A rectangular field is 16m broad and the ratio of the length and breadth is 3:2.
1.find the length of the field
2.find the perimeter of the field
3.find the area of the field.

Answer:

#1: (D) all real numbers greater than or equal to -3

#2: (D) It is not a function because there are two different y-values for a single x-value

#3: (A) all real numbers

#4: (B, C)

#5: (B) {y | y = -9, -3, 0, 5, 7}

Step-by-step explanation:

Question 1:

The domain of the function is all the input values, or the x values. The graph extends all the way to right infinitely. However, to the left, it ends at -3. Because the dot is filled, that means the domain INCLUDES -3. So it's (D).

Question 2:

By definiton, a function is a relation between a set of inputs and a set of outputs. However, each input only has ONE output.

If you noticed, there are two points: (4, 4) & (4, -2)

There are two different y-values, 4 & -2, for one x-value, 4.

Question 3:

The graph extends infinitely both directions, so it's all real numbers.

Question 4:

The amount of water DEPENDS on the amount of rice you put in, so the amount of water is the dependent variable. The rice doesn't depend on the amount of water, so it's the independent variable. (By the way, it's not the last option because you need two options)

Question 5:

The range of the function is the y values. So you are only going to put the y values from the coordinate points in the range. Thus, (B) is the answer.

Hope it helps (●'◡'●)

Answer:

Yes every integer has a successor and a predecessor

Step-by-step explanation:

Answer:

You would pour 50.3 in^3 of juice

Step-by-step explanation:

The term ‘cubic’ indicates volume

so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2

Mathematically, we have the volume of the cylinder as;

V = pi * r^2 * h

r = 2 inch

h = 8 inch

Since we are dividing the volume by 2 (exactly half full)

V = 1/2 * pi * 2^2 * 8

V = 50.3 in^3

Answer:

13

Step-by-step explanation:

Median of a trapezoid = sum of 2 bases divided by 2

Bases = 10 and 16

Median = (10 + 16)/2

10 + 16 = 26

26/2 = 13

Median = 13

Answer:

Daylily: $9

Geranium: $2

Step-by-step explanation:

1 daylily costs x.

1 geranium costs y.

11x + 4y = 107

4x + 12y = 60

Multiply the first equation by 3 and subtract the second equation from it.

29x = 261

x = 9

4x + 12y = 60

4(9) + 12y = 60

12y = 24

y = 2

Answer:

Daylily: $9

Geranium: $2

Answer:

1) Set up a system of equations. Assign each plant a variable. I used X for Daylillies and Y for Geraniums. In this case:

11x + 4y = 107

4x + 12y = 60

2) Get one variable by itsef. You can choose to either get the X or the Y by itself. For the sake of ease, I'll go with achieving X.

3) Using the equation 4x + 12y = 60, isolate the 4x.

4x = -12y + 60

4) Divide both sides by 4.

x = -3y + 15

5) X is isolated. Now plug in that isolated X into another remaining equation in order to isolate Y. Don't forget to combine like terms.

11(-3y + 15) + 4y = 107

-33y + 165 + 4y = 107

-29y + 165 = 107

-29y = -58

y = 2

6) You have your Y, which means that each Geranium costs $2 each. Now, you need to find X. Plug in Y into any of the first two equations that we started with.

4x + 12(2) = 60

4x + 24 = 60

4x = 36

x = 9

7) You now have both X and Y. Daylillies cost $9 each, and Geraniums cost $2 each.

8) You can double-check your answers by plugging in your final X and Y values into any of the first equations you wrote. If it comes out equal, it works.

Answer:

a=3

b=1

Step-by-step explanation:

3=2a-3 => a=3

b=2*2-3 = 1

Answer:

place it 2 3 4 5 6 7 8 9 10 1 then is come 18

Answer:

2 3 4 5 6 7 8 9 10 1 then come 18

Answer:

3/2, 6/4, 9/6, 12/8, 15/10, 18/12, 21/14, 24/16, 27/18, 30/20, 33/22, 36/24, 39/26, 42/28, 45/30, 48/32, 51/34, 54/36, 57/38, 60/40

Step-by-step explanation:

Answer:

20 : 30

Step-by-step explanation:

Given Ratio :-

Equivalent Ratio :-

Answer:

Okay

Step-by-step explanation:

To find a probability you take the specific parameters divided by the entire set of possibilities.

For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.

And we know that the total number of orders is 100.

So, we should divide 60 by 100, and we get 60%.

Step-by-step explanation:

The Answer is (x-9) (x-3) Factor 12 and 27 out.

Answer:

[tex]x^{2} -12x+27=[/tex]

[tex](x-3)and\:(x-9)[/tex]

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hope it helps...

have a great day!!

Answer:

-60x

Step-by-step explanation:

Answer:

p = 2 and q = 2

Step-by-step explanation:

hope this helps please like and mark as brainliest

Answer:

1

Step-by-step explanation:

the line passes point (-3,0) abd (0, 3)

so, the gradient = (3-0)/(0+3) = 3/3 = 1

Answer: 60%

1000÷2=500

Clive: 500-100= 400

Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)

[tex] \frac{600}{1000} \times 100\% = 60\%[/tex]

If Gillian received 100 more votes than Clive, Gillian received 55% of the 1,000 votes.

To determine the percentage of votes for Gillian out of the total 1,000 votes, we need to calculate the proportion of votes that Gillian received.

Given that Gillian received 100 more votes than Clive, we can set up the equation:

Votes for Gillian = Votes for Clive + 100

Let's denote the number of votes for Clive as C. Therefore, the number of votes for Gillian is C + 100.

The total number of votes is 1,000, so we have the equation:

C + (C + 100) = 1,000

Simplifying, we find:

2C + 100 = 1,000

2C = 900

C = 450

Therefore, Clive received 450 votes and Gillian received 450 + 100 = 550 votes.

To calculate the percentage of votes for Gillian, we divide her votes by the total votes and multiply by 100:

(550 / 1,000) * 100 = 55%

To learn more about percentage click on,

https://brainly.com/question/13228217

#SPJ2

Answer:

x=60

Step-by-step explanation:

First, you subtract 10 from both sides. Your final answer is 60.

Answer:

a

Step-by-step explanation:

in integer there will negative ,positive or rational number

Answer:

She has 9 choices for each different cheese.

For each of these cheeses there are 9 different wines,

So 9 * 9 = 81 and there are

81 possible different choices

Answer:

$0.72 per pound

Step-by-step explanation:

1 ton = 2000

5 tons = 10000

10000 lb = $7200

7200/10000 = 0.72

0.72 dollars a pound

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: y = 2x + 20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Step-by-step explanation:

Answer:

The second one is the answer.

Step-by-step explanation:

Objective: Linear Equation Problems.

Let model the equation given to us.

Vlad spent 20 minutes on his homework already and he complete x math problems every 2 minutes so we represent this as

[tex]y = 2x + 20[/tex]

X can be any real number greater than or equal zero because time isnt negative so anything below zero is wrong.

Y can be any real number but however since Vlad spent 20 mins on his homework already, he must spend over or equal to 20 minutes completing the total homework.

The second one is the answer

Answer:

The vertex is at (1, -108).

Step-by-step explanation:

We have the function:

[tex]f(x)=3(x-7)(x+5)[/tex]

And we want to find its vertex point.

Note that this is in factored form. Hence, our roots/zeros are x = 7 and x = -5.

Since a parabola is symmetric along its vertex, the x-coordinate of the vertex is halfway between the two zeros. Hence:

[tex]\displaystyle x=\frac{7+(-5)}{2}=\frac{2}{2}=1[/tex]

To find the y-coordinate, substitute this back into the function. Hence:

[tex]f(1)=3((1)-7)((1)+5)=3(-6)(6)=-108[/tex]

Therefore, our vertex is at (1, -108).

Answer:

vertex (1, -108)

Step-by-step explanation:

First find the zeros

f(x) = 3(x-7)(x+5)

0 =  3(x-7)(x+5)

Using the zero product property

x-7 = 0   x+5 = 0

x = 7  x = -5

The x coordinate of the vertex is the average of the zeros

(7+-5)/2 = 2/2 =1

To find the y coordinate, substitute the x coordinate into the equation

y = 3(1-7)(1+5) = 3(-6)(6) = -108

Answer:

90 percent

Step-by-step explanation:

the fraction is 90/100 so the percentage is 90%

Answer:

12 fives

Step-by-step explanation:

6 tens is 60, so 60÷5 is 12

Answer:

12

Step-by-step explanation: 60 divided by 12 is 5 and 12 times 5 is 60 so there you go.

Answer:

hundredth

Step-by-step explanation:

numbers after the decimal point start counting from

tenth

hundredth

Answer:

0.07 or 7 hundredths

Step-by-step explanation:

(12.3456)- I'll use this as my example

1-tens place

2-ones place

3- tenths place

4= hundredths place

5-thousandths place

6- im pretty sure its the 10 thousandths place

Answer:

B

Step-by-step explanation:

Two negatives is a positive, and you want your outcome to be a positive x, therefore b is the correct answer.

Answer:

second one

A negative multiplied by a negative is a positive.

- (-x) is multiplication.

heyy im not sure if you meant origin instead of original but the origin would be (0,0)

Answer:

2/3

Step-by-step explanation:

the slope form equation is :  y2 - y1/ x2-x1 (aka change in y divided by change in x)

so it would be  2-0/ 3-0 = 2/3

the slope is 2/3

Answer:

B. 23

Step-by-step explanation:

16, 19, 19, 22, 24, 33, 37, 46

Median = n/2

= 8/2

= 4//

(22 + 24)÷2 = 46 ÷ 2

= 23

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

[tex]tan(\theta) = \frac{CO}{CA}[/tex]

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]

Ahora, el ancho del río es:

[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

Answer:

Step-by-step explanation:

Six liters of paint will cover 50 square meters.

  6L ⇒ 50m²

then,

  1L ⇒ 50/6 m²

  9L ⇒ 50 × [tex]\frac{9}{6}[/tex] m²

       ⇒ 75 m²

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin\theta\sec\theta+\cos\theta\csc\theta = 2\csc2\theta[/tex]

Let secθ = 1 / cosθ and cscθ = 1 / sinθ:

[tex]\displaystyle \frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}=2\csc2\theta[/tex]

Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:

[tex]\displaystyle \frac{\sin^2\theta}{\sin\theta\cos\theta}+\frac{\cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Combine fractions:

[tex]\displaystyle \frac{\sin^2\theta + \cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Simplify. Recall that sin²θ + cos²θ = 1:

[tex]\displaystyle \frac{1}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Multiply the fraction by two:

[tex]\displaystyle \frac{2}{2\sin\theta\cos\theta}=2\csc2\theta[/tex]

Recall that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{2}{\sin2\theta}=2\csc2\theta[/tex]

By definition:

[tex]\displaystyle 2\csc2\theta = 2\csc2\theta[/tex]

Hence proven.