Solve the problem and then click on the correct graph.
y≥ lx+1l

Answer:

$3.75

Step-by-step explanation:

The board is 7 and a half feet long. It costs 0.5 per foot.

Therefore we can just multiply the two to find the total cost:

0.5 x 7.5 = $3.75

Hope this helped!

a) The standard factored form of 6174 is 2³ × 3² × 7.

b) The standard factored form of 693 is 3² × 7 × 11 .

c) The standard factored form of 1575 is 3² × 5² × 7.

The unique factorization theorem is a fundamental theorem in number theory that states that every positive integer greater than 1 can be expressed as a unique product of prime numbers. This means that there is only one way to factorize a number into a product of prime factors, up to the order of the factors.

The unique factorization theorem has important implications in many areas of mathematics, including algebra, geometry, and cryptography. It is a key tool for solving problems involving divisibility, greatest common divisors, and modular arithmetic.

The theorem also plays a central role in the construction of many important mathematical objects, such as the rational numbers, algebraic number fields, and polynomial rings. The unique factorization theorem is a cornerstone of number theory and provides a foundation for many other mathematical concepts and results.

We can use this theorem to write the given integers in standard factored form as follows:

(a) 6,174 = 2 × 3 × 1,029 = 2 × 3 × 3 × 343 = 2 × 3 × 3 × 7 × 49 = 2 × 3 × 3 × 7 × 7 × 2 = 2³ × 3² × 7

(b) 693 = 3 × 231 = 3 × 3 × 77 = 3 × 3 × 7 × 11 = 3² × 7 × 11

(c) 1,575 = 3 × 525 = 3 × 3 × 175 = 3 × 3 × 5 × 35 = 3 × 3 × 5 × 5 × 7 = 3² × 5² × 7

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Answer:

I need to see problem

Step-by-step explanation:

i also do like points

Answer:

x=21

Step-by-step explanation:

x=(16.8 * 2.5) /2=21

The correct choice is option A, "All real numbers greater than or equal to 0," as it encompasses the appropriate range of values for the time variable in the given context.

In the given context, the function \(A(t) = 50(2)^t\)represents the number of bacteria in the culture after t hours, where the population doubles every 60 minutes.

To determine the appropriate domain for the function A(t), we need to consider the practical limitations and restrictions of the problem.

Since time is measured in hours and the function represents the population at any given hour, it is reasonable to assume that t must be a non-negative real number.

We cannot have negative time or fractional hours in this scenario, as it wouldn't make sense to evaluate the population of bacteria at those points.

Option A, "All real numbers greater than or equal to 0," is the appropriate domain for the function A(t) in terms of the given context.

It allows us to consider all non-negative real values for t, meaning we can evaluate the function for any non-negative amount of time in hours.

Options B and C, "All integers greater than or equal to 50" and "All integers greater than or equal to 0," respectively, are not suitable domains because they restrict the values of t to integers only, while time can be measured in fractional hours or non-integer values.

Option D, "All real numbers greater than or equal to 50," is not an appropriate domain either, as it excludes values of t less than 50, which contradicts the fact that we can evaluate the function for any non-negative amount of time.

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A recursive formula for a sequence expresses the \(n\)-th term as a function of the previous one(s).

In this case, you can see that every term is 6 more than the previous one.

So, the recursive formula is "the \(n\)-th term is 6 more than the \(n-1\)-th term".

In formula, it's written

\(a_n=a_{n-1}+6\)

Since the recursion could go back indefinitely, we usually set a starting point, so that the sequence is fully determined:

\(\begin{cases}a_0=20\\a_n=a_{n-1}+6\end{cases}\)

The  Recursive formula is \(a_n\) =  6n - 14

Any term of a series can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic series has the recursive formula a = \(a_n\)-1 + d. \(a_n\)= \(a_{n-1]\) r is the recursive formula for a geometric sequence.

Given:

20,26,32,38

First term, a= 20

Common difference,  d= 26 -20 = 6

So, The recursive formula is

\(a_n\) = a+ ( n-1)d

\(a_n\) = 20 + ( n-1) 6

\(a_n\) = 20 + 6n - 6

\(a_n\) =  6n - 14

Hence, the Recursive formula is \(a_n\) =  6n - 14

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Answer:

collect like terms

Step-by-step explanation:

collect all the x numbers and the power of 3 numbers to simplify

Part of a financial advisor's job is to allocate money in the best available asset or security (eg: stocks and bonds). So they look at market data and use mathematical models to help judge on where to put money. Their goal is to so called "beat the market", meaning they want to earn the best return compared to other players in the market. Doing so will allow them to "buy low, sell high" which is a common cliche in finance. Though it's a very good rule to follow of course.

The efficient market hypothesis says that whatever the stock price is currently, it reflects everything about that company. In other words, there are no hidden facts that may surprise investors to drastically change the price of the stock. All information is completely transparent. What this means is that anyone can determine where to put their money without the need for a financial advisor.

I don't think demand would be completely wiped out since even if in a 100% transparent environment, people would still prefer to have others manage their money or not want to deal with complicated math formulas. However, demand would be reduced to some degree. In reality, there are always hidden factors that don't fully contribute to the cost of a security, which is why the efficient market hypothesis isn't fully applicable in every situation. So this is likely why financial advisors are in demand and are paid well.

Answer:

same, vary, variability, answers, predictions

Step-by-step explanation:

The questions is statistical because the answers would not be the same. The answers would vary. This means the answers have variability. Another reason the question is statistical is that you could take the answers and make predictions about the number of books sixth-grade students read each week.

Answer:

the question is statistical because the answers would not all be the same. the answers would vary. this means that the answers would have variability. another reason the question is statistical is because you could use the predictions to make answers about the number of books.

The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

Prime numbers:-

The prime number is defined as the number which is divided by 1 and itself.

Composite numbers:-

The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.

From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.

Pattern { 1, 5, 7, 9, 11, 13 }

1   → prime

5  → prime

7  → prime

9  → composite

11  → prime

13 → prime

Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

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Translating the given phrase into a variable expression is equal to k - 2.

A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.

Next, we would translate the given phrase into a variable expression as follows:

Let the number of keys on the keyring be k.

Therefore, the variable expression is equal to k - 2.

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Complete Question:

Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.

The number of keys on the keyring minus 2?

Answer:

The required probability = 0.144

Step-by-step explanation:

Since the probability of making money is 60%, then the probability of losing money will be 100-60% = 40%

Now the probability we want to calculate is the probability of making money in the first two days and losing money on the third day.

That would be;

P(making money) * P(making money) * P(losing money)

Kindly recollect;

P(making money) = 60% = 60/100 = 0.6

P(losing money) = 40% = 40/100 = 0.4

The probability we want to calculate is thus;

0.6 * 0.6 * 0.4 = 0.144

Step-by-step explanation:

X =3 so 3+5=8

Then 2*3=6-7

(8)(6-7)

8*6-7

48-7

41

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

The proper steps for the construction are given as 1, 2 4, and then 3.

The proper steps for the construction are;

1. Place the compass needle on the external point R. Make the compass width greater than the distance from R to the given line.

2. Draw an arc cutting the given line at two points. Mark and label the points of intersection P and Q.

3. Move the compass needle to P and make an arc below the line. Keep the compass width, and move the compass needle to Q. Draw an arc below the line crossing the other arc. Mark and label the point of intersection S.

4. Draw a line from the external point R to the points where the arcs intersect, S. Line RS is perpendicular to line PQ and passes through the external point R.

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Answer:

B)

Explanation:

We were given the graph

On the graph, we observe the places where the curve intersects the x-axis. These occur at the following point:

The binomial factors is thus given by:

Hence, the correct option is B

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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First let's use two rules of three to determine the actual dimensions of the building.

For the length, we have:

For the width:

Now, calculating the area of the building base, we have:

So the area of the building base is 1890 ft².

Answer:

2/10 (4/5)-(5/2)+ (10)=7.66

Answer:

\(\frac{383}{50} = 7.66\)

Step-by-step explanation:

\(\frac{2}{10}(\frac{4}{5})-(\frac{5}{2})+10\)

\(= \frac{4}{25} -\frac{5}{2}+10\)

\(=\frac{383}{50} = 7.66\)

Answer:

If only Jim purchased a cup of coffee, we will subtract its cost from the total;

9.50 - 1.00 = 8.50

Assuming that the two purchased nothing else for breakfast, and that the cost of an egg scramble was the same for both, let's call the price of the egg scramble x.

Since they both bought eggs, then 2x = 8.50

x = $4.25, the price for each egg scramble

Answer:

wrong subject but, kiss means i guess to lock lips in a passionate way or in a greeting way. In some countries kissing someone on the cheek or past the cheek is a sign of a greeting i believe.

In short kissing means a way to show compassion or love.

Answer:

E only

Step-by-step explanation:

The width cannot be negative, the width of the walkway is 6 feet. The total area of the garden and the walkway is given as 648 square feet. We know the area of the garden is length multiplied by width, which in this case is 12 feet by 15 feet, so the garden area is\(12 \times 15 = 180\) square feet.

To find the area of the walkway, we subtract the garden area from the total area. Therefore, the area of the walkway is 648 - 180 = 468 square feet.

The walkway surrounds the garden on all sides, so its length and width will be greater than the corresponding dimensions of the garden.

To calculate the width of the walkway, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, the length is 12 + 2x (twice the width of the walkway) and the width is 15 + 2x.

So, we have the equation\((12 + 2x) \times (15 + 2x) = 468\).

Expanding and rearranging the equation, we get\(4x^2 + 54x - 228 = 0.\)

Solving this quadratic equation using factoring, completing the square, or the quadratic formula, we find that x = 6 or x = -9/2.

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The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer: 142825

Step-by-step explanation:

If \(t\) is the number of years, then the population is \(P(t)=100000(1.02)^t\).

Setting \(t=18\). \(P(18)=100000(1.02)^{18} \approx 142825\).

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

Let y represent the population after x years.

Given that the growth rate is 4.5% per year and the current population is 1500.

Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045

y = 1500(1.045)ˣ

After 6 years:

y = 1500(1.045)⁶ = 1953

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

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Answer:

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

                Length = 9 in

                Width = 12 in

The dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

Let l be the length and w  be the width of the rectangle.

Length l = 3 + w

Perimeter P = 42 in

Perimeter = 2l + 2w

42 = 2(3 + w) + 2w

w = 36/4

w = 9 in

solve for l by substituting the value of w = 9 into the equation:

l = 3 + w

l = 3 + 9

l = 12 in

Thus, the dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

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The vertex of the function is at the point (-2, -3).

What is absolute value function?

In algebra, an absolute value function is a function where the variable is inside the bars denoting absolute values. The modulus function is another name for this function.

To find the vertex of the absolute value function f(x) = |x + 2| - 3, we need to first recognize that the function has a V-shape and that the vertex is the lowest point of that V-shape.

Since the absolute value function |x + 2| is symmetric around x = -2, the vertex of the function f(x) = |x + 2| - 3 will occur when x + 2 = 0, which gives us x = -2.

Plugging x = -2 into the function, we get:

f(-2) = |-2 + 2| - 3 = 0 - 3 = -3

Therefore, the vertex of the function is at the point (-2, -3).

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Answer:

√2 < 1.8

Step-by-step explanation:

Square of 2 is 1.41421356237309 and that is less than 1.8 continued.