Please help with this question..

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

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When Abby's walk to Trout Street is 800 yards.

Distance is referred to as the length of a moving particle's real path. The shortest distance between a body's initial and final positions is referred to as displacement.

The distance between the segment and bottom right vertex is 800 yards.

The 1st street, Trout Street, and Salmon Street intersect at a point G.

Now, Trout street and Salmon street are at the same distance from the boardwalk.

From the figure, the distance between the boardwalk and salmon street is 800 yards.

Now the 1st street is perpendicular to line AE which is the distance between Trout street and Salmon street and hence AC = CE.

Therefore, When Abby's walk to Trout Street from the boardwalk is 800 yards.

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Answer:

2, 3

Step-by-step explanation:

When a point is reflected over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, if you reflect the point (-2, 3) over the y-axis, it will become (2, 3).

(Sorry, I tried to provide a picture but I could not.)

We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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Answer:

14

Step-by-step explanation:

so it means the opposite of negative 14 which is postive 14

Let the number of students in the class be n

Then

60% of n = 18

Therefore there are 30 students in the class

Since there are 18 girls, then there must be (30-18) boys in the class

That is there are 12 boys in the class

Answer:

your answer will be

1 -y is a variable

3- y is a term

4 -9 is a constant

6- 9 is a term

Step-by-step explanation:

if i'm wrong please correct me i hope i helped though

If the unit is changed from feet to inches, the correlation coefficient remains unchanged; equal to 0.89. Option D

We know that the correlation coefficient is the figure that shows the level of association between two variables. If the correlation coefficient is large and positive it means that there is a large degree of association between the variables.

On the other hand, if the value of the correlation coefficient is small then we know that there is only a little association between the variakes. The correlation coefficient would not change even if the units of the measurements change.

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Answer:

Step-by-step explanation:

subtrct 2 from every x co-ordinate and add 7 to every y co-ordinate.

Student unresponsive. Information incomplete.

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

Step-by-step explanation:

The above statement is written as

\( \frac{2}{3} x - \frac{1}{5} > 1\)

Multiply through by the LCM of 3 and 5 which is 15

So we have

\(15 \times \frac{2}{3} x - 15 \times \frac{1}{5} > 15 \\ \\ 10x - 3 > 15 \\ \\ 10x > 15 + 3 \\ \\ 10x > 18 \\ \\ x > \frac{18}{10} \\ \\ x > \frac{9}{5} \)

Hope this helps you

Answer: The answer is x > 9/5.

     Hope this helps!! Also please put as brainlist answer really need it would really aprecite it please.

Answer:

This is an example of systematic sampling, which is a valid sampling method if the ordering of the individuals in the population does not affect the results. However, it may not be a representative sample if there is any pattern or bias in the order of the individuals.

Using the given information, we can estimate the proportion of people who have used their price plus card as:

38/50 = 0.76

Therefore, we can expect that approximately 0.76 of the 800 people in the store would be using their price plus card:

0.76 x 800 = 608 people.

Answer:

Yes

608 people

Step-by-step explanation:

800 × 38 =30400

30400 ÷ 50 =608

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Answer:

Domain:  \((-\infty,\infty)\)

Step-by-step explanation:

The domain of a function is all values of x such that f(x) exists.

In our case we have the following function:

\(f(x)=x^{3}-5x+3\)

We know that x and f(x) are real numbers, therefore the domain will be the interval \((-\infty,\infty)\), or in other words, the domain is all real numbers.

I hope it helps you!

Answer:

37.625 square yards or 37⅝ square yards

Step-by-step explanation:

Area of the triangle = ½*base*height

Where,

base = 10¾ yd = 10.75 yds

height = 7 yds

Substitute the value of each variable into the equation:

Area = ½*10.75*7

Area = 37.625 square yards or 37⅝ square yards

Answer:

1.5s - 0.5

Step-by-step explanation:

-2.9a + 6.8 + 4.4a - 7.3

6.8 - 7.3 = -0.5

-2.9a + 4.4a = 1.5a

1.5s - 0.5

Answer:

1.5a

Step-by-step explanation:

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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The unit cost C depends on the number of engines made. If x engines are made, then the unit cost is given by the function:

C(x)=0.2x²+ 248x +21,748 is $12917, which is the minimum unit cost.

Unit cost, also known as the break-even point, is the lowest price at which a company must sell a product to avoid losses. For example, a product with a breakeven unit cost of $10 per unit must sell above that price. Revenues above this price constitute the company's profit.

The calculates the unit cost of production as the break-even point. This cost constitutes the base price that the company uses to determine its market price.

In general, a unit must sell for more than its unit cost to generate a profit. For example, a company manufactures 1,000 units of a product that costs $4 each and sells them for $5 each. The profit is $5 minus $4, or $1 per unit of income. If a unit is priced at $3 per unit, there is a loss because $3 minus $4 (cost) is a loss of $1 per unit.

By the definition of average cost, we know it is the ratio of the total cost to the number of manufactured products. The total cost here is also termed as unit cost, which is equal to the sum of fixed cost and variable cost.

Hence, Average cost = Total cost/Number of units

                                    =  (Fixed cost + Variable cost)/Number of units.

According to the Question:

The minimum unit cost is $12197.

Take the derivative and set = 0  solve for x

C'(x) = 2x -360 = 0

x = 180 engines

C(180)  = (180)² -360(180) + 44,597

           = 44,597 - 32400

           = $12,197  minimum cost.

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The result of the given expression in word is 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power

The standard scientific notation is expressed as A * 10^n

where

A is any real number between 1 and 10

n is any integer

Given the following expression

(1.5⁵/0.7⁴)³

Simplify to have:

(1.5⁵/0.7⁴)³ = (1.5⁵)³/(0.7⁴)³

Expand

In order to expand, we will multiply the exponent together to have;

(1.5⁵)³/(0.7⁴)³ = 1.5¹⁵/0.7¹²

Hence the result of the given expression in word is 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power

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Answer:

square = a=x^2 x= one of the sides of the square

triangle= a\(=\frac{1}{2}bh\) b=base h=height

circle = a=πr² π = pi r=radius

rectangle a = l * w l=length w=width

Step-by-step explanation:

hope this helps (:

The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Therefore , the solution of the given problem of function comes out to be h(x) = 0 is the only quadratic function with zeros at -3 and -6.

Mathematics includes the study of arithmetic, integers and their subtypes, as well as the anatomy, forms, and both actual and fictitious locations of the area. A function explains the relationships between different variables, each of which has a corresponding outcome. A function is made up of a variety of components that, when put together, produce a unique output with each input.

Here,

The quadratic function can be written in factored form as follows if the zeros are -3 and -6:

=> h(x) = a(x + 3)(x + 6)

=> h(-4.5) = a(-4.5 + 3)

=> (-4.5 + 6) = a(1.5)(1.5) = 2.25a

We can assign h(-4.5) to 0 and find "a" because the quadratic function's maximum value is 0 (since the zeros are -3 and -6).

=> 0 = 2.25a

=>a = 0

The cubic function of h(x) is thus

=> h(x) = 0

=> (x + 3)

=> (x + 6) = 0

In other terms, the constant function h(x) = 0 is the only quadratic function with zeros at -3 and -6.

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Variance  of customers who pay by card = 16

Mean number of customers = 20

Given that,

Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with

P(A)=0.4,

P(B)=0.2,

and

P(C)=0.4

Because we are interested in whether or not a debit card was used, we can use the binomial distribution.

Let X= the number of customers who use a debit card.

Here, probability of customers who pay with debit card (or success) is

p=0.2

(a) Mean and variance of the number of customers who pay with a debit card:

The mean number of customers who pay with a debit card can be calculated as given below:

μ=np =100×0.2

=20

The variance of the number of customers who pay with a debit card can be calculated as given below:

σ²=np(1−p) =100×0.2(1−0.2)

=16

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Answer: 1238.916

Step-by-step explanation:

A = (Bh)/3

B = 14.7 x 14.7

The area of a pyramid is the formula at the top. B in the formula at the top is the Base. The reason it is capitalized is because B is also a formula. You need to find the area of the base of the pyramid and plug it into the equation. It this case, the base is equal to the second equation above.

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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GCF = 14

GCF Stands as greatest common factor.

The greatest common factor (GCF) of a set of whole numbers which  is the largest positive integer that divides evenly into all numbers with zero remainder.

factor of 14 are = 1, 2, 7, 14

factor of 42 are = 1, 2, 3, 6, 7, 14, 21, 42

as per above factors, the greatest factor concluded is 14.

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Complete Question

In 2015 as part of the General Social Survey, 1127 randomly selected American adults responded to this question: “Some countries are doing more to protect the environment than other countries. In general, do you think that America is doing more than enough, about the right amount, or too little?” Of the respondents, 514 replied that America is doing about the right amount. What is the 95 % confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment.

Answer:

The 95% confidence interval is   \( 0.427  <  p <  0.4852 \)  

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1127

    The number that America is doing the about the right amount is k =  514

 Generally the sample proportion of the number that say america is doing about the right amount is mathematically represented as

              \(\^ p = \frac{k}{n}\)

=>          \(\^ p = \frac{514 }{ 1127}\)

=>          \(\^ p = 0.4561\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>   \(E =  1.96 * \sqrt{\frac{ 0.4561  (1- 0.4561)}{1127} } \)

=>   \(E =  0.0291  \)

Generally 95% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>   \( 0.4561 -0.0291  <  p <  0.4561 +0.0291 \)

=>   \( 0.427  <  p <  0.4852 \)