celia made 3 1/2 cups of rice. A serving of rice is 2/3 cups. how many servings of rice did celia make?

Answer:

60%

Step-by-step explanation:

I hopes this helps.

Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

\(m = \boxed 7\)

Combine like terms

\(21=33\cdot \mathrm{m}-21-27\cdot \mathrm{m}\)

Group like terms

\(21=\left(33\cdot \mathrm{m}-27\cdot \mathrm{m}\right)-21\)

Simplify the arithmetic

\(21=6\cdot \mathrm{m}-21\)

Swap sides

\(6\mathrm{m}-21=21\)

Answer:

e.

Step-by-step explanation:

it can be simplified to 7a-7b

Therefore, the probability that the sample mean would be less than 150.8 millimeters is approximately 0.9382 (rounded to four decimal places).

To find the probability that the sample mean would be less than 150.8 millimeters, we can use the Central Limit Theorem and standardize the sample mean using the z-score.

First, calculate the standard error of the sample mean:

Standard Error = (Standard Deviation) / sqrt(sample size)

= 7 / √(39)

≈ 1.1172

Next, calculate the z-score:

z = (150.8 - Mean) / Standard Error

= (150.8 - 149) / 1.1172

≈ 1.5363

Now, we can find the probability using a standard normal distribution table or calculator. The probability that the sample mean would be less than 150.8 millimeters is the same as finding the area to the left of the z-score of 1.5363.

Using a standard normal distribution table or calculator, we find that the corresponding probability is approximately 0.9382.

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Answer:

x= 1 ±√21/3

x= 2.52753

x= - 0.527525

Step-by-step explanation:

-(-6) ±√-6² - 4 (3) (-4) / 2(3)

6±√36 -(-48) / 6

6±√84/6

6±2√21/6

6/6 ±2√21/6

1±√21/3

1+ √21/3 = 2.52753

1-√21/3= - 0.527525

Step-by-step explanation:

\(3x ^{2} - 6x - 4 = 0\)

\(by \: quadratic \: formula\)

\((-b±√(b²-4ac))/(2a) \)

\( - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) \)

\((6±√(36 + 48)/(6) \)

\((6±√(84)/(6) \)

\((6±2√21)/6\)

\(2(3±√21)/6 \)

\(3±√21/3\)

\(let \: \alpha \: and \: \beta \: be \: two \: roots \: .\)

\(3 + \sqrt{21} /3\)

\(3 + 4.58/3\)

\(7.48/3\)

\(2.52\)

\(and \: second \: root \: = 3 - \sqrt{21} /3\)

\(3 - 4.58/3\)

\( - 1.58/3\)

\( - 0.52\)

\(so \ \: alpha = 2.52 \: and \: \beta = - 0.52\)

Answer:

A and C

Step-by-step explanation:

There is no equal sides making it a scalene and it has a right angle making it a right triangle

Answer:

which angle?

......................................

<ACB = 46°

<BAC= 88°

Answer:

∠ A = 88²

Step-by-step explanation:

Since AB and AC are congruent then the triangle is isosceles with base angles congruent , both 46°

The sum of the 3 angles in the triangle = 180° , that is

∠ A + 46° + 46° = 180°

∠ A + 92° = 180° ( subtract 92° from both sides )

∠ A = 88°

The inverse of 7 modulo 11 is 4, which means that 4 multiplied by 7 gives a number congruent to 1 (mod 11). This means that 4 is the number that when multiplied by 7 gives a remainder of 1 when divided by 11.

In modular arithmetic, the inverse of a number is the number that when multiplied by the original number gives a result that is congruent to 1 (modulus). For example, if we take the modulus of 11 as an example, then the inverse of 7 modulo 11 is 4, since 7*4 = 28 ≡ 1 (mod 11). This means that 4 is the number that when multiplied by 7 gives a remainder of 1 when divided by 11. The inverse of a number modulo a given modulus can be calculated using the Extended Euclidean algorithm. This algorithm allows us to find the inverse of a number modulo a given modulus by solving a series of equations and using the result to calculate the inverse. For example, in the case of 7 mod 11, the Extended Euclidean algorithm gives us the result 4, which is the inverse of 7 mod 11.

11 = 7*1 + 4

7 = 4*1 + 3

4 = 3*1 + 1

3 = 1*3 + 0

By reading the equations from right to left, we can see that the inverse of 7 mod 11 is 4, since 4*7 = 28 ≡ 1 (mod 11).

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Answer:

6.2%

Step-by-step explanation:

The current tax rate for social security is 6.2% for the employer and 6.2% for the employee, or 12.4% total. The current rate for Medicare is 1.45% for the employer and 1.45% for the employee, or 2.9% total.

Answer:

Social security : 24.80

Step-by-step explanation:

Salary x social security tax rate = social security tax

400 x .062 (6.2%) = 24.80

Answer:

b=9

Step-by-step explanation:

Distribute First

8 x 9= 72     8 x -8= -64

72-64b+13=-491

Combine like terms

72 + 13= 85

-64b+85=-491

Subtract 85

85 - 85= 0    -491 - 85= -576

-64b=-576

Divide by -64

-64/-64= 1     -576/-64= 9

b=9

Hope this helped!

The number of rectangular faces a prism has is determined by the number of perpendicular faces in the prism. Since a prism has two identical bases, and these bases are rectangular in shape, it has two rectangular faces.

A prism is a polyhedron with two parallel and congruent bases. The lateral faces of a prism are all parallelograms or rectangles. The term lateral faces refers to the faces that connect the bases of the prism.

The number of rectangular faces in a prism is determined by the number of perpendicular faces in the prism. Since a prism has two identical bases, and these bases are rectangular in shape, it has two rectangular faces.
So, the answer to the question is that the given prism has two rectangular faces.


A rectangular prism, often known as a cuboid, is a solid that has six rectangular faces. It is a three-dimensional solid, and each of its faces is a rectangle.

The number of rectangular faces in a prism is determined by the number of perpendicular faces in the prism. In other words, the number of lateral faces in a prism equals the number of rectangular faces.

Since a prism has two identical bases, and these bases are rectangular in shape, it has two rectangular faces. As a result, a rectangular prism has two rectangular faces.

The faces of the rectangular prism consist of a pair of identical rectangles at the top and bottom, as well as four identical rectangles on the sides.

The rectangular prism is frequently used in geometry, and it is one of the simplest three-dimensional shapes.

A rectangular prism is also known as a cuboid. It is a box-shaped object. It has 6 faces, and all the faces are rectangles. It has 12 edges and 8 vertices. A rectangular prism has two identical bases.

It has four identical rectangles on the sides, and the bases are also rectangular.

The length, width, and height of the rectangular prism can all be different. In this case, the given prism has two identical bases, and thus, two rectangular faces.

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Answer: As we know that, Probability of an event =Number of favourable cases Number of total cases, We get, probability of choosing a prime number from 1 to 20 =820=25. Therefore, we get the probability of choosing a prime number from 1 to 20 as 25or 0.4.

The value of 0.6 is greater than the value of 0.39 because; C 0.6 is greater than 0.39 because 6 tenths is greater than 9 hundredths.

When we are talking about decimals, the left hand side before the decimal are referred to as whole numbers while the first digit after the decimal represents the tenths place, the next digit after the tenths place  represents the hundredths place, the next digit after the hundredths place represents the thousandths place and so on.

Now, we are given two decimals 0.6 and 0.39.

We see clearly that 0.6 has a greater tenths digit than the hundredths digit in 0.39. This is seen as;

0.6 = 6/10 while 0.39 = 39/100

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The nonlinear regression model that specifies the given shape is option (d): yi = exp(β0 + β1x1i + β2x2i + ui).


