neil bought a boat that costs $31,000. It decreases in value by $1,500 every year. write an explicit formula for this equation.

Answer:

Step-by-step explanation:

Medical treatments that involve laser beams.

We can measure how far we put perpendicular the laser beam to a patient skin and we can calculate using right triangles how wide the beams go to only target certain cells (like cancer cells.)

Hey there!

The answer is no, they would not return to the original price of $200.

This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.

Hope this helps! Have a great day, and good luck on your assignment!

The scientific notation of 5 x 10−7 is 5 x 10 to the power of negative 7.

Notation is a set of symbols and instructions used to represent numbers, equations, and other mathematical expressions. Notation is used to explain rules and procedures, as well as make complex mathematical concepts easier to read and understand. Notations can range from simple abbreviations to complex mathematical symbols. In mathematics, notation can help to simplify complex problems and provide a way for mathematicians to communicate their ideas.


This means that it is 5 times as small as 1. The scientific notation of 8.5 x 10^−4 is 8.5 x 10 to the power of negative 4. This means that it is 8.5 times as small as 1. Therefore, 5 x 10−7 is 8.5 times smaller than 8.5 x 10^−4. By dividing the two numbers, we get 8.5/5 = 1.7. This means that 5 x 10−7 is 1.7 times smaller than 8.5 x 10^−4.

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Answer:

the standard form of

one hundred thousand, fifty-two is: 100,052

well, since we're using Sine, we'll need the opposite side to ∡A, and that'd be side BC, so let's first find BC

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{61}\\ a=\stackrel{adjacent}{47}\\ o=\stackrel{opposite}{BC} \end{cases} \\\\\\ BC=\sqrt{ 61^2 - 47^2}\implies BC=\sqrt{ 3721 - 2209 } \implies BC=\sqrt{ 1512 }\)

now let's get ∡A

\(\sin( A )=\cfrac{\stackrel{opposite}{\sqrt{1512}}}{\underset{hypotenuse}{61}} \implies \sin^{-1}(~~\sin( A )~~) =\sin^{-1}\left( \cfrac{\sqrt{1512}}{61} \right) \\\\\\ A =\sin^{-1}\left( \cfrac{\sqrt{1512}}{61} \right)\implies A \approx 39.60^o\)

Make sure your calculator is in Degree mode.

Answer:

f^-1(x)=1/2x-3/2

Step-by-step explanation:

f(x)=2x+3

y=2x+3

x=2y+3

2y+3=x

2y=x-3

y=1/2x-3/2

substitute f^-1(x) for y

f^-1(x)=1/2x-3/2

Answer:

Step-by-step explanation:

2x - 4y  is expanded

Answer:

m^2+5m+25/4

perfect square trinomial^^

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer: x + 2y = 8

Step-by-step explanation:

We know that the slope of the line is (-4-0)/(4-(-4))=-1/2.

The slope of the parallel lines is thus also -1/2.

We can conclude that the equation of the line is y=(-1/2)x+4.

2y = -x + 8

x + 2y = 8

Answer:

B

Step-by-step explanation:

Answer: The answer would be A. 5

Please mark me as brainliest

Answer:

x + 13 = 34

Step-by-step explanation:

its true

Answer:

-5,-2

Step-by-step explanation:

left impacts the x coordinate and going up impacts the y coordinate

The average may be obtained by adding all the given values divided by the number of values. Since 4 of the 5 values are given and the given average is 84, we may substitute the given values in the following formula.

Thus, we will obtain the following.

To solve for the missing value, find the sum of the four addends.

Multiply both sides of the equation by 5.

And subtract both sides of the equation by 330.

Thus, the last score should be 90.

Answer: 919 seconds in 15 minutes and 19 seconds

Step-by-step explanation:

60 x 15 = 900

900 + 19 = 919

Answer:

Read the claim. Schools should stop doing standardized testing. Read the counterclaim. The Department of Education says that teaching students to do well on standardized tests helps to motivate students and keep them focused on important subjects. Read the rebuttal. On the contrary, being forced to focus on testing stresses students and limits the amount of knowledge they can gain. How can the writer revise the rebuttal to make it stronger

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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\(\frac{41-27}{41} \times 100 \approx \boxed{34\%}\)

Given:

Total number of magazine is, N = 24.

Number of magazines left to read is M.

Number of magazined read by the person is R.

The objective is to write an equation relating M to R.

Since the total number of magazine is 24, then the equation can be represented as,

Hence, the required equation for the situation is obtained.

Now, if after reading 16 magazines (R), the number of magazines left (M) can be calculated as,

Hence, the number of magazines left after reading 16 magazines is 8.

Using the normal distribution, it is found that:

a) 4.75% of drivers have a reaction time greater than 1.8 seconds.

b) The reaction time is of at least 1.73 seconds.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given by, respectively:

\(\mu = 1.5, \sigma = 0.18\)

Item a:

The proportion is one subtracted by the p-value of Z when X = 1.8, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1.8 - 1.5}{0.18}\)

\(Z = 1.67\)

\(Z = 1.67\) has a p-value of 0.9525.

1 - 0.9525 = 0.0475 = 4.75%.

4.75% of drivers have a reaction time greater than 1.8 seconds.

Item b:

The reaction time is of at least X seconds, in which X is the 90th percentile, that is, X when Z = 1.28, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 1.5}{0.18}\)

\(X - 1.5 = 1.28(0.18)\)

\(X = 1.73\)

The reaction time is of at least 1.73 seconds.

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Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1. \($P(x) \geq 0$\)

2. \($\sum_z P(x) = 1$\)

Now consider,

\($\sum_z P(x) = 1$\)

⇒ \($P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$\)

⇒ \($0.61+T+0.14+0.01+0.01+0.03=1$\)

⇒ \($0.8+T=1$\)

⇒ \($T=1-0.8$\)

       = 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

The required answers for part (a) and (b) are  ASA, SAS and SSS and the value of x is 262.80 units.

The sine law is used to calculate the sides and angles of a triangle. It states that the ratio of the sides and the angles opposite to it are equal.

It can be written a/SinA = b/SinB = c/SinC.

The given problem can be solved as,

(a) In order to apply law of sines at least one angle should be known.

In ASA and SAS this criteria is justified.

(b) When none of the angles are given, there can be more than one solution.

Which implies the case of SSS.

(c) In the given triangle angle ∠C can be found as,

⇒∠C = 180 - (98.4 + 24.6) = 57°.

Now apply the law of sines to obtain x as follows,

x/sin(57°) = a/sin(98.4°)

The value of a is given as 310.

⇒ x/sin(57°) = 310/sin(98.4°)

⇒ x = 262.80.

Hence, the value of x is found as 262.80 units.

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The missing diagram of the triangle is attached here.

answer: \(2^{3} a^{3} b^{12}\)

steps:

you multiply each variable by 3.

example being: 2 x \(x^{3}\) is \(2^{3}\)

you do this with each of them

hope this helps! <3

Answer:

Step-by-step explanation:

greater than or equal to

The total students participated in in track-and-field day is 485.

A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.

We have:

Total number of students combined = 584

5/8 of are seventh graders and 3/8 of are eighth graders

If 4/5 if the seventh graders participated in track-and-field day. Thus, the of number seventh graders participated in track-and-field day will be:

5/8 * 4/5 * 584 = 294

If 7/8 of the eighth graders participated.  Thus, the of number eighth graders that participated will be:

3/8 * 7/8 * 584 = 191

total students participated = 294 + 191 = 485

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Complete Question

The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584. 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 if the seventh graders participated in tack-and-field day and 7/8 of the eight graders participated, about how many total students participated? Describe the process you used.

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172