need help on this as soon as you can please

Answer:

a:b:c

1a) 14:16:7

b) 2:1:5

c) 2:1:48

d) 15:24:32

2) 56:12:3

Step-by-step explanation:

Untuk membentuk nisbah tiga kuantiti, pertama-tama kita menukar masing-masing menjadi unit yang sama.

a) 2 minggu hingga 16 hari hingga 1 minggu

Menukar semuanya menjadi bilangan hari, kerana ia sangat setanding.

2 minggu = 14 hari

16 hari = 16 hari

1 minggu = 7 hari

2 minggu hingga 16 hari hingga 1 minggu = 14 hari hingga 16 hari hingga 7 hari

14: 16: 7

b) 0.1 kg hingga 50 g hingga 0.25 kg

Menukar semua menjadi gram

= 100 g hingga 50 g hingga 250 g

= 100: 50: 250

Bahagikan dengan 50

= 2 : 1 : 5

c) 4 minit hingga 120 saat hingga 1.6 jam

Menukar semua menjadi beberapa saat

= 240 saat hingga 120 saat hingga (1.6 × 60 × 60) saat

= 240 saat hingga 120 saat hingga 5,760 saat

= 2: 1: 48

d) 3 m hingga 480 cm hingga 6 400 mm

Menukar semua ini menjadi mm

= 3000 mm hingga 4800 mm hingga 6400 mm

Membahagi hingga 200 mm

= 15:24:32

2) RM5.60 hingga RM1.20 hingga 30 sen

Menukar semuanya kepada sen

= 560 sen hingga 120 sen hingga 30 sen

Membahagi hingga 10

= 56: 12: 3

Semoga ini Membantu !!!

English Translation

Solution

0.02 m: 3 cm: 4.6 cm = 2 cm: 3 cm: 4.6 cm = 2: 3: 4.6

20:30:46

10:15:23

Self Training 4.1a

1. Represent the relationship between the following three quantities in the form a: b: c.

(a) 2 weeks to 16 days to 1 week

(b) 0.1 kg to 50 g to 0.25 kg

(c) 4 minutes to 120 seconds to 1.6 hours

(d) 3 m to 480 cm to 6 400 mm

2. Tahir pays RM5.60 for a plate of beriani rice, RM1.20 for a glass of tea and 30 cents for a piece of cake.

Represent the price relationship for beriani rice, tea and cake in the form of a: b: c.

Solution

To form a ratio of three quantities, we first convert each of them to the same units.

a) 2 weeks to 16 days to 1 week

Converting all of it to number of days, as itnis very comparable.

2 weeks = 14 days

16 days = 16 days

1 week = 7 days

2 weeks to 16 days to 1 week

= 14 days to 16 days to 7 days

14 : 16 : 7

b) 0.1 kg to 50 g to 0.25 kg

Converting all into grams

= 100 g to 50 g to 250 g

= 100 : 50 : 250

Divide through by 50

= 2 : 1 : 5

(c) 4 minutes to 120 seconds to 1.6 hours

Converting all into seconds

= 240 seconds to 120 seconds to (1.6×60×60) seconds

= 240 seconds to 120 seconds to 5,760 seconds

= 2:1:48

(d) 3 m to 480 cm to 6 400 mm

Converting all of this to mm

= 3000 mm to 4800 mm to 6400 mm

Dividing through by 200 mm

= 15:24:32

2) RM5.60 to RM1.20 to 30 cents

Converting it all to cents

= 560 cents to 120 cents to 30 cents

Dividing through by 10

= 56:12:3

Hope this Helps!!!

Answer:

An increase of $0.94

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 7

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

\(\displaystyle \frac{d}{dx}[(4x + 1)^2] = 8(4x + 1)\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = (4x + 1)^2\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

91°

Step-by-step explanation:

We first add 75 and 14 which is equal to 89°. Now, we know that a full triangle angle is 180° . We then calculate 180°-89° which gives us the final answer 91°.

Ps: 91 rounded to the nearest tenth is equal to: 91.0

The numbers that correspond to the members who will raise and lower the flag are 97836, 74547, 79986, and 58820.

To select 4 members from a group of 25, we can use the random number table provided to assign numbers to each student and choose the corresponding numbers to identify the members who will raise and lower the flag. Let's go through the process step by step:

Step 1: Assign a two-digit number from 01 to 25 to each student.

We have 25 students, so we can assign each student a number from 01 to 25. Let's match the given numbers with the students:

97836 - Student 1

74547 - Student 2

79986 - Student 3

58820 - Student 4

36071 - Student 5

17996 - Student 6

59066 - Student 7

36220 - Student 8

46340 - Student 9

66069 - Student 10

51761 - Student 11

41740 - Student 12

39326 - Student 13

52760 - Student 14

Note: The remaining students from 15 to 25 are not provided in the given random number table, so we cannot assign numbers to them based on the given information.

Step 2: Choose the corresponding numbers to identify the members who will raise and lower the flag.

Since we need 4 members, we can select any four numbers from the given list that correspond to the assigned numbers of the students. Let's say we choose the first four numbers:

97836 - Student 1 (Will raise and lower the flag)

74547 - Student 2 (Will raise and lower the flag)

79986 - Student 3 (Will raise and lower the flag)

58820 - Student 4 (Will raise and lower the flag)

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Answer: These events are independent.

Step-by-step explanation:

Two events are considered independent if the outcome of one event does not affect the outcome of the other event. In this case, getting a 5 or 6 on a dice toss and getting at most 3 on a dice toss are independent events.

This is because the probability of getting a 5 or 6 is 2/6 or 1/3, which is completely unrelated to the probability of getting at most 3, which is 3/6 or 1/2. The outcome of getting a 5 or 6 does not affect the probability of getting at most 3, and vice versa. Therefore, these events are independent.

The remainder of the synthetic division is 0, hence x + 2  is a factor of the polynomial

For an expression to be a factor of a polynomial, hence the remainder of the polynomial must be zero

Given the polynomial function x^3-2x^2-5x+6 divided by x + 2 according to the synthetic division

             x^2 - 4x + 3

x + 2  |  x^3-2x^2-5x+6

            x^3 + 2x^2

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

                   -4x^2 - 5x      

                   -4x^2 - 8x

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

                               3x + 6
                               3x + 6

Since the remainder of the synthetic division is 0, hence x + 2  is a factor of the polynomial

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The solution of given system of equations is (1/5, 6).

What is system of equation?

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations because they graph as straight lines.

Given equations : 5x+y=7

                             20x+2=y

We can solve it by using substitution method:

Now, we have 5x+y=7

it can be written as,

         y = 7 - 5x .... equation 1

Similarly, we have 20x+2=y

can be written as,

           y = 20x+2 ..... equation 2

Subtracting equation 1 from equation 2

we get,  20x+2 - ( 7 - 5x ) = 0

             20x + 5x + 2 - 7 = 0

             25x = 5

               x = 1/5

Putting x=1/5 in equation 1,

we get, y = 20 × 1/5 + 2

               = 4 +2

               = 6

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Answer:

the answer is 320 and 8 time

Answer:

592 hours

Step-by-step explanation:

Given

\(Area = 11000m^2\)

\(Radius = 0.10m/h\)

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

\(Area = \pi r^2\)

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

\(11000 = \pi * (0.10t)^2\)

Substitute 3.14 for π

\(11000 = 3.14 * (0.10t)^2\)

Divide both sides by 3.14

\(\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}\)

\(\frac{11000}{3.14} =(0.10t)^2\)

\(3503.18471338 = (0.10t)^2\)

Take square root of both sides

\(\sqrt{3503.18471338} = \sqrt{(0.10t)^2}\)

\(\sqrt{3503.18471338} = 0.10t\)

\(59.1877074516 = 0.10t\)

Divide both sides by 0.10

\(\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}\)

\(\frac{59.1877074516}{0.10} = t\)

\(591.877074516 = t\)

\(t = 591.877074516\)

\(t = 592\ hours\) (Approximated)

Hence, it'll take approximately 592 hours to cover the given area

Answer: B

592 hours

Step-by-step explanation:

Answer:

-40+44i

Step-by-step explanation:

4(-10+11i) = -40+44i

hope its clear

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

The measure of angle E is 56°.

Answer:

thank for the free point

Answer:

Ok so i think you can just count it i dont know; edit : i counted, it turns out the answer is 15 :)

Answer:

$37

Step-by-step explanation:

12 * 6 -35 = $37

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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Answer:

3sqrt(5)

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal of the rectangular box.

The Pythagorean theorem states that for a right triangle with legs of length a and b and hypotenuse of length c, we have:

c^2 = a^2 + b^2

In this case, the legs of the right triangle are 3 inches and 6 inches, and the hypotenuse is the length of the straw. So we have:

straw length^2 = 3^2 + 6^2 straw length^2 = 9 + 36 straw length^2 = 45

Taking the square root of both sides, we get:

straw length = sqrt(45) = sqrt(9*5) = sqrt(9)*sqrt(5) = 3sqrt(5)

Therefore, the length of the straw is 3sqrt(5) inches.

Answer:

y^2 + 7y - 8

Step-by-step explanation:

(y + 8)(y - 1)

y^2 -1y + 8y - 8

y^2 +7y - 8

Answer:

y²+7y-8

Explanation:

y times y equals y²

y times -1 equals -1y

8 times y equals 8y

8 times -1 equals -8

-1y combines with 8y to make 7y

Put all values in decreasing order

Answer:

n + 45

Step-by-step explanation:

The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.

Hope this helps.

The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.

The base will be calculated as:-

tan(38.6) = P / B

tan(38.6) = 67.7 / B

B = 67.7 / tan(38.6)

B = 54.8 ft

The height will be calculated as:-

Cos(42.4) = B / H

H = 84.8 / Cos(42.4)

H = 114.83 ft

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Answer:

$44.80

Step-by-step explanation:

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

Answer:

44.81

Step-by-step explanation:

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

None of them really,

A perfect square is a number that can be expressed as the product of two equal integers...which is not seen here.

Th closest perfect square that could be possible would be 64, but thats not an option, so go with none.

The process of associating numbers with physical quantities and phenomena. Measurement is used in our day-to-day life

Nominal: A level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures.

Gender is an example.

Ordinal: A level of measurement describing a variable with attributes we can rank-order along some dimension.

An example is socioeconomic status as composed of the attributes high, medium, and low.

Interval: A level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature. An example will be the measuring temperature.

Ratio: A level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a true zero point. An example will be Number of children you have, makes sense to have a zero

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The amount of coverage that you will have on the contents of your home would be = $68,750

The total amount of money that was insured for the house = $125,000

The percentage of insurance that was left for the contents of the house = 55% of insurance.

That is;

= 55/100 × $125,000

= 6875000/100

= $68,750.

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Answer:

346.93

Step-by-step explanation:

The requried measure distance between points  (2, 7) and (11, 9) is given as D = 9.2

Distance is defined as the straight distance between two points or coordinates or locations.

The distance formula is given as,

D = √[[x₂ - x₁]² + [y₂ - y₁]²]

Substitute the given points in the above equation,
D = √[[11 - 2]² + [9 - 7]²]

D = √[81 + 4]
D = √85

D = 9.2

Thus, the requried measure distance between points  (2, 7) and (11, 9) is given as D = 9.2

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