PLEASE!!!! HELP!!! ASAP!!!! All the passages in a cave have an elevation above -4 feet with respect to sea level.

let x be the elevation of a passage in feet. Write an inequality that represents elevations above -4 feet.

The graph of y = 3 - 4x is given above.

The coordinates on the graph are:

(-2, 11) and (7, -25).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 3 - 4t

Where -2 ≤ t ≤ 7

Now,

Find the coordinates on the graph.

y = 3 - 4t

For t = -2

y = 3 - 4 x (-2) = 3 + 8 = 11

i.e

(-2, 11)

For t = 7

y = 3 - 4 x 7 = 3 - 28 = -25

i.e

(7, -25)

Thus,

The coordinates on the graph are:

(-2, 11) and (7, -25).

The graph is given below.

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There are 1287 different ways Ms. Bell can create a 5-Member committee of seniors from her class.

Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. The task is to determine the number of different ways Ms. Bell can create a 5-member committee of seniors, with each senior having an equal chance of being selected.

To solve this problem, we can use combinations. The number of ways to select a committee of 5 seniors from a group of 13 can be calculated using the combination formula:

C(n, k) = n! / (k!(n - k)!)

Where n represents the total number of elements (seniors in this case), and k represents the number of elements to be selected (5 in this case). The exclamation mark denotes the factorial of a number.

Using the combination formula, the number of ways to select a 5-member committee from 13 seniors is:

C(13, 5) = 13! / (5!(13 - 5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287

Therefore, there are 1287 different ways Ms. Bell can create a 5-member committee of seniors from her class.

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Answer:

x=y-4

Step-by-step explanation:

If Samir has skated y laps around the rink, then Kai has skated y - 4 laps around the rink.

So the expression that shows how many laps Kai has skated around the rink is: x=y-4

Answer:

Step-by-step explanation: patience. wyd here.

but the answer is x=y-4

If r = 2 then substitute it for where r is in your given equation

New equation:

\(\dfrac{7(2)}{2}\)

\(\bf{7(2) = 14}\)

\(\dfrac{14}{2} = 7\)

\(\bf{Answer: 7}\) ☑️

Good luck on your assignment and enjoy your day!

\(\frak{LoveYourselfFirst:)}\)

The subset of the data set with x2, x3, and x4 would include 6 missing values.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

1. Subset the data set to include only x2, x3, and x4.

2. Count the number of missing values in each variable.

3. Add the number of missing values for each variable together.

4. The total number of missing values in these three variables is 6.

The subset of the data set with x2, x3, and x4 would include 6 missing values.

Subset the data set to include only x2, x3, and x4.

The complete question is :

Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?

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Answer:

12 foot.

Step-by-step explanation:

Given that,

A ladder leans a 15 foot ladder against a second story window.

The distance on the ground between the base of the ladder and the house is 9 feet.

We need to find the height of the ladder. Let it is h.

If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.

So, the height of the ladder that reaches the second story window is 12 foot.

Answer:

I think the answer is B

Step-by-step explanation:

The error which is made by Mel in drawing square in the circle is that thefour chords that ob , chord wx must be a diameter

A square is a 2 dimensional figure having four sides and four angles which are equal to 90°. All sides of square are always equals to each other.

First draw a circle in which we want to draw such square.

Next draw a chord in the circle.

From one end, draw a straight line connecting a point on the circle and end point of the chord in such a way that the line and chord are perpendicular to each other.

Next draw another line also from the end of line formed in second step.

Lastly draw a line from the other end of chord and join it with the line we have drawn lastly.

In this way we will get square in circle.

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Answer:

4.708 feet    

Step-by-step explanation:

Given that: The sector area A=28.25 ft2

The radius r = 12 feet

....attached work below

Now the length of steel (Arc length ) = 2πr/2π × θ

The length of steel (Arc length ) = r × θ

The length of steel (Arc length ) = 12 × 0.39236

The length of steel (Arc length ) = 4.708 feet    

Answer:

A, C, D

Step-by-step explanation:

We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output

(A) 1*85-85

(B) 0.85*85 = 72.75

(C) 0.2*85 = 14

(D) 3.5*85 = 297.5

(E) 4* 85 = 340

A, C, and D match up

Step-by-step explanation:

domain = (0,2)

range=(4,-4)

funcion =quadratic

The area of the surface is (2/3)π.

We can solve this problem using a double integral. First, we need to find the limits of integration for x and y. From the equation x + y + z = 1, we get:

z = 1 - x - y

Substituting this into the equation x² + 7y² ≤ 1, we get:

x² + 7y² ≤ 1 - z² + 2xz + 2yz

Since we want to find the area of the surface, we need to integrate over x and y for each value of z that satisfies this inequality. The limits of integration for x and y are given by the ellipse x² + 7y² ≤ 1 - z² + 2xz + 2yz, so we can write:

∫∫[x² + 7y² ≤ 1 - z² + 2xz + 2yz] dA

where dA is the area element.

To evaluate this integral, we can change to elliptical coordinates u and v, defined by:

x = √(1 - z²) cos u

y = 1/√7 √(1 - z²) sin u

z = v

The limits of integration for u and v are:

0 ≤ u ≤ 2π

-1 ≤ v ≤ 1

The Jacobian for this transformation is:

J = √(1 - z²)/√7

So the integral becomes:

∫∫[u,v] (x² + 7y² )J du dv

Substituting in the values for x, y, z, and J, we get:

∫∫[u,v] [(1 - z²) cos² u + 7/7 (1 - z²) sin² u] √(1 - z²)/√7 du dv

Simplifying, we get:

∫∫[u,v] [(1 - z²) (cos² u + sin² u)] (1/√7) dz du dv

= ∫∫[u,v] [(1 - z²)/√7] dz du dv

= (2/3)π

Therefore, the area of the surface defined by x + y + z = 1, x² + 7y² ≤ 1 is (2/3)π.

