4x + 6 = 8x – 10 graphing

An equation to represent the relationship is y=15x.

What is linear equation ?

Linear equation can be defined as the equation in which highest degree is one.

Given ,

The table represents a proportional relationship.

So we have to write an equation to represent the relationship

Given,

Time that is

x = {5,8,12 }

Distance that is

y = {75,120,180}

so here from the given table,

75 = 15*5

120 = 8*15

180 = 12*15

hence , it is in the form of y = 15x.

Therefore, An equation to represent the relationship is y=15x.

To learn more about Linear equation from the given link.

https://brainly.com/question/29739212

#SPJ1

ANSWER

One carton

EXPLANATION

First, we have to find the total volume of ice cream of 100 scoops. Let's assume that the scoops are perfect spheres, whose radius is 3 cm. The volume of each scoop is,

Now, to find what is the total volume of ice cream in 100 scoops, we have to multiply the volume of one scoop by 100,

We know that the ice cream comes in cylindrical cartons, so we have to find the volume of ice cream each carton contains, if the radius is 11 cm and the height is 30 cm,

Note that the volume of one carton of ice cream contains 30π cm³ more volume of ice cream than the volume in 100 scoops. This means that one carton will be enough to serve 100 scoops of ice cream - and there will be a little less than one scoop left.

groceries has a higher population mean annual credit card charge

What is population mean?

A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

Given that Bank of America’s Consumer Spending Survey collected data on annual credit card  charges in seven different categories of expenditures: transportation, groceries, dining out,  household expenses, home furnishings, apparel, and entertainment (US Airways Attache,  December 2003).

Sample size n =42

Mean difference d = 850

Std dev s = 1125

Point estimate of the difference is 0

95% confidence level would be

= 0A ± tcritical * stderrror

=  A ± 2.021*173.59

= (-350.83 , 350.83)

Learn more about Population mean at :

https://brainly.com/question/28103278

#SPJ4

the only critical number for function f(t) = √(t)(1-t) where t > 0 is t = 1/3.

To find the critical numbers for\(f(t) = \sqrt(t)(1-t)\)where t > 0, the first step is to take the derivative of the function. This will give us f'(t) = (1/2√(t))(1-t) - (√(t))(1). Simplifying this expression, we get \(f'(t) = (1/2)\sqrt(t))(1-3t).\)
Next, we need to find the values of t where f'(t) = 0 or is undefined. Since t > 0, we can only have f'(t) undefined if t = 0. However, this value is not in the domain of the original function, so we can disregard it.

Setting f'(t) = 0, we get\((1/2\sqrt(t))(1-3t) = 0,\)which means that 1-3t = 0 or t = 1/3.

Therefore, the only critical number for f(t) = √(t)(1-t) where t > 0 is t = 1/3.

learn more about critical number

https://brainly.com/question/29743892

#SPJ11

the only critical number for function f(t) = √(t)(1-t) where t > 0 is t = 1/3.

To find the critical numbers for\(f(t) = \sqrt(t)(1-t)\)where t > 0, the first step is to take the derivative of the function. This will give us f'(t) = (1/2√(t))(1-t) - (√(t))(1). Simplifying this expression, we get \(f'(t) = (1/2)\sqrt(t))(1-3t).\)
Next, we need to find the values of t where f'(t) = 0 or is undefined. Since t > 0, we can only have f'(t) undefined if t = 0. However, this value is not in the domain of the original function, so we can disregard it.

Setting f'(t) = 0, we get\((1/2\sqrt(t))(1-3t) = 0,\)which means that 1-3t = 0 or t = 1/3.

Therefore, the only critical number for f(t) = √(t)(1-t) where t > 0 is t = 1/3.

learn more about critical number

https://brainly.com/question/29743892

#SPJ11

Answer:

y = 5 - 2x

Step-by-step explanation:

Answer:

y=5-2x

Step-by-step explanation:

\(3y = 15 - 6x\)

\(y = \frac{15 - 6x}{3} \)

if you divided it

\(y = 5 - 2x\)

i think this is the answer

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

More can be learned about absolute value functions at brainly.com/question/3381225

#SPJ1

When the shape in the diagram rotates about the dashed line, shape 3, which is a cone with a cylindrical neck, forms a vertical section of a funnel. The correct answer is (C) Shape 3.

If the shape in the diagram rotates about the dashed line, the solid of the revolution formed will be a vertical section of a funnel, which corresponds to shape 3.

Shape 1 is a flat-top cone, which means it has a pointed top and a flat circular base. Rotating it about the dashed line would result in a solid with a pointed top and a flat circular base, resembling a cone. This does not match the description of a funnel, so shape 1 is not the correct answer.

Shape 2 is described as a 3D hexagon with a cylindrical hexagon on its top. Rotating it about the dashed line would not create a funnel shape but a more complex structure, which does not match the given description.

Shape 3 is a cone-shaped body with a cylindrical neck. When this shape is rotated about the dashed line, it will create a solid with a funnel-like shape, with a pointed top and a wider base. This matches the description provided, making shape 3 the correct answer.

Shape 4 is described as a 3D circle with a cylinder on top. Rotating it about the dashed line would not create a funnel shape, but rather a cylindrical shape with a circular base. In conclusion, the correct answer is C. Shape 3.

For more questions on cylindrical hexagons, click on:

https://brainly.com/question/32439207

#SPJ8

Stephen Dubner and Steven Levitt are the authors of the essay, and as they develop their essay, they use a great deal of quantification.

The following are three specific examples that they used: They write, "If a martini is made with 4 ounces of gin, that’s 2.8 standard drinks. "They also said, "Let's consider the five most unsafe hours for driving, which are Saturday and Sunday mornings from 1 am to 6 am. In the middle of this time period, 3 am on Saturday morning, the likelihood of an accident is three times higher than at noon on a weekday. "In another instance, they note that "The average person who has been murdered has approximately 300 friends and relatives, which means that a homicide victim’s personal network is quite extensive. "The authors use these specific numbers to make their argument more convincing. Using quantification provides an air of authority to the author's claims. By providing specifics, the author can communicate more information than would otherwise be possible.

To know more about argument refer here:

https://brainly.com/question/27100677

#SPJ11

Answer:

70

Step-by-step explanation:

she burns 250 calories per hour .to burn 3500 calories and shed 1 pound she has to work 14 hours and to shed 5 pounds she has to work 14×5=70 hours

The identity S curl F · dS = 0 holds, given the conditions of the Divergence Theorem and the assumption of continuous second-order partial derivatives for the scalar functions and components of the vector fields.

The identity S curl F · dS = 0 can be proven using the Divergence Theorem and the assumption of continuous second-order partial derivatives.
The Divergence Theorem states that the flux of a vector field through a closed surface S is equal to the triple integral of the divergence of the vector field over the region enclosed by S. Mathematically, it can be written as:

∫∫(curl F) · dS = ∫∫∫(∇ · curl F) dV,

where ∇ is the del operator, curl F is the curl of vector field F, dS is the outward-pointing differential surface element, and dV is the differential volume element.

If we assume that the scalar functions and components of the vector fields have continuous second-order partial derivatives, then we can apply the Divergence Theorem.

Since the curl of F is a vector field, its divergence (∇ · curl F) is a scalar function. According to the Divergence Theorem, if the surface S is closed (i.e., it encloses a region), the flux of curl F through S is equal to the triple integral of the divergence of curl F over the region enclosed by S.

However, in this case, S is not closed but instead represents an open surface. Since the Divergence Theorem is not applicable to open surfaces, we cannot directly equate the flux of curl F through S to the triple integral of the divergence of curl F over the region enclosed by S.

Therefore, we cannot conclude that S curl F · dS equals zero based solely on the conditions of the Divergence Theorem and the assumption of continuous second-order partial derivatives.

