Find x. Round your answer to the nearest integer.
15
37
O A. 8
B. 6
C. 9
D. 12

Answer:

Equation.

Step-by-step explanation:

X

\(x + 12 \div 6 \\ 20\)

I think this is right.

The remainder you got when 3x³ - 5x² - 23x + 24 is divided by x - 3 is -9.

Polynomials are expressions in algebra which consist of both variables and coefficients. Sometimes, variables are also known as indeterminates. Polynomials are classified as monomials, binomials, and trinomials based on the degree of the variables in the expression.

Variables in the monomials, binomials and trinomials have the highest degree equals 1, 2 and 3 respectively.

By doing the long division method, we will bet the quotient as 3x² + 4x - 11 and the remainder equals -9.

Let's check this using division algorithm.

Dividend = 3x³ - 5x² - 23x + 24

Divisor = x - 3

Quotient = 3x² + 4x - 11

Remainder = -9

By division algorithm,

Dividend = (Divisor × Quotient) + Remainder

3x³ - 5x² - 23x + 24  = [(x - 3) (3x² + 4x - 11)] + -9

                                 = [3x³ + 4x² - 11x - 9x² - 12x + 33] + -9

                                 = 3x³ + 4x² - 9x² - 11x - 12x + 33 - 9

                                 = 3x³ - 5x² - 23x + 24

Hence -9 is the remainder of this division process.

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A histogram is used to show the frequency of data, where the length of the bar represents the frequency.

50 students drank the recommended amount of water.

The recommended amount is given as:

\(Amount \ge 48\)

See attachment for histogram.

From the histogram, we have the following observations

This means that:  50 students drank the recommended amount of water.

Hence, the number of students is 50

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After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result

The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line

To find the slope of the curve at a given point

First differentiate the given equation of the curve with respect to x

That is dy / dx.

The derivative of the equation of the curve  is the slope of the curve.

In next step substitute the value of x in the slope of the curve

The result will be the slope of the curve at a given point

Therefore, these are the steps to find the slope of the curve

I have answered the question in general, as the given question is incomplete

The complete question is:

How to find the slope of a curve at a given point?

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Answer:

yes they did lose money

Step-by-step explanation:

42,512×2 = 85,024

92,000 - 85,024 = 6,976

they lost $6,976 in the first year

Answer:

Step-by-step explanation:

-4x + 1 = -4x + 1

1 = 1

infinitely many solutions

Answer:

288 Miles

Step-by-step explanation:

Solve for x (speed)

5.5x = 264

Divide by 5.5

x = 48

y = 48x

Subsitute 6 hours in for x

y = 48(6)

y = 288

Answer: Allie went 288 miles in 6 hours.

Step-by-step explanation:

First, you must find out how many miles Allie travled in one hour

= 264/5.5

= 48

Next, multiply the quotient by the number of hours to get the answer.

= 48 x 6

= 288

Answer:187 miles

Step-by-step explanation: 155.33-16.95=138.38/74=187

Answer:

Step-by-step explanation:

We can use the information given to find the equation of the line that represents the relationship between the number of bean stalks and the yield. The equation of a line is typically given by the slope-intercept form, y = mx + b, where y is the dependent variable (in this case, the yield), x is the independent variable (the number of bean stalks), m is the slope, and b is the y-intercept.

To find the slope of the line, we can use the formula:

m = (Y2 - Y1) / (n2 - n1)

where (n1, Y1) and (n2, Y2) are two points on the line. We can use the two data points given in the problem to find the slope:

m = (190 - 115) / (8 - 3) = 15

To find the y-intercept, we can use the point-slope form of a line, which is:

y - Y1 = m(x - n1)

where (n1, Y1) is one of the points on the line. We can use the point (3, 115):

y - 115 = 15(x - 3)

Simplifying:

y = 15x - 20

Therefore, the equation that represents the relationship between the number of bean stalks and the yield is:

Y = 15n - 20

This equation tells us that for each additional bean stalk planted, the yield increases by 15 ounces, and the y-intercept of -20 indicates that even if no bean stalks were planted, there would still be a yield of -20 ounces (which doesn't make physical sense in this case, but is a mathematical artifact of the linear regression).

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

Step-by-step explanation:

|x|=x,if x≥0

|x|=-x,if x<0

|-9|=-(-9)=9

|7|=7

The components of the vector with magnitude 8 and a direction angle of 210° are

(-4√3, -4)

To find the components of a vector with magnitude 8 and a direction angle of 210°, we can use the following formulas

x-component = magnitude * cos(angle)

y-component = magnitude * sin(angle)

given that:

magnitude = 8

angle = 210°

convert the angle from degrees to radians:

angle in radians = angle * π / 180

= 210° * π / 180

= 7π/6 radians

calculate the components:

x-component = magnitude * cos(angle in radians)

= 8 * cos(7π/6)

= 8 * (-√3/2)

= -4√3

y-component = magnitude * sin(angle in radians)

= 8 * sin(7π/6)

= 8 * (-1/2)

= -4

Therefore, the components of the vector with magnitude 8 and a direction angle of 210° are (-4√3, -4).

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Answer:

no its not 3.5

Answer:

Graph A best describes the given function

Answer:

9 ones, 8 tenths, 0 hundredths, 7 thousandths

Step-by-step explanation:

Answer:

9 thousands

8 hundreds

0 tens

7 ones

Step-by-step explanation:

Hope it helped!

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.\(^{}\)ly/3a8Nt8n

to being a right triangle they have to follow the pythagorical theorem so:

A)

So A is false

B)

So B is correct

Answer:

$3.50

Step-by-step explanation:

14 ÷ 4 = 3.5

good luck, i hope this helps :)

Answer:

\(38 \div5 \\ \)

Answer:

Y=2x-7

Step-by-step explanation:

Answer:

36720 different desserts

Step-by-step explanation:

(1020x3)x12=36720

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

Equation: -2x = -6

Solution: x = 3

Step-by-step explanation:

1. Take a look at the diagram. With two -x on one side and 6 of the -1 on the other, we can see the equation to be -x - x = -1 - 1 - 1 - 1 - 1 - 1

2. However, this is not a proper equation as it is not simplified: - 2x = -6

3. Now that we have the equation, apply simple algebra to recieve x, as such:

-2x = -6 ⇒ x = -6/-2 ⇒ x = 6/2 ⇒ x = 3

Answer:

equation:-2x=-6

solution: x=3

Step-by-step explanation:

-2x=-6

step one : divide -2 from both sides of the equal sign\(-2x/-2=-6/-2\)

then boom you got x=3

Answer:

3 to the power of 4 is 81

Step-by-step explanation:

When the level of confidence interval increases from 96% to 99% then the population mean will also become wider for a given fixed value of standard deviation and its fixed sample size, so the given statement is true.

As given in the question,

Let us consider 'σ' be the fixed standard deviation

And 'n' be the fixed sample size

Population mean = \(\bar{x}\) ± z ( σ /√n )

Range of confidence interval increases from 96% to 99%

For a fixed standard deviation and sample size range of population mean become wider .

For fixed \(\bar{x}\) , standard deviation 'σ' , and sample size 'n' the value of population mean get varied as per the change in confidence interval z-score.

Therefore, the given statement when level of confidence interval increases from 96% to 99% then population mean will get wider is a true statement.

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Answer/Step-by-step explanation:

To solve the given expression, \( x + 12.7 = -25.2 \), the following steps as well as justification for each step is given below:

Step 1: state the given expression

\( x + 12.7 = -25.2 \) (given)

Step 2: solve for x by subtracting 12.7 from each side of the equation.

\( x + 12.7 - 12.7 = -25.2 - 12.7 \)

Step 3: Apply the additive inverse rule and simplify (i.e the additive inverse of 12.7 is -12.7. when added, it gives us 0)

\( x + 0 = -37.9 \) (additive inverse/simplification)

Step 4: additive identity rule (i.e. the 0 added to x = 0)

\( x + 0 = -37.9 \) (identity property of addition)

Answer:

-36

Step-by-step explanation:

How are you in college lol

Answer:

Multiply  

4  by  − 9 .

− 36

Step-by-step explanation: