Write 14/9
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer:

205 yards

Step-by-step explanation:

One yard is 3 feet

Divide 615 feet by 3 to get 205

Answer:

-1/2

Step-by-step explanation:

y2 - y1

----------

x2 - x1

Answer:

Step-by-step explanation:

\(g(x) = {x}^{2} - 2\)

To find g(2) - 2 first find g(2) by substituting the value of x that's 2 into the original expression after that subtract 2 from the final answer obtained.

We have

\(g(2) = {2}^{2} - 2 \: \: \: \: \: \: \: \: \: \: \\ = 4 - 2 = 2 \\ \\ \\ g(2) - 2 = 2 - 2 = 0\)

We have the final answer as

Hope this helps you

A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

The area of a parallelogram is the product of its base and its perpendicular height. It is given by:

Area = base * perpendicular height

If Height of parallelogram is 3m and Area is 9m². Let h represent the height, hence:

Area = base * perpendicular height

Substituting:

9 = 3 * h

h = 3 m

A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

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Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

Let's assume that 225 is 3/4.

225/3 = 75

75 x 4 = 300

Step-by-step explanation:

Hope this helped! Have a great day!

Consider that the operation U means union in between two sets. The union cosists in adding all elements of the implied sets without repeating elements.

THen, for the given sets X and Y, you obtain:

X U Y = {29, 31 , 59, 61}

Answer:

\( x = 3 \)

Step-by-step explanation:

To find the value of x, we need an equation to solve for x.

Given that T is the midpoint of segment SU, it therefore means that, T divides SU into two equal parts, ST = TU.

\( ST = 8x + 11 \)

\( TU = 12x - 1 \)

\( ST = TU \)

\( 8x + 11 = 12x - 1 \) (substitution)

Subtract 12x from each side

\( 8x + 11 - 12x = 12x - 1 - 12x \)

\( -4x + 11 = - 1 \)

Subtract 11 from both sides

\( -4x + 11 - 11 = - 1 - 11 \)

\( -4x = - 12 \)

Divide both sides by -4

\( \frac{-4x}{-4} = \frac{-12}{-4} \)

\( x = 3 \)

Answer:x=3

Step-by-step explanation:

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

The quadratic function that represents the given graph is:

y = ¹/₂(x − 4)² - 1

The general form of a quadratic equation in Vertex Form is expressed as:

y = a(x − h)² + k,

where

(h, k) is the vertex.

From the given graph, we can see that the coordinates of the vertex is (4, -1). Thus, we have:

y = a(x − 4)² - 1

Looking at the four given options from Option A to Option D, we can deduce that only given option that gives us the coordinates of the quadratic curve vertex is option D.

Thus, we can conclude that the quadratic function that truly represents the given parabolic graph curve is:

y = ¹/₂(x − 4)² - 1

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Then

X = number of bikes

Y = cost of operation

Store gain for bike= $120 - $80= $40

Then ,to break even

Bike store must sell

X= Y/40 = 3600/40 = 90

Then answer is ,90 bicycles must be sold b

Answer:

Thx

Step-by-step explanation:

u too. I wanna be brainliest.

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Using trigonometric ratio, the value of tan V is √7 / 8

To find the value of tan V, we have to use trigonometric ratio.

In the triangle, we have the opposite side and the hypothenuse. We can find the adjacent side using Pythagoras theorem.

Substituting the values into the formula;

w² = v² + x²

(√71)² = (√7)² + x²

71 = 7 + x²

x² = 71 - 7

x² = 64

x = √64

x = 8

The value of tan V;

tan V = opposite /adjacent

tan V = √7 / 8

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Answer:

t = 5/2 is the solution of this equation ....

plz mark my answer as brainlist plzzzz vote me also

The measure of the angles subtended by their arcs at the circumference are a = 29° and c = 43°. The angle between the tangent line b = 61°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference.

2a = 58°

a = 58°/2

a = 29°

a + b = 90° {angles tangent line perpendicular to the radius}

29° + b = 90°

b = 90° - 29°

b = 61°

2c = 86

c = 86/2

c = 43°

Therefore, the measure of the angles subtended by their arcs at the circumference are a = 29° and c = 43°. The angle between the tangent line b = 61°

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Given equations are

Multiplying 2 and (-2x-7), we get

Adding 14 on both sides, we get

Multiplying both sides by (-5), we get

Hence we get (x, y)= ( -3, -1).

Option D) is correct.

Answer: x^2+6x-15

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

Answer:

B and D

Step-by-step explanation:

If you are dividing by 2/9, that means you are multiplying by 9/2.

This can be split into multiplying by 9 and then dividing by 2, or multiplying by 9 and multiplying by 1/2.

Therefore, B and D work

Answer:

  (x < 0) ∪ (x > 1/2)

Step-by-step explanation:

First inequality:

  x^3 < 0

  x < 0 . . . . . take the cube root

Second inequality:

4x^4 > x^2

4x^4 -x^2 > 0

x^2(4x^2 -1) > 0

Any non-zero x will make the first factor positive. The product will be positive only when the second factor is positive, for x^2 > 1/4

  x^2 > 1/4

  |x| > 1/2 . . . . . take the square root

  x < -1/2   or   x > 1/2

The first part of this solution is already covered by the solution to the first inequality. Hence the solution set for the system of inequalities is ...

  (x < 0) ∪ (x > 1/2)

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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(a) The probability of a failure given there are more than 1,000 wells in a geological formation is 0.1001.

(b) The probability of a failure given there are fewer than 500 wells in a geological formation is 0.0852.

(a) We have to determine the probability of a failure given there are more than 1,000 wells in a geological formation.

P(B∣A) = Total number of failed wells more than 1000 wells/Total number of wells with 1000 failed wells

P(B∣A) = (180 + 443 + 60)/(1685 + 3733 + 1403)

P(B∣A) = 683/6821

P(B∣A) = 0.1001

(b) We have to determine the probability of a failure given there are fewer than 500 wells in a geological formation.

P(B∣C) = Number of failed well/Number of failed wells with total less that 500 wells

P(B∣C) = (2 + 14 + 44 + 3)/(28 + 363 + 309 + 39)

P(B∣C) = 63/739

P(B∣C) = 0.0852

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The complete question is:

Consider the well failure data in the table below. Let A denote the event that the geological formation of a well has more than 1000 wells, let B denote the event that a well failed, and let C denote the event that the geological formation of a well has fewer than 500 wells.

(a) What is the probability of a failure given there are more than 1,000 wells in a geological formation? Round your answer to four decimal places (e.g. 98.7654). P(B∣A)=

(b) What is the probability of a failure given there are fewer than 500 wells in a geological formation? Round your answer to four decimal places (e.g. 98.7654). P(B∣C)=

Answer:

x= y^2+4y+4

Step-by-step explanation:

x= (y+2)(y+2)

x= y^2+2y+2y+4

x= y^2+4y+4

Answer:

X = y^2 + 4y + 4

Y= (√X) -2

Step-by-step explanation:

X = (Y+2)^2

X = (Y+2)(Y+2)

X = Y^2 + 4y + 4

X = (Y+2)^2

√X = √(Y+2)^2             (taking the root of both sides cancels the exponent)

√X = Y+2

-2        -2

(√X) - 2 = Y

or

Y = (√X) - 2

Answer: -392

Step-by-step explanation:

Answer:

x=91

Step-by-step explanation:

Follow the steps in the image.

add 16 to both sides

subtract 3 from both sides

divide by 1x

Plug answer back into equation

-Hope this helped

The area of the rectangular figure with two semicircles on the opposite side is  36.56 sq cm.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A rectangle with two semicircles on two opposite sides.

The length of the rectangle is 6cm and the width of the rectangle is 4cm.

The two given semicircles have a diameter of 4cm seems obvious.

∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.

∴ (4×6) + π(2)² sq cm.

= 24 + 4π sq cm.

= 24 + 12.56 sq cm.

= 36.56 sq cm.

The area which is not taken up in the rectangle and two circle questions are

(area of the rectangle - 2 times the area of a circle).

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Answer: 1.3

Step-by-step explanation: Ok, let's make a number line...

0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6

From the number line, the only number that fits is 1.3

I hope this helps!

Answer:

1.3

Step-by-step explanation:

Hope this helps have a wonderful day