For more questions like Divergence Theorem click the link below:

https://brainly.com/question/31272239

#SPJ11

Answer:

im too late

Step-by-step explanation:

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

Step-by-step explanation:

https://quickmath.com/

https://www.cymath.com/

Answer:

I believe it is the parent function

Vector data model utilizes points, lines and polygons to represent the real-world features.

Therefore, the answer is 'True'.

Geographic data can be represented by two types of models - the raster data model and the vector data model.

The vector data model is predicated on the notion that discrete objects, such as trees, rivers, lakes, etc., make up the surface of the world. Clearly defined point, line, and polygon features are used to depict objects. X, Y coordinate pairs that refer to a location in the physical world are used to define feature borders.

A single x, y coordinate pair serves to define a point. Two or more sets of x, y coordinates are used to define lines. Lines that intersect to form polygon boundaries define polygons. Every feature in the vector data format has a special number identification that is kept in an attribute table along with the feature record.

To know more on geographic data models

https://brainly.com/question/17094512

#SPJ4

Answer:

Step-by-step explanation:

The two sides opposite the angles marked as equal are themselves equal

4x + 8 = 48 - x                 Add x to both sides

4x + x + 8 = 48                Combine

5x + 8 = 48                      Subtract 8 from both sides.

5x + 8 - 8 = 48 - 8           Combine

5x = 40                            Divide by 5

5x/5 = 40/5

x = 8

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

A. Negative

Step-by-step explanation:

This line cannot have a slope of zero or undefined because it's a linear negative line. This line is not positive because it's not heading to the right, it's heading to the left which is the negative side, the slope Rise/Run goes up 1 and left 1, which means the slope for this equation is possibly -1x.

Answer:

Negative

Step-by-step explanation:

We can see that as x increases, y decreases. Therefore, the change in y over the change in x is negative. The line goes down from left to right.

Answer:

18

Step-by-step explanation:

Take the original price and multiply by the percent

45*60%

45*.60

27  - this is the amount of the reduction

Subtract this amount from the original price to get the new amount

45-27

18 - this the new price

There is only one child in the park who does not like to play either cricket or football or soccer.

Additionally, you should ignore any typos or irrelevant parts of the question .Here's how you can solve the given problem :Given that ,In a park, 25 children play every day in the evening.

12 children like to play cricket.8 children like to play football.4 children like to play soccer.Total children who like to play either of these three sports = \(12 + 8 + 4 = 24.\)

Therefore, the number of children who do not like to play any of these sports = Total number of children - Number of children who like to play any of these sports= \(25 - 24= 1\).

for such more questions on random variables

https://brainly.com/question/17217746

#SPJ11

Answer:

b,c,d,f

Step-by-step explanation:

\(perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\\)

Answer:

9 years

Step-by-step explanation:

Simple interest for any amount p is given by

SI = P*R*T/100

where R is the rate of interest

T is the time period in years

given

P =$1500

R = 4%

T we have to find

SI = $540

Thus, putting the given value in SI = P*R*T/100

540 = 1500*4*T/100

T = 540*100/1500*4 = 9 years

Thus, It will take 9 years for Sam to earn $540

Answer:The awnser Is this

Positive Roots: 2 or 0

Negative Roots: 1

Answer:

Step-by-step explanation:

3x + 1 = 7 - 3x

3x + 3x = 7 - 1

6x = 6

x = 6/6

x = 1

Answer:

x=1

Step-by-step explanation:

1) 3x+1=7-3x

2) 6x+1=7

3) 6x=6

4) x=1

The solution to the equation in this problem is given as follows:

y = -4.

