the sum of two numbers is 52 the larger number is 4 more than 2 times the smaller number find both numbers let x be the smaller number

She would be able to fill only one spherical mold with a diameter of 5 cm.

To calculate the number of spherical molds with a diameter of 5 cm that Carmen can fill with the same amount of powder, we need to compare the volumes of the two different sizes of molds.

The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Let's calculate the volumes of the two different sizes of molds:

For the molds with a diameter of 4 cm:

- Radius (r) = diameter / 2 = 4 cm / 2 = 2 cm

- Volume (V1) = (4/3) * π * (2 cm)^3 ≈ 33.51 cubic centimeters

For the molds with a diameter of 5 cm:

- Radius (r) = diameter / 2 = 5 cm / 2 = 2.5 cm

- Volume (V2) = (4/3) * π * (2.5 cm)^3 ≈ 65.45 cubic centimeters

Now, let's calculate the number of molds with a diameter of 5 cm that can be filled with the same amount of powder:

Number of molds = V1 / V2 = 33.51 cubic centimeters / 65.45 cubic centimeters ≈ 0.512

Since we can't have a fraction of a mold, Carmen would be able to fill 0 molds with a diameter of 5 cm with the same amount of powder. In other words, she would not be able to fill any spherical molds with a diameter of 5 cm using the given amount of powder.

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The other equation is -y = -2x - 3.

The correct option is C.

To have a system of equations with infinitely many solutions, the two equations must be dependent and represent the same line or have the same slope and y-intercept.

The given equation is 2y - 4x = 6.

By comparing the given equation to the options:

a) y = 2x + 6

The slope of this equation is 2, which is different from the slope of the given equation (-2).

Therefore, this equation does not represent the same line or have the same slope and y-intercept.

b) y = 4x + 6

The slope of this equation is 4, which is different from the slope of the given equation (-2).

Therefore, this equation does not represent the same line or have the same slope and y-intercept.

c) y = -2x - 3

The slope of this equation is -2, which is the same as the slope of the given equation (-2). However, the y-intercept of this equation is -3, which is different from the y-intercept of the given equation (0).

d) y = -4x + 6

This equation does not represent the same line or have the same slope and y-intercept.

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Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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Answer:

Step-by-step explanation:

Expression to show the cost of t teacher tickets and s student tickets:

Answer:

Step-by-step explanation:

Answer:

27/3 = 9

Step-by-step explanation:

"How many times does 3 go into 27?" is the same as asking "How much is 27 divided by 3?" Thus, the answer can be calculated as follows:

27/3 = 9"How many times does 3 go into 27?" is also the same as asking "What (x) do you multiply by 3 to get 27?" We solve the problem with an easy algebra equation:

3(x) = 27

x = 9

Tip: When you get a question like "How many times does 3 go into 27?", just think of it as how many times you can fit 3 into 27.

The answer on this page is rounded to the nearest decimal if necessary.

Answer:

7.8

Step-by-step explanation:

60 × 13%

= 60 × 0.13

= 7.8

Answer:

----------------------------

Parallel lines divide transversals proportionally.

Set proportions and solve for x:

Answer:

The value it wants to be

Step-by-step explanation:

Answer:

-29/3 i think

Step-by-step explanation:

Step-by-step explanation:

what to find then??.........

Answer:

50 miles.

Step-by-step explanation:

You can visualize this as a triangle. the west route is one leg and the south route is the other. The distance from the starting point is the hypotenuse. 48^2+14^2=c^2, c=50.

Answer:

50

Step-by-step explanation:

\(48^{2} + 12^{2} = x^{2} \\X= 50\)

Answer:

1 3/4 × 3 3/7 = 6 in simplest form.

Step-by-step explanation:

To multiply 1 3/4 by 3 3/7, we first convert the mixed numbers to improper fractions.

1 3/4 = (4 x 1 + 3)/4 = 7/4

3 3/7 = (7 x 3 + 3)/7 = 24/7

Now, we can multiply the two fractions:

(7/4) x (24/7) = (7 x 24)/(4 x 7) = 168/28

To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 4.

168/28 = (4 x 42)/(4 x 7) = 42/7

Finally, we can simplify the improper fraction to the mixed number:

42/7 = 6

Therefore, 1 3/4 × 3 3/7 = 6 in simplest form.

4x+6y^3x^2

Step-by-step explanation:

Answer: The statement "No U.S. president has been younger than 65 at the time of his inauguration" is false. A counterexample can be found in the table provided:

John F. Kennedy was 43 years old at the time of his inauguration, which is younger than 65. Therefore, John F. Kennedy serves as a counterexample that disproves the given statement.

