For membership to an athletic club, it costs $110 to join and $25 per month of membership. Write an equation to show the situation

Answer:

1.3y

Step-by-step explanation:

The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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The function f(8)=4 defines that it will take x/2 hrs to complete the work and "x being No of workers".

The given data is as follows:

There are x people working in the crew at the racetrack, it takes f(x) hrs to get the track ready.

Let us assume that there is x worker at the racetrack,

f(x) is the function that is going to define the working hours required to get the track ready,

The function will depend on workers as it is mentioned as "f(x)".

Now,

function f(x)=?

But given that f(8)=4

It means when  x=8 that means when are there 8 workers working at the racetrack and it took  4 hours to complete the work.

Now,

we have written a function that gives the relation between a given worker as 8 and time as 4 hrs.

so 8 workers complete work in 4 hrs,

then x worker will complete in y hrs i.e.f(x).

=4x=8*f(x)

=4x/8

=x/2.

Hence the function will be f(x)=x/2

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The complete question is -

max works as a groundskeeper at a racetrack, where he is part of a bigger crew. when x people are working on the crew, it takes them f(x) hours to get the track ready for a day of racing. what does f(8)=4 tells us?

The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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Step-by-step explanation:

There are 8 fluid ounces in a cup....

   divide the number of ounces by 8 to find the number of cups

# ounces /  8 ounces/cup    =    cups

Answer:

78.54 meters

Step-by-step explanation:

circular path

radius = 15 meters

First we have to calculate the circumference of the circular path = 2\(\pi r\)

= 2 * \(\pi * 15\)

= 94.285 meters ( total distance to be covered )

For Ali running at a speed of 8.4 meters/ seconds

It will take him : ( 94.285 / 8.4 ) seconds

= 11.22 seconds

You running at a speed of 7 meters/seconds

hence at 11.22 seconds when Ali must have crossed the finish line you must have covered ;

(11.22 * 7 ) meters

= 78.54 meters

We are given the following functions:

We are asked to determine:

This is equivalent to:

Substituting the functions:

Now, we use the following property:

Applying the property we get:

Solving the products:

Simplifying we get:

And thus we get the desired expression.

Now, we are asked to determine:

This is the product of the functions. Substituting we get:

Solving the products:

Since we can't simplify any further this is the final answer.

The cross section of a right circular cone parallel to its base is a circle.

A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.

A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top

The cross section of a right circular cone parallel to its base is a circle.

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Answer:

The fraction which would represent this question is \(\frac{3}{5}\)

Step-by-step explanation:

The way to represent a division problem as a fraction is to put the dividend (3) over the divisor (5).

Answer:

5 cube and 5 cube = 10 cube..??

Step-by-step explanation: ok so can i have brainiest plaease::)

For the given set -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.

As given in the question,

Given set is equal to :

-2≤ x ≤ 2

where x belongs to integer

For the given expression -2(x-5) < 10 the solution set is equal to :

-2(x-5) < 10

Divide by -2 both the side we have,

( x -5 ) > 10 /-2

⇒ (x-5) >-5

Add 5 both the side we get,

x-5 +5 > -5 +5

⇒ x > 0

Value of x is less than or equal to 2.

x = 1 and x =2

Therefore, for the given set  -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.

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The area inside the loop of the limaçon given by r = 7 - 14sin(θ) is 73.5π square units.

The equation for a limaçon is given by r = a ± b*cos(θ), where a is the distance from the origin to the loop of the limaçon, and b is the distance between the loop and the pole.

In this case, we have r = 7 - 14sin(θ), which is in the form of a limaçon with a = 7 and b = 14.

To find the area inside the loop of the limaçon, we need to integrate 1/2*r^2 dθ over the appropriate range of θ values.

Since the loop of the limaçon is traced out when θ varies from 0 to π, we integrate from 0 to π:

A = 1/2 * ∫[0,π] (7 - 14sin(θ))^2 dθ

Using the identity sin^2(θ) = (1/2)*(1 - cos(2θ)), we can simplify this to:

A = 1/2 * ∫[0,π] (49 - 196sin(θ) + 196sin^2(θ)) dθ

A = 1/2 * (49π - 196∫[0,π] sin(θ) dθ + 196∫[0,π] sin^2(θ) dθ)

The integral of sin(θ) from 0 to π is zero, and we can use the identity sin^2(θ) = (1/2)*(1 - cos(2θ)) again to get:

A = 1/2 * (49π + 196∫[0,π] (1/2)*(1 - cos(2θ)) dθ)

A = 1/2 * (49π + 98∫[0,π] (1 - cos(2θ)) dθ)

A = 1/2 * (49π + 98(θ - (1/2)*sin(2θ))|[0,π])

Evaluating this expression at the limits of integration, we get:

A = 1/2 * (49π + 98(π - 0))

A = 1/2 * (147π)

A = 73.5π

Therefore, the area inside the loop of the limaçon given by r = 7 - 14sin(θ) is 73.5π square units.

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True. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

In terms of the row-reduced echelon form (RREF) of A, this means that there is at least one row with all zeros except for a non-zero entry in the last column (corresponding to the augmented vector b), indicating a contradiction. If the RREF of A had a pivot position in every row, then the corresponding system of equations would have a unique solution, so it must be the case that the RREF of A does not have a pivot position in every row.  If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.

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Answer:20

Step-by-step explanation:First multiply them and you should get that answer

Answer:

Step-by-step explanation:

Based on the fact that Ms. Michaels surveyed her class on whether they preferred free time at the beginning of class or at the end of class and found that students who prefer free time at the end of class are 12 over 19, the thing which the ratio 12 over 19 represents is C. 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.

What is a Ratio?

This refers to the quantitative relation that is used to show the relation between two variables, which shows the number of times one is contained in the other.

Hence, it can be seen that based on the result of the survey by Ms. Michaels about the preference of the students about free time at the beginning of class or at the end of class, the meaning of the ratio is that 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.

Answer:

Step-by-step explanation:

the ratio 13 over 17 represents how many students preferred free time at the beginning of class to how many students preferred free time at the end of class.a little extra: more people want free time at the end of class than at the beginning

A factor in an experiment that changes from the manipulation of the independent variable is the dependent variable.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables are so-called because, during an experiment, their values are examined on the assumption or presumption that they are governed by the values of other variables.

The variable being measured or tested in an experiment is known as the dependent variable. 1 The results of the participants' tests, for instance, since that is what is being measured, would be the dependent variable in a study looking at how tutoring affects test scores.

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The simplified expression for the given expression is "a squared minus b squared minus a b."

To simplify the given expression, let's break it down step by step:

- Negative 2 a squared b a squared: This term remains the same in the simplified expression.

- Minus 5 a b: This term remains the same in the simplified expression.

- 3 a b squared minus b squared: This can be simplified as (3 a b squared) - (b squared) = 3 a b squared - b squared.

- 2 (a squared b 2 a b): This can be simplified as 2 (a squared b) - 2 (a b) = 2 a squared b - 2 a b.

Now, combining all the simplified terms, we have:

-2 a squared b a squared - 5 a b + 3 a b squared - b squared + 2 a squared b - 2 a b

Simplifying further, we can group like terms:

-2 a squared b + 2 a squared b - 5 a b - 2 a b + 3 a b squared - b squared

Combining like terms, we get:

0 - 7 a b + 3 a b squared - b squared

Finally, rearranging the terms in decreasing order of degree, we have:

- b squared + 3 a b squared - 7 a b

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Answer:

(n+6)(n-6)

Step-by-step explanation:

Answer:

option no. c is the correct answer.

Step-by-step explanation:

n² - 36

= ( n )² - ( 6 )²

= ( n + 6 ) ( n - 6 )

After simplification of equation √(x + 7) − 1 = x, the value of x = 2.

To find the value of x:

Check for extraneous solutions:

So,

Therefore, after simplification x = 2.

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The correct question is given below:

Simplify the square root of the quantity x plus 7 end quantity minus 1 equals x.

The result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

To calculate log4 57 to the nearest thousandth, we can use a scientific calculator or a logarithmic table.

Using a calculator, we can find the logarithm of 57 to the base 4 directly:

log4 57 ≈ 3.682

Therefore, the correct answer is option C: 3.682.

