Using Newton's Method, determine the first approximation to the solution of:
e^1.5 = 2-4x starting with x=0.
x1 =

201 numbers are less than 2017

If and only if it is odd, a number is the sum of two successive integers.

Only if it is a multiple of 5 is a number considered to be the sum of 5 consecutive integers. If you have any doubts, remember that the product of five consecutive integers equals five times the integer in the middle (this remains true if instead of 5 you put in any odd positive integer).

Consequently, you are seeking odd multiples of 5 below 2017. There are 403 multiples of 5 immediately below 2017, or 2015/5. Of those, 202 are odd. It is necessary to eliminate the number 5 because it is not completely positive when expressed as the sum of its successive integers, which is (-1)+0+1+2+3.

There are 201 numbers left.

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Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. \(\sqrt{2}x= 2r\)    [Diagonal of square = \(\sqrt{2}\)(side)]

i.e. \(r=\dfrac{x}{\sqrt{2}}\)

area of circle =\(\pi r^2\)

i.e. \(56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2\)

\(56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970\)

Hence, the value of x is 5.970.

Answer:

i think it is the second one y=35x

Step-by-step explanation:

when we put for example 2  in place of x it will be

it will y=35*2

y=70 so i believe it is the second one

i am soo sorry if it was wrong

The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

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Answer:

13:00

Make a straight line from the vertex of the current Yuri line to 16:15

Step-by-step explanation:

Answer:

the y intercept are 0,0 the x intercepts are -8 '3

Step-by-step explanation:

remember solpe equal rise over run an m = x2 - x1

over

y2 - y1

Subtract 4 from the y value and add 6 to the x value to get ABC to A'B'C'

Answer:

X(-4, 1)

I(-4,3)

E(-3,3)

Step-by-step explanation:

simply reflect across the x axis.

Answer:

50

Step-by-step explanation:

i just guessed sorry

representing the number on number line a < -1/2

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence.

given that

4(2a+3)<7-2a

firstly solve the equation so now multiply 4 with 2a and 3 .

8a + 12<7-2a

then move -2a to the left side and +12 to right side. then -2a changes to +2a and +12 changes to -12

8a + 2a < - 12 + 7

now add the values on both sides

10a < - 5

now divide the both sides by 10

\( \frac{10}{10} a < - \frac{5}{10} \)

\(a < - \frac{1}{2} \)

so ,

\(a < - \frac{1}{2} \)

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Answer:

1000

Step-by-step explanation:

20,000 divided by 20 is 1,000!

Answer:

n=10

Step-by-step explanation:

5n-20=3n

5n-3n=20

2n=20

n=20÷2

n=10

hope I helped you

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Using given area and base length of a rectangle we got that the height of the given rectangle is 6.5 inches.

Rectangle is closed geometric figure that has four perpendicular sides with opposite sides equal.

The formula for the area of the rectangle :

Area of the rectangle = Length × Breadth

Given that the area of a rectangle is 45.5 square inches.

The base of the rectangle is given 7 inches

To find : Height of the rectangle

Let the base length is the length of the rectangle and height is the Breadth of the rectangle.

Then, Area of the rectangle = Length × Breadth

⇒ 45.5 = 7 × Height

⇒ 45.5 /7 = Height

⇒ 6.5 = Height  of the rectangle

Therefore, the height of the rectangle is 6.5 inches.

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The statements true of the two-dimensional plane sections that could result from one of these slices made by Misha are B, C, D, E, and F.

A. False. The only two-dimensional plane sections that could result from slicing a cube with a plane are squares or rectangles, but not triangles.

B. True. A plane section that is square could result from one of these slices through the cube.

C. True. A plane section that is rectangular but not square could result from one of these slices through the cube.

D. True. A plane section that is triangular could result from one of these slices through the pyramid.

E. True. A plane section that is square could result from one of these slices through the pyramid.

F. True. A plane section that is rectangular but not square could result from one of these slices through the pyramid.

Therefore, the correct statements are B, C, D, E, and F.

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Answer:

Step-by-step explanation:

(a) The ratio of adjacent terms is ...

  x^4/x^2 = x^2

The common ratio is x^2.

__

(b) For a geometric sequence with ratio r and first term "a", the sum to infinity is ...

  S = a/(1 -r)

Here, we have ...

  1/3 = x^2/(1 -x^2) . . . . fill in given values for a, r, S

  1 -x^2 = 3x^2 . . . . . cross multiply

  1/4 = x^2

  x = √(1/4)

  x = ±1/2

Debble uses 8 ounces of apples to make one serving of applesauce.

12 servings of applesauce can she make with 6 pounds of apples.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Debble uses 8 ounces of apples to make one serving of applesauce.

There are 16 ounces in 1 pound

1 ounce = 1/16

8 ounces = 1/16 x 8

 = 0.5 pounds

8 ounces of apples to make one serving of applesauce.

