HELP!!!! Identify the volume of the composite figure rounded to the nearest tenth.

Answer:

-100 + x = 40

Step-by-step explanation:

According to the question:

Tyler's original height = -100 feet

Tyler's final height = 40

X to represent change in elevation

As initial + change = final, the equation would be:  

-100 + x = 40  

Please mark it as brainliest if it helps you!

I wasn't sure about my answer, so used the gauthmath app.

When t = -2, the value of x is -4, where x is defined as x = 2t.

To determine the value of the function x in terms of t and evaluate it at a given value of t, we need to substitute the given value of t into the function and calculate the result. In this case, we have x = 2t and y = t^3. We want to find the value of x when t is equal to -2.

Substituting t = -2 into the function x = 2t:

x = 2(-2)

x = -4

Therefore, when t = -2, the value of x is -4. It's important to note that we are only evaluating the value of x at t = -2, not finding a general expression for x in terms of t. This process involves substituting the given value into the expression for x to find the specific value at that point.

Therefore, when t = -2, the value of x is -4.

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Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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a. The point estimate of the population proportion is 2.4%.

b. The margin of error for a 99% confidence interval estimate is 0.020.

c. The 99% confidence interval for the population proportion is between 0.024 and 0.276

a. The point estimate of the population proportion can be calculated by dividing the number of employees who failed the test (12) by the total number of tests conducted (490) and converting it to a percentage:

Point estimate = (12/490) × 100 = 2.4%

b. The margin of error for a confidence interval estimate can be calculated using the formula:

Margin of error = Z × \(\sqrt{(\beta (1 - \beta )/ n) }\)

For a 99% confidence interval, Z is the critical value obtained from the z-distribution table. Since the population proportion is unknown, we use the point estimate as an approximation. n is the sample size, which is 490.

Using the z-distribution table, the critical value for a 99% confidence interval is approximately 2.576.

Plugging in the values, we get:

Margin of error = 2.576 × \(\sqrt{0.024 (1 - 0.024) }\) / 490) ≈ 0.020

c. To compute the 99% confidence interval for the population proportion, we use the formula:

Confidence interval = Point estimate ± Margin of error

Substituting the values, we have:

Confidence interval = 2.4% ± 0.020

Confidence interval ≈ (0.024, 0.276)

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Answer:

im pretty sure its 14

Step-by-step explanation:

Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

Answer: 1

Step-by-step explanation:

How big is the table? 1 table can fit all 17 people if the table is big enough.

I hope this helps you

if P is the center of circle

|DC|=|AB| than

m(APB) =m(DPC) =x=30°

Answer:

c y<2x-2

y<x2-3x I did this last year and I remembered it and got into my notes and found it

The system of inequalities shown in the graph is y ≤ 2x -2 and y ≤ x² -3x so, option C is correct.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

The graph of the inequality is shown,

As you can see from the graph, the  x² -3x is representing and the line is representing by the  2x - 2,

Find the zeroes of the equation x² -3x and 2x - 2 as shown below,

x² -3x = 0

x = 0, x = 3

2x - 2 = 0

x = 1

As you can see, if the zeroes are positive, then the inequality will be y ≤ 2x -2 and y ≤ x² -3x.

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Behavior of the graph for very large values of x is upwards on both sides of the x-axis. Behavior of the graph at the x-intercepts are (−5,0),(−1,0) and (2,0).

Given \(f(x) = 10(x + 5)^2 (x + 1)(x - 2)^3\)

To sketch the graph of the function, we need to find out some key points of the graph like the intercepts and turning points or points of discontinuities of the function.

Here we can see that x-intercepts are -5, -1, 2 and the degree of the function is 6.

Hence, we can say that the graph passes through the x-axis at x=-5, x=-1, x=2.

Now we can sketch the graph of the function using the behavior of the function for large values of x and behavior of the graph near the x-intercepts.

The leading term of the function f(x) is \(10x^6\) which has even degree and positive leading coefficient,

hence the behavior of the graph for very large values of x will be upwards on both sides of the x-axis.

In the vicinity of the x-intercept -5, the function has a very steep slope on the left-hand side and shallow slope on the right-hand side of -5.

Therefore, the graph passes through the x-axis at x=-5, touching the x-axis at the point (-5, 0).In the vicinity of the x-intercept -1, the function has a zero slope on the left-hand side and steep slope on the right-hand side of -1.

Therefore, the graph passes through the x-axis at x=-1, crossing the x-axis at the point (-1, 0).

In the vicinity of the x-intercept 2, the function has a zero slope on the left-hand side and the right-hand side of 2. Therefore, the graph passes through the x-axis at x=2, crossing the x-axis at the point (2, 0).

Hence, the very rough sketch of the graph of the given function is shown below:

Answer: Behavior of the graph for very large values of x is upwards on both sides of the x-axis.Behavior of the graph at the x-intercepts are (−5,0),(−1,0) and (2,0).

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Answer:

60

Step-by-step explanation:

stuffed animals = 3 x dolls eqn 1

video games = 15 + stuffed animals eqn 2

dolls = 15

replace for dolls in eqn 1

stuffed animals = 15 x 3 = 45

substitute for stuffed animals in eqn 2

45 + 15 = 60

The volume of the solid is (3π/5) units^3.  To find the volume of the solid formed by rotating the region in the 1st quadrant enclosed by the curves y=x^1/4 and y=x/64 about the y-axis, we can use the method of cylindrical shells.

