what expression can represent 4 more than the product of 6 and 2 1/2

The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.

It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.

Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;

= (1 / 6)²

= 1² / 6²

= 1/36.

Ultimately, the equivalent expression is; 1 / 36.

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Total number of seats that remain unsold are 168.

What is statistics?

The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.

Let's start by defining some variables to represent the unknowns in the problem:

From the problem, we know that:

We also know that the total revenue collected is $34,650:

27x + 45y = 34650

Now we can substitute y = 0.5x from the second equation into the third equation and simplify:

27x + 45(0.5x) = 34650

27x + 22.5x = 34650

49.5x = 34650

x = 700

So there were 700 $30-seats and 350 $50-seats.

The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.

Therefore, the total number of seats sold is 882, and the number of unsold seats is:

1050 - 882 = 168

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Answer:

6g=18, p/3.5=2.25,9=100-f

Step-by-step explanation:

Anything that has an equal sign is an equation! Everything without one is called an expression. Hope this helps! If you can, please give a brainly!

Answer:

Here you go. The image attached is the graph with the slope  \(\frac{1}{6}\)  and the point (0, -8)

Step-by-step explanation:

Since we know the slope and the y intercept, we can construct the equation of a line: \(y = mx + b\)

In this case, this is the equation:

\(y = \frac{1}{6} - 8\)

We can than graph the equation as follows:

Answer:

The first option: 3x = 3 + 2x

Step-by-step explanation:

The question answers itself. In short:

x is our unknown number.

If three times a number (3x) is (=) three more (3) than (+) twice the number (2x).

Answer:

1/3

Step-by-step explanation:

Answer:

The weight of sunflower seeds in each snack bag is 1/16 of a pound

Step-by-step explanation:

Here, we want to know the weight of sunflower seeds in each snack bag.

The total weight bought is 9/16 pound and the division is into 9 bags

So the weight of the individual bags will be ;

9/16 divided by 9

= 9/16 * 1/9 = 1/16

The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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The exponential function f with base b is defined by f(x) = bˣ, b > 0, and b ≠ 1. Using interval notation, the domain of this function is (-∞, ∞) and the range is (0, ∞).

As an exponential function is defined for all real numbers, its domain is all real numbers, which can be written as (-∞, ∞), in interval notation.

Yet, the range of an exponential function is never zero.

This is due to the fact that the outcome of raising any real number to a positive power, as the exponential function does, will always be greater than 0. As a result, the exponential function with base b has a range of (0, ∞).

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Option C connects the motion of the trumpet with Newton's first law of motion.  The trumpet starts moving because a net force overcomes the trumpet's inertia.

According to Newton's first law of motion, a body won't begin to move unless and until an outside force acts on it. When anything starts moving, it won't stop or vary its speed unless another force acts on it. The law of inertia is another name for the first law of motion.

Given, The concert band's trumpet player is Andrew. Until it is time for him to play, he keeps the instrument still at his side. He positions the trumpet next to his mouth and begins to play afterward.

First of all, there are no movements, no acceleration, and no velocity for the trumpet. Newton's first law of motion, which states that an object at rest stays at rest and an object in motion stays in motion with the same speed and direction unless acted upon by an unbalanced force, explains why the trumpet is in this state. The trumpet continues to move at zero velocity since there is no net force exerted on it.

The trumpet is then moved by Andrew. It indicates that Andrew pushed the trumpet with vigor. It caused the body to transition from the resting condition to the moving state.

Finally, we can draw the conclusion that Trumpet will remain at rest unless Andrew applies a net force that is different from zero in accordance with Newton's first law of motion.

Hence, The trumpet starts moving because a net force overcomes the trumpet's inertia.

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The information is not enough to prove that triangles DEF and OPQ are congruent through SAS, as we need two equal side lengths and one angle measure.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The parameters given for this problem are given as follows:

As we are given only one side, instead of the two sides needed, we have that the information given is not enough to prove that the two triangles are congruent by the SAS congruence theorem.

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Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

To estimate the range of money spent by students on textbooks in a semester using the standard deviation rule, we can utilize the concept of the empirical rule.

