One owl hoots every 3 hours, and a second owl hoots every 8 hours, and a third owl hoots every 12 hours. If they all hoot together at midnight of the first day, how many times on the hour in 3 days will at least two owls not give a hoot.

The value of the expression l/2 when l=50 is 25.

Given information:

The expression l/2 means "half of l".

The expression is l/2 where l is variable.

In this case, the value of l is given as 50. So to calculate the expression, you just need to substitute 50 for l in the expression and simplify:

If l = 50, then

l/2 = 50/2 = 25

Therefore, the value of the expression l/2 when l=50 is 25.

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The value of X, given the matrices, can be found to be X = [ [ 4 ], [-1.5 ] ].

We are told that the value of X can be found to be :
2X + A = B

Solving this would give:
X = (B - A) / 2

We can then apply this to the matrices to give:
B - A = [ [ 11 - 3 ], [1 - 4 ] ]

B - A =  [[ 8 ],  [ -3 ] ]

X = [ [ 8 / 2 ], [ -3/2 ] ]

X = [ [ 4 ], [-1.5 ] ]

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The linear equations of the lines are y = 1/3x and y = 4x + 17, respectively

The parallel line

The equation is given a

x - 3y = 9

So, we have

3y = x - 9

y = x/3 - 3

Slope = 1/3

The slopes of parallel lines are equal

So, the slope of the required line is 1/3

The equation is then calculated as

y = mx + c

So, we have

y = 1/3x + c

Using the points, we have

2 = 1/3 * 6 + c

c = 0

So, we have

y = 1/3x

The perpendicular line

The equation is given a

y + 1/4x - 5 = 0

So, we have

y = -1/4x + 5

Slope = -1/4

The slopes of parallel lines are opposite reciprocals

So, the slope of the required line is 4

The equation is then calculated as

y = mx + c

So, we have

y = 4x + c

Using the points, we have

5 = 4(-3) + c

c = 17

So, we have

y = 4x + 17

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Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

Answer:

n = -6

Step-by-step explanation:

We can allow n to represent the unknown number.

Now, we can set the two expressions equal to each other to find the number, n:

[tex]2n-1=4n+11\\2n=4n+12\\-2n=12\\n=-6[/tex]

Finally, we can check if the number fits the equation and the verbal expression by plugging in -6 for n:

Algebraically:

2(-6) - 1 = 4(-6) + 11

-12 - 1 = -24 + 11

-13 = -13

Verbally:

Two times the number -6 is -12 and 1 less than - 12 is -13

Four times the number -6 is -24 and 11 more than this is -13

Answer: x= -6

Step-by-step explanation:

Each word in a word problem translates to a mathematical symbol

> 1 less than =>  - 1

> two times a number => 2x

put that together 1 less than two times a number means:

2x-1

> is => =

> 11 more  => 11+

> four times the number  => 4x

put it all together

2x-1=11+4x     bring all like terms to each side

-2x = 12         solve for x

x= -6

Using an equation, the number of children, parents, and grandparents in attendance were:

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

Mathematical expressions combine variables, numbers, values, and constants using mathematical operands.

The total number of people in attendance at the family reunion = 400

Let the number of grandparents = x

Let the number of parents = 2x

Let the number of children = 2x + 50

x + 2x + 2x + 50 = 400

5x = 350

x = 70

Grandparents = 70

Parents = 140 (2 x 70)

Children = 190 (2 x 70 + 50)

Total = 400 (70 + 140 + 190)

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Lee's TV costs $4.05 to operate for a month of 30 days.

To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.

First, let's find out how many watts Lee's TV consumes in a day:

250 watts/hour x 3 hours/day = 750 watts/day

To convert this to kilowatts, we divide by 1000:

750 watts/day ÷ 1000 = 0.75 kilowatts/day

Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:

0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours

Finally, we can calculate the cost of operating the TV for a month:

22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05

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The total change in All - Plus stock, given the change in one day and the dip the next day, would be - $ 3.125.

In the one day shown on the table, the price of All - Plus stock dropped by $ 2.50 dollars. The very next day, the price of the stock still dropped but this time by 1 / 4 of the fall in the first day so the fall was ;

= 1 / 4 x 2. 50

= $ 0. 625

This means that the total change in price can be found to be :

= Change in price first day + change next day

= 0. 625 + 2. 5

= $ 3. 125

This means prices of All - Plus stock changed by - $ 3.125.

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The expression to represent the given situation is M =30t.

Let's use the variable M to represent Susan's overall piano practice time over the course of t days.

Given that Susan practices the piano for 30 minutes every day, the sum of her practice time over the course of t days is:

M = 30t

As a result, M = 30t is the equation that describes the total amount of time Susan spends practicing the piano over the course of t days.

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The value of c as per the law of cosines, to the nearest tenth, is 5.1 units.

Given information:

a = 8, b = 9 C = 34°.

To find the value of C:

According to the Law of Cosines, for any triangle ABC:

c² = a² + b² - 2ab cos(C)

Substituting the given values:

c² = 8² + 9² - 2(8)(9) cos(34°)

c² = 64 + 81 - 144 cos(34°)

c² = 145 - 144 cos(34°)

Taking the square root of both sides:

c = √(145 - 144 cos(34°))

Using a calculator:

c ≈ 5.1 units (rounded to the nearest tenth)

Therefore, the value of c is approximately 5.1 units.

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The total at 0 id 100 hours and rate if increasing is 50 per hour.

From the given graph;

Let x represents the total hours

And y represents total pay

Then,

(a) When x = 0

Then from graph we have y = 100

So total pay is 100 dollars.

(b) When x = 1 then y = 150

Therefore,

Rate of increasing = (150-100)/(1-0) = 50

So it is increasing 50 per hour.

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The number of chickens and pigs the farmer saw on the field are 37 and 16 respectively.

Let

Number of chickens = x

Number of pigs = y

x + y = 53

2x + 4y = 138

From (1)

x = 53 - y

Substitute x = 53 - y into (2)

2x + 4y = 138

2(53 - y) + 4y = 138

106 - 2y + 4y = 138

- 2y + 4y = 138 - 106

2y = 32

divide both sides by 2

y = 32/2

y = 16

Substitute y = 16 into

x + y = 53

x + 16 = 53

x = 53 - 16

x = 37

Therefore, there are 37 chickens and 16 pigs respectively.

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Answer:

you got them all right except graph 4 is a function! The trick is to use the vertical line test. Put your pencil vertically on your paper and move it across the graph. If your pencil passes through the same point twice, it's not a function. :)

Step-by-step explanation:

The graph of the linear and quadratic equation is attached below

A linear and quadratic system can be represented by a line and a parabola in the xy-plane. Each intersection of the line and the parabola represents a solution to the system.

A line and a parabola can intersect zero, one, or two times, which means a linear and quadratic system can have zero, one, or two solutions.

If a graph of the system is not provided, then the ability to quickly draw graphs based on equations is essential.

However, in this problem, we have the equation given and we can easily draw the graph using a graphing calculator.

The solution to the problem is attached below;

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Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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The solution is the number in polar form 4 - 4i is

4 Root(2) (cos(-45) + i sin(-45)).

We know that,

Polar form of a complex number is r( cos(theta) + i sin(theta) )

r is equal to the total distance created by the rectangular coordinates of the complex number

r = Root(4^2 + (-4)^2) = Root(32) = 4 Root(2)

To find theta, if a > 0, use arctan(b/a), where:

a = the first number

b = the second number

arctan (-4/4) = -45 degrees (-0.7854 radians)

The answer is 4 Root(2) (cos(-45) + i sin(-45))

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complete question;

Express the number in polar form 4 - 4i

Answer:

the answer is 80

Step-by-step explanation:

1pound=16ounces

Answer: there were 190 children, 140 parents, and 70 grandparents in attendance at the family reunion.

Step-by-step explanation: Let's denote the number of children, parents, and grandparents as "c", "p", and "g", respectively.

We are given three pieces of information:

The total number of people in attendance is 400:

c + p + g = 400

There were twice as many parents as grandparents:

p = 2g

There were 50 more children than parents:

c = p + 50

We can use this system of equations to solve for the unknown variables.

