What is 8.7% of $1,541

Answer:

Step-by-step explanation:

Recall the following. Given a function f we say that  

f is one to one if for x,y in the domain of f and f(x)=f(y) then x=y.

This means that there are no different elements in the domain of the function  that are linked to the same value.

f is onto if for every y in the codomain of f, then there is an element x in the domain of f such that f(x) = y. That is, given an element y in the codomain of f, there exists and element in the domain that is linked to y.

a)  

f(a) =b, f(b)=a, f(c) = c, f(d) = d. Note that this function links each element in {a,b,c,d} to different elements in {a,b,c,d}, so it is a one to one function. Since for every element x in {a,b,c,d} there is an element y in {a,b,c,d} such that f(y) = x, then this function is also onto.  

b)  

f(a)=b, f(b) = b, f(c) = d, f(d) = c. Note that the elements a,b are linked both to b, so this function fails to be one-to-one. Also, note that the element a has no element x in {a,b,c,d} such that f(x) = a, so this function fails to be onto.  

c)  

f(a) = d, f(b) = b, f(c) = c, f(d) = d.  

As in b), since a and d are linked to d, then this function is not one to one. Also, since the element a has no element x in {a,b,c,d} such that f(x) = a, then it also fails to be onto.  

Answer:

Hi! The answer to your question is Lillian's paper flew \(\frac{1}{4}\) feet further than Issac's

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

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Answer:

3/12 or 1/4 foot.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

0.3756

Step-by-step explanation:

I believe this is a combinatorics probability problem.

We first figure out in how many ways we can choose 3 cats out of 14 cats

Then we figure out how many ways we can choose 2 dogs out of 7 dogs

The total number of ways to select 3 cats and 2 dogs will be the product of these two

We then figure out in how many ways we can select 5 animals out of a total of 21 animals

The product we computed divided by the above number will give the probability

The number of ways we can choose k items out of n items is given by nCk i.e n Choose k

The formula is rather complicated but almost all calculators should be able to compute this given n and k

Let's deal with the selection of 3 cats from the population of 14 cats

This is given by 14C₃ which works out to 364

Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21

Number of ways of selecting 5 animals from 21 = 21C₅ = 20349

The probability of selecting 3 cats and 2 dogs is therefore:

\(\dfrac{364 \times 21}{20349} = 0.3756\)

That, I believe is the answer. Please let me know if it is correct and if you need more info.

The value of tan(80°) × tan(10°) + sin(70°) + sin(20°) ​= 2.28171276

Trigonometry is the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). These six trigonometric functions in relation to a right triangle are displayed in the figure.

Given:

tan(80°) × tan(10°) + sin(70°) + sin(20°)

Using Trigonometric identity

sin (A · B) = sin A cos B - cos A sin B

So, tan(80°) × tan(10°) + sin(70°) + sin(20°)

\(\rightarrow \tan (80 \times 10)=1\)

\(\rightarrow\sin(70^\circ+20^\circ)=1.28171276\)

\(\rightarrow 1.28171276+1=\bold{2.28171276}\)

Hence,  tan(80°) × tan(10°) + sin(70°) + sin(20°) = 2.28171276

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Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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Answer:

man thats cool

Step-by-step explanation:

Answer:

an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal is:

f (p) = 4.50p + 40

the number of pairs of shoes he must sell to meet his daily earnings goal is:

p = 16 (pair of shoes)

10% trimmed mean of the given data is xbar20 = 0.3269

In between the mean and the median, the trimmed means have some of the advantages of both without some of the disadvantages.

The 10% trimmed mean is the mean computed by excluding the 10% largest and 10% smallest values from the sample and taking the arithmetic mean of the remaining 80% of the sample (other trimmed means are possible: 5%, 20%, etc.

The 10% trimmed means omits 0.278 and 0.326 and yields

xbar10 =  0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 20

= 5.885 / 20

= 0.29

xbar = 1.29 and xbar = 1

Trimmed means are examples of robust statistics (resistant to gross error).

The 20% trimmed mean excludes the 2 smallest and 2 largest values in the sample above, and

xbar20 = 0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 18

xbar20 = 0.3269

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Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

The amount Stefan spent originally to buy the bike is; $100.91.

The amount Stefan made in profit by selling the bicycle and helmet to Jin is; $10.09.

According to the task content;

Stefan sold the bicycle and helmet for a total of;

104 + 17 = $111.

Also, since the total cost ($111) for Jin is 110% of what Stefan spent to buy the bicycle and helmet, x originally; we have

110% × x = 111

x = (111 × 100) / 110

x = $100.91.

Therefore, Stefan spent $100.91 originally to buy the bike and helmet.

Consequently, the money Stefan made by selling the bicycle and helmet to Jin is; 111 - 100.91 = $10.09.

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The statement "the sum of a two-digit number is less than the value of the original two-digit number" can be rewritten as conditional statement. If the sum of two digits of a two-digit number is less than the value of the original two-digit number, the number is valid.

A conditional statement, "if p, then q," with p representing the hypothesis and q representing the conclusion. We can identify the hypothesis and conclusion by rewriting the statement "the sum of the digits of a two-digit number is less than the value of the original two-digit number" as an if-then conditional statement.

The hypothesis is the condition that must be satisfied in order to valid the conclusion. In this case, the hypothesis is "the sum of the digits of a two-digit number is less than the value of the original two-digit number".

By combining these, we can rewrite the statement as follows:

If the sum of a two-digit number's digits is less than the value of the original two-digit number, the number is valid.

The hypothesis (the sum of the digits of a two-digit number is less than the value of the original two-digit number) is a sufficient condition for the conclusion, according to this conditional statement (the number is valid). In other words, if the hypothesis is correct, we can be certain that the conclusion is correct as well.

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Answer:

\(\frac{da}{dt}=-95.2m/s^2\)

Step-by-step explanation:

From the question we are told that:

Slant height \(h=13ft\)

Velocity \(v=\frac{dx}{dt}=8\)

Distance \(d=12ft\)

Generally the equation for area is mathematically given by

\(A=0.5*x*sqrt(169 - x^2)\)

Differentiating

\(\frac{da}{dx}=\frac{169-2 x^2}{(2 sqrt(169-x^2))}\)

Multiplying through by dx/dt

\(\frac{da}{dx}*\frac{dx}{dt}=\frac{169-2 x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}\)

\(\frac{da}{dt}=\frac{169-2x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}\)

\(\frac{da}{dt}=\frac{169-(2*12^{2})}{2*\sqrt{(169-12^{2})}}*8\)

\(\frac{da}{dt}=-95.2m/s^2\)

After 24 years, the amount will be $40,000

What is annual interest rate?

An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Formula:

a(t) = p*2^(t/8)

given, t=24 , p =5000

a(24) = 5000*2^(24/8)

a(24) = 5000*2^3

a(24) = 5000*8

a(24) = $40,000

Thus, after 24 years, the amount will be $40,000

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Answer:

6

Step-by-step explanation:

((3*3-3)^2)/6

((9-3)^2)/6

6^2/6

36/6

=6

Hope this helped! :)

Answer:

3×3-3 to the power of 2 diveded by 3+3= my answer is 15

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

mom this u?

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

B

Step-by-step explanation: I got this right on the quiz.

Step 1: Obtain the system of linear equations that expresses the problem:

Let us denote by x the cost of each rose and by y the cost of each lily.

According to the problem, the first order is 1 rose and 6 lilies, the cost is 72 dollars:

This gives us the following linear equation:

Equation 1:

Now, the second order is:

2 roses and 3 lilies and the cost is 45 dollars.

This gives us the following linear equation:

Step 2: write the system of linear equations:

Equation 1:

Equation 2:

In the elimination method, you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

In this case, we can subtract equation 1 twice from equation 2:

Applying the distributive property, this is equivalent to:

notice that now we can eliminate 2x from the above equation. Now this is equivalent to:

this is equivalent to:

or

solving for y, we obtain:

now, to find x, we can apply the above value to equation 1 and solve for x:

this is equivalent to:

solving for x, we get:

we can conclude that the correct answer is:

x = Cost of each rose = $6

y = Cost of each lily = $11

Step-by-step explanation:

Answer:

I = $ 120.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 2000 × 0.03 × 2 = 120

I = $ 120.00

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 3% per year

for 2 years is $ 120.00.

Answer:

part a: 52%

part b: 0.4

part c: 0.24

Step-by-step explanation:

For part one, you find the frequency of the number of people that are less that 20. You add the number of tics in each bar and you divide by the total.

so for part a it is (7+6+9+4)/ (7+6+9+4+4+12+8)

for part b you add up the values that are greater than 25(less than 35)

(12+8)/total

part c you find the number of people between 25 and 30

that's 12

over total

12/total

Combining the radicals in the expression -√5- 3√5 gives -4√5

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

-√5-3√5

Express properly

So, we have

-√5- 3√5

The terms of the expressions are like terms

This means that they can be combined

When the radicals in the expression are combined, we have

-√5- 3√5 = -4√5

Hence, combining the radicals in the expression gives -4√5

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A Parallelogram because it is a quadrilateral with 2 pairs of parallel sides!

Answer:

median

Step-by-step explanation:

answer is the best measure of center for this dot plot is a median

answer options d

Answer:

30.6 if im wrong someone correct me in comments and explain why

Step-by-step explanation:

I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6

Easier way just add the two lengths and multiply it by height

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

From the percentage of the coffee bags with 10.9 ounces, we can see that it is unlikely that the company's claim is true because 20% of the bags in the sample contain 10.9 ounces.

What is meant by percentage?

A figure or ratio stated as a fraction of 100 is called a percentage. Frequently, it is indicated with the per cent sign, "%". If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage, therefore, refers to a component per hundred. Per 100 is what the word per cent means. As there is no unit of measurement for percentages, they are dimensionless numbers. This is because we divide numbers with the same units in percentage calculation.

Given,

Amount of coffee in A bag of ground coffee = 11 ounces

Number of bags = 250 bags

Number of bags which contain 10.9 ounces of coffee = 50

The percentage of bags which contain 10.9 ounces of coffee

= (50/250) × 100 = 20%

This percentage shows that the company's claim is not true because they claim every bag contains 11 ounces of coffee.

Therefore from the percentage of the coffee bags with 10.9 ounces, we can see that it is unlikely that the company's claim is true because 20% of the bags in the sample contain 10.9 ounces.

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As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

This type of sample can be best described as a stratified sample

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

The students are divided into groups, according to how many years they have attended the university. Then, from each group, some(30) students are surveyed. This is an example of Statrified Sampling

Answer:

  y = (5/9)(x -2)(x +6)

Step-by-step explanation:

When a polynomial has a zero (p, 0), it has a factor (x -p).

The given zeros mean the factored form of the equation will be ...

  y = a(x -2)(x +6)

The given point will mean the value of 'a' will satisfy ...

  (x, y) = (3, 5)

  5 = a(3 -2)(3 +6) = 9a

  a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'

The factored equation is ...

  y = (5/9)(x -2)(x +6)