In which set are all the numbers solutions to the inequaltiy x < - 3?

Answer:

1/6

Step-by-step explanation:

1-1/2 = 1/2

night = x

1/2 - x = 1/3

3/6 - x = 2/6

so x = 1/6

The measure of the angle JKH is 19 degrees

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

m/LJK= 38° and m/KLJ= 71°.

Start by calculating the external angle of  JKL

So, we have

External = LJK + KLJ

External = 38 + 71

External = 109

The measure of angle JKH is then calculated using:

JKH + 90 = External

This gives

JKH + 90 = 109

Evaluatet the like terms

JKH = 19

Hence, the angle has a value of 19 degrees

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After 30 minutes, the amount of salt remaining in the tank is 18.75 kg. This is because the brine entering the tank contains 0.03 kg of salt per liter of water, and 25 liters of brine are entering the tank every minute.

Thus, in 30 minutes, 750 liters of brine will have entered the tank, bringing with it 22.5 kg of salt. Since the tank initially contained 20 kg of salt, the amount of salt remaining after 30 minutes is 18.75 kg.

The theory behind the amount of salt remaining in the tank after a given amount of time is based on the idea that the amount of salt entering the tank is equal to the amount of salt leaving the tank. The amount of salt entering the tank is determined by the concentration of salt in the brine solution and the rate at which the brine enters the tank. The amount of salt leaving the tank is determined by the same rate at which the brine enters the tank.

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The double integral is used to calculate the area of a region enclosed by two curves.

The region is bounded by the curves x = 1, y = 0, x = 3 and y = [tex]3x2 - 9x2y2[/tex]. In this case, the double integral is given by the expression [tex]∫10∫312x3 - 9x2y2 dy dx.[/tex]

In order to calculate the double integral, the iterated integral method is used. This involves integrating the inner integral with respect to y first, and then integrating the outer integral with respect to x.

The first step is to integrate the inner integral with respect to y. This gives us the expression [tex]∫0 3 (12x3 - 9x2y2) dy[/tex]. After integrating with respect to y, we then integrate the outer integral with respect to x. This gives us the expression [tex]∫10 ∫0 3 (12x3 - 9x2y2) dy dx.[/tex]

The result of this double integral is the area of the region bounded by the two curves. The result of the double integral is therefore the area of the region bounded by the two curves. The result of the double integral is therefore the area of the region enclosed by the two curves. The result of this double integral is the area of the region bounded by the two curves.

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Answer: 2x + 4mi >=10 , 3

Step-by-step explanation:
x=days after monday

Since Joseph ran 4 miles the first day, that number stays constant. The 2miles depends on the amount of days he runs for so that is the coefficient. Atleast means greater than or equal to. Using the inequality, we can solve that x >= 3.

2x+4>=10

    -4    -4

2x>=6

/2     /2

x>=3

The approximate surface area of a cone is 204 inches².

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The surface area of a cone is πr (r + √(h² + r²) )

Now,

Diameter = 10 inches

Radius = 5 inches

Slant height = 8 inches

Now,

The surface area of a cone is πr (r + √(h² + r²) )

Slant height = √(h² + r²) = 8 inches

So,

= πr (r + √(h² + r²) )

= π x 5 (5 + 8)

= 3.14 x 5 x 13

= 204 inches²

Thus,

The surface area of a cone is 204 inches².

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The approximate surface area of the cone is 227 square inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The diameter of a cone's circular base measures 10 inches

Radius of cone is 5 inches.

Slant height = 8 inches

A=πr(r+√h²+r²)

A=3.14×5(5+√64+25)

A=3.14×5(5+√89)

A=3.14×5(5+9.43)

A=3.14×5(14.43)

A=226.61

Hence, the approximate surface area of the cone is 227 square inches.

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Answer:

y = 12

Step-by-step explanation:

I believe that you can use the geometric mean theorem to solve for y

y is the geometric mean of the segments of the hypotenuse, so

24/y = y/6

simplify using means and extremes property: y^2 = 144

simplify: y=12

Answer: if your account has more liquidity

Answer:

О  B.  more

Step-by-step explanation:

You can access your funds easier if ypur account has more liquidity.