First, we can use equation (2) to express "p" in terms of "g":

p = 2g

Next, we can substitute this expression for "p" into equation (3) to get:

c = 2g + 50

Now, we can use equations (1) and (4) to eliminate "p" and "c" from the system and express "g" in terms of only known quantities:

c + p + g = 400

2g + 50 + p + g = 400 (substituting c=2g+50)

3g + p = 350 (simplifying)

We can then substitute the expression for "p" from equation (2) into this last equation to obtain:

3g + 2g = 350

Simplifying:

5g = 350

Solving for "g", we get:

g = 70

Now, we can use equation (2) to find "p":

p = 2g = 2(70) = 140

Finally, we can use equation (3) to find "c":

c = 2g + 50 = 2(70) + 50 = 190

Therefore, there were 190 children, 140 parents, and 70 grandparents in attendance at the family reunion.

The solution of the equation 39=2x+1 is 19

The given equation is 39=2x+1

We have to find the solution of the equation

2x+1=39

Let us find the value of x

Subtract 1 from both sides

2x=38

Divide both sides by 2

x=19

Hence, the solution of the equation 39=2x+1 is 19

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The surface area of the cylindrical pottery is S = 163 inches²

Given data ,

Let the surface area of the cylindrical pottery be S

Now , the radius of the pottery r = d/2

r = 4.3 / 2

r = 2.15 inches

And , the height of the cylindrical vase = 11 inches

where S = B + Ph

On simplifying , we get

S = πr² + 2πr ( h )

S = ( 3.14 ) ( 2.15 )² + 2 ( 3.14 ) ( 2.15 ) ( 11 )

S = 14.51465 + 2 ( 74.261 )

S = 163.03665 inches²

Hence , the surface area is S = 163 inches²

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Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.

We know that,

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To find out how many projects Mrs. Kenny can complete with 7/8 pound of clay, we need to divide 7/8 by 1/6:

= (7/8) ÷ (1/6)

To divide fractions, we need to invert the second fraction and multiply:

= (7/8) × (6/1)

Simplifying the fractions, we get:

(7 × 6)/(8 × 1) = 42/8 = 5 1/4

Thus, Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.

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Answer:

( x - 3 ) 3 .

Step-by-step explanation:

Since f−1(f(x))=x f - 1 ( f ( x ) ) = x and f(f−1(x))=x f ( f - 1 ( x ) ) = x , then f−1(x)=3√x+3 f - 1 ( x ) = x 3 + 3 is the inverse of f(x)=(x−3)3 f ( x ) = ( x - 3 ) 3 .

Answer: 226.795 paperclips

Step-by-step explanation:

    First, we need to know how many grams are in a pound.

[tex]\boxed{\text{1 pound = 453.59 grams}}[/tex]

    Next, we will divide 453.59 grams by the 2 grams per paper clip to see how many paper clips would balance the scale with one pound.

     453.59 / 2 = 226.795 paperclips

By using the graph of y = f(x), the graph of the function g(x) = f(x + 3) include the following: D. graph D.

In Mathematics and Geometry, the translation of a graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

In order to write an equation that models the graph of g(x), we would have to apply a horizontal translation to f(x) by 3 units left:

y = f(x)

g(x) = f(x + 3)

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If 75% of Brannan's class attended her twelfth birthday party, we can find the number of students who came to the party by multiplying the total number of students in the class by the percentage that attended.

First, we need to convert 75% to a decimal by dividing by 100:

75% = 75/100 = 0.75

Next, we can multiply the total number of students in the class by the decimal that represents the percentage who attended:

Number of students who came to the party = 0.75 * 24

Number of students who came to the party = 18

Therefore, 18 students came to Brannan's twelfth birthday party.

Johnson's pizza had a 120-degree angle when he ate it. The solution is choice C.

When a pizza is cut into 12 equal pieces, each piece has a central angle of:

360 degrees / 12 pieces = 30 degrees/piece

If Johnson ate 4 adjacent pieces, then he ate a total central angle of:

4 pieces * 30 degrees/piece = 120 degrees

Therefore, the measure of the angle of the pizza that Johnson ate is 120 degrees. The answer is option C).

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0,0,0,0,0,

The calculated measure of m∠DEF is 45 degrees

From the question, we have the following parameters that can be used in our computation:

The image of the protractor

The reading from the protactor is

Angle = 0 degrees + 45 degrees

Evaluate the sum

So, we have

Angle = 45 degrees

This reading represents the angle DEF

Hence, the measure of m∠DEF is 45 degrees

The required difference cannot be calculaed from the given parameter

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