It’s kinda easy but I wanna make sure it’s right pls help if you can

Answer:

81 & 100

Step-by-step explanation:

97 lies between 81 and 100, so its square root lies between 9 and 10.

Answer:

97 lies between 81 and 100, so its square root lies between 9 and 10.

Step-by-step explanation:

To find the number of ways to get from point A to point B on a system of roads without visiting any of the 9 intersections more than once, we can use the concept of permutations.

Let's assume that there are n intersections between points A and B. In this case, there are (n+1) possible locations where you can start, including A and the n intersections. To calculate the number of ways, we can start at any of these (n+1) locations and then choose a different intersection at each step until we reach point B.  At the first intersection, we have n options to choose from. At the second intersection, we have (n-1) options, and so on, until we reach the last intersection before point B, where we have 1 option remaining.

To find the total number of ways, we can multiply the number of options at each step Total number of ways = n * (n-1) * (n-2) * ... * 1 = n! For example, if there are 9 intersections between A and B, there are 10 possible locations to start. The total number of ways would be 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880 ways to get from A to B without visiting any of the intersections more than once. In summary, the number of ways to get from A to B without visiting any of the 9 intersections more than once is 362,880.

To know more about number visit :

https://brainly.com/question/3589540

#SPJ11

The question relates to Eulerian Path in graph theory that visits every edge (or intersection) exactly once in a network (or road system). A definitive answer depends on the layout and connections between intersections.

The number of ways to get from point A to point B without visiting any of the 9 intersections more than once is a problem related to graph theory in Mathematics. Graph theory studies paths, routes, and networks, and has a broad range of applications from road design to computer network architecture.

The problem you're asking about is often referred to as the Eulerian Path problem, named after the mathematician Leonhard Euler. An Eulerian Path is a path in a graph (or city road network) that visits every edge (or intersection) exactly once.

However, to give a definite answer, one would need a clearer picture of the situation, that is, how the intersections are laid out and connected. If all intersections are connected in such a way that you can form a continuous path without any isolation, then multiple solutions may exist.

https://brainly.com/question/34599023

#SPJ11

Answer:

I recommend using a graph that can help. For slope afind two solid points and make it a fraction. Y intercept is where it passes through the y axis.

Step-by-step explanation:

Answer:

7 ( b + 4 ) = 9

Step-by-step explanation:

Let the number be = b

It is given that the :

The number is added to 4.

And the value is equal to 9 when it is 7 times the sum of the number, b and 4.

Thus according to the question, the sentence can be translated in equation form as :

7 ( b + 4 ) = 9

Thus in other word, we can say that the addition of (b + 4) when it is multiplied for 7 times, we get the result as 9.

The only possible values of c that would make the vectors v and w orthogonal are the square roots of 35 and their negatives.

To find the values of c that make v and w orthogonal, we need to use the dot product formula:
v · w = (1)(1) + (6)(-6) + (c)(c) = 1 - 36 + \(c^2\)
We know that v and w are orthogonal when their dot product is equal to 0. So, we can set the equation we just formed equal to 0 and solve for c:
1 - 36 + \(c^2\) = 0
\(c^2\) = 35
c = ± √35
Therefore, the values of c that make v and w orthogonal are √35 and -√35. We can write the answer as a comma-separated list:
c = ± √35

To learn more about orthogonal, refer:-

https://brainly.com/question/31851340

#SPJ11

To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

To know more about equivalent visit :

https://brainly.com/question/25197597

#SPJ11

Answer:

y = - 9x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

Answer:

about 2,546

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation:

There is no effect between flipping a coin and chosing a number.

This situation is known as a independent event.

P(AnB) = P(A)*P(B)

The situation A = Heads or tails of money = 1/2

The situation B = 6/8

It can be calculated as below:

Probability = Desired / All Event

Desired || Numbers between 3 and 10 are : 4,5,6,7,8,9 = 6 pieces

All Event || Numbers between 1 and 10 are : 2,3,4,5,6,7,8,9 =8 pieces

Consequently product the fractions.

1/2 * 6/8 = 6/16 = 3/8

The system of linear equations has no solutions for any value of k except when k = 2, where it has infinitely many solutions.