According to the empirical rule, in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Given that the mean is $477 and the standard deviation is $35, we can calculate the range for approximately 95% of the students.

One standard deviation from the mean is $477 ± $35, which gives us a range of $442 to $512.

Two standard deviations from the mean is $477 ± (2 × $35), which gives us a range of $407 to $547.

Therefore, Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

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An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z or blackboard bold \mathbb {Z}.

The value of f(0.025) is approximately ±2.086 for an f-curve with df = (20, 5).

The t-distribution is a way of describing a set of observations where most observations fall close to the mean, and the rest of the observations make up the tails on either side. It is a type of normal distribution used for smaller sample sizes, where the variance in the data is unknown.

To find f(0.025) for an f-curve with df = (20, 5), we need to use a t-distribution table.

First, we need to determine the critical value for a two-tailed test with a significance level of 0.05 and 20 degrees of freedom (df).

Looking at the t-distribution table, we find that the critical value is approximately ±2.086.

Next, we can use the formula for the t-distribution to calculate f(0.025):
f(0.025) = t(0.025, 20) = ±2.086

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Profit fall in one year = 116.8$

What is profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are several profit metrics that are frequently used.

Let cost price = C

And selling price before reducing = S

Profit for 1 day = S-C

Now, After reducing selling price to = S-0.32

Profit= S - 0.32 - C for 1 day

Profit fall by = (S-C)-(S - 0.32 - C)

                     = S - C - S + 0.32 + C

Profit fall by = 0.32 for 1 day

Profit fall by one year = 0.32×365

                                    = 116.8$

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To enhance Bob's credibility in his blog post about the new mixed-media artist, he should be sure to include the artist's background, relevant experience, and accomplishments. Bob should be sure to include a long answer that covers several important aspects of the artist and the upcoming show.

Firstly, Bob should provide some background information about the artist, including their previous exhibitions and any awards or recognition they have received. This will demonstrate that Bob has done his research and that the artist is well-respected in the art world.
Secondly, Bob should describe the style and technique of the mixed-media art that will be on display at his gallery. This will show that he has a deep understanding of the artwork and is able to provide valuable insight to his readers.
Thirdly, Bob should discuss the significance of the upcoming show and why it is important for art lovers and collectors to attend. This will demonstrate that he is not just promoting the artist for the sake of making sales, but rather that he genuinely believes in the quality and value of the artwork.
Finally, Bob should include some personal commentary about his own experience working with the artist and organizing the show. This will give his readers a sense of his expertise and professionalism in the art world.

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Answer:

17 servings

Step-by-step explanation:

This is a fairly easy question. Here is what you need to do to solve.

The whole chocolate bag is 25.5 oz, and each serving is 1.5 oz.

So divide 25.5 by 1.5 to get your answer of 17 servings per bag!

_________________________________________________________

Hope this helps!

Yours Truely, TheAnimeCatUwU!

The possible values of the number of quarters are at least 14 and more.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

1 dime = $0.10

1 quarter = $0.25

Number of dimes = x

Number of quarters = y

Now,

He has at most 25 coins worth at least $4.60 combined.

This means

we can write two inequalities.

x + y ≤ 25 ____(1)

0.10x + 0.25y ≥ 4.60 _____(2)

Now,

From (1) and (2).

x ≤ 25 - y

Substituting in (2).

0.10x + 0.25y = 4.60

0.10 (25 - y) + 0.25y ≥ 4.60

2.5 - 0.10y + 0.25y ≥ 4.60

2.5 + 0.15y ≥ 4.60

0.15y ≥ 4.60 - 2.5

0.15y ≥ 2.1

y ≥ 2.1/0.15

y ≥ 14

This means,

y is at least 14.

Thus,

The possible values of the number of quarters are at least 14 and more.

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Answer:

1500

Step-by-step explanation:

imagine 30 / 5 = 15 then add the two zero's after  

Answer:

50% of 3,000 is 1500

Step-by-step explanation:

hope this helps!

Answer:

14/11

Step-by-step explanation:

cause when u divide you have to switch the second fraction; it's called the reciprocal.

do crossed division and you'll get 14/11.

Answer:

1 1/2

Step-by-step explanation:

1 4/5 ÷ 1 1/5

convert to full fractions:

9/5 ÷ 6/5

9/5 x 5/6 = 45/30 = 1 1/2

The expression representing the length of one side of the square is √(2 − 10x + 25) meters.

The area of a square is given by the formula A = \(s^2\), where A represents the area and s represents the length of one side of the square. In this case, the given expression represents the area of the square, which is (2 − 10x + 25) square meters. To find the length of one side, we need to take the square root of the area expression.

By taking the square root of (2 − 10x + 25), we can simplify it as follows:

√(2 − 10x + 25) = √(27 − 10x)

Now, it's important to note that the length of one side of a square cannot be negative since it represents a physical measurement. Therefore, we only consider the positive square root.

Hence, the expression representing the length of one side of the square is √(2 − 10x + 25) meters. This represents the positive value of the square root, which gives us the length of one side of the square.

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The increase in the temperature for an increase of 5 chirps per minute is 41.7 Fahrenheit.

What is Linear relationship?

A Linear relationship, describes a straight-line relationship between two variables.

Given that, There is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature.  A biologist gives the model = 25.2 + 3.3x, where x is the number of chirps per minute.

there is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. a least-squares fit of some data collected

Here x = 5, putting it in the given model,

Temperature = 25.2 + 3.3 (5) = 41.7 F

Hence, the required prediction of increase in temperature is 41.7 F

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Using logical reasoning, we know that the members of the club wear red shirts on Monday.

So, we know that:

The member wears a blue shirt the day after wearing a yellow shirt.

Then: Yellow __ Blue

The member was a red shirt before a yellow shirt.

Then: Red, Yellow,  __ Blue

Members wear blue shirts 3 days in a row.

Then: Red, Yellow,  Blue, Blue, Blue

members wear a yellow shirt after wearing blue shirts for 3 days.

Then: Red, Yellow,  Blue, Blue, Blue, Yellow

Now, we have:

Red (Monday), Yellow (Tuesday),  Blue (Wednesday), Blue (Thursday), Blue (Friday), Yellow (Saturday)

Therefore, using logical reasoning, we know that the members of the club wear red shirts on Monday.

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Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Given the following question:

x = point of intersection

Given the following graph there is only one point of intersection.

Your answer is option D.

Answer:  x=1

Step-by-step explanation: I took the test

Given the area between -z and z is 0.5408, the value of positive z can be calculated as follows:

We know that the area of a standard normal distribution is 1. Since the area between -z and z is 0.5408, this means that the area from 0 to z is 0.5408/2 = 0.2704. To find the value of z, we can use a standard normal distribution table or a calculator that computes normal probabilities.

From the standard normal distribution table, the area to the left of z is 0.2704. To find the value of z, we can set up the equation 0.2704 = (z-0)^2/2 and solve for z. This yields z = 0.5197. Therefore, the value of positive z is 0.5197.

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The lower bound is 47.42 days. The upper bound is 54.58 days. The correct interpretation for this interval is A) There is 95% confidence that the mean incubation period lies between the lower and upper bounds of the interval.

The formula for finding the confidence interval is given as:

Confidence interval = mean ± (z-score × standard deviation)/√n

Here, the level of significance α is 1 - 0.95 = 0.05/2 = 0.025.

z-score for α/2 = 1 - 0.025 = 0.975 is found from the z-table.

For 0.975, z-score is 1.96.

Substituting the values in the formula, we have:

Lower bound = 51 - (1.96 × (14.3/√93))= 47.42 days

Upper bound = 51 + (1.96 × (14.3/√93))= 54.58 days

Interpretation:

We are 95% confident that the mean incubation period lies between the lower and upper bounds of the interval. Therefore, the correct answer is A) There is 95% confidence that the mean incubation period lies between the lower and upper bounds of the interval.

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Answer:

I think Yes im not exactly sure

Step-by-step explanation:

Answer:

\(m1 = m15 \\ 8x - 4 = 6x + 24 \\ 8x - 6x = 24 + 4 \\ 2x = 28 \\ x = 28 \div 2 = 14 \\ \\ enjoy \: it\)

Answer:

Its 14 Guys

Step-by-step explanation: