How is the product 8 × 1.35 greater than 8

If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

Learn more about intermediate value theorem here

brainly.com/question/29712240

#SPJ4

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

Learn more about theory here:

brainly.com/question/18996125

#SPJ2

Answer:

\(3x - 4y + z = 1\)

Step-by-step explanation:

Given

\(Point\ 1 = (4,3,1)\)

\(Point\ 2 = (4,1,-7)\)

Perpendicular to \(8x + 7y + 4z = 18\)

Required

Determine the plane equation

The general equation of a plane is:

\(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

For \(n = <a,b,c>\)

\((x_1,y_1,z_1) = (4,3,1)\)

\((x_2,y_2,z_2) = (4,1,-7)\)

First, we need to determine parallel vector \(V_1\)

\(V_1 = <x_1 - x_2, y_1 - y_2, z_1 - z_2>\)

\(V_1 = <4 - 4, 3 - 1, 1 - (-7)>\)

\(V_1 = <0,2,8>\)

\(V_1\) is parallel to the required plane

From the question, the required plane is perpendicular to \(8x + 7y + 4z = 18\)

Next, we determine vector \(V_2\)

\(V_2 = <8,7,4>\)

This implies that the required plane is parallel to \(V_2\)

Hence: \(V_1\) and \(V_2\) are parallel.

So, we can calculate the cross product \(V_1 * V_2\)

\(V_1 = <0,2,8>\)

\(V_2 = <8,7,4>\)

\(n = V_1 * V_2\)

\(V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]\)

The product is always of the form + - +

So:

\(V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]\)  \(-j\left[\begin{array}{cc}0&8\\8&4\end{array}\right]\) \(+k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]\)

Calculate the product

\(V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)\)

\(V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)\)

\(V_1 * V_2 = i(-48) - j(- 64) + k(- 16)\)

\(V_1 * V_2 = -48i +64j - 16k\)

So, the resulting vector, n is:

\(n = <-48,64,-16>\)

Recall that:

\(n = <a,b,c>\)

By comparison:

\(a = -48\)   \(b = 64\)   \(c = -16\)

Substitute these values in \(a(x-x_1) + b(y - y_1) + c(z-z_1) = 0\)

\(-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0\)

Recall that:\((x_1,y_1,z_1) = (4,3,1)\)

So, we have:

\(-48(x-4) + 64(y - 3) -16(z-1) =0\)

\(-48x + 192 + 64y -192 - 16z +16 = 0\)

Collect Like Terms

\(-48x + 64y - 16z = 0 - 192 + 192 - 16\)

\(-48x + 64y - 16z = -16\)

Divide through by -16

\(3x - 4y + z = 1\)

Hence, the equation of the plane is\(3x - 4y + z = 1\)

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

To Know more about variables, visit:

https://brainly.com/question/17344045

#SPJ1

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Using the normal distribution, there is a 0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 2.5, \sigma = 0.5\).

The probability that a randomly selected cyclist will take between 2.35 and 2.45 hours is the p-value of Z when X = 2.45 subtracted by the p-value of Z when X = 2.35, hence:

X = 2.45:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2.45 - 2.5}{0.5}\)

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

X = 2.35:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2.35 - 2.5}{0.5}\)

Z = -0.3

Z = -0.3 has a p-value of 0.3821.

0.4602 - 0.3821 = 0.0781.

0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer: 63%

Step-by-step explanation:

First step

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

\(\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37\)

x = 37%

Second step - Survival rate

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

To change from hectometer to decameter multiply by 10

9.6 x 10 = 96

answer: 96 decameters

Answer:

96 dac.

Step-by-step explanation:

Multiply 9.6 with 10

Answer:

y = 155

Step-by-step explanation:

6x + 1 = 2x + 17

x = 4

2 · 4 + 17 + y = 180

y = 155

I hope that this helps!!

Answer:

9/4 or mixed number 2 1/4

Step-by-step explanation:

convert it

36x^-4*0.5^4*x4

simplify it

36x^-4*1/16x^4

calculate

9x^-4*1/4x^4

= 9/4

hope this helps:))

Answer:

\(10^{2}\)

Step-by-step explanation:

\(10^{6} /10^{4}\)

=> \(10^{2}\)

Proof,

10 * 10 * 10 * 10 * 10 * 10 / 10 * 10 * 10 * 10

4 ten's cancel each other, leaving behind 2 ten's, and,

10 * 10 is the same thing as \(10^{2}\)

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

To know more about function click-
http://brainly.com/question/25841119
#SPJ1

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

help me to answer the question

Answer:

See below

Step-by-step explanation:

Similar to your other question ...the x,y coordinates change to ( y,-x)

5,-2     5,-4     4,-4        4,-3      2,-3      2-2    

The interquartile range of the stem and leaf plot is 6.

The table given is a stem and leaf plot. A stem and leaf plot is a table that divides a number into a stem and a leaf. The stem is the tens digit and the leaf is the unit digit.

The interquartile range is the difference between the third quartile and the first quartile.

Third quartile = 3/4(n + 1) = 61

First quartile = 1/4 x (n + 1) = 55

Interquartile range = 61 - 55 = 6

To learn more about interquartile range, please check:  https://brainly.com/question/3966385

#SPJ1

The lines are not parallel and the slope of the lines is 3 and intercept is 1

Two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

In the two equations

2y = 6x+ 3

divide both sides by 2

y = 3x+1

This means that the slope of the line is 3.

And also in equation y = 3x+1. The slope of the line here is also 3.

Though both lines have the same slope but they have thesame y-intercept which is 1. Therefore the two lines are not parallel.

The slope of the equations is 3 and the intercept is 1

learn more about parallel line equation from

https://brainly.com/question/13763238

#SPJ1

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Answer:

Hey dear mate!!. Here's is ur answer ^____^.   ✔this is Becoz of " both have low elevation ".  Dear:( hope its helps ☺

Step-by-step explanation:

its both have low elevation

10a- 41

Step-by-step explanation:

shaded area of the figure

=(a+4) (a-4) - (a-5)2

=a2 -16 - (a2-10a+25)

=a2 - 16 - a2 +10A-25

=10a- 41

Answer:

s = 3

Step-by-step explanation:

-6 = s - 9

Seap sides and so that all variable terms are on the left hand side.

s - 9 = -6

Add 9 to both sides.

s = -6 + 9

Add -6 and 9 to get 3.

s = 3

Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.

The difference between the two figures or numbers is the result of a subtraction operation.

A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).

Thus, Amy's next step is a subtraction operation to find the difference.

Learn more about subtraction operations at https://brainly.com/question/4721701

#SPJ1

Answer:

13 years

Step-by-step explanation:

Answer:

30,000

Step-by-step explanation:

hope this helps!!!

Answer:

26.7

Step-by-step explanation:

1 bag = 5.3 minutes

5.3 X 5 = 26.7

(5,26.7)

Have a great day!

Please rate and mark brainliest!