Which of the following verified the triangle COW is similar to triangle PIG? Ignore the answer I filled in I didn’t meant to pick that one.

Answer: 144/9

Step-by-step explanation:

By the geometric mean theorem, x/12 = 12/9.

x = 12 * 12/9

x = 144/9

(i) The equation of the axis of symmetry is x = - 5.

(ii) The coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) According to the vertex form of the quadratic equation, the parabola opens down due to negative lead coefficient and has a vertex at (2, 4), which is a maximum.  

In this question we must find and infer characteristics from three cases of quadratic equations. (i) In this case we must find a formula of a axis of symmetry based on information about the vertex of the parabola. Such axis passes through the vertex. Hence, the equation of the axis of symmetry is x = - 5.

(ii) We need to transform the quadratic equation into its vertex form to determine the coordinates of the vertex by algebraic handling:

y = x² - 8 · x - 2

y + 18 = x² - 8 · x + 16

y + 18 = (x - 4)²

In a nutshell, the coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) Now here we must apply a procedure similar to what was in used in part (ii):

y = - 2 · (x² - 4 · x + 2)

y - 4 = - 2 · (x² - 4 · x + 2) - 4

y - 4 = - 2 · (x² - 4 · x + 4)

y - 4 = - 2 · (x - 2)²

According to the vertex form of the quadratic equation, the parabola opens down due to negative lead coefficient and has a vertex at (2, 4), which is a maximum.  

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The given statement "The lines shown below are perpendicular is true.

Line G (green) passes through points (-4,3) and (4, -3).

Line R (red) passes through points (-3,-5) and (3, 3).

To determine if two lines are perpendicular, we need to check if the product of their slopes is -1.

For Line G, let's calculate its slope using the formula:

slope(G) = (y₂ - y₁)/(x₂ -x₁ )

Using the points (-4,3) and (4,-3):

slope(G) = (-3 - 3) / (4 - (-4)) = (-6) / 8 = -3/4

For Line R, let's calculate its slope using the same formula:

(slope R) =  (y₂ - y₁)/(x₂ -x₁ )

Using the points (-3,-5) and (3,3):

(slope R) = (3 - (-5)) / (3 - (-3)) = 8 / 6 = 4/3

Now, let's calculate the product of the slopes:

(slope G) x (slope R) = (-3/4) x (4/3) = -1

Since the product of the slopes is -1, we can conclude that Line G and Line R are perpendicular.

Therefore, the correct answer is true.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer:

2x + 44 (or) 2(x + 22)

Step-by-step explanation:

Let's solve the problem,

→ 8(x + 6) - 6(x + 1) + 2

→ 8x + 48 - 6x - 6 + 2

→ 2x + 48 - 4

→ 2x + 44

Thus, the answer is 2x + 44.

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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Answer:

Yes, 16, 11

Step-by-step explanation:

Hopefully this helps :))))))

Have a good day! :))))))))))))))

The distance between two points in three-dimensional space is a measure of the separation between the two points. In this case, the two points are the center of a sphere and a point that the sphere passes through.

To find the distance, we can use the distance formula in three dimensions, which is an extension of the distance formula in two dimensions. The distance formula is:

d = √((x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2)

where (x1, y1, z1) is the center of the sphere and (x2, y2, z2) is the point that the sphere passes through. The square root of the sum of the squares of the differences between the corresponding coordinates gives the distance between the two points.

In this problem, the center of the sphere is not given, so it is not possible to calculate the distance between the sphere and the point. The center of the sphere is a crucial piece of information needed to solve this problem.

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The number of labor hours Melanie needed to complete the job was 19.5 hours, using the equation x = (1,370 - 200) ÷ 60.

An equation is a mathematical statement showing the equality or equivalence of two or more mathematical expressions.

An expression may be a combination of variables, numbers, and mathematical operands, like subtraction and division without the equal symbol (=).

The total bill = $1,370

The cost of parts = $200

Hourly rate for labor = $60

Let the number of hours Melanie needed to complete the job = x

x = (1,370 - 200) ÷ 60

x = 1,170 ÷ 60

x = 19.5 hours

Thus, Melanie needed 19.5 hours, based on the equation above.

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Answer:

100

Step-by-step explanation:

A triangle would add up to 180 degrees, therefore you would just follow the steps below for this problem:

35+45= 80

80+x=180 (subtract 80 from both sides)

x= 100°

Answer:

x=100

Step-by-step explanation:

The sum of a triangle is always 180 so you'd add the given number together which would be 80 and subtract the from 180 so it would look like this 45+35+x=180

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer:

50

Step-by-step explanation:

58 - 9.5

Answer:

Your correct answer is 52.49

Step-by-step explanation:

Subtract.

58 - 9.5% = 52.49

Answer:

Larger number: 29

Smaller number: 13

Step-by-step explanation:

29 + 13 = 42

29 - 16 = 13

Answer:

Larger number: 29

Smaller number: 13

Step-by-step explanation:

x = larger number

y = smaller number

x+y=42

29-13 = 16

29+13=42

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The linear function graphed is defined as follows:

y = 3x/2 - 3.

