a certain forest covers an area of 1700km^(2). Suppose that each year this area descreases by 7.5%. What will the area be after 11 years?

round your answer to the nearest square kilometer.

Answers

Answer 1

The area of the forest after 11 years will be 298 km².

To calculate the area of the forest after 11 years, we need to decrease the initial area of 1700 km² by 7.5% each year for 11 years.

First, let's calculate the decrease in area for one year:

Decrease in area for one year = 7.5% of 1700 km²

7.5% of 1700 km² = (7.5/100) × 1700 km²

= 127.5 km²

Now, we can calculate the total decrease in area over 11 years:

Total decrease in area over 11 years = 11 × 127.5 km² = 1402.5 km²

Finally, we can subtract the total decrease in area from the initial area to get the area of the forest after 11 years;

Area of the forest after 11 years = Initial area - Total decrease in area

= 1700 km² - 1402.5 km²

= 297.5 km²

Therefore, Rounding to the nearest square kilometer, the area of the forest after 11 years will be approximately 298 km².

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Related Questions

Dingaka receives R12650R12650 when taking out a loan with an annual simple discount rate of 12,5%12,5%. The loan has to be repaid in eight months’ time. The amount that he has to repay is?​

Answers

Dingaka took out a loan of R12650 with a simple annual discount rate of 12.5%. He has to repay R11595.83 in eight months, after deducting the simple discount of R1054.17.

To find the amount that Dingaka has to repay, we can use the formula for simple discount

Simple Discount = Principal * Rate * Time

Where Principal is the original amount borrowed, Rate is the annual simple discount rate, and Time is the time period in years.

We know that Dingaka received R12650 as the principal amount and the annual simple discount rate is 12.5%, which is equivalent to 0.125 as a decimal. The time period is 8/12 = 2/3 years, since the loan has to be repaid in eight months' time.

Plugging these values into the formula, we get

Simple Discount = 12650 * 0.125 * 2/3

= 12650 * 0.08333333

= 1054.166625

Therefore, the amount that Dingaka has to repay is the principal minus the simple discount, which is

Amount to Repay = Principal - Simple Discount

= 12650 - 1054.166625

= 11595.833375

So, Dingaka has to repay R11595.83 after eight months.

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QUESTION ONE
(a) If the mean of five values is64, find the sum of the values
(b) If the mean of five values is 8.2 and four of the values are 6, 10, 7, and 12, find the fifth vaue.
(c) Find the mean of 10, 20, 30, 40, and 50.
i) Add 10 to each value and find the mean.
ii) Subtract 10 from each value and find the mean.
iii) Multiply each value by 10 and find the mean.
iv) Divideeach value by 10 and find the mean.
v) Make a general statement about each situation.

QUESTION TWO
a)Find the mean deviation for these data. 5, 9, 10, 11, 11, 12, 15, 18, 20, 22

b)The mean marks in statistics of 100 students in a class was 72 per cent. The mean marks of boys
was 75 per cent, while their number was 70 per cent. Find outthe mean marks of girls in the
cass.

c)The weighted geometric mean of the four numbers 20, 18, 12, and 4 is 11.75. If the weights of
the first three numbers are 1, 3, and 4, respectivey, find the weight of the fourth number

QUESTION THREE
a)For a group of 50 male workers, the mean and standard deviation of their monthly wages
are $6300 and $900 respectively. For a group of 40 female workers, these are $ 5400 and $
600 respectively. Find the standard deviation of monthly wages for the combined group of
workers.

b)A study of the age of 100 persons grouped into intervals 20–22, 22–24, 24–26..., revealed
the mean age and standard deviation to be 32.02 and 13.18 respectivey. While checking it
was discovered that the observation 57 was misread as 27. Cacuate the correct mean age and standard deviation

QUESTION FOUR
The weekly sales of two products A and B were recorded as given below:
Product A : 59 75 27 63 27 28 56
Product B : 150 200 125 310 330 250 225
Find out which of the two shows greater fluctuation in sales

Answers

(a) Sum of values = Mean × Number of values = 64 × 5 = 320

(b) Sum of values = Mean × Number of values = 8.2 × 5 = 41

Fifth value = Sum of values - sum of known values = 41 - (6 + 10 + 7 + 12) = 41 - 35 = 6

How to solve

(c) The resulting middle number when computing 10, 20, 30, 40, 50;that is (10 + 20 + 30 + 40 + 50)/5, totals up to 150 and dividing that number by 5 reflects a mean of 30.