The equation for this problem is defined as follows:

\(\frac{y - 6}{y^2 + 3y - 4} = \frac{2}{y + 4} + \frac{7}{y - 1}\)

The right side of the equality can be simplified applying the least common factor as follows:

[2(y - 1) + 7(y + 4)]/[(y + 4)(y - 1)] = (9y + 26)/(y² + 3y - 4)

The denominators of the two sides of the equality are equal, hence the solution to the equation can be obtained equaling the numerators as follows:

9y + 26 = y - 6

8y = -32

y = -32/8

y = -4.

More can be learned about the solution of an equation at https://brainly.com/question/22688504

#SPJ1

The approximate values of y at x = 0.1, 0.2, 0.3, 0.4, and 0.5 using Euler's method with a step size of h = 0.1 are: y(0.1) ≈ 5.41 and y(0.2) ≈ 4.889

To approximate the solution to the initial value problem using Euler's method with a step size of h = 0.1, we can follow these steps:

1. Define the differential equation: dy/dx = x - y.

2. Set the initial condition: y(0) = 6.

3. Choose the step size: h = 0.1.

4. Iterate using Euler's method to approximate the values of y at x = 0.1, 0.2, 0.3, 0.4, and 0.5.

Let's calculate the approximate values:

For x = 0.1:

dy/dx = x - y

dy/dx = 0.1 - 6

dy/dx = -5.9

y(0.1) = y(0) + h * (-5.9)

y(0.1) = 6 + 0.1 * (-5.9)

y(0.1) = 6 - 0.59

y(0.1) = 5.41

For x = 0.2:

dy/dx = x - y

dy/dx = 0.2 - 5.41

dy/dx = -5.21

y(0.2) = y(0.1) + h * (-5.21)

y(0.2) = 5.41 + 0.1 * (-5.21)

y(0.2) = 5.41 - 0.521

y(0.2) = 4.889

For x = 0.3:

dy/dx = x - y

dy/dx = 0.3 - 4.889

dy/dx = -4.589

y(0.3) = y(0.2) + h * (-4.589)

y(0.3) = 4.889 + 0.1 * (-4.589)

y(0.3) = 4.889 - 0.4589

y(0.3) = 4.4301

For x = 0.4:

dy/dx = x - y

dy/dx = 0.4 - 4.4301

dy/dx = -4.0301

y(0.4) = y(0.3) + h * (-4.0301)

y(0.4) = 4.4301 + 0.1 * (-4.0301)

y(0.4) = 4.4301 - 0.40301

y(0.4) = 4.02709

For x = 0.5:

dy/dx = x - y

dy/dx = 0.5 - 4.02709

dy/dx = -3.52709

y(0.5) = y(0.4) + h * (-3.52709)

y(0.5) = 4.02709 + 0.1 * (-3.52709)

y(0.5) = 4.02709 - 0.352709

y(0.5) = 3.674381

Therefore, the approximate values of y at x = 0.1, 0.2, 0.3, 0.4, and 0.5 using Euler's method with a step size of h = 0.1 are:

y(0.1) ≈ 5.41

y(0.2) ≈ 4.889

Visit here to learn more about Euler's method brainly.com/question/30699690

#SPJ11

The distribution of the data is skewed right, which means that the data is not evenly distributed across the range of values.

To calculate the skewness, we can use the formula Skewness = (Mean - Mode) / Standard Deviation. In this case, the mean is 599.2 seconds, the mode is 590 seconds, and the standard deviation is 110.88 seconds. Plugging these values into the formula, we get Skewness = (599.2 - 590) / 110.88 = 0.8094. This indicates that the data is skewed right, as the skewness is greater than 0. A right-skewed distribution typically occurs when the majority of data points are closer to the minimum value, while there are fewer data points near the maximum value. This can be seen in the graphical summary, where the majority of the data points are clustered around the lower end of the range and the tail extends to the right.

Learn more about distribution here:

https://brainly.com/question/29062095

#SPJ4

Reduced by 20% means it is on sale for 80% of the original price ( 100% - 20% = 80%)

Multiply the original price by 80%

36 x 0.8 = 28.80

The sale price is £28.80