3. The measures, in degrees, of the three
angles of a triangle are given by 2x + 1,
3x-3, and 9x What is the measure of the
smallest angle?

Answer:

9. im not sure though

Step-by-step explanation:

Answer:

\((-1/2)\).

Step-by-step explanation:

In a cartesian plane, if the equation of a line is in the slope-intercept form \(y = m\, x + b\), then \(m\) would be the slope of that line.

Rewrite the equation of the given line to obtain the slope-intercept equation for this line:

\(\displaystyle 2\, x - y = \frac{6}{7}\).

\(\displaystyle -y = -2\, x + \frac{6}{7}\).

\(\displaystyle y = 2\, x - \frac{6}{7}\).

In other words, the slope of the given line is \(2\).

Let \(m_{1}\) denote the slope of the given line, and let \(m_{2}\) denote the slope of the line perpendicular to the given line.

If two lines in a cartesian plane are perpendicular to one another, the product of their slopes would be \((-1)\). In other words, \(m_{1} \cdot m_{2} = -1\). Rearrange to obtain an expression for the slope of the line perpendicular to the given line:

\(\displaystyle m_{2} = -\frac{1}{m_{1}}\).

The slope of the given line has been found: \(m_{1} = 2\). Hence, the slope of the line perpendicular to this given line would be:

\(\begin{aligned}m_{2} &= -\frac{1}{m_{1}} \\ &= -\frac{1}{2}\end{aligned}\).

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

The answer to this question can be found by counting.

The

Option D is correct, the differentiate of the equation of x³+y³=1 is dy/dx=-x²/y²

A differential equation is an equation that contains one or more functions with its derivatives.

We have to differentiate the equation of x³+y³=1

Differentiate both sides

3x²+3y²dy/dx=0

3y²dy/dx=-3x²

Divide both sides by 3y²

dy/dx=-x²/y²

Hence, option D is correct, the differentiate of the equation of x³+y³=1 is dy/dx=-x²/y²

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Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer:

4096

Step-by-step explanation:

Need to know how you got it? Comment on this answer.

According to the given data we have the following:

motorcycle length=7.5ft

The covers are sold in only whole foot increments, therefore, the size cover that Juanita should buy would be=motorcycle length+ 0.5 additional ft

Therefore, the size=7.5ft+0.5ft=8 ft

The size cover should juanita buy ​would be 8 ft.

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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2200 because all 200 stocks dropped 11$ equaling 2200

Answer:

11*20!

Step-by-step explanation:

(20!+21!+22!)/44=

20!(1+21+21*22)/44=

20!(22+22*21)/44=

20!*22*22/44= 11*20!

The simplified expression of (20!+21!+22!)/44 is 20! * 11

The expression is given as:

(20!+21!+22!)/44

The factorial of a number n is:

n! = n * (n - 1)!

So, we start by expanding 22!

(20!+21!+22!)/44 = (20!+21!+22 * 21 * 20!)/44

Next, we expand 21!

(20!+21!+22!)/44 = (20!+21 * 20!+22 * 21 * 20!)/44

Factor out 20!

(20!+21!+22!)/44 = 20! * (1 + 21 + 22 * 21)/44

Evaluate the expression in the bracket

(20!+21!+22!)/44 = 20! * 484/44

Divide

(20!+21!+22!)/44 = 20! * 11

Hence, the simplified expression of (20!+21!+22!)/44 is 20! * 11

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The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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You can write each term in the given expression as the sum or difference of two terms:

Then, the next expression is ewual to the given expression:

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.

There are several types of correlation:

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

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Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

5 + 7 = 12 total fruits, which means that \(N = 12\)

7 apples, which means that \(k = 7\)

You receive 2 fruits, which means that \(n = 2\)

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182\)

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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Answer:

x = 11

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{3}\) (2x + 5) = 3 , then

2x + 5 = 3³ = 27 ( subtract 5 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

The answer is 4,000.

The rules for rounding:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40 or 60 to the nearest hundred is 100.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30 or 45 to the nearest hundred is 0.

Answer:

4,000

Step-by-step explanation:

Because the hundreds place is below 5, that means you round down to get to the last thousands place, which is 4,000.

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

Answer:

4/25 maybe?

Step-by-step explanation:

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

Answer:

20x+40

Step-by-step explanation:

Hey there! first, we multiply 5 x 4x = 20x. then we multiply 5 x 8 = 40

now we add them but in the 20x there is x so we can't add them but we can write them as 20x + 40

Answer:

\(\huge\boxed{\sf{20x+40}}\)

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac \(\mapsto\) we multiply a times b and c

Now, simplify the given expression:

5(4x+8)

20x+40

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

Answer:last one

Step-by-step explanation:

A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are  mathematically given as

Generally, the equation for Mean is mathematically given as

\(X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}\)

X=36

b)

Generally, the equation for standard deviation is mathematically given as

\(\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\\)

\(\sigma=5\)

c)

The probability that the number will be exactly 19

\(p(x=19)=\frac{19-6}{66-6}\)

p(x=19)=0.2167

d)

The probability that the number will be between 28 and 46 is P(28 < x < 46)

\(P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})\)

P(28 < x < 46) =0.3

e)

The probability that the number will be larger than 48 is P(x > 48)

\(P(x > 48)=1-P(x\leq 48)\)

Therefore

\(P(x > 48)=1-(\frac{48-6}{66-6})\)

P(x > 48)=0.3

f)

\(P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))\)

Therefore

\(P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})\)

P(x > 17 | x < 62) =0.75

g)

The 49th percentile

\(p(x\leqk=k.(1/66-6))\)

Therefore

\(0.49=k*(1/(66-6))\)

k=29.4

h)

The maximum for the lower quartile

P(xl)=h*1/60

0.25=h*1/60

h=15

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(a) The probability that a point chosen randomly inside the rectangle is in the square is 0.6.

(b) The probability that a point chosen randomly inside the rectangle is outside the square is 0.4.

The probability that a point chosen randomly inside the rectangle is in each given shape is calculated as follows;

The area of the triangle is calculated as follows;

area = ¹/₂ x base x height

area = ¹/₂ x 4 x 5

area = 10 sq.units

The area of the rectangle is calculated as follows;

area = 4 x 4

area = 16 sq.units

The probability that a point chosen randomly inside the rectangle is in the square is calculated as;

P = outcome / total possible outcome

P = ( 10 ) / 16

P = 0.625 ≈ 0.6

The probability that a point chosen randomly inside the rectangle is outside the square;

P = 1 - p(inside)

P = 1 - 0.6

P = 0.4

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The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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Answer:

C) 140ft

Step-by-step explanation:

1279-285=994

994÷7.1=140

140ft