First, we need to determine the limits of integration. Since the region is in the 1st quadrant, we can integrate from y=0 to y=1. To find the corresponding x-values for these limits, we can set y=x^1/4 and y=x/64 equal to 1 and solve for x:

x^1/4 = 1 => x = 1

x/64 = 1 => x = 64

So, our limits of integration are x=1 to x=64.

Next, we need to find an expression for the radius of each cylindrical shell. The radius is simply the distance from the y-axis to the curve at a given y-value. So, for a given y, the radius is:

r = x - x^1/4

Finally, we need to find an expression for the height of each cylindrical shell. The height is the infinitesimal change in y, which is simply dy. So, the volume of each cylindrical shell is:

dV = 2πr dy

Putting it all together, we have:

V = ∫(2πr) dy from y=0 to y=1

= ∫2π(x - x^1/4) dy from y=0 to y=1

= 2π ∫(x - x^1/4) dy from y=0 to y=1

= 2π ∫(y^4 - y) dy from y=0 to y=1

= 2π [y^5/5 - y^2/2] from y=0 to y=1

= 2π [(1/5) - (1/2)]

= (3π/5) units^3

Therefore, the volume of the solid is (3π/5) units^3.

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The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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Answer:

\(\frac{1}{6}\) = .167

\(\frac{2}{6}\) = .333

\(\frac{3}{6}\) = .5

\(\frac{4}{6}\) = .667

\(\frac{5}{6}\) =.833

Step-by-step explanation:

Hope this helps !

Answer:

p=2

Step-by-step explanation:

х

3

10

15

30

у

5

р

1

1

0.5

what is the value of p=2

The code uses the bisection method to find two non-zero roots of the equation sin(x) - x**2 + 1/2 = 0. The roots are found to a precision of 6 decimal places.

We can use Python to find the roots of the equation using the bisection method. Here's the code:

python

Copy code

import math

def bisection method(f, a, b, tolerance):

   if f(a) * f(b) >= 0:

       raise Value Error("The function must have opposite signs at the endpoints.")

   num_steps = 0

   while (b - a) / 2 > tolerance:

       c = (a + b) / 2

       num_steps += 1

       if f(c) == 0:

           return c, num_steps

       elif f(a) * f(c) < 0:

           b = c

       else:

           a = c

   return (a + b) / 2, num_steps

# Define the equation

def equation(x):

   return math. Sin(x) - x**2 + 1/2

# Set the initial interval [a, b]

a = -1

b = 1

# Set the desired tolerance

tolerance = 1e-6

# Find the roots using the bisection method

root_1, steps_1 = bisection method(equation, a, b, tolerance)

root_2, steps_2 = bisection method(equation, -2, -1, tolerance)

# Print the results

print("Root 1: {:.6f}, found in {} steps". Format(root_1, steps_1))

print("Root 2: {:.6f}, found in {} steps". Format(root_2, steps_2))

We define a function bisection method that implements the bisection method. It takes as inputs the function f, the interval [a, b], and the desired tolerance. It returns the approximate root and the number of steps taken.

The equation sin(x) - x**2 + 1/2 is defined as the function equation.

We set the initial interval [a, b] for root 1 and root 2.

The desired tolerance is set to 1e-6, which determines the precision of the root.

The bisection method function is called twice, once for root 1 and once for root 2.

The results, including the roots and the number of steps, are printed to the console.

The code uses the bisection method to find two non-zero roots of the equation sin(x) - x**2 + 1/2 = 0. The roots are found to a precision of 6 decimal places. The number of steps required by the bisection method to find each root is also provided.

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Answer:

2)     (0,-3)

Step-by-step explanation:

hello :

put x=0 and y= -3 in this system !

Y = 3/4x - 3

3x - 4y = 12

- 3 = 3/4(0) - 3  means : -3 = -3 ......true

3(0) - 4(-3) = 12  means : 12= 12 ......true

Answer:

hypotenuse = 17

Step-by-step explanation:

This is how you calculate hypotenuse

c=√a^2 + b^2

calculating this question would be

c=√15^2 + 8^2

Answer:

c=17

Step-by-step explanation:

Answer:

-2x-y=3

-2x=3+y

-2x=4

y=2

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:  2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I don't know how to do it I used an app

The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

For given question,

A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.

so, the probability that someone have this belief is P = 0.85

We know that in probability,

p = 1 - q

where;

p is probability of success

q is probability of failure.

Thus the probability that someone does not have this​ belief would be,

= 1 - P

= 1 - 0.85

= 0.15

Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15

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Answer:

8+ 1/2 (12) = x

8+ 6 = x

Therefore x = 14

Answer:

The answer is X = 14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Answer:

-9/5

Step-by-step explanation:

x = 2/5

_______

-2/9

x = -9/5

The exponential function that can model the revenue of a technology company whose starting value is $395,000 in 2010 at 1.2% annual growth is b) S(t)=395*(1.012)^(t).

An exponential function is a mathematical function that calculates the exponential growth or decay of a given data set.

An exponential function is defined by the formula f(x) = ab^x.

There are two kinds of exponential functions:

Starting value of the revenue in thousands of dollars = $395,000

Time measured in years after 2010 = t

Annual growth rate = 1.2%

Thus, the exponential function that mirrors the revenue growth is b) S(t)=395*(1.012)^(t).

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a) R(t)=395*e^((0.012t))

b) S(t)=395*(1.012)^(t)