Find the equation of a line that goes throught point -2,-5 and is parallel to y = x + 2

Answer:

x = \(\frac{1}{4}\)

y = \(\frac{3}{4}\)

z = 0

Step-by-step explanation:

You first need to solve for a variable, it won't be as easy as x = 3, you are looking to replace a variable with another equation.

For example, the second equation, 4y-z=3, I can either solve for y or z. It won't be a numerical value but it will get you a step closer.

4y-z=3

4y=z+3

y = \(\frac{z}{4} +\frac{3}{4}\)

Then you are able to use substitution to negate one of the variables and solve for the other two variables. I won't type that but I think you get the idea.

Answer: x = 61

Step-by-step explanation:

combine both angles to equal 180 in one formula

2x+3+x-6=180

then add the sides up

3x-3=180

add 3 to both sides

3x=183

divide

x=61

Using the elimination method, we can find that Eileen has 23 dimes and 17 quarters in her piggy bank.

A frequent approach for resolving a set of two-variable linear equations is the elimination method. The goal of this approach is to remove one of the variables by combining or deleting the two equations. The goal is to create a new equation with one variable removed, leaving a single variable in the equation.

Let x be the number of dimes and y be the number of quarters.

To solve for x and y, we can use the elimination method.

We can multiply equation 1 by 0.10 and subtract it from equation 2 to eliminate x:

0.10x + 0.25y = 6.55

0.10x + 0.10y = 4

0.15y = 2.55

y = 17

Substituting y = 17 into equation 1, we get:

x + 17 = 40

x = 23

Therefore, using the elimination method, Eileen has 23 dimes and 17 quarters in her piggy bank.

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Answer/Step-by-step explanation:

43 = (4 * 101) + (3 * 100)

43 = (4 * 10) + (3 * 1)

43 = 40 + 3

Answer:

Undecillion has 36 0's

\(\sf{\#FromThePhilippines}\)

Answer:

57.1 sq in

Step-by-step explanation:

Answer:

Area = \(57.1cm^{2}\)

Step-by-step explanation:

\(\frac{(10cm)(12cm)sin(72)}{2}\)

= 57.1cm^2

Answer:

16yuan

Step-by-step explanation:

1$=8Y

so,2$=2x8Y

or 2$=16Y

Sum of the given geometric sequence is -100.

A geometric sequence is the special type of sequence in which the ratio of every two successive terms is constant.

Sum of each infinite geometric sequence

-50, -25, -12.5, ...

The infinite sum of geometric sequence is given by,

\(s_{\infty} =\frac{a}{1-r}\)

Where a is the first term in the sequence and r is the common ratio.

\(s_{\infty} =\frac{-50}{1-(-0.5)}\)

      = -100.

Hence, sum of the given geometric sequence is -100.

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Answer:

X=4

Step-by-step explanation:

12x-3=45

12x. =45+3

12x. =48

X=4

The value of x is 10, given that the two triangles are similar to each other.

The corresponding sides of a pair of similar triangles are in proportion.

This can be shown like this:

If Δ ABC ~ Δ XYZ, that is, triangle ABC is similar to triangle XYZ, we can write that,

AB/XY = BC/YZ = CA/ZX.

In the question, we are asked to find the value of x, given that triangle SER is similar to triangle GEF.

∴ Δ SER ~ Δ GEF.

By properties of similar triangles, we can write that:

SE/GE = ΔER/EF = RS/FG,

or, 45/(12x - 3) = 55/143 = RS/FG.

We can use the first two parts of the relation, to form an equation in x, and solve for it.

∴ 45/(12x - 3) = 55/143

or, 12x - 3 = (45 * 143)/55 =  117

or, 12x = 117 + 3 = 120

or, x = 120/12 = 10.

∴ The value of x is 10, given that the two triangles are similar to each other.

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The number of ways combination in which we can make a sitting arrangements to meet the requirement is 1440.

= 5!⋅4⋅3

= 120⋅12

= 1440

Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

It is easy to count the number of combinations in smaller cases, but the likelihood of a set of combinations is also higher in cases with many groups of components or sets. As a result, a formula has been developed to determine the number of items that could be chosen which is nCr.

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Answer:

30 units

Step-by-step explanation:

IF it is a right triangle AND these are the LEGS then the hypotenuse = 13

5+12 + 13 = 30

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x  + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet

Step-by-step Explanation:

First find out what is the price after 30% off.

250 · 0.3 = 75

250 - 75 = 175

Then find the tax and add it on. Remember to calculate the tax AFTER  the discount.

175 · 0.06 = 10.50

175 + 10.50 = 185.50

a) The selling price of the skis is $79.80.

b) The final price is 140% of the original price.

c) The percent increase from the original price to the final price is 40%.

a) Calculation of selling price:

Markup rate is 40%

Original cost = $57

Selling price = (100% + Markup percentage) × Original cost

Selling price = (100% + 40%) × $57

Selling price = 1.4 × $57

Selling price = $79.80

b) Calculation of percentage of the original price that is the final price

Percentage of original price that is the final price = (Final price / Original price) × 100%

Percentage of original price that is the final price = ($79.80 / $57) × 100%

Percentage of original price that is the final price = 140%

c) Calculation of the percentage increase

Percentage increase = (Final value − Initial value) / Initial value × 100%

Percentage increase = ($79.80 − $57) / $57 × 100%

Percentage increase = $22.80 / $57 × 100%

Percentage increase = 40%

Therefore, The store charges $79.80 for the skis. The final price is 140% of the original price and the percent increase from the original price to the final price is 40%.

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The sample that could constitute a discrete random variable is the number of near collisions of aircraft in a year.

This is because it is a countable, finite number and not a continuous measurement like the height of the ocean's tide. The total number of points scored in a football game could also be considered a discrete random variable because it is a countable, finite number. However, the height of the ocean's tide is a continuous measurement and cannot be counted as a discrete random variable.
The sample that could constitute a discrete random variable is: i. total number of points scored in a football game.
A discrete random variable represents a countable number of distinct values or outcomes. In this case, the total number of points scored in a football game can be counted and listed, making it a discrete random variable.
On the other hand, the height of the ocean's tide at a given location (ii) is a continuous random variable, as it can take any value within a given range, and the number of near collisions of aircraft in a year (iii) could also be considered as a discrete random variable, but it's not one of the options in your question.

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The radius of convergence for the Taylor series of g(x) is 4.

To find the radius of convergence for the Taylor series of f(x) = ∑(n=1 to ∞) xn, we can use the ratio test.

The ratio test states that for a power series ∑(n=0 to ∞) an(x-c)n, the series converges if the following limit exists and is less than 1:

lim(n→∞) |an+1(x-c)/(an(x-c))|

For the series f(x) = ∑(n=1 to ∞) xn, we have an = 1 for all n.

Applying the ratio test to f(x), we have:

lim(n→∞) |(x(n+1))/(xn)|

= lim(n→∞) |x(n+1)/xn|

= |x|

For the series to converge, |x| < 1. Therefore, the radius of convergence for the Taylor series of f is 1.

Now, let's consider the function g(x) = x^3 * f(x^2/16). Since f(x) has a radius of convergence of 1, we need to determine the radius of convergence for g(x) based on f(x^2/16).

To find the radius of convergence for g(x), we substitute x^2/16 into the ratio test:

lim(n→∞) |[(x^2/16)^(n+1)] / [(x^2/16)^n]|

= lim(n→∞) |(x^2/16)|

= |x^2/16|

For g(x) to converge, |x^2/16| < 1. Simplifying the inequality, we have |x| < 4.

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Thanks with all of my heart!

ik im not first but have a lovely day! u are really kind! never forget that!

Answer:

Step-by-step explanation:

(a) the cost for each person is not always the same

The predicted number for 70$ would be

10

(b) the train appears to go the same distance each minute.

The predicted distance travled for 10 mintues would be

30

If Anna walks from her house to school each day.the direct distance between Anna's house and school is 10 blocks.

We can use the Pythagorean theorem to solve this problem. If Anna walks 8 blocks east and 6 blocks south, the distance between her house and school is the hypotenuse of a right triangle with legs of length 8 and 6. So:

distance^2 = 8^2 + 6^2

distance^2 = 64 + 36

distance^2 = 100

distance = 10

Therefore, the direct distance between Anna's house and school is 10 blocks.

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The cone has a height of h = \(\frac{3V}{\pi r^{2} }\)

A geometric object with a three-dimensional shape is called a cone. It features two distinct surfaces, referred to as flat and curved surfaces. A cone is created by connecting the two surfaces. One-third of the area of the base B times the height h equals the volume V of a cone with radius r. The volume of an oblique cone may be calculated using the same formula as a right cone. The volumes of a pyramid and a prism are connected, just as the volumes of a cone and a cylinder are related.

The answer to the question is the provided expression, which represents the cone's volume;

It is spelled as follows:

Volume (V) = \(\frac{1}{3}\pi r^{2}h\)

Now, the formula for calculating height 'h' is displayed below:

h = \(\frac{3V}{\pi r^{2} }\)

As a result, h = \(\frac{3V}{\pi r^{2} }\) is the cone's height.

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Answer:

3.14

27cm and a width of 14cm

Step 1

Use the law that the sum of angles on a straight line is 180° to find y given that x = 42°

Step 2

Using the law

x + y = 180°

After substitution

42 + y = 180

y = 180 - 42

y =138°

Answer:

Equation: y=45x+1000

A. $45

B. 1,000

C. y=45x+1000-->Independent=1,000-->Dependent=45

D. y=45(20)+1,000=1,900

E. 30 weeks

Step-by-step explanation:

To solve step "E", you must set up an equation.

Specifically--> 45x+1,000=2350, then solve

45x=1350

x=30

Answer:

a) 7:4

b) 6:3

c) 4:2

d) 6:2

e) 4:3

f) 4:4

Answer:

a) 7:4

b) 6:3

c) 4:2

d) 6:2

e) 4:3

f) 4:4

Step-by-step explanation:

Determine the number of consonants and vowels, then turn them into ratios.

The given regression model, which relates the number of days of experience in a job involving the wiring of electronic components to the number of components rejected, provides an estimate for the number of rejects based on a linear equation.

To estimate the number of components rejected for an employee with 97 days of experience, we substitute this value into the equation and calculate the result. According to the model, the estimated number of components rejected for an employee with 97 days of experience is approximately 113.2, rounded to one decimal place.

In the regression model, the number of rejects is expressed as a function of the number of days of experience, represented by the equation "Number of rejects = 249 - 1.4 * Days of experience." By substituting 97 for the Days of experience, we can evaluate the equation and calculate the estimated number of rejects. After substituting, we find that the estimated number of components rejected is 113.2. This suggests that an employee with 97 days of experience in the job is expected to have approximately 113.2 components rejected, based on the given regression model.

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The value of the constant of proportionality in the expression c=1.1 b is 1.1.

Given to us

The total cost, c, in dollars, of b bottles of water, is c = 1.1b.

The constant of proportionality is plugged into an expression when the proportionality is been removed from the expression.

As the total cost is dependent on the number of bottles that is been purchased, therefore,

\(\rm{ Total\ Cost \propto\ Number\ of\ bottles}\)

Removing the proportionality, we will get,

\(c=kb\)

where c is the total cost, b is the number of bottles,

Now compare the two equations,

c = kb

c = 1.1 b

Hence, the value of the constant of proportionality in the expression c=1.1 b is 1.1.

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The sample size necessary for a 90% confidence interval about the mean height of a shrub with a margin of error of 0.5 inches and a population standard deviation of 1.3 inches is 18.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error = 0.5 inches

z = found by using a z-score table

SD = sample standard deviation = 1.3 inches

n = sample size

At 90% confidence interval, the area in each tail of the standard normal curve is 5, and the cumulative area up to the second tail is 95.

(100 - 90) / 2 = 5

100 - 5 = 95

Find 0.95 in the z-table to get the value of z.

At p = 0.95, z = 1.647

Plug in the values to the formula and solve for the sample size, n.

MOE = z x (SD / √n)

0.5 = 1.647 x (1.3 / √n)

√n = 1.647(1.3) / 0.5

n = 18.34

n = 18

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The value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

First we need to find the derivative of f(x) for that we can use the product rule:

we know that \(f(x) = (x^2 - 2)(x^2 - \sqrt2)\) so the first derivative f'(x) is equal to:

\(f'(x) = [(x^2 - 2)(2x)] + [(x^2 - \sqrt2)(2x)]\)

after simplifying the derivative further, we get:

\(f'(x) = 2x(x^2 - \sqrt2 - 2)\)

We need to find the value of x for which the function f(x) =0:

So we can set f'(x) to zero and solve for x to find what is the value of x that satisfies the given equation.

\(2x(x^2 - \sqrt2 - 2) = 0\)

Therefore, either 2x = 0 (i.e., x = 0) or \(x^2 - \sqrt2 - 2\) = 0.

To solve for x in the second equation we can add 2 and \(\sqrt2\) to both sides and then take the square root of both sides:

\(x^2 = 2 + \sqrt2\\x = ^+_- \sqrt{2 + \sqrt2}\)

Therefore, the value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

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Answer:

X intercept is (2,0)

Y intercept is (0,-4)

Gib brainliest hahaha

(but hope i helped :)