Jorge has a box with different colors of tubes of paint. In the box, there are 7 tubes of blue paint, 4 tubes of red paint, 3 tubes of yellow paint and 6 tubes of green paint. Jorge selects a tube of paint at random. Which is more likely: selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint?

Answer:

15

Step-by-step explanation:

a = 3d

Let d=5

a = 3*5

a = 15

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

The number of turns of graph for \(f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8\) are 4

Step-by-step explanation:

We need to find the number of turns the graph of \(f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8\) have?

Turns of graph:

The graphs turns when it changes from increasing to decreasing (rise to fall) or decreasing from increasing (fall to rise)

Turns of graph for a polynomial

A polynomial having degree n will have maximum n-1 turns.

So, for the given polynomial

\(f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8\)

We need to find degree

The highest exponent of the polynomial is the degree of polynomial

So, Degree n = 5

Number of turns = n - 1 = 5-1 =4

So, the number of turns of graph for \(f(x) = 3x^5 -2x^4 + 7x^2 -9x + 8\) are 4

Answer: \(x=\Large\boxed{-8} \small\text{ instead of 8}\)

Step-by-step explanation:

Given equation

\(28+12x=8x-4\)

Subtract 8x on both sides

\(28+12x-8x=8x-4-8x\)

\(28+4x=-4\)

Subtract 28 on both sides

\(28+4x-28=-4-28\)

\(4x=-32\)

Divide 4 on both sides

\(4x\div4=-32\div4\)

\(x=\Large\boxed{-8}\)

Hope this helps!! :)

Please let me know if you have any question

The solution for r is given by \(r=\frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).

To solve the equation

\(x=(\frac{2}{3} )\pi r^3\) for r,

we need to isolate the variable r.

Let's follow the steps:

Multiply both sides of the equation by \((\frac{3}{2} )\) to cancel out the coefficient \((\frac{2}{3} )\) on the right side:

\((\frac{3}{2} )x=\pi r^3\).

Divide both sides of the equation by π to get rid of it on the right side:

\(\frac{\frac{3}{2} x}{\pi } = r^3\).

Take the cube root of both sides to eliminate the exponent:

\(\sqrt[3]{\frac{3}{2} x} = r\).

Therefore, the solution for r is given by \(r = \frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).

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An airline has a requirement that the total outside dimensions (length, width, and height) of a checked bag not exceed 73 inches. You want to check a bag with a height equal to its width. To find the largest volume bag of this shape that you can check, we will use the constraint provided and optimize the volume.

Let L, W, and H represent the length, width, and height of the bag, respectively. According to the constraint, L + W + H ≤ 73 inches. Since H = W, we can rewrite the constraint as L + 2W ≤ 73.

The volume (V) of the bag can be represented as V = L × W × H. Substituting H = W, we get V = L × W². To maximize the volume, we need to rewrite this equation in terms of one variable. Using the constraint, we can express L as L = 73 - 2W. Now, substitute this into the volume equation: V = (73 - 2W) × W².

To find the maximum volume, we can use calculus or simply observe that the function V(W) is a downward-opening parabolic function. The maximum volume occurs at the vertex, which is found at the W-coordinate W = -b/2a in the general quadratic equation f(x) = ax^2 + bx + c. In our case, a = -2, b = 73, so W = 73/(2×-2) = 18.25 inches.

an airline requires that the total outside dimensions (length width height) of a checked bag not exceed 73 inches. suppose you want to check a bag whose height equals its width, Now that we have W, we can find H (which is equal to W) and L. H = 18.25 inches, and L = 73 - 2(18.25) = 36.5 inches. Thus, the largest volume bag you can check is V = 36.5 × 18.25² ≈ 12,104.16 cubic inches (rounded to two decimal places).

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Step 1: Problem

Graph 12x - 3y = -6

Step 2: Concept and Method

When x = 0

12(0) - 3y = -6

-3y = -6

y = -6/-2

y = 2

when y = 0

12x - 3(0) = -6

12x = -6

x = -6/12

x = -0.5

Answer:

Left-most x-intercept: (-5,0)

Right-most x-intercept: (3,0)

Step-by-step explanation:

On edge :)

Answer:

yes,

Step-by-step explanation:

no resoning

Answer: Not exactly.

There are 7 ounces of applesauce in each container

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Let x represent the quantity of Newton applesauce

Descartes makes 72.5 ounces of applesauce, which is 2.5 times of Newtons, hence:

2.5x = 72.5

x = 29 ounce

Newton eats 8 ounces, hence:

Remaining = 29 - 8 = 21 ounces

The remaining is placed into 3 containers. If y represent the amount per container:

3y = 21

y = 7 ounces

There are 7 ounces in each container

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Answer:

x = 5 , y = -1

Step-by-step explanation:

x + 2y = 3........(equation 1)

x - y = 6..........(equation 2)

make x the subject of the formula in (equation 1)

x = 3 - 2y

substitute for x in (equation 2)

3x - y = 6

(3- 2y) - y = 6

3 - 2y - y = 6

3 - 3y = 6

-3y = 6 - 3

\( \frac{ - 3y}{ - 3} = \frac{3}{ - 3} \)

\(y = - 1\)

substitute for y in (equation 1)

x = 3 - 2y

\( \times = 3 - 2( - 1)\)

x = 5

Answer:

Uhhh I'll try my best.

The answer to your question is

I’ll do x.

x+2y-2y = 3-2y

(Simplify) x = 3-2y

x-y+y = 6+y

(Simplify) x = 6+y

(Set them equal to each other)

3-2y = 6+y

3-2y-6 = 6+y+2y

-3 = 3y

y = -1

x =

Step-by-step explanation: Hope this helps.

The average daily float for the BBC Corporation, based on receiving 30 checks totaling $250,000 with an average delay of five days, is $41,667.

To calculate the average daily float, we need to determine the total amount of funds in transit and divide it by the average number of days the funds are delayed.

In this case, the BBC Corporation receives 30 checks totaling $250,000 in a typical month. The average delay for these checks is five days.

To calculate the total amount of funds in transit, we multiply the average daily amount by the average delay:

Total funds in transit = Average daily amount × Average delay

= ($250,000 / 30 days) × 5 days

= $8,333.33 × 5

= $41,666.67

Rounding to the nearest whole number, the average daily float is $41,667.

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The number of solutions of each quadratic equation is given as follows:

A quadratic equation is modeled by the general equation presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given by the equation as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:

Hence the discriminant of each function is given as follows:

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The unit vector that has the same direction as the given vector is\(& (3 / \sqrt{ } 58) \mathrm{i}-(7 / \sqrt{58}) \mathrm{j}\).

The given vector(v) is -3i+7j

The unit vector is found by dividing the vector by its magnitude

Unit vector of  \($v=\frac{v}{\|v\|}$\)

The formula of unit vector in the direction of a given vector is:

We have to find the magnitude first

So,

\(& \|v\|\) =\(\sqrt{(3)^{2}+(-7)^{2} } =\sqrt{9+49} =\sqrt{58}\)

\(& \|v\|=\sqrt{58}\)

The unit vector is:

The i, j, and k are the unit vectors in the directions of the x-axis, y-axis, and z-axis respectively in a 3-dimensional plane. i.e.,

\($$\begin{aligned}& =(1 / \sqrt{58})(3 \mathrm{i}-7 \mathrm{j}) \\& =(3 / \sqrt{ } 58) \mathrm{i}-(7 / \sqrt{58}) \mathrm{j}\end{aligned}$$\)

Therefore, the unit vector is \(& =(3 / \sqrt{ } 58) \mathrm{i}-(7 / \sqrt{58}) \mathrm{j}\).

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To determine the probability of an event where both dice are odd, let's first list all the possible odd numbers on a die: {1, 3, 5}.

Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur.

Now, let's find all the combinations of two dice showing odd numbers:

1. (1, 1) 2. (1, 3) 3. (1, 5) 4. (3, 1) 5. (3, 3) 6. (3, 5) 7. (5, 1) 8. (5, 3) 9. (5, 5)

There are a total of 9 combinations where both dice show odd numbers.

So, the size of the set that corresponds to the event that both dice are odd is 9.

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The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Answer:

boop

Step-by-step explanation:

Answer:

15-378099

Step-by-step explanation:

wjjcbm car red saw sell cell problem see one the window

Answer:

B. y=3/2x+8

Step-by-step explanation:

To find the perpendicular line, you find the reciprocal or the slope, so the reciprocal of this slope is 3/2. B is the only answer with the correct slope

Answer:

B

Step-by-step explanation:

Easiest way to tell is by flipping the slope and changing the sign, so it goes from -2/3 to 3/2. The only answer with that slope is B

9514 1404 393

Answer:

  240 oz

Step-by-step explanation:

  (15 lb) × (16 oz/lb) = (15×16) oz = 240 oz

There are 240 ounces in 15 pounds.

Answer:

m = 3/2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find 2 coordinates

(50, 20)

(70, 50)

Step 2: Find slope m by plugging into formula

m = (50 - 20)/(70 - 50)

m = 30/20

m = 3/2

Answer:

3/2

Step-by-step explanation:

To find the slope, pick two points on the line, and use the slope formula

( 50,20) and  (90,80)

m = ( y2-y1)/(x2-x1)

    = (80-20)/(90-50)

    =60/40

   = 3/2

Answer:

x = \(\frac{2}{3}\)

Step-by-step explanation:

x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides

x - 5x + 5 = x - 2x + 3

- 4x + 5 = - x + 3 ( add x to both sides )

- 3x + 5 = 3 ( subtract 5 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

x = \(\frac{2}{3}\)

People who supported the home team= 549

People who supported the attending team= 351

Total no. of audience= 549+ 351

= 900

Percentage of home team=

(549/900× 100)

= 61%

Answer:

96 cm^2

Step-by-step explanation:

15 x 10 = 150

9 x 6 = 54

150 - 54 = 96

To prove that quadrilateral KLMN is congruent to PQRS, the equation 4 - 1d - b = -2 - (-5) must be true.

The given equation 4 - 1d - b = -2 - (-5) is derived from the coordinates of points P(-5, 1), Q(-2, 4), R(-1, 0), and S(-4, -3) in quadrilateral PQRS. By comparing the corresponding coordinates of the vertices in quadrilaterals PQRS and KLMN, we can establish a relationship between the variables a, b, c, and d. In this case, the equation represents the equality of the y-coordinates of the corresponding vertices in the two quadrilaterals.

By substituting the given values, we can observe that the equation simplifies to 4 - d - b = 3. Solving this equation, we find that d - b = 1, which means the difference between the y-coordinates of the corresponding vertices in KLMN and PQRS is 1.

Thus, in order to prove that quadrilateral KLMN is congruent to PQRS, the equation 4 - 1d - b = -2 - (-5) must be true.

In geometry, congruent quadrilaterals have the same shape and size, which means their corresponding sides and angles are equal. To prove that two quadrilaterals are congruent, we need to establish a correspondence between their vertices and show that the corresponding sides and angles are equal.

In this case, we are given the coordinates of the vertices of quadrilateral PQRS and want to prove that quadrilateral KLMN is congruent to PQRS. The equation 4 - 1d - b = -2 - (-5) is obtained by comparing the corresponding y-coordinates of the vertices. By substituting the given values and simplifying, we find that d - b = 1, indicating that the difference between the y-coordinates of the corresponding vertices in KLMN and PQRS is 1. This equation must be true for the quadrilaterals to be congruent.

By proving the equality of corresponding sides and angles, we can establish the congruence of KLMN and PQRS. However, the given equation alone is not sufficient to prove congruence entirely, as it only addresses the y-coordinate difference. Additional information about the side lengths and angle measures would be required for a complete congruence proof.

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The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer

(-4,3)

Step-by-step explanation: