An equation that models the decline in the number of US farms is y=3,962,000e−0.02t where t is the number of years since 1960 and y is the number of farms.

Step-by-step explanation:

The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.

This means the central angle of this sector KNJ is 360-48=312.

Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.

Step-by-step explanation:

The volume of a cylinder is given by the formula

pi×h×r^2

IF R IS 8

Volume = 3015.93

IF R IS 15

Volume = 5654.87

Answer:

The converse is:

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value is:

True

Step-by-step explanation:

The statement can be split into:

p -> If a class has 3 left-handed people and 24 right-handed people,

q -> the ratio of lefties to righties is 1:8

The converse of a conditional statement is:

if q then p

So, we have the converse to be;

if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.

The truth value.

For p, we have.

Ratio = 3 : 24

This can be simplified to.

Ratio = 1 : 8

For q, we have:

Ratio = 1 : 8

Since both are true, then the truth value is true

As it emerges from the cross multiplication performed, the statement is correct.

Since it is stated that "If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1: 8", to determine if this statement is correct the following calculation must be performed:

Therefore, as it emerges from the cross multiplication performed, the statement is correct.

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Answer:

if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Step-by-step explanation:

The value of variable x is,

⇒ x = - 3/2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Two functions are;

⇒ f(x) = (2x+5)/8 and g(x) = 3x - 4.

Here, The inverse of (fog)(x) is an identity function,

Hence, We get;

⇒ (f o g) (x) = f (g (x))

                 = f (3x- 4)

                 = [ 2 (3x - 4) + 5 ] / 8

                 = (6x - 8 + 5) / 8

                 = (6x - 3) / 8

Thus, The inverse of (fog)(x) is,

⇒ (f o g) (x) = (6x - 3) / 8

⇒ y = (6x - 3) / 8

Solve for x;

⇒ 8y = 6x - 3

⇒ 8y + 3 = 6x

⇒ x = (8y + 3) / 6

⇒ (f o g)⁻¹ (x) = (8x + 3) / 6

Here, The inverse of (fog)(x) is an identity function, \

Hence, We get;

⇒ (f o g)⁻¹ (x) = x

⇒ (8x + 3) / 6 = x

⇒ 8x + 3 = 6x

⇒ 8x - 6x = - 3

⇒ 2x = -3

⇒ x = - 3/2

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Answer:

2 cups of popcorn and 1/2 cups of cereal per cup

Step-by-step explanation:

khan told me

Answer:

1 ounce of toppings

Step-by-step explanation:

Belize is more expensive than Brazil. The book costs $6.17 more in Belize. Then the correct option is A.

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

A certain book is for sale in both Belize and Brazil.

In Belize, it sells for 80.39 Belize dollars.

The exchange rate of us dollars to Belize dollars is 1:1.9246

The cost of a book in dollars will be

[tex]\rm \dfrac{C_{belize }}{80.39} = \dfrac{1}{1.9246}\\\\C _{belize } \ = 41.7697[/tex]

In Brazil, it sells for 63.65 Brazilian reals.

The exchange rate of us dollars to Brazilian reals is 1:1.7880.

The cost of a book in dollars will be

[tex]\rm \dfrac{C_{brazil}}{63.65} = \dfrac{1}{1.778}\\\\C _{brazil} \ = 35.5984[/tex]

The difference in the cost will be

[tex]\rm C _{belize} -C _{brazil} = 41.7697 - 35.5984 = 6.1713 \approx 6.17[/tex]

Belize is more expensive than Brazil. The book costs $6.17 more in Belize. Then the correct option is A.

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Answer:

[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]

Step-by-step explanation:

[tex]x - 19y = 4[/tex]

Slope intercept form :

y= mx+b

Where ;

m = slope

b = intercept

[tex] - 19y = - x + 4[/tex]

Divide through by -19

[tex] \frac{ - 19y}{ - 19} = - \frac{x}{ - 19} + \frac{4}{ - 19} [/tex]

Simplify

[tex]y = \frac{1}{19} x - \frac{4}{19} [/tex]

Answer:

y = (1/19)x - (4/19)

Step-by-step explanation:

x-19y=4

19=m(slope) write it as 1/19

write 4 as 4/19(represents b or y-intercept)

y=mx+b

m=(1/19)

b=(4/19)

Plug in those numbers into the equation to get: y = (1/19)x - (4/19)

I hope that wasn't too confusing. LOL

Hope this helps!

Answer:

b

Step-by-step explanation:

given 2 chords intersecting , then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

PZ × WP = XP × PY ( substitute values )

14 PZ = 7 × 12

14 PZ = 84 ( divide both sides by 14 )

PZ = 6

Answer:

so...

1.    3(x+6) = 24

2.   6(x+3) = 24

a)        3(x+6) = 24 is diego juice question

   6(x+3) = 24 is show question

b)     x in equation 1 is 2 because you work the equation backwards and the opposite way,  24/3 then - 6

x in equation 2 is 1 because you work the equation backwards and the opposite way,  24/6 then - 3

sorry but i do not understand question b and c, hope this helps though

Answer:

See attached

Step-by-step explanation:

Refer to attachment

One relation is a linear function

Second one is a graph of non-functional relation

Answer:

below

Step-by-step explanation:

For the first graph, we can use a linear function as it means "straight" lines so when we use the vertical lines test, it passes it (shown below).

We can use a U shaped line so it when we use the vertical line test, it passes through two points to resemble its not a function (shown below).

Best of Luck!

B.

