Draw a line connecting each sphere to its volume in terms of π and round it to the nearest tenth. (Not all of the values will be used.)

Problem

Solution

We have the following sequence of terms 34,25,16,7,....

Part a

The common difference for this case would be:

25-34= -9

16-25=-9

7-16= -9

Then the answer for part a would be -9

Part b

We want to write the following form:

an = a1 + (n-1) d

For this case d=-9, a1= 34

And then we can write the genral expression like this:

an = 34 + (n-1 ) (-9)

With n = 1,2,3,4....

Part c

In order to find the 20 th term we can replace n =20 and we got:

a20= 34 + (20-1) (-9) = 34-171= -137

The solution of the equation e^(x/4) = |4x| for the x by graphical approach is 0.27 and -0.24.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given expression,

e^(x/4) = |4x|

The function e^(x/4) is an exponential function and the plot of this function has been plotted below.

The mode function |4x| has also been plotted below.

The point of intersection is the point where both will be the same or the solution meets.

The first point of intersection is (0.267,1.0691) so x = 0.267 ≈ 0.27

The second point of intersection (-0.2357,0.9428) so x = -0.2357 ≈ -0.24

Hence " The solution of the equation e^(x/4) = |4x| for the x by graphical approach is 0.27 and -0.24.".

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Answer:

The slope m of the line that passes through the two given points is;

Explanation:

We want to calculate the slope of the line that passes through the given point;

Recall that the slope formula can be written as;

substituting the given points;

We have;

Therefore, the slope m of the line that passes through the two given points is;

Answer:

[tex]106-19\sqrt{x} 10[/tex]

Step-by-step explanation:

The next step to constructing a tangent line from Q to circle P is to construct the perpendicular bisector of the segment PQ.

For this, Leo can construct arcs from point P and from point Q that are greater than half the length of segment PQ.

The next step is to construct arcs from point P that are greater than half the length of segment PQ.

Answer:

perimeter: add p + m + n

area: use (p × m)/2

find missing side: use p^2 + m^2 = n^2

In a long division problem, say 8/5:

• 8 is the divisor

• 5 is the dividend

• 3 is the remainder.

Explanation

We are required to determine the value of the following:

This is achieved thus:

We know that the combination formula is given as:

Therefore, we have:

Hence, the answer is:

Given a straight line angle = 180

So, the angles (9x-100) and (40-x) are supplementary angles

So,

Solve for x:

So, the answer will be x = 30

Converting the given expression which is [tex]43_{8}[/tex] to base ten gives 35 in base ten.

Conversion of bases is achieved based on how the conversion to be done are are basically of two methods which are

The question is about converting other bases (base eight) to base ten. The steps required are as follows:

The given data is a number in base eight

[tex]43_{eight}[/tex]

[tex]43_{eight}=4*8^{1}+3*8^0[/tex]

[tex]43_{eight}=4*8+3*1[/tex]

[tex]43_{eight}=32+3[/tex]

[tex]43_{eight}=35[/tex]

The number 35 is now in base ten and can be written as [tex]35_{10}[/tex]

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Answer:

Table A represents a function

Step-by-step explanation:

Table A represents function because it is the only table that doesn't repeat an output or input number.

Given the equation:

Let's identify the type of polar graph for the equation.

To identify the type of polar graph, use the formula below to get the Cartesian form:

Thus, we have:

We have the graph of the equation below:

We can see the graph forms a Limacon with an inner loop.

Therefore, the type of polar graph for the given equation is a limacon with inner loop.

ANSWER:

We know that angles a and b are in the first quadrant. We also know this values:

We have to find sin(a+b).

We can use the following identity:

For the second term, we can replace the factors with another identity:

Now we know all the terms from the right side of the equation and we can calculate:

Answer: sin(a+b) = 63/65

The given situation can be written in an algebraic way.

If pathos age is a, and Yamir age is b. You have:

Yamir is twice as old as pato:

b = 2a

in three years, the sum of their ages will be 30:

(b + 3) + (a + 3) = 30

replace the b = 2a into the last equation, and solve for a, just as follow:

2a + 3 + a + 3 = 30 simplify like terms left side

3a + 6 = 30 subtract 6 both sides

3a = 30 - 6

3a = 24 divide by 3 both sides

a = 24/3

a = 8

Hence, the age of Pato is 8 years old.

First, look th the graph and set the coordinate of the points:

M = (mx,my)= (-1,2)

N = (nx,ny)= (4,0)

Now, apply the distance formula:

Replace with the coordinates:

Distance: 5.39

The solution for set B × A is {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}

Given,

The sets,

A = {1, 2, 3}

B = {4, 6}

We have to find B × A.

Here,

Consider the Cartesian product:

The set of all ordered pairs (x, y) such that x belongs to A and y belongs to B is referred to as the Cartesian Product of sets A and B in mathematics. For instance, the Cartesian Product of A and B is (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), and (2, 5) if A = [1, 2] and B = [3, 4, 5].

The Cartesian product of B × A = {(b, a) | b € B, a € A}

So,

B × A = {4, 6} × {1, 2, 3}

B × A = {(4, 1), (4, 2), (4, 3), (6, 1), (6, 2), (6, 3)}

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The number of 3 digit combinations possible for the six digit wheel combination lock is; 216 combinations.

It follows from the task content that the number of possible 3 digit combinations for the six digit wheel as required is to be determined.

The number of possible selections in a given sample space is defined by the combination which defines the situation.

On this note, each digit from the 3 digit combinations could be any of the six digits on the wheel.

Therefore, the number of possible combinations is; 6 × 6 × 6 = 216 combinations.

Ultimately, the number of possible combinations is; 216 combinations.

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The triangle has sides

a=8

b=14

c=19

You need to determine the measure of x

To determine the value of x you have to use the Law of Cosines that states that:

Where a, b, and c are the sides of the triangle, and theta represents the angle we are looking for.

So first step is to replace the formula with the given data and solve the exponents

Next solve for the cosine of theta:

And calculate the inverse cosine to determine the measure of the angle

As per given by the question,

There are given that a graph.

Now,

1. The given graph is cosine graph.

2. The aplitute of the given graph is,

From the graph, it is lie between -2 to 2.

So,

The amplitude of the given graph is 2.

Now,

3. The equation of the midline is,

Now,

4.The period of the fumction is,

Now,

The equation of the function.

First the general form of cosine graph function is,

Then,

Now,

Where, D is vertical shift.

Hence, the equation of the function is,

We remember that two interior angles are those inside the are of the lines, Thus, the angles in the area:

Are interior. Now, we identify two sides, the right side, and the left side, which have been separated by the transversal line.

Thus, the angle that is is the same side as ∡3, and also that is interior is ∡5.

total number of balls = 5 + 3 = 8

The possibilities are:

RR (two red) and RB (one red and one blue)

RR and RB are mutually exclusive

P(RR) =

To find the coordinates of the midpoint of HX, we would apply the midpoint formula which is expressed as

From the information given,

The common difference between each term is -3.

19 - 22 = -3

16 - 19 = -3

13 - 16 = -3

The recursive formula of an arithmetic sequence follows the pattern below:

where d = common difference and number of terms "n" must be more than or equal to two.

To be able to get the recursive formula, we will plug in the common difference assuming that first term a₁ = 22. Therefore, the recursive formula is:

The domain is all the possible input values, and the range is all the possible output values.

So according to this function (Given in the question).

The domain is [-3, 5] and the range is [-5, 4]

That is all to this question.

In order to find f(2) we just have to replace x by 2 in its equation:

f(x) = 3x - 1

↓

f(2) = 3 · 2 - 1

f(2) = 6 - 1

f(2) = 5

Since g(x) = f(2) is

g(x) = 5

using the equation of g, we have that

2x - 3 = 5

In order to find x we just solve the previous equation

2x - 3 = 5

↓ adding 3 both sides of the equation

2x - 3 + 3 = 5 + 3

2x = 8

↓ dividing by 2 both sides of the equation

2x/2 = 8/2

x = 4

Answer- D: x = 4

Given:

f(x) = root x - 5

Rewrite the function using y,

Now, interchange the position of x and y in the function,

Isolate the dependent variable

Therefore,

And the domain is minus infinity to infinity

Solution:

There is 2 possibility for the first letter from the left.

Then there are 2 possibilities for the second letter. Then and so on till the 5-th letter.

In this way, you will get

Each is unique, and each is achievable in this way.

There are no other arrangements. So that, we can conclude that the correct answer is:

Answer:

3/4

Step-by-step explanation:

As y is changing by 3, x is changing by 4

Answer:

answer is -0.8333

round about -0.834

Step-by-step explanation: I hope this helps.

Answer:

done