what is the initial value of y=3x+4​

A function can have zero to many parameters, and it can return only one (option c).

In mathematics, a function is a rule that maps each element from one set, called the domain, to a unique element in another set, called the range.

The number of parameters a function can take determines the number of arguments required to call the function.

For instance, a function f(x) takes one parameter, and it requires one argument to be called.

On the other hand, a function g(x,y,z) takes three parameters, and it requires three arguments to be called. However, a function h() takes no parameters and does not require any argument to be called.

Hence the correct option is (c).

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Answer:

$ 4.20

Step-by-step explanation:

He spent $3.63 on apples

$1.80 on peaches

if you subtract both those numbers from $9.63 you get $4.20

So thats the amount he spent on tomatoes

Answer:

50% of 56=28

Step-by-step explanation:

Answer:

50% of 56 = 28

Step-by-step explanation:

50% of 56 = 28

\(2(i+3)>4(1-i)\)

Distribute 2 in (i+3) and 4 in (1-i)

\(2i+6>4-4i\)

Move -4i to another side and 6 to another side. When moving to another side, you'll have to change the sign/operator to opposite (Plus -> Minus, Multiply -> Divide)

\(2i+4i>4-6\\6i>-2\\\)

For this part, move 6 to divide -2.

\(i>\frac{-2}{6} \\i>\frac{-1}{3}\\i>-\frac{1}{3}\)

Whenever either a numerator or a denominator is in negative, we can pull out the negative in the middle of fraction.

Note that i is the symbol of imaginary number - as defined -  i = √-1 But for this one, It's just a variable if I assume.

Thus, the answer is i > -1/3

Answer:

540 inches

Step-by-step explanation:

1 yard equals 36 inches.  Thus, a 15-yard hose has the measurement in inches of (36)(15) = 540

Answer:10

Step-by-step explanation: 14/4= 3.5, 35/3.5=10

Answer:

there are 15 girls in a classroom

Step-by-step explanation:

lets make it simple and short.

given:

ratio of boys to girls in a classroom is 2:3

there are 10 boys in a class room

find:

how many girls are there?

use ratio and proportion

 2    =    3    

  10       girls  

2*girls = 10 * 3

2 girls = 30

girls = 30 / 2

girls = 15

therefore,

there are 15 girls in a classroom

Option B) 1,390,072 is correct. The population of the city after 12 years can be calculated using the formula for compound interest.

To calculate the population of a city after 12 years using the formula for compound interest, we first need to identify the initial population (P0), the annual interest rate (r), and the number of years (n). We can then plug these values into the formula P = P0(1 + r/100)ⁿ. In this case, the initial population is given as 909327, the annual interest rate is 3.6%, and the number of years is 12. By substituting these values into the formula, we get P = 909327 * (1 + 3.6/100)¹² ≈ 1390072, which represents the population of the city after 12 years. Therefore, option B) 1,390,072 is the correct answer.

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Complete question:

The most recent census for a city indicated that there were 909,327 residents. the population of the city is expected to increase at an annual rate of 3.6 percent each year for the next 12 years. what will the population be at that time?

A) 1,491,958

B) 1,390,072

C) 1,440,114

Answer: D

Step-by-step explanation:

First, we see that each flower basket is the variable x. This is because that is what increases per situation. The constant fee no matter the amount of flower baskets for store A is $15, so for store A our equation is

Total spent=19.25x+15

And similarly, for store B it is

Total spent=17.50x+30

Now, to compare them we want to keep store A LESS THAN (<) store B ,

so we get that 19.25x+15<17.50+30, which is D

Answer:

0.45=0.45 so they are either both wrong or both correct

Step-by-step explanation:

both answers are probably correct

The weight average of the coordinates is 1

The given parameters are:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (-2 * 3 + 5 * 1 + 6 * 1)/(3 + 1 + 1)

Evaluate the quotient

Weight average = 1

Hence, the weight average of the coordinates is 1

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The average flow rate of customers per hour at the fast food restaurant is 240 customers.

To calculate the average flow rate of customers per hour at the fast food restaurant, we need to determine the average time it takes for a customer to complete their order and eating.

The total time a customer spends in the restaurant is the sum of the time spent ordering (5 minutes) and the time spent eating (20 minutes), which equals 25 minutes.

