determine whether the following series converges or diverges. ∑n=1[infinity](−1)n 14n4 8

Answer:

44%

Step-by-step explanation:

60%-16% the answer is up ahead.

We need to find the inequality for the given line.

An empty circle means that x doesn't take that value.

So the empty circle is on -4 and the arrow continues to infinitive.

Hence, x take is given by the next inequality:

x<-4

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

The equation of the line in slope intercept form is y=-2/3+7

What is slope intercept form?

You should understand that the slope intercept form of a straight line is one of the most common forms used to represent the equation of a line.

The slope intercept form is used to find the y-intercept and the slope of a straight line

The equation of the line in slope intercept form is written as follows:

y=mx + b

where;

m= slope and

b = y-intercept

Here, m= -2/3 and b = 7

By substitution, the equation is written thus y=-2/3x + 7

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Answer:

DONT PRESS THAT ITS A VIRUS AND HACK ILL REPORT

Step-by-step explanation:

HOPE THIS HELPS YOU REMEMBER NOT TO PRESS THESE LINKS!

Answer:

it is AD l l DC so ots B

Step-by-step explanation:

Answer

If the line segment AB is parallel to the line segment DC then, m∠1=m∠D by corresponding angles.

Congruence and similarity tests in geometry involve comparing corresponding sides and angles of polygons.

Each side and angle in one polygon is paired with a side or angle in the second polygon, with the order of adjacency preserved.

One is an exterior angle (beyond the parallel lines), while the other is an interior angle (inside the parallel lines).

Corresponding angles and transversal lines are defined. Corresponding angles are a subset of angle pairs. Angles on the opposite side of the transversal are referred to as alternate angles.

If line segment AB is parallel to line segment DC,

m∠1=m∠D, by corresponding angles

If line segment AD is parallel to line segment BC,

m∠3=m∠B, by corresponding angles

Thus, this can be concluded regarding the given scenario.

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Answer:

8/3

Step-by-step explanation:

Slope:  

8 /3

y-intercept:  

( 0 , − 1 /3 )

Step-by-step explanation:

Answer:

8.333333333333333

Step-by-step explanation:

Answer:

25/3 - Or in a simpler form 8 1/3

Step-by-step explanation:

I multiplied 15 by 5/9. I hope this helps :)

Answer:

C.) 16.86 degrees

Step-by-step explanation:

Tan = opposite over adjacent

10/33

arctan(10/33)

C.) 16.86 degrees

Answer:

I think its 13 but im not possitive

Step-by-step explanation:

I would double check :}

The second derivative of the vector-valued function vec(r)(t) = (5t + 3sin(t))vec(i) + (5t + 6cos(t))vec(j) is vec(r)"(t) = (5 - 3cos(t))vec(i) - (5 + 6sin(t))vec(j).

To find the second derivative of a vector-valued function, we differentiate each component of the function separately with respect to t.
Given vec(r)(t) = (5t + 3sin(t))vec(i) + (5t + 6cos(t))vec(j), we differentiate each component:
d/dt (5t + 3sin(t)) = 5 - 3cos(t)  (for the x-component)
d/dt (5t + 6cos(t)) = 5 + 6sin(t)  (for the y-component)
The second derivative of vec(r)(t) is obtained by differentiating the x-component and y-component once more:
d/dt (5 - 3cos(t)) = 3sin(t)  (for the x-component)
d/dt (5 + 6sin(t)) = 6cos(t)  (for the y-component)
Therefore, the second derivative of vec(r)(t) is vec(r)"(t) = (5 - 3cos(t))vec(i) - (5 + 6sin(t))vec(j).
The resulting second derivative is a vector function that describes the acceleration of the particle at each point in time.

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Answer:

any equation that has the same slope as the original line (3/5x)

Step-by-step explanation:

examples:

y= 3/5x + 5

y= 3/5x - 3

Answer:

the 3x +7 I think?

Step-by-step explanation:

correct me if I'm wrong

Answer:

DVvddhsajmsmzmzmxmxmx

Step-by-step explanation:

Answer:

infinite

Step-by-step explanation:

\(\\ \sf\longmapsto 4(4x-2)+1=16x-7\)

\(\\ \sf\longmapsto 16x-8+1=16x-7\)

\(\\ \sf\longmapsto 16x-7=16x-7\)

\(\\ \sf\longmapsto 0=0\)

this may help you with your question

Answer: The inverse function is y=1/5x, which is option C).

Step-by-step explanation:

y=5x

x=5y

y=x/5

y=1/5x

Answer:

solution in attachment

hope it helps

The probability that a lightbulb will last between 1,950 and 2,050 hours is 0.84, or 84%.

To solve this problem, we need to find the probability that the lifespan of a lightbulb will fall between 1,950 and 2,050 hours.

First, we need to standardize the distribution using the z-score formula:

z = (x - μ) / σ

where x is the value we are interested in, μ is the mean, and σ is the standard deviation.

For x = 1,950 hours:

z = (1,950 - 1,975) / 25 = -1

For x = 2,050 hours:

z = (2,050 - 1,975) / 25 = 3

Now, we need to find the area under the standard normal distribution curve between z = -1 and z = 3. We can use a standard normal distribution table or a calculator to find this area.

Using a standard normal distribution table, we find that the area to the left of z = -1 is 0.1587 and the area to the left of z = 3 is 0.9987. Therefore, the area between z = -1 and z = 3 is:

0.9987 - 0.1587 = 0.84

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Answer:

r = 5

Step-by-step explanation:

The formula for volume of a cone is \(\pi r^2*\frac{h}{3}\)

h = 6

V = 50π

\(2\pi r^2=50\pi\)

r = 5

x + 3y + 1/2z

(4x + 12y + 2z)/4         <----- Divide the whole expression by 4

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

the best estimate is 25 cm

Step-by-step explanation:

the best estimate is 25 cm

because A would be too small

C too long

D way too much

Answer:

C ) 25 is your answer

Step-by-step explanation:

the other answers are unreasonable and don't make

sense so this is your best estimate.

The correct option is a) -0.15.

The weakest correlation relationship between two variables is given by -0.15.

With the aid of correlation, the strength of the relationship between two variables can be determined. We can tell from this study whether there is no correlation, weak correlation, or a strong correlation between the two variables.

Two different types of correlation exist:

The correlation value (r) always lies between -1 and 1.

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The complete question is -

Which of the following is the weakest correlation relationship between two variables?

a) -0.15

b) 0.27

c) -0.70

d) 0.55

Step-by-step explanation:

f (x)= x-7

= -1-7

= -6

g (x)= x^2

= (-1)^2

=1

Explanation:

In that list, the numbers 2,3,5 are prime. The value 1 is not prime.

The probability of picking a prime number in that list is 3/5 because we have three prime numbers out of five total.

After not putting that card back, we have 5-1 = 4 cards left. The probability of picking "1" is 1/4 since there's one card we want out of four cards left over.

Multiply the fractions mentioned:

(3/5)*(1/4) = (3*1)/(5*4) = 3/20

Given:

Radius of circle is 13 cm

Height of triangle is 5 cm

To find:

Value of 'a' and 'b'

Steps:

To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,

A² + B² = C²

\(a^{2} + 5^{2} = 13^{2}\)

\(a^{2} + 25 = 169\)

\(a^{2} = 169 - 25\)

\(a^{2} = 144\)

\(\sqrt{a^{2}}=\sqrt{144}\)

\(a = 12\)

Now to find the value of 'b', i will use law of cosine,

\(c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }\)

\(12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38\)

Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively

Happy to help :)

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