Step-by-step explanation:

to find the midpoint the formula is

[tex]( \frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]

so use the points provided and substitute them in to the formula!!

so now it would look like this inside the formula

and then you'll just solve that !!

[tex]\frac{5 + ( - 4)}{2} = \frac{1}{2} = 0.5[/tex]

so we know x = 0.5 now, solve for y

[tex]\frac{6 + ( - 7)}{2} = \frac{ - 1}{2} = - 0.5[/tex]

and we now know y = -0.5

point form (x,y) and you're all done !!

and this is why the answer is B. (0.5, -0.5)

Answer: 3, 4, 5

Step-by-step explanation:

(1) False, those two angles added together would be equal to angle 1, not 4.

(2) False. Angles 2, 3, 5 added together would make 180, not 3, 4, 5.

(3) True, an interior angle and its corresponding exterior angle are supplementary.

(4) True by the exterior angle theorem.

(5) True because the angles in a triangle add to 180 degrees

Answer:

The answer is 1456

Step-by-step explanation:

Ok so what you have to do is take the 18 and the two 12s and you have to multiply then you have to square it and now i wasted your time and this is payback for deleting my post so no i cant help u with that

Answer:

12.5% decrease

Step-by-step explanation:

decrease = [(old - new) ÷ old] 100

d = [(24 - 21) ÷ 24]100

d = [3 ÷ 24]100

d = [0.125]100

d = 12.5%

The answer is 12.5                  _ _ _ _

                                             /                                

                                           /

                                  \      /

                                     \/

Answer:

32%

Step-by-step explanation:

165/125=1.32

percent change would be 32% because when you add 32 to 100 then divide by 100, you will get the 1.32. and 1.32 is the change in 125 and 165. you would multiply 125 by 1.32 to get 165.

Answer:

25x10^6= 25000000

Step-by-step explanation:

25000000

Answer:

Factorising the equation into brackets can help you identify where the x-intercepts are (where the function cuts the x-axis)

Step-by-step explanation:

When you factorise the equation it would look something like this:

(x + a)(x + b) = 0

This also means:

x + a = 0        and        x + b = 0

x = -a             and        x = -b

Example:

Find where the function y = 2x² + 8x + 6 cuts the x-axis

Factorise the 2 out (highest common factor)

x² + 4x + 3 = 0

(x + 1)(x + 3) = 0

x = -1 or -3

Answer:

Directly proportional, 2:3

Step-by-step explanation:

Directly proprtional as when one increases, so does the other.

2:3 because for every 2 notes there are 3 backbeats.

The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex].

The directional derivative is represented by the following formula:

[tex]\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v[/tex]   (1)

Where:

The gradient of [tex]f[/tex] is calculated below:

[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o}) \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right][/tex]   (2)

Where [tex]\frac{\partial f}{\partial r}[/tex] and [tex]\frac{\partial f}{\partial s}[/tex] are the partial derivatives with respect to [tex]r[/tex] and [tex]s[/tex], respectively.

If we know that [tex](r_{o}, s_{o}) = (1, 3)[/tex], then the gradient is:

[tex]\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right][/tex]

[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right][/tex]

[tex]\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right][/tex]

If we know that [tex]\vec v = 5\,\hat{i} + 10\,\hat{j}[/tex], then the directional derivative is:

[tex]\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right][/tex]

[tex]\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}[/tex]

The directional derivative of [tex]f[/tex] at the given point in the direction indicated is [tex]\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]

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Answer:

1075$ left

Step-by-step explanation:

1500-425

choose for brainliest if this helped pls!

Step-by-step explanation:

far eastern coastal Seva inside and out of love

Answer:

181.9 dollars

Step-by-step explanation:

If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

Answer:

x = 54°

Step-by-step explanation:

Since there are 180 degrees in a triangle, all you would do is add up the angles that you already have. In this case, you would do 64 + 62, which is 126. Then you would do 180 minus the sum of the other two degrees to find x. 180 - 126 = 54, so 54 is the value of x.

Hope this helps!!

Answer:

Step-by-step explanation:

25g + 35 = 260

25g = 225

g = 9 games

Answer:

Because it can make the problem harder

In maths, if there is a question that has a decimal for example like 33.33333333, then that will make the problem harder to perform, that's why, it's not necessary to take the exact answer for some problems. BUT, IF IT SAYS TO TAKE THE EXACT ANSWER, THEN YOU HAVE TO.

Thanks!

Mark me brainliest!

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

Work Shown:

Vertical angles are always congruent

(angle A) = (angle B)

(3x-21) = (2x-13)

3x-21 = 2x-13

3x-2x = -13+21

x = 8

---------

Extra info:

Use this x value to find each angle

angle A = 3x-21

angle A = 3*8-21

angle A = 24-21

angle A = 3 degrees

angle B = 2x-13

angle B = 2*8-13

angle B = 16-13

angle B = 3 degrees

Both angles A and B are 3 degrees, so this confirms the answer.

Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The Vertical angles are always congruent,

(angle A) = (angle B)

(3x-21) = (2x-13)

3x-21 = 2x-13

3x-2x = -13+21

x = 8

Now Use this x value to find each angle;

angle A = 3x-21

angle A = 3*8-21

angle A = 24-21

angle A = 3 degrees

angle B = 2x-13

angle B = 2*8-13

angle B = 16-13

angle B = 3 degrees

Hence Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.

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5x + 8

easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

no is the correct answer

Answer:

False

Step-by-step explanation:

The cube of 9 is 729 and 729 is smaller ( not greater ) than 1,000.

HOPE THIS HELPED