i) Forming an average of 20, 30, 40, 50, 60;that is (20 + 30 + 40 + 50 + 60)/5 provides an outcome of 200 and divided by 5 reveals a mean of 40.

ii) With 0, 10, 20, 30, 40 used, (0 + 10 + 20 + 30 + 40)/5 practices calculation yielding a total of 100 which, split into five parties, imparts a mean of 20.

iii) Taking into consideration the input of 100, 200, 300, 400, 500;whereby (100 + 200 + 300 + 400 + 500)/5 develops a collective of 1500, cut in half produces a mean of 300.

iv) Calculating 1, 2, 3, 4, 5's mean; namely (1 + 2 + 3 + 4 + 5)/5 ascertains a collective amount of 15, divide that figure by five culminates with a mean of 3.

v) Accordingly, the following general assumptions can be made:

i) Introducing a constant to each value augments the mean by that very same constant.

ii) Extracting a constant from all values decrements the mean by such said constant.

iii) Multiplying every value by one constant multiplies the mean by the same specific constant.

iv) Dividing all values by a particular constant divides the mean by that given constant.

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What is the area of the reduced rectangle? 0.18 square units 1.8 square units 18 square units 180 square units

Answers

The  area of the reduced rectangle is 1.8 unit²

The correct answer is an option (b)

Here the length of the rectangle is 15 units.

And the width of the rectangle is 12 units.

The rectangle has been reduced by a scale of 1/10

so, the new length of the rectangle is:

l = 1/10 × 15

  = 1.5 units

And the new width of the rectangle is:

w = 1/10 × 12

   = 1.2 units

We need to determine the area of the reduced rectangle.

Using the formula for area of rectagle, the area of the reduced rectangle would be:

A = l × w

A = 1.5 × 1.2

A = 1.8 unit²

Therefore, the correct answer is an option (b)

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The complete question is:

The rectangle below has been reduced by a scale of StartFraction 1 over 10 EndFraction. A rectangle has a length of 15 and width of 12. [Not drawn to scale] What is the area of the reduced rectangle?

a) 0.18 square units

b) 1.8 square units

c) 18 square units

d) 180 square units

Is anyone good with Math or History

Answers

The probability of passing at least one will be 0.70.

We know that,

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

here, we have,

Probability of passing history course = 0.59

Probability of passing math course = 0.60

Probability of passing both courses = 0.49

so, we get,

Probability of passing at least one will be

⇒ 0.59 + 0.60 – 0.49

⇒ 0.70

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complete question:

A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?

Vocabulary
1. The remainder is the number that remains after the division is
complete. Use an R to indicate the remainder.
Tia has 26 walnuts. She gives 7 walnuts to each friend. How many friends get
7 walnuts? How many walnuts are left over?
Use the array to find 26+7. Circle the groups of 7.
There are
groups of 7.
left over.
There are
2647-
friends each get 7 walnuts.
walnuts left over.
000000
000000
0.0
000
O
There are
2. Juan puts 57 oranges in bags. Each bag holds 6 oranges. Use the array to divide.
To find 57 +6, circle groups of
5746-
How many full bags of oranges are there?
How many oranges are not in bags?
How many bags does Juan need to put all the oranges in bags?.
3. How many craft sticks will be left over if 9 friends equally share a
package of 85 craft sticks?
000000
OOO
000
000
O
000000
000000
000000
000000
4. A group of 43 people are going to a concert. If 6 people fit in each
car, how many cars will they need to take?
000000
000000
On the Back!
6. Find the number of equal groups and the number left over for
88 +3. Show your work.
bags
000
5. Bess has 19 sunflowers that she is putting into vases. She will put 4 sunflowers in
each vase. How many vases will have 4 flowers?

Answers

The number of friends that get 7 walnuts is 3 and there are 5 walnuts are left over

Sharing walnuts among friends

Here, we have

Walnuts = 26Walnuts to each friend = 7

So, we have

Friends = 26/7 = 3 R 5

This means that 3 friends get 7 walnuts and there are 5 walnuts are left over

Putting oranges in bags

Here, we have

Oranges = 57

Oranges in each bags = 6

So, we have

Bags  57/6 = 9 R 3

This means that there are 9 full bags of oranges, 3 oranges are not in the bag and Juan needs 10 bags in total

Crafts in sticks

Here, we have

Craft sticks = 85

Friends = 9

So, we have

Sticks left = 85\9

Evaluate

Sticks left = 4

Hence, there will be 4 sticks left

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Match these values of r with the accompanying​ scatterplots:

−0.405​,

−0.998​,

−1​,

−0.743​,

and

0.743.

Answers

The matching table is given in the image below:

What is a Scatter Plot?

A scatter plot, an undeniably essential chart for visualizing the correlation between two variables, is constructed by putting one variable on the x-axis and another one alongside the y-axis, with each individual data point symbolizing both associated values.

Scatter plots are not only indispensable when inspecting trends and peculiarities in a given set of data but can likewise be applied to examine the relationship or link between the two components.

Essentially imperative to fields such as economics, engineering, and statistics, these diagrams are efficiently drawn up through popular software applications like Excel or Python.

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f(x)=3x-15 g(x)=1/3x+15
find f(g(x))
g(f(x))
are they inverses if do, why?

Answers

The values for the composition of functions are:

a. (f o g)(x) = -x³ - x + 1

b. (g o f)(x) = -x³ - x - 1

Here, we have,

to Determine the Value of Composite Functions:

The value of composite functions are determined by first finding the output of the inner function, which would be used as the input of the outer functions to derive the value of the composite functions.

Given the following:

f(x) = x³ + x + 1

g(x) = -x

a. To find (f o g)(x), substitute g(x) as the inner function for x into f(x):

(f o g)(x) = (-x)³ + (-x) + 1

Simplify

(f o g)(x) = -x³ - x + 1

b. To find (g o f)(x), substitute f(x) as the inner function for x into g(x):

(g o f)(x) = -(x³ + x + 1)

Distribute by -1

(g o f)(x) = -x³ - x - 1

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complete question:

If f(x)=x³+x+1 and g(x)=-x, find (f°g)(x) and (g°f)(x).

(f°g)(x)=

A student is using wooden blocks to build two towers of different heights. All of the blocks are the same size and have a height of 3/4inch. The short tower is 5 blocks high and the tall tower is 9 blocks high. What is the difference in height, in inches, between the short tower and the tall tower?

Answers

The difference in height of short and tall tower is 3 inch.

We have,

length of each block = 3/4 inch

So, the length of 5 block

= 5 x 3/4

= 15/4 inch

and, the length of 9 blocks

= 9 x 3/4

= 27/4 inch

So, the difference in height of short and tall tower is

= 27/4 - 15/4

= 12/4

= 3 inch

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What is the sum of 3.0 x 4.1 x 5.5

Answers

Answer: 67.65

Step-by-step explanation:

Multiply 3.0*4.1 and you get 12.3

Then take that sum and multiply it by the 5.5

So 12.3*5.5=67.65

The sum of 3.0 x 4.1 x 5.5 is equal to 67.65.

Classify the following into finite and infinite set
(i) The set of months in a year
(ii)The set of stars in the galaxy
(iii)The set of even integers
(iv)The set of odd integers
(v)The set of alphabets

Answers

i) finite set, ii) infinite set, iii) infinite set, iv) infinite set, and v) finite set are the required solutions.

A Set is a collection of objects with similar properties. There are different types of set two of them are finite and infinite set.

Finite set- A set is called a finite set when the elements inside the set are countable or where we can know the starting and the ending of the elements. For example- A set of players in a cricket team.

Infinite set- A set is called an infinite set when the elements inside the set are uncountable or where the ending of the elements is not known. For Example- A set of positive numbers.

Here in the question the option (i) and (v) are finite sets because the no.of months in the year and no.of alphabets are countable or finite. Option (ii), (iii), and (iv) are infinite sets as no.of stars in the galaxy, even integers, and odd integers are uncountable.

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Answer:

the set of months in a year is finite

the set of star in the Galaxy is finite

the set of even integers is infinite

the set of odd integers is infinite

the set of alphabet is finite

Step-by-step explanation:

1) the set of month in a year is finite because they are limit and we can count them easily

2) the set of star in the galaxy is finite cause there are zillions of stars

3) the set of even integer is infinite because numbers are unlimit or infinite

4) the set of odd integers is infinite cause numbers are infinite ir they have not limit

5) the set of alphabet is finite because we can count them limitedly

8 cupcakes in 1 box = 16 cupcake in X boxes

Answers

Answer:

2 boxes

Step-by-step explanation:

8 cupcakes in 1 box = 16 cupcake in x box

We Take

16 ÷ 8 = 2 boxes

So, the answer is 2 boxes.

Answer: 2 boxes
Explanation: There are 8 cupcakes in 1 box. If there are 16 cupcakes, (8x2=16) there are 2 boxes.

What function does this table make

Answers

Answer:

  f(n) = 3^(n -1)

Step-by-step explanation:

You want a function that describes the relation shown in the table.

Analysis

The values under Steps are sequential, which makes determining the function a lot easier.

The values listed under Black Triangles don't have a common difference, but they do have a common ratio:

  r = 3/1 = 9/3 = 27/9 = 3

Exponential function

For this function, we'll use 'n' as the independent variable (the number of steps), and we'll call the function 'f'.

For common ratio r and a pair of table values (n, f(n)) = (a, b), the exponential function can be written as ...

  f(n) = b·r^(n -a)

With r=3 and (a, b) = (1, 1), this becomes ...

  f(n) = 1·3^(n -1)

The multiplier 1 isn't really needed, so we can use ...

  f(n) = 3^(n -1)

Using the picture, give the term that best describes
each of the following.
C.
1.
E
D
B
G
F
H
BC
3. DH
4. EH 5. OG 6. GF
7. B
2. Term not applicable to this diagram

Answers

The labelled parts are described as follows

1. BC - Tangent

3. DH - Chord

4. EH - Diameter

5. G - center of the circle

6. GF Radius of the circle

7. B. a point of tangency

What is tangent and chord of a circle

Tangent: Referenced as a point of tangency, a tangent to a circle is a line that meets the circumference at one solitary area while never penetrating inside its bounds. To explain further, this line is perpendicular to the radius of the circle right at the tip of contact.

Chord: Referring to such an element, a chord of a circle is a straight piece between two areas that lay along the circumference. Without having any relation to the middle of the target object, it has both of its extremities on the peripheral border.

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rancher wants to enclose a rectangular plot of land, but have a divider in the middle. There is 240 feet of fencing available. What dimension will produce the largest area the rancher can make? What is the max area? Dimensions: __________________ Area:___________ --------------------------------------------------------------------------------------------------------- 2. (10 points) From a thin square piece of cardboard 20 in. per side, square corners (x) are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Dimensions: __________________ Volume:___________ ----------------------------------------------------------------------------------------------------------- 3. (10 points) During a recent oil spill in the gulf, the radius of the spill was increasing at a rate of 10 feet per second. How fast is the circular area of the spill increasing at the moment that the radius is 80 feet? dA = dt __________

Answers

The solution is, the two dimensions  will be 2121.32 by 1414.2.

Here, we have,

let X and Y be the two dimensions.

Area will be X times Y.

XY = 3000000

Y = 3000000 / X

Perimeter = 2x + 3y

substituting the values:

Perimeter = 2x + 3*3000000 / x

               = 2x + 9000000 / x

so, we get,

2 = 9000000 / x^2

x^2 = 9000000 / 2 = 4500000

x = sqrt(4,500,000)

  = 2121.32

  = 1000 sqrt (4.5)

y = 3000000 / 2121.32

  = 1414.2

  = 1000 sqrt(2)

so the dimensions will be 2121.32 by 1414.2 .

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complete question:

A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

Volume of Prism 2 3/4, 5 1/2, 3 2/5

Answers

Volume of the prism given is 51 [tex]\frac{17}{40}[/tex].

The volume of the prism is given by the formula,

Volume of the prism = Base area × height

Base area = 2 3/4 × 5 1/2

                 = 11/4 × 11/2

                 = 121 / 8

Volume of the prism = 121 / 8 × 3 2/5

                                  = 121/8 × 17/5

                                  = 2057/40

                                  = 51 17/40

Hence the volume of the prism is 51 [tex]\frac{17}{40}[/tex].

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Look at the picture

Answers

According to the information, we can infer that the area of the triangle is: 19 1/4ft²

How to calculate the area of the triangle?

To calculate the area of the triangle, we need to use the formula for the area of a triangle:

Area = (1/2) x base x height

where,

Base = 5 1/2 ftHeight = 7 ft.

How  to find the height of the triangle?

To find the height of the triangle, we need to use the Pythagorean theorem, which relates the slant height, height, and half the base:

(slant height)^2 = (height)^2 + (1/2 base)^2

Substituting the given values, we get:

(1/3)^2 = (7)^2 + (1/2 x 5 1/2)^2(1/9) = 49 + (15/4)(1/9) = (196/4 + 15/4)(1/9) = (211/4)

Multiplying both sides by 36, we get:

4 = 844.44...

So the height of the triangle is approximately 2.04 ft.

Now we can plug in the values for the base and height into the formula for the area:

Area = (1/2) x 5 1/2 x 7Area = 19.25 square feetArea = 19 1/4ft²

Therefore, the area of the triangle is approximately 19.25 square feet.

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The function f(x) = 1.85x^2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.

Answers

Answer:

I helped you last time so I'll help you again.

Step-by-step explanation:

We can find the average rate of change of f(x) over the interval [10, 20] using the formula:

average rate of change = (f(b) - f(a))/(b - a)

where a = 10 and b = 20.

So, we have:

f(a) = f(10) = 1.85(10)^2 = 185

f(b) = f(20) = 1.85(20)^2 = 740

average rate of change = (740 - 185)/(20 - 10) ≈ 55.5

Therefore, the average rate of change of f(x) over the interval [10, 20] is approximately 55.5.

A sack of rice wieghs 50 kilos. What is the weight of 85 sacks of rice?

Answers

Answer:

4250 kilos

Step-by-step explanation:

picture look in the picture

Answers

Answer:

The measure of angle E is 56°.

What is the meaning of "the equation ax = b has a solution for every b ∈ H"?

Answers

In the given image, H is a non-empty set of complex numbers, a and b are complex numbers, and x is a variable.

"The equation ax = b has a solution for every b ∈ H" means that for any complex number b in the set H, there exists a complex number x such that the product of a and x is equal to b.

In other words, for every numbers of b in H, there exists a solution for x that satisfies the equation ax = b.

This statement has important implications in linear algebra and functional analysis, where it is used to define the concept of a surjective linear transformation in numbers. It also has applications in many areas of mathematics and science, including engineering, physics, and computer science.

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How much will you have in our retirement account at the end of 2 years if you contribute $3,000 a year and have a 100% employer match? Assume a 9% annual return on your investments and end-of-year contributions.

0 $12,540.00
0 $6,000.00

Answers

Assuming that the $3,000 annual contribution is made at the end of each year, and that the 100% employer match is also made at the end of each year, the total contribution for each year would be $6,000 ($3,000 from you and $3,000 from your employer).

At a 9% annual return, the future value of each $6,000 contribution at the end of two years would be:

Year 1: FV = $6,000 x 1.09 = $6,540
Year 2: FV = ($6,000 + $6,540) x 1.09 = $13,080

Therefore, the total amount in your retirement account at the end of two years would be $13,080.

Can u mark my answer as the Brainlyest if it work Ty

HELP ME ASAP PLS. If 19,432 divided by x equals 48 with a remainder of 232. What is X?

Answers

The value of x, given that when it divides a number, there is a quotient and a remainder, is 400

How to find the value of x?

To find the value of divisor, we can use a variant of the division algorithm formula :

Divisor = ( Dividend - Remainder ) / Quotient

x is the divisor

Dividend = 19, 432

Remainder = 232

Quotient = 48

This means that the value of x is:

x = ( 19, 432 - 232 ) / 48

x = 19, 200 / 48

x = 400

In conclusion, x is 400.

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If a solid has 6 faces and 12 edges, how many vertices does it have? A. 10 vertices B. 9 vertices C. 7 vertices D. 8 vertices

Answers

Answer: D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Please help me solve questions 14,15, & 16.

Answers

Answers in bold:14.  probability = 2/13  (choice D)15.  probability = 4/663 (choice C)16.  probability = 3/52 (choice B)

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

Explanation for problem 14

There are 4 aces and 4 copies of "9".

4+4 = 8 cards we want to select out of 52 total

8/52 = (4*2)/(4*13) = 2/13  which points to choice D as the final answer

---------------

Explanation for problem 15

4 kings gives a probability of 4/52 = 1/13.

After the king is chosen, there are 52-1 = 51 cards left since we aren't replacing it. The probability of getting a queen on the second selection is 4/51

(1/13)*(4/51) = 4/663 is the probability of a king, then a queen, with no replacement. We arrive at choice C as the final answer.

----------------

Explanation for problem 16

face card = picture card

face card = Jack, Queen, King

aces are not considered a face card

3*4 = 12 face cards in total

A = 12/52 = (4*3)/(4*13) = 3/13 is the probability of selecting a face card.

That card is then put back (aka replacement) and we still have 52 cards in the deck. We don't drop down to 51.

13 hearts ---> B = 13/52 = 1/4 is the probability of getting a heart

A*B = (3/13)*(1/4) = 3/52 is the probability of getting a face card, then a heart, when replacement is done. The final answer is choice B

(ILL GIVE YOU 100 POINTS!!)
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below: Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?

a Step 2; 8x − 4 = 2(6 + x + 6)

b Step 2; 8x − 16 = 16 + 2x

c Step 3; 6x − 2x = 16 − 8

d Step 3; 6x + 2x = 16 + 8

Answers

Answer:

step 2 is wrong

Step-by-step explanation:

4 multiply by 2x = 8x4 multiply by -4 = -16CORRECT STEP4(2x - 4) = 8 + 2x + 88x - 16 = 8 + 2x + 88x - 16 = 2x + 16 6x = 32x = 32/6 = 5 ( approximately )

Here, The work of a student to solve the equation :

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

The steps for calculating the value of x are :

Step 1: [tex]4(2x - 4) = 8 + 2x + 8[/tex]

Step 2: [tex]6x - 8 = 16 + 2x[/tex]

Step 3: [tex]6x - 2x = 16 + 8[/tex]

Step 4: [tex]4x = 24[/tex]

Step 5: [tex]x = 6[/tex]

Step 2 is incorrect, as the student instead of multiplying, adds the number as:

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

Here, the correct step is:

[tex]\boxed{\bold{8x - 16 = 16 + 2x}}[/tex]

[tex]6 x = 32[/tex]

[tex]x = 5.33[/tex]

So, the error is in STEP 2 and the correct option is (B).

(a) The equation of a straight line, 4, is given as y=-²x = ³
(i) State the gradient of the line, l₁.
(ii)The point A (b, 4) lies on the line l₁. Determine the value of b.
(iii) A line, 12, passing through the point (0,-5), is perpendicular to l₁. Find the equation of the straight line l2. ​

Answers

(i) The gradient of the line l₁ is -2.
(ii) Substituting the coordinates of point A (b, 4) into the equation of the line l₁, 4 = -2b + 3. Solving for b, we have b = -1/2.
(iii) Since the line 12 is perpendicular to l₁, its gradient is the negative reciprocal of the gradient of l₁. Thus, the gradient of the line 12 is 1/2. Using the point-slope form of the equation of a straight line, the equation of the line 12 is y + 5 = 1/2(x - 0) or y = 1/2x - 5.

A hippopotamus weighs 2 tons and a crocodile weighs 20 lbs.

How many times as much as the hippopotamus does the crocodile weigh?

Answers

The crocodile weighs 0.005 times as much as the hippopotamus.

To determine how many times as much as the hippopotamus a crocodile weighs, we need to compare the weights of both animals. However, they are currently in different units, so we need to convert them to a common unit.

We can convert the weight of the hippopotamus from tons to pounds by multiplying by 2,000, since there are 2,000 pounds in a ton. This gives us:

Hippopotamus weight = 2 tons × 2,000 pounds/ton = 4,000 pounds

Now that both weights are in pounds, we can compare them. To determine how many times as much as the hippopotamus the crocodile weighs, we can divide the weight of the crocodile by the weight of the hippopotamus. This gives us:

Crocodile weight / Hippopotamus weight = 20 pounds / 4,000 pounds = 0.005

Alternatively, we could say that the hippopotamus weighs 200 times as much as the crocodile.

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Simplify the expression: 8y + 4 - 3y + 12

Answers

The simplified expression is:

8y + 4 - 3y + 12 = 5y + 16

How to simplify the expression?

Remember the distributive property:

A*(B + C) = A*B + A*C

Now let's look at our expression, it is:

8y + 4 - 3y + 12

We can reorder the terms to get:

8y - 3y +4 + 12

Now we can take y as a common factor:

(8 - 3)y + 4 + 12

Now simplify the two operations:

(8 - 3)y + 4 + 12 = 5y + 16

That is the expression simplified.

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Find the tangent of the smaller acute angle in a right triangle with side lengths 8, 15, and 17

Answers

Answer: the tangent of the smaller acute angle in this right triangle is 8/15.

Step-by-step explanation:

Since the side lengths of the correct triangle are given as 8, 15, and 17, able to see that the sides with lengths 8 and 15 are the legs of the proper triangle, and the side with length 17 is the hypotenuse.

We know that the littler intense point θ is inverse the shorter leg of length 8. Hence, the digression of θ is:

tan(θ) = opposite/adjacent = 8/15

Alicia bitman,age
30,plans to purchase a $50,000 whole-life policy what is the annual premium

Answers

The annual premium is $192.5.

We have,

Number of units to be purchased by Alicia:

= 50,000 / 1,000

= 50 units

At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.

= Number of units purchased x Premium per $1,000

= 50 x 3.85

= $192.5

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