What is the volume of this prism ???

When a population is subjected to directional selection over time, the traits that are selected for will remain stable while the traits that are selected against will disappear.

Evolution is the study of how populations change over time. Most traits have multiple genes controlling their structure, function, appearance, and other characteristics. Single genes only very infrequently control a trait.

As a result, most traits have a tendency to be continuous in nature and to have a wide range of values. One side of these values will be picked against during directional selection, while the other side will be selected in favor of. Look at the illustration of a lemur's fur color below.

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the real solutions of the equation 8x^2 + 6x - 9 = 0 are x = 3/4 and x = -3/2.

To find the real solutions of the equation 8x^2 + 6x - 9 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 8

b = 6

c = -9

Plugging these values into the quadratic formula, we get:

x = (-6 ± √(6^2 - 4(8)(-9))) / (2(8))

x = (-6 ± √(36 + 288)) / 16

x = (-6 ± √324) / 16

x = (-6 ± 18) / 16

This simplifies to two possible solutions:

x₁ = (-6 + 18) / 16 = 12/16 = 3/4

x₂ = (-6 - 18) / 16 = -24/16 = -3/2

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The question is incomplete. The complete question is below.

At Fun Burger, the burger master can make burgers at the rate of 4 burgers/minute. In order to address the heavy volume of costumers he needs to continue his rate for 30 minutes. If he continues to make burgers at this pace, how many hamburgers will the Burger Master make in 30 minutes?

Answer: 120 burgers

Step-by-step explanation: Rate is a ratio of things done related to time.

The Burger Master can produce 4 burger each minute, so

1 minute = 4 burgers

Then after 30 minutes:

1 minute = 4 burgers

30 minutes = x

x = 30*4

x = 120

Therefore, after 30 minutes, the person produced 120 burgers.

The probability that at least one of the pets selected is a puppy is approximately 0.7887 or 78.87%.

To calculate the probability that at least one of the pets is a puppy, we can find the probability of the complement event (none of the pets being a puppy) and subtract it from 1.

The total number of pets in the store is 6 puppies + 9 kittens + 4 lizards + 5 snakes = 24.

The probability of selecting a pet that is not a puppy on the first selection is (24 - 6) / 24 = 18 / 24 = 3 / 4.

Similarly, on the second selection, the probability of selecting a pet that is not a puppy is (24 - 6 - 1) / (24 - 1) = 17 / 23.

For the third selection, it is (24 - 6 - 1 - 1) / (24 - 1 - 1) = 16 / 22.

For the fourth selection, it is (24 - 6 - 1 - 1 - 1) / (24 - 1 - 1 - 1) = 15 / 21.

For the fifth selection, it is (24 - 6 - 1 - 1 - 1 - 1) / (24 - 1 - 1 - 1 - 1) = 14 / 20 = 7 / 10.

To find the probability that none of the pets is a puppy, we multiply the probabilities of not selecting a puppy on each selection:

(3/4) * (17/23) * (16/22) * (15/21) * (7/10) = 20460 / 96840 = 0.2113 (approximately).

Finally, to find the probability that at least one of the pets is a puppy, we subtract the probability of the complement event from 1:

1 - 0.2113 = 0.7887 (approximately).

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Answer:

24

Step-by-step explanation:

trudt

The value of f¹(x) = x/5

What is function?

A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output, and the output can be traced back to its input.

We are given f(x) = 5x

and we are to find inverse of f(x).

Replace f(x) by y.

So,

y = 5x

Isolate x

x = y/5

Replace x by f'(y)

So,

f'(y) = y/5

Replace all occurrences of y by x.

So,

f'(x) = x/5

Therefore, the inverse of function f(x) = 5x is f'(x) = x/5

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Answer:

A. V=4 pi r^2 because it is a complete sphere

Answer:

False

Step-by-step explanation:

13+5=18

2*4=8

8-5=3

The given solution x=4 is false for 2x-5 = 13.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x−5 = 13

Now, for x=4

2(4)- 5

= 8-5

= 3

As, the LHS part of equation is not equal to RHS part.

Hence, the given x=4 is false for 2x-5 = 13

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The variable of the function f(x) = x⁵ + (x+3)². The value of f(x) is 9 when x = 0.

What is a function?

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. Originally, functions were the idealization of how a varying quantity depends on another quantity.

Given function is f(x) = x⁵ + (x+3)².

The given table is:

x      -2         -1          0         1

f(x)    -31       ?            9       17

Putting x = -2 in the function f(x) = x⁵ + (x+3)²:

f(-2) = (-2)⁵ + (-2+3)²

f(-2) = -32 + 1

f(-2) = -31

Putting x = -1 in the function f(x) = x⁵ + (x+3)²:

f(-1) = (-1)⁵ + (-1+3)²

f(-1) = -1 + 2²

f(-1) = 3

Putting x = 0 in the function f(x) = x⁵ + (x+3)²:

f(0) = (0)⁵ + (0+3)²

f(0) = 0 + 3²

f(0) = 9

Putting x = 1 in the function f(x) = x⁵ + (x+3)²:

f(1) = (1)⁵ + (1+3)²

f(1) = 1 + 4²

f(1) = 17

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Answer:

C

Step-by-step explanation:

think of a random K number (like 3 for example)

1/2(3) = 3/2

this equals k/2 = 3/2

Answer:

1.a 0.10

b 0.10

2. 1696.013

1696.0120

Step-by-step explanation:

Reflection of point across x-axis

preimage (-3, 2)         Image (-3, -2)

Reflection of point across y-axis

preimage (-3, 2)         Image (3, 2)

Reflection is one of the movements in transformation that involve creation of mirror image

Transformation rule for reflection over x-axis at origin (0, 0)) is

(x, y) → (x, -y)

Transformation rule for reflection over line y-axis at origin (0, 0)) is

(x, y) → (-x, y)

The reflection to be done is (-3, 2)

Transformation for reflection over x-axis → (-3, -2)

Transformation for reflection over line y-axis  → (3, 2)

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Answer:

Benjamins cost this month would be $27.

The monthly cost for x slices of pizza would be x+20

Step-by-step explanation:

Based on simulation, the estimated probability that the profit per unit will be less than $4 is 31.6%.

To estimate the probability, we can simulate the profit per unit using a random number generator with a normal distribution based on the given mean and standard deviation. We can then count the number of times the simulated profit per unit is less than $4 and divide by the total number of simulations to get the estimated probability. By repeating the simulation multiple times and taking the average, we can increase the accuracy of the estimate. In this case, the simulation result suggests that there is a significant chance that the project may not be sustainable if the profit per unit is less than $4.

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Answer:

4.18 × 10^ 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am assuming that number began with a decimal point.

Count how many places the decimal must move to the right to get past the 4, in this case the decimal must move 5 places. This means you are multiplying by 10^5. So the number in scientific notation becomes

4.18X10^(-5)

Check the picture below.

Make sure your calculator is in Degree mode.

If you know 63 people have swim suits on and 43 have sunglasses, 32 people have swim suits on but not sunglasses.

To find out how many people have swim suits on but not sunglasses, we can use the principle of inclusion-exclusion.

We know that there are 75 people in the park, and 63 of them have swim suits on. We also know that 43 people have sunglasses. However, some people have both swim suits and sunglasses. Let's denote the number of people who have both by x. Then we can use the formula:

total = swim suits + sunglasses - both

Substituting in the given values, we get:

75 = 63 + 43 - x

Simplifying, we get:

x = 31

Therefore, 31 people have both swim suits and sunglasses, and the number of people who have swim suits on but not sunglasses is:

63 - 31 = 32

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Answer:

-3,8

Step-by-step explanation:

Answer:

C. 9 minutes 30 seconds

Step-by-step explanation:

well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer

Have a good day! :)

Answer:

18+6=24

Therefore, hiker is 24 miles far away from the camp

Answer:

The airspeed is 201.17 mph and bearing is  and this can be determined by using the vector form of velocity

Plane to fly 700 miles due north in 3.5 hours if the wind is blowing from a direction of 338 degrees at 10 ​mph

The frequencies of the first three allowed modes of vibration are 4.14 Hz, 8.29 Hz, and 12.43 Hz, respectively.

The given problem can be solved using the formula given below; f_n = (n*v)/(2L), where; f_n - frequency v - velocity of the wave L - length of the wire, n - mode number.

Part a: Given; Length of the wire, L = 1.75 m, Mass of the wire, m = 0.100 kg. Tension in the wire, T = 21.0 N`.

To find the frequency of the wire for the first three allowed modes of vibration, we need to calculate the velocity of the wave, v.

We can use the following formula to calculate the velocity of the wave; v = √(T/m), where; T - tension in the wire, m - mass of the wire.

Substituting the given values, v = √(21.0 N / 0.100 kg) = √(210) = 14.5 m/s.

The frequencies of the first three allowed modes of vibration can be found by substituting the values in the given formula.

For n = 1, `f_1 = (1*14.5)/(2*1.75) = 4.14 Hz.

For n = 2,`f_2 = (2*14.5)/(2*1.75) = 8.29 Hz

For n = 3,`f_3 = (3*14.5)/(2*1.75) = 12.43 Hz.

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Answer:

2160 - t

Step-by-step explanation:

1800(1.2)–t

2160 - t

Melanie can spend on the items for each bag is  $5.05.

Your example is an equation since an equation is any expression with an equals sign. Due of mathematicians' love of equal signs, equations are commonly used in mathematical expressions. A formula is a collection of guidelines for producing a specific outcome.

Let cost of items for 4 bags be represented by x

Cost of 1 bag=$ 5

Cost of 10 bags=$ (4×5)   = $ 20    

Total cost of 10 bags with items in them=$(20+x)

discount : 20%

i.e. 0.20 + 20 +x

x + 20.2

Most  Melanie can spend for items in 4 bags=$20.2

Most  Melanie can spend for items in 1 bag=$(20.2/4)=$5.05

Hence, most Melanie can spend on the items for each bag is: $5.05.

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Answer:

3(x^3 + 5x)^2 - 4   (please mark brainliest)

Step-by-step explanation:

plug g equation into x values of f equation

f equation = 3(x)^2 - 4

                        ^g goes here

So....

3(x^3 + 5x)^2 - 4

       ^ g goes here

Composite function is a function in another function. The composite function f(g)(x) is equivalent to  3(x³ + 5x)² -4

Composite function is a function in another function

Given the following functions

f(x)=3x^2-4

g(x)=x^3+5x

f(g(x)) = f(x³ + 5x)

Substitute x³ + 5x into the function f(x)

f(x³ + 5x) = 3(x³ + 5x)² -4

Hence the composite function f(g)(x) is equivalent to  3(x³ + 5x)² -4

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All the expressions (a, b, c, d) correctly compute the area of a triangle.

None of the expressions listed fail to compute the area of a triangle correctly. All the given expressions correctly calculate the area of a triangle using the formula: Area = (1/2) * base * height. Therefore, there is no expression among a, b, c, or d that fails to compute the area of a triangle.

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the answer to ur question is false

Answer:

--1-- (of set 23456)

2   4

5 3

 6

--2-- (of set 23456)

2   3

5 4

 6

--3-- (of set 23456)

2   5

6 3

 4

--4-- (of set 23456)

2   3

6 5

 4

--5-- (of set 23456)

3   5

4 2

 6

--6-- (of set 23456)

3   2

4 5

 6

--7-- (of set 23456)

3   6

5 2

 4

--8-- (of set 23456)

3   2

5 6

 4

--9-- (of set 23456)

3   5

6 4

 2

--10-- (of set 23456)

3   4

6 5

 2

--11-- (of set 23456)

4   5

3 2

 6

--12-- (of set 23456)

4   2

3 5

 6

--13-- (of set 23456)

4   6

5 3

 2

--14-- (of set 23456)

4   3

5 6

 2

--15-- (of set 23456)

5   4

2 3

 6

--16-- (of set 23456)

5   3

2 4

 6

--17-- (of set 23456)

5   6

3 2

 4

--18-- (of set 23456)

5   2

3 6

 4

--19-- (of set 23456)

5   6

4 3

 2

--20-- (of set 23456)

5   3

4 6

 2

--21-- (of set 23456)

6   5

2 3

 4

--22-- (of set 23456)

6   3

2 5

 4

--23-- (of set 23456)

6   5

3 4

 2

--24-- (of set 23456)

6   4

3 5

 2

--1-- (of set 34567)

3   5

6 4

 7

--2-- (of set 34567)

3   4

6 5

 7

--3-- (of set 34567)

3   6

7 4

 5

--4-- (of set 34567)

3   4

7 6

 5

--5-- (of set 34567)

4   6

5 3

 7

--6-- (of set 34567)

4   3

5 6

 7

--7-- (of set 34567)

4   7

6 3

 5

--8-- (of set 34567)

4   3

6 7

 5

--9-- (of set 34567)

4   6

7 5

 3

--10-- (of set 34567)

4   5

7 6

 3

--11-- (of set 34567)

5   6

4 3

 7

--12-- (of set 34567)

5   3

4 6

 7

--13-- (of set 34567)

5   7

6 4

 3

--14-- (of set 34567)

5   4

6 7

 3

--15-- (of set 34567)

6   5

3 4

 7

--16-- (of set 34567)

6   4

3 5

 7

--17-- (of set 34567)

6   7

4 3

 5

--18-- (of set 34567)

6   3

4 7

 5

--19-- (of set 34567)

6   7

5 4

 3

--20-- (of set 34567)

6   4

5 7

 3

--21-- (of set 34567)

7   6

3 4

 5

--22-- (of set 34567)

7   4

3 6

 5

--23-- (of set 34567)

7   6

4 5

 3

--24-- (of set 34567)

7   5

4 6

 3

Step-by-step explanation:

This javascript code is extremely brute-force, but it does the job:

function checkIfInSet(i, set) {

   return i.toString().split('').sort().join('') === set;

}

function checkIfMagic(s) {

   return (parseInt(s[0]) + parseInt(s[1]) == parseInt(s[3]) + parseInt(s[4]))

}

function printMagic(s) {

   console.log(`${s[0]}   ${s[4]}`);

   console.log(` ${s[1]} ${s[3]}`);

   console.log(`  ${s[2]}\n`);

}

function checkSet(set) {

   let counter = 1;

   for(let i=1; i<99999; i++) {

       if (checkIfInSet(i, set) && checkIfMagic(i.toString())) {

           console.log(`--${counter++}-- (of set ${set})`);

           printMagic(i.toString());

       }

   }

}

checkSet('23456');

checkSet('34567');