...

Answer:

5

Step-by-step explanation:

Hope it helps! =D

Answer:

The area of a trapezium with parallel sides of length 19 cm and 21 cm, and a distance of 14 cm between them, is 280 square cm.

Step-by-step explanation:

The percentage of 7th graders students that spend less than an hour a day on social media is 51.8%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

7th graders:

Number of students that spend less than an hour = 29

Number of students = 56

The percentage of students that spend less than an hour.

= 29/56 x 100

= 51.785

= 51.8 %

Thus,

The percentage of students that spend less than an hour is 51.8%.

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The volume of the cube as a polynomial is 8x³ + 12x² + 6x + 1.

The volume of a cube is expressed as;

V = a³

Where a is the side of the cube.

Given that;

Plug the given value into the above equation and simplify.

V = a³

V = ( 2x + 1 )³

Expand using FOIL method

V = ( 2x + 1 )( 2x + 1 )( 2x + 1 )

V = ( 2x( 2x + 1 ) + 1( 2x + 1 ) )( 2x + 1 )

V = (4x² + 4x + 1 )( 2x + 1 )

V = 2x(4x² + 4x + 1 ) + 1(4x² + 4x + 1 )

V = 8x³ + 8x² + 2x + 4x² + 4x + 1

Collect and add like terms

V = 8x³ + 12x² + 2x + 4x + 1

V = 8x³ + 12x² + 6x + 1

Therefore, the volume is 8x³ + 12x² + 6x + 1.

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Answer:

SAS because you have two congruent sides surrounding one congruent angle

If number of cases of a disease is reduced by 7% every year and there are initially 10000 cases, then "y" as a function of "t" is expressed as  y=10000×(1 - 0.07[tex])^{t}[/tex]  .

the number of cases of a disease is reduced = 7% per year,

so , the rate of change can be expressed as a negative 7%.

The function "y" ,which represents number of cases of disease after "t" years, can be expressed as:

⇒ y = 10000×(1 - 0.07[tex])^{t}[/tex]  ;

where ; t = number of years elapsed and

⇒ (1 - 0.07) represents the factor by which number of cases decreases each year.

This equation gives the number of cases of the disease after "t" years, assuming that the 7% reduction rate remains constant over time.

The given question is incomplete , the complete question is

Suppose , the number of cases of a disease, is reduced by 7% per year ,  if there are initially 10,000 cases, express "y" as a function of "t" , the number of years elapsed ?

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The values of x = 10√3 derived using the trigonometric ratio of cosine.

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the larger acute angle, if we represent it by θ then for the bigger right triangle with adjacent x and hypotenuse 30;

cosθ = x/30

for the smaller right triangle with adjacent 30 - 20 = 10 and hypotenuse x

cosθ = 10/x

x/30 = 10/x

x² = 300 {cross multiplication}

x = √300 {take square root of both sides}

x = √100 × √3

x = 10√3.

Therefore, the values of x = 10√3 derived using the trigonometric ratio of cosine.

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Answer: C; $5 for 40 ounces

Step-by-step explanation: To find the lowest cereal amounts, we need to find the unit price. To find the unit price, you ALWAYS divide the price by the amount. In this case, we need to divide the money by the ounces. So, the prices for each (in cents) are:

[tex]\frac{3.20}{20} = 0.16[/tex]

[tex]\frac{4.50}{25} = 0.18[/tex]

[tex]\frac{5}{40}[/tex] ≈ 0.13 (0.125)

So, the decimals are the prices (in cents) and the last one was 0.125, but we need to round up to the nearest cent. This would be $0.13. This makes the 40 ounces of cereal for $5 the cheapest of the 3 deals. I hope this helped!

The two equations representing the costs are 10 + 5x and 15 + 4.5x.

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Let, 'x' be the number of pizzas.

Therefore, From the given information the two linear equations we can form is, 10 + 5x and 15 + 4.5x.