To convert this to hours, we divide by 60 (minutes in an hour):

25 minutes / 60 = 0.4167 hours

Now, we can calculate the average flow rate by dividing the number of customers served in an hour by the time each customer spends in the restaurant:

Average flow rate = Number of customers per hour / Time per customer

Since the average number of customers waiting and eating at the restaurant is 100, we can substitute this value:

Average flow rate = 100 customers per hour / 0.4167 hours

Calculating this:

Average flow rate = 240 customers per hour

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Answer:  i dont really knw much bout this but i think its 22.71563

Step-by-step explanation:

Calculates c, ∠B, and ∠A based on given b, a, and ∠C.

c = √b2 + a2 - 2ba·cos(C) = 22.71563

∠B = arccos(

c2 + a2 - b2

2ca

)

= 0.39114 rad = 22.411° = 22°24'39"

∠A = arccos(

c2 + b2 - a2

2cb

)

= 1.70325 rad = 97.589° = 97°35'21"

Area =  

ab·sin(C)

2

= 112.5833

Perimeter p = a + b + c = 58.71563

Semiperimeter s =  

a + b +c

2

= 29.35782

Height ha =  

2×Area

a

= 8.66025

Height hb =  

2×Area

b

= 22.51666

Height hc =  

2×Area

c

= 9.91241

Median ma = √(a/2)2 + c2 - ac·cos(B) = 11.78983

Median mb = √(b/2)2 + a2 - ab·cos(C) = 23.89561

Median mc = √(c/2)2 + b2 - bc·cos(A) = 16.09348

Inradius r =  

Area

s

= 3.83487

Circumradius R =  

a

2sin(A)

= 13.11488

Answer:

42 times

Step-by-step explanation:

Here,

4 hits = 7 times

1 hits= 7/4 times

24 hits = 7/4 × 24

= 42 times.

The number of times that the baseball player makes the hit if he hit 24 hits is 42 times, which is an option (a).

Given that:

A baseball player makes 4 hits every 7 times at bat.

It is required to find the number of times that the player hits if he hit 24 hits.

Number of times that 4 hits are made = 7

Number of times that 1 hit is made = 7/4

So, the number of times that 24 hits are made can be found by the following formula.

Using the proportional concept, the number of times, N, is:

\(N=\frac{7}{4} \times 24\)

   \(=7\times6\)

   \(=42\)

Hence, the correct option is (a).

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The probability that she chose:

(a) Eight banana and 6 coconut cupcakes is; 0.00563

(b) At least 2 chocolate cupcakes is; 0.99997522

(c) All cupcakes of the same kind is; 0.0000000027045

We are told cupcakes at the stand are;

Chocolate = 40

Coconut = 30

Banana = 20

Total number of chocolates = 40 + 30 + 20

Total number of chocolates = 90

a) Probability that she will choose 8 banana and 6 chocolate cakes if she chooses 20 cupcakes at random will be;

(20C₈ × 30C₆ × 40C₆)/90C₂₀

(125970 × 593775 × 3838380)/50980740277700939310

This gives us 0.00563

b) Probability of at least 2 chocolate cupcakes is;

1 - [P(no chocolate) + P(1 chocolate)]

P(no chocolate) = (50C₂₀)/90C₂₀

P(1 chocolate) = (40C₁ × 50C₁₉)/90C₂₀

Thus;

1 - [P(no chocolate) + P(1 chocolate)] = 1 - [(40C₁ × 50C₁₉) + 50C₂₀]/90C₂₀

This gives us; 0.99997522

c) Probability of getting all cupcakes of same kind is;

(40C₂₀ + 20C₂₀ + 30C₂₀)/90C₂₀

⇒ 0.0000000027045

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Complete question is;

A cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. Alice chooses 20 cupcakes at random to create a box as a present for her friend.

What is the probability that she chose:

(a) Eight banana and 6 coconut cupcakes?

(b) At least 2 chocolate cupcakes?

(c) All cupcakes of the same kind?

Answer:

\(x = \sqrt{13} \)

Step-by-step explanation:

\(x = \sqrt{ {2}^{2} + {3}^{2} } = \sqrt{4 + 9} = \sqrt{13} \)

Answer:

-3/1 or -3

Step-by-step explanation:

you have to go down three from where the line crosses at a point then move over one to get to the next crossing point and that's the answer

Answer:

-3/1

Step-by-step explanation:

i think thats the answer

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

\(4n + 3(n - 5) + 2 \\ \\ = 4n + 3n - 15 + 2\\ \\ = 7n - 13\)

Answer:

 B.  4200

Step-by-step explanation:

A suitable calculator can add the terms for you. (See attached)

__

The first term is 69, and the common difference is 75-69 = 6. The general term is ...

  an = a1 +d(n -1)

  an = 69 +6(n -1)

Then the 28th term is ...

  a28 = 69 +6(27) = 231

The average term is (a28 +a1)/2 = (231 +69)/2 = 150.

