Comparing Distance
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference?

A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units.

Which describes the relationship between the distance and the difference?
The distance is always the opposite of the difference.
The distance is exactly the difference.
The distance is the absolute value of the difference.
The distance is not related to difference.
NEED HELP FOR EDGUNITY

Answer:

y=113505(1+0.012)^(x)

y=120481. Answered by Gauthmath

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

Answer:

[tex]\angle CFD =105^o[/tex]

Step-by-step explanation:

Given

[tex]\angle D FE = \angle DE F = 75^o[/tex]

See attachment

Required

Determine the measure of [tex]\angle CFD[/tex]

[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.

So:

[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line

Substitute known values

[tex]\angle CFD + 75^o = 180^o[/tex]

Collect like terms

[tex]\angle CFD =- 75^o + 180^o[/tex]

[tex]\angle CFD =105^o[/tex]

Answer:

shift of 6 units left

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

f(x) = 3 | x + 6 | + 9

Represents a horizontal shift of the parent function 6 units left

Number of weeds is represented by the function,

[tex]W(d)=1500(0.75)^d[/tex]

[tex]W(d)=1500(1-0.25)^d[/tex] -------(1)

Here, [tex]d=[/tex] Number of days since application

Function representing the exponential decay is,

[tex]A(t)=A(1-r)^t[/tex] --------(2)

[tex]A=[/tex] Initial value

[tex]r=[/tex] Percentage decay

[tex]t=[/tex] duration

By comparing both the functions (1) and (2),

[tex]r=[/tex] 0.25 ≈ [tex]\frac{25}{100}[/tex]

Or [tex]r=[/tex] 25%

Therefore, population of weeds will decrease 25% each day.

Learn more about exponential decay,

https://brainly.com/question/14355665?referrer=searchResults

Answer:  (-1, -2)

===========================================================

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

Answer:

0.0347 = constant of proportionality

[tex]1 * e^{0.0347t} = 15000[/tex]

Step-by-step explanation:

Given

[tex]1*e^{0.0347t}[/tex]

Solving (a): what does 0.0347 represent?

An exponential model is represented as:

[tex]f(t) = a * e^{kt}[/tex]

Where:

[tex]k \to[/tex] constant of proportionality

So, by comparison:

[tex]k = 0.0347[/tex]

Hence:

[tex]0.0347 \to[/tex] constant of proportionality

Solving (b): Formula to calculate when balance equals 15000

To do this, we simply equate the formula to 15000.

So, we have:

[tex]1 * e^{0.0347t} = 15000[/tex]

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

70,000 multi purpose vehicles were sold in the year 2006

First we need to know the equivalent of 1 lakh.

1 lakh = 100,000

From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.

Converting 0.7lakh to thousands:

0.7lakh= 0.7 × 100,000

0.7lakh = 70,000

This shows that 70,000 multi purpose vehicles were sold in the year 2006

Learn more: https://brainly.in/question/2811622

Answer:

1/5

Step-by-step explanation:

(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5

oe which question are you figure it out

Answer:

A) 5

Step-by-step explanation:

51+48+15x+6=180

105+15x=180

15x=75

x=5

Answer:

These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly

Step-by-step explanation:

Step-by-step explanation:

3(6+b)+2b+1

18+3b+2b+1

5b+19

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

Answer:

218

Step-by-step explanation:  

ATQ,

22%of total books = 48

Let the total no. of books in library be x.

22/100x=48

x=4800/22

X=218(approximately)

Answer:

here's the answer to your question

Answer:

70.875 [tex]km^{2}[/tex]

Step-by-step explanation:

Using the equation of area of trapezium

[tex]\frac{1}{2} * (a+b)h[/tex]

Put the value into the equation

[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]

Simplify the equation and you will get:

[tex]2.4*13.5=70.875 km^{2}[/tex]

So, the answer is 70.875km^2

Answer:

24 units ²

Step-by-step explanation:

In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.

First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.

Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get

3.14 * 2 * r = 17.21

6.28 * r = 17.21

divide both sides by 6.28 to isolate r

r ≈ 2.74

Furthermore, to find the area from the radius, we can use

area = πr². Plugging 2.74 in for r, we get

2.74² * 3.14 = area

≈23.6, rounding up to 24 units ²

The circumference is equal to the perimeter of the triangle. Then the area of the circle is 23.58 or 24 square units. Option B is correct.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A triangle has sides that measure 4 units, 6 units, and 7.21 units.

Then the perimeter of the triangle will be

Perimeter = 6 + 4 + 7.21

Perimeter = 17.21

The circumference is equal to the perimeter of the triangle. Then the radius will be

[tex]2\pi r = 17.21\\\\r = 2.74[/tex]

Then the area of the circle will be given as

[tex]\rm Area = \pi r^2 \\\\Area = \pi \times 2.74^2 \\\\Area = 23.58[/tex]

Thus, the area of the circle is 23.58 square units.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

[tex] \frac{1}{9a { }^{2} } [/tex]

Step-by-step explanation:

I hope this help if it doesn't I'm sorry

Answer:

D. (1, 12)

Step-by-step explanation:

Plug the number into the equation and solve it from there

f(x)=3×4^1

f(x)=3×4

f(x)=12

Answer:

Hamid initially invested $1,125.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After 10 years, Hamid's account earned $900 in interest.

This means that [tex]t = 10, E = 900[/tex]

Interest rate of 0.08:

This means that [tex]I = 0.08[/tex]

How much did Hamid initially invest?

We have to find P. So

[tex]E = P*I*t[/tex]

[tex]900 = P*0.08*10[/tex]

[tex]P = \frac{900}{0.8}[/tex]

[tex]P = 1125[/tex]

Hamid initially invested $1,125.

To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.

Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.

Assume the shape of the black material is a rectangle.

The area will be calculated as:

[tex]Area = Length * Width[/tex]

Take for instance;

[tex]Length = 4yd;\ Width = 5yd[/tex]

[tex]Area = 4yd * 5yd[/tex]

[tex]Area = 20yd^2[/tex]

Assume the shape of the black material is a square.

The area will be calculated as:

[tex]Area =Length^2[/tex]

Take for instance;

[tex]Length = 4yd[/tex]

[tex]Area = (4yd)^2[/tex]

[tex]Area = 16yd^2[/tex]

Assume the shape of the black material is a triangle

The area will be calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

Take for instance;

[tex]Base = 4yd;\ Height = 5yd[/tex]

[tex]Area = 0.5 * 4yd * 5yd[/tex]

[tex]Area =10yd^2[/tex]

So, in general.

You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.

Read more about areas at:

https://brainly.com/question/24251781

= 57 yards.

Step-by-step explanation:

95 yards is the diagonal of the field

76 yards is the length

Find the width.

This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.

[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]

Answer:

Phương trình lượng giác cơ bản: lý thuyết, cách giải, bài tập

2. Phương trình cos x = cos α, cos x = a.

3. Phương trình tan x = tan α, tan x = a.

4. Phương trình cot x = cot α, cot x = a. ...

5. Phương trình bậc nhất đối với một hàm số lượng giác. ...

6. Một số điều cần chú ý:

Answer:

125

Step-by-step explanation:

360-70-60-65-40

= 125

Answered by GAUTHMATH

Answer:

y = 1/4 x +4

Step-by-step explanation:

y = -4x+9

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is -4

Lines that are perpendicular have slopes that are negative reciprocals

The slope of the perpendicular line is -1 /(-4)  = 1/4

The perpendicular line is

y = 1/4x+b

It goes through (4,5)

5 = 1/4(4) +b

5 = 1+b

b=4

y = 1/4 x +4