Step-by-step explanation:

The statement claiming no U.S. president has been younger than 65 at the time of inauguration is false. Theodore Roosevelt, John F. Kennedy, and Barack Obama were all inaugurated while younger than 65, with Roosevelt being the youngest inaugural president at 42.

The statement 'No U.S. president has been younger than 65 at the time of his inauguration' is proven to be false through the use of counterexamples. Theodore Roosevelt, John F. Kennedy, and Barack Obama were all under the age of 65 at the time of their inaugurations. It can therefore be concluded that the original statement is not true. For example, Theodore Roosevelt was only 42 years old when he was inaugurated, making him the youngest U.S. president at the time of inauguration.

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Answer:

C pi/9

Explanation:

"We need to find the number that is not between 1 and 6.28.

A pi = 3.14; 3.14 is between 1 and 6.28, so this is not the answer.

B sqrt(9) = 3; 3 is between 1 and 6.28, so this is not the answer.

C pi/9 = 3.14/9 = 0.349; 0.349 is not between 1 and 6.28, so this is the answer.

D pi^2/9 = (3.14 * 3.14)/9 = 9.86/9 = 1.095; 1.095 is between 1 and 6.28, so this is not the answer." (mathstudent55) thank you to mathstudent55 for the answer.

Answer:

10

Step-by-step explanation:

Squareroot of 10 over 12 is 2

3 pi is 9.424777961

Answer:

I think he might need 100ml.

Step-by-step explanation:

Brandon needs to use 100 ml of water to make 250 ml of hand sanitizer.

The percentage is defined as a ratio expressed as a fraction of 100.

To save money, Brandon made his own hand sanitizer. Hand sanitizer needs 60% alcohol to be effective.

We have to determine the amount of water to manufacture 250ml of hand sanitizer.

To make 250ml of hand sanitizer with 60% alcohol, Brandon needs to use 250ml x 60% = 150ml of alcohol.

Since the total volume of the hand sanitizer is 250ml,

Brandon needs to use 250ml - 150ml = 100ml of water to make 250ml of hand sanitizer.

Therefore, he needs to use 100 ml of water to make 250 ml of hand sanitizer.

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Answer: 0

Step-by-step explanation:

Range = Highest number - lowest number

range = 6 - 6

range = 0

A linear equation - y = 5x -7 is a slant line with intercepts for linear equations. A vertical line is x = 2. A line that runs through the origin is y = 3/4x.

A slant line with intercepts is y = 1/2x + 3. A horizontal line is y = 9. The line x = -1 runs vertically.

A direct condition is one that has a level of 1 as its most extreme worth. As a result, there is no variable in a linear equation with an exponent greater than 1. The graph of a linear equation will always be straight.

This line is not horizontal or vertical when the equation is graphed; rather, it is slant.

Additionally, this line does not traverse the origin. As a result, this equation has intercepts and slant lines.

Since there is no y-intercept in this equation, it will be a vertical line that runs parallel to the y-axis.

Additionally, this line does not traverse the origin. As a result, this equation has a line that runs vertically.

This line is not horizontal or vertical when the equation is graphed; rather, it is slant.

Additionally, this line actually traverses the origin. As a result, the origin of this equation is traversed by slant lines.

This line is not horizontal or vertical when the equation is graphed; rather, it is slant.

Additionally, this line does not traverse the origin. This equation is therefore a slant line with intercepts.

Since there is no x-intercept in this equation, it will be a horizontal line that runs parallel to the x-axis.

Additionally, this line does not traverse the origin. As a result, there is a horizontal line in this equation.

Since there is no y-intercept in this equation, it will be a vertical line that runs parallel to the y-axis.

Additionally, this line does not traverse the origin. As a result, this equation has a line that runs vertically.

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Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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Mathematical approaches to aggregate planning involve using quantitative methods to determine the optimal production and resource allocation strategies over a specified planning horizon. These approaches utilize mathematical models to optimize various factors such as production costs, inventory levels, and customer demand.

One mathematical approach to aggregate planning is linear programming, which formulates the planning problem as a linear optimization model. Linear programming considers constraints such as capacity limits, labor availability, and demand variability to find the best allocation of resources and production levels. The objective is to minimize costs or maximize profit while meeting demand requirements.

Another approach is the use of mathematical forecasting techniques to predict future demand. Time series analysis, regression analysis, and other statistical methods can be employed to forecast demand patterns. These forecasts serve as inputs to mathematical models, such as inventory control models or production planning models, which determine the optimal production levels and inventory policies based on the anticipated demand.

Simulation modeling is another mathematical approach where computer-based simulations are used to evaluate different scenarios and make decisions about production levels, inventory levels, and workforce scheduling. These models consider various factors like demand variability, production capacity, and resource availability to simulate the system's behavior and analyze the impact of different planning strategies.

Overall, mathematical approaches to aggregate planning provide a systematic and quantitative way to optimize production and resource allocation decisions, considering factors such as demand, capacity, costs, and constraints. These approaches help organizations make informed decisions to meet customer demand efficiently while minimizing costs and maximizing operational performance.

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The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

Minor of 2: -3

Cofactor of 2: -18

Minor of -8: -2

Cofactor of -8: 16

Minor of 5: -1

Cofactor of 5: 5

Minor of 3: 9

Cofactor of 3: -3

Minor of 9: -2

Cofactor of 9: -18

Minor of 6: -3

Cofactor of 6: 18

Minor of -1: -3

Cofactor of -1: 3

Minor of -2: 6

Cofactor of -2: -12

Minor of -3: 5

Cofactor of -3: -5

The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.

The given 2 x 3 matrix is composed of the values 2, -8, 5, 3, 9, 6, -1, -2, and -3. The minors of the matrix can be found by using the Laplace expansion formula and removing the row and column of the element in question. This yields the minors -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors of the matrix can be calculated by taking the determinant of the minor and multiplying it by the sign of the element in question. This results in the cofactors -18, 16, 5, -3, -18, 18, 3, -12, and -5.

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Answer:

3/4n=15

1/4n=15/3

4n=3/15

n=3/15×4

n=3/60

n=1/20

Step-by-step explanation:

make me brainiest if it helpes you

Answer:

n=20

Step-by-step explanation:

4 * 3/4n=15 * 4

3n=60

3n/3=60/3

n=20

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

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Greatest number that divides 300, 560 and 500 is 20 .

Given numbers : 300, 560 and 500

First let’s find prime factors of 300,560 and 500

300 = 2^2 *3^1 *5^2

560= 2^4 * 7^1 *5^1

500 = 2^2 * 5^3

So,

Here highest common power of 2 is 2

Here highest common power of 3 is 0

Here highest common power of 5 is 1

Here highest common power of 7 is 0

Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0

=4*5*1*1

= 20

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The correct option is (c) it gets smaller as the sample size grows. This is because as the sample size increases, the variability within the sample decreases, and the sample mean becomes a more accurate representation of the population mean.

Here are the options: (a) the sample size has no effect on it (b) it gets larger as the sample size grows (c) it gets smaller as the sample size grows.

Explanation: The standard deviation of all possible sample means is known as the standard error. As the sample size (n) increases, the standard error decreases because the larger the sample, the more accurately it represents the population. The relationship between standard error and sample size is given by the formula:

Standard Error (SE) = σ / √n

where σ is the population standard deviation and n is the sample size. As the sample size grows, the denominator (√n) increases, resulting in a smaller standard error.

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Answer:

y-1=-3(x+2)

Step-by-step explanation:

The number of different routes he can take is 1287.

Given:

A jogger jogs every morning to his health club, which is eight blocks east and five blocks north of his home. He always takes a route that is as short as possible, but he likes to vary it .

Total blocks = 8+5 = 13

Number of different routes = \(13_C_5\)

= 13!/5!(13-5)!

= 13!/5!8!

= 13*12*11*10*9*8!/5!8!

= 13*12*11*10*9 / 5*4*3*2*1

= 13*11*9

= 1287

Therefore The number of different routes he can take is 1287.

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Answer:

The answer is -512

Step-by-step explanation

8*8*8= 512 and the cube root of 512 is 8 and the cube root answer is negative so 512 is negative

The rational numbers are represented by the following expressions:

a) A = √100 √100

b) B = 13.5+√81

c) C = √9 + √729

d) F = 3/5 + 2.5

Given data ,

Let the rational expressions be represented as A , B , C , D , E , F

where the values of expressions are

a)

A = √100 √100

On simplifying the equation , we get

A = 10 x 10

A = 100 ( rational )

b)

B = 13.5+√81

B = 13.5 + 9

B = 22.5 ( rational )

c)

C = √9 + √729

C = 3 + 27

C = 30 ( rational )

d)

D = √64 + √353

D = 8 + √353 ( irrational )

e)

E = 1/3+√216

E = 1/3 + √216 ( irrational )

f)

F = 3/5 + 2.5

F = 0.6 + 2.5

F = 3.1 ( rational )

Hence , the rational numbers are solved

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The complete question is attached below :

Which expressions represent rational numbers? Select all the apply.

√100/100

13.5+√81

√√9+√729

√64+√353

1/3+√216

3/5+2.5