Please help it’s easy!
In a relation, the input is the number of people and the output is the number
of umbrellas.
Is this relation a function? Why or why not?
O A. No, because the same number of people might have a different
number of umbrellas.
B. Yes, because a given number of people always has the same
number of umbrellas.
C. Yes, because each person has one umbrella.
D. No, because you do not know how many people there are.

Answer:

if it is just the 10+36-6 then that is 40 but then if it is 2/5 10+36-6 then that would be 16

Step-by-step explanation:

add 10 and 36 which is 46 then subtract 6 which is 40 then get the 2/5 which would be 16 hope this helps you

Answer: x=-3

Step-by-step explanation:

Answer:

V(small) = 352 milliliters

the capacity of the smaller container is 352 milliliters

Step-by-step explanation:

Given that the two containers are similar, their dimensions follows the same ratio.

Ratio of their length;

Length(smaller) =30 cm

Length(larger) = 75 cm

Ratio = Length(smaller)/Length(larger) = 30cm/75cm

Length Ratio = 2/5

The ratio of their Volumes will be;

Ratio of volume = ratio of length raised to power three.

Rv = Rl^3

Rv = (2/5)^3

Rv = 8/125

The volume of the smaller container;

V(small) = Rv × V(large)

Volume of larger container V(large) = 5.5 litres

substituting the values;

V(small) = 8/125 × 5.5 litres

V(small) = 0.352 litres

V(small) = 352 milliliters

the capacity of the smaller container is 352 milliliters

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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Step-by-step explanation:

if this factorisation because I think you alr simplified, but here's the answer for factorisation anyways.

you can text me below in the comments section if that's not you want, I will try to answer if I can!!!

Answer:

3y(y - 2)(y - 1)

Step-by-step explanation:

Simplify by factoring

3y(y² - 3y + 2)

= 3y(y - 2)(y - 1)

The ratio of shots made by Beth to the total number of shots attempted as a decimal is 0.6.

To write the ratio of the number of shots made by Beth to the total number of shots attempted by Beth as a decimal, we simply divide the number of shots made by the total number of shots attempted.

So, if Beth made 6 shots out of 10 attempted, we would write this as:

6/10

To convert this fraction to a decimal, we can divide the numerator (6) by the denominator (10).

6 ÷ 10 = 0.6

This can also be written as a percentage by multiplying the decimal by 100:

0.6 × 100 = 60%

Therefore, Beth made 60% of her shots.

It's important to note that decimals are just another way to represent fractions, and they are commonly used in everyday life and in mathematical operations.

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Answer:

3/10 is 1/20 greater than 2/8.

Step-by-step explanation:

3/10 - 2/8

= 12/40 - 10/40

= 2/40

= 1/20

The following equation models a nonlinear function: y = x(1 + x) + 4.

A nonlinear function is a function whose plotted graph does not form a straight line but a curved line. The exponent of the variable in a nonlinear equation is greater than 1.

Here, y=-5x+7 is a linear function.

y= x/5 + 10 is a linear function.

y = x+ 10 is a linear function.

3y = 6x-9 is a linear function.

y= x(1 + x) + 4 is a quadratic function.

Therefore, the following equation models a nonlinear function: y = x(1 + x) + 4.

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The initial value problem, 2y″ + y = f(t), y(0) = 0, y′(0) = −1, where f(t) is defined as {2, 0 < t ≤ 2, 0, t > 2}, can be solved using Laplace transforms.

To solve the initial value problem using Laplace transforms, we first take the Laplace transform of the given differential equation. Applying the Laplace transform to the equation, we get 2s²Y(s) + Y(s) = F(s), where Y(s) and F(s) are the Laplace transforms of y(t) and f(t) respectively.

Next, we substitute the initial conditions y(0) = 0 and y′(0) = −1 into the transformed equation. Using the Laplace transform property for initial value conditions, we have Y(s) = Y(s) - 1/s.

Simplifying the equation, we can express Y(s) in terms of F(s) as Y(s) = F(s) / (2s² + 1) + 1/s.

Finally, we need to take the inverse Laplace transform of Y(s) to obtain the solution y(t). The inverse Laplace transform of F(s) / (2s² + 1) can be determined using partial fraction decomposition, and the inverse Laplace transform of 1/s is simply a ramp function.

Thus, by taking the inverse Laplace transform of Y(s), we can obtain the solution y(t) for the given initial value problem.

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Answer:

30 mn

Step-by-step explanation:

You need to calculate :

60 × 50% = 60×(50÷100)

                =3000÷100

                = 30

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

See the solution below ~

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

a.) The required expression is ~

here, k = proportionality constant ~

b.) Let's find the equation by Plugging the values as " x = 4 and y = 2 ~

now, the value of k can be determined ~

c.) find the value of x when y = 4 ~

Plugging the value of x as 4 and k as 50, we get ~

I hope it helped ~

Let's assume that one of the two pieces weighs 13 grams, and the other piece weighs x grams. Then we can write:

20 = 13 + x (since the sum of the two pieces should be equal to the original weight of the stone)

Squaring both sides, we get:

400 = 169 + 26x + x^2

Simplifying, we get:

x^2 + 26x - 231 = 0

We can now use the quadratic formula to solve for x:

x = (-26 ± sqrt(26^2 - 4(1)(-231))) / 2(1)

x = (-26 ± sqrt(1376)) / 2

x = (-26 ± 37.07) / 2

x = 5.54 or x = -31.54

Since the mass of the second piece cannot be negative, it follows that x = 5.54 grams.

