13 is what percent of 16?

33 is what percent of 40?

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

Simplify both sides of the inequality.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered}$} }\)

Subtract 3x from both sides.

Subtract 6 from both sides.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{0 < -27} \end{gathered}$} }\)

Answer:

0 < - 27

Step-by-step explanation:

1. Distribute

3x + 6 < 3(x-7)

3x + 6 < 3x - 21

2. Subtract 6 from both sides

3x + 6 <  3x - 21

3x + 6 - 6 < 3x - 21 - 6

3. Simplify

   subtract

    3x + 6 - 6 < 3x - 21 - 6

    3x <  3x - 21 - 6

   subtract

     3x < 3x - 21 - 6

     3x < 3x - 27

4. Subtract 3x from both sides

3x < 3x - 27

3x - 3x < 3x - 27 - 3x

5. Simplify

    combine like terms

     3x - 3x < 3x - 27 - 3x

     0 < 3x - 27 - 3x

     0 < 3x - 27 - 3x

      0 < -  27

And that is how you get your answer

To determine if the boards create a right triangle, Joey can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's assume Joey measures the lengths of the two sides as a and b, and the hypotenuse as c. The Pythagorean theorem can be written as:

\(c^2 = a^2 + b^2\)

If the measured values satisfy this equation, then the boards form a right triangle. Joey can substitute the measured lengths into the equation and solve for \(c^2\). If \(c^2\) is equal to the sum of the squares of \(a^2\) and \(b^2\), then the boards form a right triangle.

If you have specific values for a, b, and c, please provide them so that I can assist you further in solving the equation and determining if the boards create a right triangle.

To know more about Equation visit-

brainly.com/question/14686792

#SPJ11

find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

Learn more about derivative at:

brainly.com/question/23847661

#SPJ4

Answer:

34

Step-by-step explanation:

angles YPB and BPX together form 180 degrees

180 - 78 = 3x

102/3 = x

x = 34

Answer: width is 49

Step-by-step explanation: 84-35= 49

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

To know more about function, visit

brainly.com/question/5245372

#SPJ1

The standard deviation of the outcome for the given bet is approximately $51.

To obtain this result, we can use the following formula for the standard deviation of a random variable with two possible outcomes (winning or losing in this case):SD = √(p(1-p)w² + p(1-p)l²),where SD is the standard deviation, p is the probability of winning (0.4 in this case), w is the amount won ($50 in this case), and l is the amount lost ($50 in this case).

Plugging in the values, we get:SD = √(0.4(1-0.4)(50²) + 0.6(1-0.6)(-50²))≈ $51

Therefore, the standard deviation of the outcome of the given bet is approximately $51.Explanation:In statistics, the standard deviation is a measure of how spread out the values in a data set are.

A higher standard deviation indicates that the values are more spread out, while a lower standard deviation indicates that the values are more clustered together.

In the context of this problem, we are asked to find the standard deviation of the outcome of a bet. The outcome can either be a win of $50 with a probability of 40% or a loss of $50 with a probability of 60%.

To find the standard deviation of this random variable, we can use the formula:SD = √(p(1-p)w² + p(1-p)l²),where SD is the standard deviation, p is the probability of winning, w is the amount won, and l is the amount lost.

Plugging in the values, we get:SD = √(0.4(1-0.4)(50²) + 0.6(1-0.6)(-50²))≈ $51Therefore, the standard deviation of the outcome of the given bet is approximately $51.

To know more about  standard deviation click on below link:

https://brainly.com/question/29115611#

#SPJ11

Answer:

C, the initial population.

Step-by-step explanation:

It says that in 2008, St. Lucie Village had a population of 500 people.  

Since 10 to the power of 2 is 100, we multiply 59.303 by 100, meaning we can just push the decimals two places up with an answer of 5930.3

Hope this helps.

Answer:5930.3

Step-by-step explanation:

10^2=10x10

10x10x59.303=5930.3

The monthly payment on a $90,000, 15-year mortgage at 5.0% interest is approximately $632.07.

To calculate the monthly payment on a $90,000, 15-year mortgage with a 5.0% interest rate, we can use the formula for calculating the monthly payment on a fixed-rate mortgage. The formula is:

M = P [i(1 + i)^n] / [(1 + i)^n - 1]

Where:

M = Monthly payment

P = Loan amount

i = Monthly interest rate

n = Number of monthly payments

Let's plug in the given values into the formula and calculate the monthly payment step by step:

Loan amount (P) = $90,000

Interest rate (5.0%) = 0.05

Number of monthly payments (15 years) = 15 * 12 = 180

First, we need to calculate the monthly interest rate (i):

i = 0.05 / 12 = 0.0041667

Next, we calculate the denominator of the formula:

(1 + i)^n - 1 = (1 + 0.0041667)^180 - 1 = 2.3231131

Finally, we can calculate the monthly payment (M):

M = $90,000 * 0.0041667 * 2.3231131 / 2.3231131 = $632.07 (rounded to the nearest cent)

Therefore, the monthly payment on a $90,000, 15-year mortgage at 5.0% interest is approximately $632.07.

To know more about calculating mortgage payments, refer here:

https://brainly.com/question/31110884#

#SPJ11

The possible values will be $5820.

Given

R interest rate=2%, T=18 month, P=?, A =$6000  

USE formula A = P (1 + rt)

For given question invest need (P= $5820).

So answer is $5820.

What exactly do you mean by interest?

In the fields of finance and economics, interest is defined as the payment of a sum over and above the return of the original sum, made at a set rate, by a borrower or deposit-taking financial institution to a lender or depositor. It differs from a fee the borrower might pay the lender or another entity.

To know more about interest visit: brainly.com/question/29480777

#SPJ11

Answer:

4

Step-by-step explanation:

(b + c)/2 = 6

b + c = 12

(a + b + c + d)/4 = 5

(a + 12 + d) = 20

a + d = 8

Hence,

the sum of the largest and smallest is 8. The mean has to be 8/2 = 4.

Hope this helps and be sure to mark this as brainliest! :)

Answer:

473

Step-by-step explanation:

\(28 {x}^{2} {y}^{2} - 21 {x}^{2} {y}^{3} \\ 7 {x}^{2} {y}^{2} (4 - 3y)\)

PLEASE GIVE BRAINLIEST

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

Learn more about parallelogram at: https://brainly.com/question/10744696

#SPJ1

Answer:

a and e jfdjjxjccjddjdjdjdjdjjdjdidie

The true statement is (c). The coefficients of x^n and y^n are both equal

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

(x + y)^n

When the above expression is expanded, we have

(x + y)^n = x^n + ..... + y^n

See that the coefficients of x^n and y^n is 1

This means that they have equal coefficient of 1

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

A) The given problem can be considered as an experiment as the researcher is trying to observe the effect of a new drug on quitting smoking.

B) In this experiment, the control group is composed of the participants who received skin patches with no drugs. They are used for the comparison of the effects of the treatment.

C) The treatment group in this experiment is composed of the participants who received skin patches with the new drug. This group is used to analyze the effect of the treatment.

D) Yes, there is a placebo being used in this experiment, which is the skin patch without the new drug. It is used to evaluate the effectiveness of the new drug.

Explanation:

An experiment is a study in which the researcher changes one or more variables and observes or measures the effect of those changes on another variable. In this given problem, the researcher is trying to observe the effect of a new drug on quitting smoking. Thus, it can be considered an experiment.

The control group is a group of participants who do not receive the treatment and are used for comparison with the treatment group. In this experiment, the participants who received skin patches with no drugs acted as the control group.

The treatment group, on the other hand, is a group of participants who receive the treatment and are used to analyze the effect of the treatment. In this experiment, the participants who received skin patches with the new drug acted as the treatment group.

A placebo is an inactive substance that has no therapeutic effect but is used in studies to evaluate the effectiveness of a drug or intervention. In this experiment, the skin patch without the new drug is used as a placebo to evaluate the effectiveness of the new drug. Thus, it is being used in the given experiment.

Know more about placebo here:

https://brainly.com/question/28781687

#SPJ11

The solution for x in the equation given as 3/2 (4x – 1) – 3x = 54 –(x + 2) is 13.375

From the question, the algebraic expression is given as

3/2 (4x – 1) – 3x = 54 –(x + 2)

There is no constant to multiply or divide in the expression

3/2 (4x – 1) – 3x = 54 –(x + 2)

Open the brackets

So, we have

6x – 3/2 - 3x = 54  - x - 2

Collect the like term in the above equation

This gives

6x - 3x + x = 54 - 2 + 3/2

Evaluate the like term in the above equation

So, we have the following representation

4x = 53.5

Divide through by 4

x = 13.375

The above equation cannot be solved further

Hence, the solution is x = 13.375

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

Answer:

x=16

Step-by-step explanation:

1 soccer ball =$12

2 makes $24.

24+16=40

so both coaches spend 8 bucks for 4 cones

Each cone costs $2, and the cost is calculated as follows: 8x = 40 - 2 *p, where p is equal to the cost of a football.

A linear equation is an algebraic equation of the form ax + by +c, is and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given that, Two coaches each buy 1 soccer ball for $12 and 4 cones. Each cone costs the same amount. Together the coaches spend $40.

Let x be the number price of the cone.

Thus each coach spends  = 4x  +12

Thus, in total, they spend = 40

4x  +12 +  4x  +12 = 40

8x = 40 -24

8x = 16

x = 2

Therefore, Each cone costs $2 and the equation for calculating the price of the cone is: 8x = 40 - 2 * the price of a football.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ5

To determine whether to reject or fail to reject the null hypothesis, we typically rely on statistical hypothesis testing. After conducting a hypothesis test, we consider the test statistic and the corresponding p-value.

When the p-value is less than or equal to the predetermined significance level (usually denoted as α), we reject the null hypothesis. This indicates that the observed data provides sufficient evidence to support the alternative hypothesis. Conversely, when the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we do not have enough evidence to support the alternative hypothesis.

The significance level α is predetermined and represents the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). The choice of the significance level depends on the specific research context and the consequences of making a Type I error.

It is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true. It simply means that the observed data does not provide enough evidence to support the alternative hypothesis. There could still be other factors or limitations in the study that contribute to the lack of significant results.

To know more about hypothesis testing, refer here:

https://brainly.com/question/29996729#

#SPJ11

The statement of pre-image is dilated is the resulting image congruent to the origina is false.

A dilation is a change that creates a picture that is a similar shape as the first, however is an alternate size. • An expansion that makes a bigger picture is called a development. • An expansion that makes a more modest picture is known as a decrease.

As we all know that dilation is used to resize the object. It make the objects larger or smaller.

It produces an image that is the same shape as the original, but is a different size.

This means, the original figure and the transformed figure would not be congruent.

Therefore, the statement 'When an object is dilated, the resulting image is congruent to the pre-image.' is False

To know more about dilation visit:

brainly.com/question/10855880

#SPJ4

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

To know more about trigonometric visit :

https://brainly.com/question/29156330

#SPJ11

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

216

Step-by-step explanation:

gof(6) means g(f(6))

f(6)=2(6)-6=6

g(6)=6^3=216

Answer:

\(21. \: 136.1\)

\(22. \: 27.0\)

\(23. \: 471.3\)

Remember to add "$" before the number.

A vertical asymptote example is a graph that shows an equation such as 1/x approaching infinity as x approaches 0. In this example, x = 0 is the vertical asymptote.

A vertical asymptote is a line on a graph that represents the point at which a function approaches infinity or negative infinity. In other words, it is the point at which the graph of the function becomes infinitely steep. An example of a vertical asymptote is the equation 1/x. As x approaches 0, the value of 1/x approaches infinity. This is represented on the graph of the equation as a vertical line at x = 0. This line is the vertical asymptote. A vertical asymptote indicates that the domain of the function does not include the point at which the asymptote occurs. This is because a function cannot approach infinity. Thus, the equation 1/x is not defined at x = 0.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4