the ratio of number of red balls to green balls is 5:6. the green balls are either light green or dark green in the ratio 4:2. if there are 12 dark green balls find the number of light green balls and red balls.


please help me quick!

Answer:

\(x<12\)

Step-by-step explanation:

\(5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12\)

Option A is correct, x<12 represents the solution set of 5(x+5) <85

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5(x+5) <85

We have to find the solution set of the given inequality

Five times of x plus five less than eight five.

Apply distributive property

5x+25<85

Subtract 25 from both sides

5x<85-25

5x<60

Divide both sides by 5

x<12

Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85

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Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Given that :

To find :

Solution :

•Let us take the units digit be x

•Then the tens digit will be 2x [As it is given that the tens digit is two times the units digit]

A/Q

↪2x + x = 66

↪3x = 66

↪x = 66/3

↪x = 22

Therefore,the units digit is 22

And the tens digit is 2x = 2 × 22 = 44

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

y = 12x + 10

Step-by-step explanation:

The equation of the line in slope-intercept form is y = 12x + 10.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is 12 and the y-intercept is 10, we have:

y = 12x + 10

Therefore, the equation of the line in slope-intercept form is y = 12x + 10.

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Based on the equation in the question , the R2 would be 0.934.

To compute R2, we need to use the formula:

R2 = SSR / SST

Given that SSR = 14,141.7 and

SST = 15,128.4,

We can substitute these values into the formula:

R2 = 14,141.7 / 15,128.4

R2 ≈ 0.934

b. To compute Ra2, we need to subtract R2 from 1:

Ra2 = 1 - R2

Substituting the value of R2 we calculated in part a:

Ra2 ≈ 1 - 0.934

Ra2 ≈ 0.066

c. A large R2 value indicates that the estimated regression equation explains a large amount of the variability in the data.

In this case, R2 is approximately 0.934, which means that the estimated regression equation explains about 93.4% of the variability in the data.

So, the answer is "Yes".

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Answer:

\(f(t) = 7.23( {1.0114}^{t} )\)

t = 0 represents January 1, 2014

(a)

\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)

The population of the world is expected to be about 7.739 billion people on January 1, 2020.

(b)

\(7.23( {1.0114}^{t} ) = 10\)

\(t = about \: 28.61 \: years\)

The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).

Answer:

Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.

Translating English statements into logical expressions requires identifying the appropriate quantifiers and logical operators to represent the given statements.

1. There is a computer which is not used by any student.

Logical expression: ∃c (Computer(c) ∧ ¬∃s (Student(s) ∧ Uses(s, c)))

2. Bill has at least two sisters.

Logical expression: ∃b (Person(b) ∧ Sister(b, s1) ∧ Sister(b, s2) ∧ s1 ≠ s2)

3. Every student takes at least one course.

Logical expression: ∀s (Student(s) → ∃c (Course(c) ∧ Takes(s, c)))

4. Only one student failed Computer Science II.

Logical expression: ∃s (Student(s) ∧ Failed(s, CSII) ∧ ¬∃s' (s' ≠ s ∧ Failed(s', CSII)))

5. No student failed CS I but at least one student failed CS II.

Logical expression: ¬∃s (Student(s) ∧ Failed(s, CSI)) ∧ ∃s (Student(s) ∧ Failed(s, CSII))

6. Every student who takes CS I also takes CS II.

Logical expression: ∀s (Student(s) ∧ Takes(s, CSI) → Takes(s, CSII))

In each translation, we use quantifiers (∃ for "there exists" and ∀ for "for all") to capture the existence or universality of certain objects. Logical operators such as ∧ (logical "and") and ¬ (logical "not") are used to combine and negate statements as needed.

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Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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By definition a square has all 4 sides equal, the area of a square is sxs or s^2, so s^2 = 400, s = square root of 400 = 20. All sides will be equal to 20 m. The perimeter is the sum of the sides or 4 x s or 80.

Steps:

A= L^2

Where L is length of the side

400=L^2 》》》》》 square root

L= 20 all sides of square are 20 m

P = 4L

=4(20)

=80m

The plane flies approximately 13,773 meters through the air before reaching its cruising altitude.

To calculate the distance that the plane flies through the air before reaching its cruising altitude, we need to find the horizontal component of the distance traveled during the initial climb.

Speed of the plane = 300 km/h

Angle of climb = 36°49′

Time of climb = 3 minutes.

First, let's convert the angle of climb from degrees and minutes to decimal degrees for ease of calculations.

36°49′ = 36 + (49/60) ≈ 36.817°

Now, we can calculate the horizontal component of the distance traveled during the climb using trigonometry

The horizontal distance (d) can be found using the formula:

\(d = v \times t \times cos(\theta)\)

Where:

v is the speed of the plane,

t is the time of climb, and

theta is the angle of climb in radians.

Converting the speed from km/h to m/s:

\(300 km/h = (300 \times 1000) / (60 \times 60) m/s \approx 83.33 m/s\)

Converting the time of climb from minutes to seconds:

\(3 $ minutes = 3 \times 60 $ seconds = 180 seconds\).

Converting the angle of climb from degrees to radians:

\(36.817= (36.817 \times \pi ) / 180 $ radians \approx 0.642 $ radians\)

Now, we can calculate the horizontal distance:

\(d = 83.33 m/s \times 180 s \times cos(0.642 radians) \approx 13,773 meters\)

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Calculate the amount of people on both sides.

32% preferred cats

32% of 800

0.32 × 800 = 256 people

27% preferred dogs

27% of 800

0.27 × 800 = 216 people

So 256 people preferred cats and 216 people preferred dogs.

256 - 216 = 40 people

40 more people preferred cats than preferred dogs

40 people preferred cats more than preferred dog.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Total number of people participated in survey = 800.

Percentage of people who preferred cats = 32%,

And percentage of people who preferred dogs = 27%.

The percentage of  people who preferred cats more than preferred dogs

= 32 - 27

= 5 %

The number of people preferred cats more than preferred dogs

= 800 x 5/100

= 40.

There are 40 more people preferred cats than dog.

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Answer: x=9

Step-by-step explanation: Let the number equal to X, then 7+5x is equal to 52. 5x=52-7. 5x=45. x=45 divided by 5.

x=9

Answer:its c

Step-by-step explanation:

Took the test

Answer:

C

Step-by-step explanation:

False. The expression \((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

The expression\((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

To simplify \((3ab - 6a)^2\), we need to apply the exponent of 2 to the entire expression. This means we have to multiply the expression by itself.

\((3ab - 6a)^2 = (3ab - 6a)(3ab - 6a)\)

Using the distributive property, we can expand this expression:

\((3ab - 6a)(3ab - 6a) = 9a^2b^2 - 18ab^2a + 18a^2b - 36a^2\)

Simplifying further, we can combine like terms:

\(9a^2b^2 - 18ab^2a + 18a^2b - 36a^2 = 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\)

The correct simplified form of \((3ab - 6a)^2 is 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\).

The statement that\((3ab - 6a)^2\) is the same as 2(3ab - 6a) is false.

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None of the functions has range (2, ∞).

When a function is applied to its entire set of outputs, its range is the set of outputs it produces. The range in the metaphor of the function machine refers to the collection of objects that really exit the machine after being fed all of its inputs.

Given:

(2, ∞)

The function has y = 2x has no restrictions for its domain, since it's defined for all x ∈ R.

The domain of the function is (-∞,∞) and the range also is (-∞,∞).

The function y = 2(5x) is defined for all x ∈ R.

The domain of the function is (-∞,∞) and the range also is (-∞,∞).

The function y = 5x + 2 is defined for all all x ∈ R.

The domain of the function is (-∞,∞) and the range also is (-∞,∞).

Hence, None of the functions has range (2, ∞).

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The value lost as a result of the recession is $8,332.30.

From the given answer choices, the closest value to $8,332.30 is option c) $257.70.

So, the correct answer is option c) $257.70.

To calculate the value lost as a result of the recession, we need to find three percent of the initial value of the gold reserves and subtract it from the initial value.

First, let's find three percent of $8,590:

(3/100) * $8,590 = $257.70

This means that the value of the gold reserves has decreased by $257.70 due to the recession.

To find the value lost, we subtract this amount from the initial value:

$8,590 - $257.70 = $8,332.30

Therefore, the value lost as a result of the recession is $8,332.30.

From the given answer choices, the closest value to $8,332.30 is option c) $257.70.

So, the correct answer is option c) $257.70.

In conclusion, the value lost as a result of the recession is approximately $257.70.

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Answer:

Page 1

a) plane ABC or plane ABF (really any combo of A, C, B, and F since they all lie on the plane)

b) B, C, F

c) A or B (they both lie on the same line)

d) AC or BC or AB (all variations of the same line)

Page 2

1)perpendicular

2) perpendicular

3) parallel

Page 3

a) ∠RQS and ∠SQR

b)∠TQR and ∠RQT

c) point Q

Hope this helps :))

Answer:

y= x+ 4

is the answer

Answer:

1) x = 22.5

Step-by-step explanation:

4/9 = 10/x

4 × x = 10 × 9

4x = 90

4x/4 = 90/4

x = 22.5

Answer:

2) 2.4

Step-by-step explanation:

5/2 = 6/x

5 × x = 6 × 2

5x = 12

5x/5 = 12/5

x = 2.4

Answer:

3) x = 0.8

Step-by-step explanation:

5/2 = 2/x

5 × x = 2 × 2

5x = 4

5x/5 = 4/5

x = 0.8

hope it helps!! (I'll add other answers too)

tell me if any of my answers are wrong

Answer:

11 degrees

Step-by-step explanation:

The bottom triangle has 2 given angle, therefore we know the 3rd angle has to be 29 degrees. Given that the 2 lines are parallel, we know that the upper triangle has 140, 29, and x degrees. 180-140-29=x=11 degrees

Hope this helped, feel free to leave a comment if you still have any questions!

Cheers!

Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.

An example of a shock add is Poking fun at events

By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.

The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.

These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.

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Answer:

Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

Step-by-step explanation: hi

Answer:

The answer is A

Step-by-step explanation:

In other words, Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

Answer:

(3, -4)

Step-by-step explanation:

Hope This Helps! : )

The Second Fundamental Theorem of Calculus (FTC) relates the definite integral of a function f with its antiderivative F.

It states that if f is continuous on the interval [a,b], then the definite integral of f from a to b is equal to the difference between the antiderivative of f evaluated at b and a. In other words, the Second FTC tells us that integration is the reverse process of differentiation, and provides a method for evaluating definite integrals.

More specifically, the Second FTC states that if f is a continuous function on [a,b] and F is an antiderivative of f, then the definite integral of f from a to b is given by:

∫(from a to b) f(x) dx = F(b) - F(a)

This means that the definite integral of f can be computed by finding any antiderivative F of f and evaluating F(b) and F(a) at the limits of integration. The Second FTC is a powerful tool for evaluating definite integrals, especially when the integrand is difficult or impossible to integrate using standard techniques.

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Complete question:

what does the second FTC tell us about the relationship between a and f? write an equation to describe the relationship.

Answer:

c is rational

Step-by-step explanation:

it just is

The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer:

Step-by-step explanation:

2x+15=60(2x is written because there two parallel lines which not given)

2x=15-60

2x=-45

x=-45/2

that's the answer

please make me the brainlest thanks