66 is 0.6% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than ​66, slightly less than ​,66 slightly greater than 66 ​, or a lot greater than ​ 66? Explain.

Queston:

Select all of the values that are solutions to the following inequality.

3(2a-1)> 10a - 11

Answer:

The answer is 2

A poster is being designed that is to contain 2 150. In of printed material with margins of 2 inches at the top and bottom and 3 inches at each side. the dimensions that will minimize the amount of paper used is that should be 12 inches wide by 6 inches tall.

The margins are 2 inches at the top and bottom and 3 inches at each side. The margins are then added to the two 150s, making a total width of 12 inches and a total height of 6 inches. This is the minimum amount of paper that can be used for the poster.   In order to minimize the amount of paper used, it is important to consider the size of the margins.

The margins should be kept as small as possible in order to maximize the amount of space available for the printed material. Generally speaking, a margin of 1 inch is sufficient for most printed materials. If a larger margin is necessary, then the overall dimensions of the poster should be adjusted accordingly.

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Answer:

\((-1)(x+3)(x-2)\)

Step-by-step explanation:

Factoring

We are given a trinomial:

\(-x^2-x+6\)

The following steps are done to factor the trinomial.

1. Confirm there are no common factors: No common factors (given)

2. Factor out -1:

Multiply all the terms by -1 and take -1 out:

\(\boxed{(-1)(x^2+x-6)}\)

3. Factor

\(x^2+x-6 = (x+p)(x+q)\)

We have to find two numbers p and q whose product is -6 and the sum is 1. Those numbers are 3 and -2 (in any order):

Factoring:

\(x^2+x-6 = (x+3)(x-2)\)

The final factoring is:

\(\boxed{(-1)(x+3)(x-2)}\)

Answer:

see explanation

Step-by-step explanation:

The domain D are the values of x, that is

D = { 3, 6, 12, 18 }

The range R are the values of y , that is

R = { 5, 7, 9, 10 }

The relationship is a function if each value of x in the domain maps to exactly one unique value of y in the range.

The relation is not a function as

6 → 5 and 6 → 10 ( that is 2 different values )

The station of Point of Curvature (PC) is 319+50.

A horizontal curve on a 4-lane highway (i.e., 2-lanes in each direction) has a superelevation of 6% and central angle of 40 degrees. The pt and pi are located at stations 322 50 and 320 08, respectively. The roadway has 10 feet lanes and 8 feet shoulders on both sides with high retaining walls going up immediately next to shoulders.

What is the highest safe speed of this curve and at what station is the PC located? Solution:The following is a solution to the problem discussed above.

We know that, Maximum Safe Speed = Vmax = √Rf Where,Rf = G x f (Radius of Flair)G = 32.2 ft/s2 (Acceleration due to Gravity)

f = Superelevation of the RoadwayVmax = √RfG= √(160f) ft/s

Equation 1 Where

Now, Maximum Safe Speed = Vmax = 3.10 ft/s The Central Angle is given to be 40 degrees.

The Station of the PT and PI is given to be 322+50 and 320+08 respectively. Also, the roadway has 10 feet lanes and 8 feet shoulders on both sides with high retaining walls going up immediately next to shoulders.

To calculate the station of the Point of Curvature (PC), let's use the following formula:

PC = PI - (LC x sin ∆)

Where,

PC = 320+08 - (LC x sin 0.698)

Equation 2Let's calculate the Length of Curve (LC) for the curve.

LC = (Deg. of Curvature/ 360°) x 2πRWhere, 2L = Width of Pavement= 10 x 2 + 8 x 2= 36 feet

R = (2L/ sin ∆) + (2L/ tan 2∆)R = (18/ sin 0.698) + (18/ tan 1.397)R = 362.61 feet

LC = (40/ 360) x 2π x 362.61 feet= 80.14 feet

Now, substitute the value of LC and ∆ in Equation 2 and calculate the value of PC.

PC = 320+08 - (80.14 x sin 0.698)= 320+08 - 58.12= 319+50Hence, the station of Point of Curvature (PC) is 319+50.

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Answer:

17.5 days

Step-by-step explanation:

1/5 box cereal per day

3 1/2 box cereal total

convert to improper fraction: 3 1/2 = ((3*2)+1)/2= 7/2

now you have:

1/5 box cereal per day

7/2 box cereal total

convert to common denominator (same bottom number in fraction, which makes it easy to evaluate later):

1/5 = 2/10 box cereal per day

(7*5)/(2*5)= 35/10 box cereal total

total amount/ amount used per day = how many days the thing will last

(35/10)/(2/10) = 35/2 = 17.5

when same denominator (bottom number in fraction) in fractions that are divided by each other you can just cross out the bottom number

will last 17.5 days

Answer:

288q-185=236q-245

Answer:  288q - 185 = 236q - 245

Explanation:

A product is the result of multiplying. So "product of 288 and q" means "288 times q" or "288*q" or simply "288q".

The rest of the sentence your teacher gave you is probably self explanatory, so there's not much else to mention.

Answer:

its all black;-; that just color black

Step-by-step explanation:

how we going to see it if that is black

The value of m is for i) No solution: m = 0

ii) Many solutions: m ≠ 0

iii) Unique solution: m = 2/9

To determine the values of m for which the system of linear equations has no solution, many solutions, or a unique solution, we need to analyze the coefficients and the resulting augmented matrix of the system.

Let's rewrite the system of equations in matrix form:

⎡ 1   4   -1 ⎤ ⎡ x ⎤   ⎡ 0 ⎤

⎢ 0  -9    5  ⎥ ⎢ y ⎥ = ⎢-1⎥

⎣ 0  -2   -m ⎦ ⎣ z ⎦   ⎣ m ⎦

Now, let's analyze the possibilities:

i) No solution:

This occurs when the system is inconsistent, meaning that the equations are contradictory and cannot be satisfied simultaneously. In other words, the rows of the augmented matrix do not reduce to a row of zeros on the left side.

ii) Many solutions:

This occurs when the system is consistent but has at least one dependent equation or redundant information. In this case, the rows of the augmented matrix reduce to a row of zeros on the left side.

iii) Unique solution:

This occurs when the system is consistent and all the equations are linearly independent, meaning that each equation provides new information and there are no redundant equations. In this case, the augmented matrix reduces to the identity matrix on the left side.

Now, let's perform row operations on the augmented matrix to determine the conditions for each case.

R2 = (1/9)R2

R3 = (1/2)R3

⎡ 1   4   -1 ⎤ ⎡ x ⎤   ⎡ 0 ⎤

⎢ 0   1 -5/9 ⎥ ⎢ y ⎥ = ⎢-1/9⎥

⎣ 0   1  -m/2⎦ ⎣ z ⎦   ⎣ m/2⎦

R3 = R3 - R2

⎡ 1   4   -1 ⎤ ⎡ x ⎤   ⎡ 0 ⎤

⎢ 0   1 -5/9 ⎥ ⎢ y ⎥ = ⎢-1/9⎥

⎣ 0   0  -m/2⎦ ⎣ z ⎦   ⎣ m/2 - 1/9⎦

From the last row, we can see that the value of m will determine the outcome of the system.

i) No solution:

If m = 0, the last row becomes [0 0 0 | -1/9], which is inconsistent. Thus, there is no solution when m = 0.

ii) Many solutions:

If m ≠ 0, the last row will not reduce to a row of zeros. In this case, we have a dependent equation and the system will have infinitely many solutions.

iii) Unique solution:

If the system has a unique solution, m must be such that the last row reduces to [0 0 0 | 0]. This means that the right-hand side of the last row, m/2 - 1/9, must equal zero:

m/2 - 1/9 = 0

Simplifying this equation:

m/2 = 1/9

m = 2/9

Therefore, for m = 2/9, the system will have a unique solution.

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Answer:

See explanation

Step-by-step explanation:

The graph of y = |x| is a graph of the absolute value function, which is a piecewise defined function. The graph of this function is a V-shaped curve, with the vertex of the V at the origin (0,0). The graph of y = |x + 1| + 4 can be obtained by shifting the graph of y = |x| to the right by 1 unit, and then shifting it up by 4 units.

The resulting graph of y = |x + 1| + 4 will be a V-shaped curve with the vertex at the point (1,4). The curve will be shifted to the right and up compared to the graph of y = |x|, and it will have the same general shape as the original graph.

The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

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On your entire strategy at the expiration of the contract if the stock price at that time is $81.50 then the profit is $2189.

A portfolio is a collection of financial investments like stocks, bonds, commodities, cash and cash equivalents, including closed-end funds and exchange traded funds.

A stock is a security that represents the ownership of a fraction of the issuing corporation. Units of stock are called "shares" which entitles the owner to a proportion of the corporation's assets the owner equal to how much stock they own.

We know that,

Profit on the strategy

        = Profit on the shares + Profit from long calls + Profit from short puts

        = 200(81.50 - 70) + 200(Max(81.50-72,0)-5.75) + 300(-Max(68 - 81.50,0)+2.87)

        = 2300 + 750 - 861

        = 2189

Therefore profit on strategy is $2189.

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Answer:

-17/10 as a simplified fraction or -1 7/10 as a normal fraction

Step-by-step explanation:

Hi there! Your answer is going to be 1 7/10.

Step-by-step explanation: You have to remove the negative sign, then convert the positive decimal number to a positive fraction. Apply the negative sign to the fraction answer. Rewrite the decimal number as a fraction with 1 in the denominator. Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10^1 = 10 1.7/1×10/10=17/10.

Hope this helps! Have a good day!

There are 210 sequences for 7 church bells to rung with the given conditions. Using permutations, the required number of sequences is calculated.

A sequence or arrangement that can be framed by taking some or all of a finite set of things (or objects) is called a permutation.

The formula for finding the number of such arrangements is,

ⁿPₓ = n!/(n - x)!

It is given that, a church's bell tower has 7 bells. 3 of them will ring in a sequence before each service and no bell is rung more than once.

So, the number of sequences that the bells will form is calculated by using the permutations formula. I.e., ⁿPₓ = n!/(n - x)!

