Jim was thinking of a number. Jim doubles it and adds 8.8 to get an answer of 81.7. Form an equation with x from the information.

Answer:

see below

Step-by-step explanation:

9x−7y=14

To find the x intercept set y = 0 and solve for x

9x = 14

Divide by 9

9x/9 = 14/9

x = 14/9

(14/9 ,0)

To find the y intercept set x = 0 and solve for y

-7y = 14

Divide by -7

-7y/-7 = 14/-7

y = -2

(0,-2)

Answer:

Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.

Recordar que para un rectángulo de largo L, y ancho W, el área es:

A = L*W

Entonces el área del piso, será:

A = 435cm*375cm = 163,125 cm^2

Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.

No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.

Dicho de otra forma

el largo, 435cm, tiene que ser múltiplo de L

el ancho, 375cm, tiene que ser múltiplo de L.

Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm

En este caso, el área de cada baldosa es:

a = L^2 = 5cm*5cm = 25cm^2

Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.

N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.

También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm

Entonces las baldosas podrían tener 15cm de lado.

En este caso, el área de cada baldosa es:

A = (15cm)^2 = 225cm

En este caso el número total de baldosas necesarias será:

N =  ( 163,125 cm^2)/(225cm^2) = 725 baldosas.

Answer:

Step-by-step explanation:

for an error. Chloe needs a 0.75 yard of fabric to make a skirt, so she cuts - 77… ... The directions on a sewing pattern say to cut a extra 15% of fabric to account for an error. Chloe needs a ... yard. Did Chloe cut the correct amount of fabric? ... No, Chloe cut only 15% of the .75 yards of fabric she needed

Answer:

The correct answer should be the first option.

Step-by-step explanation:

Answer:

First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞

Step-by-step explanation:

I graphed this function

Domain: x ∈ R

Range: y ∈ [-5, + ∞

Minimum (1, -5)

Verticle intercept (0, -4)

The methods that are fair include __A, B and C__ because __D__ is flawed due to increased chances of winning based on one's skill, ___F___ is flawed due to poor randomization, and ___E___ is flawed due to unequal probabilities of winning and losing.

Probability is a value used to measure the degree of occurrence of a random event. The word probability itself is often referred to as opportunity or possibility. Probability is generally the chance that something will happen.

The concept of probability has an important role in everyday life, starting from the scientific field, the government sector, the business or industry sector, to small issues such as entering the office or not due to thick clouds which are likely to rain heavily and flood .

In studying probability, there are three keywords that must be known namely experiments, outcomes and events or events.

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Answer:

If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.  

So firstly you have to calculate the speed of the first point, which is:  

20 miles/0.5 hour

That means: 40 miles/hour

That would be your first "speed"

Then you calculate all of them :speed1+speed2+speed3 = something.  

As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr

Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.

It is my first answer, and I hope I could help you a bit!

Sorry for the awkward English, as it is not my mother tongue.

Step-by-step explanation:

The actual roots of the function \(f(x)=10x^{3}+29x^{2} -66x+27\) are -9/2, 3/5 and 1.

Given  function \(f(x)=10x^{3}+29x^{2} -66x+27\).

Function is a relationship between two or more variables expressed in equal to form.

The roots of a polynomial function are the zeroes of the polynomial function. A polynomial function is a function that involves only non negative integer powers in an equation.

The polynomial function is given as:

\(f(x)=10x^{3}+29x^{2} -66x+27\)

factorize the above function

\(f(x)=(2x+9)(5x-3)(x-1)\)

Now put the function f(x) equal to zero.

f(x)=(2x+9)(5x-3)(x-1)

split the function means put all the expressions equal to zero as under:

(2x+9)(5x-3)(x-1)=0

solve each for the value of x

x=-9/2,x=3/5,x=1

Hence the roots of the function \(f(x)=10x^{3} +29x^{2} -66x+27\) are which are also the values of x are -9/2,3/5,1.

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Answer:

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Since the median is 18, we know that the missing number must be between 17 and 21. To find their average, we add them together and divide by 2:

(17 + 21) / 2 = 19

A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be tall and thin.

A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be tall and relatively slim.

The 95th percentile for height means the child is taller than 95% of children their age, while the 25th percentile for weight means they weigh more than 25% but less than 75% of children their age, indicating a lower weight compared to their height.

These percentiles are calculated based on growth charts, which take into account age and gender to determine typical ranges of height and weight for children.

Based on this information, we can conclude that the child is likely to be tall and relatively thin compared to other children of the same age and gender. However, it's important to keep in mind that percentiles are only one way of describing a child's growth and development, and that every child is unique.

