Determine whether the lines are parallel, perpendicular, or neither.
9x + 3y = 12
24x + 8y = 35

4  19/27

x = 2 1/3 - 2

= 1/3

x³ + 6x² + 12x =

= (1/3)³ + 6(1/3)² + 12(1/3)

= 1/27 + 6×1/9 + 12×1/3

= 1/27 + ⁹⁾2/3 + ²⁷⁾4

= (1 + 18 + 108)/27

= 127/27

= 4  19/27

Answer:

\( \boxed{ \sf{1. \: \: \: \: 46.67}}\)

\( \boxed{ \sf{2. \: \: \: \: 41.67\%}}\)

\( \boxed{ \sf{3. \: \: \: \: 0.375}}\)

\( \boxed{ \sf{4. \: \: \: \: 120}}\)

Step-by-step explanation:

1. Let the number be x

\( \sf{15\% \: of \: x = 7}\)

\( \dashrightarrow{ \sf{ \frac{15}{100}x = 7}} \)

\( \dashrightarrow{ \sf{0.15x = 7}}\)

\( \dashrightarrow{ \sf{x = \frac{7}{0.15}}}\)

\( \dashrightarrow{ \sf{46.67}}\)

-------------------------------------------------------------

2. Let the percent be x %

\( \sf{x\% \: of \: 60 = 25}\)

\( \dashrightarrow{ \sf{ \frac{x}{100} \times 60 = 25}}\)

\( \dashrightarrow{ \sf{ \frac{60}{100}x = 25}} \)

\( \dashrightarrow{ \sf{0.6x = 25}}\)

\( \dashrightarrow{ \sf{x = \frac{25}{0.6} }}\)

\( \dashrightarrow{ \sf{41.67\%}}\)

-----------------------------------------------------------

3. \( \sf{0.15\% \: of \: 250}\)

\( \dashrightarrow{ \sf{ \frac{0.15}{100} \times 250}}\)

\( \dashrightarrow{ \sf{0.375}}\)

----------------------------------------------------------

4. Let the number be x

\( \sf{250\% \: of \: x = 300}\)

\( \dashrightarrow{ \sf{ \frac{250}{100} \times x = 300}}\)

\( \dashrightarrow{ \sf{2.5x = 300}}\)

\( \dashrightarrow{ \sf{x = \frac{300}{2.5} }}\)

\( \dashrightarrow{ \sf{x = 120}}\)

Hope I helped!

Best regards! :D

Answer:

a. $131.93

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge

Answer: A

Step-by-step explanation:

The coefficient of each x of each equation is the slope of that equation. So, you can find the slope of the lines.

For the red line, you see the line passes the (0, 2) point. It also passes (-4, -1). Since you have two points, you can find the slope. The slope is (y2-y1)/(x2-x1). Plugging these in, you get (-1-2)/(-4-0), which results in a slope of 3/4.

Now for this line, you can find the y-intercept to find the equation, which is where the line touches the y axis. This point is (0, 2). So, the equation for the red line is y = 3x/4 + 2, which is option A.

You don't need to find the equation for the blue line since all the other answers are incorrect.

Answer:

x=y+1,y=y

Step-by-step explanation:

The probability that a single randomly selected value is more than 987 dollars is 0.5664

We know that probability is defined as the ratio of number of favorable outcomes to the total number of outcomes.

We know very well that z-value is calculate by the formula

z = (X-μ) / σ/√n

where z is the z-value,

X is randomly selected value,

μ is standard mean

σ is standard deviation and

n is the sample size.

For, X=987

=>z = (987-1037) / (243/√69)

=>z= -50 / (243 / 8.33)

=>z = -50 / (29.171)

=>z= -1.714

Now, we need to find the probability of A>987,so,we need to find what is the probability of A<=987.

P(X>987)= 1-P(X≤987)

=>P(X>987)=1-P(z<(-1.714))

Using the z-table ,we get that P(z<(-1.714))=0.43353

Therefore, P(X>987)=1-0.43353=0.5664

Hence, required probability is 0.5664

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(Complete question) is:

CNNBC recently reported that the mean annual cost of auto insurance is 1037 dollars. Assume the standard deviation is 243 dollars. You take a simple random sample of 69 auto insurance policies. (Do not use tables unless directed to do so.)

Find the probability that a single randomly selected value is more than 987 dollars. P(Â > 987).Enter your answers as numbers accurate to 4 decimal places.

