5y + 10x = 0
y = - 3x

Plz help me the photo is the directions for the problem

Rational numbers are numbers that can be expressed as the ratio or fraction of two integers, where the denominator is not zero. In other words, a rational number is any number that can be written in the form of p/q. This is where p and q are integers and q is not equal to zero.

Rational numbers include integers (whole numbers and their negatives) and fractions. For example, 1, -3, 4/5, -2/7, and 0 are all rational numbers because they can be expressed as the ratio of two integers.

Rational numbers can be positive, negative, or zero, and they can be either finite (terminating) or non-repeating (recurring) decimals when expressed in decimal form. For example, 1/2 is a rational number that can be expressed as the finite decimal 0.5, while 1/3 is a rational number represented by the non-repeating decimal 0.3333...

It is worth noting that irrational numbers, such as the square root of 2 (√2) or pi (π), are numbers that cannot be expressed as a fraction and are not considered rational numbers.

Answer:

Numbers which can be expressed in the form of p/q (where q≠0) are called rational numbers. example:

7/3 , 21/11 etc.

Answer:angle drn and angle imt

Step-by-step explanation:

The total purchase price is $41,625.00

Capital gain was recorded

The capital gain is $41,625.00

What is total initial initial investment?

Was a capital gain or loss made?

What is the dollar value of gain or loss recorded?

Cost per share=$83.25(note 1/4=0.25)

Total purchase price=purchase price per share*number of shares

Total purchase price=$83.25*500

Total purchase price=$41,625.00

The fact that the price at which Sherry sold the stocks a year later is more than the initial purchase price of $83.25, means that a capital gain was recorded, in other words, she bought low and sold high.

The capital gain can be computed as the total selling price(selling price per stock multiplied by the number of shares sold) minus the total purchase price.

total selling price=$95.50(i.e. 1/2=0.500

total selling price=$95.50*500

total selling price=$47,750.00

capital gain=$47,750.00-$41,625.00

capital gain=$6,125.00

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1) $9.27  (far store), $9.87 (near store)

2) $0.169 per mile

3) 4.6 miles , 16.8 miles

4) $0.78, $2.84

5) $10.05 to the far store, $12.71 to the near store

What is Cost?

A mathematical formula known as the cost function is used to graph how production costs will change depending on the output level. To put it another way, it calculates the overall cost of production based on the quantity that is produced.

1) Let's compare chicken costs:

$3.09 * 3 = $9.27  (far store)

$3.29 * 3 = $9.87 (near store)

2) Now let's look at how much it costs to travel in your car:

    \(\frac{3.87}{23} = 0.169\ per \ mile\)

           = $0.169 per mile.

3) Next, let's look how much it costs to travel to each store from the gas used. Multiply by 2 because you not only have to drive there, but also back home for the round trip:

2.3 miles * 2 = 4.6 miles

8.4 miles * 2 = 16.8 miles

4) Now to find the cost of gas for the respective trips:

$0.169 * 4.6 = $0.78

$0.169 * 16.8 = $2.84

5) We can just eyeball it from here that it's not worth it to travel, but for completion's sake, let's add the gas and chicken costs together:

$9.27 + $0.78 = $10.05 to the far store

$9.87 + $2.84 = $12.71 to the near store

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The true statements about the given circle's equation are:

(B) The circle's center is on the x-axis.

(A) The circle has a radius of three units.

(E) This circle's radius matches that of the circle whose equation is x2 + y2 = 9.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, the circle's standard equation is written as:

x² + y² + 2gx + 2fy + C = 0

An equation for a circle is:

x² + y² – 2x – 8 = 0

Find the circle's center:

2gx = -2x

2g = -2

g = -1

Similarly:

2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This demonstrates that the circle's center is on the x-axis.

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The circle has a radius of three units.

The radius of the circle where x2 + y2 = 9 is written as:

r² = 9

r = 3 units

As a result, this circle's radius matches that of the circle whose equation is x2 + y2 = 9.

Therefore, the true statements about the given circle's equation are:

(B) The circle's center is on the x-axis.

(A) The circle has a radius of three units.

(E) This circle's radius matches that of the circle whose equation is x2 + y2 = 9.

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Complete question:
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

a. The radius of the circle is 3 units.

b. The center of the circle lies on the x-axis.

c. The center of the circle lies on the y-axis.

d. The standard form of the equation is (x – 1)² + y² = 3.

e. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answer:

729

Step-by-step explanation:

Write the recursive formula through the pattern:

\(a_{n+1}=-3a_{n}\)

Find terms of sequence through 9, -27, 81, -243 :

729

I hope this helps you

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The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

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The person that is the faster runner is Bethany.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

Since Sarah can run 60 metres in 12 seconds, the speed will be:

= Distance / Time

= 60/12

= 5 meters per second.

Bethany can run 100 metres in 15 seconds, the speed will be:

= Distance / Time

= 100/15

= 6.7 m/s

Therefore, Bethany is faster since she has a better speed.

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a. The rate of interest is approximately 4%. b. The equation to model the growth of the investment is \(A= 750 *e^{(0.04t)\). c. To the nearest year, the investment will be worth more than $1000 in approximately 6 years.

To find the rate of interest, we can use the formula for continuously compounded interest:

\(\[A = P \times e^{rt}\]\)

Where:

A = Final value of the investment

P = Initial value of the investment

r = Annual interest rate (in decimal form)

t = Time in years

e = Euler's number (approximately 2.71828)

Given the values in the table:

Years: 0 1 2 3

Value: $750.00 $780.61 $812.47 $845.62

Let's start by using the formula to find the rate of interest:

For Year 1:

\(\$780.61 = \$750.00 * e^{(r * 1)\)

For Year 2:

\(\$812.47 = \$750.00 * e^{(r * 2)\)

For Year 3:

\(\$845.62 = \$750.00 * e^{(r * 3)\)

To simplify the calculation, let's divide the equations:

\((\$780.61 / \$750.00) = e^r\\(\$812.47 / \$750.00) = e^{(2r)\\(\$845.62 / \$750.00) = e^{(3r)\)

Now, we can solve these equations to find the value of r. Taking the natural logarithm (ln) of both sides of each equation:

\(ln(\$780.61 / \$750.00) = r\\ln(\$812.47 / \$750.00) = 2r\\ln(\$845.62 / \$750.00) = 3r\)

Using a calculator or software to compute the natural logarithm, we find:

r ≈ 0.04 (approximately)

So, the rate of interest is approximately 0.04 or 4%.

b. To write an equation to model the growth of the investment, we can use the formula for continuously compounded interest:

\(A = P e^{(rt)\)

Substituting the known values \(A= 750 *e^{(0.04t)\)

c. To determine when the investment will be worth more than $1000, we can set up the equation:

\(1000 = 750 *e^{(0.04t)\)

Solving this equation will give us the time it takes for the investment to exceed $1000.

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The complete question is:

The table shows the values o of an investment after the given number of years of continuously compounded interest.a. What is the rate of interest? Years 0 1 2 3 Value $750.00 $780.61 $812.47 $845.62 a. What is the rate of interest? b. Write an equation to model the growth of the investment. C. To the nearest year, when will the investment be worth more than $1000?

Answer:

- 3

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

\(\frac{h(b)-h(a)}{b-a}\)

Here [ a, b ] = [ - 1, 5 ] , then

h(b) = h(5) = - 5² +  5 + 4 = - 25 + 9 = - 16

h(a) = h(- 1) = - (- 1)² + (- 1) + 4 = - 1 - 1 + 4 = 2

average rate of change = \(\frac{-16-2}{5-(-1)}\) = \(\frac{-18}{6}\) = - 3

Answer:

A. y < -12

Step-by-step explanation:

Step 1: Write inequality

y + 15 < 3

Step 2: Solve for y

When we are interested in deviations greater than or less than the hypothesized value, we do a two-sided test.

A two-tailed or two-sided test determines whether a sample is greater than or less than a specific range of values by using a two-sided critical area of distribution.

This test tests the null hypothesis. This test determines whether there is a statistically significant difference between the sample and population mean.

This test also determines whether a claim is true or not.

This test differs from a one-tailed test because one-tailed tests permit the potential for a one-directional effect. But the two-tailed tests examine the potential for two-directional (positive and negative directions) effects.

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The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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4. The transformation by Mrs. Selcer of the function f(x) = x² to create g(x) = 6·x², is a vertical stretch of the function f(x), therefore;

The transformation of a function is a function that results in a variation in the graph of the parent function.

The rules for the transformation of a function indicates that a transformation of a function f(x) to a·f(x), transform the coordinates of the points of f(x) as follows;

(x, y) → (x, a·y)

Therefore;

The transformation is a vertical stretch when a > 1

The transformation is a horizontal compression when a < 1

Since f(x) = x², and g(x) = 6·x², we get;

g(x) = 6·f(x)

Therefore, comparing, we get; a = 6 > 1, which indicates that the function is vertically stretched.

Therefore, Jane is correct.

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Answer:

Step-by-step explanation:

B

a) 2.7% of mayflies live at least 26.8 hours.

b) 85% of the mayflies die after approximately 26.2 hours.

a) We can begin by standardizing the value of 26.8 hours:

\(z = \frac{26.8 - 23.7}{1.6} = 1.9375\)

Using a standard normal table or a calculator, we can find that the probability of a standard normal random variable being greater than 1.9375 is approximately 0.027, or 2.7%. Therefore, about 2.7% of mayflies live at least 26.8 hours.

b) We want to find the value of x such that 85% of the mayflies have a lifespan less than x. To do this, we need to find the z-score corresponding to the 85th percentile of the standard normal distribution:

\(z = \text{invNorm}(0.85) \approx 1.04\)

Then we can solve for x:

\(x = \mu + z\sigma = 23.7 + 1.04(1.6) \approx 26.2\)

Therefore, 85% of the mayflies die after approximately 26.2 hours.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

C

Step-by-step explanation:

I got it right :)

The graph which could represent an inequality which begins with y < .... is; Choice C; C.

It follows from the task content that the graph which could represent an inequality that begins with y < ..is required to be determined.

Since the inequality symbol is less; it follows that the boundary line for the inequality would be a broken line and the region shaded is the region below the line.

Ultimately, the graph that could represent the inequality is; Choice C; C.

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Answer:

9x⁵ + 191

Step-by-step explanation:

Simplify: 17 + 64 + 124 + 9x⁵ - 14

Collect Like Terms: 9x⁵ + (17 + 64 + 124 - 14)

Simplify: 9x⁵ + 191

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- ElizabethKate

The formula for calculating the volume of an octagonal pyramid is

V = 1/3(Bh)

From the question, we are to determine the formula that can be used to determine the volume of octagonal pyramid.

An octagonal pyramid is a pyramid that has a bottom that's the shape of an octagon and has triangles as sides. It has a total of nine faces. The octagonal base and eight connecting triangles.

The formula for calculating the volume of an octagonal pyramid is

V = 1/3(Bh)

Where V is the volume of the octagonal pyramid

B is the area of the base

and his the perpendicular height

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Answer:

yeah

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

second option

Step-by-step explanation:

mark me brainliest pls

Answer:

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Answer:

7% my answer i think if im mistake please dont report me

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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Step-by-step explanation:

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