A+B+C = 15AxBxC = 60A = ? B=?C = ?

The product that is represented with the algebra tiles is (2x + 2)(2x + 3)

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

The algebra tiles

Representing the red tile with digit 1

So, we have

Vertical = 2x + 1 + 1 = 2x + 2

Horizontal = 2x + 1 + 1 + 1 = 2x + 3

The product that is represented with the algebra tiles is then calculated as

Product = Vertical * Horizontal

So, we have

Product = (2x + 2)(2x + 3)

Hence, the product is (2x + 2)(2x + 3)

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Answer:yes it is all correct

Step-by-step explanation:

In the figure,

We have for two parallel lines cut by a transversal, we have,

Therefore, we can write, since

Answer:

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

b 28 and 62

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Answer:

Shortage

Step-by-step explanation:

If the market price of a product is set below the equilibrium price, it will create a shortage of the product because the demand exceeds the supply.

Answer:

9.9

Step-by-step explanation:

7^2+7^2= c^2

c= 9.9

Answer:

the correct answer is 10.9

Step-by-step explanation:

I got this answer right.

Answer:

16 yellow marbles in total, because you subtract 2 from the 18 because then you just get the yellow marbles.

The input is 8, the output of the function f(x) would be -5.

What is the function?

Function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences. The modern definition of function was first given in 1837 by the German mathematician Peter Dirichlet

To find the output of the function f(x) when x is 8, we substitute x = 8 into the function and simplify:

f(x) = 8/x - 6

f(8) = 8/8 - 6

f(8) = 1 - 6

f(8) = -5

Hence, if the input is 8, the output of the function f(x) would be -5.

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

0.75p=c

Step-by-step explanation:

Answer:

This is true

Step-by-step explanation:

Because a distribution of sample means is as the set of means from all the possible random samples of a specific size, selected from a specific given population.

Step-by-step explanation:

22x + 2y = -14

2y = -22x - 14

y = -11x - 7

Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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Answer:

Step-by-step explanation:

The angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.

  180° -x° = (60° +80°)/2

  180 -70 = x . . . . . . . . . . . divide by °, add x-70

  x = 110

__

The external angle where secants meet is half the difference of the intercepted arcs.

  59° = (180° -y°)/2

  118 = 180 -y . . . . . . . multiply by 2, divide by °

  y = 180 -118 . . . . . add y-118

  y = 62

Answer:

22 x 20 is 440 ,

8x16 is 128 ,

440 - 128 is 312

Step-by-step explanation:

I THINK

Answer:

5 > \(\sqrt{18\)

Step-by-step explanation:

The square root of 18 is approximately 4.24.

5 is greater than 4.24, so we can use the inequality sign >.

Answer:

3:25pm

Step-by-step explanation:

2:00PM + (40min + 45min) = 85min

hour= 60min

85 - 60 = 25 , its means the amount of the time is 1hour and 25min

1hr25min + 2hr = they finished at 3:25pm

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

\(D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}\)

The odd multiples of 9, \(m\), in the range \(2\le m \le 82\) form the set

\(\{9,27,45,63,81\}\)

Each member of the set is a term of the arithmetic progression

\(U_n=18n+9\)

where the values of \(n\) range from 0 to 4, or \(0\le n\le 4\)

Putting these facts together, we get the result

\(D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}\)

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Answer:

(16x/2^x+1) + (4/2^x+1

Step-by-step explanation:

the parentheses are there so you know the two arent beside each other

Answer:

48

Step-by-step explanation:

Calculate: 6 x 2 x 4

Calculate: 12 x 4

Answer: 48

The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

30 pages per hour

Step-by-step explanation:

I assume the equation is

\(x \, dy - (y^2 - 4y) \, dx = 0\)

since separating variables leads to

\(x\,dy = y(y-4) \, dx\)

\(\dfrac{dy}{y(y-4)} = \dfrac{dx}x\)

for which the condition that \(x>0\) is actually relevant, as opposed to the simpler differential equation

\(x \, dx - (y^2-4y)\, dy = 0 \implies y(y-4) \, dy = x \, dx\)

(though it's a bit more work to solve for \(y(x)\) in this case)

That the slope \(\frac{dy}{dx}\) is non-zero tells us that

\(\dfrac{dy}{dx} = \dfrac{y(y-4)}x \neq 0 \implies y\neq0 \text{ and } y \neq 4\)

Integrate both sides.

\(\displaystyle \int \frac{dy}{y(y-4)} = \int \frac{dx}x\)

On the left, expand into partial fractions.

\(\displaystyle \frac14 \int \left(\frac1{y-4} - \frac1y\right) \, dy = \int \frac{dx}x\)

\(\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x| + C\)

With the given initial value, we find

\(y(1) = 2 \implies \dfrac14 (\ln|2-4| - \ln|2|) = \ln|1| + C \implies C = 0\)

so the particular solution is

\(\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x|\)

By definition of absolute value, with the initial condition of \(0 < y=2 < 4\) and the condition \(x>0\), we can remove the absolute values.

\(\dfrac14 (\ln(4-y) - \ln(y)) = \ln(x)\)

Solve for \(y\).

\(\ln\left(\dfrac{4-y}y\right) = 4 \ln(x) = \ln\left(x^4\right)\)

\(\dfrac{4-y}y = \dfrac4y - 1 = x^4\)

\(\implies y(x) = \dfrac4{1 + x^4}\)

Then

\(10y\left(\sqrt2\right) = \dfrac{40}{1 + \left(\sqrt2\right)^4} = \boxed{8}\)

On the off-chance you meant the other equation I suggested, we find

\(\displaystyle \int y(y-4) \, dy = \int x \, dx\)

\(\displaystyle \frac{y^3}3 - 2y^2 = \frac{x^2}2 + C\)

\(y(1) = 2 \implies \dfrac83 - 2\cdot4 = \dfrac12 + C \implies C = -\dfrac{35}6\)

Solving for \(y(x)\) involves picking the right branch of the cube root that agrees with \(y(1)=2\). With the cube root formula, we find

\(y(x) = 2 - \xi(1 - i\sqrt3) - \dfrac1\xi (1+i\sqrt3)\)

where

\(\xi = \dfrac{2\sqrt[3]{4}}{\sqrt[3]{3x^2 - 3 + \sqrt{9x^4 - 18x^2 - 1015}}}\)

With a calculator, we find

\(10y\left(\sqrt2\right) \approx 18.748\)

The probability of getting an offspring pea that is green is 0.967 and the value is not close to 3/4.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

In a genetics experiment on peas, one sample of offspring contained 383 green peas and 13 yellow peas.

The probability of getting an offspring pea that is green = 383/(383+13)

= 383/396

= 0.967

= 0.75

Thus, the probability of getting an offspring pea that is green is 0.967 and the value is not close to 3/4.

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The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)