If you prefer to verify the result using logarithmic properties, you can do so as follows:

Let's assume log4 57 = x. This means \(4^x\) = 57.

Taking the logarithm of both sides with base 10:

log (\(4^x\)) = log 57

Using the logarithmic property log (\(a^b\)) = b \(\times\) log a:

x \(\times\) log 4 = log 57

Dividing both sides by log 4:

x = log 57 / log 4

Using a calculator to evaluate the logarithms:

x ≈ 3.682

Thus, the result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

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Answer: 322 cm^2

Step-by-step explanation:

easy

Answer:

659.4 cm2

Step-by-step explanation:

Answer:

4.325 meters per second squared.

Step-by-step explanation:

Fallacies of relevance are types of logical fallacies that occur when an argument is presented without a relevant connection to the subject matter.

Rather than addressing the topic, these fallacies are aimed at the listener's feelings, emotions, or biases.There are many different types of fallacies of relevance, but some of the most common are ad hominem, straw man, appeal to authority, and red herring. Ad hominem, for example, is a type of fallacy that attacks the speaker rather than addressing the argument they are presenting.. It can undermine the quality of your argument and make you seem less credible.

However, if you want to describe a time when you used these fallacies, you might think back to a situation where you were arguing with someone and felt like you were losing the argument. In this case, you might have resorted to a fallacy of relevance to try to regain control of the conversation. In conclusion, it is important to avoid using fallacies of relevance in your arguments. Instead, focus on addressing the topic at hand and presenting logical, evidence-based arguments.

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x=6 , y = 4

Step-by-step explanation:

( x-2,6)=(4,Y+2)

this means; (x-2) &( 4) stands for" x "axis.

and( 6 )& (y+2) stands for y axis.

So, we can say( x-2)=X1 & (4)=X2 , (6)=Y1 & (y+2)=Y2

then; to Solve The Equation we use The Formula: X1=X2 for "X" And Y1=Y2 for "Y".

Solution: for "X" ; X1=X2

x-2= 4

x=4+2

x=6

For "Y" ; Y1=Y2

6 = y+2

y=6-2

y=4

finally check ; ( (x-2),6) = (4,(y+2) )

(6-2),6 = (4,(4+2) )

( (4),6) = (4,(6) )

(4,6) = (4,6)

so, X1 =X2 ; 4 = 4

Y1 = Y2 ; 6 = 6

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

see below

Step-by-step explanation:

2:

# of sides = 3

# of vertices = 3

name of shape: triangle

3.

# of sides = 4

# of vertices = 4

name of shape: quadrilateral

4.

# of sides = 5

# of vertices = 5

name of shape: pentagon

5.

# of sides = 6

# of vertices = 6

name of shape: hexagon

6.

# of sides = 8

# of vertices = 8

name of shape: octagon

Answer:

Step-by-step explanation:

If Carlos is 6ft tall and looks up at the tree that is 275 ft tall, subtract those two.

275 - 6 = 269

Use tangent with the given angle and the new height. The distance is x.

tan15 = 269/x

x = 269/tan15

x = 1004ft

The distance from Carlos to the tree, given he is 6 feet tall and looks up at a 15° angle of elevation to see the top of a 275-foot tall tree located in Sequoia National Park, is 1026.

Hence option C is correct.

According to the information given,

We can set up a right triangle with Carlos's eye level, the top of the tree, And the base of the tree as the three points of the triangle.

Carlos's height of 6 feet can be used as one side of the triangle,

And we can use the tangent function to find the length of the adjacent side.

A tangent of 15 degrees is equal to the opposite side (height of the tree) divided by the adjacent side (distance from Carlos to the tree).

So, we can solve for the adjacent side by multiplying the height of the tree by the tangent of 15 degrees:

tan(15) = height of the tree / distance from Carlos to the tree

Distance from Carlos to the tree = height of the tree / tan(15)

Plugging in the values given:

Distance from Carlos to the tree = 275 / tan(15)

                                                      ≈ 1026

Therefore,

The nearest foot to the distance from Carlos to the tree is option C. 1026.

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Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

Answer:

Step-by-step explanation:

arc EF=90-20=70°

arc FDA=20°

∠ABC==180-20=160°