1. Canada's population is currently increasing at a rate of 1.4% per year. If our current population is 37 590 000, what will our population be next year?

2. A bag of potato chips costs about $0.50 to make. If they are sold for 336% of the wholesale price, what do they cost in stores?

3.In a bicycle store, a $500 bicycle is marked, "Get a 36% discount." What is the sale price of the bicycle?

Answer: 22

17 1/2= 17.5

4 1/2= 4.5

17.5 + 4.5 = 22

Answer:

22

Step-by-step explanation:

Firstly you should convert the mixed fraction in inproper fraction. So in this question the denominator are same thus, we can add the in proper fractions and we will get our answer.

Answer:

The number of chains in each fileiras = 28.

Step-by-step explanation:

Total number of chains = 224

Number of fileiras = 8

Number of chains in each fileiras is given by the divison of total number of chains to the number filerias.

\(\frac{224}{8}\\\\=28\)

Answer:

x = 1 and y = 1

Step-by-step explanation:

Let's solve your system by elimination.

2x − y = 1 and x − 2y = −1

Multiply the second equation by -2, then add the equations together.

(2x−y=1)

−2(x−2y=−1)

Becomes:

2x−y=1

−2x+4y=2

Add these equations to eliminate x:

3y=3

Then solve3y=3for y:

3y=3

3y3=33(Divide both sides by 3)

y=1

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x−y=1

Substitute1foryin2x−y=1:

2x−1=1

2x−1+1=1+1(Add 1 to both sides)

2x=2

2x2=22(Divide both sides by 2)

x=1

Answer:

x=1 and y=1

Answer:x=1, y=1 point (1,1)

Step-by-step explanation:

Answer:

\(x = \frac{ - 3± \sqrt{11} }{2} \)

Step-by-step explanation:

Please see the attached picture for the full solution.

As per the given density function, the value of c is 0.

Density function:

Density function is an integral of the density of the variable density over a given range.

Given,

A skilled worked requires at least 10 minutes, and no more than 20 minutes, to complete a certain task. The completion time X is a continuous random variable with density function f(x) = c/x² for 10 < x < 20 and f(x) = 0 for all other values of x.

Here we need to find the value of c.

While we looking into the given question,

Least time = 10

Maximum time = 20

Density function = f(x) = c/x²

In order to find the value of c, we have to equate the function with 0, then we get,

=> c/x² = 0

=> c = 0

Therefore, the value of c is 0.

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Answer:

Amplitude = 3

Period = π

Step-by-step explanation:

\(\boxed{\begin{minipage}{8.7cm}\underline{Standard form of a cosecant function}\\\\$y=A\csc(Bx)$\\\\where:\\\\\phantom{ww}$\bullet$ $|A|$ is the stretch factor. \\ \\\phantom{ww}$\bullet$ $\dfrac{2\pi}{|B|}$ is the period.\\\\\phantom{ww}$\bullet$ $x=\dfrac{\pi}{|B|}$ is the interval of vertical asymptotes.\\\end{minipage}}\)

Given function:

\(f(x)=3 \csc 2x\)

Therefore:

Period

\(\textsf{Period} = \dfrac{2 \pi}{|B|}=\dfrac{2 \pi}{|2|}=\pi\)

Amplitude

The amplitude of the given function is 3, so:

x-values of minimum points

\(\begin{aligned}3\csc(2x)=3 \implies \csc(2x)&=1\\\dfrac{1}{\sin(2x)}&=1\\\sin(2x)&=1\\2x&=\dfrac{\pi}{2}+2\pi n\\x&=\dfrac{\pi}{4}+\pi n \end{aligned}\)

\(\implies \textsf{Minimum points}: \left(\dfrac{\pi}{4}\pm \pi n,3 \right)\)

x-values of maximum points

\(\begin{aligned}3\csc(2x)=-3 \implies \csc(2x)&=-1\\\dfrac{1}{\sin(2x)}&=-1\\\sin(2x)&=-1\\2x&=-\dfrac{\pi}{2}+2\pi n\\x&=-\dfrac{\pi}{4}+\pi n \end{aligned}\)

\(\implies \textsf{Maximum points}: \left(-\dfrac{\pi}{4}\pm \pi n,-3 \right)\)

Asymptotes:

\(\implies x=\dfrac{\pi}{|B|}=\dfrac{\pi}{|2|}=\dfrac{1}{2} \pi\)

Therefore, there are vertical asymptotes every ¹/₂π.

To graph the given function:

In reality, however, the two drugs do not differ. This is an example of a Type I errors.

In statistics, a Type I error, also known as a false positive or alpha error, occurs when a null hypothesis that is actually true is rejected. In the context of the given randomized trial, the null hypothesis states that there is no difference between the efficacy of the two drugs.

However, due to random chance or other factors, the trial yielded a statistically significant difference (with a P value < 0.05) between the drugs, leading to the rejection of the null hypothesis.

In reality, since the two drugs do not actually differ in efficacy, the observed difference is likely due to random sampling variability or experimental error. A Type I error can occur when the significance level (alpha) used in the hypothesis test is set too low, leading to a higher likelihood of rejecting the null hypothesis incorrectly.

It is essential to consider Type I errors and carefully interpret the significance of study findings to avoid drawing erroneous conclusions based on statistical significance alone.

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Answer:

Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.

Answer:

33493.33

Step-by-step explanation:

A potential problem that can arise from the continual remodeling of bone matrix is an imbalance between bone resorption and bone formation, leading to weakened or compromised bone structure.

The continual remodeling of bone matrix is a dynamic process in which old bone tissue is resorbed by specialized cells called osteoclasts, and new bone tissue is formed by osteoblasts. This remodeling process allows for the renewal and repair of bone, as well as the adaptation of bone structure to changing mechanical demands.

However, if there is an imbalance between bone resorption and bone formation, it can lead to potential problems. Excessive bone resorption without adequate bone formation can result in a net loss of bone mass, leading to conditions such as osteoporosis, where bones become weak and brittle. On the other hand, excessive bone formation without sufficient bone resorption can lead to abnormal bone growth and density, which may contribute to conditions like osteopetrosis.

Maintaining a balance between bone resorption and bone formation is crucial for healthy bone remodeling. Factors such as hormonal imbalances, nutritional deficiencies, certain medications, and aging can disrupt this balance, leading to potential problems with bone health and structure. Regular monitoring and appropriate interventions are important in managing and preventing these issues.

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Answer:

John has a phone plan that has a $5 initial fee and costs $0.5 per call. How much money would John spend if he has made 17 calls?

a. The original relation "PhoneApp" is in the second normal form (2NF).

b. To achieve the third normal form (3NF), we created a new relation "AppVendor" to remove the transitive dependency.

c. The final modified relation "PhoneApp" and the new relation "AppVendor" are now in the third normal form (3NF).

The given set of attributes can be organized into a relation named "PhoneApp." Let's evaluate the normal form of the current organization and then proceed to get it into the third normal form (3NF).

1. Determining the current normal form:
To determine the normal form, we need to check for any functional dependencies and partial dependencies.

Given functional dependencies:
- FD: PhoneID --> PhoneMake, PhoneModel
- FD: UserID --> UserName, UserDateOfBirth
- FD: AppID --> AppName, AppVendorID, AppPrice
- FD: AppVendorID --> VendorName, VendorCity
- FD: PhoneID, UserID > AppID, AppInstallDate

Based on these dependencies, we can identify that there are no partial dependencies, meaning that no non-key attribute depends on only a part of the candidate key. Therefore, the relation is already in the second normal form (2NF).

2. Getting the relation into the third normal form (3NF):
To achieve 3NF, we need to eliminate any transitive dependencies.

The given functional dependencies reveal a transitive dependency: AppID --> AppVendorID --> VendorName, VendorCity. To remove this dependency, we need to create a new relation.

Intermediate stage 1:
Create a new relation named "AppVendor" with attributes: AppVendorID, VendorName, VendorCity.
The primary key of this relation is AppVendorID.

Intermediate stage 2:
Modify the original relation "PhoneApp" by removing the attributes VendorName and VendorCity.
The modified relation "PhoneApp" now consists of attributes: PhoneID, UserID, PhoneMake, PhoneModel, UserName, UserDateOfBirth, AppID, AppName, AppPrice, AppInstallDate.
The primary key of this relation remains unchanged: PhoneID, UserID.

Now, the relation "PhoneApp" is in the third normal form (3NF), as there are no transitive dependencies.

In summary:
This explanation provides a step-by-step approach to evaluating the normal form and transforming the given relation into the 3NF. It also considers the functional dependencies and their impact on the normalization process.

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Answer:

percentage loss = 20%

Step-by-step explanation:

percentage loss is calculated as

\(\frac{loss}{CP}\) × 100% ( CP is the cost price )

loss = SP - CP ( SP is selling price )

loss = CP - SP = 350 - 280 = 70 , then

percentage loss = \(\frac{70}{350}\) × 100% = 0.2 × 100% = 20%

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

Answer:

y = 1/4x + 1

Step-by-step explanation:

x - 4y = 4

x - 4 = 4y

1/4x - 4/4 = y

1/4x -1 = y

Slope: 1/4

Point: (-8,-1)

y-intercept = -1 - (1/4)(-8)=

-1 + 2 = 1

Answer:

Step-by-step explanation:

Answer:

? = 16

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan ? = opp side / adj

tan ? = 13 / 46

Taking the inverse tan of each side

tan ^ -1 ( tan ? ) = tan ^-1 ( 13/46)

? = 15.78075

To the nearest degree

? = 16

There are two methods of solving systems of equations:

Substitution is where we substitute one equation into the other by isolating a certain variable, or a group of terms.

Elimination is where we subtract the two equations. Before doing this, we may have to multiply one equation by a certain number to make sure one variable cancels out.

We're given the following equations:

Because they are organized in the same manner (i.e. x [operation] y [equals] number), it is easier for us to use elimination.

First, multiply the first equation by 2:

\(x + 3y = 7\\2(x + 3y) = 2(7)\\2x + 6y = 14\)

Now, subtract the second equation from the one we just created:

\(\hspace{10}2x + 6y = 14\\-2x + 4y = 11\\\rule{67}{0.3}\\2y=3\)

Solve for y:

\(y=\dfrac{3}{2}\)

To solve for x, we can use substitution in the first equation:

\(x + 3y = 7\\\\x + 3(\dfrac{3}{2}) = 7\\\\x + \dfrac{9}{2} = 7\\\\x = 7- \dfrac{9}{2}\\\\x = 7- 4.5\\\\x = 2.5\\\\x=\dfrac{5}{2}\)

\(x=\dfrac{5}{2}\)

\(y=\dfrac{3}{2}\)

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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Answer:

9.043

Step-by-step explanation:

i just divide

Answer: 9.043 centimeters/grams

Step-by-step explanation:

All you have to do it divide!

Answer:

Area: 2(15 + (x - 5))

Perimeter: 2(15)+2(x - 5)

Step-by-step explanation:

To find area you need to add the two sides together and multiply by two, this is as far as you can get with x.

Area: 2(15 + (x - 5))

To find perimeter, you need to find the singular lengths and multiply by two so this is as far as you can get.

Perimeter: 2(15)+2(x - 5)

Hope this helped.

Answer:

The fraction of the pencils that are red is 4/10. The fraction of the pencils that are black is 6/10.

Step-by-step explanation:

[I can't draw you a model but I reccomend that when you do, you seperate it into 10 pieces and mark 4 as red pencils and 6 as black pencils. You could also simplify 4/10 to 2/5 and 6/10 to 3/5, but instead you'd seperate the model into 5 pieces and mark 2 as red pencils and 3 as black pencils.]

First, let's add this up so we have our denominator.

4 + 6 = 10.

Now that we know that the denominator is 10, we apply it to the question.

The box has 4/10 red pencils and 6/10 black pencils.

The box has 4/10 red pencils and 6/10 black pencils.If you were to simplify, it'd be 2/5 red pencils and 3/5 black pencils.

Answer:

the red dot is the given point.

Step-by-step explanation:

Answer:

1 food

2 happines

3 live hood

4 help

5 income

Answer:

D

Step-by-step explanation:

It is on the line so it is a solution, hope this helps

Answer:

i think its c not sure tho

Step-by-step explanation:

Answer:

i need the answer too lol

Step-by-step explanation:

Answer:

15 m

Step-by-step explanation:

Answer:

y = 5^x + 2

Step-by-step explanation:

The function with a range of (2, ∞) is y = 5^x + 2.

To see why, let's analyze each function in turn:

y = 2 ^ x

As x increases, 2^x increases, but it never reaches 2. The range of this function is therefore (0, 2).

y = 2(5 ^ x)

As x increases, 5^x increases and 2(5^x) increases as well. Since 5^x can be arbitrarily large, 2(5^x) can also be arbitrarily large. Therefore, the range of this function is not (2, ∞).

y = 5 ^ (x + 2)

As x increases, 5^(x+2) increases, but it never reaches 5^2 = 25. The range of this function is therefore (0, 25).

y = 5 ^ x + 2

This function can be interpreted in two ways: either as 5^(x+2), or as (5^x) + 2. If we interpret it as 5^(x+2), the range is (5^2, ∞) = (25, ∞). If we interpret it as (5^x) + 2, then the range is (2, ∞).

Therefore, the function with a range of (2, ∞) is y = 5^x + 2.

Answer:

Try using an interest calculator

Step-by-step explanation:

It's a life saver!