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.)

We have to use the formula of the slope

Where,

Replacing all these values, we have

Now, we solve for m

Explanation

you need to select the correct function depending on the number

i)f(-10)

Let x= -10, replacing

Step 2

Now

ii) f(2)

x=2,replacing

Step 3

iii) f(-5)

Let

x=-5,replace

Step 4

iv)f(-1)

let

x=-1,replace

Step 5

Finally

F(8)

Let

x=8,replace

I hope this helps you

16. Circle F

17. BF

18. CD

19. BE

20. FA

Answer:

16.  F

17.  FA

18.  CD

19.  BE

20.  FA

Step-by-step explanation:

Question 16

A circle is named by its center.

The center of the given circle is F, therefore the name of the given circle is F.

Question 17

The radius of a circle is a straight line segment from the center to the circumference.  

Therefore, the radii of the given circle are:

Question 18

A chord is a straight line segment joining two points on the circumference of the circle.  

Therefore, the chords of the given circle are:

Question 19

The diameter of a circle is the width of the circle at its widest part. It is a straight line segment that passes through the center of the circle and whose endpoints lie on the circumference.

Therefore, the diameter of the given circle is:

Question 20

As the diameter is BE, it contains the radii FB and FE.

Therefore, the radius that is not contained in the diameter is:

Answer: [tex]\frac{5}{2\sqrt{5x+3\\} }[/tex]

Step-by-step explanation:

First, use the chain rule to quickly find the answer so that you can check after you go through the ridiculous process that is the bane of every calculus 1 student's existence.

f(x) = (5x + 3)^(1/2)

(d/dx) (5x + 3)^(1/2) =

(1/2)(5x + 3)^(-1/2) * (5) =

5/[2(5x+3)^(1/2)]

Now, we enter the first gate of hell:

f'(x) = the limit as h approaches 0 of [(f(x+h) - f(x))/h]

lim as h -> 0 of [(5(x+h)+3)^(1/2) - (5x+3)^(1/2)/h]

lim as h -> 0 of [(5x+5h+3)^(1/2) - (5x+3)^(1/2) / h]

Multiply numerator and denominator by the conjugate of the numerator, which is (5x+5h+3)^(1/2) + (5x+3)^(1/2).  

lim as h -> 0 of

[√(5x+5h+3) - √(5x+3) ] [√(5x+5h+3) + √(5x+3) ]

______________________________________

h[√(5x+5h+3) - √(5x+3) ]

Simplify the numerator via FOIL:

5x+5h+3 + √(5x+5h+3)√(5x+3) - √(5x+3)√(5x+5h+3) - (5x+3)

The remaining radicals in the numerator cancel each-other, giving us:

5x + 5h + 3 - 5x - 3

Simplify Further:

5h

Now that we have simplified our numerator, let's continue:

lim as h -> 0 of (5)(h)/[(h)((5x+5h+3)^(1/2) + (5x+3)^(1/2))]

The h in the numerator cancels the h in the denominator.

lim as h -> 0 of 5/[(5x+5h+3)^(1/2) + (5x+3)^(1/2)]

Now, we directly substitute h with 0 in the equation.

5/[ (5x+3)^1/2 + (5x+3)^(1/2) ]

In the denominator, both sides of the addition sign are the same, so we can simplify it further to:

5/[ 2(5x+3)^(1/2) ]

This is the same answer we received using the chain rule, so it is correct!

STEP - BY - STEP EXPLANATION

What to find?

The value of m.

To find the value of m, we take the proportion of the sides of the triangles.

That is;

adjacent of the bigger triangle/hypotenuse of the bigger triangle = adjacent of the smaller triangle / hypotenuse of the smaller triangle.

That is;

Cross-multiply

Take the square root of both-side of the equation.

Answer:

You answer is B, from 0 to 20 and including 0 and 20.

Step-by-step explanation:

From the graph, the range of the graph, the y values range from zero down; so the range is given by;

Option

We have a direct proportionality between y and x.

If "k" is the constant of proportionality, the equation for this situation is:

To find the constant of proportionality, we solve that equation for k:

And since when y=45, x=180, substituting these values to find k:

Now, we substitute the value of k into the equation of proportionality:

And in this equation, we can substitute any value of the variables, and find the value of the other variable.

In this case, we have y=90, so we substitute that value and solve for x:

Answer: when y=90, x=360

Given the following expression:

if we add 243 on both sides of the equation we get the following:

thus, d = 785

6930553.9

1) Let's rewrite and solve the expression, note that since Multiplication and Division are on the same level of priority according to PEMDAS acronym for the order of operations:

Notice that we simplified 6/4 to 3/2 and then 6 by 2. In addition to this, note that the 2 decimal places were kept, we can write 69305553.90 or simply 69305553.9

2) Hence, the answer is = 6930553.9

Depending on the angle we are analyzing on the right triangle, each side of it takes a different name. In this case, we are going to name them depending on the angle A. Then,

a: opposite side (to A)

b: adjacent side

c: hypotenuse

We know that the formula for cot(A) is:

Replacing it with a and b:

Since a = 3:

We have an expression for cot(A) but we do not know its exact value yet. First we have to find the value of b to find it out.

We do this using the Pythagorean Theorem. Its formula is given by the equation:

Since

a = 3

and

c = √51

Then,

solving the equation for b:

Then,

b= √42

Therefore, the equation for cot(A) is:

If both triangles are congruent by the HL theorem, then their hypotenuses are equal and at least one of the corresponding legs is equal too.

Hypothenuses:

From this expression, you can calculate the value of m

Legs:

Replace the expression with the calculated value of m

Now pass the n-related term to the left side of the equation and the numbers to the right side:

And divide both sides of the expression by 3

So, for m=3 and n=6 the triangles are congruent by HL

Solution

We are given

Length (l) = 33 yards

Width (w) = 59 yards

To find the perimeter

Note: Perimeter of a Rectangle

The first figure has 3 tiles

The second figure has 8 tiles

The third figure has 15 tiles

The 4th figure has 24 tiles

The 5th figure has 35 tiles

The 6th figure has 48 tiles

Each time we increased row and column

So the rule is

a(n) = n(n + 2)

Let us use the rule to find figure 46

n = 46

The number of tiles in figure 46 is 2208

Given the System of Inequalities:

1. Take the first inequality and solve for "y":

Notice that direction of the symbol changes, because you had to multiply both sides of the inequality by a negative number.

Now you can identify that the boundary line is:

Since it is written in Slope-Intercept Form, you can identify that its slope is:

And its y-intercept is:

Notice that the symbol of the inequality is:

That indicates that the line is dashed and the shaded region is above the line.

Knowing all this information, you can graph the first inequality on the Coordinate Plane.

2. Apply the same procedure to graph the second inequality. Solving for "y", you get:

Notice that the boundary line is:

Where:

Since the symbol is:

The line is dashed and the shaded region is above the line.

Knowing this, you can graph the second inequality.

3. Look at the graph of the System of Inequalities:

Notice that:

-The black line is the boundary line of the first inequality and the green line is the boundary line of the second inequality.

- The solution of the system is the intersection region. It is the region where the shaded region of the first inequality and the shaded region of the second inequality, intersect.

4. Plot the points given in the options on the graph of the Systems:

5. You can identify that this point is in the intersection region:

Therefore, it is a solution.

Hence, the answer is: Option B.

The result for the division is:

Step 1: Write the coefficients of the numerator on the right-hand side, and the opposite of the constant term in the denominator on the left-hand side.

20..............2 || 3 || 5 || 9

..................2

Step 2: Multiply 20 by 2 and add the result to 3

20..............2.......................|| 3 || 5 || 9

..................2*20 = 40

....................2 || 3 + 40 = 43

Step 3: Multiply 43 by 20, and add the result to 5

20..............2 || 3 .........................|| 5 || 9

...................... 40.......20*43 = 860

....................2||43 .......5+860=865

Step 4: Multiply 865 by 20, and add the result to 9

20..............2 || 3 || 5 ..........................|| 9

...................... 40 ||860......20*865=17300

....................2||43||865...9 + 17300=17309

The coefficients are 2, 43, 865, 17309

The quotient is:

and the remainder is 17309

So, we can write:

The given expression is

LCM of 8 and 4 is 8, making the denominator 8.

Hence the answer is

The domain of a function is all values of x the function can have.

Since this function has radicals, and the value inside a radical needs to be positive or zero, and also the denominator of a fraction can't be zero, we have the following conditions:

Since the first condition contains the second, so the domain set is represented by the second condition:

The formula for the perimeter of rectangle is,

Substitute 70 for P, x for l and (x - 9) for w in the formula to determine the value of x.

So value of x is 22.

Answer:

Explanation:

The reflection over the line y = x gives the following transformation of coordinates

therefore, for our case the transformation gives

which are our answers!

The graphical representation of a point and its reflection about the line y =x is the following:

Answer:

Explanation:

Here, we want to find the 52nd term of the sequence

What we have to do here is to check if the sequence is geometric or arithmetic

We can see that:

Since the difference between the terms is constant, we can say that the terms have a common difference and that makes the sequence arithmetic

The nth term of an arithmetic sequence can be written as:

where a is the first term which is given as 16 and d is the common difference which is 20 from the calculation above. n is the term number

We proceed to substitute these values into the formula above

Mathematically, we have this as:

Answer:

n - 8 ≥ 10

n ≥ 18

Step-by-step explanation:

Hello!

8 less than the number n can be represented as n - 8.

To be atleast 10, we can have values greater than 10 and equal to 10, but cannot be less than 10 . We can use the ≥ symbol to represent this.

The inequality would be n - 8 ≥ 10

n has to be greater than or equal to 18

Both points of the given points have the same x-coordinate. This is only possible if we have a vertical line. The vertical line have the format

Where k represents the x-coordinate of all points of the line. The x-coordinate of our points is 9, therefore, the equation of the line is

And its graph is

Answer:

15:45 i think

Step-by-step explanation:

25% of 60 is 15

60-15=45

15:45

The most appropriate choice for linear equation will be given by -

w = -8 is the required answer

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here

[tex]4(3w - 2) = 8(2w+3)\\12w - 8 = 16w+24\\16w - 12w = -8-24\\4w = -32\\w = -\frac{32}{4}\\w = -8[/tex]

To learn more about linear equation, refer to the link:

https://brainly.com/question/2030026

#SPJ9

All angles of triangles is equal means that that triangle is equailateral triangle with side of a = 4 in.

The formula for the area of equilateral triangle is,

Substitute 4 for a in the formula to determine the area of the triangle.

So area of triangle is,

Given:

A set 3 regular and 1 wireless keyboard,

Regular keyboards = $ 82

Wireless keyboards = $ 115

Total keyboards sales = $ 5415

Find-:

(a) how many regular keyboards?

(b) how many wireless keyboards?

Explanation-:

A set of 3 regular and 1 wireless keyboard would sell for:

For, the given sales, the number of sets sold:

Total keyboard sales = $5415

Since there are 3 regular keyboards in each set,

The regular keyboard is:

The regular keyboard is 45.

Wireless keyboard is 15.

Approximately 5 meters long.

As per given by the question,

There are given that a general form od quadratic equation.

The equation is,

Now,

For determine the one real solution, two real solution, and no real solution;

There are apply the condition for all these three.

So,

First for one real solution.

If

The given quadratic equation has one real solution.

If,

The given quadratic equation has two real solution.

And,

If,

The given quadratic equation has no real solution.