}{EF} = \frac{AE}{DE} =\frac{AC}{DF}\)

Length of AB * 3 = Length of DE

Now the length of the side EF will be 3 times more than the side BC.

Length of EF = Length of BC * 3

Length of EF = 6 * 3

Length of EF = 18 units.

Therefore, the length of the side EF is equal to 18 units.

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Let g be the integral function defined by g(x) = ∫x-1 (-1/2 * cos (t³ / 2t)) dt for x = 0, g is g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

To solve this integral, we need to use the substitution method. We will let u = t/2t, du = 3t/2 dt.

Thus, the integral becomes:

g(x) = -1/2 * ∫x-1 cos(u) du

Using integration by parts, we get:

g(x) = -1/2(x-1 * sin(u) + ∫x-1 sin(u) du).

After integrating the second part, we obtain the final result:

g(x) = -1/2(x-1 * sin(u) - x-1 * cos(u))./2t

we subtitute the value of u to get:

g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

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The value of a for the given equation is a=(r-q)/g.

The given equation is ga+q=r.

We need to find the value of a from the given equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, ga+q=r can be solved for a as follows:

⇒ga=r-q

⇒a=(r-q)/g

Therefore, the value of a for the given equation is a=(r-q)/g.

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The formula n = (Z * Z * p * (1-p)) / (E * E) is used to calculate sample size for accurate estimation without prior knowledge of p.

To ensure that your sample is large enough to achieve the specified accuracy for the estimate without prior knowledge about p, you can use the formula for sample size calculation. The formula is:

n = (Z * Z * p * (1-p)) / (E * E)

where:
n = required sample size
Z = Z-value (corresponding to the desired confidence level)
p = estimated proportion of the population
E = desired margin of error or accuracy

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Answer:

Step-by-step explanation:

y - 2 = 2(x - 6)

y - 2 = 2x - 12

y = 2x - 10

Answer:

C. all whole numbers

Step-by-step explanation:

Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.

Hence, the annual income can only be whole numbers

Answer:

c

Step-by-step explanation:

Answer:

f(-1) = 1

Step-by-step explanation:

f(x) = .5(1-x)

Let x = -1

f(-1) = .5(1- -1)

     .5( 1+1)

    .5(2)

     1

From the revenue equation and cost equation , we can say that the company make a profit when x > 1250

Given :

The revenue equation  is y=2.6x,

cost equation is y=x+2000

When the company makes profit only when  revenue > cost

Lets frame inequality using revenue > cost

Replace the revenue equation and cost equation

\(Revenue > cost \\2.6x > x+2000\)

Now solve the inequality for x

Subtract 1x from both sides

\(2.6x > 1x+2000\\2.6x -1x> 2000\\1.6x > 2000\)

Divide both sides by 1.6

\(x>1250\)

The company makes profit when x is greater than 1250

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With the help of two variable equations, the two numbers are 8 and 16.

There are three ways to solve equations-

1. Substitution method

2. Elimination method

3. Graphing method.

Now, let the number be x and y.

Therefore, the sum of two numbers is twenty-four,  x+y= 24

Now, given that,

3x-4=2y-12

3x-2y=-8

2y-3x=8

Now, substituting the value of y in the equation

2(24-x)-3x=8

40=5x

x=8

Therefore, the two numbers are 8 and 16.

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Steel: σs = p/A_s; Brass: σb = p/A_b; Copper: σc = p/A_c , where A_s, A_b, A_c are the areas of the steel, brass, and copper, respectively.

To calculate the tensile stresses in the steel, brass, and copper due to the force p, we use the formula: σ = p/A, where σ is the tensile stress and A is the area of the material. For the steel, the area is A_s, so the tensile stress σs is equal to p divided by A_s. For the brass, the area is A_b, so the tensile stress σb is equal to p divided by A_b. Finally, for the copper, the area is A_c, so the tensile stress σc is equal to p divided by A_c. Therefore, the tensile stresses in the steel, brass, and copper due to the force p can be calculated using the formula σ = p/A, where A is the area of the material.

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Answer:

86

Step-by-step explanation:

If all conditions for inference were met, does the interval provide convincing statistical evidence, at a level of significance of  95%, that the mean number of hours of community service performed last year was indeed different from the recommended 24 hours.

To determine if the 95% confidence interval provides convincing statistical evidence at a level of significance that the mean number of hours of community service performed last year was different from the recommended 24 hours, we'll analyze the constructed interval (20.37, 23.49).
1. First, observe the given confidence interval: (20.37, 23.49)
2. Identify the recommended average of 24 hours by the president.
3. Check if the recommended average is within the confidence interval.
Since 24 hours is not within the interval (20.37, 23.49), it provides convincing statistical evidence, at a level of significance of 95%, that the mean number of hours of community service performed last year was indeed different from the recommended 24 hours.

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The given equation: r(t) = (8 sin t) i + (6 cos t) j + (12t) k gives the position of a particle in space at time t. The velocity of the particle at time t can be calculated using the derivative of the given equation: r'(t) = 8 cos t i - 6 sin t j + 12 k We know that acceleration is the derivative of velocity, which is the second derivative of the position equation.

The magnitude of the velocity at time t is given by:|r'(t)| = √(8²cos² t + 6²sin² t + 12²) = √(64 cos² t + 36 sin² t + 144)And the direction of the velocity is given by the unit vector in the direction of r'(t):r'(t)/|r'(t)| = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)Similarly, the magnitude of the acceleration at time t is given by:|r''(t)| = √(8²sin² t + 6²cos² t) = √(64 sin² t + 36 cos² t)And the direction of the acceleration is given by the unit vector in the direction of r''(t):r''(t)/|r''(t)| = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)Therefore, the velocity vector is: r'(t) = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)The acceleration vector is: r''(t) = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)

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