Avery is designing a large rectangular sign. they want the sign to have an area of 2\,\text{m}^22m 2 2, start text, m, end text, squared and a width of \dfrac45\,\text{m} 5 4 ​ mstart fraction, 4, divided by, 5, end fraction, start text, m, end text. how tall should the sign be?

Answer:

6.2 mo

Step-by-step explanation:

Say there are 100 animals    80 are dogs   20 are cats

 { 80 anim ( 7mos) + 20 anim (3mos)  ] / 100 animals  = 6.2 months

Answer:

20/27

Step-by-step explanation:

Answer:

sorry. thats a hard one. math isn't. my area best of luck

\(x + 21 = 5\)

\(x = 5 - 21\)

\(\color{hotpink}x = ( - 16)\)

Let us check whether or not we have found out the correct value of x , by placing -16 in the place of x :-

\( - 16 + 21 = 5\)

\( 5=5\)

\(\color{hotpink}LHS = RHS \)

As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

Therefore , the value of :-

\(\color{hotpink}x \color{olive}=\color{hotpink} ( - 16)\)

Answer:

y8x122

Step-by-step explanation:

Simplify this expression.

The ability of the normal distribution to approximate the binomial distribution under appropriate conditions justifies the use of the normal distribution for the sampling distribution of the proportion.

A sampling distribution is a statistical probability distribution derived from a larger number of samples gathered from a certain population. The sampling distribution of a particular population is the distribution of frequencies of a range of possible outcomes for a population statistic.

A population is the whole pool from which a statistical sample is selected in statistics. A population can be defined as a large group of people, things, events, medical visits, or measures. A population can thus be defined as an aggregate observation of persons linked by a common trait.

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Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:

the answer is 7,184.47

Step-by-step explanation:

To find the y-intercept of the given function, f(x) = |x - 1|, we will set x = 0, because the y-intercept occurs where the function crosses the y-axis, and at that point, x = 0.

Step 1: Substitute x = 0 into the function.
f(0) = |0 - 1|
Step 2: Simplify the expression inside the absolute value.
f(0) = |-1|
Step 3: Calculate the absolute value.
f(0) = 1
So, the ordered pair location of the y-intercept of the function f(x) = |x - 1| is (0, 1). There is only one function provided in the question, so the greatest y-intercept among the given function is (0, 1).

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The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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a^2 + b^2 = c^2

c is the hypotenuse of the right triangle.

answer: 6

The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Yearly deposit amount

r = Interest rate per period

n = Number of periods

In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).

Using the given formula:

2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08

Simplifying the equation:

2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08

2,000,000 = P * [10.063899 - 1] / 0.08

2,000,000 = P * 9.063899 / 0.08

Dividing both sides by 9.063899 / 0.08:

P = 2,000,000 / (9.063899 / 0.08)

P ≈ 2,000,000 / 113.298737

P ≈ 17,650.23

Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.

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Answer: Parallelogram Opposite Sides Converse

Step-by-step explanation:

There are 2 pairs of opposite congruent sides.

Answer:

-4x + 10 ≥ 5x + 55

-9x + 10 ≥ 55

-9x ≥ 45

x ≤ -5

Step-by-step explanation:

Pls i need to be the brainlist PLS

Answer:

x < -5

Step-by-step explanation:

-4x > 5x + 45

-9x > 45

x < -5   <--- switches because dividing by negative number

The value of the function f at t = 7, will be 11.

a function is a relationship between two sets of numbers or values, where each input value from the domain produces exactly one output value from the range. This relationship can be represented by a graph, an equation, or a table.

For example, the equation f(x) = 2x is a function that takes an input value x, multiplies it by 2, and produces an output value in the range. If we input x = 3 into this function, we get f(3) = 2

The function is given as,

f = 2t – 3

At t = 7, the value of the function f will be.

f = 2 x 7 – 3

f = 14 – 3

f = 11

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The complete question is;

Find the output, f, when the input, t, is 7. f = 2t - 3

Therefore, there are 825 boys in the school.

Percent is a mathematical term used to represent a fraction of 100. It is often denoted by the symbol "%". Percentages are used to express proportions, rates, or changes in quantities in terms of fractions of 100. For example, 50% means 50 parts out of 100 or a half, while 25% means 25 parts out of 100 or a quarter. Percentages are commonly used in everyday life, such as in calculating discounts, tax rates, and interest rates.

Here,

If 45% of the students are girls, then the remaining 55% must be boys.

To find the number of boys, we can first calculate what 1% of the total number of students is:

1% of 1500 = 0.01 x 1500 = 15

So there are 15 students in each 1% of the school population.

To find the number of boys, we can now multiply the number of 1% by the percentage of boys:

55% of 1500 = 0.55 x 1500 = 825

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Complete question:

In a school of 1500 students, 45% are girls. How many boys are in the school?

The minimum distance you can park from a driveway leading from a fire department can vary depending on the local laws and regulations in your area.

However, it is important to keep in mind that fire departments need clear and unobstructed access to their driveways at all times, in case of an emergency.
In many areas, the law requires a minimum distance of 20 feet from the edge of a fire department driveway to the nearest parked vehicle. This distance allows fire trucks and emergency vehicles enough space to turn, enter, and exit the driveway without any obstruction or delay.
It is also important to note that blocking a fire department driveway can result in a hefty fine or even a vehicle being towed away. This is because obstructing the entrance and exit to a fire department can cause unnecessary delay, which can be dangerous or even fatal in emergency situations.
Overall, it is important to always be aware of your surroundings and the laws in your area when parking near a fire department or any other emergency service. By doing so, you can ensure the safety and accessibility of these essential services at all times.

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The probability associated with failing to reject the null hypothesis when it is false is called the Type II error rate.

This error rate is the likelihood of incorrectly accepting the null hypothesis when the alternative hypothesis is actually true. It is denoted as beta (β) and is often calculated before conducting a hypothesis test. The probability of making a Type II error depends on several factors, including the sample size, the significance level, and the effect size.
It is important to minimize the Type II error rate in order to increase the power of a hypothesis test, which is the probability of correctly rejecting the null hypothesis when it is false. A higher power means that the test is more likely to detect a true effect and avoid false negative results. However, reducing the Type II error rate usually requires increasing the sample size or relaxing the significance level, which may not be feasible or desirable in some cases. Therefore, it is crucial to carefully consider the trade-offs between the Type II error rate, the power, and the practical implications of the hypothesis test before making any conclusions.

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The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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Answer: W = P/2 - L

Step-by-step explanation: You divide everything by 2.

Answer:

PV = $10,000(1/1+6.5%^2x7)  It is 7 years semiannually, which means 2 interest payments each year.

Step-by-step explain

Round it to the nearest $100

find this out by using  

A=P(1+r/n)^ntnation:

hope this helps

Answer:

Step-by-step explanation:

V = (1/2bh)l

= (1/2(5x2))4

= (5)(4)

= 20cm^3

\(A=\frac{b*h}{2} \\\\a^2+b^2=c^2\\\\2^2+5^2=c^2\\4+25=c^2\\\sqrt{29}=c\\ \\A=\frac{\sqrt{29}*4 }{2}\\ A=\frac{\sqrt{29}*\sqrt{16}}{2}\\ A=\frac{\sqrt{464}}{2}\\\)

nvm this is wrong lol, too many "solve for the missing side" problems bouncing around in my head

\(A=\frac{(5*2)(4)}{2} \\A=\frac{5*2*4}{2}\\A=5*4\\A=20\)

this is right

There are different types of FPGA architectures. FPGAs have a wide range of applications in various fields, including:

1) Digital Signal Processing (DSP):

FPGAs are commonly used for implementing digital filters, audio and video processing, image compression, and other DSP algorithms. The parallel processing capabilities of FPGAs make them well-suited for real-time signal processing applications.

2) High-Performance Computing (HPC):

FPGAs can be used to accelerate computationally intensive tasks in HPC systems. They can be customized to perform specific computations, such as encryption, decryption, and data compression.

3) Embedded Systems:

FPGAs are often used in embedded systems for implementing complex control logic, interfacing with different peripherals, and integrating multiple functions into a single chip.

4) Aerospace and Defense:

FPGAs are extensively used in aerospace and defense applications due to their reconfigurability, reliability, and radiation tolerance. They are employed in radar systems, communication systems, avionics, and military-grade encryption.

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The area of the 10-sided shape made by combining 4 rectangles with dimensions (15/16) cm and (95/16) cm is approximately 8.90625 cm².

1. Let's start by finding the dimensions of the rectangle. We are given that the length is 5 cm longer than the width. Let's represent the width as 'x' cm. Therefore, the length of the rectangle would be 'x + 5' cm.

2. The perimeter of the 10-sided shape is given as 55 cm. Since the shape is made up of 4 of these rectangles, we can calculate the total perimeter of the shape by multiplying the perimeter of one rectangle by 4:

Perimeter of one rectangle = 2(length + width)

Perimeter of one rectangle = 2((x + 5) + x)

Perimeter of one rectangle = 2(2x + 5)

Perimeter of one rectangle = 4x + 10

Total perimeter of the 10-sided shape = 4 times the perimeter of one rectangle

Total perimeter of the 10-sided shape = 4(4x + 10)

Total perimeter of the 10-sided shape = 16x + 40

We are given that the total perimeter is 55 cm. So, we can set up the equation:

16x + 40 = 55

3. Let's solve the equation to find the value of 'x':

16x + 40 = 55

16x = 55 - 40

16x = 15

x = 15/16

4. Now that we have the value of 'x', we can find the dimensions of the rectangle:

Width of the rectangle (x) = 15/16 cm

Length of the rectangle (x + 5) = (15/16) + 5 = (15/16) + (80/16) = 95/16 cm

5. Finally, let's calculate the area of the 10-sided shape:

Area of the 10-sided shape = 4 times the area of one rectangle

Area of the 10-sided shape = 4(length * width)

Area of the 10-sided shape = 4((95/16) * (15/16))

Area of the 10-sided shape = (4 * 95 * 15) / (16 * 16)

Area of the 10-sided shape = 570 / 64

Area of the 10-sided shape = 8.90625 cm²

Therefore, the area of the 10-sided shape is approximately 8.90625 cm².

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Answer: C. 0.8p

Step-by-step explanation:

Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price

The system of equations that model the situation is:

4c + 2s+ 3b == $29.51

c + 4s + 2b = $21.83

2c + 5s = $21.93

Simultaneous equations are more than one equation that would have to be solved jointlu in order to determine the required values.

Methods of solving simultaneous equations are:

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