What is the answer to the Brain Teaser below

To find the approximate number of years until the species is extinct, we need to determine the value of t when the population, p(t), reaches zero.

The given equation for the population of the species is p(t) = -t^4 + 72t^2 + 225. To find the years until the species is extinct, we set p(t) equal to zero and solve for t:

0 = -t^4 + 72t^2 + 225

Unfortunately, this equation cannot be easily solved algebraically. However, we can approximate the solution using numerical methods or graphing software. By plotting the graph of p(t) = -t^4 + 72t^2 + 225, we can visually determine the value(s) of t where the population becomes zero.

To find the approximate number of years until the species is extinct, we need to solve the equation -t^4 + 72t^2 + 225 = 0. This requires either using numerical methods or graphing software to determine the value(s) of t when the population reaches zero.

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Answer:

5 + 2x=2x + 6

Subtract 5 from both sides.

2x =2x + 6 - 5

Combine like terms (numbers).

2x = 2x + 1

Subtract 2x from both sides.

0 = 1

Since 0 doesn’t equal 1, there is no real solution to the problem.

:)

Step-by-step explanation:

\(5 + 2x = 2x + 6 \\ \\ 2x = 2x + 6 - 5 \\ \\ 2x = 2x + 1 \\ \\ 2x - 2x = 1 \\ \\ x = 1\)

Answer:

Step-by-step explanation:

The area of the square is:

A = side^2 = 8^2 = 64 cm^2

Since the star covers 40% of the area of the square, its area is:

a_star = 0.4 * 64 = 25.6 cm^2

Let the width of the rectangle be 8 cm. Then, the length of the rectangle is:

l = 8 + 0.6*8 = 12.8 cm

The area of the rectangle is:

A_rect = wl = 812.8 = 102.4 cm^2

To calculate the area of the star inside the rectangle, we need to know the dimensions of the rectangle that are covered by the star. Since the star is inside a square of side 8 cm, its maximum width and height are both 8 cm. Therefore, the maximum area of the star inside the rectangle is:

a_star_max = 8*8 = 64 cm^2

However, this area is larger than the area of the star itself, which is 25.6 cm^2. Therefore, the area of the star inside the rectangle is 25.6 cm^2.

The percentage of the rectangle that the star covers is:

% coverage = (area of star inside rectangle / area of rectangle) * 100

= (25.6 / 102.4) * 100

= 25%

Therefore, the star covers 25% of the rectangle.

An applicant needs 84.04 minutes to finish the test in order for 97 percent of them to pass.

An aptitude test is required of job candidates. Let's assume that the test's completion time has a mean of 69 minutes and a standard deviation of 8 minutes.

To get how much time an applicant should be given so that 97 percent of them will be able to complete the test.

Mean (μ) = 69

standard deviation (σ) =8

Hence, due to population standard deviation (σ) is known to use the normal distribution.

x_ Norm (μ,σ)

x_ Norm (69,8)

Therefore, x_ random variable that represents the time of applicant;

P(X<x) = 0.97

Corresponding to the left tail area of 0.97 lies in the z-table of z row of 1.8 and column 0.08.

P(z < 1.88) = 0.97

z < 1.88

(X - μ)/σ < 1.88

X < 1.88 (8) + 69

X < 84.04

The time taken by an applicant so that 97 percent of them will be able to complete the test is 84.04 minutes.

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Answer:

x=2y-9

Step-by-step explanation:

y−9=x2 - next you have to take square root of both sides: x=√y−9 - now we can write the inverse function returning to the conventional variable naming x as the independent variable and y as the function value. Answer: The inverse function is: y=√x−9

Thx for asking.  :)

Answer:

False

Step-by-step explanation:

14.6/2 = 7.3

7.3 x 3 = 21.9

21.9 - 1.9 = 20

Other side:

8 - 4 = 4

4 x 3 = 12

20 does not equal 12

therefore false :)

Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams. 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

Given that,

The 1982 change in pennies composition from all copper to zinc with copper coating was made by the US Mint. Prior to 1982, pennies weighed 3.1 grams. Coins produced after 1982 weigh 2.5 grams.

We have to find how many coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

An issue of quantity and amount. In this context, the term "amount" refers to weight. The variables should be identified with letters that will make them easy to distinguish: Z for largely zinc and C for all copper. Create weight and quantity equations:

C + Z = 1287

3.1 C + 2.5 Z = 3601.5

By multiplying all three components of the first equation by -2.5 and placing them under the second equation, drawing a line, and then subtracting, you can eliminate the Z using this method.

3.1 C + 2.5 Z =  3601.5

-2.5 C -  2.5 Z = -3217.5

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

0.6 C              =    384      

Divide both sides by .6.

C = 640        

Subtract 640 from 1287.

Z = 647

Therefore, 647 coins from each period are there in the bag if it contains 1267 pennies and weighs 3541.9 grams.

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Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

$240 - $80 = 160

\(\frac{160}{240} = \frac{2}{3}\)

\(\frac{160 | 80}{240 | 80}\) = 2/3

Answer:

12/100

Step-by-step explanation:

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

Given

7 + (5 – 9)2 + 3(16 ÷ 8)

By using PEDMAS rule,

= 7 + (-4)2 + 3(2)

= 7 + (-8) + 6

= 7 - 8 + 6

= -1 + 6

= 5

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

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The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,

⇒ 29

Since, We knw that,

PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

We have to given that,

Expression is,

7 + (5 - 9)² + 3(16 ÷ 8)

Now, Simplify By using PEDMAS rule,

= 7 + (5 - 9)² + 3(16 ÷ 8)

= 7 + (-4)² + 3(2)

= 7 + 16 + 6

= 23 + 6

= 29

Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29

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Step-by-step explanation:

it just means that you save 50% (half) of the money you have left after deducting your expenses.

now, there is a little problem with the problem description (please send my regards to your teacher), as a month is usually a little bit longer than 2×2 weeks.

if this was defined that way on purpose, then we need to do a whole year calculation of 12 months and 52 weeks and then cut the result back to 1/12 (a month) of the year.

otherwise we would simply calculate 1 month with 2×2 weeks.

so, I will do it twice here : one for the precise annual calculation, and one for the rough monthly calculation.

you need to pick from these two approaches what you actual need.

1. precise annual calculation :

the annual (12 months) income is

12 × $3,167.89 = $38,014.68

the annual deductions (52/2 = 26 times) are

26 × $954.32 = $24,812.32

the amount of money left at your disposal is then

$38,014.68 - $24,812.32 = $13,202.36

half (50%) of that is

13,202.36/2 = $6,601.18

so, you are saving over the course of a whole year

$6,601.18.

that is per month

6,601.18/12 = $550.0983333... ≈ $550.10

2. rough monthly calculation (1 month, 2×2 weeks) :

your income = $3,167.89 per month.

your deductions per month = 2×954.32 = $1,908.64.

that means you have left every month

3,167.89 - 1,908.64 = $1,259.25

half (50%) of that you save, which is

1,259.25/2 = $629.625 ≈ $629.63

you see the difference between the precise and the rough calculation.

I would use 1. because of the strange problem definition.

but you know better what your teacher wants.

Answer:

21.07 m²

Step-by-step explanation:

Please find the complete question in the attached image

Area of shaded region = area of rectangle - area of semicircle

Area of semicircle = \(\frac{1}{2}\)πr²

π = 3.14

r = radius = 14/2 = 7m

the diameter of the semicircle is 14m , thus the radius would be half of the diameter

(1/2) x 3.14 x 7² = 76.93 m^

Area of a rectangle = length x width

width = radius of semicircle = 7

14 x 7 = 98 m²

Area of shaded region =  98 m² -  76.93 m^ = 21.07 m²

The Z value(atomic number) of the given atom is 8

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Answer:

1.72 million

Step-by-step explanation:

Use the given functions to set up and simplify 2%

2%=0.02

4300X8=34,400

34,400/0.02= 1.72 million

Answer:

C. 169

Step-by-step explanation:

144+152+139+171+169=775

775÷5=155

The monsoon forests, from Myanmar to Indochina and the Philippines, have extensive areas of forest dominated by deciduous and broad-leaved trees is the answer.

Deciduous trees lose their leaves seasonally and are common in areas with distinct seasons. The forests in this region are sometimes referred to as "dry forests" or "tropical deciduous forests. "The Broad-leaved trees are also common in monsoon forests. These trees have large leaves and can be evergreen or deciduous. They typically grow in warm, moist environments and can be found throughout the world in tropical and subtropical regions. These trees provide important habitat for a variety of species, including birds, mammals, and insects. In addition to deciduous and broad-leaved trees, monsoon forests may also contain other types of vegetation, such as bamboo and grasses. These forests are important ecosystems that provide many benefits to the surrounding communities, including timber and other forest products, water regulation, soil conservation, and biodiversity conservation.

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Answer:

Step-by-step explanation:

\begin{align*}

T_{1,1} &= \frac{1}{2} (f(0) + f(1)) \\

&= \frac{1}{2} (1 + \frac{1}{2}) \\

&= \frac{3}{4}

\end{align*}

Now, for two subintervals:

\begin{align*}

T_{2,1} &= \frac{1}{4} (f(0) + 2f(1/2) + f(1)) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \left(\frac{1}{2}\right)^2}\right) + \frac{1}{1^2}\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \frac{1}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{\frac{5}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \cdot \frac{4}{5} + 1\right) \\

&= \frac{1}{4} \left(1 + \frac{8}{5} + 1\right) \\

&= \frac{1}{4} \left(\frac{5}{5} + \frac{8}{5} + \frac{5}{5}\right)

\end{align*}

Thus, the approximate value of the integral using Romberg's method is T_2,1, and this can also be used to obtain an approximate value of π.

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Answer:

I would say -F=0.4

Step-by-step explanation:

if F=-0.4 and -F is the opposite of F then the opposite of -0.4 is 0.4

The number of bags of maize loaded is A = 50 bags

Given data ,

A lorry weighs 3.2 tonnes when empty. It weighed 7.7 tonnes when loaded with 90 kg bags of maize.

To find the number of bags of maize loaded onto the lorry, we need to calculate the difference in weight between the loaded and empty states, and then convert that difference into the weight of the bags.

The weight of the lorry when loaded with bags of maize is 7.7 tonnes, and when empty, it weighs 3.2 tonnes. Therefore, the weight of the bags of maize is:

7.7 tonnes - 3.2 tonnes = 4.5 tonnes

On simplifying the equation , we get

Number of bags = (Weight of maize) / (Weight per bag)

= 4.5 tonnes / 0.09 tonnes

= 50 bags

Hence , there were 50 bags of maize loaded onto the lorry

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Answer:

Step-by-step explanation:

Given the interval for the measurement to be  60 m ± 4.5%, the posible range of each measurement is expressed as shown;

60 m ± 4.5% =  60 m ± 4.5/100

=  60 m ± 0.045

= (60 - 0.045, 60+0.045)

= (59.955, 60.045)

Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)

Answer:

C=12h+7

Step-by-step explanation:

The total cost = 7 (flat rate) + 12h (12/hour)

Answer:

C . Starting at the origin, move 3 units up and 7.75 units to the left.

Step-by-step explanation:

Answer: B

Step-by-step explanation: 61 - (f x 14) would give us the number of french fries he had left over

Answer:

there are 144 students in total

It's important to follow the order of operations to ensure accurate calculations. the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.

To perform the calculation using the correct order of operations, we need to follow the rules of precedence, also known as the PEMDAS rule. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Let's break down the given expression step by step:

5.25 + 41.8 + 34.1

According to the PEMDAS rule, we need to start with any calculations inside parentheses, but there are no parentheses in this expression. Next, we move to addition and subtraction from left to right.

5.25 + 41.8 equals 47.05.

Now we add 34.1 to the result:

47.05 + 34.1 equals 81.15.

Therefore, the correct answer to the calculation 5.25 + 41.8 + 34.1 is 81.15.It's important to follow the order of operations to ensure accurate calculations.

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Answer:

True.

Step-by-step explanation:

The rule for reflecting the X value is to negate the Y value but leave the X as it is.

Example: K= (7,2) when reflected it would be (7,-2).

Answer:

I am pretty sure the answer is A. I really hope this helps

Step-by-step explanation:

I dont have time to explain it im sorry my next class starts in 3 mins

Answer:A

Step-by-step explanation: