Can anyone help me with this question please I really need help please I’ll mark as brainliest

Answer:

F(x) < 6

Step-by-step explanation:

\(\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}\)

This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6

Answer:

\(8 \div 4(3 - 1)\)

let's follow BODMAS for solving this expression ~

the BODMAS rule states the order for solving a given question and the order lies in its full form which is as follows ~

B - brackets

O - of

D - division

M - multiplication

A - addition

S - subtraction

using the order , let's move to the expression given now ~

\(\dashrightarrow \: 8 \div 4(3 - 1) \\ \\ as \: the \: rule \: states \: , \: we \: will \: solve \: the \: brackets \: first \\ \\\dashrightarrow 8 \div 4(2) \\ \\ brackets \: again \\ \\ \dashrightarrow \: 8 \div 8 \\ \\ and \: finally \: divison \\ \\ \dashrightarrow \: 1\)

hope helpful :D

The value of expression 8 divided by 4 (3-1) would be equal to 1

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 8 divided by 4 (3-1)

A negative divided by a negative is positive, therefore,

8 / 4 (3-1)

8 / 4(2)

8/8 = 1

Therefore, The value of 8 divided by 4 (3-1) is; 1

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We have the formula : n = (an - a1) / d + 1Sn = n / 2 (a1 + an)s = Sn - Sp where Sp is the sum of the first p terms of the sequence. In conclusion, finding the partial sum s, of the arithmetic sequence that satisfies the given conditions involves finding the first term, the common difference, and the number of terms in the sequence.

An arithmetic sequence is a sequence where every term has the same common difference, d. For instance, 2, 4, 6, 8, 10 is an arithmetic sequence with a common difference of 2. Each term in the sequence is found by adding the common difference to the previous term. The formula for the nth term, an, of an arithmetic sequence is given by: an = a1 + (n – 1)d .

Where a1 is the first term in the sequence and d is the common difference. Given an arithmetic sequence, we can find the sum of the first n terms using the formula: Sn = (n/2)(a1 + an)where Sn is the sum of the first n terms, a1 is the first term in the sequence, and an is the nth term in the sequence.

To find the partial sum, we need to know the first term, the common difference, and the number of terms in the sequence. We can then use the formula above to find the sum of the first n terms of the sequence. If we know the nth term of the sequence instead of the number of terms, we can use the formula for the nth term to find the number of terms, and then use the formula above to find the sum of the first n terms.

Thus, we have the formula : n = (an - a1) / d + 1Sn = n / 2 (a1 + an)s = Sn - Sp where Sp is the sum of the first p terms of the sequence. In conclusion, finding the partial sum s, of the arithmetic sequence that satisfies the given conditions involves finding the first term, the common difference, and the number of terms in the sequence.

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Answer:

(x^2 + 5x + 4) : 2

Step-by-step explanation:

The length and width of the rectangular garden is estimated as-

A rectangle's perimeter is the total length and distance of its border across all sides. The perimeter of a rectangular box is a linear measurement that is expressed in meters, feet, cm, or yards. Let us first examine the two primary characteristics of a rectangle.

The perimeter of the rectangle is given as-

Perimeter = 2(length + width)

perimeter= 256

Let the width of the rectangle be x.

Length is 8 feet longer than width, Thus,

length = x+8

Substitute the values in the formula of perimeter;

256 = 2( x+ 8+ x)

256 = 2( 2x + 8)

128= 2x + 8

120= 2x

x=60

Thus, width = 60 ft.

Length = 60 + 8 = 68 ft.

Therefore, the length and width of the rectangular garden is estimated.

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The complete question is -

A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8feet longer than it is wide. Find the length and width of the garden.

We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

\(r = \sqrt{169} = 13\)

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows N can be calculated as :-

\( {N}^{2} = 1024\)

\(N = \sqrt{1024} \)

\(N = 32\)

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

-------------------★-------------------

Answer:

nineteen

Step-by-step explanation:

ty for the points luv

The differentials of the given functions are:

dy/dt = (1/2)√(3t) sec^2(√(3t)) dt

dy/dv = -v/2 + v

To find the differential of the function y = tan(sqrt(3t)), we can use the chain rule. Let u = sqrt(3t). Applying the chain rule, we have dy/dt = dy/du * du/dt.

First, we find dy/du by taking the derivative of tan(u), which is sec^2(u). Then, we find du/dt by taking the derivative of sqrt(3t), which is (1/2)√(3t). Multiplying these two derivatives together, we get dy/dt = (1/2)√(3t) sec^2(√(3t)) dt.

To find the differential of the function y = 4 - v^2/4 + v^2, we need to take the derivative with respect to v. The first term, 4, does not depend on v, so its derivative is 0.

For the second term, -(v^2/4), we use the power rule for differentiation. The derivative of v^2 is 2v, and dividing by 4 gives -(v/2).

For the third term, v^2, the derivative is 2v.

Combining these derivatives, we get dy/dv = -v/2 + v.

The differentials of the given functions have been calculated as dy/dt = (1/2)√(3t) sec^2(√(3t)) dt and dy/dv = -v/2 + v. These differentials represent the rate of change of the functions with respect to the respective variables.

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The differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))). The differential of y = 4 - v^2/4 + v^2 is dy/dv = 3v/2.

To find the differential of each function, we will differentiate them with respect to the independent variable.

Let's use the chain rule to differentiate this function.

Therefore, the differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))).

Let's differentiate this function using the power rule and the sum/difference rule for derivatives.

Therefore, the differential of y = 4 - v^2/4 + v^2 is dy/dv = 0 - v/2 + 2v = 3v/2.

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Step-by-step explanation:

64 = 2⁶

so,

log2(64) = 6

therefore,

4x = 6

x = 6/4 = 3/2 = 1.5

t^-1 is the inverse of t.

To find the inverse of the given isomorphism t, we need to find a function t^-1 : r2 → p1 such that t(t^-1(x,y)) = (x,y) for all (x,y) in r2.

Let (x,y) be an arbitrary element of r2. We want to find (a,b) in p1 such that t(a,b) = (x,y). Using the definition of t, we have:

t(a,b) = (8b, a-b)

Setting this equal to (x,y), we get the system of equations:

8b = x
a - b = y

Solving for a and b in terms of x and y, we get:

a = y + x/8
b = x/8

Thus, we have found a function t^-1 : r2 → p1 given by:

t^-1(x,y) = (y + x/8, x/8)

We can check that this function is indeed the inverse of t:

t(t^-1(x,y)) = t(y + x/8, x/8) = (8(x/8), y + x/8 - x/8) = (x,y)

Therefore, t^-1 is the inverse of t.

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The difference between is 7-4 = 3

What are volume and area?

The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.

The volume formula is what.

The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

Given that :

Cube 1 has volume = 343 cubic feet

Volume = \(a^{3}\)

\(a^{3}\) = 343

a = 7

Cube 2 has volume = 64 cubic feet

Volume = \(a^{3}\)

\(a^{3}\) = 64

a = 4

Hence the difference between is 7-4 = 3

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For the integration of function ∫(1 to ∞) f(t)dt = 20n/√(4n² + 21) - 4, the value is obtained as Option A: 6.

What is Integration?

The summing of discrete data is indicated by the integration. To determine the functions that will characterise the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

To find ∫(1 to ∞) f(t)dt, we can use the limit definition of the definite integral:

∫(1 to ∞) f(t)dt = lim(n→∞) ∫(1 to n) f(t)dt

Using the given formula for the indefinite integral, we can evaluate the definite integral -

∫(1 to n) f(t)dt = 20n/√(4n² + 21) - 4 - [20/√25]

= 20n/√(4n² + 21) - 4/5

Taking the limit as n approaches infinity -

lim(n→∞) ∫(1 to n) f(t)dt = lim(n→∞) [20n/√(4n² + 21) - 4/5]

Since the denominator of the fraction inside the limit approaches infinity much faster than the numerator, we can use the limit of the numerator only -

lim(n→∞) [20n/√(4n² + 21)] = lim(n→∞) [20n/(2n√(1 + 21/4n²))]

= lim(n→∞) [10/√(1 + 21/4n²)]

= 10/√1 = 10

Therefore, ∫(1 to ∞) f(t)dt is equal to 10, so the answer is (A) 6.

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The required number of two positive consecutive integers are 35 and 36.

