What is half of 1 2 US?

If f(x) = 5 - 3x and g(x)= 4x + 1, then the value of x such that f(x) = g(x) is, x 4/7

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

Two functions, f(x) = 5 - 3x and g(x)= 4x + 1,

The value of x, for which  f(x) = g(x)

Now, equating both the functions

⇒ 5 - 3x = 4x + 1

⇒ 4  = 7x

⇒ x = 4/7

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After simplification, we can express the given expression as "Negative twelve and one-half."

Option (B) is correct.

What is a simplification in mathematics?

In mathematics, simplification refers to the process of making an expression or equation simpler or easier to understand or work with. This can involve combining like terms, removing unnecessary terms or factors, or rearranging the order of the terms.

To simplify the expression: Negative two and one-third minus negative ten and one-sixth, we will convert the mixed numbers to fractions and then perform the subtraction.

First, we convert the mixed numbers to fractions:

Negative two and one-third = -2 + (1/3) = -2 + 1/3

Negative ten and one-sixth = -10 + (1/6) = -10 + 1/6

Then we perform the subtraction:

(-2 + 1/3) - (-10 + 1/6) = -2 -10 + 1/3 - 1/6 = -12 + 2/6 + 1/6 = -12 + 3/6 = -12 + 1/2

So the simplified expression is Negative twelve and one-half.

Hence, after simplification, we can express the given expression as "Negative twelve and one-half."

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Question 14

[tex]\frac{\sin x}{26}=\frac{\sin 49^{\circ}}{25}\\\\\sin x=\frac{26\sin 49^{\circ}}{25}\\\\x \approx 51.7^{\circ}, 128.3^{\circ}[/tex]

Both of these values satisfy the angle sum of a triangle.

Question 16

[tex]\frac{\sin x}{8}=\frac{\sin 105^{\circ}}{11}\\\\\sin x=\frac{8 \sin 105^{\circ}}{11}\\\\x \approx 44.6^{\circ}, 135.4^{\circ}[/tex]

However, the second case exceeds the angle sum of a triangle, so [tex]x \approx 44.6^{\circ}[/tex].

The missing sides or angles that make the triangle ABC congruent to PDF by SAS are AC and PF, ∠A and ∠P and ∠B and ∠D

If all three corresponding sides and all three corresponding angles are equal for two triangles, they are said to be congruent. The corresponding sides and angles of two triangles must be equal for them to be considered congruent.

The triangles are congruent by AAS if two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle (angle angle side). Hence, the missing side or the angle that makes the triangle ABC  congruent to triangle PDF are as follows:AC ≅ PF∠A ≅ ∠P∠B ≅ ∠D

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The exponential function y = 0.5(34)t has the form y = a*b^t, where a is the initial amount and b is the rate of decay. In this case, a = 0.5 and b = 34.

To find the rate of decay as a percent, we need to find the decimal form of b and then convert it to a percent. To find the decimal form, we need to take the square root of b = 34.

√34 = 5.83

To convert this decimal to a percent, we need to multiply it by 100.

5.83 * 100 = 583%

Therefore, the rate of decay is 583%.

Now we can use these values to evaluate the function when t = 3.

y = 0.5(34)^3

y = 0.5(363)

y = 181.5

So when t = 3, the value of y is 181.5, rounded to the nearest tenth.

Note that the initial amount a = 0.5, the rate of decay r = 583% and the function at t = 3 is 181.5.

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Depending on the comparable model, Energy Star appliances will save you 10% to 50% of the energy used;

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Using an energy efficient bulb will result in a significant cost saving over the long term.

Does utilising less energy cost less money?

A normal incandescent bulb uses 60W of power and lasts around 1000 hours, while a LED bulb uses around 8-12W of power and can last up to 25,000 hours.

So if you use the light 5 hours a day, 365 days a year, a 60W incandescent bulb will consume 11.25 kWh per year and cost you approximately £1.35 per year to run. In contrast, a 8W LED bulb will consume approximately 0.6 kWh per year, costing you approximately £0.072 per year to run.

Therefore, using an energy efficient bulb will result in a significant cost saving over the long term.

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Step-by-step explanation:

what we see on the left side is that both terms contain (y + 6).

so, the left side is actually

(y + 6) × (x - 5)

therefore,

(x - 5)

is the missing factor on the right side.

The best units for Kiley to report her findings are millimeters or centimeters.

Kiley is conducting an experiment to measure the change in length of a blade of grass over time. To accurately record her findings, she must choose the right units of measurement.

The best units for Kiley to use in her experiment would be millimeters or centimeters, as they provide a precise measurement of the length of the blade.

Using these units, Kiley can accurately measure and report any changes in the length of the blade of grass from day to day.

By keeping a consistent unit of measurement, she'll be able to accurately track the changes in the blade of grass' length over time.

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The probability that the student really knew the correct answer is 0.9375, or 93.75%.

(i) If the probability that the student knows the answer to the question is 0.75 and the probability that the student guesses is 0.25, the probability that the question is answered correctly is:

P(correct) = P(knowing the answer) * P(guessing correctly given knowing the answer) + P(guessing) * P(guessing correctly given guessing)

In this case, the probability of guessing correctly given knowing the answer is 1, since the student knows the correct answer. And the probability of guessing correctly given guessing is 0.25.

Therefore, P(correct) = 0.75 * 1 + 0.25 * 0.25 = 0.75 + 0.0625 = 0.8125

(ii) If it is answered correctly, what is the probability that the student really knew the correct answer?

This is called conditional probability and is represented as P(knowing the answer | correct). To calculate it we use Bayes' theorem,

P(knowing the answer | correct) = P(correct | knowing the answer) * P(knowing the answer) / P(correct)

In this case, P(correct | knowing the answer) = 1, P(knowing the answer) = 0.75 and P(correct) = 0.8125

Therefore, P(knowing the answer | correct) = 1 * 0.75 / 0.8125 = 0.9375

So the probability that the student really knew the correct answer is 0.9375, or 93.75%.

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Answer: 32/9, or 3 5/9

Step-by-step explanation:

1. convert the mixed number to an improper fraction. It would turn into 16/9 x 2

2. Calculate the product : 32/9

3. Use division to get a mixed number: 3 5/9.

The state of the qubit after the spin projection along the x-axis in graph measurement outcome is found to be 1 is |1⟩.

The original state of the qubit is given as |ψ⟩ = a|0⟩ + b|1⟩.

After a spin projection along the x-axis measurement, if the outcome is 1, then the state of the qubit after the measurement is |1⟩. This can be expressed as |1⟩ = a|0⟩ + b|1⟩.

Therefore, the state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.

The state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.

The state of the qubit before the spin projection along the x-axis measurement was given as |ψ⟩ = a|0⟩ + b|1⟩, where a and b are complex numbers such that |a|2 + |b|2 = 1. After the spin projection along the x-axis measurement, if the outcome was 1, then the state of the qubit after the measurement is |1⟩ = a|0⟩ + b|1⟩, which is the state of the qubit after the spin projection along the x-axis graph measurement outcome is found to be 1.

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a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) D = [0,5]

c) R = [0,35]

The set of inputs that a function will accept is known as the domain of the function in mathematics. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Here, we have

a) H0 is the initial height. It means the height of the rocket at time 0 s.

This value is 15 m.

b) The domain is all values of t between 0 and 5 seconds.

D = [0,5]

c) The range is all values of height from 0 to 35 meters.

R = [0,35]

Hence, a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) D = [0,5]

c) R = [0,35]

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Complete question is: The graph H shows the height, in meters, of a rocket 1 seconds after it was launched.

a. Find H0). What does this value

represent?

b. Describe the domain of this function.

c. Describe the range of this function.

Answer:

Step-by-step explanation:

.

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

Euclidean geometry states that a square is a quadrilateral square has four equal sides plus four equal angles. A rectangle has two adjacent sides that are of the same length is another name for it. An equilateral quadrilateral is one that has a square as one of its four equal sides and four equal angles. A square angle is one that is 90 degrees or straight. The diagonals of the square are also split at a 90 degrees and are equally spaced. a rectangle next to it that has two sides of equal length. four equal-length sides and four right angles make up a quadrilateral. a parallelogram with a right angle formed by two neighboring, equal sides. rectangle with straight sides.

Here,

Given :

PQ⊥RS

=> c−a=b−d.1)

=> PQ=  3 √3/4

​=> PQ² = 27/16

​=> 1+(a−c)² =27/16

​

=> RS= √(b−d)² +1   (3)

=> By equation (1),(2)and (3)

RS= 3 √3/4

Therefore , the solution of the given problem of square comes out to be

RS= 3 √3/4 unit.

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​

​

Answer: 2304

Step-by-step explanation: 64 x 36 = 2304

Answer:

2,304 in.

Step-by-step explanation:

I attached a pic of my work.

The probability of a right-handed student being forced to use a left-handed arm tablet is 0.085 or 8.5% using either the binomial or normal model.

A binomial model is appropriate to use for this problem since there are two possible outcomes (left or right-handed) and the probability of each outcome is independent of the other. The probability of a right-handed student being forced to use a left-handed arm tablet is calculated by subtracting the number of left-handed arm tablets (30) from the total number of students in the class (188) and dividing that by the total number of arm tablets (200). This yields a probability of 0.085 or 8.5%.

Using the normal model, the probability of a right-handed student being forced to use a left-handed arm tablet can also be calculated. This model is appropriate since there are a large number of students (188) and the probability of a student being right or left-handed is close to the population average (13%). The probability can be calculated by subtracting the number of left-handed arm tablets (30) from the total number of students in the class (188) and dividing that by the total number of arm tablets (200). This yields a probability of 0.085 or 8.5%.

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The definition of sequence is an ordered list of objects.

The term ordered list is known as the way to uses numbers or some sort of notation that indicates a series of items.

in math the term sequence is defined as an arrangement of numbers in a particular order.

Where as which is also known as a series is defined as the sum of the elements of a sequence.

in the sequence the listed of objects are an arrangement of two or more things in a successive order and the successive order of two or more things which means that they are in chronological sequence.

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the difference in volume between the two boxes is 1432.842 cubic inches.

In mathematics, volume is the space taken by an object.

here, we have,

A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches.

A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches.

To find the volume of the cereal box, we multiply the length, width, and height:

12 inches * 7 and 3/4 inches * 2 inches = 96 inches * 7.75 inches * 2 inches = 1458 cubic inches

To find the volume of the pastry box, we multiply the length, width, and height:

3 and 2/3 inches * 3 and 1/2 inches * 2 and 1/3 inches = 3.666 inches * 3.5 inches * 2.333 inches = 25.158 cubic inches

To find the difference in volume between the two boxes, we subtract the volume of the pastry box from the volume of the cereal box:

1458 cubic inches - 25.158 cubic inches = 1432.842 cubic inches

hence, the difference in volume between the two boxes is 1432.842 cubic inches.

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Answer:

Step-by-step explanation:

the difference in volume between the two boxes is 1432.842 cubic inches.

The x-coordinate of the minimum on [-2,3] is -1. This is because the second derivative of a function is equal to 0 at the minimum or maximum of the function, so f''(c) must equal 0 at the minimum of [-2,3], which is at x=-1.

1. A minimum or maximum of a function occurs when the second derivative equals 0 (f''(c) = 0).

2. Since the interval [-2,3] is given, we can determine that the minimum of the function must occur at x=-1 since the second derivative must equal 0 at the minimum.

The x-coordinate of the minimum on the interval [-2,3] is -1. This is because the second derivative of a function is equal to 0 at the minimum or maximum of the function. Therefore, for the interval [-2,3], the second derivative of the function must equal 0 at the minimum, which is at x=-1. To determine this, we can use the fact that the second derivative is equal to 0 at the minimum or maximum of a function. This means that the minimum of the function must occur at x=-1 since the second derivative must equal 0 at the minimum. This is why the x-coordinate of the minimum on the interval [-2,3] is -1.

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Answer:

$445.20

Step-by-step explanation:

Discounted price:

$530 × (100% - 40%) = $318

Markup:

$318 × (100% + 40%) = $445.20

So, the price of the tablet computer after the markup is $445.20

Answer:

y = -[tex]\frac{9}{7}[/tex] + [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Answer:

y = [tex]-\frac{9}{7} x +\frac{8}{7}[/tex]

Step-by-step explanation:

To turn the coordinates into y=mx+b, you first need the slope, m.

To find that you would use [tex]m = \frac{y2 - y1}{x2 - x1}[/tex],

Let (-3, 5) = (x2, y2)

and (4, -4) = (x1, y1)

[tex]m = \frac{5 - (-4)}{-3 -4}[/tex]

or, [tex]m = -\frac{9}{7}[/tex].

Now you have the slope, you will need the y-intercept, b, which you will need to use the point-slope formula (y - y2) = m(x - x2) and plug one of the points and slope into the equation (It does not matter which point you use).

So, (y - 5) = [tex]-\frac{9}{7}[/tex](x - (-3) or (y - 5) = [tex]-\frac{9}{7}[/tex](x + 3)

Then you would distribute the -9/7 to the (x + 3),

which turns into

(y - 5) = [tex]-\frac{9}{7}x[/tex] + ([tex]-\frac{9}{7}[/tex])3

y - 5 = [tex]-\frac{9}{7} x -\frac{27}{7}[/tex]

After that , add 5 from both sides,

y - 5 = [tex]-\frac{9}{7} x -\frac{27}{7}[/tex]

 + 5               +5

--------------------------------

y = [tex]-\frac{9}{7} x +\frac{8}{7}[/tex]

And that should be in y=mx+b form!

Hope it helps!

The remaining area of the square is 16(4 - π) square inches.

To find the remaining area of the square after four circles are removed from it, we first need to find the area of the square and then subtract the combined area of the four circles.

The area of a square can be found by multiplying the length of one side by itself. If the circles have a radius of 2 inches, the side length of the square would be 2 inches + 2 inches + 2 inches + 2 inches = 8 inches. Therefore, the area of the square is 8 inches * 8 inches

= 64 square inches.

The area of a circle can be found by using the formula:

A = πr^2,

where A is the area, π is a constant (approximately 3.14) and r is the radius of the circle.

So the area of each circles is

A = πr^2

= π*2^2

= 4π square inches

The combined area of the four circles is 4*4π = 16π square inches.

So the remaining area of the square would be 64 square inches - 4*4π square inches

= 64 square inches - 16π square inches

= 16(4 - π) square inches

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Answer:(64-16pi)in.^2

Step-by-step explanation:

I got it right on e2020

first off let's take a looksie at the picture above, hmmm the vertex is at (-1 , 0) and it has another point at (0 , 1) ok hmmm

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=-1\\ k=0\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=1 \end{cases}[/tex]

[tex]1=a(~~0-(-1)~~)^2 + 0\implies 1=a(1)^2\implies 1=a \\\\\\ y=1(~~x-(-1)~~)^2 + 0\implies {\Large \begin{array}{llll} y=(x+1)^2 \end{array}}[/tex]

Answer: 6

Step-by-step explanation:

Cancel out the GCF (4)

Multiply the numbers in parenthesis (9x3)

Cancel out GCF (3 and 27)

9-3=6

Answer: 6

Step-by-step explanation:

Given Equation: 1/3*(9/4*12)-3

To solve this equation, you will need to do so according to PEMDAS.

First, you must solve the equation in the parenthesis.

1/3*(9/4*12)-3

= 1/3*(27)-3

Next, do the multiplication.

1/3*(27)-3

=9-3

Finally, subtract the values.

9-3

=6

Answer: 6

Answer:

x = 5

y = 8

Step-by-step explanation:

2x + y = 18

y = 4x - 12

2x + 4x - 12 = 18

6x - 12 = 18

6x = 30

x = 5

2x + y = 18

2*5 + y = 18

10 + y = 18

y = 8

Answer:

f(6)=23

Step-by-step explanation:

f(n)=f(n-1)+3

f(1) becomes f(1-1)+3

f(1-1)+3 = 8

f(0) +3=8

f(0) = 5

=

f(2) = f(2-1)+3

f(2) = f(1)+3

f(2) = 8+3

f(2) = 11

f(3) = f(3-1)+3

f(3) = f(2) + 3

f(3) = 11+3

F(3) = 14

We can see that the sequence adds three to each prior value:

x  Result

 0     5

 1      8

 2     11

 3     14

 4     17

 5     20

 6     23

f(6) = 23

The interpretation of the standard error of the mean is the amount of time it takes for students taking this statistics class to complete this multiple-choice assessment item would vary by 0.27 minutes.

The sample mean duration of time required to complete this question would normally deviate from the population mean by roughly 0.27 minutes if we randomly sampled a large number of students enrolled in this statistics course.

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I think the answer is -26z

annual salary of the 6 employees of a toy company is given below:

Correct option is: Statements (1) and (2) TOGETHER are not sufficient.

The average, sometimes referred to as the arithmetic mean, is calculated by dividing the total number of variables by their sum. Mean, however, represents the data's average. The mean is the sum of the data divided by the total of observations in statistics.

If the 6 annual salaries were ordered from least to greatest, each annual salary would be $6,300 greater than the preceding annual salary.

x, x + 6300, x + (2 × 6300), x + (3 ×6300), x + (4 × 6300), x + (5 × 6300)

Avg = ( x + ( x + 5 × 6300 )) / 2

Avg = ( 2x + 5 × 6300 ) / 2

The range of the 6 annual salaries is $31,500

Thus, no new information, Statement 2) can be derived from Statement 1) itself.

So, Statements (1) and (2) TOGETHER are not sufficient, this is correct option.

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The complete question is as follows:

What is the average (arithmetic mean) annual salary of the 6 employees of a toy company?

(1) If the 6 annual salaries were ordered from least to greatest, each annual salary would be $6,300 greater than the preceding annual salary.

(2) The range of the 6 annual salaries is $31,500.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are not sufficient.

A) 38% of 124 is 46.32 (as a decimal)

B) 138% of 124 is 171.12 (as a decimal)

What is the decimal form?

The decimal form of a number is a way of expressing that number as a decimal (base 10) number. A decimal number is made up of a whole number part and a fractional part, separated by a decimal point.

A) To work out 38% of 124, we can use the following formula:

(percentage/100) * value = result

So, in this case:

(38/100) * 124 = 0.38 * 124 = 46.32

So, 38% of 124 is 46.32 (as a decimal)

B) To work out 138% of 124, we can use the same formula:

(138/100) * 124 = 1.38 * 124 = 171.12

So, 138% of 124 is 171.12 (as a decimal)

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