Option (d) represents a nonlinear regression model where yi (the dependent variable) is equal to the exponential function of the sum of β0 (intercept), β1x1i (the coefficient of the first independent variable x1i), β2x2i (the coefficient of the second independent variable x2i), and ui (the error term).

The exponential function introduces nonlinearity into the model, allowing for curved or nonlinear relationships between the dependent variable and the independent variables. This form is suitable for capturing complex nonlinear shapes in the data. The other options either lack the necessary components (coefficients or nonlinearity) or provide a linear specification.

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A. If the bank had compounded the interest quarterly for the three years, the interest rate would be divided by 4 (since there are 4 quarters in a year) and the number of compounding periods would be multiplied by 4. This is because the interest would be calculated and added to the account balance every quarter, rather than just once a year.

B. To represent the account balance if interest is compounded quarterly, we need to use the formula for compound interest with quarterly compounding:

A = P(1 + r/n)^(nt)

where A is the account balance, P is the principal (initial deposit), r is the annual interest rate (8.5%), n is the number of times the interest is compounded per year (4 for quarterly compounding), and t is the number of years (3).

Substituting the given values into the formula, we get:

A = 1500(1 + 0.085/4)^(4×3)

A = 1500(1.02125)^12

A ≈ $1,969.36

Therefore, the new expression for the account balance, in dollars, if interest is compounded quarterly is:

$1,969.36 = 1500(1 + 0.085/4)^(4×3)

Answer:

Angles T and W are congruent to each other. Angles U and X are congruent to each other.

Step-by-step explanation:

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's write the equation of line in slope point form ~

\(\qquad \sf  \dashrightarrow \:y - y1 = m(x - x1)\)

\(\qquad \sf  \dashrightarrow \:y -2 = 3(x -1)\)

\(\qquad \sf  \dashrightarrow \:y -2 = 3x - 3\)

\(\qquad \sf  \dashrightarrow \:y = 3x -1\)

Now, let's use this equation of line to plot two points ~

Now, plot these points on graph ~

The forecast for the next period when the actual demand turned out to be 278 will be 294 units.

The method of forecasting entails creating assumptions based on historical and current data. These might then be contrasted with what transpires.

Ft = 290, Tt = 8, α = 0.40, δ = 0.50, At = 278. Then the forecast for the next period will be

FITt = Ft + Tt

       = 290 + 8

       = 298 units

Ft + 1 = FITt + α(At − FITt)

        = 298 + 0.40(278 − 298)

        = 298 − 8

        = 290 units

Tt + 1 = Tt + δ(Ft + 1 − FITt)

         = 8 + 0.50(290 − 298)

         = 8 − 4

         = 4 units

FITt + 1 = Ft + 1 + Tt + 1

            = 290 + 4

            = 294 units

The forecast for the next period will be 294 units.

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Answer:

The number of days

Step-by-step explanation:

Since the person sold at saturday and sunday, and it says x represents the number of books sold and 3 represents that 3 more was sold in sunday. Therefore we need to know how much it sold throughout the weekend, so we need to know the number of days to calculate, thus 2 must represents the number of days.

Answer:

C

Step-by-step explanation:

Plug the values of f(x) and g(x) into the equation.

(8x^3 + 16x^2 -15)/2x+1

Then divide or simplify

I'm not exactly sure how to explain how to divide this but I'm sure of my answer

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer: Mean: 17.14                                                                                           Range: 20.

Step-by-step explanation: 12+13+13+15+16+19+32                             25+13+15+16+19+32                                                                                             38+15+16+19+32                                                                                               53+16+19+32                                                                                                         69+19+32                                                                                                               88+32                                                                                                                     120/7                                                                                                                     17.14                                                                                                                                                    

32-12                                                                                                                       20

fourty four percent hope this helps !

The distance between the man and the starting point will be 13.08 km.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that a man walks due west for 4km. He then changes direction and walks on a bearing of 197°.