(third option).

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = -3.

When x increases by 2, y increases by 3, hence the slope m is given as follows:

m = 3/2.

Then the function is defined as follows:

y = 3x/2 - 3.

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Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Answer:

9

Step-by-step explanation:

\(AB+BC=AC \\ \\ 3+AB=12 \\ \\ AB=9\)

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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Answer:

-3 and 11

Step-by-step explanation:

The prοbability that exactly 13 οf the 20 pitches are strikes is apprοximately 0.1835 οr 18.35%.

The binοmial distributiοn is a prοbability distributiοn that mοdels the number οf successes in a fixed number οf independent trials with a cοnstant prοbability οf success.

It is used tο calculate the prοbability οf getting k successes in n trials, where each trial has a prοbability οf p οf success.

The fοrmula fοr the prοbability οf k successes in n trials with prοbability p οf success in each trial is:

               \(P(k) = (n, k) \times p^{k} \times (1-p)^{n-k}\)

Here we have

A softball pitcher has a 0.64 probability of throwing a strike for each pitch. The softball pitcher throws 20 pitches,

This problem can be solved using the binomial distribution

The formula for the probability of k successes in n trials with probability p of success in each trial is:

    \(P(k) = (n, k) \times p^{k} \times (1-p)^{n-k}\)

On substituting the values, we get:

P(13) = (20, 13) × 0.64¹³ ×(1-0.64)⁽²⁰⁻¹³⁾

= (20! / (13! × 7!)) × 0.64¹³ × 0.36⁷

= 77520 × 0.00000236

= 0.1835 (rounded to four decimal places)

Therefore,

The probability that exactly 13 of the 20 pitches are strikes is approximately 0.1835 or 18.35%.

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Answer:

Step-by-step explanation:

Answer:

So the answer is

FMA Assignment 01

1. Jornal

2. Date (Mar) Accounts Title Debit ($) Credit ($)

1 Cash 60,000

Common Stock 60,000

3 Land 23,000

Buildings 9,000

Equipment 6,000

Cash 38,000

5 Advertising Expenses 1,600

Cash 1,600

6 Prepaid Insurance 1,480

Cash 1,480

10 Equipment 26,000

Accounts Payable 26,000

18 Cash 800

Golf Revenue 800

19 Cash (100 x 15) 1,500

Unearned Revenue 1,500

25 Dividends 1,000

Cash 1,000

30 Salaries Expenses 600

Cash 600

30 Accounts Payable 26,000

Cash 26,000

31 Cash 500

Golf Revenue 500

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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Answer:

multiply the diameter of the circle with π (

Step-by-step explanation:

Answer:  blue water: 00

               Yellow water: 000

Step-by-step explanation:

just show how many parts

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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a  djjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answer: 1/3

Step-by-step explanation:

In a multiple-choice examination with 3 choices for each question, the probability of guessing the correct answer is 1/3. Since you are trying to guess exactly 6 of 10 answers correctly, this means that you will be guessing incorrectly on 4 of the 10 questions. The probability of guessing incorrectly on a single question is 2/3.

To find the probability of guessing exactly 6 of 10 answers correctly, we can use the binomial probability formula, which is given by the following expression:

P(x) = (n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

In this formula, n is the total number of trials, x is the number of successes, p is the probability of success on a single trial, and 1-p is the probability of failure on a single trial.

Plugging in the values for this problem, we get:

P(6) = (10!/(6!(10-6)!) * (1/3)^6 * (2/3)^4

= 210 * (1/3)^6 * (2/3)^4

= 210 * (1/3^6) * (2/3^4)

= 210 * (1/3^6) * (1/3^2)

= 210 * (1/3^8)

= 210 * (1/6561)

= 0.0322

So the probability of guessing exactly 6 of 10 answers correctly in a multiple-choice examination with 3 choices for each question is approximately 0.0322, or about 3.22%.

Answer:

v = 2

Step-by-step explanation:

You can start by distributing -6:

7v - 20 = -6v + 6

To combine the like x terms, you can add 6v to both sides:

7v - 20 = -6v + 6

+6v          +6v

13v - 20 = 6

Now add 20 to both sides to isolate the x term:

13v - 20 = 6

      +20   +20

13v = 26

You can divide by 13 on both sides to find v,

13v = 26

÷13    ÷13

v = 2

Answer:

v= 2

Step 1: Simplify both sides of the equation.

7v−20=−6(v−1)  

7v+−20=−6v+6

7v−20=−6v+6

Step 2: Add 6v to both sides.

7v−20+6v=−6v+6+6v

13v−20=6

Step 3: Add 20 to both sides.

13v−20+20=6+20

13v=26

Step 4: Divide both sides by 13.

13v/13   = 26/13  

v=2