Which number is a factor of 24 but not a multiple of 12

In  linear equation, 60m  is the height of flagpole c .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Height/ Shadow

Shadow of the pole = 12 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

12 m - 10 m =  2 m

Tim's height = 2 m

Hence:

x/12 = 2/10

Cross Multiply

2x = 12 × 10

x = 120/2

x = 60 m

Approximately = 60m

Hence, the height of the flagpole = 60m

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The domain of the relation include the following: A. {1, 2, 3, 6}.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are always read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain:

Domain = {1, 2, 3, 6}.

In conclusion, the domain of this relation are all the x-values (independent value) that are located on the x-axis of the graph, which include {1, 2, 3, 6}.

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Answer: corn 806,736

Step-by-step explanation:

Answer:

35 :)

Step-by-step explanation:

Answer:

35

7x5=35

You need to know your multiples.

7, 14, 21, 28, 35, 42, 49, 56, and so on.......

Answer:

(4) on a graph, the solution of a system of equations is the point where the lines intersect.

(5) a system of linear equations includes at least two linear equations.

(6) the solution of a system of linear equations is any values of the variables that satisfy both equations at the same time.

The correct option is C. The IQR is the best measure of variability, and it equals 4.

The IQR (interquartile range), a measure of variability that depicts the range of the middle 50% of the data, is used in box plots. It is determined as the gap between the first and third quartiles (Q1 and Q3) (Q1). Since the box in this instance spans the numbers 17 to 21 on the number line, Q1 equals 17 and Q3 equals 21. IQR = Q3 - Q1 = 21 - 17 = 4 as a result.

The difference between the dataset's maximum and minimum values is represented by the range, another measure of variability. As a result of its sensitivity to extreme values, it is less reliable than the IQR. Although the range in this instance is equal to 27 - 10 = 17, it could not correctly reflect the variety of the data.

Therefore, the IQR is the most appropriate measure of variability for this data, and its value is 4.

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Answer:

3 min 20 seconds

Step-by-step explanation:

30÷0.15= 200 seconds

= 3 min 20 seconds

The given sample space could represent a win and loss game by flipping a coin twice, where win represent the outcome head and loss represent the outcome tail.

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

Given sample space is S = {WW, WL, LW, LL}

This can be interpreted as the outcomes in a random experiment, which has only two possibilities, either win or loss.

Suppose that we flip a coin two times.

Possible outcomes are,

HH : head appears twice

HT : head appears at first and tail appears second

TH : tail appears first and then head appears

TT : tail appears twice

Let the outcome head represent the win and tail represent the loss.

Possible outcomes are then WW, WL, LW, LL.

Hence the given sample space can be a possible outcomes of flipping a coin twice.

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Answer:

I cannot give you the answer because I need the table with the records.

Step-by-step explanation:

The equation we need to use to find the number of bills in Guy Granger's stack is 5b = 4, where b is the number of bills.

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

This equation represents the fact that each of the 5 contestants received 4 one hundred-dollar bills, so the total number of bills is

= 4 x 5

= 20

To solve for b, we need to divide both sides of the equation by 5:

5b / 5 = 4 / 5

b = 4 / 5

So, the number of bills in Guy Granger's stack is 4 / 5 * 100 = 80.

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Answer:

lower right option

Step-by-step explanation:

using the properties of logarithms

• loga + logb ⇔ log(ab)

• loga - logb ⇔ log ([tex]\frac{a}{b}[/tex] )

• log[tex]x^{n}[/tex] = nlogx

• lne = 1

given

a[tex]e^{bt}[/tex] = c ( take ln of both sides )

ln a[tex]e^{bt}[/tex] = lnc

lna + ln[tex]e^{bt}[/tex] = lnc

lna + bt lne = lnc ( subtract lna from both sides )

bt = lnc - lna

bt = ln ([tex]\frac{c}{a}[/tex] ) ← divide both sides by b

t = [tex]\frac{ln(\frac{c}{a}) }{b}[/tex]

For the polygon the individual value of the interior angles.

a) 15 sides is 145°

b) 20 sides is 108°

c) 3 sides is 60°

d) 4 sides is 90°

e) 100 sides is 18°

A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.

a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2180 / 15 = 145 degrees per angle.

b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2160 / 20 = 108 degrees per angle.

c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 180 / 3 = 60 degrees per angle.

d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 360 / 4 = 90 degrees per angle.

e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 1800 / 100 = 18 degrees per angle.

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The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

An equation contains one or more terms with variables connected by an equal sign.

We can use substitution or elimination method to solve when there are more than one equation.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's denote,

The amount invested in the 13% fund =  x

The amount invested in the 15% fund = y.

Now,

The total amount invested = $30,000,

i.e

x + y = 30000 _____(1)

The total return after one year = $4,350.

Which can be expressed as,

0.13x + 0.15y = 4350 _____(2)

Use the substitution method.

From (1),

x + y = 30000

y = 30000 - x _____(3)

Substituting y in (2)

0.13x + 0.15(30000 - x) = 4350

Solving for x.

0.13x + 4500 - 0.15x = 4350

-0.02x = -150

x = 7500

And,

y = 30000 - x

y = 30000 - 7500

y = 22500

Thus,

The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.

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The complete question.

A businesswoman wants to invest $30,000 in different funds that produce annual returns of 13% and 15% respectively. How much must she invest in each fund to earn a return of $4,350 after one year?

Answer:

$3692

Step-by-step explanation:

100-21=79

=> 0.79

12000 × 0.79^5 = $3692

Answer:

£ 185

Step-by-step explanation:

Tama po yan promise

The solution to the inequality is a coordinate of (-1.8, 0.6)

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

y> -2x - 3

Y <4/3x +3

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, the shaded area has a coordinate of (-1.8, 0.6)

Hence, the solution is (-1.8, 0.6)

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Answer:

True

Step-by-step explanation:

A union is the graph of a compound inequality that contains "or," meaning the solution is a solution of either inequality, but not necessarily both. The union represents all values that satisfy at least one of the inequalities in the compound inequality. The solution is shown as the shaded region on the graph that represents the union of the solutions of the individual inequalities.

In the Metric System , each millimeter increment is equal to the 1/10 or 0.1 of a centimeter .

The Metric System is defined as a standardized system of measurements which is used in many countries around the world.

In the Metric System, there are different units of length, which include  millimeters (mm) and centimeters (cm).

we know that , 1 centimeter is equivalent to 10 millimeters. This means that each millimeter increment is equal to 0.1 of a centimeter.

For Example, if we measure a length of 50 millimeters, we can convert it to centimeters by dividing 50 by 10, which gives you a length of 5 centimeters.

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The given question is incomplete , the complete question is

In the metric system each millimeter increment is equal to ____ of a centimeter .

Answer: 1 liters = 1000 cm^36 liters = 6000 cm^3Height

Step-by-step explanation:

1 liters = 1000 cm^36 liters = 6000 cm^3Height

Answer:

-1280

Step-by-step explanation:

10×(-2)= -20

-20×(-2)= 40

4th term: 40×(-2)= -80

5th term: -80×(-2)= 160

6th term: 160×(-2)= -320

7th term: -320×(-2)= 640

8th term: 640×(-2)= -1280

The acceleration of the car is not constant but is increasing steadily, starting at 10 km/h, decreasing to 5 km/h, and then remaining constant at 5 km/h.

To find the acceleration of the car, we need to use the formula:

acceleration = (final velocity - initial velocity) / time

Let's calculate the acceleration for each interval of time:

For the first interval, the initial velocity is 35 km/h and the final velocity is 45 km/h. The question says the speed increases each second.

Therefore, the acceleration is:

acceleration = (45 - 35) / 1 = 10 km/h

For the second interval, the initial velocity is 40 km/h and the final velocity is 45 km/h. Again, the acceleration is:

acceleration = (45 - 40) / 1 = 5 km/h

For the third interval, the initial velocity is 45 km/h and the final velocity is 50 km/h. The acceleration is:

acceleration = (50 - 45) / 1 = 5 km/h

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Answer:

81

Step-by-step explanation:

Answer:

Yes it is a right triangle

Step-by-step explanation:

These side lengths correspond to a Pythagorean triple, specifically 8-15-17, which is a set of three positive integers that satisfies the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side, also known as the hypotenuse.

In this triangle, 32^2 + 60^2 = 8^2 + 15^2 = 17^2, which confirms that it is indeed a right triangle.

Answer:

x = 60 degrees (if x < 90 degrees).

Step-by-step explanation:

secx - 2 = 0

secx = 2

Now sec x = 1/cos x

So,

1/cosx = 2

cos x = 1/2

x = 60 degrees.

The total number of 2 pointers was 4.

The total number of 3 pointers was 11

Let the number of 2 pointers be x

Let the number of 3 pointers be y

Since the total points was 41, then we have;

2x + 3y = 41    -------(1)

Total basket was 15. Thus;

x + y = 15     --------(2)

Multiply eq 2 by 2 and eq 1 by 1 to get;

2x + 3y = 41    -------(3)

2x + 2y = 30     --------(4)

Subtract eq 4 from eq 3 to get;

y = 11

Thus;

x = 15 - 11

x = 4

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Answer:

Answer: 67

18+5x2^3-7+16

18+5x8-7+16

18+40-7+16

67

1429 cubic centimeters is the  volume of contents the chef will be able to fill the bowl.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Chef uses a bowl shape which has radius of 8cm to prepare her avocado lime sauce.

We have to find the volume of contents the chef will be able to fill the bowl with using her estimation upto 2/3.

Firstly let us find volume of bowl.

Volume=4/3πr³

=4/3×3.14×(8)³

=2143.5

To find the amount of contents the chef can fill the bowl with, we need to multiply this volume by 2/3,

So 2143.5×2/3

1429.04 cubic centimeters.

Hence,  the chef will be able to fill the bowl with about 1429 cubic centimeters of avocado lime sauce.

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