Use the function below to find F(1)

TICKET MONEY for age 16 and over,

155-49 =106

1 person pays £18.60

106 = 106 × £18.60

=£1,971.6

TICKET MONEY for under 16

1 person pays £12.80

49 people =49 × £12.80

= £627.2

TOTAL NUMBER OF TICKETS

£ 1,971.6 + £6272.2

= £2,598.8

Answer:

Step-by-step explanation

The ratio is 3:5

the explanation is given in the pdf below

This technique allows mathematical sense since it concentrates effort on repaying the loans with the highest interest rates.

You can use the available credit on a credit card to buy things, debt exchanges, and/or cash withdrawals, but you eventually have to pay back the loan's principal.

The fastest way to receive a credit card is to submit an application and then, after being accepted, ask for expedited delivery. When you apply online, you have a chance of getting a quick response. In some circumstances, you might even get your card number immediately away so you can start making purchases.

To know more about Credit Card visit :

https://brainly.com/question/24200510

#SPJ1

a. Water was the scarce resource in the video.

b. Water is used for drinking, farming, and electricity.

c. Mexicans depend on trucks to deliver water. They also started buying water from small water shops that are open to meet the water demand.

d. The government could focus on improving water delivery and plumbing. It could also provide bottled water to residents at a discounted rate.

e. The Mexican government may face a scarcity of time, money, or labor

When the demand for a natural resource exceeds the supply, resource scarcity results, which causes the stock of those resources to decrease. As prices rise and the resource becomes less accessible to those who are least well-off, this could result in unsustainable growth and a rise in inequality.

Natural resources are inherently scarce, including gold, oil, silver, and other fossil fuels. These resources become scarce and their prices may rise when demand outpaces supply. Due to their scarcity and market dominance, some commodities, like diamonds, command a high price. Based on the information Illustrated as answers, water is this scarce resource.

Learn more about resources on:

https://brainly.com/question/1581220

#SPJ1

The area of the polygon is 696

A polygon is any closed curve consisting of a set of line segments connected such that no two segments cross.

The area of a polygon is is expressed as

A = 1/2 × p × a

where p is the perimeter and a is the apothem

perimeter = n × s

where n is the number of side and s is the side length.

P = 8 × 12 = 96

A = 1/2 × 96 × 14.5

A = 1392/2

A = 696

Therefore the area of the polygon is 696

learn more about area of polygon from

https://brainly.com/question/20110859

#SPJ1

Answer:

The answer is -77

Step-by-step explanation:

Hope this helped! Have a great day!

Answer:

you need exactly 0.72 fertilizer but since its pounds, you round up so the answer is 1 pound.

Step-by-step explanation:

The amount of fertilizer required to cover 1 square foot of ground is 0.72

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Amount of fertilizer required to cover 25 square foot ground = 18 pound

Amount of fertilizer required to cover 1 square foot ground = Amount of fertilizer required / total square foot ground

Amount of fertilizer required to cover 1 square foot ground = 18 / 25

Therefore , Amount of fertilizer = 0.72 pound

Hence , the amount of fertilizer required to cover 1 square foot of ground is 0.72

To learn more about proportion click :

https://brainly.com/question/27796974

#SPJ2

Answer:

You're answer is 4/7

Step-by-step explanation:

I hope this helps!

After 4 months, Dalia will have the same number of gems as Grace, and after that, she will have more.

We need to find out when the number of gems Dalia has will exceed the number of gems Grace has.

Let's represent the number of months by "t".

After t months, Dalia will have 20t gems.

After t months, Grace will have 120 - 10t gems.

To find when Dalia will have more gems than Grace, we can set up an inequality:

20t > 120 - 10t

Simplifying the inequality, we get:

30t > 120

Dividing both sides by 30, we get:

t > 4

This means that Dalia will have more gems than Grace after 4 months.

To check our answer, we can substitute t = 4 into the expressions we found earlier:

After 4 months, Dalia will have 20t = 20(4) = 80 gems.

After 4 months, Grace will have 120 - 10t = 120 - 10(4) = 80 gems.

So, we can see that after 4 months, Dalia will have the same number of gems as Grace, and after that, she will have more.

Learn more about inequality here : brainly.com/question/11613554

#SPJ1

Answer:

A) 128

B) 7800

Step-by-step explanation:

Trial and error until I got to 75 x 104 and 60 x 128 (which abides by the fact that there has to be 24 more red boxes) which equals 7800 and 7680 and if you take them away from each other you get 120

Answer:

yesss it does

Step-by-step explanation:

CONGRATULATIONSSSSS

Answer:

Incorrect

Step-by-step explanation:

10x10x10x10 or 10 to the 4th power has 4 0's and 1,000 only has 3. So, 10x10x10x10=10,000

Step-by-step explanation:

a. 4×|-8| = 4×8 =32

b. 2×3+4×7= 6+28 = 34

c. 8×2-6 = 10

d. 5×4+2×6 = 32

Answer:

107

Step-by-step explanation:

3, 7, 11, 15, 19,

23, 27, 31, 35,

39, 43, 47, 51,

55, 59, 63, 67,

71, 75, 79, 83,

87, 91, 95, 99,

103, 107

32nd term is 107

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.

Answer:

5 inches

Step-by-step explanation:

Hope I helped

The calculated value of x at g(x) = 2 is x = 2.5

from the question, we have the following parameters that can be used in our computation:

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

Read more about function at

https://brainly.com/question/27915724

#SPJ1

The explicit formula for calculating the sum is

\(S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}\)

The sum of the nth term of a sequence is expressed as;

\(S_n=\frac{n}{2}(2a+(n-1)d)\)

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

\(S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}\)

Similarly for the sequence:

1 + 2+ 3 + 4+...

\(S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}\)

Taking the product of the sum to get the explicit formula for calculating the sum

\(S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}\)

Learn more here: https://brainly.com/question/24547297

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

Find 25 percent of 24 and subtract from 24

find 25 percent of 24 and multiply by 3

find 75 percent of 24

Step-by-step explanation:

all equal 75 percent of 24

Answer: Find 10% Then half it to find 5%. Times what 10% is by 2 and then add the 5%. Or find out what goes into 24 4 times as it's 25% off and 25 goes into 100 4 times.

HOPE THIS HELPS

The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

learn more about number here

https://brainly.com/question/10547079

#SPJ4

The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

To learn more about  Convergent integral :

Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

Let's solve the inequality

Therefore the solution of the inequality is the set:

Answer:

(~1.6,~-8.6)/(1.599,-8.597)

Step-by-step explanation:

This uses the system of equations, if you'd like to find more examples. First, let's mess with the first equation and solve for the easiest findable variable.

1. 3x+8y = -13 -> x = (-13-8y)/3 & y = (-13-3x)/8

2. Using the x equation because it's easier to use when entering into the second equation, we can get 14(-13-8y/3)

(-182-112y)/3 = -10 = 3y/5 is then our new eqn,

Then, we can make the fractions on the right and left equal and find y

9y/15 = -910-560y/15 ->

9y = -910-560y

569y = -910

y = 1.599

3. Now, insert 1.599 into the first x equation we made, x = (-13-8y)/3

to get x = -8.597

4. Your solution is 1.599, -8.597 or ~1.6,~-8.6

If we have a finite group G and an element x in G, then there must exist a positive power of x which equals its inverse (i.e., x⁻¹ = \(x^{k}\) for some positive integer k).

A finite group is a mathematical object consisting of a set of elements and a binary operation that combines two elements to produce a third. The key feature of a finite group is that the set of elements is finite, meaning it contains only a finite number of elements.

More formally, a finite group is a set G, together with a binary operation * on G, such that:

For any two elements a and b in G, their product a*b is also in G.

The operation * is associative, meaning that for any three elements a, b, and c in G, the product (ab)c is equal to a(bc).

There exists an element e in G, called the identity element, such that for any element a in G, the products ea and ae are both equal to a.

For every element a in G, there exists an inverse element a⁻¹ in G such that the product aa^-1 and a^-1a are both equal to the identity element e.

This statement is saying that if we have a finite group G and an element x in G, then there must exist a positive power of x which equals its inverse (i.e., x⁻¹ = \(x^{k}\) for some positive integer k). This is because if we consider the powers of x, there are only a finite number of possibilities since G is finite. Therefore, at some point, there must be a repetition of a power of x (i.e., \(x^{m}\) = xⁿ for some integers m < n), which means that x^(n-m)\(x^{n-m}\) = 1 (the identity element). Then, we can rewrite x^(n-m-1)\(x^{n-m-1}\) as x⁻¹ and we see that x⁻¹ = \(x^{k}\) for some positive integer k. This statement is important in group theory because it shows that every element in a finite group has a well-defined inverse, which is a key property of groups.

To know more about positive visit:

https://brainly.com/question/28537148

#SPJ1

\(n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}\)

The point (2, -1 , -8) is on the line and the expression (3, 9, 1) represents the family of vectors parallel to the line.

First, we have to find the vector expression of the line function based on the following parametric equations:

t = (x - 2) / 3          (1)

x = 3 · t + 2

t = (y + 1) / 9          (2)

y = 9 · t - 1

t = z + 8                 (3)

z = t - 8

(x, y, z) = (2, - 1, - 8) + t · (3, 9, 1)        (4)

The point (2, -1 , -8) is on the line and the expression (3, 9, 1) represents the family of vectors parallel to the line.

To learn more on vectors: https://brainly.com/question/13322477

#SPJ1