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Answer:

the answer is 324.0 show in the workings

Answer:

4x^2+24x-64

Step-by-step explanation:

First you multiply (x+8) by (x-2). You can use this using the FOIL method which stands for first, outer, inner, last. Through this method you would multiply x by x first and get x^2, then x by -2 and get -2x, then 8 by x and get 8x, and finally 8 by -2 and get -16. You then add this all together and get x^2-2x+8x-16 or x^2+6x-16.

Now all you have to do is multiply each term by 4 and get 4x^2+24x-64 using the distributive property.

Answer:

>>> t = 3/2 - sqrt(111)/4

>>> t = 3/2 + sqrt(111)/4

Step-by-step explanation:

-16r^2 + 48t +75=0

>>> t = 3/2 - sqrt(111)/4

>>> t = 3/2 + sqrt(111)/4

Answer:

The truck can paint 32 miles in 12 hours.

Answer:

BC = 13

Step-by-step explanation:

x + 10 + x + 14 = 22

2x + 24 = 22

2x = -2

x = -1

BC = x + 14 = -1 + 14 = 13

The function g(x) of graph has the following equation: g(x) = (10)ˣ⁻³

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Two functions' graphs, f(x) and g, are provided to us (x).

The exponential function f(x) is defined as follows: f(x) = (10)ˣ

Finding the equation for the converted function g is now required of us (x).

The graph of the function g(x) may be shown to travel through the points (3,1), (4,10), (5,100), and so forth.

This indicates that the following is the equation or expression for the function g(x):

g(x) = (10)ˣ⁻³

Given that we have g(x) for x=3 , (10) ³⁻³

When x=4, we obtain g(x) = (10) ⁴⁻³

g(x) = (10)¹

g(x) = 10

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The perimeter and area of triangle are 22.15 units and 15 unit² respectively

The sketch of the triangle is shown in the image attached.

The perimeter of the triangle is sum of the sides AB, AC and BC.

The length of the sides can found using the formula:

L =√((x2 – x1)² + (y2 – y1)²)

Side AB:

A(-5, 2), B (-3, 5)

L =√((-3 – (-5))² + (5 – 2)²) = 3.61 units

Side AC:

A(-5, 2),  C(5, 2)

L =√((5 – (-5))² + (2 – 2)²) = 10 units

Side BC:

B (-3, 5),  C(5, 2)

L =√((5 – (-3))² + (2 – 5)²) = 8.54 units

Altitude BD:

B (-3, 5),  D (-3, 2)

L = 5 - 2 = 3 units  

Note: The x-axis is the same, we can simply subtract the y to get L.  

Perimeter = AB + AC + BC

Perimeter = 3.61 + 10 + 8.54 = 22.15 units

Area = 1/2 * base * height

Area = 1/2 * AC * BD

Area = 1/2 * 10 * 3 = 15 unit²

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Answer: The perimeter and area of the triangle should be 22.15 units and 15^2 units

Not one of my best answers, but I hope it will help :)

Answer:

(-12, -7)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

The simplified expression for the given functions f and g is 11-x

What is the value of the function?

The value of the function at a point can be found by substituting the point in the function. This value also depend on the nature of the Function.

We are given a function

f(x) =6-x

Now when we say f(2x) it means the x in the function should be replaced with 2x

Hence the function becomes

f(2x) =6-2x

Similarly

g(x) = (x/3)+8

g(3x-9)= (3x-9/3)+8

g(3x-9)= x-3+8

g(3x-9) = x+5

Now we are asked to add the functions, we simply add the new functions and simplify them

f(2x) + g(3x-9)

=6-2x+x+5

=11-x

Which is the required value

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Answer:

=========================

Simplify f(2x) + g(3x - 9):

Firstly find the inverse of g(x):

Now solve the equation:

The solution is, the retail price of the mattress, before the discount is $2,400. & the wholesale price, before the markup was $960

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

Part A:

Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then

50% of x = 1200

⇒ 0.5x = 1200

⇒ x = 1200 / 0.5 = 2400

Therefore, the retail price of the mattress, before the discount is $2,400.

Part B:

Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then

(100% + 150%) of p = 2400

250% of p = 2400

2.5p = 2400

p = 2400 / 2.5 = 960.

Therefore, the wholesale price, before the markup was $960.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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The sample size is 68.

Standard deviation is also known as root-mean-square deviation" because it is the square root of the means of the squared deviations from the arithmetic mean.

Given a population is estimated to have a standard deviation of 15. We want to estimate the population mean within 3, with a 90% level of confidence.

We must determine the required sample size.

In this case, the margin of error is E = 3

For 90% CI z value is 1.645 as P(-1.645<z<1.645)

And the standard deviation is σ=15    

So we will find n using the formula of E

E = z x σ/√n

√n = (zx σ)/E

Squaring on both sides

n=(〖zxσ/E)〗^2

= [(1.645 x 15)/3]2

= 67.6506

= 68

Therefore the required sample size is 68

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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