A cone has a radius of 4.96 cm and a volume of 102 cm³
The question is asking for an estimate so I rounded the values that I have
Can anyone use MY working out (1 mark) to solve the rest of the question pls?

On solving the system of equations 1x + 4y = 73 and 9x + 5y = 192, the value for one plain and one shiny wrapping paper is obtained as $13 and $15 respectively.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let the cost of plain wrapping paper be x.

Let the cost of shiny wrapping paper be y.

Stephanie sold 1 roll of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $73.

The equation for Stephanie is -

1x + 4y = 73 ..... (1)

Aliyah sold 9 rolls of plain wrapping paper and 5 rolls of shiny wrapping paper for a total of $192.

The equation for Aliyah is -

9x + 5y = 192 ....... (2)

Multiply equation (1) by 9 -

9x + 36y = 657 ....... (3)

Subtract equation (2) form (3) -

9x + 36y - (9x + 5y) = 657 - 192

9x + 36y - 9x - 5y = 465

31y = 465

y = 465 / 31

y = 15

Therefore, the cost of one shiny wrapping paper is $15.

Substitute the value of y in equation (1) -

1x + 4(15) = 73

x = 73 - 60

x = 13

Therefore, the cost of one plain wrapping paper is $13.

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The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

According to Hookes law

F = ke

where

F is the applied force = 40N

k is the spring constant

e is the extension  = 0.5

Substitute

40 = 0.5e

e = 40/0.5

e = 80cm

Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it

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Answer: Pretty sure it is C. 3.324 seconds

Step-by-step explanation: tell me if im wrong tho, Brainliest is appriciated

Answer:a

Step-by-step explanation:

x=8 +y3681

The correct answer is option  c. Interval. The level of measurement for the data set described is Interval.

This is so because the data set calculates each student's enrollment in classes during the course of a semester at a particular college.

Numerical information that is measured on a scale with evenly spaced intervals but lacks an absolute zero point is called interval data.

The numerical values themselves do not reflect quantities or have any absolute value, but the intervals between them all have the same size.

The interval between 3 classes and 4 classes, for instance, would be the same as the interval between 8 classes and 9 classes if the data set were measuring the number of classes each student took in a semester, but 3 classes and 8 classes do not have any such absolute value.

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Answer: 6

Step-by-step explanation:

 the reason why is because all you got to do is subtract and then you get the answer step 1: forget what color they are step 2: add 5+3=8 then from 8 subtract 2 and the answer is 7 your welcome.

Answer:

58

Step-by-step explanation:

The height of the cylinder is 14 meter.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \pi r^2 h \: \rm unit^3\)

Given data volume of this cylinder is 8,616.16 cubic meters.

Radius=  14 m

We know that the expression for the volume of a cylinder is;

\(V=\pi r^2h\)

Now substitute;

8,616.16 =3.14 x 14^2 x h

8,616.16  = 615.44 x h

h = 8,616.16  / 615.44

h = 14

Hence the height of the cylinder = 14 meter.

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Answer:

y=2x-5

Step-by-step explanation:

y=mx+c

mx=slope

In this case, the slope is already given to you which means the m=2.

y=2x+c.

The coordinates are (14, 23) and when you put -5 into c, the line goes through the coordinates (14, 23).

Hope this helps!

:a. sec(β) = `6/11`b. sin (β) = `5/6`c. Cot(β) = `2.01` (approximately)d. Sin(β - 90˚) = `√11/6` = `0.95` (approximately) are the exact values of each indicated trigonometric function.

Given function value is `cos(β) = √11/6` where `0˚ ≤ β ≤ 90˚` and `0 ≤ β ≤ π/2`.

To find the exact value of each indicated trigonometric function, we need to first find sin(β), tan(β), cos(β), csc(β), sec(β), and cot(β) where `0˚ ≤ β ≤ 90˚` and `0 ≤ β ≤ π/2`.

We know that `sin²(β) + cos²(β) = 1`.So, `sin(β) = ± √(1 - cos²(β))`Since `0˚ ≤ β ≤ 90˚`, `sin(β) = √(1 - cos²(β))`Now, `sin(β) = √(1 - (√11/6)²)`  = √(1 - 11/6)  = √(6/6 - 11/6)  = √(-5/6)

Since the value of β lies in the first quadrant, sin(β) is positive. Therefore, `sin(β) = √(5/6)`We also know that `tan(β) = sin(β)/cos(β)`.So, `tan(β) = (√(5/6))/((√11)/6)`

Now, `tan(β) = (6√5)/11`Similarly, we can find the values of all other trigonometric functions.a. sec(β) = `1/cos(β)` = `1/(√11/6)` = `6/√11` = `6/11`b. sin (β) = `√(5/6)` = `5/6`c. Cot(β) = `1/tan(β)` = `1/((6√5)/11)` = `11/(6√5)` = `(11/6) * (1/√5)` = `11/(6√5)` * `(√5/√5)` = `(11√5)/30` = `(11/5.48)` = `2.01` (approximately)d. Sin(β - 90˚) = `cos(β)` = `√11/6`

Therefore, the exact value of each indicated trigonometric function is:a. sec(β) = `6/11`b. sin (β) = `5/6`c. Cot(β) = `2.01` (approximately)d. Sin(β - 90˚) = `√11/6` = `0.95` (approximately).

Therefore, the options (a), (b), (c), and (d) are (6/11), (25/36), (11/5), and (11/6) respectively.

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all you need to do is 4000÷25=160

The linear equation in slope-intercept form is: y = 25x + 4000.

The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:

y = mx + b

m represents the slope of the line, which represents the cost per service call.

Since each service call costs the company $25, the slope (m) is 25.

b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.

Therefore, the linear equation in slope-intercept form is: y = 25x + 4000

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Maximize Z = -2x1 + x2 - 4x3 + 3x4 subject to the following constraints:

x1 + x2 + x3 + 2x4 + s1 = 4,

-x1 + x3 + x4 - s2 = -1,

2x1 + x2 + s3 = 2,

and x1 + 2x2 + x3 + 2x4 = 2, where x1, x2, x3, x4, s1, s2, s3 ≥ 0.

To reformulate the given problem in the standard form of a linear programming model, we need to convert all the inequalities into equations and express all variables as non-negative.

The standard form of a linear programming problem is as follows:

Maximize (Z) = c1x1 + c2x2 + c3x3 + c4x4

Subject to:

a11x1 + a12x2 + a13x3 + a14x4 = b1

a21x1 + a22x2 + a23x3 + a24x4 = b2

a31x1 + a32x2 + a33x3 + a34x4 = b3

an1x1 + an2x2 + an3x3 + an4x4 = bn

x1, x2, x3, x4 >= 0

Now let's reformulate the given problem:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 <= 4

-x1 + 0x2 + x3 + x4 >= -1

2x1 + x2 + 0x3 + 0x4 <= 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4 >= 0

The reformulated linear programming problem in standard form is as follows:

Maximize (Z) = -2x1 + x2 - 4x3 + 3x4

Subject to:

x1 + x2 + x3 + 2x4 + s1 = 4

-x1 + x3 + x4 - s2 = -1

2x1 + x2 + s3 = 2

x1 + 2x2 + x3 + 2x4 = 2

x1, x2, x3, x4, s1, s2, s3 >= 0

Note: The reformulated problem includes slack variables s1, s2, and s3 to convert the inequalities into equations, and all variables are non-negative.

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The square and the its shaded are is \(= 5.14 cm^{2}\)

"Square" is slang for someone that is conventional and out-of-date, such as a Fuddy-duddy. Inside the 1940s, the American jazz community originally referred to people as "square" when they weren't into the latest musical fads.

In geometry, a square is a flat shape having four equal edges and four right angles (90°). A square is a special sort of parallelogram that is also an equilateral rectangle and an equiangular special kind of rectangle.

Let's focus on quadrant ABC,

thus radius = length of AB length of \(BC= 3 cm\)

where B is the centre of the quadrant

Area of \(1/2\) leaf = area of quadrant ABC - area of triangle ABC

\(= 1/4 * pi * r ^ 2 - 1/2 * (AB)(BC)\)

\(= 1/4 * (pi)(3 ^ 2) - 1/2 * (3)(3)\)

\(= 9/4pi - 9/2\)

\(= 9 pi -18 / 4 cm^{2}\)

Area of shaded area

=2(area of \(1/2\) leaf)

\(= 2 (\frac{9pi-18}{4} )\)

\(= 5.14 cm^{2}\)

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Answer:

The congruence is RHS since they are both right triangles

Step-by-step explanation:

True. The variables x, y, and z have each been assigned an integer value.

Here is a fragment of code that assigns the least of three integer variables to another variable named min:

min = x  # initialize min to the value of x

if y < min:  # check if y is less than min

   \(min = y\) # \(update min to the value of y if y is less than min\)

if z < min:  # check if z is less than min

   \(min = z\) # \(update min to the value of z if z is less than min\)

In this code, the variable 'min' is first initialized to the value of 'x'. Then, the code checks if 'y' is less than 'min', and if so, updates the value of 'min' to 'y'. Finally, the code checks if 'z' is less than 'min', and if so, updates the value of 'min' to 'z'. At the end of this code fragment, the variable 'min' will contain the least of the three variables 'x', 'y', and 'z'.

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Answer:

6700 is the answer

Step-by-step explanation:

13270

-6570

=6700

Answer:

6700

Step-by-step explanation:

subtract 13270 with 6570

13270

6570    -

6700   <— Answer

If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.

No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.

Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.

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The complete question is;

How do sociologists know if the sample they are using is representative?

a. If the people in the sample freely volunteered to serve as representatives

b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

c. If the sample has the same mix of people, in the same proportions, as the population being studied

d. If the participants have been interviewed to reveal possible bias.

Answer:

The answer is A

Step-by-step explanation:

A-P-E-X

Answer:

Pretty sure it's B.)

Step-by-step explanation:

I wrote 6 x 10^5 in standard form (6 x 100000 = 600000).

Divided the product by 15 (600000 divided by 15 = 40000).

The only choice that matches is /B/ (4 x 10^4   --->  4 x 10000 = 40000).

Answer:

a = 7

Step-by-step explanation:

3(1 - 2a) = -3a - 18

3 - 6a = - 3a - 18

Add 18 to each side:

3 + 18 - 6a = - 3a - 18 + 18

21 - 6a = - 3a

Add 6a to each side:

21 - 6a + 6a = - 3a + 6a

21 = 3a

3a = 21

Divide each side by 3:

3a ÷ 3 = 21 ÷ 3

a = 7

Answer:

x = 0 , x = 3

Step-by-step explanation:

Equate the 2 expressions and solve for x

3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )

3x² - 9x = 0 ← factor out 3x from each term

3x(x - 3) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 3 = 0 ⇒ x = 3

To find the best-fitted line for bivariate data using linear regression, we minimize the sum of the squared errors (ei²) rather than just minimizing the absolute errors (ei).

This is because minimizing the squared errors gives more weight to larger errors, resulting in a more robust and accurate estimation of the line's fit.

By minimizing the squared errors (ei²), the linear regression algorithm aims to find the line that minimizes the overall discrepancy between the predicted values and the actual data points. Squaring the errors ensures that positive and negative errors do not cancel each other out, providing a more comprehensive measure of the overall fit.

For linear regression to be valid and reliable, certain assumptions must be met. Firstly, the errors ε₁, …, εₙ should be random and independent. This means that the errors are not influenced by previous or future errors, and each error is unrelated to the others.

This assumption ensures that the model captures the true relationship between the variables accurately.

Secondly, the errors ε₁, …, εₙ should have a mean of zero. This assumption implies that, on average, the model is unbiased and correctly estimates the true values of the response variable.

Thirdly, the errors ε₁, …, εₙ should have the same variance (σ²). This assumption, known as homoscedasticity, ensures that the spread or dispersion of the errors is consistent across the range of the predictor variable. It guarantees that the model's predictions are equally reliable throughout the data.

These assumptions collectively ensure that linear regression provides accurate and reliable estimates of the relationship between variables and allows for valid statistical inferences to be made based on the model.

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1. y=2x+3

2. y=-3/5x-6

3. y=1/4x+8

4. y=-x-6

5. y=2x+1

6. y=-x+5

7. y=-5/6x+4

8. y=1/4x-1

i will figure out the rest!

Answer:

Step-by-step explanation:

The complete table for the function g(x) =  1/(x + 4) is

X       g(x)

-8     -1/4

-6     -1/2

-4     Not defined

-2     1/2

0      1/4

2      1/6

4      1/8

6     1/10

8      1/12

The table is completed by substituting each value of x to g(x) and solving for g(x)

X      g(x) = 1/(x + 4)

-8     1/(-8 + 4) = -1/4

-6     1/(-6 + 4) = -1/2

-4   Not defined (division by zero)

-2    1/(-2 + 4) = 1/2

0      1/(0 + 4) = 1/4

2       1/(2 + 4) = 1/6

4      1/(4 + 4) = 1/8

6      1/(6 + 4) = 1/10

8      1/(8 + 4) = 1/12

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Answer:

3769.91 cm³

Step-by-step explanation:

For Small Cylinder:

Volume = height × π × r²

Volume = 12 cm × π × 10² cm

Volume = 3769.91  cm³

For Large Cylinder:

Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.

Volume = (height × 2) × π × (r × 2)²

Volume = (12 × 2) × π × (10 × 2)²

Volume = 24 cm × π × 20²

Volume = 30159.29 cm³

Answer:

Below.

Step-by-step explanation:

The volume of the smallest cylinder

= πr^2h

= π*10^2*12

= 1200π cm*3.

Now as the radius and height of  the large cylinder are 2 times the radius and height of the small one

Volume of the large cylinder = 2^3  = 8 times the volume of the small one

= 8* 1200π

= 9600π cm^3.

The equation of an exponential function is y = a(b^x)

An exponential function is a mathematical function that has a constant base raised to a variable exponent.  Exponential functions are used to model processes that exhibit exponential growth or decay, such as population growth, radioactive decay, or the spread of infectious diseases.

The general form of an exponential function is:

f(x) = ab^x

where a is the initial value, b is the base, and x is the variable exponent. If the base is greater than 1, the function will exhibit exponential growth, while if the base is between 0 and 1, the function will exhibit exponential decay.

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2/5 by 31/10 is 4/31 and 4 1/3 by 4/7 is 91/12 and 3 1/6 by 9/10 is 95/27 and 5/8 by 2 7/12 is 15/62.

Answer:

m = 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m = slope

b = y-int

Answer: 2

Step-by-step explanation:

the y intersect (0,9)