As the delivery charges for both the stores is a constant.

We can determine the number of pizzas when the cost for both options would be the same by equating these two equations.

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P-values that are precise serve as a measure of statistical significance is important to include on the box-whisker plot.

In a clinical trial, research is conducted on human participants (sometimes known as volunteers) with the goal of advancing medical knowledge.

Clinical trials also known as interventional studies and observational studies are the two primary categories of clinical research. Medical products, such as medications or gadgets, surgeries, or adjustments to participants' behavior, including dietary changes, can all be considered treatments.

The null hypothesis should be rejected if the p-value is less than 0.05, which is commonly regarded as statistically significant. The null hypothesis is not rejected if the p-value is greater than 0.05 since it indicates that the divergence from the null hypothesis is not statistically significant.

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South Carolina can produce 26x26x10x10x10 = 676,000 different license plates with the configuration digit, letter, digit, letter, digit, digit.

Permutations are arrangements of objects in a specific order. For example, if you have the letters A, B, and C, the possible permutations are ABC, ACB, BAC, BCA, CAB, and CBA. Permutations are often used to calculate the total number of possible combinations for a given set of objects, as each permutation is a unique combination. For example, if you have three letters and three digits, the total number of permutations is 26x10x10x26x26x10 = 17576000.

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According to Chebyshev's theorem, at least 69 percent of any set of observations will be within 1.8 standard deviations of the mean.

Standard deviations of the mean = 1.8 s

According to Chebyshev's theorem at least (1 - 1/k^2)×100% observations will lie within k standard deviation from the mean.

The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/(1.8)^2)×100%

The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 1/3.24)×100%

The proportion of observations that will be within 1.8 standard deviations of the mean = (1 - 0.31)×100%

The proportion of observations that will be within 1.8 standard deviations of the mean = 0.69 × 100%

The proportion of observations that will be within 1.8 standard deviations of the mean = 69%

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The product is equivalent to $72 and its unit is $

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The rate,

8hx$9/h

In simple words,

$9 per hour for 8 hours.

Now, for 1 hour, the cost is $9.

Therefore, for 8 hours,

It can be written as -

x = 9 x 8

x = $72

Hence, the product is equivalent to $72.

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The equivalent value of sin{D} is -

sin{D} = √13/10.

Given is a right angled triangle.

In the given right angle triangle, we can use the Pythagoras theorem as -

{FD}² = {√13}² + {√87}²

{FD}² = 13 + 87

{FD}² = 100

FD = 10

So, we can write that -

sin{D} = √13/10

Therefore, the equivalent value of sin{D} is -

sin{D} = √13/10.

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The new coordinates of the point will be (2, -3).

Coordinate is a system used to determine the exact location of a point on a 2-dimensional plane or 3-dimensional space. It is typically used to pinpoint a specific spot on a map or graph. Coordinate systems are usually written in two or three numbers, representing the x, y and z positions of the point. These coordinates can then be used to calculate distances, angles and other measurements.

After the transformation D5 o R270-, the image point of (-3, 4) will be (2, -3). The transformation D5 is a dilation, which changes the distance between the origin and the point by a factor of 5. The transformation R270- is a rotation by 270 degrees counter-clockwise, which moves the point to the left and up by the same distance. Therefore, the new coordinates of the point will be (2, -3).

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The number of hours worked multiplied by the hourly wage of an employee is how gross wages for hourly workers are determined is 318.8

Employees' gross pay is their salary before any payroll deductions such as taxes, benefits, and other expenses are made. Net pay, often known as take-home pay, is the amount that is left over once all withholdings have been taken into account.

Here,

Given :

=> 290

=> interest = 3% of 500

=> 960 * 3/100 =  28.8

=> 28.8 + 290 = 318.8

The total amount of money a person makes each year, whether they work or invest, is their gross income. In the case of a self-employed person, earned income is restricted to salaries, commissions, bonuses, and business income after deducting expenses.

The total of your earnings at a certain employment before deductions is your gross salary. Before any deductions from your pay are made, this is often listed at the top of your pay slip.

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The probability that airline b detected it will be 0.22.

The probability that airline B detected the weapon can be calculated using Bayes' Theorem, which states that:

P(airline B detected the weapon | weapon detected) = P(weapon detected | airline B detected the weapon) * P(airline B) / P(weapon detected)

where P(airline B) is the prior probability that a passenger was serviced by airline B (30%) and P(weapon detected) is the total probability that a weapon was detected (sum of the probabilities that a weapon was detected by each airline).

The numerator can be calculated as P(weapon detected | airline B detected the weapon) * P(airline B) = 0.5 * 0.3 = 0.15.

The denominator can be calculated as the sum of the probabilities that a weapon was detected by each airline, weighted by their respective prior probabilities:

P(weapon detected) = P(weapon detected | airline A detected the weapon) * P(airline A) + P(weapon detected | airline B detected the weapon) * P(airline B) + P(weapon detected | airline C detected the weapon) * P(airline C)

= 0.9 * 0.5 + 0.5 * 0.3 + 0.4 * 0.2

= 0.45 + 0.15 + 0.08

= 0.68

Finally, the answer is P(airline B detected the weapon | weapon detected) = 0.15 / 0.68 = 0.22.

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Line through (2,4,5) perpendicular to plane 3x-7y+5z=21 found by finding normal vector <3,-7,5> and direction vector <0,5,-3> from cross product. Parametric equation is r(t)=<2,4,5>+t<0,5,-3>.

What is plane ?

A plane is a Euclidean, two-dimensional surface that extends indefinitely. A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

The normal vector is given by the coefficients of x, y, and z in the equation of the plane:

n = <3, -7, 5>

Next, we need to find a point on the line and a direction vector for the line. The point on the line is (2, 4, 5) and the direction vector can be found by taking the cross product of the normal vector and an arbitrary vector not parallel to the normal vector.

An arbitrary vector not parallel to the normal vector could be <1, 0, 0>. Taking the cross product, we get:

d = n x <1, 0, 0> = <0, 5, -3>

So, the line through (2, 4, 5) perpendicular to the plane 3x - 7y + 5z = 21 is given by:

r(t) = <2, 4, 5> + t<0, 5, -3> = <2 + 0t, 4 + 5t, 5 - 3t>

Line through (2,4,5) perpendicular to plane 3x-7y+5z=21 found by finding normal vector <3,-7,5> and direction vector <0,5,-3> from cross product. Parametric equation is r(t)=<2,4,5>+t<0,5,-3>.

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This cannot be determined with the information given. To calculate the sample size, we would need to know the population means, the population standard deviation, and the confidence interval.

The confidence interval is 97%, which is the likelihood that the mean of the receipts is less than $38. We can use this information to calculate the margin of error and then use this to calculate the sample size.   The margin of error is calculated by taking the critical value (in this case, 1.96) and multiplying it by the standard deviation of the population. We then divide this by the square root of the sample size to get the margin of error.  

Once we have the margin of error, we can then calculate the sample size by taking the population means minus the margin of error and dividing this by the desired confidence interval. In this case, the desired confidence interval is 97%.   Therefore, without the population means, standard deviation, and confidence interval, it is impossible to calculate the sample size.

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To find the value of the constant and the exponent so that is the solution of this initial value problem, you need to solve the differential equation, which can be written in the form y' + p(x)y = q(x).

To determine the largest interval of the form on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution, you need to ensure that the coefficients p(x) and q(x) are continuous on the interval and that p(x) does not change sign on the interval. The actual interval of existence for the solution is from the lower bound of the given interval to either the upper bound of the given interval or the point where p(x) changes sign.

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All of the y-values are not a constant multiple of the corresponding x-values, so the relationship is not a proportional relationship.

In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/1 ≠ 5/2 ≠ 6/3

Since the constant of proportionality (k) for the relationship between the x-values and y-values are different, we can logically deduce that this is not a proportional relationship.

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