Which best describes the error in solving the inequality?

Answer:

2 times

Step-by-step explanation:

3/4 × 2 = 6/4, simplified down is 3/2

Answer: the answer is a

Answer:

Cost of each individual book = $10.5

Step-by-step explanation:

Given:

Cost of 3 book set = $24.81

Amount save = $6.69

Find:

Cost of each individual book

Computation:

Assume:

Cost of each individual book = a

Total cost = 3a

So,

Total cost = $24.81 + $6.69

Total cost = $31.5

So,

3a = $31.5

a = $10.5

Cost of each individual book = $10.5

The speed of the plane after it encounters the wind is C.285mph

Since the plane takes off from an airport on a bearing of 270° and travels at a speed of 320 mph it's velocity is v = (320cos270°)i + (320sin270°)j

= (320 × 0)i + (320 × -1)j

= 0i - 320j

= - 320j mph

Also, the plane encounters a 35 mph wind blowing directly north. The velocity of the wind is v' = 35j mph

So, the velocity of the plane after it encounters the wind is the resultant velocity, V = v + v'

= -320j mph + 35j mph

= -285j mph

So, the speed of the plane after it encounters the wind is the magnitude of V = |-285j| mph

= 285 mph

So, the speed of the plane after it encounters the wind is C.285mph

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Answer:

Step-by-step explanation:

It would be day 18

From t=0 to t=10, the particle moved 17 units in the negative direction.

What is a position function?

You may find out where an object is at a specific time by using the position function, often known as a position equation. For instance, the location function graph shown below illustrates where an automobile will be (in meters) in the first few seconds after starting: the car's position and operation.

Here, we have

Given: a particle moves along the x-axis with position function x(t)=t²-8t-1 on the interval [0,10].

x(t) = t²- 8t-1

Velocity = dx/dt = 2t - 8

v = 2t - 8

0 = 2t - 8

2t = 8

t = 4

x(4) = (4)²-8(4)-1

x(4) = 16 - 32 - 1

x(4) = -17

Hence, from t=0 to t=10, the particle moved 17 units in the negative direction.  

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The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)

Option D is the correct answer.

We have,

In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.

As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.

This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²

Thus,

The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).

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The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is:  \(\(y=36(\frac{1}{2})^x\)\)

As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).

Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.

and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.

and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.

and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.

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Answer:

20 percent

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

since 100% is a 200, half of them were circus clowns 200/2 = 100

so 100 persons are 50%

from these 100, only 60 graduated as rodeo clowns and 40 as memes

1 percent of 200 is 2, so 40/2=20%

Answer:

the roots of f(x) = (x+5)3(x-9)2(x+1) are -5 (with a multiplicity of 3), 9 (with a multiplicity of 2)

Step-by-step explanation:

To find the roots of f(x) = (x+5)3(x-9)2(x+1), we need to set the polynomial equal to zero and solve for x.

f(x) = (x+5)3(x-9)2(x+1)

Setting f(x) equal to zero, we get:

0 = (x+5)3(x-9)2(x+1)

The roots of the polynomial are the values of x that make f(x) equal to zero. Therefore, the roots of the polynomial are:

-5 (with a multiplicity of 3), 9 (with a multiplicity of 2), and -1

Therefore, the roots of f(x) = (x+5)3(x-9)2(x+1) are -5 (with a multiplicity of 3), 9 (with a multiplicity of 2),

Answer:

4 2/3

Step-by-step explanation:

For the quadrupled recipe, you will need 6 2/3 cups of milk.

Here, we have,

To quadruple the macaroni and cheese recipe,

we need to multiply the original recipe measurements by 4.

The original recipe calls for 1 2/3 cups of milk.

To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:

1 2/3 * 4

= (5/3) * 4

= 20/3

= 6 2/3

Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.

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Answer: $333

Step-by-step explanation: $12000. Percentage Down payment = 25%. Absolute down payment = 25/100=12000 = $3000. Amount of loan (p) = 12000-3000 = $9000

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer:

the answer to that is =(-2,0) , because when you draw your graph you can see where the curve touches, the x axis on -2 and 0.

Answer:

(- 2, 0 ) and (0, 0 )

Step-by-step explanation:

The x- intercepts are where the graph intersects with the x- axis.

Here, there are 2 points where the graph crosses the x- axis, that is

(- 2, 0 ) and (0, 0 )

The two given fractions  \(\frac{20}{8}\) and \(\frac{28}{9}\) do not form a proportion.

How to find fractions that are in the same proportion?

Proportion shows that two fractions are equivalent or equal.

The given fractions are  \(\frac{20}{8}\) and \(\frac{28}{9}\)

Proportions are expressed in the form a:b::c:d

Where a and b represent antecedent and consequent respectively

This implies that a:b::c:d ⇒ \(\frac{20}{8}\) : \(\frac{28}{9}\)

The values  \(\frac{20}{8}\) = \(\frac{28}{9}\)

Since (20x9) is not equal to (8x28)

Multiplying the two sides to get

180=224.  This is a wrong representation.

Therefore the two fractions do not show a proportion

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The normal distribution that best approximates X is N(42, 21).

In an accounting college class, 50% of students receive a B or above on the final exam. 84 students are randomly selected from an accounting class at a local college. Let X be the number of students who received a B or above on the final exam. The normal distribution that best approximates X is a normal distribution with mean µ = np and variance σ^2 = np(1 - p).

In this case, n = 84 and p = 0.5 since 50% of the students receive a B or above on the final exam, and we want to find the distribution of the number of students who receive a B or above on the final exam.X ~ N(µ, σ^2) = N(np, np(1 - p)) = N(84(0.5), 84(0.5)(0.5)) = N(42, 21)

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There are Physical,Chemical,Biological factors that limit distribution of biota.

Physical factors such as water temperature, flow rate, and substrate type can limit the distribution of biota. For example, some species of fish can only survive in cold water, while others prefer warmer water.

Chemical factors such as pH, dissolved oxygen, and nutrient levels can also limit the distribution of biota. For example, some species of algae can only grow in water with a high pH, while others prefer water with a low pH.

Biological factors such as competition, predation, and parasitism can also limit the distribution of biota. For example, a species of fish may be limited in its distribution by competition from another species of fish that is better adapted to the same habitat.

The dissolved oxygen level in a river can also affect the distribution of biota, with some species requiring high levels of dissolved oxygen and others being able to tolerate lower levels. The nutrient levels in a river can also affect the distribution of biota, with some species requiring high levels of nutrients and others being able to tolerate lower levels.Predation can also limit the distribution of biota, with some species being more susceptible to predation than others. Parasitism can also limit the distribution of biota, with some species being more susceptible to parasites than others.

By understanding these factors, we can better understand the ecology of rivers and how they can be managed to protect biota.

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Answer:

it's 25 m/s in other word's C

Step-by-step explanation:

Answer:

C) 25m/s

Step-by-step explanation:

The highest point on the graph is located at 25m/s. Therefore that is the fastest speed the car traveled at.

Answer: 16

Step-by-step explanation:

\(f(x)=x^2 + 2x + 1\)

Since the coefficient of x^2 is 1, we know that the graph does *not* open downwards. However, the graph has been shifted left and right. This will make the maximum occur at a different place than normally.

Specifically, it has been shifted to the left, by 1 unit.

So the maximum will occur at x = 3.

lets plug in:

\(f(3)=(3)^2 + 2(3) + 1\)

\(f(3)=9 + 6 + 1\)

\(f(3)=16\)

The largest y valye is 16

Answer:

16

Step-by-step explanation:

The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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Answer:

yeah Mr Anderson is hardworking

Step-by-step explanation:

its very good if you marked me brainlist

Answer:

Step-by-step explanation:

The vertex form is:

Correct choice is D

Answer:

\(\textsf{d)} \quad 1=a(-3-2)^2+5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given information:

Therefore:

To find the constant "a", substitute found values into the vertex formula:

\(\implies 1=a(-3-2)^2+5\)

Additional information

Solve the equation for a:

\(\implies 1=a(-5)^2+5\)

\(\implies 1=25a+5\)

\(\implies -4=25a\)

\(\implies a=-\dfrac{4}{25}\)

Therefore, the equation of the parabola in vertex form is:

\(y=-\dfrac{4}{25}\left(x-2\right)^2+5\)

Saltine Chemical Inc. plans to construct a chemical plant in Nassau, Bahamas, investing $0.05 billion to produce iodized salt and industrial salts, creating over 200 local jobs and contributing to the region's economic growth.

the plant and is projected to create over 200 job opportunities for the local community. The decision to build the chemical plant in Nassau stems from the region's strategic location and its abundant natural resources, which make it an ideal hub for salt production.

Saltine Chemical Inc. aims to leverage advanced technology and sustainable practices in the construction and operation of the plant. Stringent environmental regulations will be followed to ensure minimal impact on the delicate ecosystem of the Bahamas. The company also plans to collaborate with local stakeholders, including government bodies and community organizations, to foster a mutually beneficial relationship and contribute to the socio-economic development of Nassau.

The production facility will not only cater to the domestic market but also target international markets, exporting iodized salt and other industrial salts. This expansion is anticipated to boost the local economy, attract foreign investment, and enhance the region's reputation as a key player in the chemical industry.

Through its responsible approach to production and commitment to quality, Saltine Chemical Inc. aims to become a trusted supplier of iodized salt and other industrial salts, meeting the diverse needs of customers while upholding the highest standards of safety and sustainability.

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The correct Question is:

Saltine Chemical Inc. plan to build a chemical plant in Nassau,

Bahamas, for the production of Iodized Salt and other industrial

based salts. Saltine will spend SO.05 billion in constructing the

plant at the onset and S835000 in annual maintenance and

operating cost for the subsequent years of operation. A complete

overhaul of the plant will be carrying out at the end of year 6

and 8 at an extra cost ofS148200 and 132005 respectively.

Saltine intends to run the project for 12 years before they sell the

plant to an indigenous chemical company at a salvage price

calculated based on the following equation:

a = y2 / (b^x2) ,To find the initial value of an exponential function, you can use the formula y = a * b^x, where y represents the final value, a represents the initial value, b represents the base, and x represents the exponent.

To solve for the initial value (a), you need to have at least two points on the exponential function. Let's say you have the point (x1, y1) and (x2, y2).

Step 1: Substitute the values of x1, y1, x2, and y2 into the formula y = a * b^x.

Step 2: Since the goal is to find the initial value (a), we can set up two equations using the given points.

For the first point (x1, y1):
y1 = a * b^x1

For the second point (x2, y2):
y2 = a * b^x2

Step 3: Divide the second equation by the first equation to eliminate the base (b):

y2/y1 = (a * b^x2) / (a * b^x1)

Step 4: Simplify the equation:

y2/y1 = b^(x2 - x1)

Step 5: Take the logarithm of both sides of the equation to isolate the exponent (x2 - x1):

log(y2/y1) = (x2 - x1) * log(b)

Step 6: Solve for (x2 - x1):

(x2 - x1) = log(y2/y1) / log(b)

Step 7: Substitute the value of (x2 - x1) into either of the original equations to solve for a:

a = y1 / (b^x1)

or

a = y2 / (b^x2)

Remember to use the same base (b) in all calculations. This will help you find the initial value (a) of the exponential function.
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a ) smaller is correct answer

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

Step-by-step explanation:

This problem can be solved in several ways. The way I like is as follows.

Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:

21000(P) = 2215

P = 0.1055 or 10.55 %

This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is

10.55 = 4(1 – X) + 15X

Where X is the proportion of the loan given at the indicated interest. So

10.55 = 4 – 4X + 15X

6.55 = 11X

X = 0.5955

1-X = 0.4045

So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5

And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5

Answer:

1 hour

Step-by-step explanation:

Matthew runs 1 mile every 5 minutes at a constant rate. You would have to multiply by 12 on both sides to get 12 miles and 5x12 would equal 60 minutes which is 1 hour.

Answer:

the Answer is 60 miles per hour