Determine whether each equation represents a
proportional relationship. If it does, identify the constant of proportionality.

Answer:

A: 4 to 7

Step-by-step explanation:

From the graph, you should be able to see that you can connect points (2, 3), (6, 9) and (8, 12) to form a straight line.  (4, 7) is the only point that does not lie on this straight line, therefore its ratio is not equivalent to the rest.

Also, reducing 8/12 = 4/6 = 2/3

and reducing 6/9 = 2/3

As 6/9 = 8/12 = 2/3 all these 3 points have equivalent ratios

The average rate of change of life expectancy between the ages of 50 and 60 is of -0.88, which means that the life expectancy decreases by 0.88 between the ages of 50 and 60.

The average rate of change of a function is given by the change in the output divided by the change in the input.

In this problem, we have that between the ages of 50 and 60, the input-output pairs are (50,32.8) and (60,24.0), hence:

[tex]r = \frac{24 - 32.8}{60 - 50} = -0.88[/tex]

Negative value of -0.88, which means that the life expectancy decreases by 0.88 between the ages of 50 and 60.

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The average rate of change of life expectancy between the ages of 50 and 60 decreases by 0.88 years

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Let E represent the remaining life expectancy for females with x years.

Using the range (50, 32.8) and (60, 24):

m = (24 - 32.8)/(60 - 50) = -0.88

The average rate of change of life expectancy between the ages of 50 and 60 decreases by 0.88 years

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Answer:

Tan=12/37

Step-by-step explanation:

Tan=opp/adj

Using the angle c, we can notice that the opposite side is 12 and its adj. is 37

Answer:

13= -13

14= 57

15= 216

Step-by-step explanation:

hoep this helps

Answer:

Step-by-step explanation:

Rules :

      [tex](-) \times (-) = +\\\\(+) \times (+) = +\\\\(-) \times (+) = -[/tex]

[tex]a) \ \ -4(-4+3)+2^2 = -4(-1)+4 = (-4 \times -1) + 4 = 4 + 4 = 8\\\\b) \ \ - 3 - 3 - 3 - (-3) = ( -3 - 3) -3 - (-3) = -6 -3 - (-3)\\ \ \ \ \ \ \ = -9 --3 =-9+3 = -6\\\\c) \ \ -17 + 2 (-2)(-2) = -17 + 2(-2 \times -2) = -17 + 2 ( 4) = -17 + 8 = -9\\\\d) \ \ (2 + (-3)(5))(3 + 2(-6)) = (2 + (-3 \times 5))(3 + (2 \times -6)) \\ = (2 + (-15))(3 + (-12)) = (2 -15)(3 -12)\\ = (-13)(-9) = (-13) \times (-9) \\= 13 \times 9 = 117[/tex]

Answer:

12/35 (This is already in simplest form when multiplied)

Step-by-step explanation:

To solve this problem, we need to first multiple the numerators

2x6=12 so that will be our numerator

5x7=35 so that will be our denominator

We put this together and we get 12/35

Since we can’t simplify this any further, this is our final answer!

I hope this helps!

There are 39 days between 26th February 2003 and 7th April 2003

Explanation :

There are 31 days in March and keep it in mind

There are 28 days in leap year so after 26th 2 days are left

Add them with 31 ( 31 + 2 = 33 )

Before 7th April there are 6 days left so add them with 33 days

( 33 + 6 = 39 days )

ANSWER = 39 days

Answer: pretty sure they’re all true

Step-by-step explanation:

1. Should be obvious once you realize that if they all are in the same plane, one of them is a linear combination of the other two (think about a mini R^2 situation on the plane)

2. If x,y,z are linearly independent, they all are in the same plane, so z can be written in terms of x and y. (Above reasoning again.)

3. Should be intuitively clear, but rigorously just do the contrapositive. If v1,v2 are linearly dependent, av1 + bv2 = 0 for some a,b, so you can do av1 + bv2 + 0v3 = 0 which means v1,v2,v3 are dependent as well.

4. Intuitively they all are in the same plane. But if you want to be rigorous, you can choose, for example, 5v1 + 0v2 + 0v3 = 0, so they are linearly dependent.

5. What this is really saying is there is no scalar k such that v1 = kv2. It should be clear they are independent, but again if you want to be rigorous, suppose (for contradiction) there are a,b such that av1 + bv2 = 0. Then v1 + (b/a)v2 = 0, so v1 = -(b/a)v2. But this violates the “k” thing we said before! Hence a contradiction, so such a combination is not possible and thus they are linearly independent.

Based on the information given the percent of the baskets that are not bananas is: 92.57%.

Using this formula

Percentage=(Number of baskets of fruit-Basket of bananas)/Number of baskets of fruit

Let plug in the formula

Percentage=(175-13)/175

Percentage=162/175×100

Percentage=92.57%

Inconclusion the percent of the baskets that are not bananas is: 92.57%.

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Answer:

$1,408.21.

Step-by-step explanation:

Since it is compounded annually we could use the formula

A=Pe^rt

We know that the initial amount she deposits is $1200, as stated by the problem. That is our P.

e is well, the e in your calculator which is approximately: 2.7182818284590452353602874713527

r is the rate which is 8%, although you must convert this into a decimal, which would be 0.08 as your r.

Lastly, t is the time, so in this case, 2 years.

And then plug in the values.

A=1200(e)^(0.08)(2)

A=1200(e)^(0.16)

A=1200(1.173510870991810235018611086892)

A=1,408.2130451901722820223333042704

Now since it is a money problem we must put it in the correct format.

A=$1,408.21

Answer: A=992 P=100/124=800

Step-by-step explanation: Let the sum be 100

Interest =P*R*T/100 = * 4*6/100=24

amount =P+I

100+24

when A =124 P=100

When A=992 P=100/124=800

Answer:

Step-by-step explanation:

[tex]Solution,\\Amount(A)=992\\Time(T)=4 years\\Rate(R)=1percent\\As,\\\\A=P+I\\\\992=P+\frac{PTR}{100} \\\\992=P+\frac{P*4*1}{100} \\\\992=\frac{100P+4P}{100} \\\\99200=104P\\\\P=\frac{99200}{104} \\\\P=953.84[/tex]

The area to the nearest square foot of the shaded region is; 22 sq. ft

From the image attached, we can tell that the Area of the shaded region is expressed as;

Area of shaded region = Area of square - Area of circle.

The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Thus;

Area of circle = 3.14 × r × r

Since diameter is 10, then;

Radius; r = 10 ÷ 2 = 5

Area of circle = 3.14 × 5 × 5

Area of circle = 78.5 square feet

Area of square = length × length

Area of square = 10 × 10 = 100 square feet

Area of shaded region = 100 - 78.5

= 21.5 square feet

= 22 square feet(to the nearest square foot)

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Answer:

I need how much is it per one mile or how much does is cost every 5 mins at least

Answer: 6.48

Step-by-step explanation: hope it helps

In right angle ΔDEF, Value of d = 6.48 .

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec, and cot in short.

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

Given, In figure

ΔDEF is right angle triangle

DE = 7.2

∠D = 42°

∠E = 90°

EF = d =?

tan D = EF/DE

tan 42° = d/7.2

0.900 = d/ 7.2

d = 6.48

Hence, 6.48 is the value of d in right angle ΔDEF.

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Answer:

  x ≈ 19.3

Step-by-step explanation:

The marked sides are adjacent to, and opposite of the given angle. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(65°) = x/9

  x = 9·tan(65°)

  x ≈ 19.3

Answer:

0.44 kilograms

Step-by-step explanation:

you subtract the weight of the pitcher when filled with lemonade by the weight without. this will give you an answer of 0.44 kilograms.

Step-by-step explanation:

between -1 and +1 it is constant, a flat, horizontal line at y = 4.

and that is already the function definition for that part.

y = f(x) = 4

so you simply put 4 into the first answer box.

between +3 and +5 it is a nice, constant line that increases f(x) with increasing x.

for the slope we see that the line is a perfect square diagonal, y increases by 1 with every x increase by 1.

so, the slope is 1/1 = 1

but extended the line would not go through the origin (0, 0). so, we need to give a little correction.

we see when x = 3, y = 2, and for x = 5, y = 4. y is always one unit smaller than x. or y = x - 1

and that is already our functional definition

y = f(x) = x - 1

so, you put x - 1 into the second answer box.

The solution is,

f(x) = 4

f(x) = x - 1

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

from the given graph, we get,

between -1 and +1 it is constant, a flat, horizontal line at y = 4.

and that is already the function definition for that part.

y = f(x) = 4

so you simply put 4 into the first answer box.

between +3 and +5 it is a nice, constant line that increases f(x) with increasing x.

for the slope we see that the line is a perfect square diagonal, y increases by 1 with every x increase by 1.

so, the slope is 1/1 = 1

but extended the line would not go through the origin (0, 0). so, we need to give a little correction.

we see when x = 3, y = 2, and for x = 5, y = 4. y is always one unit smaller than x. or y = x - 1

and that is already our functional definition

y = f(x) = x - 1

so, we put x - 1 into the second answer box.

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Answer:

Solve four sixths plus one third

The answer is 1

Answer:

3+5^2 = 28

Step-by-step explanation:

The answer to the expansion of the expression, 3+5^2 is 28

An expansion of an expression is the evaluation of the expression to its simplest form

Given:

3+5^2

= 3 + 5²

= 3 + (5 × 5)

= 3 + 25

= 28

Therefore, answer to the expansion of the expression, 3+5^2 is 28

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Answer:

The number is 7

Step-by-step explanation:

let number be x

12x+6=6x15

12x+6=90

12x=90-6

12x=84

x=7

Hope this was helpful

Answer:

First box is 8, second box is 224.

Step-by-step explanation: I took the quiz.

Answer:

Give the other person branliest they are right

Step-by-step explanation:

Answer:

D) Do all of the above.

Step-by-step explanation:

Answer:

D all of the Above

Step-by-step explanation:

just did test on 3dg3

Answer:

Step-by-step explanation:    NS

Answer:

x= 1/2

Step by Step explanation:

1- Substitute f (x) = 0

2- Determine the defined range

3- Swap the sides

4- Use the inverse trigonometric function

5- Evaluate the expression

6- Move the constant to the right

7- Divide both sides

8- Check the solution  

Answer:

p = -2

Step-by-step explanation:

divide -5p by -5 to get the p on it's own. do the same to the other side, 10/-5 is -2, since -2 × -5 = 10.

Answer:

p= - 2

Step-by-step explanation:

cancel the terms that are both in the numerater and denominator

divide the numbers

p=-2

Answer:

6x = 48

i hope this . 6 cards each and a total of $48. dvide each side by 6 and you will have your answer.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

Answer:

The answer is : 461 ft./min

Step-by-step explanation:

We can imagine the speed of the river (due south) and the speed of the boat(due east) as two vectors working at a single point with an angle of 90 degree . This allows us to use the parallelogram law to determine the resultant speed Of the boat.

Answer:

D. X = 20

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