A) The diagram shows a circle, centre O. Work out the value of x.
b) The diagram shows a cyclic quadrilateral. Work out the value of y.

Answer:

7.5 minutes

Step-by-step explanation:

Given

See attachment for complete question

Let

\(t \to time\)

\(y \to capacity\)

From the question, we have the following points

\((t_1,y_1) = (0,7)\) --- When he first sees it

\((t_2,y_2) = (3,5)\) --- 3 minutes later

First, we calculate the rate (m)

\(m = \frac{y_2 -y_1}{t_2 -t_1}\)

\(m = \frac{5 -7}{3 -0}\)

\(m = -\frac{2}{3}\)

The discharge rate is 2/3 gallons per minute

To calculate the additional minute, we simply consider the capacity of the tank at the later time. i.e. 5 gallons

To calculate time (t), we have:

\(Rate * Time = Capacity\)

\(\frac{2}{3} * t = 5\)

Solve for t

\(t = 5 *\frac{3}{2}\)

\(t = \frac{15}{2}\)

\(t = 7.5\)

Answer:

70 days

Step-by-step explanation:

We solve using Lowest Common Denominator method

Find and list multiples of each number of days for a walk until the first common multiple is found. This is the lowest common multiple.

Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days.

Hence:

Multiples of 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90

Therefore,

LCM(7, 10) = 70

Therefore, the number of days in which they will they be in the park and meet again is 70 days

Answer: 16/3

Hope this helps !!!

Answer:

look at explanation

Step-by-step explanation:

first you need to find what -6/13 is and once you do that you fill everything in pretty much

Answer: 6

Step-by-step explanation:

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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We can conclude that if the TV volume is too loud, I will have to rest.

Based on the law of syllogism, we can draw the following conclusion from the given statements:

If the TV volume is too loud, then it will give me a headache.
If I have a headache, then I will have to rest.
Therefore, if the TV volume is too loud, then I will have to rest.

The law of syllogism allows us to link two conditional statements to form a conclusion. In this case, we can see that if the TV volume is too loud, it will give me a headache.

And if I have a headache, I will have to rest. Therefore, we can conclude that if the TV volume is too loud, I will have to rest.

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The inequality that represents the number of animals at the shelter for expenses to be at least $1170 a week is x ≥ 70.

To solve this problem, we need to start by setting up an equation that represents the total weekly expenses of the animal shelter. Let's call the number of animals in the shelter "x".

The fixed expenses are $750, and each animal costs an additional $6 per week, so the total weekly expenses can be represented by the equation:

Total Weekly Expenses = $750 + $6x

We also know that during the summer months, the total weekly expenses are at least $1170. So, we can set up an inequality to represent this:

$750 + $6x ≥ $1170

To solve for x, we can start by subtracting $750 from both sides of the inequality:

$6x ≥ $420

Then, we can divide both sides by $6 to isolate x:

x ≥ 70

This means that there must be at least 70 animals in the shelter for the total weekly expenses to be at least $1170.

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An object that is in motion as a projectile follows a path or trajectory of a parabola

The function and values are;

Reason:

a) Known parameters are;

Let f(x) = a·x² + b·x + c represent the equation of the parabola modelling the path of the ball, we have;

Points on the path of the parabola = (0, 0), (35, 1.5), 37, 0)

Plugging the values gives;

0 = a·0² + b·0 + c

Therefore, c = 0

1.5 = 35²·a + 35·b

0 = 37²·a + 37·b

Solving gives;

a = -3/140, b = 111/140

The equation of the quadratic function is therefore;

b) The maximum height is given by the vertex of the parabola

The x-coordinate at the vertex is the point \(-\dfrac{b}{2 \cdot a}\)

Which gives;

\(x-coordinate = \dfrac{\frac{111}{140} }{2 \times \dfrac{3}{140} } = 17.5\)

The maximum height is therefore;

\(f(x)_{max} = \dfrac{111}{140} \times 17.5 - \dfrac{3}{140} \cdot 17.5^2 \approx 7.334\)

The maximum height of the ball is approximately 7.334 m

c) The distance the ball has travelled to horizontally is given by half of the range, R as follows;

The range of the motion, R = 37 meters

\(Horizontal \ distance \ to \ maximum \ height = \dfrac{R}{2}\)

Therefore;

\(Horizontal \ distance \ to \ maximum \ height = \dfrac{37}{2} = 18.5\)

The distance the ball has travelled horizontally to reach the maximum height horizontally 18.5 meters

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The length of a rectangle exists 8 units more than its width. The area of the rectangle can be expressed as \($$x^4\) - 16 then the expression exists (x² + 4)(x + 2)(x - 2).

An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. One or more operands, one or more operators, and one or more pairs of parentheses create an expression.

Given

L = 8 + W

Area = \($$x^4\) - 16

An expression for the width

Area = \($$x^4\) - 16

Apply exponent rules

\($=\left(x^2\right)^2-4^2$$\)

Apply Difference of Two Squares Formula: x² - y² = (x + y)(x - y)

(x²)² - 4² = (x² + 4)(x² - 4)

Factor x²- 4 = (x + 2)(x - 2)

By simplifying the above equations, we get

= (x² + 4)(x + 2)(x - 2)

The length of a rectangle is 8 units more than its width. The area of the rectangle can be expressed as x^4-16. Which expression represents the width of the rectangle?

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Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

Given:

Solve:

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

9514 1404 393

Answer:

{2, 2, 2}, {2, 3, 3}, {2, 4, 4}, {3, 2, 3}, {3, 3, 2}, {3, 3, 4}, {3, 4, 3}, {4, 2, 4}, {4, 3, 3}, {4, 4, 2}, {5, 2, 5}, {6, 2, 6}

Step-by-step explanation:

The requirement that side lengths be greater than 0 means that ...

  y > x > 0

  y > z > 0

Then possible values for x and z are 1, 2, 3, and possible values for y are 3, 4, 5, 6, 7.

When we list the possibilities, and exclude those that do not give isosceles triangles, we find the values of {a, b, c} can be those listed above.

Answer:

That´s easy and plus if it´s not to you, you can look that stuff up

Step-by-step explanation:

Answer:

b = 72

Step-by-step explanation:

2b - 62 = b-10

Subtract b from both sides!

b -62 = 10

Add 62 to both sides

b = 72

Step-by-step explanation:

since TUVW is a rectangle, VU = WT

b - 10 = 2b - 62

b = 52

Topic: Properties of polygons

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f(x) is a fancy way to say y

The equation says y=05, so x is ungiven based on what you have given us. Please check if there was more information written as usually its written as

Example: f(x)=3x+5

Answer:

72 miles

Step-by-step explanation:

Answer:

0.75 or 3/4 miles hiked in 1/6 hours

Step-by-step explanation:

2 hours = 120 minutes

1/6 x 60 = 10 minutes

9 / 120 = 0.075 miles per minute

10 x 0.075 = 0.75

Answer:

Step-by-step explanation:

a^-4 x 8^14

the solution is C

Answer:

Step-by-step explanation:

A. $268,10 B. $14155 c. $255.54 b. $11400. fociaral and state governmenta? ... record payroll tax expense and pay to the federal and state governments :.

1 answer

·

Top answer:

Amount of state and federal unemployment tax that the employer must record payroll tax expense and pay to the federal and state governments : According ...

Missing:255.54

The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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The mean of the first set is 8.67

The mean of the second set is 8

The mean of the third set is 16.43

The mean of the fourth set is 23.13.

Compute for the sum of the given numbers in each set.

Divide the sum computed in step 1 by the total number of values in each set (count the values).

The resulting quotient is the mean of the respective set of numbers.

A. Computing for the Mean of a Sample

Given Mean 3, 4, 9, 11, 5

To find the mean of the given set, we need to compute the sum first.

3 + 4 + 9 + 11 + 5 = 32

There are five (5) values in the set, so we divide the sum by 5.32 ÷ 5 = 6.4

Thus, the mean of the first set is 6.4.7, 11, 10, 13, 5, 6

Sum = 52

Count = 6

Mean = 52 ÷ 6 = 8.67

The mean of the second set is 8.67.13, 3, 6, 8, 12, 9, 5

Sum = 56

Count = 7

Mean = 56 ÷ 7 = 8

The mean of the third set is 8.15, 11, 16, 15, 18, 20, 20

Sum = 115

Count = 7

Mean = 115 ÷ 7 = 16.43

The mean of the fourth set is 16.43.21, 23, 25, 19, 15, 26, 27, 29

Sum = 185

Count = 8

Mean = 185 ÷ 8 = 23.13

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Answer:

1st and 2nd Equation; what = 2.25, 3rd Equation; what = 4.44444

Step-by-step explanation:

40/4 / 9/4 = 40/9 = 4.44444

Answer:

23x - 8

Step-by-step explanation:

The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.

Here, we have,

given that,

the expression is:

3(7x) – 2(4 - x)

now we have to simplify this expression.

so, we have,

3(7x) – 2(4 - x)

= 21x - 8 + 2x

adding the like terms we get,

=> 23x - 8

Hence, The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.

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Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

20/39.

Step-by-step explanation:

There are a total of 13 students.

Prob(Boy is selected) = 8/13

Prob(Girl is then selected) = 5/12

So probability ( Boy selected then a girl)  = 8/13 * 5/12 = 10/39

- and the probability of Girl then a boy selected is also  10/39

So the required probability = 2 * 10/39

= 20/39.

Answer:

I am pretty sure that it is 4.

Step-by-step explanation: Got it right on edge2020

Answer:

4

Step-by-step explanation:

i took on edge

The minimum value of f(x, y) = 2x + y subject to the constraint xy = 32 is attained at (x, y) = (4, 8), and the minimum value is 16.

To find the extrema of the function f(x, y) = 2x + y subject to the constraint xy = 32 using Lagrange multipliers, we set up the following system of equations:

∇f(x, y) = λ∇g(x, y)

g(x, y) = 0

where ∇f(x, y) is the gradient of f(x, y), ∇g(x, y) is the gradient of g(x, y), λ is the Lagrange multiplier, and g(x, y) is the constraint equation.

Let's start by computing the gradients:

∇f(x, y) = (2, 1)

∇g(x, y) = (y, x)

Now, we set up the equations:

(2, 1) = λ(y, x)

xy = 32

From equation 1, we get the following two equations:

2 = λy (Equation 3)

1 = λx (Equation 4)

Dividing Equation 3 by Equation 4, we have:

2/y = λy/λx

2x = y

Substituting this back into the constraint equation xy = 32:

2x^2 = 32

x^2 = 16

x = ±4

Since x and y are positive, we take x = 4.

Substituting x = 4 into Equation 4:

1 = λ(4)

λ = 1/4

From Equation 3:

2 = λy

2 = (1/4)y

y = 8

So, the possible solution for the extrema is (x, y) = (4, 8).

To determine if this point corresponds to a minimum or maximum, we can evaluate the second partial derivatives of f(x, y) and check their signs. However, since the function f(x, y) = 2x + y is a linear function, we know that it does not have any local extrema. Therefore, the point (4, 8) is the global minimum on the curve xy = 32.

Therefore, the minimum value of f(x, y) = 2x + y subject to the constraint xy = 32 is attained at (x, y) = (4, 8), and the minimum value is 2(4) + 8 = 16.

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Answer:

n = 1

Step-by-step explanation:

-12 = -6(-8n + 6) + 8(-4 + n)

multiply our right side:

-12 = 48n - 36 -32 + 8n

combine n terms on right side:

-12 = 56n - 36 -32

combine numbers on right side:

-12 = 56n - 68

add 68 to both sides:

-12 + 68 = 56n - 68 + 68

56 = 56n

divide both sides by 56:

56/56 = 56n/56

n = 1

check:

-12 = -6(-8(1) + 6) + 8(-4 + (1))

-12 = -6(-8 + 6) + 8(-3)

-12 = -6(-2) + 8(-3)

-12 = 12 - 24

-12 = -12

Answer:

n=1

It's the answer I would tell u step by step but I can't cuase it will be kinda confusing

Step-by-step explanation:

I I think you have your answer now