please help me do this question​

Answer:

6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)  ==> coordinates: (x1, y1), (x2, y2)

m=slope

Visible coordinates: (0, -1), (1, 5) ==> (x1, y1), (x2, y2)

Hence: (x1=0, y1=-1), (x2=1, y2=5)

m=(5-(-1))/(1-0)  ==> plug in the values of x1, y1, x2, and y2 into formula

m=(5+1)/1  ==> (subtract by negative number) == (add by positive number)

m=6/1

m=6  ==> slope: 6

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

Step 1: Write out the equation of a straight line given two points

Step 2: write out the coordinates given in the question

Step 3: Substitute the given parameters in the formula

Hence, the equation of the line is y=2x+12

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

The cutoff point is 717 minutes.

Arrange the data in ascending order.

307, 311, 321, 322, 354, 363, 377, 406, 410, 425, 435, 461, 464, 474, 499, 505, 513, 517, 534, 548

Thus, the value of i is 5.

Here, i is an integer, the 25th percentile is the mean of the data values at the 5th and 6th positions.

The data value in the 5th position is 354 and the data value in the 6th position is 363. Thus, the mean of these two values is,

=358.5

​

The 25th percentile is considered as the first quartile. Hence, the value of the first quartile (Q1 ) is 358.5 minutes.

Find the third quartile (Q3) or 75th percentile.

Consider p=75 and n=20 .

Thus, the value of i is 15.

Here, i is an integer, the 75th percentile is the mean of the data values in positions at the 15th and 16th

The data value in the 15th position is 499 and the data value in the 16th  position is 505. Thus, the mean of these two values is 502.

The 75th percentile is considered as the third quartile. Hence, the value of the third quartile (Q3 ) is 502 minutes.

The interquartile range (IQR) is 143.5

The upper fence is,

Upperfence=502+(1.5∗143.5)

=502+215.25

=717.25

≈717minutes

The cutoff point is 717 minutes.

The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. Thus, the cutoff point is 717 minutes.

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Answer:

That high score is nothing, try beating 3,756,396 HEHEHEHAW

Step-by-step explanation:

Answer: I got warned for no reason

I just put " Try beating 15 muhahaha." and got warned like come on

Step-by-step explanation:

Answer:

Leonhard Euler was a Swiss mathematician who lived from 1707-1783. He made significant contributions to many areas of mathematics, including number theory, calculus, and geometry.

One of Euler's significant contributions to the field of sequences and series is his work on the summation of infinite series. In particular, he developed a method for finding the sum of an infinite geometric series, which has the form:

a + ar + ar^2 + ar^3 + ...

where a is the first term, r is the common ratio, and the series continues infinitely.

Euler's method for finding the sum of this series is as follows:

If |r| < 1, then the sum of the series is:

a / (1 - r)

For example, let's consider the infinite geometric series:

2 + 4 + 8 + 16 + ...

In this series, a = 2 and r = 2. Since |r| < 1, we can use Euler's formula to find the sum:

sum = a / (1 - r)

= 2 / (1 - 2)

= -2

Therefore, the sum of the infinite geometric series 2 + 4 + 8 + 16 + ... is -2.

Euler's formula is just one example of his many contributions to mathematics. His work on sequences and series laid the foundation for many important concepts in calculus, and his ideas continue to influence the field of mathematics today.

       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

Answer:

Part 1

Type II error

Part 2

No ; is not ; true

Step-by-step explanation:

Data provided in the question

Mean = 100

The Random sample is taken = 43 students

Based on the given information, the conclusion is as follows

Part 1

Since it is mentioned that the classes are successful which is same treated as a null rejection and at the same time it also accepts the alternate hypothesis

Based on this, it is a failure to deny or reject the false null that represents type II error

Part 2

And if the classes are not successful so we can make successful by making type I error and at the same time type II error is not possible

Therefore no type II error is not possible and when the null hypothesis is true the classes are not successful

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

Hence, in response to the provided question, we can say that Martina equation used 26 pounds of type A coffee in the mix as a result.

An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.

Assume Martina used x pounds of type A coffee in her blend. Then, based on the information provided, she used 4 pounds of type B coffee.

Type A coffee costs $4.30 per pound, so x pounds of type A coffee costs $4.30x dollars.

Because the entire cost of the blend is given as $689.00, we may formulate the following equation:

4.30x + 22.20x = 689.00

Mixing similar phrases yields:

26.50x = 689.00

When we divide both sides by 26.50, we get:

x = 26

Martina used 26 pounds of type A coffee in the mix as a result.

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Answer

First one is A

Second one is B

Third one is D

Problem 1

Answer: Choice A

(30, 225); Rocket reaches max height of 225 ft after 30 seconds.

-------------------

Explanation:

Distribute the 0.25 through to get

y = 0.25(60x-x^2)

y = 15x - 0.25x^2

y = -0.25x^2 + 15x

This is in standard form y = ax^2+bx+c with a = -0.25, b = 15 and c = 0.

The first two values mentioned lead to this x coordinate of the vertex.

h = -b/(2a)

h = -15/(2*(-0.25))

h = -15/(-0.5)

h = 30

This tells us the answer is between A and C.

If you were to plug x = 30 into the original equation, you'll get y = 225. It means that after x = 30 seconds, the rocket has reached its max height of 225 feet. Therefore, the answer must be choice A.

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

Problem 2

Answer:  Choice B

(x-3)^2 = -8(y-6)

-------------------

Explanation:

vertex = base of the bulb = (3,6)

focus = top of the bulb = (3,4)

This flashlight is pointed downward, which forms a downward opening parabola.

The distance from the vertex to the focus is p = 2 units. This is known as the focal distance.

We'll plug that in along with the vertex (h,k) = (3,6) in the formula below

4p(y-k) = (x-h)^2

4*2(y-6) = (x-3)^2

8(y-6) = (x-3)^2

Unfortunately that equation above produces a parabola that opens upward. To fix things, we stick a negative out front on either side, which will reflect the parabola over the x axis to make the parabola open downward. That leads us to choice B.

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

Problem 3

Answer:  D) square

-------------------

Explanation:

We can form a point by intersecting the plane through the point where the two cones meet. The plane needs to be parallel to the base of each cone.

We can also form a line. To do so, we intersect the plane at exactly  along the edge of the cone. Make the plane tangent to the cone.

Lastly, we can form a circle by intersecting any plane parallel to the cone's base. This plane cannot pass through the meeting point of the two cones. Rather, the plane passes through one of the cones.

Those three previous paragraphs mean that we can rule out choices A,B,C. The only thing we can't form is a square. We can form straight lines, but we cannot form perpendicular lines needed to get a square. Nice work on selecting the correct answer.

Answer:

simple interest of the given question is 495

Step-by-step explanation:

SIMPLE INTEREST=P*T*R/100

Answer:

  2i\(\sqrt{7}\),-2i\(\sqrt{7}\)

The statement, errors can be negative or positive is true about the observed errors associated with estimating the dependent variable using the regression line.

The average separation between the observed values and the regression line is shown by the standard error of the regression (S), sometimes referred to as the standard error of the estimate. Utilizing the units of the response variable, conveniently informs you of how consistently off the regression model is. Measurement error and intrinsic or equation error are the two origins of errors. Typically, the mean of these error components is believed to be zero and they are random. A fast approximation of a 95% prediction interval is that about 95% of the observations should be within plus/minus 2*standard error of the regression from the regression line.

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Answer:

There is not sufficient evidence to conclude that there exists significant difference in the birth weights of a mother's first child and second child at 10% level of significance.

Step-by-step explanation:

When our p-value exceeds level of significance then we fail to reject our null hypothesis. In this scenario we are investigating if there exists significant difference in the birth weights of a mother's first child and second child and our null hypothesis is there exists no significant difference in the birth weights of a mother's first child and second child i.e.μd=0.

As we are given that p-value is greater than 10% level of significant so, we cannot reject our null hypothesis. Thus, the conclusion statement can be written as "There is not sufficient evidence to conclude that there exists significant difference in the birth weights of a mother's first child and second child at 10% level of significance."

The amount of tax that is added to the cost of the computer is 159.72

From the question, we have the following parameters that can be used in our computation:

Computer cost = 968

Tax percentage = 16.5%

Using the above as a guide, we have the following:

Tax amount = Computer cost * Tax percentage

substitute the known values in the above equation, so, we have the following representation

Tax amount = 968 * 16.5%

Evaluate

Tax amount = 159.72

Hence, the amount of tax that is added to the cost of the computer is 159.72

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Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

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Answer:

with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.

Step-by-step explanation:

Answer:

The slope is \(\frac{9}{16}\)

Step-by-step explanation:

Hi there!

We are given the points (29, 11) and (-3, -7), and we want to find the slope of them.

The slope can be calculated from two points with the slope formula, which is \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points.

We have two points given, but let's label their values to avoid any confusion when we actually calculate:

\(x_1=29\\y_1=11\\x_2=-3\\y_2=-7\)

Now substitute into the formula (m is the slope).

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-7-11}{-3-29}\)

Subtract

m=\(\frac{-18}{-32}\)

Reduce the fraction

m=\(\frac{9}{16}\)

The slope is \(\frac{9}{16}\)

Hope this helps!

Answer:

1 5/8 hours

Step-by-step explanation:

Time spent reading stories = total time - (time spent for games and television)

3 - (1 3/4 + 1/2) = 3 - (7/8 + 4/8) = 24/8 - 11/8 = 13/8 = 1 5/8 hours

Answer:

x = 78°

Step-by-step explanation:

m<P = 12°

Since PQ is tangent to the circle at point Q, therefore m<Q = 90° (tangent theorem)

x + m<P + m<Q = 180° (sum of triangle theorem)

Substitute

x + 12° + 90° = 180°

x + 102° = 180°

Subtract 102° from each side

x = 180° - 102°

x = 78°

We have a problem about a system of equations

x= cost per one daylily

y=cost per one bunch

the equation for Arjun

7 daylilies

12 bunches

total cost 114

7x+12y=114

the equation for Chelsea

8 daylilies

6 bunches

total cost 84

8x+6y=84

the system of equations we have is

7x+12y=114

8x+6y=84

In order to solve the system, we will multiplicate the second equation by -2

then we will sum the first equation with the equation above

then we sum similar terms

then we isolate x

then we will substitute the value of x in the first equation in order to find y

the solution is

cost of one daylily =x=6

cost of one bunch =y=6

Answer:

Find the exact value using trigonometric identities.

( 60 , 280 ) , 5 ,  8534.4 ,  ( 5 , 8534.4 ) ,  5 ,  294.54  ,  5 ,  3360 ,  2.54

Step-by-step explanation:

Olivia would be able to get 11 toppings.

Steps:

8.00 / .75 = 10.6

Round~

11

You're welcome!!!

Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

The perimeter of the figure with side length of 5 units is 50 units

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:

opposite

Step-by-step explanation:

it's negative