-18-7(-10+8)+12
explain please

Answer:

The line graph because it shows how the number of miles increases over the number of minutes.

Step-by-step explanation:

ake it or leave it

The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."

A graph can be defined as a visual representation or a diagram that represents data or values.

The distance in miles a car travels over time in minutes is shown in the table.

Distance (miles)    Time (minutes)

    10                                 15

   20                                 30

   30                                 45

   40                                 60

A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.

Hence, the correct answer would be an option (A).

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Answer:

nth term = the previous number times 4(x-1)

Step-by-step explanation:

As you see the first tower has 1 then it is 5 for the next tower and then it is 13 for the next tower and then 25. Well this means that as you see, the expressions adds 4 to the previous 4 and then adds to the tower. Let me show you how it works.

Tower 1: 1

Tower 2: 1 + 4 = 5

tower 3 : 5 + 8 = 13

tower 4: 13 + 12 = 25

tower 5: 25 +16 = 41

The following can be answered by the concept of Sequence.

1. The sequence is decreasing as n increases. So, the answer is (b) decreasing.

2. The sequence is not bounded.

1. To determine whether the sequence is increasing, decreasing, or not monotonic, let's first examine the formula: an = 4n(-3). Simplifying this gives us an = -12n. Since the coefficient of n is negative, the sequence is decreasing as n increases. So, the answer is (b) decreasing.

2. To determine if the sequence is bounded, we need to see if there are upper and lower limits to the sequence. In this case, the sequence continues to decrease as n increases without any limit.

Therefore, the sequence is not bounded.

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Answer: 23, 27,29

Those im absolutely positive about.

Im not sure abt the rest

Step-by-step explanation:

A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure

A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.

It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.

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Answer:

A) length = width +10

B) length * width = 144 OR

B) width = 144 /length  putting B) into A)

A) length = 144 / length + 10 then solving for length

A) length^2 = 144 +10 length

A) length^2 -10 length - 144 = 0  then we factor

(length -18) * (length +8) = 0

length = 18 feet

width = 8 feet

Step-by-step explanation:

To evaluate x² dV over the region E bounded by the xz-plane and the hemispheres y = √16 − x² − z² and y = √25 − x² − z² using spherical coordinates, set up the triple integral as ∫∫∫ (r sin θ cos φ)² r² sin θ dr dθ dφ, with the limits of integration as 0 ≤ r ≤ √(16 - z²), 0 ≤ θ ≤ π/2, and 0 ≤ φ ≤ 2π.

To evaluate the integral x² dV using spherical coordinates, we first need to express the integral in terms of the spherical coordinate system. The differential volume element in spherical coordinates is given by dV = r² sin θ dr dθ dφ.

Since we want to find the integral over the region E, which is bounded by the xz-plane and the two hemispheres, we need to determine the limits of integration for the spherical coordinates.

The bounds for the other two spherical coordinates, r and φ, can be determined by considering the equations of the two hemispheres.

For the upper hemisphere, we have:

y = √(16 - x² - z²)

Setting y = 0, we can solve for r and z:

0 = √(16 - x² - z²)

Squaring both sides, we get:

0 = 16 - x² - z²

Rearranging the equation, we have:

x² + z² = 16

This represents the boundary of the upper hemisphere, so the limits for r and φ will be determined by this equation.

For the lower hemisphere, we have:

y = √(25 - x² - z²)

Setting y = 0, we can solve for r and z:

0 = √(25 - x² - z²)

Squaring both sides, we get:

0 = 25 - x² - z²

Rearranging the equation, we have:

x² + z² = 25

This represents the boundary of the lower hemisphere, so the limits for r and φ will be determined by this equation.

Using the spherical coordinate system, we can rewrite x² dV as (r sin θ cos φ)² r² sin θ dr dθ dφ.

Now, we can set up the integral:

∫∫∫ (r sin θ cos φ)² r² sin θ dr dθ dφ

The limits of integration are as follows:

0 ≤ r ≤ √(16 - z²)

0 ≤ θ ≤ π/2

0 ≤ φ ≤ 2π

By evaluating this triple integral, we can find the value of x² dV over the region E.