0.5 pounds apples = 1 serving of applesauce.

1 pound of apples = 1 / 0.5 serving of applesauce.

6 pounds of apples =

= \(\frac{1}{0.5} \times 6\\\\\frac{60}{5}\\ \\12\)

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Answer:

2

Step-by-step explanation:

\(12x^2+5x-2=\\\\(4x-1)(3x+2)\)

You can check this by working backwards and expanding:

\((4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2\)

Hope this helps!

The two most commonly used measures of variability are variance and standard deviation.

1. Variance: Variance measures how spread out a set of data points is from the mean. It calculates the average of the squared differences between each data point and the mean. The formula for variance is sum of squared differences divided by the number of data points.

Example: Let's say we have a set of data points: 2, 4, 6, 8, and 10. The mean of these data points is 6. The differences between each data point and the mean are: -4, -2, 0, 2, and 4. Squaring these differences gives us: 16, 4, 0, 4, and 16. The sum of these squared differences is 40. Dividing this sum by the number of data points (5) gives us a variance of 8.

2. Standard Deviation: Standard deviation is the square root of variance. It measures the average distance between each data point and the mean. Standard deviation is often preferred over variance because it is in the same unit as the data points, making it easier to interpret.

Example: Using the same set of data points as above, the variance is 8. Taking the square root of 8 gives us a standard deviation of approximately 2.83.

In summary, variance measures how spread out the data points are from the mean, while standard deviation gives us a more intuitive understanding of the variability by providing a measure in the same unit as the data points. These measures help us understand how the data is distributed and how much it deviates from the average.

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Use the formula of Area of rectangle

which is

\(length \times breadth \: (l \times b)\)

The two widely used metrics of variation are the coefficient of variation (CV) and the standard deviation (SD).

Coefficient of variation (CV) is a measure of relative variation and is often used to compare variation between populations or groups with different means. It is calculated as the ratio of the standard deviation to the mean, multiplied by 100 to express the result as a percentage. It's a dimensionless value, which means it can be used to compare the variation of different variables that are measured in different units.

Standard deviation (SD) is a measure of the amount of variation or dispersion of a set of values. It is calculated as the square root of the variance, which is the average of the squared differences from the mean. Standard deviation is a measure of absolute variation and is typically used to describe the spread of data within a single population or group.

Both of these metrics are important in understanding the variation within a population, with the CV being useful in comparing different groups and SD being used to describe the spread of data within a single group.

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Answer:

A

Step-by-step explanation:

876 divided by 43 = 20

and the remainder is 16

in the case of other options, the quotients are correct but the remainders are wrong.

Therefore, A is the option with both correct quotient and remainder.

If I were dealing with a data set that fluctuates quarterly, I would recommend using autoregressive models.

option (b) is correct

This is because autoregressive models take into account the pattern of the previous values to predict future values. Simple moving averages and exponential smoothing are better suited for data sets with more consistent trends, while the random walk is not an ideal method for forecasting as it assumes that future values will be equal to the previous value with no pattern or trend. Therefore, autoregressive models would be the most appropriate method for forecasting a quarterly fluctuating data set.

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

The correct answer is 3/4 meters.

Step-by-step explanation:

-We know that the area is 3/8 square meters

-And that the length is 1/2 meters

We need to find out what the width is.. But how?

Remember that, length x width is the key to finding the Area.
L x W = A

If we divide the Area by Length, we can find the missing width to this equation.

3/8 divided by 1/2
= 3/4

The solution of the system of equation y - 10 = 2x and 1/2 y = x + 5 is

The simultaneous equation is solved by substitution method as follows

y - 10 = 2x and

1/2 y = x + 5

Isolate y in the first equation to get

y = 2x + 10

substitute y in 1/2 y = x + 5

1/2 (2x + 10) = x + 5

x + 5 = x + 5

x = 0

substitute x = 0 into y = 2x + 10

y = 2(0) + 10

y = 10

hence the solution is (0, 10)

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Answer:

8 and 5/8 miles

Step-by-step explanation:

The experimental probability of spinning a number less than 5 is 60%, while the theoretical probability is also 60%.

Experimental probability is determined by conducting actual experiments or observations and counting the favorable outcomes. In this case, the relative frequency of spinning a number less than 5 is given as 0.6, which translates to 60%.

Theoretical probability, on the other hand, is calculated based on the assumption of equally likely outcomes. Since there are 10 equally likely outcomes when spinning a number, out of which 6 are less than 5 (i.e., 1, 2, 3, and 4), the theoretical probability can be calculated as the ratio of favorable outcomes to the total number of outcomes:

Theoretical probability = (Number of favorable outcomes) / (Total number of outcomes)

Theoretical probability = 6 / 10 = 0.6 = 60%

Therefore, both the experimental and theoretical probabilities for spinning a number less than 5 are 60%.

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Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem