Is this a proportional relationship?

Answer:

6/9

Step-by-step explanation:

It is addition may it help you

Answer:

Gold is in Box 1

Step-by-step explanation:

There are 3 boxes. One of them contains gold

In each box, there is a message, and one of them is true.

Box 1: "The gold is not in Box 2".

Box 2: "The gold is in this box"

Box 3: "The gold is not in this box".

Which box has the gold?

Answer:

O Box 1

O Box 3

O Box 2

There's not enough info

Assume each statement to be true at a time, and check for contradictions.

Box 1: "The gold is not in Box 2".

Assume True. Gold in 1 or 2.

Box 2: "The gold is in this box"

False. Gold not in 2.

Box 3: "The gold is not in this box".

False. Gold in 3

Contradiction between box1 and box 3 message.

Box 2: "The gold is in this box"

Assume true. Gold in 2.

Box 1: "The gold is not in Box 2".

False. Gold in 2.

Box 3: "The gold is not in this box".

False. Gold in 3.

Contradiction between boxes 2 and 3. Box 2 message cannot be true.

Box 3: "The gold is not in this box".

Assume true. Gold in 1 or 2.

Box 1: "The gold is not in Box 2".

False. Gold in 2.

Box 2: "The gold is in this box"

False. Gold not in 2.

No contradictions.

Gold must be in 1.

Answer: Gold is in Box 1

Answer:

4 units

5 units

6.4 units

Step-by-step explanation:

we have two catheti, one measures 4 units and one measures 5 units, with Pythagoras we find the hypotenuse

hypotenuse = √(4²+5²)

hypotenuse = √(16 + 25)

hypotenuse = √41

hypotenuse = 6.4 units

An inequality with a rational formulation is referred to as a rational inequality. Rational inequalities include those with rational expressions, such as 32x>1, 2xx34, 2x3x6x, and 142x23x.

Resolve an inequality using logic.

The inequality should be expressed as one quotient on the left and zero on the right. Find the critical points, or the points at which the rational expression becomes zero or undefined. To create intervals on the number line, use the crucial points. Test each interval with a value.

5 examples of rational equation

Solving Rational Equations

An inequality with a rational formulation is referred to as a rational inequality. Rational inequalities include those with rational expressions, such as 32x>1, 2xx34, 2x3x6x, and 142x23x.

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

\(y=2/11\)

Step-by-step explanation:

\(\lim{t \to \pm \infty} R(t)=\lim_{ t \to \pm \infty} \frac{30t+525}{165t+7000} =\frac{30}{165}=\frac{2}{11}\)

Answer:

2.3(2.99)=$6.877

Step-by-step explanation:

Multiply the pounds (2.3) by the price of apples per pound.

Hope this helps! :)

Answer:

2.3(2.99)=$6.877

Step-by-step explanation:

Hope this helps!

Answer:

1

Step-by-step explanation:

Answer:

(2/5,0)

Step-by-step explanation:

The equation to find a line is mx+b=y. In this case m is 5, and b is -2.

5x+-2=y

Since we want to find the x-intercept, y has to be 0.

So: 5x+-2=0

5x=2

x=2/5

Answer:

43.6 has 3 significant figures.

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

Step-by-step explanation:

85!/82! = 85*84*83 = 592620

n choose 0 is always equals 1

n P n also always equals 1

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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The number of batches of muffins she can make will be 5.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other features.

Clayton picks two times as many raspberries and 11/4 cups of blackberries at a berry farm. He brings the berries home and makes mixed-berry muffins with them.

The number of the batches of muffins can be calculated as:-

Number = ( 1¹/₄ + 2 x 1 ¹/₄ ) / ( 3 / 4 )

Number = [  ( 5 / 4 ) + ( 5 / 2 ) ] / ( 3 / 4 )

Number = [ ( 15 / 4 ) / ( 3 / 4 ) ]

Number = 5

Therefore, the number of batches of muffins will be 5.

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Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

1)

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)
\(\int\limits^a_a {f(x)} \, dx = 0\)

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

Answer:

tjrjrkrkrkrkurjrjrjrjrnr s jkalsmrnrnd

Answer:

$28.35

Step-by-step explanation:

The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.

Answer:

(B)-4

Step-by-step explanation:

Answer:

Points of the triangle: (-6, 3)  (-3, 9)  (-7, 8)

Step-by-step explanation:

(2, -5)   →   (-6, 3)

(8, -2)   →   (-3, 9)

(7, -6)   →   (-7, 8)

Answer:  A

Step-by-step explanation:

Addition and subtraction of matrices is very simple - just add (or subtract) the values of each matrix that have the same designation.

\(\left[\begin{array}{c}a\\b\end{array}\right] +\left[\begin{array}{c}d\\e\end{array}\right]-\left[\begin{array}{c}g\\h\end{array}\right]=\left[\begin{array}{c}a+d-g\\b+e-h\end{array}\right]\\\\\\\\\left[\begin{array}{c}8\\5\end{array}\right]+\left[\begin{array}{c}-3\\8\end{array}\right]-\left[\begin{array}{c}-2 \\1\end{array}\right]=\left[\begin{array}{c}8+(-3)-(-2)\\5+8-1\end{array}\right]=\left[\begin{array}{c}7\\12\end{array}\right]\)

Answer:

It will by 10

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Answer:

10 dollars

Step-by-step explanation:

5 + 5

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.

The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).

Second, determine the coordinates of the new quadrilateral by using the dilation formula:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]          

Where:

If we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:

A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]

A'(x, y) = (1, 9)

B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]

B'(x, y) = (1, 9) + 2 · (2, 0)

B'(x, y) = (1, 9) + (4, 0)

B'(x, y) = (5, 9)

C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]

C'(x, y) = (1, 9) + 2 · (1, - 2)

C'(x, y) = (1, 9) + (2, - 4)

C'(x, y) = (3, 5)

D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]

D'(x, y) = (1, 9) + 2 · (0, - 1)

D'(x, y) = (1, 9) + (0, - 2)

D'(x, y) = (1, 7)

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

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Answer:

1,560$

Step-by-step explanation:

200 on first 5000$

400 on second 5000$

960 on remaining 8000$

= 1560 total

Answer:

$840

Step-by-step explanation:

5,000x.04=200

5,000x.08=400

2,000x.12=240

200+400+240=840

Answer:

See Explanation

Step-by-step explanation:

1.

What happens when negative adds to negative; e.g (-a) + (-b)

First, we need to simplify the expression

\((-a) + (-b)\)

Open the brackets

\(-a - b\)

Factorize

\(-(a+b)\)

So, what happens is that: the two numbers are added together and the result is negated;

E.g.

\((-5) + (-3) = -(5 + 3) = -8\)

2.

What happens when positive is added to negative; e.g. a + (-b)

First, we need to simplify the expression

\(a + (-b)\)

Open the brackets

\(a - b\)

So, what happens is that: the negative number is subtracted from the positive number

And Yes; \(a + (-b)\) is the same as \(a - b\) (As shown above)

E.g.

\(5 + (-3) = 5 - 3 =2\)

3.

What happens when to positive minus a negative; e.g. a - (-b)

First, we need to simplify the expression

\(a - (-b)\)

Open the brackets

\(a + b\)

So, what happens is that; the two numbers are added together.

E.g.

\(5 - (-3) = 5 + 3 = 8\)

4.

What happens when negative minus a negative; e.g. (-a) - (-b)

First, we need to simplify the expression

\((-a) - (-b)\)

Open the brackets

\(-a + b\)

Reorder

\(b - a\)

So, what happens is that; the first number is subtracted from the second.

E.g.

\((-5) - (-3) = 3-5 = -2\)

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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