A particle moves along the x-axis so that at any time r its position is given by x(1) = te" For what
values of t is the particle at rest?

Are you sure you've written the problem right...it says x can not equal 0 or 1

Answer:

C -2,1 or 3 0nly

Step-by-step explanation:

Just did it mark it brainliest

Answer:

Step-by-step explanation: infinitely many solutions (please give brainliest)

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

The option that describes h(x) is B. The function h(x) is increasing on the interval (5, ∞).

In mathematics, a function simply means a relation between the inputs and the outputs.

In this case, the information given is that h(x) is 2 times the square root x minus 5. The square root of the negative number cannot be taken, therefore, the domain of the function is restricted.

Since the domain is restricted, the function is increasing. Therefore, the function h(x) is increasing on the interval (5, ∞).

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Answer:

The function h(x) is increasing on the interval (5, ∞).

Step-by-step explanation:

I got it right on the test.

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

Answer:

decrease of 38% (to nearest percent)

Step-by-step explanation:

Percent change = [ (difference between final and initial value) ÷ initial value] x 100

⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Volume of a cube: side length ^3

Since side length : 3 in

Replacing with the value given:

V= 3^3 = 27 in3

Volume= 27 cubic inches

Answer: $25734.4

Step-by-step explanation:

The following information can be gotten from the question:

Amount loaned = $16000

Time = 6 years

Interest rate = 8%

We then calculate the number of period that'll be used to repay the loan. It should be noted that the interest is compounded quarterly This will be:

= 4 × 6

= 24 periods

Rate per period annually will be:

= 8%/4

= 2%

The future table value will give a value of 1.6084 which will then be multiplied by $16,000 to get our answer. This will be:

= 1.6084 × $16,000

= $25734.4

The amount of money Lee would receive at the end of 6 years is $25,735.

The formula that can be used to determine the amount of money that Lee would receive at the end of 6 years is:

FV = P (1 + r)^nm

$16,000 x (1.02)^24 = $25,735

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Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

the radius of of circle V is 2

XZ is the diameter of circle Y (bigger circle)

UW is the diameter of circle V (smaller circle)

We are to find the radius of the smaller circle. To find the radius, we use the formula relating diamter to radius:

Diameter = 2(radius)

UW = 4, diameter =4

4 = 2(radius)

radius = 4/2

radius = 2

Hence, the radius of of circle V is 2

Answer:

0.0800

Step-by-step explanation:

Answer:

\(0.0769\) rounded to the nearest hundred is: \(0.08\)

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place.

Hope this helps you!

x=25,y=15 Not to sure abt this answer but I think I got it

Answer:

x = -1

Step-by-step explanation:

To solve this, we want to isolate x:

9 - 15x = 28 + 4x

Subtract 9 from both sides:

-15x = 19 + 4x

Subtract 4x from both sides:

-19x = 19

Divide both sides by -19:

x = -1

Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.

A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages ​​are:

L1, which has exactly one "a" but any number of "bs".

L2, which has an odd number of "as" and an even number of "bs".

L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.

L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".

L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.

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Answer:

the unanswered side is 3

Step-by-step explanation:

5^2(25)-4^2(16)=9

9=3^2

The most appropriate choice for equation of line in slope intercept form will be given by-

\(y = -\frac{1}{2}x - 4\)  is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

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

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

The given equation of line is y = 2x-5

Slope of this line = 2

Slope of the line perpendicular to this line = \(-\frac{1}{2}\)

The line passes through (2 , -5)

Equation of the required line = \(y - (-5) = \frac{1}{2}(x - 2)\)

                                                    \(y +5=-\frac{1}{2}x+1\\y = -\frac{1}{2}x +1 -5\\y = -\frac{1}{2}x -4\)

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To find the height of the ball the 5th time it goes up the cylinder we just need to plug n=5 in the expression given:

Therefore, the height the ball reaches the 5th time it goes up is 1/2 inches (or 0.5 inches in decimal form)

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Given:

Summation problem is:

\(\sum\limits_{n=1}^{35}n(n^2+1)\)

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

\(\sum\limits_{n=1}^{35}n(n^2+1)\)

In can be rewritten as:

\(\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n\)        \(\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right]\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}\)  \(\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right]\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=396900+630\)

\(\sum\limits_{n=1}^{35}n(n^2+1)=397530\)

Therefore, the properties and formula used are:

\(\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\)

Answer: see attachment below

Step-by-step explanation:

Answer:

Gradient normal x gradient tangent = -1 is a mathematical expression that relates the normal and tangent vectors of a curve in three-dimensional space. The gradient of a scalar function is a vector that points in the direction of the greatest rate of increase of the function. The normal vector is perpendicular to the surface defined by the function, and the tangent vector is a vector that lies on the surface and points in the direction of the curve.

