Which is the correct formula for the function?

Answer:

50

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

5 x 5=25

6 x 6=36     That is the next perfect square

It took longer than a half-hour time but less than an hour because 5/12<1/2, so 5/12 + 1/2 < 1. So correct option is D.

Mathematical relationships and operations that are represented by symbols and letters are the subject of the discipline of mathematics known as algebra. It entails representing unknowable quantities with letters, symbols, and numbers while also manipulating these symbols to solve mathematical puzzles.

In algebra, we explain relationships between variables using equations and inequalities. Letters are commonly used to denote variables, and equations show how the variables relate to one another. Addition, subtraction, multiplication, and division are the four fundamental algebraic operations that humans utilise to manipulate equations and find solutions to issues.

Numerous disciplines, including science, engineering, economics, and finance, use algebra. It is an effective technique for tackling challenging issues and is necessary in many advanced areas of mathematics.

The amount of time Nolan spent reading and tending to his garden is equal to the sum of his reading time (5/12 hour) and his gardening time (1/2 hour). As a result, we must determine the product 5/12 plus 1/2:

5/12 + 1/2 = (5/12) x (2/2) + (1/2) x (6/6) = 10/24 + 12/24 = 22/24

When we simplify the ratio 22/24, we obtain:

22/24 = 11/12

As a result, Nolan spent 11/12 hours reading and tending to his garden, which is more than 1/2 hour but less than 1 hour.

So, D is the right response. It took longer than a half-hour but less than an hour because 5/12<1/2, so 5/12 + 1/2 < 1.

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The complete question is,

Answer:

The slope = 2

Step-by-step explanation:

Slope is rise over run.

The line rises 2 units up for every 1 unit it moves right.

Thus, the slope would be 2/1, which is the same as 2.

This problem involves the binomial distribution, which models the number of successes in a fixed number of independent Bernoulli trials, where the probability of success is constant.

Let X be the number of independent voters in a sample of 20 voters.

X follows a binomial distribution with parameters n=20 and p=0.09.

a. The probability that none of the people are independent is P(X=0), which can be computed as:

P(X=0) = (20 choose 0) * (0.09)⁰ * (1-0.09)⁽²⁰⁻⁰⁾ = 0.299

So the probability that none of the people are independent is 0.299, or about 30%.

b. The probability that fewer than five people are independent is P(X5), which can be computed as:

P(X5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)

Using the binomial probability formula, we can compute each term as:

P(X=k) = (20 choose k) * (0.09)ᵏ * (1-0.09)⁽²⁰⁻ᵏ⁾

Plugging in the values of k, we get:

P(X=0) = 0.299P(X=1) = 0.377

P(X=2) = 0.244P(X=3) = 0.083

P(X=4) = 0.017

So the probability that fewer than five people are independent is:

P(X5) = 0.299 + 0.377 + 0.244 + 0.083 + 0.017 = 0.02

So the probability that fewer than five people are independent is 0.02, or about 2%.

c. The probability that more than two people are independent is P(X2), which can be computed as:

P(X2) = 1 - P(X=2) = 1 - (P(X=0) + P(X=1) + P(X=2))

Using the binomial probability formula, we can compute each term as in part b, and then sum them up to get:

P(X2) = 1 - (0.299 + 0.377 + 0.244) = 0.08

So the probability that more than two people are independent is 0.08, or about 8%.

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Answer:

9.7 * 10 cubed

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - an integer

2x - an even integer (the first)

Even integers increase by 1 so:

2x+2   - next consecutive integer (the second)

3(2x+2) - three times the second

2x+4  - the third consecutive integer

2x+2x+4 -  the sum of the first and third

2x+2x+4+18 -  the sum of the first and third increased by 18

2x+2x+4+18 = 3(2x+2)  

4x + 22 = 6x + 6

      -6        -6

4x + 16  = 6x

     -4x      -4x

       16 = 2x

2x = 16

2x+2 = 18  

2x+4 = 20

Check:  16+20+18=54;   3×18=54

Answer:

SEE BELOW FOR ANSWER +EXPLANATION

Step-by-step explanation:

FIRST THE WORD PROBLEMS TELLS US JAMES THEN ELAINE

SO JAEMS RECIEVE 2 AND ELAINE RECEIVES 3

THERE YOU GO

PLEASE MARK BRANLIEST FOR MORE ANSWERS TYSM GOD BLESS

Answer:its A, message if I'm wrong.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

One fewer sector of the Skinner-class spinner will represent bringing lunch from home.

Answer:

114$

Step-by-step explanation:

The description of the transformation of z on the complex plane that gives the product of and is to scale by a factor of 4, then rotate counterclockwise by /6 radians.

To understand this transformation, let's break it down into its components. Scaling by a factor of 4 means multiplying by 4. This scales the magnitude of by a factor of 4 but does not change its direction. Next, rotating counterclockwise by /6 radians means rotating around the origin by an angle of /6 in the counterclockwise direction. By performing these two transformations in succession, we first scale by a factor of 4, which stretches or compresses it depending on whether it is inside or outside the unit circle, respectively. Then, we rotate counterclockwise by /6 radians, which changes its angle in the counterclockwise direction by /6 radians.

The resulting transformation gives the product of and because scaling and rotation are commutative operations when applied to complex numbers. The order in which the transformations are performed does not affect the result. Therefore, scaling by a factor of 4, then rotating it counterclockwise by /6 radians, will yield the same result as scaling by a factor of 4, then rotating it counterclockwise by /6 radians.

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Answer: Format of equation of vertical line: x = (x-coord of passing point.).

ANS : D.

Answer:

11 hours

Step-by-step explanation:

$386.25 - (35 x $7.50) = $123.75 <--- overtime

$7.50 x 1.5 = $11.25

$123.75 / $11.25 = 11 hours overtime

To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

Answer:

estimating your answer doesn't always have to be right it's just a simple guess

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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Answer:

x=

2

3

​

=1.500

Step-by-step explanation:

(((7•(x-2))-3x)+5)-((0-2•(5x-4))+4)  = 0

STEP

2

:

Equation at the end of step 2

 ((7 • (x - 2) -  3x) +  5) -  (12 - 10x)  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  14x - 21  =   7 • (2x - 3)

Equation at the end of step

4

:

 7 • (2x - 3)  = 0

STEP

5

:

Equations which are never true

5.1      Solve :    7   =  0

This equation has no solution.

A  non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    2x-3 = 0

Add  3  to both sides of the equation :

                     2x = 3

Divide both sides of the equation by 2:

                    x = 3/2 = 1.500

One solution was found :

x = 3/2 = 1.500

Answer:

x = 1.5

Step-by-step explanation:

Step 1: you distribute what is on the outside of the parenthesis to EVERYTHING on the inside of the equation which will leave you with

7x-14-3x+5=-10x+8+4

Step 2: Combine your like terms. You have to add all the X's on the left side first, then your whole numbers. After that, you go to the right side and do the same thing. This should leave you with    4x-9=-10x+12

Step 3: get x to one side of the equation. You do the opposite of what the x is on the right. So you would add 10x on both sides. This should leave you with 14x-9=12

Step 4: You do the opposite of the whole number on the left to both sides/ add 9 to both sides. This should leave you with 14x=21

Step 5: you now divide both sides by 14 because 14x is a multiplication problem, and you need to do the opposite. So you should finally get

X=1.5

Answer:

73084

Step-by-step explanation:

60.5*16*75.5

968*75.5

73084

Answer:

$2.50 + $1.20x \(\leq\) $20

Step-by-step explanation:

Monica needs to buy a gallon of milk ($2.50), but she also wants to buy yogurt which is $1.20 each. However, her total cost has to be under $20, and she doesn't know how much yogurt she can get. So the number of cups of yogurt is unknown, so it is represented by the variable x. Now, the milk and the unknown number of cups of yogurt must be less than or equal to $20.

Answer:

14 cupssssssssss

Step-by-step explanation:

Martha's claim that the 25% of the learners are girls, is correct.

In this question,

There are 900 boys and 300 girls at Eqinisweni secondary school.

Martha claims that 25% of the learners are girls.

We need to verify her claim by means of calculations.

Based on the given conditions, we formulate:

300 / (900 + 300)

We simplify above expression.

= 300 / 1200

= 1/4               ..................(Cross out the common factor)

Now multiply a number 25 to both the numerator and the denominator:

= (1 × 25)/(4 × 25)

= 25/200

Now we rewrite a fraction with denominator equals 100 to a percentage: 25%

This means, Martha's claim that the 25% of the learners are girls, is correct.

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The correct simplification would be \(18x^4 - 36x^3 + 9x^2\) (option a).

To simplify the expression \(9x^2(4x - 2x^2\) - 1), we need to perform the multiplication and combine like terms.

1. Start by distributing the 9x^2 to each term inside the parentheses:

  \(9x^2 * 4x = 36x^3 9x^2 * (-2x^2) = -18x^4 9x^2 * (-1) = -9x^2\)

2. Now we can combine the terms obtained from the distribution:

\(36x^3 - 18x^4 - 9x^2\)

3. Rearranging the terms in descending order of exponents:

\(-18x^4 + 36x^3 - 9x^2\)

4. However, we can simplify this expression further by factoring out a common factor of \(-9x^2\):

\(-9x^2(2x^2 - 4x + 1)\)

5. Thus, the final simplified expression is:

\(18x^4 - 36x^3 + 9x^2\)

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Answer:

number of protons

Step-by-step explanation:

The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.

Answer:

£0.80

Step-by-step explanation:

1 box of eggs: £2.40

2 packs of bacon: 2 * £2.60

2 tins of baked beans: 2x

Change: 80p

Total = 2x + £2.40 + £5.20 + £0.80

Total = 2x + £8.40

2x + £8.40 = £10

2x = £1.60

x = £0.80

Answer: £0.80

Answer:

1  1/3

Step-by-step explanation:

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

8/6= 1.3333333333333 = 1

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (6). The result of that multiplication is then subtracted from the original numerator:

8 - (6 x 1) = 2

Step 3: Our mixed fraction

We've now simplified 8/6 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

1  2/6

Step 4: Simplifying our fraction

In this case, our fraction (2/6) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 2 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

2/2 = 1

6/2 = 3

When we put that together, we can see that our complete answer is,

1  1/3

Answer:

130 N/cm2

Step-by-step explanation:

7.8 cm2 -> 50N/cm2

3 cm2 -> x N/cm2

x = (50×7.8) / 3

x = 130N/cm2

Answer:

Step-by-step explanation:

There are infinity equivalent fractions to 812. See some examples: 23, 46, 69, 812, 1015, 1218, 1421, 1624, 1827, 2030, 2233, 2436, 2639, 2842, 3045, 3248, 3451, 3654, 3857, 4060...

Answer:

The answer is 28.

Step-by-step explanation:

Ok.

☆7x and 3x + 16 are congruent, meaning they equal the same.

☆Since they are equal, we can make an equation out of then.

7x = 3x + 16

☆Then we just solve.

\( \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4\)

☆Therefore, x equals 4.

☆We are solving for m<KJL so all we need to do is plug in.

\(7x \\ 7(4) \\ 28\)

☆You answer is 28.

The required angle is 28°

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.

Given here ∠KJL=7x and ∠LJM=3x+16

now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras  theorem JL²=KL²+JK² & JL²=JM²+LM²

Thus   KL²+JK² = JM²+LM²

⇒        JK=JM

Thus by the SSS criterion, we can conclude that the triangles are congruent.

therefore by CPCT 7x=3x+16

                                4x=16

                                 x=4

so the required angle is 7×4 =28°

Hence, ∠KJL=28°

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Answer:

x = -8

Step-by-step explanation:

\(7(x + 3) + 9 = 5(x - 2) - 3x\\\\\mathrm{Expand\:}7\left(x+3\right)+9:\quad 7x+30\\\\\mathrm{Expand\:}5\left(x-2\right)-3x:\quad 2x-10\\7x+30=2x-10\\\\\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}\\7x+30-30=2x-10-30\\\\Simplify\\7x=2x-40\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\7x-2x=2x-40-2x\\\\Simplify\\5x =-40\\\\Divide both sides by 5\\\frac{5x}{5}=\frac{-40}{5}\\\\Simplify\\x = -8\)

The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.

To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38

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