A Ricardo can paint a set of kitchen cabinet in 6 hours. His father can do it in 4 hours. How long
will a take them if they work together?


PLSSS HELPP MEE

Answer:

complet the squares

(x^2+14x)+(y^2+12y)=-60

add negative and positive 1/2 of linear coefs inside parenthaees

14/2=7, 7^2=49

12/2=6, 6^2=36

(x^2+14x+49-49)+(y^2+12x+36-36)=-60

factor perfect square

((x+7)^2-49)+((y+6)^2-36)=-60

get rid of parnthaeses

(x+7)^2-49+(y+6)^2-36=-60

(x+7)^2+(y+6)^2-85=-60

add 85 to both sides

(x+7)^2+(y+6)^2=25

B is answer

Step-by-step explanation:

To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Answer:

Step-by-step explanation:

finding the smallest possible distance from the line to the origin follows as

the normal vector=(-1,-2,1)

using direction vector we need to create the equation of the plane

-1(x-2)-2(y-3)+1(z+7)=0

we get;

-x+2-2y+6+z+7=0

-x-2y+z+13=0

x=2-t; y=2-3t; z=-7+t

on substituting;

-1(2-t)-2(3-2t)+1(-7+t)+13=0

-2+t-6+4t-7+t+13=0

we get;

t=1

so point is(1,1,-6)

distance from point to origin

d=\(\sqrt{(1^2+1^2+(-6)^2)}\)=\(\sqrt{38}\)

therefore

the answer is \(\sqrt{38}\)=6.16

Graphing the equation 3x - 2y = -6 over the range x = -10 to x = 10:

To graph the equation 3x - 2y = -6, we need to rearrange it in the form y = mx + b, where m is the slope and b is the y-intercept.

3x - 2y = -6

-2y = -3x - 6

Divide both sides by -2:

y = (3/2)x + 3

Now we have the equation in slope-intercept form.

To graph the equation, we can plot a few points and draw a line through them. Let's choose some x-values from the range -10 to 10 and find the corresponding y-values.

For x = -10:

y = (3/2)(-10) + 3

y = -15 + 3

y = -12

For x = 0:

y = (3/2)(0) + 3

y = 0 + 3

y = 3

For x = 10:

y = (3/2)(10) + 3

y = 15 + 3

y = 18

Plotting these points (-10, -12), (0, 3), and (10, 18) on the graph and drawing a line through them, we get the graph of the equation 3x - 2y = -6.

Using the graphical method to solve the pair of equations:

The given equations are:

10x = 5y

-3x + y = 1

To solve these equations graphically, we need to plot their graphs on the same coordinate plane and find the point where they intersect, which represents the solution.

Rearranging the second equation in slope-intercept form:

y = 3x + 1

Now we have the equations in the form y = mx + b.

Plotting the graphs of the equations 10x = 5y and y = 3x + 1, we can find the point of intersection, which represents the solution to the system of equations.

The point of intersection is the solution to the system of equations.

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In Fechner's Law, as one variable increases arithmetically, the other variable increases geometrically.

In Fechner's Law, as one variable increases arithmetically, the other variable increases: b. geometrically.

Fechner found in his research that different people have different sensitivities to certain stimuli. For example, the ability to see differences in light can affect the quality of a person's vision. It has also been noted that people are sensitive to changes in stimuli due to emotional impact. He used this to create another version of Weber's law, which he called die Maß formel, or "measurement formula." Fechner's law states that the force of thought is proportional to the logarithm of the force.

If the intensity of the stimulus is tripled (eg 3×1), the sensitivity doubles from its original value (eg 1+1).

If the intensity of the stimulus is tripled again (eg 3×3×1), the corresponding sensitivity will be three times its original value (eg 1+1+1).

So, for the stimulus intensity to double, the perceived intensity only increases.

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Answer:

(3,0)

Step-by-step explanation:

Answer: C. Y = 5x + 5

Step-by-step explanation:

    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.

    First, we will find our slope. We will use \(\frac{rise}{run}\) for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

     -> Slope = 5

   Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

     -> Y-intercept = 5

   Lastly, we will write our equation and decide on an answer.

y = mx + b

y = (5)x + (5)

Y = 5x + 5

             C. Y = 5x + 5

There are a total of 12 chocolate chip + 10 sugar + 18 peanut butter = 40 cookies in the sack. The probability of selecting a cookie that is not a peanut butter cookie is (12 chocolate chip + 10 sugar) / 40 = 22/40 or 0.55. So, there is a 55% chance that the selected cookie will not be a peanut butter cookie.

Answer:

0.8-0.6=0.2 or 1/5, one fifth.

Step-by-step explanation:

hope this helps

Based on Diego's normal usage of his phone, if the battery is at 75%, the phone will not last the whole trip.

First find out how long each percentage of battery life lasts:

= 15 / 100

= 0.15 hours

If Diego is going on a 12 hour trip with 75%, the length of time it would last is:

= 0.15 x 75

= 11.25 hours

This is less than the 12 hours required so the phone will not last the whole trip.

Rest of question:

At 100%, the battery can go for 15 hours.

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Answer: wyd are you mad at me

Answer: Who are

Step-by-step explanation:

Answer:

63a + 54b

Step-by-step explanation:

9 x 7 = 63

9 x 6 = 54

Answer:

98

Step-by-step explanation:

53+45=98

180-98=82

180-82=98

x=98

Answer:

x = 98

Step-by-step explanation:

Since angles of a triangle add up to 180 the other angle has to be 82.  X and angle 82 are supplementary which means they add up to 180, therefore x would be 98.

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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If the loan is repaid in 15 months, the interest on the loan is approximately $332.14.

To calculate the interest on a loan, we can use the formula:

Interest = Principal × Rate × Time

In this case, the principal (amount borrowed) is $2,750, the interest rate is 9.7% per annum (which needs to be converted to a monthly rate), and the time is 15 months.

First, we need to convert the annual interest rate to a monthly rate. Since there are 12 months in a year, the monthly interest rate is 9.7% / 12 = 0.00808 (rounded to five decimal places).

Now we can calculate the interest using the formula:

Interest = $2,750 × 0.00808 × 15

Calculating this, we find:

Interest = $2,750 × 0.00808 × 15 = $332.14 (rounded to two decimal places)

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Answer:

1 Use this rule: a-b=-(b-a)a−b=−(b−a).

-(16-2)

−(16−2)

2 Use the algorithm method.

1 6

- 2

1 4

3 After simplification, we have:

-(16-2)=-14

−(16−2)=−14

4 Therefore, 2-16=-142−16=−14.

-14

−14

for the second one

1 Collect like terms.

7x+(2+12)

7x+(2+12)

2 Simplify.

7x+14

7x+14

The probability that a randomly selected customer had at least one order in the previous month or uses express shipping is 0.9242.

Probability is a branch of mathematics that deals with the study of random events or outcomes. It is used to measure the likelihood or chance of an event occurring, ranging from impossible (0 probability) to certain (1 probability).

The basic concept of probability involves determining the ratio of the number of favorable outcomes to the total number of possible outcomes. This ratio is expressed as a fraction, decimal, or percentage.

For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2 or 0.5 or 50%, and the probability of getting tails is also 1/2 or 0.5 or 50%.

P( at least one order in the previous month or uses express shipping)

=P(at least one order in the previous month) + P(uses express shipping) - P(at least one order in the previous month and uses express shipping)

\(\frac{107+63}{211} +\frac{131}{211} -\frac{65+41}{211}\)

= 0.9242

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Tadeo volunteered for 2 hours, and Dylan volunteered for 12 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours.

Let x represent Dylan's hours and y represents Tadeo's hours. Then the equations are given as,

y = 6x                    ...1

x + y = 14               ...2

From equations 1 and 2, then we have

x + 6x = 14

7x = 14

x = 2

Then the value of 'y' is given as,

2 + y = 14

y = 12

Tadeo volunteered for 2 hours, and Dylan volunteered for 12 hours.

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In the Pythagorean theorem, a²+b²=c² is the formula for finding the missing side length in a right-angled triangle. This formula is useful for determining one of the missing side lengths of a right triangle if you know the other two.

However, the theorem also states that c is the length of the triangle's hypotenuse. So, if you have a right-angled triangle with all three sides provided, you may use the Pythagorean theorem to solve for any of the missing sides. You'll use the hypotenuse length as the c variable when the three sides are given, then solve for the missing side.

To apply the Pythagorean theorem, you must identify the hypotenuse, which is the side opposite the right angle. If you're given three sides, the longest side is always the hypotenuse. As a result, you can always use the Pythagorean theorem to solve for one of the shorter sides by using the hypotenuse length.

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Based on the provided printout, if one improves their SAT score by 100 points, their starting salary is expected to go up by approximately $6,500.

The given options suggest different amounts for the increase in starting salary corresponding to a 100-point improvement in SAT scores. Among the options, the closest value to $6,500 is option B. Therefore, the answer is B. $6,500.

It's important to note that without the actual values or specific regression equation from the printout, we cannot provide an exact amount. However, based on the given options, option B is the closest approximation to the expected increase in starting salary when the SAT score is improved by 100 points.

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Answer:

-15 + -3 = -18

Rob owes his father $18.

Step-by-step explanation:

Rob has to pay back the same amount of money that he took. Since he took 15 dollars, he has to give back 15 dollars which makes the 15 negative. The same goes for the 3 in the equation.

To find out the total amount Rob has to pay back, we have to add -15 and -3, which is -18.

Answer: x= 4/k

Step-by-step explanation:

Answer:

B.) \(\frac{4}{k}\)

Step-by-step explanation:

\(3kx+24=9kx\\3(kx+8)=9kx\\\frac{3(kx+8)}{3}=\frac{9kx}{3}\\kx+8=3kx\\(kx+8)-kx=(3kx)-kx\\8=2kx\\\frac{8}{2k}=\frac{2kx}{2k}\\\frac{4}{k}=x\)

8+9x+4(11-2x)

As a first step we are going to use distributive property of multiplication:

8+9x+44-8x

Solving ths:

52+x

Answer would be M

Answer:

The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

After solving:

(x + 9)³ = 4096

x + 9 = ∛4096

x + 9 = 16

x = 7

Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

Yes, the data give convincing evidence to support Phoebe's hunch. As the result of the test is a p-value that is 0.1 of less than 0.05.

The p-value is the probability of obtaining a result as extreme or more extreme given that the null hypothesis is true. The p-value is calculated by comparing the test statistic to the probability distribution under the null hypothesis.

The ratio of seniors bringing a bag lunch= 78/104 or 0.75,

while the ratio of sophomores bringing a bag lunch= 52/80 or 0.65.

This indicates that the proportion of seniors bringing a bag lunch is higher than the proportion of sophomores bringing a bag lunch.

Further, the difference between the proportions is

0.75-0.65 = 0.1,

which is a large enough difference to be considered significant.

The result of the test is a p-value of less than 0.05, which is statistically significant and indicates that the difference in the proportions is due to the different ages, and not due to chance.

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Answer:

Step-by-step explanation:

(-2) - 1               y2 - x2

------------                                  m = -3/-5 simplied to 3/5.

(-2) - 3             y1 - x1

5 - (-6)

-----------                                   m = 11/1 simplied to 11

5 - 4          

Lines are neither perpendicular or parallel since for parallel the lines have to have the same slope (m) and for perpendicular the lines have to have a negative recipracal.

Answer:

-19/5

Step-by-step explanation:

-31 +12 = 19....................

Answer:

4 3/5

Step-by-step explanation:

I think :))))))))))

-29/5 is rational and can be expressed as a ratio of two integers (-29 and 5).

To show that -29/5 is rational, we need to express it as a ratio of two integers.

We know that -29 is an integer and 5 is also an integer. Therefore, we can write:

-29/5 = (-29) / 5

Since both -29 and 5 are integers, their ratio is a rational number. Therefore, -29/5 is also a rational number.

Another way to see this is to note that any fraction a/b can be written in lowest terms as:

a/b = p/q

where p and q are integers with no common factors (other than 1). To find p and q, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of -29 and 5 is 1, so -29/5 is already in its simplest form.

Therefore, -29/5 is rational and can be expressed as a ratio of two integers (-29 and 5).

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