The distance will be calculated as,

tanΘ = P/B

tan(73) = y / 4

y = 4tan73

y = 13.08 km

Therefore, the distance between the man and the starting point will be 13.08 km.

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The measure of Angle A in degrees is approximately 219.99 degrees

To find the measure of Angle A in degrees, we need to consider the given information: the circle is centered at the vertex of Angle A, the subtended arc is 4.4 cm long, and \(\frac{1}{360}\)th of the circle's circumference is 0.02 cm.

Step 1: Calculate the circumference of the circle.
Since 1/360th of the circumference is 0.02 cm, we can find the entire circumference by multiplying 0.02 cm by 360.
Circumference = 0.02 cm (360) = 7.2 cm

Step 2: Determine the proportion of the circumference that corresponds to the subtended arc.
Divide the length of the arc (4.4 cm) by the circumference (7.2 cm).
\(Proportion = \frac{4.4}{7.2} = 0.6111\)

Step 3: Calculate the measure of Angle A in degrees.
Since the proportion corresponds to the fraction of the circle's circumference, we can find the angle by multiplying this proportion by 360 degrees.
Angle A = 0.6111 (360 degrees) =219.99 degrees

The measure of Angle A in degrees is approximately 219.99 degrees.

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(a) x² + y² + z² = 49 represents a sphere with radius 7 in Cartesian coordinates, which can be written as ρ² = 49 in spherical coordinates.

(b) x² - y² - z² = 1 represents a hyperboloid of one sheet in Cartesian coordinates, which can be expressed in spherical coordinates as ρ^2 sin^2θ cos^2φ - ρ^2sin^2θsin^2φ - ρ^2cos^2θ = 1.

(a) The equation x² + y² + z² = 49 represents a sphere with radius 7 centered at the origin in Cartesian coordinates. In spherical coordinates, the equation can be written as ρ² = 49, where ρ is the radial distance from the origin.

This equation shows that all points with a distance of 7 units from the origin lie on the surface of the sphere.

(b) The equation x² - y²- z² = 1 represents a hyperboloid of one sheet in Cartesian coordinates. To express it in spherical coordinates, we need to make a coordinate transformation.

Using the relationships x = ρsinθcosφ, y = ρsinθsinφ, and z = ρcosθ, where ρ is the radial distance, θ is the polar angle, and φ is the azimuthal angle, we can rewrite the equation as ρ²sin^2θcos^2φ - ρ^2sin^2θsin^2φ - ρ^2cos^2θ = 1.

Simplifying this equation gives us the equation of the hyperboloid in spherical coordinates.

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A statement 'The function f(x)=log0. 75x is decreasing' is True.

We know that a function, y = f(x) is a decreasing function when (dy/dx) ≤ 0 for all such values of interval (a, b).

Consider a function  f(x)=log(0.75^x)

We write a function f(x) as,

f(x) = log(0.75^x)

f(x) = log[(3/x)^x]

f(x) = log(\(\frac{3^x}{4^x}\))

Now we find the derivative of above function with respect to x.

f'(x) = d/dx [ log(\(\frac{3^x}{4^x}\))]

f'(x) = \(1/(\frac{3^x}{4^x} )\) [d/dx (\(\frac{3^x}{4^x}\))]

f'(x) = \((\frac{4^x}{3^x})[\frac{4^x[3^xlog(3)]-3^x[4^xlog(4)]}{4^{2x}} ]\)

f'(x) = log(3) - log(4)

f'(x) = -0.1249

f'(x) < 0

So, the function f(x) is a decreasing function.

Thus the statement is True.

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Answer:

A) J(7,-15)

K(-21,62)

W(14,32)

Step by Step explanation:

P(x,y)----Rotation 180--->P(-x,-y)

J(-7,15)------------------------>J(-7,15)

K(21,-62)------------------------>K(-21,62)

W(-14,-32)------------------------>W(14,32)