A cellphone company charges $7 plus $0.25 for each text message sent. The total bill was $45.50. How many text messages were sent?​ (HELP FAST)

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

To learn more about asymptotes visit:

brainly.com/question/12579013

#SPJ4

Answer:

Step-by-step explanation:

I got 22 my friend hope i helped.

Answer:

$18

Step-by-step explanation:

50% of 40 is 20, so 40-20=20

10% of 20 is 2, so 20-2=18

total price=$18

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

There is no way to prove this, since we do not know any of the angle  or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

Answer:

The correct answer is - The setting may discourage honest responses.

Step-by-step explanation:

In this particular setting of research and interview regarding this research may not produce hones results as the question is too direct to ask students if they had ever used drugs.

Research should be anonymous and should avoid the questions that can lead to bias results like this case that may lead to dishonest results.

Thus, the correct answer is : The setting may discourage honest responses.

Answer:Therefore, the required area of the sector GPH  is about 50.24 yd.

Step-by-step explanation:its ez

Answer:

18

Step-by-step explanation:

direct variation = y/x

54 / 3 = 18

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

learn more about change here

brainly.com/question/32782775

#SPJ4

The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

Step-by-step explanation:

So, f(x) = ae^{kx}a = f(0) = 37(1) = 37 and k = ln(1.05) = 0.0488.f(x) = 37e^{0.0488x}.

We are given a function f(x) = 37(1.05)^x and we need to convert it into the form

f(x) = aekx.

To do this, we need to first express f(x) in the form f(x) = ae^{kx}, where a and k are constants.

Let's first find the value of a.

We know that f(0) = 37(1.05)^0 = 37, so a = 37.

Now we can write f(x) as f(x) = 37e^{kx}.

Next, we need to find the value of k.

We can do this by taking the natural logarithm of both sides of

f(x) = 37(1.05)^x:ln(f(x)) = ln(37) + xln(1.05)

Now we can see that k = ln(1.05) ≈ 0.0488.

So the final answer is:f(x) = 37e^{0.0488x} (rounded to 4 decimal places)which is in the form f(x) = aekx.

To learn more about  natural logarithm

https://brainly.com/question/29154694

#SPJ11

Answer:

1. 6

2. 8

3. 80

4. 11

5. 60

6. 3

7. 30

8. 0.8

9. 5

10. 600

11. 150

12. 110

13. 15

14. 1.1

15. 36

Hope it helps

The order should include: 32 chairs, 24 monitors, 14 desks, 25 company orientation bulletins, and 18 hard drives.

To determine what should be ordered based on the given instructions and information provided by the office manager, let's break down each requirement:

1- Number of Chairs: The order for chairs should be based on the increase in headcount. Given that 17 people have left the company and 33 have joined in the past 60 days, the net increase is 33 - 17 = 16 people. Therefore, the number of chairs to be ordered should be double this increase, which is 2 * 16 = 32 chairs.

2- Number of Monitors: The IT department has requested 12 monitors. According to the instructions, we need to order double the number requested. Thus, the number of monitors to be ordered is 2 * 12 = 24 monitors.

3- Number of Desks: The accounting department has requested 40 desks. We are required to order 1/3 of the desks requested, rounding up if necessary. 1/3 of 40 is approximately 13.33, which rounds up to 14 desks.

4- Number of Company Orientation Bulletins: The administrative department requested 20 company orientation bulletins. We need to order 1/4 more than what they requested, which is 1/4 * 20 = 5 additional bulletins. Therefore, the total number of bulletins to be ordered is 20 + 5 = 25.

Number of Hard Drives: The instructions state that 18 hard drives should be ordered.

for more such questions on number https://brainly.com/question/24644930

#SPJ8

Answer: 12 years

Step-by-step explanation:

We know that the population decrease rate is 4% each year

So take 7900 times 0.04% = decrease 316 people each year

Then take 7900 - 4300 = 3600 people need to get there

Then take 3600 divided by 316 = 12 years

In this movie, the ratio of children to adults suggests that there are 27 children in attendance.

We have to give that,

There are 9 children for every 4 adults.

This means that if there were 13 people, 9 of them would be children and 4 would be adults.

Children would therefore be:

= 9 / 13

If there were 39 people, the number of children would be:

= 9/13 x 39

= 27 children

In conclusion, there are 27 children.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ4

The complete question is,

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults in the movie.

How many children are in the movie?

The radius of a wheel rolling on the ground is 80 centimeters. if the wheel rotates through an angle of 60. Therefore,  It move to 84 cm.

Circumference Of Circle:

The total length of the circle boundary. The circumference of a circle is the product of the constant π and the diameter of the circle. A person walking across a circular park or a circular table needs this measure of circumference. The circumference is a length value and its units are the same as the length units. A circle is a round closed figure with all endpoints equidistant from a fixed point called the center.

The formula for the circumference of a circle is expressed using the values ​​of the circle's radius 'r' and 'pi'. It is represented by the equation of circumference = 2πr. Using this perimeter formula, if you don't have a value for the radius, you can use the diameter to find it. To calculate the circumference is to use the formula circumference = π × diameter.

If you need to calculate the radius or diameter, consider the circumference of a circle and use the following formula:

                    Radius = circumference/2π

Now,

According to the Question:

If the radius is 80cm

and,  the circumference is 2×π×80cm.

If the wheel rotates by 60° then a fraction 60/360 (= 1/6) of the circumference moves over the ground.  

Therefore, the distance moved is

                     \(\frac{2*\pi*80 }{6}\)

               = 83.77580

               ≈ 84 cm.

Learn more about Angle:

https://brainly.com/question/28451077

#SPJ4

This probability is greater than 1, which is not possible.

This suggests that there may be an error in the problem statement, or that some additional information is required to correctly solve the problem.

The probability of a store being a Kwik Save is:

P(Kwik Save) = 1000 / (1000 + 424) = 1000 / 1424 = 0.7037

The probability of a store closing, given that it is a closing store, is:

P(closing| Kwik Save) = 107 / (107 + 324) = 107 / 431 = 0.2488

The probability of a store being a closing store is:

P(closing) = (107 + 324) / (1000 + 424) = 431 / 1424 = 0.3029

The probability of a randomly chosen store being either closing or Kwik Save is:

P(closing or Kwik Save) = P(closing) + P(Kwik Save) - P(closing and Kwik Save)

= 0.7037 + 0.3029 - (107 / 1424)

= 0.8997

The probability that a randomly selected store is not closing given that it is a Somerfield is:

P(not closing| Somerfield) = 1 - P(closingl Somerfield)

To find P(closing| Somerfield), we can use Bayes' theorem:

P(closing| Somerfield) = P(Somer field| closing) * P(closing) / P(Somerfield)

P(Somerfield| closing) is the probability that a store is a Somerfield given that it is closing.

Since all the Somerfield stores are closing, this probability is 1.

P(Somerfield) is the probability that a store is a Somerfield.

It is:

P(Somerfield) = 424 / (1000 + 424) = 424 / 1424 = 0.2980

Therefore,

P(closing| Somerfield) = 1 * 0.3029 / 0.2980 = 1.0151.

For similar question on probability.

https://brainly.com/question/28185528

#SPJ11

Height of the volcano = 729

The elevation angle to the peak of the volcano is 23 degrees.

The surveyor goes 750 feet closer to the volcano, and the angle of elevation now equals 37 degrees.

It forms an ABC triangle.

Point A = the volcano's summit

Point B is the volcano's lowest point.

Point C = height of 23 degrees to the volcano

Point D = going 750 towards the volcano and establishing a 37-degree elevation angle

BD = ?

DC = 750

Tan 23 degrees AB/BC

Tan 23 degrees AB = BC

Tan 37 degrees AB/BD

Tan 37 degrees = AB

23 degrees BC Tan 37 degrees BD Tan

(BD +750)

BD (.7536-.4245) = 318.356

BD = 967.35

Height of the volcano = 729

To  learn more about Angle of elevation from the given link:

https://brainly.com/question/21137209

#SPJ9

The cost of a tee left over from last year is $10.50.

Subtract the final price from the original price then Divide this number by the original price. Finally, multiply the result by 100. You've obtained a discount in percentages.

% discount = 100 × (original price - discounted price) / original price

If the regular price of a t-shirt is $20 and it's on sale at 25% off, then the sale price is:

$20 - (25% x $20) = $20 - $5 = $15

If the leftover t-shirts are discounted an additional 30% off the sale price of $15, then the final price is:

$15 - (30% x $15) = $15 - $4.50 = $10.50

Therefore, the cost of a tee left over from last year is $10.50.

To learn more about the percentage discount click here:

https://brainly.com/question/16524608

#SPJ1

We need to find the

volume

of the region bounded by the two

paraboloids

: z = x² + y² and z = 8 - (4x² + y²).

To sketch the region, we observe that the first paraboloid z = x² + y² is a right circular cone centered at the

origin

, while the second paraboloid z = 8 - (4x² + y²) is an inverted right circular cone

centered

at the origin. The region of interest is the space between these two cones.

To set up the triple

integral

for finding the volume, we integrate over the region bounded by the two paraboloids. We express the region in cylindrical coordinates (ρ, φ, z) since the cones are

symmetric

about the z-axis. The limits of integration for ρ and φ can be determined by the

intersection points

of the two paraboloids. Then the triple integral becomes ∫∫∫ (ρ dz dρ dφ), with appropriate limits for ρ, φ, and z.

By evaluating this triple integral, we can find the volume of the region bounded by the two paraboloids.

To learn more about

paraboloids

click here :

brainly.com/question/30634603

#SPJ11

1) m is an integer. If m2 is divisible by 13, then m is also divisible by 13.

2) n is an integer. If 7n + 8 is divisible by 4, then n is also divisible by 4.

1. Proof by contraposition to prove the theorem:Assume that m is an integer and m is not divisible by 13. Then, we need to show that m² is also not divisible by 13.Now, we know that m is not divisible by 13. So, m can be written as 13p + q, where p and q are integers, and q is not equal to 0, since if q = 0, then m would be divisible by 13.So, we have m = 13p + q, where q is not equal to 0.Now, let's consider m²:(13p + q)² = 169p² + 26pq + q²We need to show that m² is not divisible by 13.

Suppose, for the sake of contradiction, that m² is divisible by 13. Then, 13 divides 169p² + 26pq + q². But since 13 divides 169, it follows that 13 must divide 26pq + q². Hence, 13 divides q(26p + q). But since 13 does not divide q, it follows that 13 must divide 26p + q. Hence, we can write 26p + q = 13k, where k is an integer.But we also know that q is not equal to 0. So, we can solve for p in terms of q and k:p = (13k - q)/26Since p is an integer, it follows that 13k - q must be even.

But since q is odd, it follows that 13k must be odd. Hence, k is odd. Therefore, we can write k = 2j + 1, where j is an integer. Substituting this into our expression for p, we get:p = (13(2j + 1) - q)/26p = (26j + 13 - q)/26p = j + 1 - q/26Hence, q/26 is a fraction, which contradicts the fact that p is an integer. Therefore, our assumption that m² is divisible by 13 must be false. Hence, we have proved the theorem.

2. Proof by contraposition to prove the theorem:Assume that n is an integer and n is not divisible by 4. Then, we need to show that 7n + 8 is also not divisible by 4.Now, we know that n is not divisible by 4. So, n can be written as 4p + q, where p and q are integers, and q is not equal to 0, since if q = 0, then n would be divisible by 4.So, we have n = 4p + q, where q is not equal to 0.Now, let's consider 7n + 8:7(4p + q) + 8 = 28p + 7q + 8

We need to show that 7n + 8 is not divisible by 4. Suppose, for the sake of contradiction, that 7n + 8 is divisible by 4. Then, 4 divides 28p + 7q + 8. But since 4 divides 28, it follows that 4 must divide 7q + 8. Hence, 4 divides 3q + 2. But since 4 does not divide q, it follows that 4 must divide 3. This is a contradiction.

Therefore, our assumption that 7n + 8 is divisible by 4 must be false. Hence, we have proved the theorem.

Know more about integer here,

https://brainly.com/question/490943

#SPJ11

the answer is 3x^3 +13x^2 +6x -8.

Answer:

I can simplify it for u but not sure the product

3x(x²+3x-2)+4(x²+3x-2)

3x³+9x²-6x+4x²+12x-8

=3x³+13x²+6x-8

that's the final answer

Answer:

If I'm right it should be B.

Step-by-step explanation:

I looked it up

Answer:

wag umasa sa brainy

Step-by-step explanation:

dahil sa brainy nagiging tamad Ang tao

kailangan ikaw Ang mag sagot

The length of the Bathroom is 3x - 4 feet and the width of the Bathroom is 5x + 1 feet.

As per the shown figure, the dimensions can be written as follows:

Length of Bedroom = 6x+2

Width of Bedroom = 5x+1

Length of Master Bedroom = 8x-3

Width of Master Bedroom = 5x+1

The length of the Bathroom can be calculated as follows:

Length of the Bathroom = 17x - 5 - (Length of Bedroom + Width of Master Bedroom)

Length of the Bathroom = 17x - 5 - (6x+2+8x-3)

Length of the Bathroom = 17x - 5 - 14x + 1

Length of the Bathroom = 3x - 4

And width of the Bathroom = 5x + 1

Learn more about the dimensions here:

https://brainly.com/question/19712333

#SPJ1

The equation for the given linear function is y = 12m + 20.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The given points for the linear function are (2, 44) and (5, 80) respectively.

The slope can be obtained as,

m = (80 - 44)/(5 - 2)

   = 36/3

   = 12

Substitute the value of m in the general form y = mx + c to obtain,

y = 12x + c

Now, substitute x = 2 and y= 44 in the above expression as,

44 = 12 × 2 + c

=> c = 44 -24

=> c = 20

Thus the linear function can be written in the form of equation as,

y = 12m +  20

Hence, the equation of the function for the given case is y = 12m + 20.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ1