Solve:3(4-2x) = -x+1O A. x=-1B. x=135O C. x = 11O D. *= 11x5

The rational number that lies exactly halfway between a/b and c/d on a number line is a/2b + c/2d

The rational numbers are given as:

a/b and c/d

The rational number that lies exactly halfway between a/b and c/d on a number line is calculated using

Number = (x + y)/2

Where

x = a/b

y = c/d

So, we have:

Number = (a/b + c/d)/2

Evaluate the quotient

Number = a/2b + c/2d

Hence, the rational number that lies exactly halfway between a/b and c/d on a number line is a/2b + c/2d

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The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

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

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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Answer:

d

Step-by-step explanation:

Since the cost of the ball is $9.29

The discount is 11.25%

Means the new price will be 100% - 11.25% of the cost

Then the new cost = 88.75% * 9.29

The new cost = 8.244875

This cost will increased by the tax

Since the tax is 6.25%

Then 100% + 6.25% = 106.25%

So the final price = 106.25% * 8.244875

The final price = 8.78 079

The final price = 8.78

Answer: 32,500

Step-by-step explanation: i don't know

Answer:

32500

Step-by-step explanation:

Without using a calculator

625*52 = (625*4) * (52/4) = 2500 * 13 = 32500

Polynomial: 6x^3 + 12x^2 - 18x

Form 1: 6(x^3 + 2x^2 - 3x)

Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.

Form 2: 6x(x^2 + 2x - 3)

Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.

In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.

To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:

Polynomial: 6x^3 + 12x^2 - 18x

To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.

Form 1: 6(x^3 + 2x^2 - 3x)

In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.

Form 2: 6x(x^2 + 2x - 3)

In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.

We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.

In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.

In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.

By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.

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Answer:

3.4

Step-by-step explanation:

Answer:3.4

Step-by-step explanation:

Clicked see solution

Answer:

8(4 - n)

Step-by-step explanation:

Which expression correctly represents “eight times the difference of four and a number”? 8 (n minus 4) 8 (4 minus n) 8 (n) minus 4 8 (4) minus n

Do it one piece at a time.

“eight times the difference of four and a number”:     n

“eight times the difference of four and a number”:     4 - n

“eight times the difference of four and a number”:     8(4 - n)

Answer:

the answer is b

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:

5

Step-by-step explanation:

This is the Pythagorean theorem:
\(a^{2} +b^{2} =c^{2}\)
The hypotenuse is c so we need to make c the subject:
\(c = \sqrt{a^{2}+b^{2} }\)
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
\(c = \sqrt{3^{2} + 4^{2} }\)
\(c = \sqrt{9+16}\)
\(c = \sqrt{25}\)
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

if x = 69, then x^2+x = 4830

Answer:

DCE is 54°

Step-by-step explanation:

To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:

for angle EDC: 180 - (9x - 31)

for angle CED: 180 - (4x + 33)

for angle DCE: 180 - (7x - 2)

we know that all angles in a triangle add up to 180°. So, our equation is:

180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.

simplify:

180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180

540 - 20x = 180

540 - 180 = 20x

360=20x

x= 18

for angle EDC: 180 - (9•18 - 31)=49°

for angle CED: 180 - (4•18 + 33)=75°

for angle DCE: 180 - (7•18 - 2)=54°

The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

what is piecewise function?

A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.

We have to evaluate the piecewise function for x = -1 and x = 9.

Let, function has value for x = -1 in the domain x ≤ 5 which is 11.

And function has value for x = 9  in the domain 6 < x which is 1.

⇒  f(-1) = 11 and f(9) = 1

Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.

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Answer:

416

Step-by-step explanation:

Kahn Academy

Since the distance varies directly as the square of time, then its expression looks like this:

Where d is the distance, "k" is the proportionality constant and t is the time the object is falling. We know that after 6 seconds the stone travels 304 feet. With this information we can determine the value of "k".

Therefore the complete expression is:

We want to know the distance after 7 seconds, therefore t = 7.

The stone will travell approximatelly 314 feet in 7 seconds.

To turn the specified limit, which is a Riemann sum, within the known interval, [2, 6], and variable, \(x_i\), to a definite integral, the value, Δx is dx as n approaches infinity, to get;

\(\displaystyle \lim\limits_{n\to \infty}\sum\limits^n_{i=1}x_i\cdot \ln \left(1+x_i^2 \right) \Delta x, [2, \,6] = \int\limits^6_2 {x\cdot \ln \left(1+x_i^2 \right)} \, dx\)

A Riemann sum is an approximation of an integral, which is the area of a region, by making use of the sum of simplified slices that make up the region.

A definite integral is a calculation used to find the area under a graph of a function by making use of very small or infinitesimal stripes of the region under the graph of the function.

The expression in the question is a Riemann sum

\(\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot ln \left(1 + x_i^2 \right) \Delta x, [2, 6]\)

The Riemann sum can be converted into a definite integral, using the equation, \(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n f(x_i)\Delta x = \int\limits^b_a {f(x)} \, dx }\)as follows;

The value of Δx is the value which values in the parenthesis are multiplying on the left, therefore; Δx is replaced with dx, as n → ∞

The limits of the Riemann sum in the question = [2, 6]

\(f(x_i) = x_i \cdot \ln\left(1 + x_i^2 \right)\), therefore, \(f(x) = x \cdot \ln\left(1 + x^2 \right)\)

Plugging in the the above values into the expression for the Riemann sum, we get the following definite integral;

\(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot \ln \left(1 + x_i^2 \right) \Delta x, [2, 6] = \int\limits^6_2 {x\cdot \ln\left(1 + x^2\right)} \, dx\)

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The smallest multiple that both numbers share is known as the lowest common multiple (LCM) of two numbers. The steps listed below can be used to determine the LCM of 124 and 200:

To find the lowest common multiple

To obtain: prime-factor both values

124 = 2^2 * 31

200 = 2^3 * 5^2

Find the prime factorizations' greatest powers for each prime factor:

The highest power for 2 is 23.

The highest power for 31 is 311.

The highest power for 5 is 52.

To determine the LCM, multiply these highest powers collectively.

LCM = 2^3 * 31^1 * 5^2 = 8 * 31 * 25 = 6200

Consequently, 6200 is the lowest common multiple of 124 and 200.

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Strategic planning is an essential process for any organization that wants to succeed and achieve long-term success. It involves identifying long-term organizational goals, strategies, and resources that will help the organization reach its objectives.

This process requires a comprehensive assessment of the organization's current and future needs, including its strengths and weaknesses, opportunities and threats, and the external environment. Once identified, the organization must develop and implement a plan to achieve its goals and objectives. This involves setting objectives, developing and implementing strategies and tactics, and allocating resources in a way that will maximize the organization's chances of success.

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Answer:

I think it she can make 10 7/8 batches

Step-by-step explanation:

7 1/4 ÷ 2/3 = 10 7/8

Please tell me if im wrong sorry if i am

Answer:

m <1 = 64

m<2= 26

Step-by-step explanation:

the angle is 90 degree

therefore, <1 + <2 = 90

(x+51) + (2x) = 90

3x +51 = 90

3x = 39

x = 13

Answer:

Step-by-step explanation:

the answer is B, i just took a test on that and got that question right, trust me!

Answer:

B

Step-by-step explanation:

Did test

In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

Answer:

the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"

Step-by-step explanation:

In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.

Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.

This means that the amount of practice every year explains how much he improves every year.

Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"

The Solution:

We are asked to determine the percentage of 20 out of 225.

That is,

Therefore, the correct answer is approximately 8.889%

Further explanation:

20 out of 225 gives the fraction: 20/225

To write this as a percentage, you have to multiply by 100.