Therefore, if one of the two pieces weighs 13 grams, then the other piece weighs 5.54 grams. We can now check that the sum of the two pieces is indeed equal to the original weight of the stone:

13 + 5.54 = 18.54

And we can also calculate the value of each piece:

Value of the 13-gram piece = 13^2 = 169 euros

Value of the 5.54-gram piece = 5.54^2 = 30.7 euros

The total value of the two pieces is:

169 + 30.7 = 199.7 euros

We can see that the total value of the two pieces is less than the value of the original stone, which was:

20^2 = 400 euros

This is due to the fact that the stone lost some of its mass when it broke into two pieces.

Answer:

D

Step-by-step explanation:

After you get the answer then you should feel in the d with the number. Example:

-20D=40

Divide both sides by -20

D=-2

So know you should fill in d

-20(-2)=40

40=40

True

Step-by-step explanation:

i think there is something missing.

does this mean the 6 students paint 1/4 of the wall ?

so, each student then paints 1/6 of the 1/4 wall.

that means

1/4 / 6 = 1/4 / 6/1

now, remember, to divide by a fraction is the same as multiplying with the upside-down fraction.

so,

1/4 / 6/1 = 1/4 × 1/6 = 1/(4×6) = 1/24

every student is therefore painting 1/24 of the wall.

The solution to simplification of the algebraic expression is:

B. 4p²r³ + 10p³r³ - 30p²r²

An algebraic expression in mathematics is defined as an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

We are given the algebraic expression as:

2pr²(2pr + 5p²r − 15p)

Multiplying out the bracket gives:

4p²r³ + 10p³r³ - 30p²r²

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Answer:

8x + x^2

Step-by-step explanation:

See attached image

Answer:

A composite function is a function that depends on another function.

ask me if you need more details!! :3

Answer:

{\(t|0\leq t\leq 50\)}

Step-by-step explanation:

We are given that

In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet

The skydiver drops towards earth at a rate=175 ft/s

The height of the skydiver from the ground can be modeled using the function

\(H(t)=10000-175t\)

We have to find the domain of the function for this situation.

When t=0

Then ,\(H(0)=10,000 feet\)

From given graph we can see that the value of t  lies  from 0 to 50.

Therefore, the domain of the function for this situation is given by

{\(t|0\leq t\leq 50\)}

Answer:

B. 393,660

Step-by-step explanation:

lemme get Brainliest please

Answer:

B. 393,660

Step-by-step explanation:

I plugged it into the symbolab calculator and attached the steps below! Hope this helps!

Based on the given exponential growth, the number of people that would have died of AIDS in 2003 if the trend had continued unchecked is 396,214.

Using exponential growth, we can predict the number of individuals who would have died if the trend had continued unchecked. To figure out the number of people who would have died from AIDS in 2003, we must first determine the growth factor or common ratio or growth multiplier. R = 1.9

The exponential growth equation is of the form:

N = N₀*R^t

where N = the final value (the number of people who would have died from AIDS in 2003), N₀ = the initial value (the number of people who died from AIDS in 1983), t = the time elapsed (in this case, 2003 - 1983 = 20 years), and R = the growth factor

Putting these values in the formula,

N = 1600 * 1.9^20 = 1600 * 247.634 = 396,214.4 (approx)

Therefore, approximately 396,214 people would have died of AIDS in 2003 if the trend had continued unchecked.

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To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

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Answer:

Step-by-step explanation:

3 = 1(1 + x)^4

let q = 1 + x

3 = q^4

ln(3)  = 4  ln(q)

ln(3)/4 = ln(q)

.274 = ln(q)

q = e^.274 = 1.316

x = .316

Future amount = 48(1+.316)^4

Future amount = 143.96

In the schedule of cost of goods sold, the cost of goods available for sale represents the total cost of all goods that were available for sale during a particular period.

The schedule of cost of goods sold is an important financial statement that shows the cost of goods that a company has sold during a particular period. The cost of goods available for sale is a key component of this statement and represents the total cost of all goods that were available for sale during the period.

The cost of goods available for sale is calculated by adding the beginning inventory to the cost of goods purchased during the period. This calculation gives the total cost of all goods that a company had available for sale during the period.

Once the cost of goods available for sale is determined, the cost of goods sold can be calculated by subtracting the ending inventory from the cost of goods available for sale. This calculation gives the cost of all goods that were sold during the period.

Overall, the schedule of cost of goods sold is an important financial statement that helps companies track their inventory and understand their cost of goods sold. The cost of goods available for sale is a critical component of this statement and represents the total cost of all goods that a company had available for sale during a particular period.

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Answer:

4/52

Step-by-step explanation:

the probability of getting a 7 is 4/52. Also, the probability of receiving red is exactly 26/52

Step-by-step explanation:

in 24 hours they will drink 32.7 cups

in 18 hours they will drink 24.3

32.7+24.3=56.7

Answer:

y intercept...........

Answer:

y-intersept

Step-by-step explanation:

because its where the only point on the y line is

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

373248000000000 I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B

You can see that each foot of fencing is $4, so 4 multiplied by the number of feet of fencing gives you the total cost.