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Complete Question:

Use spherical coordinates. Evaluate x² dV, E where E is bounded by the xz-plane and the hemispheres y =√16 − x² − z² and y = √25 − x² − z² .

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

Step-by-step explanation:

y ∝  x

y= k*x

As given y =-16, x=4 putt in above formula to get value of K

k = -16/4  = -4

Hence also given that ,

y =20

k = -4

x= ?

x= y/k    (using formula)

x =20 / -4

x = -5

To find the height of the new rectangular box, we first need to determine the volume of the original can. The can has a height of 6 inches and a diameter of 4 inches, which means it has a radius of 2 inches. The volume of a cylinder (can) is calculated using the formula V = πr²h.

In this case, V = π(2²)(6) = 24π cubic inches.

Now, we need to find the height of the new rectangular box that has a width of 4 inches and a depth of 2 inches. To maintain the same volume, the formula for the volume of a rectangular prism (box) is V = lwh.

Since we know the volume (24π cubic inches), width (4 inches), and depth (2 inches), we can solve for the height (h):

24π = (4)(2)(h)
24π = 8h

Now, divide both sides by 8:

h = 3π inches

So, the height of the new rectangular box would be 3π inches to maintain the same volume as the original can.

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Yes, even if you don't know how many handshakes there were overall, you can be sure that there were at least two guests who had the same number.

Assume that the gathering will have n visitors. With the exception of oneself, each person may shake hands with n-1 additional individuals. For each guest, this means that there could be 0, 1, 2,..., or n-1 handshakes.

There will be the following number of handshakes if each guest shakes hands with a distinct number of persons (i.e., no two guests will have the same number of handshakes):

0 + 1 + 2 + ... + (n-1) = n*(n-1) divide by 2

The well known formula for the sum of the first n natural numbers . The paradox arises if n*(n-1)/2 is not an integer since we know that the actual number of handshakes must be an integer. The identical number of handshakes must thus have been shared by at least two other visitors.

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The equation which represents a population of 490 animals that decreases at an annual rate of 20% is;

\(P(x)=490(1+0.20)^{x}\)

When the input variable x appears as an exponent in the formula \(P(x)=a b^{x}\) the exponential function is indicated.

The exponential curve is influenced by both the exponential function and thus the value of x.

where, a = initial value.

b = 1 + r (rate of increase or decrease)

The animals' original population is indicated here by: 490

Thus, a = 490

Additionally, 20% is the rate of increase.

So, r = 20%

r = 0.20

As a result, the population function, or the number of animals in a population, is as follows:

\(P(x)=490(1+0.20)^{x}\)

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The minimum number of students who must be chosen is 29.

In the given question we have to find the minimum number of students who must be chosen in order to guarantee that at least eight belong to the same class.

As we know each student is classified as a member of one of the following classes: freshman, sophomore, junior, senior.

The four classes are the pigeonholes. A group of 28 students could have 7 belonging to each class. But if there are 29 students, at least 8 must be members of the same class. Therefore, the minimum number of students who must be chosen is 29.

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The right question is given below:

People hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

Theories of human labor motivation and management include Theory X and Theory Y.

They were invented by Douglas McGregor in the 1950s while he was a faculty member at the MIT Sloan School of Management, and they underwent further development in the 1960s.

Consider work a natural part of life, and come up with creative solutions for workplace issues.

According to Theory X, individuals despise their jobs, desire to escape them, and detest having to be accountable.

According to Theory Y, people are self-driven and enjoy having responsibilities placed on them.

Therefore, people hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.

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5.

since ΔABC = ΔXYZ

x = ∠ACB = 30°

y = 180° - 60° - 30° = 90°

6.

a. ΔABC ≅ ΔADC

b. ΔQRS ≅ ΔTPQ

Answer:

113.1 unit²

Step-by-step explanation:

A cylinder is a shape with two round ends and two parallel lines connecting the round ends.

Height=9  unit, Base=4 unit

The lateral surface area of a cylinder (A) is given by the equation:

\(A=2\pi rh\)

where r is the radius of the cylinder and h is the height of the cylinder.

Given that the base = 4 unit, therefore the diameter (d) = base = 4 unit. Also the height (h) = 9 unit.

Radius (r) = d/2 = 4/2 = 2 unit

Calculating the area of the cylinder is as follows

\(A=2\pi rh\\A=2\pi*2*9\\A=113.1\)

The area of the cylinder is 113.1 unit²

A linear function table  is a table having a constant rate of  change between  its datapoints  

A linear equation is is an equation that consists of each variable raised with a maximum of one degree. the linear equation in terms of variables x and y can be written in the form  of  y = mx + c, where m is the slope and x is the independent variable, and y is the dependent variable when the data points of the given  table are potted in   a graph, we get a straight  line for a linear function table, a such function must  have a constant  slope in between its points

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15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

2 times as much

Step-by-step explanation:

1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes

3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins

200 is twice as much as 100

Answer:

graphing

Step-by-step explanation:

ez

The smaller study conducted by Dr. Shaw using only 40 students to test the reliability and validity of his measures is an example of a pilot study or a feasibility study.

A pilot study is a small-scale preliminary study that is conducted before a larger-scale study to evaluate the feasibility of the research design, data collection methods, and measurement instruments.

It helps researchers identify any potential issues or challenges that may arise in the larger study and allows them to make necessary adjustments or improvements.

In this case, Dr. Shaw is using the pilot study to assess the reliability and validity of his measures in measuring the attitudes of adolescents toward their high school education.

By selecting a smaller sample size, he can gather data on a manageable scale and evaluate the consistency and accuracy of the measures before implementing them in the larger-scale study involving 20,000 adolescents. The pilot study helps ensure that the measures are reliable and valid, increasing the confidence in the results of the subsequent larger study.

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Step-by-step explanation:

let the width be x and length be 4x , as it is 4 times more than width

given,

perimeter = 50 cm

we know,

perimeter = 2l + 2b/w

so,

2l + 2b = 50

after inserting the values we got,

→ 2(4x) + 2(x) = 50

→ 8x + 2x = 50

→ 10x = 50

→ x = 50/10 = 5

→ x = 5

therefore, length = 4x = 4×5 = 20 cm

hope this answer helps you dear....take care and may u have a great day ahead!

Answer:

mperpendicular = −2/5

Step-by-step explanation:

To answer this question, we have:

1. Pattern 1 starts at 0.

2. The rule of pattern 1 is "add 4."

Then, we can write:

• The first term of the pattern 1 = ,0

• The second term of the pattern 1 = 0 + 4 = ,4

• The third term of the pattern 1 = 4 + 4 = ,8

• The fourth term of the pattern 1 = 8 + 4 =, 12

Therefore, we have that:

Pattern 1: 0, 4, 8, 12

1. Pattern 2 stats at 0.

2. The rule of pattern 2 is "add 2."

Then, we can write:

• The first term of the pattern 2 = ,0

• The second term of the pattern 2 is = 0 + 2 = ,2

• The third term of the pattern 2 is = 2 + 2 = ,4

• The fourth term of the pattern 2 is = 4 + 2 = ,6

Pattern 2: 0, 2, 4, 6

If we see both patterns:

Pattern 1: 0, 4, 8, 12

Pattern 2: 0, 2, 4, 6

If we see the two patterns, we can say that:

The terms in Pattern 1 are two times the corresponding term in Pattern 2.

P1 = 2 * P2

That is:

The first term of pattern 1 is two times the first term of pattern 2:

0 = 2 * 0

The second term of pattern 1 is two times the second term of pattern 2:

4 = 2 * 2

The third term of pattern 1 is two times the third term of pattern 2:

8 = 2 * 4

The fourth term of pattern 1 is two times the fourth term of pattern 2:

12 = 2 * 6

In summary, we have that:

Pattern 1: 0, 4, 8, 12

Pattern 2: 0, 2, 4, 6

The terms in Pattern 1 are two times the corresponding terms in Pattern 2.

Answer:

D) 4 < x < 6

Step-by-step explanation:

The interval is decreasing when it is doing down in value  when x is increasing.

The graph is decreasing over the interval between the values of 4 and 6.

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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