The vertical ______ of the function secant are determined by the points that are not in the domain.

Answers

Answer 1

The word that goes in the blank is asymptote.

Related Questions

In triangle ABC, m∠A=55 triangle ABC, m∠A=55°, c=11c=11, and m∠B=19m∠B=19°. Find the perimeter of the triangle

Answers

First, we illustrate the problem as shown in the picture. By convention, we denote capital letters as angles and the small letters as opposite sides to those respective angles. We can find the perimeter of the triangle by adding all it sides. So, the next step is to find sides a and b.

Since a triangle has a total of 180° in interior angles, then angle C can be solved by

180° = A + B + C
C = 180° - 55° - 19°
C = 106°

Next, we use the Law of Sines. This law can be used in any type of triangle. This law states that there is a fixed ratio of side to sine of the opposite angle. In equation, that would be written as

a/sin A = b/sin B = c/sin C

Since, we know already side c and angle C, the fixed ratio is then,

11/sin 106° = 11.443

The last step is to apply ratio and proportion:

11.433 = a/sin 55°
a = 9.37 units

11.433 = b/sin 19°
b = 3.73 units

Thus, the perimeter of the triangle is
P = a + b + c
P = 9.37 +3.73 +11
P = 24.1 units

for f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)

Answers

Final answer:

The value of the function f(x)= 1/x²-3 when x is 3, denoted as f(3), is -8/9.

Explanation:

To solve for f(3) in the function "f(x)= 1/x²-3", you should substitute x = 3 into the function. By doing so, we have:

f(3) = 1/(3²) - 3 = 1/9 - 3 = -8/9

Therefore, f(3) for this function is -8/9.

Learn more about Function substitution here:

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A piece of rope 94.2 inches long will enclose a circular child’s wading pool. What is the diameter of the pool?

Answers

The circumference of a circle is pi times D. So, 94.2/pi = 29.98 or about 30 in

what is .00463 in fraction form

Answers

We have a decimal system.

After the decimal point starts the negative powers of ten in those columns...

. 10^-1, 10^-2, 10^-3, 10^-4, 10^-5

1/10s, 1/100s, 1/1000s, 1/10,000s, 1/100,000s

so .00463 is equal to

463/100000

Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

Answer: Volume of cylinder is 1846.32 cubic yd.

Step-by-step explanation:

Since we have given that

Height of a cylinder = 12 yard

Radius of a cylinder = 7 yard

As we know the formula of "Volume of cylinder":

[tex]Volume=\pi r^2h\\\\Volume=3.14\times 7\times 7\times 12\\\\Volume=1846.32\ yd^3[/tex]

Hence, Volume of cylinder is 1846.32 cubic yd.

Answer:

1846.32 cubic yards

Step-by-step explanation:

Given the arithmetic sequence an = −1 + 7(n − 1), what is the domain for n?

All integers
All integers where n ≥ 0
All integers where n ≥ 1
All integers where n > 1

Answers

Final answer:

The domain for n in the arithmetic sequence is all integers where n ≥ 1.

Explanation:

The domain for n in the arithmetic sequence is all integers where n ≥ 1. In this sequence, the value of n represents the position of the term in the sequence. Since the first term of the sequence is represented by n=1, n can't be less than 1 because there is no zeroth term in the sequence. Therefore, the domain for n is all integers where n ≥ 1.

Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x = 0 to x = 15?

Answers

Solution: The average rate of change of [tex]\frac{-14}{3}[/tex] represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

Explanation:

The rate of change shows the change in first variable with respect to change in second variable.

If the rate of chang is given by [tex]\frac{-14}{3}[/tex] it means second variable is decrease by 14 if the first variable increase by 3.

In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.

If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.

Let the vertical height of the slide covered from x = 0 to x =15 be y.

It means when distance increased by 15 units the height of slide decreased by y units.

So rate of change = [tex]\frac{-y}{15}[/tex].

It is given that the rate of change is [tex]\frac{-14}{3}[/tex].

Equate both equations.

[tex]\frac{-y}{15}=\frac{-14}{3}[/tex]

[tex]y=15(\frac{14}{3} )[/tex]

[tex]y=5(14)[/tex]

[tex]y=70[/tex]

Therefore, the average rate of change of [tex]\frac{-14}{3}[/tex] represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.

What this mean in terms of the waterslide, from x = 0 to x = 15 is:

The vertical height of slide is decreased at the rate of 4.66 per unit.The vertical height of the slide decreased by 70 units from x= 0 to x=15

What is Rate of Change?

This refers to how fast or slow a thing is required before it changes form from one form to another.

With this in mind, we can see that with the water slide, there exists the decrease of the vertical height by 14 units over a distance of 3 units.

Therefore, the rate of change is -y/15

Read more about rate of change here:

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A cube has side lengths of 8 inches. What is the volume of the cube

Answers

Answer:
V=a³
V=512 in³
a=Edge

The answer is A equal 8

Which number is irrational, an integer, and a real number?
A)there are no such numbers
B) 0
C) sq root of 4
D) -4/2

Answers

A)there are no such numbers

Integers are rational numbers, so there can't be a number that is irrational and integer at the same time.

Answer:

Option A is the correct answer.

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction. All the integers can be written as a simple fraction. So an integer is not an Irrational Number. So there is no number is irrational, an integer, and a real number.

Option A is the correct answer.

ILL GIVE BRAINLIEST !!!1 A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w

In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)

Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)

Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)

Answers

Correct answer is step 2.

step 2 : should be < w + < z = 180

Given the following geometric sequence, find the common ratio. {0.1,-0.9,8.1,...}

Answers

The common ratio is the constant found when you divide any term in a geometric sequence by the term preceding it.

-0.9/0.1=8.1/-0.9=-9

The common ration is negative 9.

Answer:

Common ratio, r = -9

Step-by-step explanation:

If we have geometric progression, the common ratio is the ratio of (n+1)th term and nth term.

Here geometric progression is

0.1,-0.9,8.1,.................

Common ratio

[tex]r=\frac{-0.9}{0.1}=-9\\\\r=\frac{8.1}{-0.9}=-9[/tex]

Common ratio, r = -9

Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

Answers

To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one.

-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.

The sine function is an odd function

Answers

Sure the sin function is an odd function because sin (-Ф) = - sin (Ф)
Example: sin (- 30°) = - sin (30°) = -1/2

Answer:

The given statement is true.

Step-by-step explanation:

We have been given a statement and we are supposed to determine whether our given statement is even or odd.

Statement: The sine function is an odd function.

We know that sine is symmetric about origin and [tex]\text{sin}(-x)=-\text{sin}(x)[/tex]. Therefore, sine is an odd function and our given statement is true.

What is the quotient and remainder when x2 + x − 12 is divided by x − 2?

Answers

The answer to this item can be determined through making use of the concept of Remainder Theorem. With that, we are going to substitute the value of the factor to the given original equation. Whatever is the result of the operation through the use of the value of the factor is the remainder.

Factor: x - 2;

We equate this factor to zero to be able to find the value of x. That is,

x - 2= 0;

x = 2

Substitute 2 to the x's of the quadratic equation.
R = (2)² + 2 - 12 = -6

ANSWER: Remainder = -6

Ten children are to be divided into an a team and a b team of 5 each. the a team will play in one league and the b team in another. how many different divisions are possible?

Answers

The number of combinations for picking a number of items from a given selection is found using this formula: nCr = n!/(n - r)!r! where:
n = size of the selection
r = number of items being picked
In the case of the question, there is a selection of 10 people of which 5 will be chosen to be in team a so:
n = 10
r = 5
The number of combinations is 10C5 = 252
This means there are 252 possible different a teams that could be made from the 10 people.
Team b will be another of the 252 combinations.
Note: scientific calculators, e.g. Casio ones, have a button for the nCr formula.

Please help!!! Geometry.

Answers

check the picture below.

make sure your calculator is in Degree mode.

1. What is the length of the 2nd base of a trapezoid if the length of one base is 24 and the length of the midsegment is 19? Show your work.

2. What is the sum of the measures of the exterior angles in a heptagon? Explain.

3. Find the measure of each interior angle and each exterior angles of the following regular polygons. Show your work.
a. Decagon

b. Pentagon

c. Dodecagon

d. 16-gon

e. 25-gon

Answers

3. Check the first picture.

let

"a" be the number of angles (or sides)
"t" be the number of triangular regions, that the diagonals drawn from one angle divide the regular polygon into.

it is clear that for a polygon of n-sides, there are n-2 triangular regions, each of which has a total measure of angles equal to 180°.

so the sum of the interior angles of a n-gon is (n-2)180°.

In a regular polygon, the measure of each interior angle is equal, so:

the measure of each interior angle of a regular n-gon is:  [tex] \frac{(n-2)180}{n} [/tex]

apply the formula to each angle.

a. n=10,   [tex]\frac{(n-2)180}{n}=\frac{(10-2)180}{10}[/tex]=(8*180)/10=144
b. n=5,   [tex]\frac{(n-2)180}{n}=\frac{(5-2)180}{5}[/tex]=(3*180)/5=108
c. n=12,   [tex]\frac{(n-2)180}{n}=\frac{(12-2)180}{12}[/tex]=(10*180)/12=150
d. n=16,   [tex]\frac{(n-2)180}{n}=\frac{(16-2)180}{16}[/tex]=(14*180)/16=157.5
e. n=25,   [tex]\frac{(n-2)180}{n}=\frac{(25-2)180}{25}[/tex]=(23*180)/25=165.5

2.

the sum of the interior angles of a heptagon is (7-2)180°=5*180°=900°

let the measures of the interior angles be a,b,c,d,e,f and g.

so a+b+c+d+e+f+g=900°

the exterior angle measures are 180-a, 180-b, 180-c, 180-d, 180-e, 180-f, 180-g,

so the sum of the measure angles of the exterior angles is

(180°-a)+(180°-b) +(180°-c)+(180°-d)+(180°-e)+(180°-f)+(180°-g)
= 180°*7-(a+b+c+d+e+f+g)=1260°-900°=360°.

In fact, the sum of the measures of the exterior angles of any polygon is 360°.

1. Let the length of the second base be x

then
[tex] \frac{x+24}{2}=19 [/tex]
x+24=38
x=38-24=14 units

Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long. The height is 6 inches longer than twice the base length. What is the height of the pennant? Recall the formula A = 1/2bh.

A.) 12 inches

B.) 15 inches

C.) 30 inches

D.) 36 inches

Answers

A = 1/2 * b * h
A = 180
b = z
h = 2z + 6

180 = 1/2 * z * 2z + 6
180 = (2z^2 + 6z)/ 2
180 = z^2 + 3z)
z^2 + 3z - 180 = 0
(z - 12)(z + 15) = 0

z - 12 = 0
z = 12

z + 15 = 0
z = -15....not this one because it is negative

h = 2z + 6
h = 2(12) + 6
h = 24 + 6
h = 30 inches <====

The formula for area of a triangle = BH / 2
In which the area = 180 square inches.

You can therefore make this formula:

180 = [2(2z+6)+6](2z+6) / 2

Now solve for z.

360 = [2(2z+6)+6](2z+6)
360 = (4z+12+6)(2z+6)
360 = (4z+18)(2z+6)
360 = 8z^2 + 24z + 36z + 108
360 = 8z^2 + 60z + 108
0 = 8z^2 + 60z - 252

Now we will use quadratic formula to get z = 3, -21/2

Substitute in now

2(2z+6) + 6
2(2(3)+6) + 6
2(6+6) + 6
2(12) + 6
24 + 6
30

or... (false)

2[2(-10.5)+6]+6
2(-21+6)+6
2(-15) + 6
-30 + 6
-24

Therefore, the height is 30 inches. I made some work errors but it is still true because of the property ab = ba

Marion is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 18 km/h. After four hours, the velocity of the cyclist is 4 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equations obtained in Part A for the first 8 hours? (5 points)

Answers

Assume that the velocity is a linear function of time, so that
v(t) = a + bt
where
v = velocity (km/h) at time t (hours),
a and b are constants.

When t = 2 hours, v = 18 km/h, therefore
a + 2b = 18 (1)

When t = 4 hours, v = 4 km/h, therefore
a + 4b = 4 (2)

Subtract (1) from (2) to obtain
a + 4b - (a + 2b) = 4 - 18
2b = -14
b = -7
From (1), obtain
a = 18 - 2b = 18 - 2*(-7) = 32

Part A.
The equation is
v = 32 - 7t

Part B
To graph the equation for the first 8 hours, create a table as shown below.
t, hours: 0 1 2 3 4 5 6 7 8
v, km/h: 32 25 18 11 4 -3 -10 -17 -24

We can see from the table that the velocity becomes negative between t=4 and t=5. Therefore, we shall change all negative velocities to zero, and assume that the cyclist comes to rest.
TNote that when the velocity is zero,
32 - 7t = 0
7t = 32
t = 4.57

The new table becomes
t: 0 1 2 3 4 4.57 5 6 7 8
v: 32 25 18 11 4 0 0 0 0 0

The graph is shown below.

What is the slope of the line whose equation is 3x-5y=10?

Answers

get into y=mx+b form
m=slope

3x-5y=10
minus 3x from both sides
-5y=-3x+10
divide both sides by -5
y=-3/-5x+10/-5
y=3/5x-2
the slope is 3/5

Identify the factors of x2 − 4x − 12. (1 point)

(x + 4)(x − 3)

(x − 4)(x + 3)

(x − 2)(x + 6)

(x + 2)(x − 6)

Answers

x² - 4x - 12 =
x² + 2x - 6x - 12 =
x(x + 2) - 6(x + 2) =
(x + 2)(x - 6)

Answer:

D. [tex](x-6)(x+2)[/tex]

Step-by-step explanation:

We have been given a polynomial [tex]x^2-4x-12[/tex]. We are asked to find the factors of our given polynomial.

We will use splitting the middle term format of factoring quadratic polynomial.

We need two numbers, whose product is [tex]-12[/tex] and whose sum is [tex]-4[/tex]. Such two numbers are [tex]-6\text{ and }2[/tex].

[tex]x^2-6x+2x-12[/tex]

[tex](x^2-6x)+(2x-12)[/tex]

Factor out GCF of each group:

[tex]x(x-6)+2(x-6)[/tex]

[tex](x-6)(x+2)[/tex]

Therefore, factors of our given expression are [tex](x-6)(x+2)[/tex] and option D is the correct choice.

the question is.......... ASAP

Answers

C, proof from CB being 5x4 to get 20 from FE, use the same method on AC to get 3x4 to get 12 :)

Describe how to determine if two polygons have the same size and shape.

Answers

You can identify similar polygon by comparing their corresponding angles and sides. ( if they are the same the ratio of the lengths is the scale factor. Also check if their sides are proportional.)

Answer:

Prove that their corresponsing sides are all congruents

Step-by-step explanation:

Remember that if two figures have corresponding angles congruent, but proportional sides, then those figures are similar.

However, if those figures have corresponding angles and sides congruent, then they are congruent.

Therefore, to determine if two polygons are congruent, that is, in size and shape, we need to prove that their corresponsing sides are all congruents, that way, we'll be able to demonstrate their absolute congruence.

A 7.5 kg block is placed on a table. If it's bottom surface area is 0.6m2, how much pressure does the block exert on the tabletop?

Answers

We know that a 7.5 kg block is placed on a table and that it`s bottom surface area is 0.6 m².
Pressure = Force / Area
Force = Mass * Gravity = 7.5 kg * 9.81 m/s² = 73.575 N
P = 73.575 N / 0.6 m² = 122.625 N/m² = 122.625 Pa
Answer: The block exerts the pressure of 122.625 N/m² or 122.625 Pa.

Final answer:

The pressure exerted by a 7.5 kg block on a tabletop is calculated as the force due to its weight divided by the surface area. This results in a pressure of 122.5 Pascals (Pa).

Explanation:

The pressure exerted by an object on a surface is calculated by dividing the force it applies, which is its weight (a result of gravity), by the area over which the force is distributed. In this case, to find the pressure exerted by a 7.5 kg block on a tabletop with a bottom surface area of 0.6m2, we use the formula for pressure (P), which is P = Force (F) / Area (A).

To calculate the force, we need to know that the weight of the block is the product of its mass (m) and the acceleration due to gravity (g), where g is approximately 9.8 m/s2. So, the weight (F) is:

F = m × g = 7.5 kg × 9.8 m/s2 = 73.5 N

To calculate pressure (P), we then divide the force by the area:

P = F / A = 73.5 N / 0.6 m2 = 122.5 Pa

Therefore, the pressure exerted by the block on the tabletop is 122.5 Pascals (Pa).

the ratio of boys to girls are 8 to 7. if there was a total of 195 students, how many boys and girls are there?

Answers

Add the values of the ratio.

8+7= 15

Boys: 195/15= 13(8)=104

Girls: 195/15= 13(7)= 91

There are 104 boys and 91 girls. Hope this helps!

Which best explains if quadrilateral WXYZ can be a parallelogram?

WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

Answers

Your answer is
"WXYZ can be a parallelogram with one pair of sides measuring 15mm and the other pair measuring 9mm"

To find this, you first have to solve for x. Assuming WXYZ is a parallelogram, then the side (x + 8) must equal 15, which means we can subtract 8 and get x as 7.

Now we substitute 7 into the other side's, (7 + 2) = 9mm, and (7 × 2) - 5 = 14 - 5 = 9mm.

I hope this helps!

If quadrilateral WXYZ is a parallelogram, the opposite sides will be equal, in length from which the value of x will satisfy the two equations.

Response:

WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

How can the option that best indicates if WXYZ can be a parallelogram be obtained?

Properties of a parallelogram

The length of the opposite sides of a parallelogram are equal, which gives;

2·x - 5 = x + 2

2·x - x = 2 + 5

x = 7

Similarly, we have;

x + 8 = 15

x = 15 - 8 = 7

The lengths of the opposite sides are therefore;

2·x - 5 = 2 × 7 - 5 = 9 and x + 8 = 15

The option that indicates if WXYZ is a parallelogram is therefore;

WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

Learn more about parallelograms here;

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whats the answer to >> 3/10 + 2/11 and find the sum

Answers

3/10 + 2/11....common denominator is 110
33/110 + 20/110 =
53/110 <==

If we multiply every observation in a data set by 2, the mean will

Answers

If the values increase then the mean will as well, but if only the observations increase, the mean will decrease.

Jared bought eighteen doughnuts to share with his coworkers. If each doughnut cost c cents, which expression represents his total cost?

18 + c
18 - c 1
8 ÷ c
18 c

Answers

it would be 18/c. to figure out each cost take the number and divide it by c

Answer:

i think answer 1

Step-by-step explanation:

tell me i i am wrong

people who are physically active should increase the daily amount of water they drink to 2/3 ounces per pound of body weight. how much should a 245 pound football player drink per day?

A 1,470 ounces of water
B 163 ounces of water
C 163 1/3 ounces of water
D no water, football players only drink gatorade

Answers

245*2/3=

245*2 =490/3 =163.33 = 163 1/3 ounces

Other Questions

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After the math teacher returnee his paper to him, he realized that if he increased his target by 10%, he would need 1 more mark to reach his actual score. If he increased his target by 15%, this target would exceed his actual test marks by 3. What is his actual test score. 1. What shape is the graph?2. What direction does the graph open?3. Where is the graph increasing/decreasing?4. What are the intercepts?5. Are there any special points?6. Is there a line of symmetry? In order to be governed by the provisions of the indian reorganization act, the tribes were required to: P(1+r)t Using the expression above, choose the correct answers for the new balance and the amount of interest earned in the following compound interest problem. $950 at 7% for 8 years, compounded annually. Total Amount = $ Interest Amount = $ arman needs 4 1/2 inches of cable to make A,3 3/4 inches to make B, and 5 1/8 inches to make C. He used a 12 inch piece of cable to make A and B. The first term of a geometric series is a/b^2, and the common ratio is b/a^2. Find the next five terms of the geometric sequence. Prior to the 18th century, what rulers made efforts to modernize Russia A maintenance man has 12 keys on his key ring. if he tries the keys at random on a storage room door, discarding those that do not work, what is the probability that he will get the door open on his 4th try? What year did texans elect the first woman ever to represent the state in the u.s. senate? What volume of 1.25M HCl would be required to prepare 180 mL of a 0.500M HCl solution? A. 2.2 x 103 mL B. 450 mL C. 72 mL D. 0.014 mL If y varies directly with x and y = 15 when x = 5, what is the value of k? The minimum sustained wind speed of a Category 1 hurricane is 74 miles per hour. The maximum sustained wind speed is 95 miles per hour. Write an absolute value equation that represents the minimum and maximum speeds. Let v represent the wind speed. The _______ required american colonies to supply england with raw materials and a market for finished goods. CHAPTER IITHE SHE-WOLF, an excerpt From White Fang By Jack LondonBreakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sadcries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.As darkness came on, the hunting-cries to right and left and rear drew closerso close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:"I wisht they'd strike game somewheres, an' go away an' leave us alone.""They do get on the nerves horrible," Henry sympathized.They spoke no more until camp was made.What is the main message of this excerpt of White Fang? Please respond in three to five complete sentences, including specific sections of text to support your answer. (Please don't just say, "It's asking you," that doesn't help.) Steam Workshop Downloader