which of the following represents h (x-2) + 3

The remainder is indeed 4  when dividing 74 by 7 by the division algorithm.

To find the remainder when dividing 74 by 7, we can use the concept of division and the division algorithm. The division algorithm states that any division problem can be written as:

Dividend = Divisor × Quotient + Remainder

In this case, the dividend is 74, the divisor is 7, and we want to find the quotient and remainder.

The quotient is 10, and the remainder is 4. Therefore, when dividing 74 by 7, the remainder is 4.

To verify this result, we can use the formula:

Remainder = Dividend - (Divisor × Quotient)

In this case, the dividend is 74, the divisor is 7, and the quotient is 10:

Remainder = 74 - (7 × 10)

Remainder = 74 - 70

Remainder = 4

Thus, the remainder is indeed 4.

The remainder represents the leftover value after dividing the dividend (74) by the divisor (7) as much as possible. In this case, since 7 can go into 74 ten times with a remainder of 4, the remainder is 4.

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Note the search engine cannot find the complete question.

Answer:

32a-18

Step-by-step explanation:

add together the side lengths:

10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18

Answer:

32a-18

Step-by-step explanation:

you just sum it all together

Answer:

3x−7

Step-by-step explanation:

3x – 6+ (-1)

3x + (-7)

The  area of the shaded region is 77 units squared

A square is a polygon whose all sides are equal and opposite sides are parallel to each other. the sum of the angles of a square is 360 degrees

There are four squares of length 9  units.

The length of side of the fourth is short by 2 units by the first square

The area of one square is given by

Area S² = 9²

Area = 9*9 = 81 square units

Then the cut side is given by 2 units

Area of the cut section is 2² = 4 units squared

Therefore the area of the shaded portion is given by

S² -s²

Area of shaded portion is = 81-4 = 77 units squared

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Answer:

d=15

Step-by-step explanation:

2d-5f=30

2d=30+5f

d=15

Answer:

1.75 < 1.85 < 553% < 72/3

Step-by-step explanation:

The solution to the equation [x(x³ + 4x + 39)]/(x + 3) is x(x² - 3x + 13)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation:

[x(x³ + 4x + 39)]/(x + 3) = [x(x² - 3x + 13)(x + 3)]/(x + 3) = x(x² - 3x + 13)

The solution to the equation [x(x³ + 4x + 39)]/(x + 3) is x(x² - 3x + 13)

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Answer:

1.39626

Step-by-step explanation:

80° × π/180 = 1.396rad

Answer:

4π/9, 0.44444π, or 1.3962634 radians

Step-by-step explanation:

To convert from degrees, to radians, multiply the the degrees times pi over 180 degrees

\(\textdegree *\frac{\pi }{180\textdegree}\)

We want to convert 80 degrees to radians.

\(80 \textdegree *\frac{\pi}{180 \textdegree}\)

The degrees signs cancel.

\(80 *\frac{\pi}{180}\)

\(\frac {80}{1} *\frac{\pi}{180}\)

Move 80 to the numerator.

\(\frac{80 \pi}{180}\)

Simplify 80/180. Both the numerator and denominator can be divided by 20.

\(\frac{(80/20) \pi}{180/20}\)

\(\frac{4 \pi}{9} \approx 0.444444\pi \approx 1.3962634\)

80 degrees is equal to 4π/9 radians, 0.44444π radians, or 1.3962634 radians.

Answer: its C

Step-by-step explanation:

The two angles are 32 degrees and 58 degrees, and they are complementary.

What are complementary angles ?

Complementary angles are two angles whose sum is exactly 90 degrees. In other words, when two angles are complementary, they "complete" each other to form a right angle.

For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, because 30 degrees + 60 degrees = 90 degrees.

Complementary angles are important in geometry and trigonometry, as they often arise in problems involving right triangles and other geometric shapes.

Let's call the smaller angle "x".

According to the problem, the larger angle is six less than twice the smaller angle.

So, we can write an equation:

Larger angle = 2x - 6

We also know that the two angles are complementary, which means they add up to 90 degrees.

So, we can write another equation:

Smaller angle + Larger angle = 90

Now we can substitute the expression for the larger angle from the first equation into the second equation:

x + (2x - 6) = 90

Simplifying this equation:

3x - 6 = 90

Adding 6 to both sides:

3x = 96

Dividing both sides by 3:

x = 32

So the smaller angle is 32 degrees.

To find the larger angle, we can use the equation we derived earlier:

Larger angle = 2x - 6

Larger angle = 2(32) - 6

Larger angle = 58

So the larger angle is 58 degrees.

Therefore, the two angles are 32 degrees and 58 degrees, and they are complementary.

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The best function that models the data is f(x) = log StartFraction 1 Over x EndFraction, x not-equals 0

Find the table attached below

From the table shown,  we can see that when   x = 1/10, f(x) = 1

Similarly when x = 1/100, f(x) = 2

According to the law of logarithm, we can say that:

Log 10 = 1

Log 100 = 2 etc..

Recall that f(x) = 1 when x = 1/10, this means that;

F(x) = log 10

F(x) = log(1/1/10))

F(x) = log(1/x) since x = 1/10

Similarly if f(x) = 2 when x = 1/100

F(x) = log 100

F(x) = log(1/1/100))

F(x) = log(1/x) since x = 1/100 in this case

On a general note, we can conclude that f(x) = 1/x where x is not equal to zero.

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Answer:

A

Step-by-step explanation:

The person above said so

f (x) = StartFraction 1 Over x EndFraction, x not-equals 0

Answer:

38.6 m

Step-by-step explanation:

cos 75° = 10/x

x= 10/cos75°= 38.637 ≈ 38.6m

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

(x+6)(x+4)

Step-by-step explanation:

Step-by-step explanation:

such an equation is a simple linear function :

y = ax + b

b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.

our job is now to find the correct a and b values.

we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.

132.5 = a×25 + b

145 = a×30 + b

now, we can use a little trick and simply subtract the whole first equation from the second equation.

145 = a×30 + b

- 132.5 = a×25 + b

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

12.5 = a×5 + 0

5a = 12.5

a = 2.5

with this we go into one of the original equations, e.g. the second one :

145 = 2.5×30 + b = 75 + b

70 = b

so, it full equation is

y = 2.5x + 70

the costs for 85 students are

y = 2.5×85 + 70 = 212.5 + 70 = $282.50

To determine the number of turns around a transformer, you can follow these steps:

Identify the primary coil and the secondary coil of the transformer. The primary coil is connected to the input voltage source, while the secondary coil is connected to the output load.

Count the number of turns in the primary coil. This can be done by physically counting the number of wire loops or by referring to the specifications provided by the manufacturer.

Count the number of turns in the secondary coil using the same method as in step 2.

The relationship between the number of turns and voltage in a transformer can be described by the turns ratio (N), which is the ratio of the number of turns in the secondary coil (N₂) to the number of turns in the primary coil (N₁). Mathematically, the turns ratio is represented as:

N = N₂ / N₁

The turns ratio determines the voltage transformation ratio of the transformer. According to Faraday's law of electromagnetic induction, the induced voltage in a coil is proportional to the rate of change of magnetic flux through the coil. Therefore, if the turns ratio is greater than 1, the voltage in the secondary coil will be higher than the voltage in the primary coil. Conversely, if the turns ratio is less than 1, the voltage in the secondary coil will be lower than the voltage in the primary coil.

The relationship between the turns ratio and voltage can be expressed using the following equation:

V₂ / V₁ = N₂ / N₁

Where:

V₁ is the voltage in the primary coil,

V₂ is the voltage in the secondary coil,

N₁ is the number of turns in the primary coil, and

N₂ is the number of turns in the secondary coil.

This equation shows that the voltage ratio is equal to the turns ratio. It demonstrates the direct relationship between the number of turns and voltage in a transformer.

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The inequality that you can you use to find the original prices p of jackets that you can buy is p - 3 ≤ 30.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

You can use the following inequality to find the original prices p of jackets that you can buy:

p - 3 ≤ 30

Let p be the original price of the jacket you want to buy.

The coupon gives you a discount of $3 off any item, so the amount you can spend on the jacket is p - 3.

Since you can spend at most $30, we can write:

p - 3 ≤ 30

This inequality says that the original price of the jacket (p) minus the discount ($3) must be less than or equal to $30, which is the maximum amount you can spend.

Thus,

The inequality that you can you use to find the original prices p of jackets that you can buy is p - 3 ≤ 30.

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Answer:

[-2, -1, 1, 2, 4]

Step-by-step explanation:

The domain is a list of x-values. pls mark brainliest

Answer:

6x² + 11x - 4

Step-by-step explanation:

(8x² + 3x − 4) + (−2x² + 8x)

= 8x² + 3x - 4 - 2x² + 8x

= 6x² + 3x - 4 + 8x

= 6x² + 11x - 4

Answer:

Step-by-step explanation:

Fat fat fat fat jfjfjfjfjfjfjfmfmfkfkfmfkfmjfmf

Answer: y=(x-9)(x-1)

Step-by-step explanation:

Answer:

2/3 < 1 3/4

Step-by-step explanation:

2/3 is less than 1 3/4

2/3 as a decimal is 0.6666667

1 3/4 as a decimal is 1.75

So, 1.75 is more than 0.6666667

Answer:

he saved about 2300$

Step-by-step explanation:

Answer:

1,4,5

Step-by-step explanation:

Jist Multiply these

Outliers are observations that are significantly distant from the rest of the data set. They represent experimental errors or atypical observations.

In the scatter plot, you can consider being outliers any dot that is apart from the rest of the data set.

In the given scatter plot there are three observations that can be considered outliers.

Answer:

1905

Step-by-step explanation:

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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The standard form of the given equation is 5x - 4y = -3.

What is a standard form of an equation?

The standard form for linear equations in two variables is Ax+By=C.

What is a slope intercept form?

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

Here, we have

y = 5/4x+3/4

we have to convert this equation into standard form

y - 5/4x = 3/4

y - 5/4x - 3/4 = 0

4y - 5x - 3 = 0

4y - 5x = 3

5x - 4y = -3

Hence, the standard form of the given equation is 5x - 4y = -3.

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Answer:

C

Step-by-step explanation:

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