Answer:

The value of \(x=11\)

Step-by-step explanation:  Simplify the equation  \((4x+8) + (3x+7) = 92\)  

To simplify take the common factors and solve them

So, 4x and 3x, then 8 and 7.  \(4x + 3x = 7x \\8 + 7 = 15\)

Now put 7x and 15 in the equation.   \(7x + 15 = 92\)

Now simply this equation.     7x + 15 = 92

                                                     - 15 = -15

cross out 7 to get x                7x         =  77    divide 77 and 7

                                                7               7    

                                                 x           = 11

To check work just replace the x with eleven to solve the equations and add the result to see if it equals 92

(4(11)+8) + (3(11)+7) = 92

(4 x 11 = 44 +8) = 52           52

+ (3 x 11 = 33 + 7) = 40     + 40

                                         = 92

So that means x is 11

Answer: -2,2

Step-by-step explanation:

(a) To calculate the area surrounding the swimming pool, we need to consider the width of the cement around all sides of the pool. Since the cement has a uniform width of 4m on all sides, we need to add 4m to the length and width of the pool.

The length of the pool with the surrounding cement is 10m + 2(4m) = 10m + 8m = 18m.

The width of the pool with the surrounding cement is 5m + 2(4m) = 5m + 8m = 13m.

The area surrounding the swimming pool is the difference between the area of the larger rectangle (with the cement) and the area of the pool itself.

Area surrounding pool = Area of larger rectangle - Area of pool

= (18m) x (13m) - (10m) x (5m)

= 234m² - 50m²

= 184m².

(b) The cost to install the cement is determined by multiplying the area surrounding the pool by the cost per square meter, which is $50.

Cost to install cement = Area surrounding pool × Cost per square meter

= 184m² × $50/m²

= $9,200.

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A p-chart is used to monitor the fraction defective.

A p-chart is a type of control chart used to monitor the proportion of nonconforming units in a sample. It is used when the sample size is constant and the process is in statistical control.

It plots the proportion of nonconforming units in each sample on the y-axis and the sample number on the x-axis.

The chart can be used to detect changes in the process and to determine if the process is in control. It can also be used to estimate the process capability and to identify the causes of nonconformities.

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The sum of the expressions 2x/5 + 5/8 + x/5 - 1/4 is option b) 3x/8 + 3/8

Here we have 2x/5 + 5/8 + x/5 - 1/4

Now since we have constants as well as variables here, to add these up, we will add the constants and variables separately.

The constants are the ones with just numbers, while the variables are those terms that have the term x with them.

Hence adding up the constants will give us

5/8 - 1/4

The LCM of denominators 8, and 4 is 8

Hence, we get

5/8 - 2/8

= 3/8

Now adding the variable gives us

2x/5 + x/5

= 3x/5

Hence the sum is

3x/5 + 3/8

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Complete Question

2x/5 + 5/8 + x/5 - 1/4

a) 3x/5 + 1/8

b) 3x/5 + 3/8

c) 3x/5 + 5/8

d) 3x/5 + 7/8

It is not equal to any of the options listed: three-fifths x 1/8, three-fifths x 3/8, three-fifths x 5/8, or three-fifths x 7/8.

The expression

(2/5 * 5/8) + (1/5 * x - 1/4)

can be simplified as follows:

2/5 * 5/8 = 1/8

1/5 * x - 1/4 = (1/5 - 1/4) x = -3/20 x

So the expression becomes

1/8 + (-3/20 x) = (1/8 - 3/20 x).

This is not equal to any of the options listed: three-fifths x 1/8, three-fifths x 3/8, three-fifths x 5/8, or three-fifths x 7/8.

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Given the expression;

a+(b-c)²​

Given the values

a = 2

b = 3

c = -2

To eveluate the expression, we will have to substitute the given values into the expression as shown;

= 2+(3-(-2))²

​

= 2+(3+2)²

= 2+(5)²

= 2 + 25

= 27

Hence the value of the expression is 27.

Answer:

w = 19

Step-by-step explanation:

w = 4 + 3p

w = 4 + (3 x 5) since p = 5

w = 4 + (15)

w = 19

Answer:

w = 19

If the equation is w = 4 + 3p, we can substitute the 'p' for five.

To solve for w, we need to first solve 3 times 5.

Now, just solve.

Therefore if p = 5, w = 19.

Answer:

68 000

Step-by-step explanation:

When we round to the nearest thousand, we have to look which thousand is closer to the value. So in our case 67795 is 205 away from 68 000 and is 795 away from 67000. From this we know that 68 000 is closer, therefore if we round 67 795 to the nearest thousand we will get 68 000.

1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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Answer:

four hundred ninety billion

Step-by-step explanation:

since there are 12 months in a year you need to divide 5.88 trillion by 12

Hope this helps!! Pls mark me brainliest!!

Answer:

X<-2

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

1. Write equation

4-2x>8

2. Combine like terms

-2x>4

3. Divide(and switch ineqaulity sign because the coefficent is negative)

-2x<4

x<-2

Answer:

Step-by-step explanation:

meow goofy kid

By applying online survey method concept, it can be concluded that the company is using reward in the form of a $2.00 payment and an incentive by telling the readers that his or her input will make a difference (option D).

Online survey is a common survey method used by companies to gather data from a sample of the population.

Response rate is defined by the percentage of persons asked to answer a survey who actually answer the survey.

The company is using an online survey to allow them to reach a larger sample of people and gather data more efficiently.

However, by offering a small reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference, the company is hoping to increase the response rate and get more accurate results from the survey.  (option D)

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Full question:

Suppose you are reading an article online when the following text appeared in a popup window:

"Would you be interested in participating in a short health-related survey? If you qualify and complete this survey, you will receive $2.00".

What tactic is being used to increase the response rate for this survey? A. The company is selecting people randomly.

B. The company is using an online survey.

C. The company is using callbacks.

D. The company is using a reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference

Using Rodrigues formula, we can find P4(x) = (1/16)(35x⁴ - 30x² + 3) and verify that it satisfies dθ/d(sinθ dθ/dP) = -l(l+1)sinθP for l = 4, where x = cosθ.

Rodrigues formula provides a method to compute the associated Legendre polynomials. For a given value of l, the formula is given by:

\(P_l\) (x) = (1/(\(2^l\) * l!))(\(d^l\) /\(dx^l\) )(x² - 1)\(^l\)

To find P4(x), we substitute l = 4 into the formula:

\(P_4\) (x) = (1/(2⁴ * 4!))(\(d^4\)/dx⁴)(x² - 1)⁴

Simplifying, we obtain:

\(P_4\) (x) = (1/16)(d⁴/dx⁴)(x² - 1)⁴

To compute the fourth derivative, we expand (x² - 1) u⁴sing the binomial theorem. After differentiation, we obtain:

\(P_4\)  (x) = (1/16)(35x⁴ - 30x² + 3)

Now, we need to verify that P4(x) satisfies the differential equation:

dθ/d(sinθ dθ/dP) = -l(l+1)sinθP

Substituting l = 4 and x = cosθ, the equation becomes:

dθ/d(sinθ dθ/dP) = -4(4+1)sinθP

Simplifying further, we have:

dθ/d(sinθ dθ/dP) = -20sinθP

Differentiating P4(x) with respect to θ and applying the chain rule, we find:

dθ/dP4(x) = dθ/dP4(cosθ) = -sinθ(dθ/dx)dP4/dx

Substituting x = cosθ and dP4(x)/dx from the derived expression, we get:

dθ/d(sinθ dθ/dP) = -20sinθP4(x)

Hence, we have shown that P4(x) = (1/16)(\(35x^4\) - \(30x^2\) + 3) satisfies the given differential equation for l = 4.

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The mean of the data is 41.7, the median is 41.9 and the mode of the data is 42.9.

Here,

We have,

In mathematics, the three main methods for indicating the average value of a set of integers are mean, median, and mode. Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

The mean is given as:

mean = summation of the frequency / total frequency

mean = 3708/89 = 41.66

The median of the given data is the central value.

In the given data median is the mean of the ages between 56 and 57.

Median = 45 + (89/2) - 59 / 23  * (5)

Median = 41.9

The mode is given for the data having the highest frquency.

The highest frequency is observed at 40-----44:

Mode = 40 + (28 - 21) / (56 - 21 - 23) (5)

Mode = 42.9

Hence, the mean of the data is 41.7, the median is 41.9 and the mode of the data is 42.9.

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Choice B could be represented by a linear equation. In this choice, the amount of money increases by $5.00 each day. We can represent this relationship with the equation y = mx + b, where y is the amount of money, x is the number of days, m is the rate of increase (slope), and b is the initial amount.

In this case, the equation would be y = 5x + 5, where 5x represents the additional $5.00 added each day and the initial amount of $5.00 is represented by the constant term 5.

Choice A, on the other hand, doubles the amount of money each day. This does not follow a linear pattern, as the rate of increase is not constant. Instead, it follows an exponential growth pattern. Thus, it cannot be represented by a linear equation.

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The answer to your question that you asked is cone or B

Answer:

0

Step-by-step explanation:

Answer: it's C. 0

Also Happy early Christmas

If there are approximately 2,000,000 described eukaryotic species and approximately 50% are insects, then the number of described insect species is 2,000,000 * 0.5 = 1,000,000.

The Nature Conservancy identified 400 species of beetles, of which 100 had been previously described. This means that they discovered 400 - 100 = 300 new beetle species.

Assuming that the proportion of new beetle species to total insect species is the same as the proportion of described beetle species to described insect species, we can set up the following proportion:

300 / x = 100 / 1,000,000

where x is the total number of insect species.

Solving for x, we get:

x = (300 * 1,000,000) / 100

x = 3,000,000

Therefore, the 2020 data suggests that there are a total of 3,000,000 insect species.

So the answer is not among the given options.

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Answer:

c

Step-by-step explanation:

There are two answers to the question...

Answer:

B and C

47

Cuando dividas 752 por 16 obtendrias 47.

Answer:

-5x-6

Step-by-step explanation: