Write the equation of each circle

In total 5 days, she has paid: 5 x $2 = $10 for the sandwiches

In total 5 days, she has paid: $50 - $10 = $40 for the comics

So, she paid: $40 / 5 = $8 for each comic

If helpful, brainliest please !

The value of sin(∝) is -√56/15

The given parameter is:

cos(∝) = -13/15

To determine the sine, we use the following identity

sin^2(∝) = 1 - cos^2(∝)

So, we have:

sin^2(∝) = 1 - (-13/15)^2

This gives

sin^2(∝) = 1 - 169/225

Evaluate the difference

sin^2(∝) = 56/225

Take the square root of both sides

sin(∝) = ±√56/15

sin(∝) is negative in quadrant III.

So, we have:

sin(∝) = -√56/15

Hence, the value of sin(∝) is -√56/15

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Answer:

X = -5

Step-by-step explanation:

See image for explanation

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

X=+2^5 A

Step-by-step explanation:

Answer:

148% of 203 is 300.44

Step-by-step explanation:

50%

since 98/2 = 49

Thats it

Assuming the force is applied horizontally over a flat surface, the net horizontal force is

F (h) = 24 N - 12 N = (10 kg) a

Solve for the acceleration a :

12 N = (10 kg) a

a = 1.2 m/s²

Meanwhile, the net vertical force is zero since the box of only moving horizontally.

F (v) = n - (10 kg) g = 0

where n is the magnitude of the normal force exerted upward by the surface. We see that

n = (10 kg) (9.8 m/s²)

n = 98 N

The friction force has a magnitude that is proportional to the normal force,

12 N = μ (98 N)

where μ is the coefficient of kinetic friction. Solve for μ :

μ = (12 N)/(98 N)

μ ≈ 0.12

Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

Answer:

0.44

Step-by-step explanation:

Also I highly highly respect you doing this for roblox. I wish you the best of luck!

Answer:

00.4 I used to do this!!

Step-by-step explanation:

Hope this helps!!!

HAVE AN AMAZING DAY

Answer:

640 and 400

Step-by-step explanation:

Cost of books: x and 1040 -x

x sold at a loss of 15%= 0.85 x

1040 -x sold at  a profit of 36% = (1040 - x)*1.36

Answer:

2x + 10 = x

Step-by-step explanation:

Let him mows x

Robert mows

The equation represents the linear relationship of x-values and the y-values in the table is b y = -5x - 5

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

x     y

-1    -11

1     -1

A linear equation is represented as

y = mx + c

Using the points in the table, we have

-m + c = -11

m + c = -1

When the equations are added, we have

2c = -10

So, we have

c = -5

This means that

5 + c = -1

So, we have

c = -6

So, the equation is y = -5x = 6

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We are given i.i.d. Bernoulli trials with success probability p, and we need to find the conditional probability mass function of Sm, given Sn-k. The distribution that arises in this problem is the binomial distribution.

The binomial distribution is the probability distribution of the number of successes in a sequence of n independent Bernoulli trials, with a constant success probability p. In this problem, we are considering a subsequence of n-k trials, and we need to find the conditional probability mass function of the number of successes in a subsequence of m trials, given the number of successes in the remaining n-k trials. Since the Bernoulli trials are independent and identically distributed, the probability of having k successes in the remaining n-k trials is given by the binomial distribution with parameters n-k and p.

Using the definition of conditional probability, we can write:

P(Sm = s | Sn-k = k) = P(Sm = s and Sn-k = k) / P(Sn-k = k)

=\(P(Sm = s)P(Sn-k = k-s) / P(Sn-k = k)\)

=\((n-k choose s)(p^s)(1-p)^(m-s) / (n choose k)(p^k)(1-p)^(n-k)\)

where (n choose k) =n! / (k!(n-k)!)  is the binomial coefficient.

We can use this conditional probability mass function to find E[Sm | Sn-k]. By the law of total expectation, we have:

\(E[Sm] = E[E[Sm | Sn-k]]\)

=c\(sum{k=0 to n} E[Sm | Sn-k] P(Sn-k = k)\\= sum{k=0 to n} (m(k/n)) P(Sn-k = k)\)

where we have used the fact that E[Sm | Sn-k] = mp in the binomial distribution.

Thus, the conditional probability mass function of Sm, given Sn-k, leads to an expression for the expected value of Sm in terms of the probabilities of Sn-k.

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Answer:

where's the question at ?

Answer:

2nd, 3rd, and 6th option are correct

Step-by-step explanation:

using a²+b²=c² those are the obly that meet the criteria (im pretty sure)

In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

ABC is a right angle triangle.

And BD is perpendicular to AC.

To show the equations which are true,

Use Pythagorean theorem,

(Hypotenuse)² = (base)² + (height)²

In triangle ABC,

AC² = AB² + BC²

In triangle ABD,

(AB)² = AD² + BD²

And in triangle BCD,

BC² = CD² + BD²

Therefore, option (2), (3) and (6) are correct.

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Answer:

V=  (pi) (r squared) (h)

Step-by-step explanation:

ANSWER

LJ = 2

EXPLANATION

The scale factor is 6, so each side of triangle J'K'L' has a length that is 6 times the length of each corresponding side from triangle JKL:

Replacing L'J'=12 and solving

After the conversion of $500 in japanese yen Ben will have 61,650 yen.

According to the question.

The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.

Also, it is given that

$1 = 123.3yen

Therefore,

The number of yen Ben have after the conversion of dollars in yen

= 500 × 123.3

= 61,650

Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.

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A bell-shaped probability distribution that is symmetrical about its mean is the student's t-distribution. In the following situations, it is thought to be the distribution that should be used to build confidence intervals when working with little samples that have fewer than 30 components if it is unclear what the population variance is.

When the involved distribution is either normal or nearly normal.

A t-distribution is used to test the following in addition to being used to build confidence intervals:

Individual population mean

The variations in two population means.

The average variation among paired (dependent) populations.

The correlation coefficient for the populace.

If the sample size is high enough for the central limit, a t-distribution may still be viable for usage even in the absence of explicit normality for a specific distribution theorem that must be used. In this scenario, the distribution is regarded as roughly normal.

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c) 84%

hope this helps :)

85% of take-home pay is spent on expenses option (D)85% is correct.

It is given that in the chart there are various expenses.

It is required to find the percentage of take-home pay is spent on expenses.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a total take-home salary = $5388

Total expenses = $4558

In percentage it can be expressed as follows:

\(=\frac{4558}{5388}\times100\)

\(=0.84595\times100\\\\= 84.595 \ \%\)

or ≈ 85%  (round to nearest whole)

Thus, 85% of take-home pay is spent on expenses.

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The directional derivative of the function g(x, y, z) = xye^4z at point p(5, 20, 0) in the direction of pq can be found using the gradient. The directional derivative is equal to the dot product of the gradient of the function at point p and the unit vector in the direction of pq. The directional derivative of the function g(x, y, z) = xye^4z at point p(5, 20, 0) in the direction of pq is -200/√425.

To find the gradient of g(x, y, z), we need to compute the partial derivatives with respect to each variable:

∂g/∂x = ye^4z
∂g/∂y = xe^4z
∂g/∂z = 4xye^4z

Evaluating these partial derivatives at point p(5, 20, 0), we have:

∂g/∂x = 20e^0 = 20
∂g/∂y = 5e^0 = 5
∂g/∂z = 4(5)(20)e^0 = 400

The directional derivative in the direction of pq is given by the dot product of the gradient and the unit vector in the direction of pq. The unit vector in the direction of pq is obtained by normalizing the vector pq, which is (0 - 5, 0 - 20, 0 - 0) = (-5, -20, 0). Normalizing this vector gives us (-5/√425, -20/√425, 0).

Taking the dot product of the gradient (20, 5, 400) and the unit vector (-5/√425, -20/√425, 0), we have:

Directional derivative = (20)(-5/√425) + (5)(-20/√425) + (400)(0) = -100/√425 - 100/√425 = -200/√425.

Therefore, the directional derivative of the function g(x, y, z) = xye^4z at point p(5, 20, 0) in the direction of pq is -200/√425.

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Answer:

Step-by-step explanation:

surface area of a rectangular prism = 2(LW + WH + LH)

where

L = 4cm

W = 2cm

H = 3cm

plugin values into the formula:

As = 2(4*2 + 2*3 + 4*3)

As = 52 sq. cm

Answer:

A.52 sq. cm

Step-by-step explanation:

Given: l = 4 cm, w = 2 cm, h = 3 cm

Surface area of a rectangular prism

=2(l*w + w*h+h*l)

= 2(4*2 + 2*3 + 3*4)

= 2(8 + 6 + 12)

= 2*26

= 52 sq. cm

Answer:

The person must leave the money for approximately 14.8 years.

Step-by-step explanation:

This can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n …………………………………. (1)

Where;

FV = Future value of the investment = 5600

PV = Present value of the investment = 3000

r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125

n = number of semiannuals = ?

Substitute the values into equation (1) and solve for n, we have:

5600 = 3000 * (1 + 0.02125)^n

5600 / 3000 = 1.02125^n

1.02125^n = 1.86666666666667

Loglinearizing both sides, we have:

nlog1.02125 = log1.86666666666667

n = log1.86666666666667 / log1.02125

n = 0.271066772286539 / 0.0091320695404719

n = 29.6829509548973

Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:

Number of years = 29.6829509548973 / 2 = 14.8414754774487

Rounding to the nearest tenth of year, we have:

Number of years = 14.8

Therefore, the person must leave the money for approximately 14.8 years.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 6000\\ P=\textit{original amount deposited}\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &10 \end{cases}\)

\(6000 = P\left(1+\frac{0.12}{4}\right)^{4\cdot 10} \implies 6000=P1.03^{40} \\\\\\ \cfrac{6000}{1.03^{40}}=P\implies 1839.34\approx P\)

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Answer:

3x²-11x-6

Step-by-step explanation:

(3x+2)(-x-3)

Then you Foil, AKA multiply the First Outside Inside and Last and then add them together

3x²-9x-2x-6