Identitfy a fraction between 1/3 and 5/6

Answer:

20 / 4 =5

Step-by-step explanation:

I think

Answer: The area of the forest after 13 years will be approximately 1457 km^2.

Step-by-step explanation: We can use the formula for exponential decay to find the area of the forest after 13 years. The formula is:

A = A0 * (1 - r)^t

where A is the final area, A0 is the initial area, r is the rate of decay as a decimal, and t is the time in years.

For this problem, A0 = 3700 km^2, r = 0.0875 (8.75% as a decimal), and t = 13 years. Plugging in these values, we get:

A = 3700 * (1 - 0.0875)^13

A = 3700 * 0.5323

A = 1968.51 km^2

Rounding to the nearest square kilometer, the area of the forest after 13 years is approximately 1457 km^2.

Hope this helps, and have a great day!

Answer:

30°

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In a 30°-60°-90° right triangle, the sides are always in the ratio of 1: √3:2, where 1 is the length of the short leg opposite the 30° angle, √3 is the length of the long leg opposite the 60° angle, and 2 is the length of the hypotenuse opposite the 90° angle1234.

In this case, we are given that the long leg is 9√3, so we can use this value to find the other sides by setting up a proportion:

short leglong leg​=13​​

short leg93​​=13​​

Cross-multiplying and solving for the short leg, we get:

short leg=3​93​×1​=9

Similarly, we can use another proportion to find the hypotenuse:

long leghypotenuse​=3​2​

93​hypotenuse​=3​2​

Cross-multiplying and solving for the hypotenuse, we get:

hypotenuse=3​2×93​​=18

Therefore, the measure of the hypotenuse n is 18 and the measure of the short leg m is 9.

The correct solution of the triangle is seen in option D

In this case, we would need to use the sine rule so as to solve the triangle as we have in the problem that is before us here. The sine rule states that;

a/Sin A = b/SinB = c/SinC

We know that we can be able to obtain the angle C using the sine rule;

29/Sin 42 = 33/SinC

SinC = 33Sin42/29

C = Sin-1(33Sin42/29)

C = 49.6 degrees

The angle B is now;

180 - (42 + 50)

B = 88.4 degrees

Then;

b/Sin 88 = 29/Sin42

b = 29 Sin 88/Sin42

b = 28.98/0.669

b = 43.3

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Answer:   About the building of his bed

Answer:

Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.

Given

The equation is given as

Explanation

Factorisation the equation,

Factorise the polynomial.

Hence the answer is

Answer:

398.6

Step-by-step explanation:

Any calculator will work.

Answer:

a+b=3

and

a–b=3

I Think it help you

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.

Answer:

Below in bold.

Step-by-step explanation:

f(x)=2x^3-3x^2

Finding the derivative and equating to zero:

f'(x) = 6x^2 - 6x = 0

6x(x - 1) = 0

So there are turning point at x = 0 and 2 = 1.

Finding the relative maximum:

Second derivative is negative when we have a maximum value:

f"(x) = 12x - 5

- which is negative when  x = 0.

So the relative maximum is at x = 0 where f(x) = 2(0)^3 - 3(0)^2 = 0.

At x = 1, second derivative  = 12(1) - 5 = +7 so this is a relative  minimum.

The function is increasing  in interval -∝ < x < 0

decreasing in interval 0 < x < 1

then increasing in interval   1 < x < ∝

Answer:

Step-by-step explanation:

3(3z-6)=0

multiply your three with the 3z and the -6

9z-18=0

figure out what - 18 = 0

9z=18

9*2=18

z=2

hope this helps

Answer: The initial cost on rent on your first year living there is 1100. Supposing you live there for another 11 years your rent would be 2200 per month.

Step-by-step explanation:110x11=1100 1100+1100=2200

Answer: I think it's 1,100

Step-by-step explanation: We know that the apartment costs $1100 per month during the first year but if it goes up 110 dollars per year how much would total be in 11th year?

First we need to multiply 1100 and 110 which equals 121,000

Secondly, of course we need to make sure that our anwser is correct, now we divide 121,000 with 11 years (which equals 1100)

But of course if it is not correct, I'm very sorry. But Have a nice day/night!

Hope it helped!

-GreenteaStudys

Explanation

We are given the data below:

We are required to determine the value of r² using the table above.

This is achieved thus:

- Using a graphing calculator, we have:

- From the graph above, we have:

Hence, the answer is:

Option A is correct.

Answer:

in explanation

Step-by-step explanation:

angle rules say that those angles respond to each other meaning

they will equal each other

so 6x-4=4x+14

now solve for x

x=9

the top angle will be

6(9)-4=50

bottom angle will be 50

4(9)+14=50

Answer:

A. 11.2

Step-by-step explanation:

But this has nothing to do with 5.6 × 2. Erase that! Lol.

You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.

The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.

The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.

The hypotenuse is 14.

Let's do some Pythagorean Theorem.

Leg^2+ leg^2=hypotenuse^2

you know,

a^2 + b^2 = c^2

fill in what we know.

8.4^2 + b^2 = 14^2

simplify.

70.56 + b^2 = 196

subtract 70.56

b^2 = 125.44

squareroot both sides

b = 11.2

The row form of the system is 5x = 2 and y – y = 0.

Column form:

3x + y = 5

2x – y = –3

Row form:

3x + 2x = 5 – 3

y – y = 0

The row form of this system is 3x + 2x = 5 – 3 and y – y = 0. To convert from column form to row form, the first step is to eliminate the y terms in the equations. To do this, we need to add the two equations together. This gives us:

3x + y = 5

2x – y = –3

3x + 2x = 5 + (–3)

y – y = 0

5x = 2

y – y = 0

Finally, we can solve for x and y.

5x = 2  ⇒  x = 2/5

y – y = 0  ⇒  y = 0

Therefore, the row form of the system is 5x = 2 and y – y = 0.

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Answer:

A = 46%

B = 72%

Step-by-step explanation:

Among the options of inequalities given, the inequality in 3rd option, \(6x-y < -3\) matches the graph.

From the given graph, it can be determined that -

From the above information, the inequality can be represented in a general term as -

\(y > ax+b\) where, a>0 ---- (1)

For the given option (a), it is given that -

\(-6x+y < 3\)

This can also be written as -

\(-6x+y < 3\\= y < 6x+3\) ----- (2)

It can be seen that the equation (2) is not in the form of equation (1). So, option (a) is not the correct inequality.

Now, considering the given option (b), it is given that -

\(6x+y < 3\)

This can also be written as -

\(6x+y < 3\\=y < 3-6x\) ------ (3)

It can be seen that the equation (3) is not in the form of equation (1). So, option (b) is not the correct inequality.

Now, let us consider the given option (c). It is given that -

\(6x-y < -3\)

This can also be written as -

\(6x-y < -3\\=-y < -3-6x\\=y > 6x+3\)--------- (4)

It can be seen that the equation (4) is in the form of equation (1). So, option (c) is the correct inequality.

Thus, it can be said that the inequality in option (c), \(6x-y < -3\) matches the graph.

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The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

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Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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Answer:

38 bb 2

Step-by-step explanation:

slimeeyyy

Answer:

2x^2 + 19x +42

Step-by-step explanation:

x . 2x = 2x^2

x . 7 = 7x

6 . 2x = 12x

6 . 7 = 42

7x + 12x = 19x

2x^2 + 19x +42

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

Unit 1=  $12.4 per gallon

Unit 2= $10.375 per gallon

Step-by-step explanation:

Given

\(Quantity\ 1= 5\ gallons\)

\(Price = \$62.00\)

\(Quantity\ 2= 8\ gallons\)

\(Price =\$83.00\)

Required

The unit price

The unit price is calculated as:

\(Unit = \frac{Price}{Quantity}\)

So, we have:

\(Unit\ 1= \frac{Price \ 1}{Quantity\ 1}\)

\(Unit\ 1= \frac{\$62.00}{5\ gallons}\)

Unit 1=  $12.4 per gallon

\(Unit\ 2= \frac{Price \ 2}{Quantity\ 2}\)

\(Unit\ 2= \frac{\$83.00}{8}\)

Unit 2= $10.375 per gallon

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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