Evaluate each of the following expressions if x=5, y=6, z=-6

X+3y+z=____
(x-12)+3(y+z)=____
100x+yz=___

Answer: (7, -2)

use for any math questions m a t h  p a p a it helps me a lot.

Step-by-step explanation:

The power of point P with respect to circle B is 8, while the power of point Q with respect to circle A is 15.  The ratio of the areas of circle A to circle B = 4/25.

We have circle A and circle B with centers P and Q respectively.

Let:

a = radius of circle A

b = radius of circle B

The power of point P with respect to circle B means BP² - b²

BP = a + b

Hence,

(a + b)² - b² = 8

a² + 2ab + b² - b² = 8

a² + 2ab = 8  ........... (equation 1)

Similarly, the power of point Q with respect to circle A means:

(a + b)² - a² = 15

b² + 2ab = 15  ...... (equation 2)

Multiply equation 1 by (-15) and multiply equation 2 by 8, the add those equations:

- 15a² - 30ab = -120

  8b² + 16ab = 120 +

- 15a² - 14 ab + 8b²  = 0

Divide by  b²  and define x = a/b

-15x² - 14x + 8 = 0

The positive solution is: x = 2/5

The ratio of radii b/a = x = 2/5

The ration of area:

area of circle A/ area of circle B = (2/5)² = 4/25

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Answer:

What-?

\(\(\purple{\rule{45pt}{1000000pt}}\tex\)

Part A:  yes, p = 7/2 g;

Part B: no, p = g+3.

Fractions play a major role in the explanation of ratio and proportion. At the point when a division is addressed as a: b, in which case it is a ratio, whereas a proportion asserts that two ratios are equal. A and b are any two integers in this case. The ratio and proportion are two crucial concepts that serve as the foundation for comprehending a variety of scientific and mathematical concepts.

Given tables for different beads for picture frame,

Mia's picture frame

Green beads     2   4   6    8   10  

purple beads     7  14  21  28  35

Part A:  since   2/7  = 4/ 14 =  6/21  =  8/28  =  10/35 =  2/7

so the beads are in proportion,

since 2/7  = g/p, where p = purple beads and g = green beads

p = 7/2 g.

Part B Riley's picture frame

Green beads     5   10   15    20   25  

purple beads     8   13    18   23   28

now  5/8  ≠  10/13   ≠  15/18  ≠  20/23  ≠ 25/28

the ratio of green beads are not equal so they are not in proportion,

but they are linear (10 - 5)/(13 - 8)  = (15 - 10)/(18 - 13)  = (20 - 15)/(23 - 18)  =1

let the equation be (g + a= p), where  p = purple beads and g = green beads and a, is constant, as we find that purple beads are 3 more than green the equation is  p =  g + 3

Hence beads in Mia's picture frames are in proportion and not in proportion for Riley's picture frames, and equation for Mia's picture frames is p = 7/2 g, and for Riley's picture frames is   p =  g + 3.

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for ever 12 elephants there is 11 lions

so it would be 12:11

Answer:

Answer:

Coin A:

10:$46.18

20:$96.74

30:$190.31

60:$1448.66

Coin B

10:$65.16

20:$106.13

30:$172.88

60:$466.98

Coin C

10:$88.81

20:$131.47

30:$194.60

60:$631.18

Step-by-step explanation:

I think these are right. I've rounded the answers to the nearest 10th place.

Answer:

look up

Step-by-step explanation:

AND GIVE HIM BRAINLIEST HE DESERVES IT!

The area of a house advertised as having 1660 square feet under roof is approximately 502.88 square meters.

To calculate this, you can use the conversion factor 1 m = 3.281 ft, or 1 m^2 = (3.281 ft)^2.

To calculate the area in square meters, first multiply 1660 by 3.281. This gives you 5421.6. Then, divide this number by 10.76, which is the number of square feet in a square meter. This gives you 502.88 square meters.

It is important to be precise when calculating area, as this can help avoid expensive mistakes and ensure that the area of a property is accurately estimated. When measuring or calculating the area of any property, always use the correct conversion factor and take into account any irregularities or unusual shapes.