(a) To reduce the augmented matrix for the system of linear equations to row-echelon form, we can write the system of equations as:

2 - y = kx

-y = k

To eliminate y in the first equation, we can multiply the second equation by (-1) and add it to the first equation:

(2 - y) - (-y) = kx - k

2 = kx - k

This gives us a new system of equations:

2 = kx - k

Now, we can represent this system in augmented matrix form:

[1 -k | 2]

(b) To find the values of k, we can examine the augmented matrix.

If the system has no solutions, it means that the rows of the augmented matrix result in an inconsistent equation, where the last row has a leading nonzero entry. In this case, for the system to have no solutions, the augmented matrix should have a row of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix [1 -k | 2] doesn't have this form, so there are no values of k that lead to no solutions.

If the system has exactly one solution, the augmented matrix should be in row-echelon form, with each row having at most one leading nonzero entry. In this case, the augmented matrix should not have any rows of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix can be reduced to row-echelon form as follows:

[1 -k | 2]

From this form, we can see that there are no restrictions on the value of k. For any value of k, the system will have exactly one solution.

If the system has infinitely many solutions, the augmented matrix should have at least one row of the form [0 0 | 0]. In our case, the augmented matrix can be reduced to:

[1 -k | 2]

From this form, we can see that if k = 2, the last row becomes [0 0 | 0]. Therefore, for k = 2, the system will have infinitely many solutions.

For more such questions on linear equations

https://brainly.com/question/12974594

#SPJ8

Explanation:

The probability of picking red is 0.13

The probability of picking orange is 0.20

The probability of picking either of these is 0.13+0.20 = 0.33

So the probability of picking neither of them is 1 - 0.33 = 0.67

There's a 67% of this happening.

Answer:

0.34

Step-by-step explanation:

because the probability of red is 20 and the probability of orange is 14 20 + 14 is 34.

The first 5-terms of sequence "aₙ = (-1)ⁿ⁻¹/4ⁿ" are : a₁ = 1/4, a₂ = -1/16, a₃ = 1/64, a₄ = -1/256, a₅ = 1/1024.

A sequence is a ordered collection of elements, typically numbers, that are arranged in a specific order. Each element in a sequence is associated with a positive integer index, denoted as n, which represents its position in the sequence.

To find the first 5-terms of the sequence given by the formula aₙ = (-1)ⁿ⁻¹/4ⁿ, we substitute the values of n from 1 to 5:

For n = 1:

a₁ = (-1)¹⁻¹/4¹ = 1/4,

For n = 2:

a₂ = (-1)²⁻¹/4² = -1/16,

For n = 3:

a₃ = (-1)³⁻¹/4³ = 1/64,

For n = 4:

a₄ = (-1)⁴⁻¹/4⁴ = -1/256,

For n = 5:

a₅ = (-1)⁵⁻¹/4⁵ = 1/1024,

Therefore, the first five terms are: 1/4, -1/16, 1/64, -1/256, 1/1024.

Learn more about Sequence here

https://brainly.com/question/31399108

#SPJ4

The given question is incomplete, the complete question is

List the first five terms of the sequence. aₙ = (-1)ⁿ⁻¹/4ⁿ.

After four hours, the height of the candles will be the same.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.

Let x be the number of hours and y be the height.

y = -0.70x + 8           ...1

y = -0.20x + 6             ...2

From equations 1 and 2, then we have

- 0.20x + 6 = - 0.70x + 8

(0.70 - 0.20)x = 8 - 6

0.50x = 2

x = 4 hours

After four hours, the height of the candles will be the same.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer:

Step-by-step explanation:

On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.

The slope of the line that is these data is 0.03 or 3/100

The correct option is (B).

The slope of a line is a measure of its steepness.

Given that:

Time              Distance

50                       1.5

200                      6

350                    10.5

400                      12

650                    19.5

Let us take,

\(x_1\)=1.5, \(x_2\)= 6, \(y_1\)= 50, \(y_2\)= 200

Slope of line, m= Δy/Δx

                       m=  \(x_2\)- \(x_1\)/ \(y_2\)-  \(y_1\)

                       m=6-1.5 /200-50

                       m=4.5 /150

                       m= 45/1500= 3/100

                      m=0.03

Hence, slope of line is= 0.03

Learn more about slope of line here:

https://brainly.com/question/16180119

#SPJ2

A $560 investment compounded annually at a rate of 9% per year will take approximately 7.97 years to double, resulting in a final amount of $1,120.

To determine how long it will take for the investment to double, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

In this case, the initial investment (P) is $560, the annual interest rate (r) is 9% (0.09 as a decimal), and the final amount (A) is $1,120 (double the initial investment).

Plugging in these values, we have:

1,120 = 560(1 + 0.09/n)^(n*t)

To solve for t, we need to choose a value for n. Since compounding is done annually, we can set n = 1:

1,120 = 560(1 + 0.09/1)^(1*t)

1,120 = 560(1 + 0.09)^t

Dividing both sides by 560:

2 = (1 + 0.09)^t

Taking the logarithm of both sides:

log(2) = t * log(1 + 0.09)

Solving for t:

t = log(2) / log(1.09)

Using a calculator, we find:

t ≈ 7.97 years

Therefore, it will take approximately 7.97 years (rounded to 2 decimal places) for the investment to double.

For more such question on investment. visit :

https://brainly.com/question/29227456

#SPJ8

Answer:

16π

Step-by-step explanation:

because circumstance is given by πD where D is diameter, therefore, 16π

Answer:

c=

\(2\pi \times r\)

r=d/2

=16/2

=8

c=2×3.14×8

c= 50.27

Step-by-step explanation:

To change diameter to radius, it should be divided by 2

The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.

we calculate the initial condition: y(0) = -2.

1. we evaluate the derivative at t = 0 and y = -2:

y' = 3(0) - 10(-2)² = -40

Next, we update the values using the Euler method:

t₁ = 0 + 0.5 = 0.5

y₁ = -2 + (-40) * 0.5 = -22

2. y' = 3(0.5) - 10(-22)² = -14,860

Updating the values:

t₂ = 0.5 + 0.5 = 1

y₂ = -22 + (-14,860) * 0.5 = -7492

3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9

Updating the values:

t₃ = 1 + 0.5 = 1.5

y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9

Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

Learn more about  Euler method here:

https://brainly.com/question/30459924

#SPJ11

6=30

12=60

15=80

Step-by-step explanation:

for 6 mini she will use 30 pepperoni slices

if she uses 60 pepperoni slices =12 mini

for 16 mini she will use 80 pepperoni slices.

For confirmation use the graph table.

Answer:

50,0

Step-by-step explanation:

So we know 500×100=50,000

So it's 50,000

Answer: 5 feet and 7 inches

Step-by-step explanation: Multiply 12 by 5 to get 60 and add 7 because 12 inches are in a foot. :}

The horizontal ground distance between the person and the plane is 6174.5 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the horizontal ground distance between the person and the plane.

tan(39) = 5000 / d

d = 6174.5 feet

The horizontal ground distance between the person and the plane is 6174.5 feet

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

To know more about Fundamental Theorem of Calculus:

https://brainly.com/question/30761130

#SPJ4

____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

The measure of dispersion that reflects the aggregate or total dispersion of a distribution is the range. However, while the range can provide a quick estimate of the spread of the data, it is not as reliable as other measures of dispersion, such as the variance and standard deviation, which take into account the distribution of values in the data set.

In statistics, dispersion refers to the degree to which the data in a distribution is spread out or varies.  These measures include the range, variance, and standard deviation. There are several measures of dispersion that help to quantify how much the values in a data set deviate from the central tendency or the average. The range is the difference between the largest and smallest values in a data set. It is a simple measure of dispersion that provides a quick and easy way to assess the variability of a distribution. However, it is not as reliable as other measures of dispersion, such as the variance and standard deviation, because it only takes into account the two extreme values.

The range can be useful in situations where a quick estimate of the spread of the data is needed, but it has some limitations. For example, the range is affected by outliers or extreme values in the data set, which can skew the results. Additionally, the range does not consider the distribution of values between the highest and lowest values, which can result in misleading conclusions about the variability of the data.

On the other hand, the variance and standard deviation are more reliable measures of dispersion that take into account the distribution of values in the data set. The variance measures the average squared deviation from the mean, while the standard deviation is the square root of the variance. These measures provide a more accurate reflection of the overall dispersion of the data and are widely used in statistical analysis.

For more such questions on Measures of dispersion.

https://brainly.com/question/29598564#

#SPJ11

Answer:

87.5

Step-by-step explanation:

Area = 11+7

             ---  x 7

              2

OR

Area = a+b/2 x h