Here, n = 7; x = 3

Then,

ⁿPₓ = n!/(n - x)! ⇒ ⁷P₃ = 7!/(7 - 3)! = 7!/4!

⇒ ⁷P₃ = (7 × 6 × 5 × 4!)/4! = 7 × 6 × 5 = 210

Therefore, there are 210 sequences for ringing the bells.

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Answer:

(2,4)

X always comes before Y. So the X is 2 and the Y is 4, so (2,4).

Answer:

right angle

Step-by-step explanation:

Answer:

3.75+7.5 = 11.25

20 dollars in total how much change.

20 - 11.25 = 8.75

$8.75 change

The true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

Now the given polynomials are,

6s^2t – 2st^2 and 4s^2t – 3st^2

Now adding these two polynomials we get,

Sum of polynomials = 6s^2t – 2st^2 + 4s^2t – 3st^2

Taking alike terms together,

= 6s^2t + 4s^2t – 2st^2 – 3st^2

Now simplifying we get,

= 10s^2t – 5st^2

Here we see that the highest power of a variable is 2.

Thus this sum of polynomials is a binomial.

Now sum of the powers of variable s and t = 2 + 1 = 3

Thus, Degree of the sum of polynomials is 3.

Thus, the true about the sum of the two polynomials- 6s^2t – 2st^2 and 4s^2t – 3st^2 is The sum is a binomial with a degree of 3.

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The value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have two triangles shown in the picture.

By using the property of a similar triangle:

y/7 = 11/x = 6/5

y/7 = 6/5

y = 42/5

11/x = 6/5

x = 55/6

Thus, the value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

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                       BioResearch

                         /               \

                    Statistics   Biochemistry

The tree diagram shows that there are two possible ways for a Biology major to take BioResearch: they can take Statistics, or they can take Biochemistry.

The first branch of the tree represents the possibility that the student takes Statistics. The second branch represents the possibility that the student takes Biochemistry. The leaf nodes at the end of each branch represent the possible outcomes: the student either takes BioResearch, or they do not.

The probability of a student taking BioResearch can be calculated by multiplying the probabilities of each branch. The probability of taking Statistics is 0.5, and the probability of taking Biochemistry is 0.5. Therefore, the probability of taking BioResearch is 0.5 * 0.5 = 0.25.

This means that 25% of Biology majors will be able to take BioResearch. The remaining 75% of Biology majors will not be able to take BioResearch because they have not taken either Statistics or Biochemistry.

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Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

Answer:

Since the speed can't be negative it was 60 km/h for the first stage and 80 km/h on the second stage, averaging 70 km/h for the whole course.

Step-by-step explanation:

The speed of the truck for the first stage of the route is "x" km/h, while on the second one it raises to "x + 20" km/h. The time it takes to complete each stage is shown below:

\(t_{stage 1} = \frac{150}{x}\\t_{stage 2} = \frac{200}{x + 20}\)

The sum of these times must be equal to the total time of the trip, therefore:

\(t_{stage1} + t_{stage2} = 5\)

\(\frac{150}{x} + \frac{200}{x + 20} = 5\\\frac{150*(x + 20) + 200*x}{x(x + 20)} = 5\\150*x + 3000 + 200*x = 5*x*(x + 20)\\5*x^2 + 100*x - 350*x - 3000 = 0\\5*x^2 - 250*x - 3000 = 0\\x^2 - 50*x - 600 = 0\\x_{1,2} = \frac{-(-50) \pm \sqrt{(-50)^2 - 4*1*(-600)}}{2*1}\\x_{1,2} = \frac{50\pm \sqrt{2500 + 2400}}{2}\\x_{1,2} = \frac{50\pm \sqrt{4900}}{2}\\x_{1,2} = \frac{50 \pm 70}{2}\\x_{1} = 60\\x_{2} = -10\)

Since the speed can't be negative it was 60 km/h for the first stage and 80 km/h on the second stage, averaging 70 km/h for the whole course.

Answer:

(-5,7) (-5,8) (-5,3)

Step-by-step explanation:

Dont know if this will help but here you go

Answer:

es 4.3

Step-by-step explanation:

por que dividir 10.75 entre 2.5 da 4.3

Answer:

1:59 bro ...........................

Answer:

1.59

Step-by-step explanation:

1 pound + 59pence as interest= 1.59

Answer:

11

Step-by-step explaination

Start by subtracting 4-2 and you get 2

Then add 2+3 to get 5

Add 5+6 and get 11

4-2+3+6

4-2=2

2+3+6

5+6

11

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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Answer:

-52

Step-by-step explanation:

the absolute value is always positive and so 33 would remain 33, but -52 would change to 52 which is greater than 33.

Answer:

- 52

Step-by-step explanation:

the absolute value would make it 52 which is greater than 33

Answer:

2

Step-by-step explanation:

1. 2^2 = 4

|7+4|

2. 7+4 = 11

|11|

3. 4 * 11 = 44

2+44

4. 44 + 2 = 46

46

5. 4 * 2 = 8

[8 + 5 * 3]

6. 5 * 3 = 15

[8+15]

7. 8 + 15 = 23

46/23

8. 46/23 = 2

2

FINAL ANSWER:

2