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Count iterations of the bisection method (including initial guess) and save as A4 to determine the number of convergences.

To determine the number of iterations it took for the bisection method to converge, including the initial guess, you can count the iterations and save the count as A4. The bisection method is an iterative numerical technique used to find the roots of a function within a given interval. It involves repeatedly bisecting the interval and selecting the subinterval where the function changes sign.

By iteratively narrowing down the interval, the method converges to the root. Each iteration involves dividing the interval in half, and this process continues until the desired level of accuracy is achieved. By counting the number of iterations, including the initial guess, you can determine how many times the bisection method needed to be applied before convergence. Saving this count as A4 allows you to record the number of convergences achieved.

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Answer:

Below

Step-by-step explanation:

y = 1/2 x + 1

y = 3/2x + 4        Use first equation to sub in for y

1/2 x + 1  = 3/2 x + 4

-3 = x       then use this value in one of the equations to calc  y

y = 1/2 x + 1

y = 1/2 (-3) + 1 =  - 1/2

Answer:

R y-axis (x,y) to (-x,y)

Step-by-step explanation:

The  rule for reflection is \(r_y\) axis (x, y) -> (-x, y).

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure.

The original shape of the object is known as the Pre-Image, and the final shape and location of the object is known as the Image during the transformation.

As per the figure. the coordinates of Triangle LMN are

L(-6, 2),

M(-5, 4)

N(-3, 2)

and, the coordinates of Triangle L'M'N' are

L'(6, 2),

M'(5, 4)

N'(3, 2)

Here, the y coordinate is same only the sign of x coordinate change.

So, the rule for reflection is r y- axis (x, y) -> (-x, y).

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A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

176 children and 105 adults.

Explanation:

Let's call x the number of children and y the number of adults.

If 281 people entered the park, we can write the following equation

x + y = 281

If they collected 684 dollars, we can write the following equation

1.5x + 4y = 684

because it cost $1.5 for children and $4 for adults.

Now, we have the following system of equations

x + y = 281

1.5x + 4y = 684

First, we need to solve the first equation for y, so

x + y = 281

x + y - x = 281 - x

y = 281 - x

Then, replace this expression on the second equation

1.5x + 4y = 684

1.5x + 4(281 - x) = 684

1.5x + 4(281) - 4(x) = 684

1.5x + 1124 - 4x = 684

-2.5x + 1124 = 684

Finally, we can solve the equation for x

-2.5x + 1124 - 1124 = 684 - 1124

-2.5x = -440

-2.5x/(-2.5) = -440/(-2.5)

x = 176

So, the value of y is equal to

y = 281 - x

y = 281 - 176

y = 105

Therefore, they admitted 176 children and 105 adults.

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

Answer:

74

Step-by-step explanation:

This is called a central angle, meaning that what ever te angle measure is, is the same to its ark measure.

So to find that inside angle measure you have to subtract 360 by 286

whitch is 74

74 is your inside angle and the angle for ark AB

The relevant details from the poem and the description of how they develop the subject are:

The fact that the narrator mentions how there are a pair of them means that they are not alone. It means that just because they are a nobody does not mean that they consider themselves to be alone.

The fact that they could be banished means that being a nobody is a bad thing that warrants the punishment of being banished from the society in question.

When a person is deary, it means that they are doing something that can either bring them praise or punishment which means that being somebody can either be positive or negative so it can be a positive to be a nobody.

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Answer:

The selling price of sandals is: $32.77

Step-by-step explanation:

Mark up is the price that is added to the cost price of a product for profit.

Given

Price of sandals = $22.60

Mark up = 45%

To find the price with mark up, we will find the amount of mark up and then add it to the cost price of sandals.

\(Mark\ up = 45\%\ of\ 22.60\\= 0.45*22.60\\=10.17\)

The mark up is $10.17

Now,

\(Selling\ price = Cost + mark\ up\\= 22.60+10.17\\=32.77\)

Hence,

The selling price of sandals is: $32.77

a basis for the eigenspace corresponding to the eigenvalue λ = 1 is { [4, -2] }, and a basis for the eigenspace corresponding to the eigenvalue λ = 2 is { [0, 0] }.

To find a basis for the eigenspace corresponding to each listed eigenvalue of matrix A, we need to solve the system (A - λI)v = 0, where A is the given matrix, λ is the eigenvalue, I is the identity matrix, and v is a non-zero vector in the eigenspace.

Given the matrix A = [[11, 2], [1, 2]], we will find the eigenspaces corresponding to the eigenvalues λ = 1 and λ = 2.

1) For λ = 1:

We need to solve the equation (A - λI)v = 0.

Substituting λ = 1 and I as the 2x2 identity matrix, we have:

(A - I)v = 0

[[11, 2], [1, 2]] - [[1, 0], [0, 1]] = [[10, 2], [1, 1]]v = 0

To find the basis for the eigenspace corresponding to λ = 1, we need to solve the homogeneous system of equations:

10v₁ + 2v₂ = 0

v₁ + v₂ = 0

One solution to this system is v = [2, -1]. However, since we want a basis (more than one vector), we can multiply this solution by any non-zero scalar. Let's multiply by 2:

v₁ = 4, v₂ = -2

Therefore, a basis for the eigenspace corresponding to λ = 1 is { [4, -2] }.

2) For λ = 2:

We need to solve the equation (A - λI)v = 0.

Substituting λ = 2 and I as the 2x2 identity matrix, we have:

(A - I)v = 0

[[11, 2], [1, 2]] - [[2, 0], [0, 2]] = [[9, 2], [1, 0]]v = 0

To find the basis for the eigenspace corresponding to λ = 2, we need to solve the homogeneous system of equations:

9v₁ + 2v₂ = 0

v₁ = 0

From the first equation, we can see that v₁ = 0. Substituting this into the second equation, we have v₂ = 0 as well.

Therefore, a basis for the eigenspace corresponding to λ = 2 is { [0, 0] }.

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Answer:

5/10, 1/2, 50% and 0.5 are all correct answers in different forms.

Step-by-step explanation:

5 of the balls are basketballs or soccer balls. This is 5/10 of the balls.

To represent the hourly wage of an employee at the antique store, we can use the following equation:
y = 15 + 0.75x
where y represents the worker's hourly wage, and x represents the number of years the employee has worked at the store. In this equation, 15 is the initial hourly wage, and 0.75 is the annual raise.

The equation that shows how a worker's hourly wage, y, depends on the number of years he or she has worked at the store can be written as:

y = 15 + 0.75x

where x represents the number of years the employee has worked at the antique store.

This equation takes into account the starting wage of $15 per hour and the $0.75 raise that the employee receives each year they work at the store.

So, for example, if an employee has worked at the store for 5 years, their hourly wage would be:

y = 15 + 0.75(5) = 18.75

where y represents the worker's hourly wage, and x represents the number of years the employee has worked at the store.

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The area under the curve for the function f(x) = x2 + 2 on the interval from x = 0 to x = 3 is estimated to be 22.

The area under the curve for the function f(x) = x2 + 2 on the interval from x = 0 to x = 3 can be estimated using the rectangles provided. The first step is to find the height of each rectangle. To do this, substitute the x-value of the left side of the rectangle into the equation for f(x):

Rectangle 1: f(0) = 02 + 2 = 2
Rectangle 2: f(1) = 12 + 2 = 3
Rectangle 3: f(2) = 22 + 2 = 6
Rectangle 4: f(3) = 32 + 2 = 11

The second step is to find the area of each rectangle. Area of a rectangle is calculated as the length multiplied by the width. The width of each rectangle is 1, so the area of each rectangle is simply its height multiplied by 1.

Rectangle 1: Area = 2 x 1 = 2
Rectangle 2: Area = 3 x 1 = 3
Rectangle 3: Area = 6 x 1 = 6
Rectangle 4: Area = 11 x 1 = 11

The third step is to add up the areas of all the rectangles to get the estimated area.

Area = 2 + 3 + 6 + 11 = 22

Therefore, the area under the curve for the function f(x) = x2 + 2 on the interval from x = 0 to x = 3 is estimated to be 22.

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Answer:

x = 1/3

There is one solution

Step-by-step explanation:

3x -1= 1-3x

Add 3x to each side

3x+3x -1= 1-3x+3x

6x-1 =1

Add 1 to each ide

6x-1+1 = 1+1

6x =2

Divide each side by 6

6x/6 = 2/6

x = 1/3

There is one solution

Answer:

x = \(\frac{1}{3}\) One solution

Step-by-step explanation:

3x - 1 = 1 - 3x

Add 1 to both sides;

3x = 2 - 3x

Add 3x to both sides;

6x = 2

Divide both sides by 6;

x = \(\frac{2}{6}= \frac{1}{3}\)

One solution

Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.

The other parameters are given as follows:

\(\overline{x} = 48.5, s = 1.8, n = 225\).

Hence the bounds of the interval are given by:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7\)

The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

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The likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a sample from that population is the statistical significance