In mathematics, the cross product of two vectors is a vector that is orthogonal to both vectors, and the magnitude of the cross product is equal to the product of the magnitudes of the two vectors multiplied by the sine of the angle between them. In this case, the normal and tangent vectors of a curve form an orthogonal basis, meaning that they are perpendicular to each other. The expression gradient normal x gradient tangent = -1 says that the magnitude of the cross product of the normal and tangent vectors is equal to -1. This means that the normal and tangent vectors form a right-handed coordinate system, where the cross product is negative because the normal vector points in the opposite direction to the positive z-axis.

Answer:

13/20

Step-by-step explanation:

Answer:

65/100

Step-by-step explanation:

65/100 because if you try to divide it by 2 u get 32.5

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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The bearing of the plane to the nearest degree is 357°, which is answer choice (c).

What is vector addition?

Vector addition is the operation of adding two or more vectors together into a vector sum. The so-called parallelogram law gives the rule for the vector addition of two or more vectors. For two vectors, the vector sum is obtained by placing them head to tail and drawing the vector from the free tail to the free head.

To find the bearing of the plane, we need to determine the direction in which it is traveling with respect to the true north. To do this, we need to use vector addition to combine the velocity of the plane with the velocity of the wind.

Let's break down the velocity vectors into their north-south and east-west components, using positive directions to the north and east.

The airspeed of the plane is 213 mph due south, so its velocity vector can be written as:

Vp = (0, -213)

The wind velocity is 16 mph at a direction of 52.0°. We can find its components using trigonometry:

Vw,x = 16 cos(52.0°) = 10.91 mph to the east

Vw,y = 16 sin(52.0°) = 12.18 mph to the south

So the wind velocity vector is:

Vw = (10.91, -12.18)

To find the total velocity vector of the plane relative to the ground, we can add the velocity vectors of the plane and the wind:

Vtot = Vp + Vw

Vtot = (0 + 10.91, -213 - 12.18)

Vtot = (10.91, -225.18)

The direction of the total velocity vector, measured from true north, can be found using the arctangent function:

θ = arctan(Vtot,x / Vtot,y)

θ = arctan(10.91 / -225.18)

θ ≈ -2.8°

Since the result is negative, this means the direction is to the left of true north. We can convert this to a bearing by adding 360° to get the positive equivalent:

θ = 360° + θ

θ ≈ 357.2°

Therefore, the bearing of the plane to the nearest degree is 357°, which is answer choice (c).

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Using error concepts, it is found that in this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.

Hence:

In this problem, a type I error would be finding an innocent person guilty, while a type II error would be finding a guilty person innocent.

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Answer:

114.29

Step-by-step explanation:

Answer:

k = 5

Step-by-step explanation:

8(k + 3) = 12k - 4

8k + 24 = 12k - 4

20 = 4k

k = 5

Answer: -24

Step-by-step explanation:

8(k+3)=12-4k

8k+24=12-4k

8k+24=8k

Subtract 24 for both sides

8k=8k-24

Subtact 8 to get rid of k

-24

The percentage of total variation in the dependent variable that is described by the independent variable is expressed by coefficient of determination . So, correct answer is option (a).

The coefficient of determination R² is equal to the square of the correlation coefficient, r² expressed as a percentage, represents the percentage of variation in the dependent variable y that can be explained by variation in the independent variable x using the regression line. Coefficient of determination is a statistical measure that examines how differences in one variable can be explained by differences in her second variable. In other words, this coefficient, commonly known as R-squared (or R²), measures how strong the linear relationship between two variables is. This coefficient is commonly known as the R-square (or R²) and is sometimes called the "goodness of fit". This measurement is expressed as a value between 0.0 and 1.0..

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