A school store sells pens for $1.29 each and notebooks for $2.25 each. Paul bought p pens and n notebooks. He spent less than $10. Which of these inequalities represents this situation?

The weight of the eggs in grams 95.38 grams.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X ~ N(58,21)

where µ = 58 and σ = 21

The z score for this case is given by this formula:

z = x -  µ/σ

We know that the value of z = 1.78 and we want to estimate the value of X. If we solve for X from the z formula we got:

X =  µ+1.78σ

= 58 + 1.78×21

= 95.38

So, the corresponding weight for a z score of 1.78 is 95.38 grams.

Hence we get the required answer.

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Since 400 is less than 424.9, we can conclude that Marcia does have enough paint to cover the top surface of the frame, given the area of 400 square inches.

To determine if Marcia has enough paint to cover the top surface of the frame, we need to calculate the area of the top surface of the frame.

The radius of the mirror alone is 21 inches, and the radius of the mirror and frame combined is 24 inches. Therefore, the width of the frame can be calculated by subtracting the mirror's radius from the radius of the combined mirror and frame.

Width of the frame = (Radius of the mirror and frame) - (Radius of the mirror)

Width of the frame = 24 inches - 21 inches

Width of the frame = 3 inches

The top surface of the frame can be considered as a circular band with an outer radius of 24 inches and an inner radius of 21 inches. To find the area of the top surface, we need to calculate the difference between the areas of the outer circle and the inner circle.

Area of the outer circle = π * (Radius of the mirror and frame)^2

Area of the outer circle = π * (24 inches)^2

Area of the inner circle = π * (Radius of the mirror)^2

Area of the inner circle = π * (21 inches)^2

Area of the top surface of the frame = Area of the outer circle - Area of the inner circle

Area of the top surface of the frame = (π * (24 inches)^2) - (π * (21 inches)^2)

Area of the top surface of the frame = (π * 576 square inches) - (π * 441 square inches)

Area of the top surface of the frame = 135π square inches

Now, we know that Marcia has enough paint to cover 400 square inches of the frame. We can compare this value to the area of the top surface of the frame (135π square inches) to determine if she has enough paint.

400 square inches < 135π square inches

To find the approximate value of π, we can use 3.14 as a reasonable estimate. Let's substitute it into the inequality:

400 < 135 * 3.14

400 < 424.9

Since 400 is less than 424.9, we can conclude that Marcia does have enough paint to cover the top surface of the frame, given the area of 400 square inches.

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Answer:

(-7. -8) Just flip the signs.

Answer:

\(\boxed {\boxed {\sf (-8,-7)}}\)

Step-by-step explanation:

When a point is reflected over y=-x, the following change occurs:

\((x,y)\)    ⇒  \((-y, -x)\)

We are given the point (7,8).

Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.

1. Change the signs

\((7,8)\)    ⇒    \((-7,-8)\)

2. Flip the x and y coordinates

\((-7,-8)\)   ⇒    \((-8,-7)\)

So the image of (7,8) after a reflection over y=-x is (-8,-7)

Answer:

it's 5 how did I know bc I'm big brain;p that's the right answers it's ,5...

Answer:

Additive

Step-by-step explanation:

I took the test

Answer:

-2

Step-by-step explanation:

i did the test

Answer

CIAD

Step-by-step explanation

The Pythagorean theorem states:

where a and b are the legs and c is the hypotenuse of a right triangle.

Applying this theorem to triangle 1:

Then, the first letter is C.

Applying the theorem to triangle 2:

Then, the second letter is I.

Applying the theorem to triangle 3:

Then, the third letter is A.

Applying the theorem to triangle 4:

Then, the fourth letter is D.

Answer:

i

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to \(\sqrt{-1}\).

Hope that this helps!

The solution for x is 621.5424 M \(s^{-1}\), with units of molar per second (M \(s^{-1}\)).

To solve for x in the equation x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3, we can simplify the expression and calculate the result. Let's break it down step by step: x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3

First, let's simplify (0.46M)^3: (0.46M)^3 = (0.46^3)(M^3) = 0.097336M^3

Now, substitute this back into the equation:

x = (6.4×10^3 M^(-2) s^(-1))(0.097336M^3)

Next, multiply the terms: x = 6.4×10^3 × 0.097336 M^(-2) s^(-1) M^3

When multiplying the terms with the same base, we add the exponents:

x = 6.4×10^3 × 0.097336 M^(-2 + 3) s^(-1)

Simplifying the exponent: x = 6.4×10^3 × 0.097336 M^(1) s^(-1)

Now, multiply the numerical values: x = 621.5424 M s^(-1)

Therefore, the solution for x is 621.5424 M s^(-1), with units of molar per second (M s^(-1)).

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The simple interest rate for the value of the house is 360%

The formula for calculating the interest is expressed as:

Interest = 161000-35000/35000 * 100%

Interest = 126,000/35000 * 100%

Interest = 3.6 * 100

Hence the simple interest rate for the value of the house is 360%

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Answer:

29 units²

Step-by-step explanation:

You could divide this into two triangles and two trapezoids to find the area.  But since the majority of these are either whole or half squares, I‘d count those.  Then you’d just have one triangle in the top right corner.

Whole squares: 21

Half Squares: 10 (so 4 square units)

Triangle: 1/2(b)(h)=1/2(5)(2)=5

TOTAL = 21+4+5= 29 units²

Using the formula of volume of a cone, the radius is 3.95 units

A cone is a pyramid with a circular cross-section. A right cone is a cone with its vertex above the center of the base. It is also called right circular cone. You can easily find out the volume of a cone if you have the measurements of its height and radius and put it into a formula.

The formula of volume of a cone is given as;

v = 1/3πr²h

Substituting the values into the formula;

245 = 1/3 * 3.14 * r² * 15

245 * 3 = 3.14 * r² * 15

735 = 47.1r²

r² = 735 / 47.1

r² = 15.61

r = √15.61

r = 3.95 units

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Answer:

The answer is 80,730

Step-by-step explanation:

Hope this helps <33

have a good afternoon :)

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

\(y=a(x-h)^2+k\) so that means that \(a=\frac{1}{8}\). We can use that to solve for p in the formula

\(p=\frac{1}{4a}\) so

\(p=\frac{1}{4(\frac{1}{8}) }\) which simplifies to

\(p=\frac{1}{\frac{1}{2} }\) which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.

Answer:

None of the above

14 = 3x -7

3x = 21

x = 7

Answer:

Step-by-step explanation:f(h(x))= 2x -21

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

Answer:

J

Step-by-step explanation:

34.7+6.3 would =41

40.9 cannot be more than 41, so it is not a possible solution

In this case, the proportion (79%) only applies to the sample of 481 consumers and thus it is a statistic because it represents the sample.

The distinction between a parameter and a statistic is that a parameter refers to a sample property, but a statistic is referred to as a population distribution characteristic.

For instance, a population mean is a parameter, but a sample mean is a statistic.

Although we can use it to draw conclusions about the population, in this case, the proportion (79%) only applies to the sample of 481 consumers and is thus only a statistic.

Therefore, This percentage is a statistic because it represents the sample.

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On solving the provided question, we got to know that, Blenders sold as a percentage of food processors sold is 30/20, or 3/2.

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

Compared to mixers, the dealer sold twice as many food processors.

Let M be the quantity of mixers sold.

Therefore, 2M is the quantity of food processors sold.

A total of 60 of the three appliances were sold by the dealer.

M + 2M = 3M

Thus, 3M is a representation of the whole sales of mixers and food processors.

60 appliances were purchased in total, thus 60 - 3M equals the quantity of blenders purchased.

Everything was sold by the merchant for a total of $4,200.

We get: (30)(M) + (120)(2M) + (50)(60 - 3M) = 4,200

30M + 240M + 3000 - 150M = 4200

130M + 3000 = 4200

120M = 1200

M = 10

The retailer so sold 10 mixers.

This indicates that the vendor sold 20 food processors and 30 food processors.

Blenders sold as a percentage of food processors sold is 30/20, or 3/2.

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Solution

Event 1: Probability is 8/16 = 1/2

Event 2: Probability is 1(certain to happen)

Event 3: Probability is 0(Impossible). There are no white slices in Spinner A

Event 4: Probability is 9/20

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

I think its degrees an hour and im almost posotive :D

Step-by-step explanation:

Answer:

analysis (i got to put a bunch of random stuff here cs the limit)

Answer:

169 is the answer.

Step-by-step explanation:

I used a calculator.

The correct answer is a. voluntary response.

Voluntary response bias occurs when individuals have the freedom to choose whether or not to participate in a sample or survey. In such cases, participation is entirely voluntary, and individuals self-select themselves into the sample. This type of bias can lead to misleading or unrepresentative results.

Voluntary response bias is a concern because it can introduce systematic differences between those who choose to participate and those who do not. Individuals who have strong opinions or a vested interest in the topic of the survey are more likely to participate, while those who are indifferent or have no strong opinion may opt out. As a result, the sample may overrepresent certain viewpoints or groups while underrepresenting others.

This bias can lead to skewed results that do not accurately reflect the larger population. The opinions and characteristics of the individuals who choose to participate may not be representative of the broader population, making it challenging to generalize the findings.

To mitigate voluntary response bias, it is important to use random sampling methods where participants are selected randomly from the target population. This helps ensure that all individuals have an equal chance of being included in the sample, providing a more representative and unbiased view of the population.

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The height from the graph shows that Paige is 1ft higher than Thuy because Paige is 12ft high while Thuy is 11 ft high.

The representation of a parabolic equation on a graph can be determined if the slope and the y-intercept of the parabolic equation are known.

From the given equation:

y = -3x² + 9x + 5

Using the quadratic formula, the x-intercepts are:

\(\mathbf{(-\dfrac{-9+\sqrt{141}}{6} ,0),(\dfrac{9+\sqrt{141}}{6} ,0) }\)

The y-intercept = (0, 5)

The vertex which is the up-down parabola of the quadratic equation is maximum at (3/2, 47/4)

Therefore, the height from the graph shows that Paige is 1ft higher than Thuy because Paige is 12ft high while Thuy is 11 ft high.

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The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.

To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.

Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.

o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.

ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.

Now let's analyze the given functions:

\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)

Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.

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Answer:

a = 0.6

Step-by-step explanation:

i hope im right

Answer:

ciu4rhiydve

Step-by-step explanation:

mrclutch master on fortnite add me yoclapz_yt

Answer:

2. There is a cluster between 3 and 6.

4. There is a peak at 5.

5. There is a gap between 6 and 8.