Consecutive integers are the whole numbers that follow each other without gaps. consecutive  integers are even, and odd integers.

consecutive even integers that differ from previous integer by difference of 2 and each integer is divisible by 2.

consecutive odd integers that differ from previous integer by difference of 2 and each integer is an odd number.

let the first positive integer be x

Therefore the second positive integer be (x+1)

Given that the sum of two consecutive positive integer is 71:

x+(x+1)=71

open the bracket

x+x+1=71

Add the similar terms

2x+1=71

2x=71-1

2x=70

x=35

Finding the second integer Substituate the value of x=35 in (x+1):

x+1=35+1

x+1=36

The required number of two positive consecutive integers are 35 and 36.

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Answer:

12 in.

Step-by-step explanation:

2x + x + 3/2x + 1/2x = 40 in. = 5x

x = 8 in.

3(8)/2 = 12

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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Answer: Yes, it is a solution

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

Explanation:

Any ordered pair, aka point, is of the form (x,y)

x is always listed first

The point (0,-2) means x = 0 and y = -2 pair up together

Let's plug them into the equation and simplify everything

x-2y = 4

0-2(-2) = 4

0+4 = 4

4 = 4

We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)

(0,-2) is a solution to the given equation

Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.

The chance that the coin will come up Heads at least once when flipped x times is 1 - (1/2)^x.

To explain this, let's consider the probability of getting Tails on a single coin flip, which is 1/2 since there are two equally likely outcomes (Heads or Tails).

To find the probability of getting Tails on all x coin flips, we multiply the probabilities together: (1/2)^x.

Since the chance of getting at least one Heads is the complement of getting all Tails, we subtract the probability of getting all Tails from 1: 1 - (1/2)^x.

This formula holds because each coin flip is an independent event with a 1/2 chance of resulting in Heads. Therefore, the probability of getting at least one Heads in x coin flips is given by 1 - (1/2)^x. This formula applies to situations where the coin is fair and unbiased.

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Hi Student!

The first step to solving our question is to understand the problem statement and to extract important information that will be useful.  We are told that the local candy shops sells Jelly Beans for $2 a pound and Chocolate Melts for $3 a pound.  We are also told that Kelsi has no more than $12 to spend.  Finally, we are told that the purpose of this question is to write an inequality to capture the scenario.

We know that we have two variables, the variable x for jelly beans and the variable y for chocolate melts.  Creating an inequality we need to capture the total of these two should be no more than $12.  This means that it isn't just less than $12 but that it can also include $12; therefore, we use a less-than-equal sign.

Create an expression

This inequality captures the goal of our expression which is to see how two items combined should be less than the total price that we want to spend.  Let's create a new inequality with updated numbers with our information.

Plug in values

Simplify to just numbers

After plugging in the values, we have a lot of unnecessary information such as the dollars signs or words so we can remove that and just have the numbers to show that is going on.

Therefore, our final answer is that the inequality that best represents this scenario is \(2 x + 3y\leq 12\)

Answer:

See below.

Step-by-step explanation:

top left

9 × 9 = 81

9/81 = 1/9

top right

9 × 9 = 81

36/81 = 4/9

bottom left

6/72 = 1/12

bottom right

12/72 = 1/6

Answer:

look at picture :) !

Step-by-step explanation:

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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Answer:

5a. 8:21

6a. 26:1

Answer:45 ish

Step-by-step explanation:

Number line that number of workers in San diego is  260, 290, 320, 350, 380, 410, 440, 470, 500. The correct answer is 260

To find the number of workers in San Diego, we need to subtract the number of workers in New York (90) and Denver (130) from the total number of workers (480). Subtracting 90 and 130 from 480, we get 260. This means that 260 workers are in San Diego.

The number line represents the possible number of workers in San Diego. Since there are only three cities, the number of workers in San Diego must be positive (as there are workers in that city). Therefore, we can eliminate numbers less than 0. Additionally, the number of workers in San Diego cannot exceed the total number of workers (480). Thus, we can eliminate numbers greater than 480.

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Answer:

The second one or B- "He did not find the prime factors of 4."

Step-by-step explanation:

I got it right on Edge2020

Answer:

B

Step-by-step explanation:

25% of 40 is 10 hoped that helped

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8