I'm confused on how to do it

Answer:

Step-by-step explanation:

We have :

\(f(x) = \left \{ {{2x+ 4\;\;\;\;\;\;if\; -5\leq x\leq 1} \atop {-x+7}\;\;\;\;\;\;\;\;if\; 1 < x < 5} \right. \\\\\)

When x = -5,

f(x) = 2(-5) + 4

f(x) = -10 + 4

f(x) = -6

When x = 1,

f(x) = 2(1) + 4

f(x) = 2 + 4

f(x) = 6

When x = 2,

f(x) = -2 + 7

f(x) = 5

When x = 4,

f(x) = -4 + 7

f(x) = 3

Plot these points on the graph.

The red line indicates f(x) = 2x + 4  and the blue line indicates f(x) = -x + 7

Answer:

210 students

Step-by-step explanation:

1/3 of 620 is 210

Step-by-step explanation:

Use z-score table to find the z-score that corresponds to .7000   ( 70%)

approx   .525   s.d.  above the mean

  .525  * 10 =  5.25  points above 100   = 105.25

Answer:

The conditions for calculating a confident surgery were clearly not past.

Step-by-step explanation:

When you are testing a vaccine of a surgery, there needs to be a over 60% success rate at which the vaccine of the surgery is affective, otherwise, it is decided that that medical procedure of medicine isn't safe. There have been some exceptions in the past when a vaccine for example was used with a 40% success rate, only because the public required this vaccine in there time.

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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The order pairs to the given equations are (-3, 18) and (3, 6)

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given are two equation, f(x) = x²-2x+3 and f(x) = -2x+12

For solving, equate them,

x²-2x+3 = -2x+12

x² = 2x-2x+12-3

x² = 9

x = ±3

Put x = -3 in f(x) = -2x+12

f(-3) = -2(-3)+12

f(-3) = 18

And, Put x = 3 in f(x) = -2x+12

f(3) = -2(3)+12

f(3) = 6

Therefore, the ordered pairs are (-3, 18) and (3, 6)

Hence, the order pairs to the given equations are (-3, 18) and (3, 6)

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Answer:

Cómo se vería si estuviera graficado:

2x−y=−2

3x−3y=15

Cómo se vería si lo resolviera graficando:

(−7,−12)

Answer:

Step-by-step explanation:

2x - y = -2

3x - 3y = 15

-6x + 3y = 6

3x - 3y  = 15

-3x = 21

x = -7

2(-7) - y = -2

-14 - y = -2

-y = 12

y = -12

(-7, -12)

Given:

Entrance fee = $5.50

Additional fee =  $1.25 for each activity.

Total amount spend at fair = $30

To find:

The equation that represents the problem.

Solution:

Let the number of activities be \(x\).

Additional fee for 1 activity = \(\$1.25\)

Additional fee for x activity = \(\$1.25x\)

Total fee = Entrance fee + Additional fee for x activity

               = \(\$5.50 + \$1.25x\)

It is given that Kevin has at most $30 to spend at the fair. So, total fee must be equal to $30.

\(\$5.50 + \$1.25x=\$30\)

\(5.50+1.25x=30\)

Therefore, the require equation is \(5.50+1.25x=30\).

Note: The inequality for the given problem is \(5.50+1.25x\leq 30\).

Based on the given information, it is not possible to accurately determine how many users of Clarinex-D would be expected to experience insomnia as a side effect.

The question would require additional data regarding the percentage of users who experience insomnia as a side effect in order to calculate an expected value. In general, when calculating expected values, it is important to have information regarding the probability of the event occurring. Without this information, it is not possible to accurately estimate the expected value. In the case of this question, we would need to know the percentage of users who experience insomnia as a side effect in order to calculate how many users out of the 240 would be expected to experience this particular side effect.

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The function f(x) that is defined as 2ex + 5x - ln(x) has a derivative that is written as f'(x) = 2ex + 5 - 1/x.

To get the derivative of f(x), we may differentiate each term independently using the laws of differentiation. This will allow us to find the derivative. In the same way that the derivative of ex is ex, the derivative of 2ex with respect to x is simply written as 2ex.

Because the derivative of a constant multiplied by x is simply the constant, the answer to the question "what is the derivative of 5x with respect to x?" is 5.

The chain rule is then used in order to distinguish -ln(x) with regard to the variable x. After calculating that 1/u is the derivative of ln(u) with respect to u, we multiply that result by the derivative of u with respect to x. Because u is x in this situation, the derivative of -ln(x) with regard to x is written as -1/x.

After combining these two derivatives, we arrive at the derivative of f(x) = 2ex + 5x - ln(x), which is written as f'(x) = 2ex + 5 - 1/x.

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Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

\(\huge\underline{Answer -}\)

\( \huge{\implies \: \frac{ - 2 \frac{1}{4} }{ - \frac{ 2}{3} }} \\ \\ \\ \\ \huge{\implies \: \frac{ \frac{ - 9}{4} }{ \frac{ - 2}{3} } } \\ \\ \\ \\ \huge{\implies \: - \frac{9}{4} \div (\frac{ - 2}{3} )}\)

therefore , option ( 2 ) is correct.

hope helpful -,-

Answer: $240

Step-by-step explanation:

Given

Ahmad earns 6 days daily from 9 am to 5 Pm at a rate of $30 per hour

The total no of hours he worked on a single day is 8 hours

So, the amount he earns on daily basis is

\(\Rightarrow 8\times 30\\\Rightarrow \$240\)

Increasing the significance level of a hypothesis test, for example from 1% to 5%, does not directly affect the p-value of an observed test statistic. The p-value is determined by the data and the test statistic, not the significance level.

However, changing the significance level will affect your decision about whether to reject or fail to reject the null hypothesis.

The significance level, denoted by alpha (α), represents the probability of making a Type I error, which occurs when you incorrectly reject the null hypothesis when it is true. By increasing the significance level, you are allowing for a higher probability of making a Type I error, making the test less stringent.

The p-value is the probability of obtaining a test statistic at least as extreme as the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the significance level, you reject the null hypothesis in favor of the alternative hypothesis.

In conclusion, increasing the significance level of a hypothesis test will not cause the p-value of an observed test statistic to change. Instead, it will change the threshold at which you decide to reject the null hypothesis, making the test more likely to reject the null hypothesis, and increasing the chance of making a Type I error.

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Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

Answer:

Move all terms not containing x to the right side of the inequality. x < 9

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality. x < 9

Answer:

(x+6)*(x+2)

step-by-step explanation:

Based on the given information, the product should be distributed from {S}1 to the retailers located at R1, R2, R3, and R4.

To determine the most efficient distribution route, several factors need to be considered. These factors include the distance between the origin point {S}1 and each retailer, transportation costs, logistical infrastructure, and delivery timeframes. By evaluating these factors, a decision can be made regarding the optimal distribution route.

One approach could be to assess the geographical proximity of {S}1 to each retailer. If {S}1 is closest to R1 compared to the other retailers, it would make logistical sense to prioritize R1 for distribution. However, other factors such as transportation costs and delivery timeframes must also be considered. If the transportation costs are significantly higher or the delivery timeframes are longer for R1 compared to the other retailers, it might be more efficient to distribute the product to a different retailer.

Moreover, the logistical infrastructure and transportation networks available between {S}1 and the retailers should be evaluated. If there are direct and efficient transportation routes between {S}1 and one or more retailers, it would make sense to utilize those routes for distribution. This consideration would help minimize transportation costs and delivery times.

Ultimately, the decision on the optimal distribution route depends on a comprehensive analysis of various factors such as geographical proximity, transportation costs, logistical infrastructure, and delivery timeframes. By carefully evaluating these factors, a well-informed decision can be made regarding the distribution of the product from {S}1 to retailers R1, R2, R3, and R4.

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Answer:

66.33 more grams

Step-by-step explanation:

bc 85.73-19.40=66.33

btw if you put the 0 at the end of the number "19.4" it doesn't change anything.

Hope this Helps

<3

Answer:

66.33 more salt

Step-by-step explanation:

I not so sure it is this but  i think you minus 85.73 by 19.4 and there you get your answer it it isnt the answer im soo sorry

The probability that 0.25 < x < 0.a) to determine the cumulative distribution function (cdf) of x,

we need to integrate the density function f(x) over the range from negative infinity to x.for x ≤ 0, the cdf is 0 since the density function is defined as 0 for x values less than 0.

for x between 0 and 1, we integrate the density function as follows:cdf(x) = ∫[0 to x] f(t) dt = ∫[0 to x] 2(1-t) dt

integrating this expression, we get:cdf(x) = 2∫[0 to x] (1-t) dt = 2[t - (t²/2)] evaluated from 0 to x       = 2[x - (x²/2)] - 2[0 - (0²/2)]

      = 2x - x², for 0 ≤ x ≤ 1for x > 1, the cdf is 1 since the density function is defined as 0 for x values greater than 1.

, the cumulative distribution function (cdf) of x is:cdf(x) = 0, for x < 0cdf(x) = 2x - x², for 0 ≤ x ≤ 1cdf(x) = 1, for x > 1

b) to find p(0.25 < x < 0.75), we can subtract the cdf values at 0.25 and 0.75:p(0.25 < x < 0.75) = cdf(0.75) - cdf(0.25)

                  = (2(0.75) - (0.75)²) - (2(0.25) - (0.25)²)                   = 1.5 - 0.5625 - 0.5 + 0.0625                   = 0.5 75 is 0.5 or 50%.

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To confirm this, we can see that if Marco buys 2 bags of him, in total he inequality gets 2x2 + 3 = 7 embers for his tetras. This is the maximum number of fish he can have in his tank.

An inequality in mathematics is a relationship between two expressions or values ​​that are not equal. Imbalance therefore leads to inequality. An inequality establishes a connection between two values ​​that are not equal in mathematics. Equality is different from inequality. The inequality sign () is most commonly used when two values ​​are not equal. Various inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be solved by changing both sides until only variables remain. But many things contribute to inequality. Negative values ​​on both sides are divided or added. Swap left and right.  

Let's start by defining a variable representing the number of bags Ember Tetra Marco can buy. Let's call this variable "x"

Each bag contains 2 of his Embertetras, so the total number of his Embertetras Marco can add to the tank is 2x.

However, he cannot put 10 fish in Marco's tank. He already has his 3 Ember tetras, so you can add up to 7 to your tank. Therefore, we can write the following inequality:

\(2x + 3 ≤ 7\)

To solve for x, first subtract 3 from both sides to separate the variables on one side of the inequality

\(2x ≤ 4\)

Then divide both sides by 2.

\(×≤2\)

So Marco can buy up to 2 bags of carassin for his aquarium.

To confirm this, we can see that if Marco buys 2 bags of him, in total he gets \(2x2 + 3 = 7\) embers for his tetras. This is the maximum number of fish he can have in his tank.

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Answer:

x = 7

Step-by-step explanation:

The 2 right triangles are similar by the AA postulate, then the ratios of corresponding sides are in proportion, that is

\(\frac{x}{4}\) = \(\frac{3.5}{2}\) ( cross- multiply )

2x = 14 ( divide both sides by 2 )

x = 7

Will recommend to see attached picture as name of angles are based on it.

\( \\ \)

We can only find value of x if both triangles i.e triangle DOC and triangle AOB are similar.

\( \\ \)

\(\sf \underline{In \: \triangle \: DOC \: and \: \triangle\:AOB: }\)

\( \\ \)

\( \sf1. \angle DOC = \angle AOB\)

Reason :-

VOC (Vertically opposite angle)

How to recognize either it is VOC (Vertically opposite angle) or not?

So it's basically very easy to recognize, when ever u see lines intersect each other just like a multiply sign ( × ) either horizontal or parallel they are considered as VOC ans are always equal.

\( \\ \)

\( \sf2. \angle CDO = \angle BAO\)

Reason:-

Both are of 90°.

So how we recognized that these both angles were in 90°?

When ever you see that angle is marked in square ( □ ) like shape instead of curve shape then it means the angle is 90°.

\( \\ \)

\(\sf\triangle \: DOC\simeq \triangle\:AOB: \)

By :- AA (angle angle)

\( \\ \\ \)

Now Finally Let's find value of x.

\( \\ \)

\( \dashrightarrow \sf\dfrac{DC}{AB} = \dfrac{OC}{OB} = \dfrac{OD}{OA} \)

Reason :- Corresponding sides of similar triangle are in proportion.

\( \\ \)

So:-

\( \\ \)

\( \dashrightarrow \sf\dfrac{DC}{AB} = \dfrac{OC}{OB}\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{2}{3.5} = \dfrac{4}{x}\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{3.5}{2} = \dfrac{x}{4}\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{35}{2 \times 10} = \dfrac{x}{4}\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{ \cancel{35}}{2 \times \cancel{10}} = \dfrac{x}{4}\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{7}{2 \times 2} = \dfrac{x}{4}\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{4 \times 7}{2 \times 2} = x\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{ \cancel4 \times 7}{\cancel2 \times 2} = x\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{ 2 \times 7}{1 \times 2} = x\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{\cancel 2 \times 7}{1 \times \cancel2} = x\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{1 \times 7}{1 \times 1} = x\)

\( \\ \\ \)

\( \dashrightarrow \sf\dfrac{7}{1 } = x\)

\( \\ \\ \)

\( \dashrightarrow \sf7= x\)

\( \\ \\ \)

\( \dashrightarrow \bf x = 7\)

\( \\ \\ \)

.°. length of x is equal to 7(unit)

Answer:

true

Step-by-step explanation:

For 3 sides to be able to form a triangle, we need to check that the 2 shorter sides can "touch" when "stemming" out of the long side.

The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.

Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.

The solution to the initial value problem is x(t) = 4/27 sin(3t).

We have solved the initial value problem x" + 9x = 12 sin(3t), x(0) = x'(0) = 0 and graphed the solution to confirm the phenomenon of pure resonance.

First, we need to solve the differential equation x" + 9x = 12 sin(3t) using standard techniques from differential equations. We can begin by assuming a solution of the form x(t) = A sin(3t) + B cos(3t), where A and B are constants to be determined. Taking the first and second derivatives of x(t), we find

=> x'(t) = 3A cos(3t) - 3B sin(3t) and x''(t) = -9A sin(3t) - 9B cos(3t).

Substituting these expressions into the differential equation, we obtain

=> -9A sin(3t) - 9B cos(3t) + 9A sin(3t) + 9B cos(3t) = 12 sin(3t).

Simplifying, we get 0 = 12 sin(3t), which implies that sin(3t) = 0.

This has solutions at t = 0, pi/3, 2pi/3, pi, etc.

These are the resonant frequencies of the system, where the external force is in phase with the natural frequency of the system.

To find the constants A and B, we can use the initial conditions x(0) = 0 and x'(0) = 0. Substituting t = 0 into the expressions for x(t) and x'(t), we get A = 0 and B = 0.

Therefore, the solution to the initial value problem is x(t) = 4/27 sin(3t).

Now let's graph the solution to confirm the phenomenon of pure resonance. We can use a graphing calculator or software to plot the function x(t) = 4/27 sin(3t) over a suitable range of t. We can also graph the external force 12 sin(3t) to see how it compares to the motion of the system.

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Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

he theater sold 356 adult tickets and 144 child tickets for a certain showtime to make a total of $3157 in ticket sales.

We have,

Let's assume that the number of adult tickets sold is x, and the number of child tickets sold is y.

We know that the total number of tickets sold cannot exceed the maximum capacity of the theater, so we have the inequality:

x + y ≤ 500

We also know that the total revenue from ticket sales is $3157, so we can write another equation based on the ticket prices:

7.25x + 4y = 3157

We have two equations with two variables, so we can solve for x and y using any method of our choice.

Here, we will use substitution.

We can write,

y ≤ 500 - x.

We can substitute this into the second equation.

7.25x + 4(500 - x) = 3157

Simplifying and solving for x.

7.25x + 2000 - 4x = 3157

3.25x = 1157

x = 355.69

We can't sell a fractional number of tickets, so we must round x to the nearest whole number.

Let's assume that x = 356.

Then, from the first inequality.

356 + y ≤ 500

y ≤ 144

Therefore, we can sell at most 144 child tickets.

To check if this solution satisfies the equation 7.25x + 4y = 3157, we substitute x = 356 and y = 144 into the equation:

7.25(356) + 4(144) = 3157

This is true, so our solution is valid.

Therefore,

The theater sold 356 adult tickets and 144 child tickets for a certain showtime to make a total of $3157 in ticket sales.

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Answer:

$0.8 or better known as answer C

Step-by-step explanation:

There are 2.25 distinct 2-colored necklaces of length 4, up to rotation. Since we cannot have a fractional number of necklaces, we round up to get a final answer of 3.

A necklace is made by stringing together beads in a circular shape. A 2-colored necklace is a necklace where each bead is painted either black or white. How many distinct 2-colored necklaces of length 4 are there? Two colorings are considered identical if they can be obtained from each other by rotation.Let's draw a table to keep track of our count:Each row in the table represents one way to color the necklace, and each column represents a distinct necklace.

For example, the first row represents a necklace where all the beads are black, and each column represents a distinct rotation of that necklace.We start by counting the necklaces where all the beads are the same color. There are 2 of these. We then count the necklaces where there are 2 beads of each color. There are 3 of these.Next, we count the necklaces where there are 3 beads of one color and 1 bead of the other color. There are 2 of these, as we can start with a black or white bead and then rotate.

Finally, we count the necklaces where there are 2 beads of one color and 2 beads of the other color. There are 2 of these, as we can start with a black or white bead and then rotate. Thus, there are a total of 2 + 3 + 2 + 2 = 9 distinct 2-colored necklaces of length 4, up to rotation.  Answer: 9There is a better algebraic way to do this without finding all cases: Using Burnside's lemma. Burnside's lemma states that the number of distinct necklaces (up to rotation) is equal to the average number of necklaces fixed by a rotation of the necklace group. The necklace group is the group of all rotations of the necklace.

The average number of necklaces fixed by a rotation is the sum of the number of necklaces fixed by each rotation, divided by the number of rotations.For a necklace of length 4, there are 4 rotations: no rotation (identity), 1/4 turn, 1/2 turn, and 3/4 turn. Let's count the number of necklaces fixed by each rotation:Identity: All necklaces are fixed by the identity rotation. There are 2^4 = 16 necklaces in total.1/4 turn: A necklace is fixed by a 1/4 turn rotation if and only if all beads are the same color or if they alternate black-white-black-white.

There are 2 necklaces of the first type and 2 necklaces of the second type.1/2 turn: A necklace is fixed by a 1/2 turn rotation if and only if it is made up of two pairs of opposite colored beads. There are 3 such necklaces.3/4 turn: A necklace is fixed by a 3/4 turn rotation if and only if it alternates white-black-white-black or black-white-black-white. There are 2 necklaces of this type.The total number of necklaces fixed by all rotations is 2 + 2 + 3 + 2 = 9, which is the same as our previous count. Dividing by the number of rotations (4), we get 9/4 = 2.25.

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The volume of solid 1 is 14 cubic units calculated through the formula of volume.

Volume is the maximum quantity of space that an object can contain. Volume, which is essentially a measurement of an object's size, is the quantity of space a thing occupies. A three-dimensional object's volume, which is calculated in cubic units, is the quantity of space it takes up. For instance, glass has a cylindrical form and can hold a certain volume of water.

Let V1 and V2 be the volumes of the congruent solids 1 and 2, respectively. The volume of their union is given

V1 U V2 = V1+V2-V1∩V2

We know that V1 ∩ V2 is a right triangular prism with height √3 and a base that is an equilateral triangle of side length 2. So, the volume can be calculated with the following formula:

V1 ∩ V2 = (1/2) * base * height * heightbase

where base is the area of the equilateral triangle, which is √3, height is √3, and height base is 2. Plugging in these values, we get:

V1 ∩ V2 = (1/2) * √3 * √3 * 2 = 3

Now we can use the given information to find the volume of 1:

25 = V1 + V2 - V1 ∩ V2

25 = V1 + V2 - 3

We also know that V1 = V2, since the solids are congruent.

Substituting the following value with the above equation, we get:

25 = 2V1 - 3

28 = 2V1

V1 = 14

Therefore, the volume of solid 1 is 14 cubic units.

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