The ratio of a to b is constant, and a=9 when b=6 . What is the value of b when a=2 ? Round your answer to the nearest hundredth, if necessary.

Answer:

Step-by-step explanation:

we can't say because we don't have a couple of coordinates

Answer:

The symbols used to represent the negation of a statement are “~” or “¬”. For example, the given sentence is “If you don’t look both ways before crossing the street, then you will get hit by a car." Then, the negation of the given statement is “that u won't get hit”. Thus, if the given statement is true, then the negation of the given statement is false.

Answer:

Step-by-step explanation:

AA Similarity Theorem is required to prove that both triangles are similar

AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In other words, if two angles of one triangle are equal to two angles of another triangle, then the third angles must also be equal, and the two triangles are said to be similar.

One of the equal angle is marked while the other is equal using the concept of vertical angle theorem. Angles formed where the line intersect are the ones equal by vertical angle theorem

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Answer:

8x+26

Step-by-step explanation:

distribute the 5 into the numbers in the parentheses. you get (5x+20) then do the same with 3(x+2) which wll be (3x+6) now add like terms, which are 5x+3x=8x and 20+6=26. boom 8x+26.

8x + 26

multiply the outside number by the inside numbers and add them. remember, if the variable is singular example x, then it equals 1 :) I hope this helps you understand, I'm currently doing algebraic expressions.

Answer: B

Step-by-step explanation:

47 mL is equivalent to 0.047 L (liters).

Measurement refers to the process of quantifying or determining the amount, size, or degree of something using a standard unit of measurement. It is a way of expressing the quantity or magnitude of a physical property, such as length, mass, volume, time, temperature, etc.

Equivalent means having the same value, function, or meaning as something else. In mathematics, two values are said to be equivalent if they have the same numerical value or satisfy the same equation or inequality. In chemistry, equivalent refers to the amount of a substance that can react with or replace a given amount of another substance in a chemical reaction. In general, equivalent is used to indicate that two things are equal in some way or have the same effect or significance.

1L =1000mL

1mL=1/1000L

Therefore 47 mL=.047 L

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The calculated value of the limit of (ln x)^3 / x^2 as x approaches infinity is 0.

To apply L'Hopital's rule, we need to take the derivative of the numerator and denominator separately with respect to x.

We can apply this rule repeatedly until we get a determinate form.

lim x → ∞ [(ln x)^3 / x^2]

Taking the derivative of the numerator:

= 3(ln x)^2 (1/x)

Taking the derivative of the denominator:

= 2x

Applying L'Hopital's rule again by taking the derivative of the numerator and denominator:

= lim x → ∞ [6(ln x) / x]

Taking the derivative of the numerator:

= 6/x

Taking the derivative of the denominator:

= 1

Applying L'Hopital's rule one last time:

= lim x → ∞ 6 / x^2

= 0

Therefore, the limit of (ln x)^3 / x^2 as x approaches infinity is 0.

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Answer: A residual value of –0.8 means that the given point is 0.8 units above the line of best fit.

The equation that represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page is:

y = –38x + 922.

Therefore, the answer is y = –38x + 922.

Step-by-step explanation:

The probability that a committee of 10 members consisting of 6 males and 4 females will be selected is 0.3633.

The total number of ways to develop the complex would be 665, 280 ways.

To find the probability that a committee of 10 members consisting of 6 males and 4 females be selected for this committee, we need to calculate the number of possible ways to choose 6 males from the 28 males and 4 females from the 12 females.

Using combinations, we have:

Number of ways to choose 6 males = C(28, 6) = 28! / (6! x (28 - 6)!)

Number of ways to choose 4 females = C(12, 4) = 12! / (4! x (12 - 4)!)

Now, we find the probability:

Probability = (Number of ways to choose 6 males * Number of ways to choose 4 females) / Total ways to choose 10 members

Probability = (C(28, 6) x C(12, 4)) / C(40, 10)

Probability = 0.3633

To find the number of different ways the complex can be developed given the basic designs, we need to consider the following:

The number of ways to arrange the remaining 5 unique designs on the 5 stands is a permutation of 11 designs taken 5 at a time:

P(11, 5) = 11! / (11 - 5)!

Total ways to develop the complex = 12 x P(11, 5)

= 12 x 55440 = 665,280 ways

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The probability of getting exactly one tail when a fair coin is tossed three times is 3/8.

Probability is the measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

In the given question,

There are 8 possible outcomes, and we want to find the probability of getting exactly one tail. We can list the outcomes with exactly one tail as HHT, HTH, and THH.

So, the probability of getting exactly one tail is:

P(exactly one tail) = P(HHT) + P(HTH) + P(THH)

We know that each individual toss of a fair coin has a probability of 1/2 of resulting in either heads or tails. Using the multiplication rule of probability, we can find the probabilities of each of these outcomes:

P(HHT) = (1/2) * (1/2) * (1/2) = 1/8

P(HTH) = (1/2) * (1/2) * (1/2) = 1/8

P(THH) = (1/2) * (1/2) * (1/2) = 1/8

So, the probability of getting exactly one tail is:

P(exactly one tail) = P(HHT) + P(HTH) + P(THH) = 1/8 + 1/8 + 1/8 = 3/8

Therefore, the probability of getting exactly one tail when a fair coin is tossed three times is 3/8.

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Therefore , the solution of the given problem of angles comes out to be  the three propositions  m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6.

The point of intersection of the paths joining a skew ends yields the skew's greatest and smallest walls. A crossroads may be where two paths converge. Angle is another outcome of two things interacting. They approach dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various configurations between their endpoints.

Here,

Regarding the illustrated diagram, the appropriate statements are:

=> m∠3 + m∠4 + m∠5 = 180°

This is accurate since every triangle's internal angles add up to 180°.

=>  m∠5 + m∠6 = 180°

This is true because a triangle's internal angle and outside angle are always equal to 180 degrees.

=>  m∠2 + m∠3 = m∠6

This is accurate because, based on the information provided,

the exterior angle at angle 2 (m2) of the triangle is equal to the corresponding interior angle at angle 6 (m6) of the triangle.

Therefore, the three propositions  m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. are always true in relation to the given figure.

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Answer:

8√2 cm

Step-by-step explanation:

Consequently, 1 pound weighs more than 19 ounces.

What additional weight units are there?

The weight can also be expressed in terms of grams, kilograms, pounds, and tons.

Pound has two different definitions. When used as a noun, it refers to a 16 oz. weight unit. Or it can be used as a verb to strike or hit hard and frequently.

The weight unit known as an ounce is 1/16th of a pound.

A ton weighs 2000 pounds.

16 ounces make up one pound. Consequently, 1 pound weighs more than 19 ounces.

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Answer:

The answer is the Blue car

Step-by-step explanation:

let Red car be x

let blue car be y

x=120km---->1hr

y=130km----->1hr

Average speed =distance(km)/time(hr)=km/hr

let A be average speed

A(x)=120/1=120km/hr

A(y)=130/1=130km/hr

therefore,

the blue car has the greatest average speed

Lynn is hesitant to allow Greta to drop off the potato salad at 10am .

Greta could make the potato salad the night before and keep it in the refrigerator to solve the problem she and Lynn were having. She could then transport the potato salad at a safe temperature in a cooler filled with ice packs on the day of the picnic.

She could ask Lynn to store the potato salad in a cooler or refrigerator until the picnic starts when she gets to the park. Along these lines, the potato salad will be protected to eat and won't represent a gamble of food contamination.

The mayonnaise in Greta's potato salad will spoil, leading to the growth of bacteria that could result in foodborne illness, if it is left outside in the sun until the picnic begins at 2 p.m. The potato salad may cause nausea, vomiting, diarrhea, and stomach cramps in those who consume it.

Because food safety guidelines state that perishable foods, like potato salad, should not be kept at room temperature for more than two hours, Lynn is hesitant to let Greta drop off the potato salad at 10 a.m.

If the potato salad is left out in the sun from 10 a.m. to 2 p.m., bacteria can grow on it, and eating it could make you sick.

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In a case whereby Shandra is giving a snack bag to each of her 4 friends. She puts 4 pear slices in each bag the number of pear slices that are there in all is 16 pear slices.

The calculation can be done in a simple way, If Shandra puts 4 pear slices in each of the 4 snack bags, then the total number of pear slices will be:

4 friends x 4 pear slices per bag = 16 pear slices

Therefore, there are 16 pear slices in all.

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The percentage of adults who preferred soccer or basketball is 25%.

The size of each slice in a circle graph, also called a pie chart, indicates the proportion or percentage of each category, and the information is displayed as a circle divided into sections or slices. Circle graphs are frequently used to compare various categories in a dataset or to illustrate how various components contribute to the overall. They are particularly helpful when working with data that can be broken down into distinct categories, such survey results or demographic data.

From the circle graph we see that, percentage of adults who preferred soccer is 11%, and the percentage who preferred baseball is 14%.

Thus,

11% + 14% = 25%

Hence, the percentage of adults who preferred soccer or basketball is 25%.

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The histogram that displays the data in the table correctly is C. Histogram C.

Look at the data in the table and look for the number of photocopies that are located between 800 and 899. There are 3 of these.

The number located between 900 and 999 are 5 in number including 915, 919, 923, 950, and 989. The number located between 1,000 and 1, 099 is 8 photocopies.

The histogram that shows this is Histogram C.

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Answer: To solve the problem, we can use the formula for exponential decay:

N(t) = N0 * (1/2)^(t/T)

where:

N(t) is the amount of the radioactive element at time t

N0 is the initial amount of the radioactive element

t is the time that has elapsed

T is the half-life of the radioactive element

Let's assume that the initial amount of carbon-14 in the bones was N0. After the bones were discovered, they had lost 60.1% of their carbon-14, which means that only 39.9% of the original carbon-14 remained. Therefore, we can write:

N(t) = 0.399 * N0

We want to find the time t that has elapsed since the mastodon died. We can rearrange the formula for exponential decay to solve for t:

t = T * log( N(t) / N0 ) / log(1/2)

Substituting the given values, we get:

t = 5750 * log( 0.399 ) / log(1/2)

Using a calculator, we find that t is approximately 16060 years. Therefore, the bones were approximately 16060 years old at the time they were discovered.

Step-by-step explanation:

Thus, the value of x and y for the given right angled triangle are found as:   x = 8 and y = 2√3.

The Pythagorean Theorem, a well-known geometric principle that states that the square just on hypotenuse (the side across from the right angle) of a right triangle equals the sum of the squares on its legs, is also known as the

a² + b² = c².

For the larger triangle, applying Pythagorean theorem:

4² + (4√3)² = x²

x² = 16 + 16*3

x² = 16 + 48

x² = 64

x = 8

Then, x - 6 = 8 - 6 = 2

Now applying Pythagorean theorem for smaller triangle:

y² + (x - 6)² = 4²

y² =  4² - 2²

y² =  16 - 4

y² =  12

y² =  √12

y = 2√3

Thus, the value of x and y for the given right angled triangle are found as:   x = 8 and y = 2√3.

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If Mr. Wang and Mrs. Wang have 3 sons and every son has 1 wife, 1 son, and 1 sister, the total number of people in the family, based on mathematical operations, is 14.

The total number of people in the family can be determined using the mathematical operations of multiplication and addition.

Multiplication and addition are two of the four basic mathematical operations.

Multiplication involves the multiplicand, the multiplier, and the product, while addition involves two or more addends added to get the sum.

The number of parents = 2

The number of sons = 3

The number of additional family members for each son = 3

The total number of additional family members = 9 (3 x 3)

The total number of persons in the family = 14 (9 + 3 + 2)

Thus, there are 14 people in the family of Mr. Wang and Mrs. Wang.

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The cost per share of the technology stock is $14.

What is a variable?

In mathematics, a variable is a symbol or letter that represents a value or a quantity that can change or vary in a given context or problem. Variables are used to express mathematical relationships and to formulate equations and functions.

Let's use variables to represent the cost per share of the technology stock and the mutual fund. We can call the cost per share of the technology stock "T" and the cost per share of the mutual fund "M".

From the problem, we know:

Nora bought 100 shares of the technology stock and 200 shares of the mutual fund for a total of $3600:

100T + 200M = 3600

Erin bought 300 shares of the technology stock and 50 shares of the mutual fund for a total of $5300:

300T + 50M = 5300

We now have a system of two equations with two variables. We can solve for T and M by using elimination or substitution. Here, we will use the substitution method:

From the first equation, we can isolate T by subtracting 200M from both sides:

100T = 3600 - 200M

Divide both sides by 100 to get:

T = 36 - 2M

Now substitute this expression for T into the second equation:

300(36 - 2M) + 50M = 5300

Expand and simplify:

10M = 1100

Divide both sides by 10 to get:

M = 110

So the cost per share of the mutual fund is $110.

To find the cost per share of the technology stock, we can substitute M = 110 into either of the original equations. Let's use the first equation:

100T + 200(110) = 3600

Simplify:

100T = 1400

Divide both sides by 100 to get:

T = 14

So the cost per share of the technology stock is $14.

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Answer:

interquartile range = 6

Step-by-step explanation:

the interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box, that is 86

Q₁ is the value at the left side of the box, that is 80

interquartile range = Q₃ - Q₁ = 86 - 80 = 6

Answer:

Multiplying the first equation by 2, we get:

6x - 4y = 12

Adding the second equation, we get:

6x - 4y + x + 4y = 2 + 12

Simplifying, we get:

7x = 14

This is the same equation given in the problem statement. So any system of equations that has this equation and the second equation will also have the solution (2, 0). For example:

3x - 2y = 6

7x = 14

Answer:

Step-by-step explanation:

This is a quadratic and needs to be factored as such. When we factor, we get

cosx = 1/2 and cosx = -1. Refer to the unit circle to find all the angles that have a cosine of 1/2. Those would be in Q1 and Q4; namely, pi/3 and 5pi/3. The angle where the cosine is -1 is at pi.

[tex]x=\pi ,\frac{\pi }{3},\frac{5\pi }{3}[/tex]

The area of the remaining portion of the sheet is -4x² + 12x + 6.

Jay cuts identical squares from the corners of a rectangular sheet of paper as shown in the adjoining figure.

Therefore, the area of the remaining portion can be found as follows:

area of the rectangle = 3(4x + 2)

area of the rectangle = 12x + 6

Therefore,

area of each square cut out = x²

area of the 4 square cut out = 4x²

Therefore,

area of the remaining portion = 12x + 6 - 4x²

area of the remaining portion = -4x² + 12x + 6

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