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Answer84

Step-by-step explanation:

Advantages:

- It provides a more concise and explicit way to write code, reducing the likelihood of errors and making debugging simpler.

- It enables developers to write code focused on business logic, rather that the specifics of low-level language features.

- It is designed to take advantage of modern hardware, such as multiple cores and parallel processing, allowing for efficient and scalable code.

- The static typing system makes it easier to detect errors at compile-time, saving time in testing and debugging.

Disadvantages:

- The learning curve for the language can be steep, requiring a higher level of mastery to become fully productive, which can result in a delay in getting started on a project.

- As a relatively new language, some features may not yet be fully developed or may be missing entirely, making it harder to find resources and assistance.

- The developer community for Opt-in Go is not as large as some other programming languages, making it more difficult to find assistance and resources.

Given:

Find-: what does point (10,67873) represent.

Sol:

Where,

At point.

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

Given:

The expression is

\((1-2g+4h)\cdot 5\)

To find:

The equivalent expression.

Solution:

Distributive property of multiplication over addition is

\(a(b+c)=ab+ac\)

Where, a, b and c are real numbers.

We have,

\((1-2g+4h)\cdot 5\)

Using distributive property, we get

\(=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5\)

\(=5-10g+20h\)

Therefore, the expression \(5-10g+20h\) is equivalent to the given expression.

Answer:

5-10g+20h

Step-by-step

Please give Brainliest :)

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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Answer:

34 weeks

Step-by-step explanation:

Hello!

We can set up an equation to solve for the number of weeks.

Let w = the number of weeks he is saving up.

The equation is \(315 = 115 + 10w - 140\)

He needs to save up for 34 weeks.

Answer (Please mark as brainliest):

x^2 - 9

Step-by-step explanation:

To distribute (x+3) (x-3), we use the FOIL method:

(x+3)(x-3) = x(x) + x(-3) + 3(x) + 3(-3)

= x^2 - 3x + 3x - 9

= x^2 - 9

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a is not equal to 0.

In this case, the equation is already in standard form since there is only one term with x^2 and no x or constant terms:

x^2 - 9

Answer:

x-int=(2,0)

y-int=(0,4)

Step-by-step explanation:

Tuesday Eduardo bought four hats. On Wednesday half of all the hats that he had were destroyed. On Thursday there were only 12 left. Eduardo had 20 hats on Monday.

Let's work backward to find out how many hats Eduardo had on Monday.

On Thursday, Eduardo had 12 hats.

On Wednesday, half of all the hats were destroyed, so he had twice as many hats on Wednesday as he had on Thursday: 12 x 2 = 24 hats.

On Tuesday, Eduardo bought four hats, which means he had four fewer hats on Tuesday than he had on Wednesday: 24 - 4 = 20 hats.

Therefore, Eduardo had 20 hats on Monday.

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Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.

Francis: 86, 84, 90 ---> 84,86,90

Jillian: 84, 90,86---> 84,86,90

I hope this helps, have a great day!

Answer:

math was invented to torture us

Step-by-step explanation:

Here's a Python program (Filename: optimization.py) to perform the optimization problem: Minimize x

3
 −2cos(x)+9 s.t. 0≤x≤2The optimization problem is to find the minimum value of x
3
 −2cos(x)+9 when 0≤x≤2. This optimization problem can be approximately solved by simply searching in the feasible range. In the program, you can simply define a list x = [0, 0.01, 0.02, …, 1.98, 1.99, 2.0]. Also, define an objective function as f(x) = x
3
 −2cos(x)+9 and search for the minimum f(x) of different values in the list x.```python
import math
x = [0.01*i for i in range(201)]
min_val = 1e18
opt_x = 0
def f(x):
   return x**3 - 2*math.cos(x) + 9
for xi in x:
   if xi>=0 and xi<=2:
       fval = f(xi)
       if fval

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Answer:

8/52 = 4/26 =2/13

Step-by-step explanation:

A there are 4 aces

5 there are 4 5s

4+4=8

Answer:

A.)  g (x) = f (x) - 2

Step-by-step explanation:

The first thing we are going to do in this case is to take into account the following definition.

Translations are transformations that change the position of the graph of a function.

The general shape of the graph of a function is moved up, down, to the right or to the left.

The translations are considered rigid transformations. Now we will see how these are performed.

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) -k, move the graph of k units down.

Using the definition we conclude that:

g (x) = f (x) - 4

Two exponential functions, fand g, are shown in the figure, where g is a transformation of f, g (x) = f (x) - 4 equation shows transformation of f. The correct option is A.

A mathematical function of the form \(f(x) = a^x\), where an is a positive constant and x is the input variable, is an exponential function.

The characteristic curve of exponential functions rises or falls rapidly depending on whether an is greater or less than 1.

To determine the transformation of f which gives g, we need to examine how f has been transformed to obtain g.

Looking at the graph, we can see that g is a vertical shift of f. Specifically, g is obtained by shifting f downward by 2 units. Therefore, we need a rule that subtracts 2 from f (x) to get g (x).

Out of the given options, the only one that matches this description is:

g (x) = f (x) - 4

Option A subtracts 4 from f (x), which is not what we observe in the graph. Option B uses an incorrect format and is also subtracting 4 from  f (x).

Option C adds 4 to x, which would result in a horizontal shift, not a vertical shift.

Therefore, the correct answer is A g (x) = f (x) - 2.

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It will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.

To calculate the time it will take for Aidan to save enough for the speed boat, we can use the formula for compound interest. The formula is given by:

\(Future Value = Present Value * (1 + interest rate)^{(number of periods)}\)

In this case, Aidan currently has $2,600 saved, and he saves an additional $205 per month. The future value (FV) is $29,000, and the interest rate (r) is 1.7% per year. We need to find the number of periods (t) in years. Rearranging the formula, we get:

t = log(FV / PV) / log(1 + r)

Plugging in the values, we have:

t = log((29000 - 2600) / 205) / log(1 + 0.017)

≈ 9.70 years

Therefore, it will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.

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Answer:

Step-by-step explanation:

The perimeter of the rectangle = 2[(2x+4)+(x+5)] = 2[3x+9). If x = 1, the figure is a square. Its sides = 2(3+9)/4 = 6, perimeter = 24 and area = 36

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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The 'x' coordinate is negative and 'y' coordinate is positive.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

We know that :

π = 180

Therefore,

3π/4 = (3×180)/4 = 3 × 45

3π/4 = 135

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.

Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

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Answer:

x is negative, and y is positive.

Step-by-step explanation:

The answer above is correct.

Answer:

180.34cm

Step-by-step explanation:

Multiply 12x5=60, then multiply 60x2.54=152.4, then multiply 11x2.54=27.94, then add 152.4+27.94 of it together, which is 180.34

The slope-intercept formula is one of the formulas used to determine a line's equation. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.

Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.

One of the formulas used to get a line's equation is the slope-intercept formula. Y = mx + b is the slope-intercept formula for a line with slope m and y-intercept b. Any point on the line is (x, y) in this case.

The variables we'll use in our function will be as follows:

m = slope, and b = y-intercept.

It is written as y = mx + b. The m and b variables are changed to numbers, while the x and y variables stay as letters (for example, y = 2x + 4, slope = 2, and y-intercept = 4).

The slope and intercept from an equation are used in the following video through a few examples.

y = mx + b

The slope and intercept are the two integers that make up this equation, which is why it is known as the slope-intercept form.

Remember, the slope (m) is the amount being multiplied to x and the intercept (b) is the number being added or subtracted

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The correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

The angle of the sun above the horizon at noon on December 21 depends on the latitude of your city. Since you mentioned that you live at 60°N, we can determine the angle using some knowledge about the tilt of the Earth and the seasons.

On December 21, the winter solstice, the Northern Hemisphere is tilted away from the sun. This means that the angle of the sun above the horizon at noon is lower than on other days of the year.

To calculate the angle, we need to subtract the latitude of your city (60°N) from the tilt of the Earth (23.5°).

So, the angle of the sun above the horizon at noon on December 21 in your city would be:
23.5° - 60° = -36.5°

The negative sign indicates that the sun is below the horizon at noon on December 21. Therefore, the correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

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