Find the value of a2+bc√−d, when




a = –3, b = 2, c = 100, and d = –2

Answer:

The elevation of the bottom of the canyon is 85 4/5 feet below sea level. To convert it to the normal number, we can convert the fractional part to decimal by dividing the numerator by the denominator. So 4/5 can be converted to 0.8. Now we can add this decimal part to the whole number.

85 + 0.8 = 85.8

So the elevation of the bottom of the canyon is -85.8 feet below sea level.

The elevation of the bird's nest is 880 1/2 feet above sea level.

So the difference in elevation between the bottom of the canyon and the bird's nest is = 880 + 0.5 - (-85.8) = 880.5 - (-85.8) = 966.3

Therefore, the difference in elevation between the bottom of the canyon and the bird's nest is 966.3 feet

So, the bird flies 966.3 feet to reach the nest.

Answer:

Step-by-step explanation:

y= 3/2 +4

Because you just get rid of the negative on the slope to make to parallel

hey! I would do this:

5a + 6 = -6a

+6a        +6a

11a + 6 = 0

     - 6    -6

11a = -6

/11     /11

a = -6/11

Answer:

5 lbs is larger

Step-by-step explanation:

5 lbs = 90 ounces

90 ounces > 75 ounces

sry i messed up the first time lol this is correct now

The values of f(0), f′(0), f′′(0), and f′′′(0) are 4, -3, 0.4, and -24 respectively.

Given information:

The function f (x) is approximated near a = 0 by the 3rd degree taylor polynomial t3(x) = 4 −3x + (x^2 / 5) − (4x^3).We are to find the values of f (0), f ′(0), f ′′(0), and f ′′′(0).

Calculations: We are given the 3rd degree Taylor polynomial as:t3(x) = 4 −3x + (x^2 / 5) − (4x^3)

To find f(x) and its derivatives, we will differentiate the polynomial to different orders.

Differentiating t3(x) w.r.t x we get: $$t_3^{(1)}(x) = -3 + \frac{2x}{5} - 12x^2$$

Differentiating t3(x) again w.r.t x, we get: $$t_3^{(2)}(x) = \frac{2}{5} - 24x$$Differentiating t3(x) once again w.r.t x, we get: $$t_3^{(3)}(x) = -24$$Now, we have found f(x) and its derivatives using the Taylor polynomial. So, we can find their respective values at x = 0.

Substituting x = 0 in t3(x), we get:$$t_3(0) = 4$$Therefore, f(0) = 4.Substituting x = 0 in t3′(x), we get:$$t_3′(0) = -3$$Therefore, f′(0) = -3.Substituting x = 0 in t3′′(x), we get:$$t_3′′(0) = \frac{2}{5}$$Therefore, f′′(0) = 0.4.Substituting x = 0 in t3′′′(x), we get:$$t_3′′′(0) = -24$$

Therefore, f′′′(0) = -24.

Answer:

Therefore, the values of f(0), f′(0), f′′(0), and f′′′(0) are 4, -3, 0.4, and -24 respectively.

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Answer:

5.6

Step-by-step explanation:

First we need to figure out how to get from 10 to 14. If we multiply 10 by 1.4, we get 14. Multiply 4 by 1.4 as well to get 5.6 for x.

The equation that is equal to 72 is 8 x 9.

1. To find the equation that is equal to 72, we need to consider different mathematical operations and numbers that can be combined to yield the desired result.

2. One way to express 72 is through multiplication. Let's try different combinations of numbers to see if any multiplication equation equals 72.

3. We can start by examining factors of 72. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

4. By testing various combinations of these factors, we can determine which one equals 72.

5. After evaluating the different combinations, we find that the equation 8 x 9 equals 72.

6. Therefore, the equation 8 x 9 is the one that is equal to 72.

It's important to note that there might be other equations or operations that can also yield a result of 72, such as addition or subtraction, but based on the given information, multiplication is the operation used to obtain the desired outcome.

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We can write tanz in terms of secz using the Pythagorean Identity as:
tanz = -sqrt(sec^2z - 1)

Part 1 of 2:
The Pythagorean Identity states that sin^2z + cos^2z = 1. We can use this identity to write tan^2z in terms of sec^2z.

First, let's rearrange the Pythagorean Identity to isolate cos^2z:
cos^2z = 1 - sin^2z

Next, we can divide both sides of the equation by cos^2z to get:
1 = sec^2z - (sin^2z)/(cos^2z)

Since tan^2z = (sin^2z)/(cos^2z), we can substitute this into the equation:
1 = sec^2z - tan^2z

Finally, we can rearrange the equation to isolate tan^2z:
tan^2z = sec^2z - 1

Now, let's consider the case when z is in Quadrant II. In this quadrant, tanz is negative and secz is negative. Therefore, we can write:
tanz = -sqrt(sec^2z - 1)

Part 2 of 2:
In the case when z is in Quadrant IV, tanz is negative and secz is positive. Therefore, we can write:
tanz = -sqrt(sec^2z - 1)

So, in both cases, we can write tanz in terms of secz using the Pythagorean Identity as:
tanz = -sqrt(sec^2z - 1)

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Sydney will spend $19.48 on fruit.

Price of strawberries = $1.68 per pound

Price of raspberries = $2.98 per pound

Sydney wants to buy 8.4 pounds of strawberries and 1.8 pounds of raspberries.

Therefore,

Price of 8.4 pounds strawberries = 8.4*Price per pound

Price of 8.4 pounds strawberries = 8.4*1.68 = $14.112

Price of 1.8 pounds raspberries = 1.8*price per pound

Price of 1.8 pounds raspberries = 1.8*2.98 = $5.364

Total spent on fruit = Price of 8.4 pounds strawberries + Price of 1.8 pounds raspberries

Total spent on fruit = $14.112 + 5.364 = 19.48

Rounding off to nearest hundredth;

Total spent on fruit = $19.48

Therefore, Sydney will spend $19.48 on fruit.

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The terminal side of a 540 degree angle in standard position will lie on the negative x-axis.

Standard Position: If an angle's vertex is at its origin and one of its rays is on the positive x-axis, it is in the standard position. The initial side and the terminal side are the names given to the rays along the x-axis.

In standard position, a 900-degree angle will have its initial side along the positive x-axis and its terminal side rotating by 900 degrees counterclockwise.

Since each full counterclockwise revolution compares to a point of 360 degrees, we can take away 360 degrees from 900 degrees to track down the same point inside one full turn:

900 degrees - 360 degrees = 540 degrees

Thus, a 900 degree angle in standard position is equivalent to a 540 degree angle in standard position.

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The solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

The expression is given as:

one half cubed − 2 ÷ square root of 64

Rewrite the expression properly as follows:

(1/2)^3 − 2/√64

Take the square root of 64

(1/2)^3 − 2/8

Evaluate the quotient of 2 and 8

(1/2)^3 − 1/4

Take the cube of 1/2

1/8 - 1/4

Evaluate the difference

-1/8

Hence, the solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

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- 1/8

Step-by-step explanation:

hope this helps

The length, breadth and height will be 78 cm, 78cm, 78cm each.

let consider the length = l

breadth = b

height = h

we are provided that

l + b + h = 234cm .......(1)

Also we have to maximize the volume , provided length is equal to breadth

∴ eqn (1) becomes

2b + h = 234

h = 234 - 2b

also ,

volume(v) = lbh

v = b²(234 - 2b)

v = b²234 - 2b³

now to maximize the volume we take the first derivative of the volume wrt 'b' and place it equal to zero. ( lagrange method )

i.e. d( v)/db = 0

∴  468b - 6b² = 0

 6b² - 468b = 0

6b( b - 78 ) = 0

∴  b = 78 cm

now as length = breadth

l = b = 78 cm

also putting this value in eqn (1)

h = 234 - 2b

h =  78 cm

So , the dimensions will be equal and will be 78cm , 78cm, 78cm each .

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There are 5 nodes in the fourth mode of a standing wave on a string fixed at both ends, including the endpoints.

The number of nodes, including the endpoints, in the fourth mode of a standing wave on a string fixed at both ends can be determined using the formula for the number of nodes in a standing wave mode:

N = n + 1

where N is the number of nodes and n is the mode number.

For the fourth mode, the mode number n = 4. Substituting this into the formula, we get:

N = 4 + 1 = 5

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Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

-49 -49

x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

-1936 -1936

x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

Answer:

174 square inches

Step-by-step explanation:

5 times 3 is 15, multiply 15 by two. We get 30. Keep this in mind. Now, multiply 9 by 3. This is 27. Multiply 27 by two to get 54. Also keep this in mind. Now, multiply 5 by 9 to get 45. Multiply 45 by 2 to get 90. Now, add all of the bold numbers together to get your answer.

30+90+54

120+54

174

Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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Answer:

15

Step-by-step explanation:

So first you need to find out how many groups of 6 cups of oatmeal there are. So for this just do 18/6=3

So now you should be able to find the amount of flour by doing 5*3=15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In order to find out how many groups of 6 cups of oatmeal there are.

So, For every 6 cups of oatmeal = 18/6=3

Now,

For 5 cups of flour = 5 x 3 = 15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

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The equipment needed for making blueberry muffins includes measuring cups, mixing bowls, a muffin tin, and a wire whisk.

To make blueberry muffins using the given recipe, Ashley would need to set out the following equipment,

Mixing bowls (at least two, one for dry ingredients and one for wet ingredients)

Measuring cups (for measuring flour, sugar, and milk)

Measuring spoons (for measuring baking powder)

Mixing spoons (to mix the ingredients)

Muffin tin (to bake the muffins)

Muffin liners (optional, to line the muffin tin)

Oven (to bake the muffins)

Whisk or electric mixer (to beat the eggs)

Oil or cooking spray (to grease the muffin tin, if not using liners)

Blueberries (to add to the batter)

With these equipment items, Ashley should be able to follow the recipe and make blueberry muffins.

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f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × 1/9

f ( - 2 ) = 5/9

If the high temperature on Friday is equal to this week's average daily high temperature, the option that could be Friday's high temperature is: C. -12°.

Using this formula to find the high temperature

High temperature= Last week average daily high temperature + ( -This week average daily high temperature)

Let plug in the formula

High temperature = 12° + (-24°)

High temperature= -12°

Therefore the correct option is C.

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The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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Answer:

it's AAAAAAAAAAAAAAAAAAA

Answer:

It's A <3

I took the test. ^^

Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

A patent is a form of intellectual property that gives an individual or organization the exclusive right to manufacture, use, and/or sell an invention for a set period of time.

The length of a patent varies by country, but generally lasts for 20 years from the date the patent is filed with the government. This period can be extended in certain cases if the patent office grants a patent term extension.

The formula for calculating the length of a patent is: Length of Patent = Initial 20 Year Period + Extension. The initial 20 year period starts from the filing date of the patent application and is the same for all countries. However, the length of the extension varies depending on the country and the circumstances of the patent. For example, some countries may offer a 5-year extension, while others may offer a 10-year extension.

The length of a patent must be carefully calculated so that the patent owner can maximize the benefits of the patent. By calculating the patent length and extension, the patent owner can ensure that they are able to take advantage of their exclusive right to the invention for the maximum amount of time possible.

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Answer:

• B. True

Step-by-step explanation:

To show that the sequence {Xn: n ≥ 0} is a discrete-time Markov chain, we need to verify the Markov property, which states that the conditional probability distribution of Xn+1 given X0, X1, ..., Xn depends only on Xn, not on earlier values of the chain.

In other words, the future evolution of the chain is conditionally independent of its past given its present state.

Let i, j, k be three integers such that 1 ≤ i, j, k ≤ n. Let P(Xn+1 = j | Xn = i) denote the probability that the particle moves from position i to position j in one step. By the construction of the model, we have:

P(Xn+1 = j | Xn = i) =

p if j ≡ i+1 (mod n)

1-p if j ≡ i-1 (mod n)

0 otherwise

The above probabilities depend only on the current position i, not on earlier positions. Therefore, the sequence {Xn: n ≥ 0} is a Markov chain.

To display its transition probability matrix, we need to compute the probability of moving from state i to state j in one step, for all i, j ∈ {1, 2, ..., n}. Let pij denote this probability. Then:

pij = P(Xn+1 = j | Xn = i) =

p if j ≡ i+1 (mod n)

1-p if j ≡ i-1 (mod n)

0 otherwise

Note that the indices i and j are taken modulo n to ensure that they are in the range {1, 2, ..., n}.

The transition probability matrix P = [pij] is an n × n matrix with the following entries:

| 0 p 0 0 ... 1-p |

| 1-p 0 p 0 ... 0 |

| 0 1-p 0 p ... 0 |

| 0 0 1-p 0 ... 0 |

| ... ... ... ... ... ... |

| p 0 0 0 ... 0 |

The diagonal entries are all 0, since the particle cannot stay in the same position in one step. The off-diagonal entries are given by the expressions for pij above. Note that each row of the matrix sums to 1, since the particle must move to one of the n possible positions in one step. Therefore, P is a valid transition probability matrix.

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Answer:

60

Step-by-step explanation:

If a school has 100 students doing extra lessons, then;

n(U) =  100

If 36 students were enrolled in mathematics and English. then;

n(MuE) = 36

If  4 students were enrolled in both subjects, then;

n(MnE) = 4

Let  n(MuE)' be those that does not do either subject

hence;

n(U ) = n(MuE) + n(MuE)'

100 = 36 + n(MuE)'

n(MuE)' = 100 - 36

n(MuE)' = 64

Since 4 students were enrolled in both, hence (64-4) i.e 60 does not do either subject.

-2/5 or -0.4

Hope this helps!