given x=1/3y+5/3 and xy-x=2y+1

Solve for x and y simultaneously​

Answer:

-7

Step-by-step explanation:

Answer:

m=-7  ,b=-3

Step-by-step explanation:

If ∠4 ≅ ∠14, then the lines that must be parallel are a and b and so we can say that; a∥b, Converse of the Alternate Interior Angles Theorem

Interior angles are basically the pair of angles created on the inner side of the parallel lines and right on the opposite sides of the transversal when two parallel lines are intersected by a transversal .

We are told that ∠4 ≅ ∠14, which lines,

If a transversal connects two parallel lines, we know that the corresponding angles and vertically opposite angles are equivalent.

Thus, angle 4 is congruent to angle 14.

Therefore, we can deduce the following;

Angle 15 is a corresponding angle to angle 3 and so we can write that;

∠15 ≅ ∠3

Angle 15 is a vertically opposite angle to angle 13 and so we can write that; ∠15 ≅ ∠13

By transitive property of equality, we can say that;

∠3 ≅ ∠13    [Alternate interior angles]

Thus, we have  ∠4 ≅ ∠14

Therefore, we conclude that a∥b, Converse of the Alternate Interior Angles Theorem.

Hence, the correct answer would be an option (B).

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Answer:

Step-by-step explanation:

−36w+60

=12(−3w+5)

12(−3w+5)

Answer:

wow

Step-by-step explanation:

its very hard lol

Answer: 64

Step-by-step explanation: 4160/65                                                                     64

Answer:

C. p = 1.72d

Step-by-step explanation:

The rate of change for the diver is 0.43. 0.43 x 4 = 1.72d.

The equation for the rate of change for the diver is 1.72d.

It is required to find the equation.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The table shows the pressure in PSI for several depths of water.

For a submarine the pressure increases at 4 times the rate of a diver.

The water pressure in square inches for a submarine=p

The depth in feet =d

So we have to find the equation

The rate of change for the diver is

0.43. 0.43 x 4

= 1.72d.

Therefore, the equation for the rate of change for the diver is 1.72d.

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The change in a variable that leads to the change in another variable is termed as a correlation but this does not prove causation.

Correlation is a statistic that indicates how far two variables move in relation to one another.

Correlation expresses the degree of a relation between two variables numerically as the correlation coefficient.

Thus, correlation serves the following relationship:

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The subject of this question is Mathematics and it involves counting and working with coins.

The subject of this question is Mathematics as it involves counting and working with coins.

Tia has 12 coins in total, consisting of 6 pennies, 3 nickels, and 3 dimes. Will has 15 coins, with an equal number of pennies, nickels, and dimes. Ana has a total of 9 coins, with 2 pennies, 4 nickels, and 3 dimes.

In summary, the question involves counting the number of coins each person has, which can be solved using basic arithmetic and understanding of coin values.

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The value of x in the triangle is 11.

The unknown angles are as follows:

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore,

3x + 47 + 37 = 5x + 62

subtract 5x from both sides of the equation

3x - 5x + 84 = 5x - 5x + 62

-2x + 84 = 62

subtract 84 from both sides of the equation

-2x + 84 = 62

-2x + 84 - 84 = 62 - 84

-2x = -22

divide both sides by -2

x = -22 / -2

x = 11

The other unknown angles are as follows;

3x + 47 = 3(11) + 47 = 33 + 47 = 80 degrees

5x + 62 = 5(11) + 62 = 55 + 62 = 117 degrees.

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we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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Answer:

C

Step-by-step explanation:

The correct interpretation of this p-value with an alpha level of 0.05 is explain below.

P-value is the margin of error importance inside a factual speculation test, addressing the likelihood of the event of a given occasion.

We have, P-value =0.07

Level of significance = 0.05

We know that,

P-value is less than level of significance, then H® is rejected,smaller the p-value longer the evidence that you should reject the null hypothesis.

Now P-value is greater than 0.05.

With a p-value greater than 0.05, fail to reject the H®.Look at multiple comparison of each Level of significance.

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The recursive formula which is used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75. The correct option is B.

Given the time spent by making a hat is shown in attached image.

We have to find the recursive formula which is used to satisfy the given condition.

A recursive formula relates each term in the sequence to the previous term in the sequence. This is different from the explicit expression.

As it is given that f(1)=1.5, f(2)=2.2.5, f(3)=3.0 and f(4)=3.75

According to the definition of recursive formula, we will firstly find the difference between f(2) and f(1), we get

f(2)-f(1)=2.25-1.5

f(2)-f(1)=0.75

f(2)=f(1)+0.75,

Now, we will find the difference between f(3) and f(2), we get

f(3)-f(2)=3.0-2.25

f(3)-f(2)=0.75

f(3)=f(2)+0.75,

Similarly, we will find for others.

.....

f(n+1)=f(n)+0.75

This is the arithmetic sequence with common difference 0,75.

Hence, according to the question, the recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75.

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Answer:

square root of 34

Step-by-step explanation:

ok so S is for Squared

Cs= As+Bs

5s+3s= Cs

25+9=34

Cs=34

C= square root of 34

to get C we need to square root Cs

square root of 34

so C is 5.83

Answer:

8/15 = 16/30 = 24/45 = 32/60

= 40/75 = 48/90 = 56/105 = 64/120

= 72/135 = 80/150 = 88/165 = 96/180

= 104/195 = 112/210 = 120/225 = 128/240

= 136/255 = 144/270 = 152/285 = 160/300

= 168/315 = 176/330 = 184/345 = 192/360

= 200/375 = 208/390 = 216/405 = 224/420

= 232/435 = 240/450 = 248/465 = 256/480

= 264/495 = 272/510 = 280/525 = 288/540

= 296/555 = 304/570 = 312/585 = 320/600

= 328/615 = 336/630 = 344/645 = 352/660

= 360/675 = 368/690 = 376/705 = 384/720

= 392/735 = 400/750 = 408/765 = 416/780

= 424/795 = 432/810 = 440/825 = 448/840

= 456/855 = 464/870 = 472/885 = 480/900

= 488/915 = 496/930 = 504/945 = 512/960

= 520/975 = 528/990 = 536/1005 = 544/1020

= 552/1035 = 560/1050 = 568/1065 = 576/1080

= 584/1095 = 592/1110 = 600/1125 = 608/1140

= 616/1155 = 624/1170 = 632/1185 = 640/1200

= 648/1215 = 656/1230 = 664/1245 = 672/1260

= 680/1275 = 688/1290 = 696/1305 = 704/1320

= 712/1335 = 720/1350 = 728/1365 = 736/1380

= 744/1395 = 752/1410 = 760/1425 = 768/1440

= 776/1455 = 784/1470 = 792/1485 = 800/1500

Step-by-step explanation:

Answer:

Part A: Yes. For every 10 employees, an increase of 80 products produced.

Part B: y = 8x + 120

Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees

Step-by-step explanation:

Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees

Part B: For y = mx + c ,

m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8

c = Y-intercept, when X = 0. Therefore c = 120

Answer:

0.9

Step-by-step explanation:

0.9

Answer:

148

Step-by-step explanation:

(12×12)+7-3

144+7-3

151-3

148

Answer:

Step-by-step explanation:

First do the operation inside the parenthesis

(12*12) + 7 - 3 = 144 + 7 - 3

                     = 151 - 3

                     = 148

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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Answer:

1

Step-by-step explanation:

Mean is the average amount of numbers. To find the mean, add all the numbers up and then subtract by how many there are.

All of those numbers together equal 9 and because there are 9 values there, I divided them which gave me 1.

Answer:

(1, 3, -2) is the answer

To find the component form of the velocity of the airplane, we need to break down the velocity vector into its horizontal (x) and vertical (y) components.

Given that the airplane is flying 25 degrees west of north at 800 km/h, we can determine the horizontal and vertical components using trigonometry.

The vertical component (Vy) represents the velocity in the north direction, and the horizontal component (Vx) represents the velocity in the east direction.

To calculate Vy, we use the sine function:

Vy = V * sin(θ)

Vy = 800 * sin(25°)

To calculate Vx, we use the cosine function:

Vx = V * cos(θ)

Vx = 800 * cos(25°)

Therefore, the component form of the velocity vector is:

Velocity = (Vx, Vy) = (800 * cos(25°), 800 * sin(25°))

Calculating the values:

Vx ≈ 722.6 km/h

Vy ≈ 342.0 km/h

Hence, the component form of the velocity vector is approximately (722.6 km/h, 342.0 km/h).

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Answer:

The first option

Step-by-step explanation:

The equation of g(x) is g(x) = \(10^{3 - x\)

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and size.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

From the graph, we see that,

The coordinates in the line g(x) are (5, 100) and (4, 10).

Now,

g(x) = \(10^{x - 3\) ______(1)

Substituting (5, 100) and (4, 10) in (1)

We get,

g(5) = \(10^{5 - 3\) = 100

g(4) = \(10^{4 - 3\) = 10

This is true.

Thus,

The equation of g(x) is g(x) = \(10^{3 - x\)

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Subract what she rode already from total:

48-18 = 30

Divide by number of days:

30/4 = 7.5

she will need to ride 7.5 miles per day

An writing format called R Markdown (. Rmd) makes it simple to create dynamic documents, presentations, and reports with R.

It mixes R code chunks that are embedded and run so that their result can be included in the final document with the basic grammar of R markdown, a simple plain text format. The following are some benefits of utilizing R markdown: explicitly connects your data, R code, and output to produce a workflow that is completely reproducible. You can include ALL of the R code that was used to explore, summarize, and analyze your data in a single, simple-to-read document.

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