The sum is the number of terms multiplied by the average term:

  sum = 28×150= 4200

Answer: 12

Step-by-step explanation:

Although you have not included which value is the hypotenuse or if they are legs, I will assume the hypotenuse is 20, due to the triangle appearing to be a multiple of the standard 3-4-5 triangle.

The pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse.  Thus, plug in the values to get:

\(16^2+b^2=20^2\)

\(256+b^2=400\)

\(b^2=144\)

\(b=12\)

There cannot be a point P on altitude BD that is equidistant from A and C, as this would mean that the two smaller triangles are congruent. This is because the altitude BD divides the triangle into two smaller triangles, ABD and CBD. If AB is unequal to BC, then these two smaller triangles cannot be congruent.

To prove this, let's assume that there is a point P on altitude BD that is equidistant from A and C. This would mean that AP = CP. However, since AB is unequal to BC, we know that AD is not equal to DC. Therefore, the triangles ABD and CBD are not congruent, and there cannot be a point P on altitude BD that is equidistant from A and C.

In conclusion, if AB is unequal to BC, then there does not exist a point P on altitude BD that is equidistant from A and C. This is because the altitude BD divides the triangle into two smaller triangles that cannot be congruent if AB is unequal to BC.

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The data point 1.8 falls outside the range of 1.798, so it can be considered an outlier.

An outlier is a data point that is significantly different from other data points in a data set. Outliers can occur due to errors in data collection or measurement, or they can be legitimate data points that are simply far outside the range of the other data. In statistical analysis, it is important to identify outliers and decide whether to remove them from the data set or keep them and analyse them separately.

There are several methods for identifying outliers, including graphical methods and statistical methods such as the use of z-scores or the interquartile range.

To identify outliers in this data, we can start by calculating some basic statistical measures such as the mean and standard deviation.

The mean of the given data is:

(1.11 + 1.13 + 1.40 + 1.32 + 1.14 + 1.28 + 1.13 + 1.8 + 1.10 + 1.20) / 10 = 1.304

The standard deviation of this data is:

sqrt(((1.11 - 1.304)²  + (1.13 - 1.304)² + (1.40 - 1.304)² + (1.32 - 1.304)² + (1.14 - 1.304)² + (1.28 - 1.304)² + (1.13 - 1.304)² + (1.8 - 1.304)² + (1.10 - 1.304)² + (1.20 - 1.304)^2) / 9) = 0.247

One common rule of thumb for identifying outliers is to consider any data point that falls more than 2 or 3 standard deviations from the mean to be an outlier. Using this rule, we can identify any values that fall outside the range:

1.304 - 2 * 0.247 = 0.81

1.304 + 2 * 0.247 = 1.798

1.304 - 3 * 0.247 = 0.563

1.304 + 3 * 0.247 = 2.045

Based on this rule, we can see that the data point 1.8 falls outside the range of 1.798, so it can be considered an outlier.

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The net sales in the department during the month of april is $15960.

Sell-thru perecentage rate = Units sold / Units recieved

In our case:

Net sales = (Sell-thru rate)*(opening inventory)

Net sales = (0.28)*($57000)

= $15960

Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.

Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.

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The value of f(1) will be 45.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(n) = 45.(4/5)ⁿ⁻¹

To calculate the value of f(1) we will substitute the value of the n by 1.

f(1) = 45.(4/5)¹⁻¹

f(1) = 45.(4/5)⁰

f(1) = 45

To calculate the value of f(n -1) we will substitute the value of the n by

n - 1.

f(n -1) = 45.(4/5)ⁿ⁻¹⁻¹

that can also be written as, from the rule of power

f(n -1) = (45.(4/5)ⁿ⁻¹)/4/5

f(n -1) = (45.(4/5)ⁿ⁻¹) * 5/4

f(n -1) = f(n) * 5/4

so,

f(n) = f(n-1) * 4/5

Therefore, the value of f(1) will be 45, and the value of f(n) = f(n-11)*4/5.

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Answer: then Tom has 21$

Step-by-step explanation:the ratio is just a fancy way of saying Tom has 7 dollars for every 13 dollars bill has so if bill has 39 dollars 39 dollars divided by 13 is 3 meaning Tom would do 7x3

Answer:

A. (0,4)

Step-by-step explanation:

You can calculate the y intercept when x = 0.

Substitute 0 for x:

y = (-4/3)(0) + 4

= 0 + 4

= 4