\((800)×(3×10 −1 )= ?\)

Answer:

b = 5

Step-by-step explanation:

x = 3
3B = 15
3B/3 = 15/3
B = 5

The percent change for this camera is 9.756%.

Markdown percentage is defined as the decrease in the price which is calculated as a percent of the selling price.

Given that,

Original selling price of the camera = $315

Selling price has been decreased to $287

Mark down percentage = (315 - 287) / 287

                                        = 0.09756

                                        = 9.756%

Hence the rate of the markdown percentage is 9.756%.

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Answer:

Your answer is 9.

Step-by-step explanation:

\(8x+2x+9=10x+9\)

If you were to simplify the first part of the equation, \(8x + 2x + 9\) would turn into \(10x + 9\)

We can rewrite the expression only using natural logarithms as:

logₐ(n)/logₙ(c) = (ln(n))^2/(ln(a)*ln(c))

First, you need to remember that:

logₐ(x) = ln(x)/ln(a).

Then the expression:

logₐ(n)/logₙ(c)

(I just changed the letter "b" for the letter "n" there, just because i don't have a "b" as a subscript).

Can be rewritten as:

logₐ(n)/logₙ(c) = (ln(n)/ln(a))*(ln(n)/ln(c)) = (ln(n))^2/(ln(a)*ln(c))

Then we have the simplification:

logₐ(n)/logₙ(c) = (ln(n))^2/(ln(a)*ln(c))

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Answer:

A. 25 minutes

Step-by-step explanation:

3ft/min = 75ft/?min

75ft ÷ 3ft = 25min

it will take the beetle 25 minutes to travel 75 feet.

If you are certain that your argument meets these criteria, you can be confident in the truth of its conclusion.

However, it is always important to remain open to new evidence or perspectives that may challenge your argument, and to be willing to revise your position if necessary.

If you have a strong argument with all true premises and have not ignored any important evidence, then you can confidently conclude that the argument's conclusion is true as well. This is because a strong argument is one where the premises provide good reasons to believe the conclusion is true. In other words, the truth of the premises guarantees the truth of the conclusion if the argument is valid (i.e., if the conclusion follows logically from the premises).

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Answer:

Reflection over the y-axis over if not vertical translation,reflection over y- axis

Step-by-step explanation:

hope this help if im wrong tell me cuz i think those 2 are one of the answer

The sets of transformations which result in a similar image are two translations and vertical translation, reflection over y-axis.

Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.

Select all the sets of transformations that result in a similar image.

Thus, the sets of transformations which result in a similar image are two translations and vertical translation, reflection over y-axis.

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Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

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The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed.

A characteristic of information that is gathered for analysis and reference is referred to as data. Numerous analytical tools can be used to measure data and facilitate conclusion-making. The data gathered is used for corporate management and scientific research, allowing management to make more informed decisions.

The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed. The tail of the data set is said to point to the right when the data is positively skewed. The mean and median, on the other hand, are always lower than the mode in a distribution that is negatively skewed. Skewness, in general, is a distortion that differs from typical data collection.

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Answer:

41/6 n

Step-by-step explanation:

Given

1230°

Find

Convert degree to radians

Explanation

To convert a degree measurement to radians we use the following formula:

Substitute the value of 1230°:

Simplify:

Answer:

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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Answer:

radius = 4 units and center of circle = (0,10)

Step-by-step explanation:

The radius of this circle from the given equation of circle is equal to 4

Data;

The equation of a circle is given as

\((x-h)^2 + (y-k)^2 = r^2\)

Let's substitute our given variables here and solve

\((x-h)^2 + (y - k)^2 = r^2\\(x-0)^2 + (y-10)^2 = 4^2\)

All we need to do here try to write the equation in the standard form which is given above and then pick the value of radius (r) from there

The radius of this circle is equal to 4

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Answer:

21

Step-by-step explanation:

To graph the hyperbola, we can draw the asymptotes passing through the centre, as well as the centre, vertices, and foci. The hyperbola, which will approach but never touch the asymptotes, can then be sketched.

To graph the hyperbola 4x2 - y2 - 6y = 25, we must first convert the equation to standard form by completing the square.

4x² – y² – 6y = 25

4x² – (y^2 + 6y) = 25

4x² – (y² + 6y + 9) = 25 + 4(9) (9)

4x² – (y + 3)² = 61

The equation is now in standard form:

(4x²/61) – ((y + 3)²/61) = 1

1. Center: The hyperbola's centre is (0, -3).

2. Vertices are located along the transverse axis, which in this case is the x-axis. The distance between the centre and each vertex is given by a, which is the square root of the positive term's denominator in the standard form equation. As a result, a = \(\sqrt{(61/4)\)= \(\sqrt{(15.25)} = 3.9\)(rounded to one decimal place). As a result, the vertices are (-3.9, -3) and (3.9, -3).

3. Foci: The distance between the centre and each focus is given by c, which is the square root of the sum of the squares of a and b, where b is the square root of the negative term in the standard form equation. As a result, \(b = \sqrt{(61/-61)} = -1\), and \(c = \sqrt{(15.25 - 1)} = \sqrt{(14.25)} = 3.8.\)(rounded to one decimal place). As a result, the foci are at (-3.8, -3) and (3.8, -3).

4. Asymptotes: The asymptotes' slopes are given by plus or minus b/a. As a result, the asymptote slopes are plus or minus (-1/3.9) = plus or minus 0.26. (rounded to two decimal places). The asymptotes are lines with these slopes that pass through the centre of the hyperbola. The asymptotes' equations are y = -3 +/- 0.26x.

To graph the hyperbola, we can draw the asymptotes passing through the centre and plot the centre, vertices, and foci. The hyperbola can then be sketched, which will approach but never touch the asymptotes.

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The angular velocity of the sphere at the bottom of the incline is 88.1 rad/s.

In physics, angular velocity or angular speed, also recognized as angular frequency vector, is a pseudovector portrayal of how fast the angular position or orientation of an object changes over time.

So, angular velocity will be:

mg(h sinθ) = 1/2 Iω² + 1/2mv²

I of solid sphere = 2/5 mr²

Hence,

mg(h sinθ) = 1/2 (2/5 mr²) ω² + 1/2 mv²

Now remove the mass:

g h sin θ = 1/5 r² ω² + 1/2 v²

ω = v/r, v = ωr

Now, calculate angular velocity as follows:
g h sin θ = 1/5 r² ω² + 1/2 (ωr)²

g h sin θ = (7/10) r² ω²

ω² = 10 g h sin θ/7 r²

ω = √10 g h sin θ/7 r²

  = √10 (9.8) (2.1) sin 25° / 7 (0.04)²

  = 88.1 rad/s

Therefore, the angular velocity of the sphere at the bottom of the incline is 88.1 rad/s.

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Complete question:
An 8.0 cm diameter, 400 g sphere is released from rest ta the tip of a 2.1 m long, 25-degree incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline?

Answer:

48 minutes

Step-by-step explanation:

25=3 400/25=16x3=48

Answer:

48 minutes

Step-by-step explanation:

25 words - 3 minutes

400 words - x minutes

Cross multiply

25x = 400 x 3

25x = 1200

Divide both sides by 25

x = 1200/25

x = 48

Answer: answer is a

Step-by-step explanation:

P

OQ = 4S - 10

OP = 23

PQ = 1

Equation

OQ = OP + PQ

Substitution

4S - 10 = 23 - 1

Simplification

4S = 22 + 10

4S = 32

S = 32/4

S = 8

Determine OP

OQ = 4(8) - 10

OQ = 32 - 10

OQ = 22

\( \frac{1}{2} (29 - x) = 7.75\)

\( \frac{1}{2} ( - x + 29) = 7.75\)

\( \frac{1( - x + 29)}{2} = 7.75\)

\( \frac{ - x + 29}{2} = 7.75\)

\(2· \frac{ - x + 29}{2} = 2·7.75\)

\( - x + 29 = 2·7.75\)

\( - x + 29 = 15.5\)

\( - x + 29 = 15.5 - 29\)

\( - x = - 13.5\)

\( \frac{ - x} {- 1} = \frac{ - 13.5 }{ - 1 } \)

\(x = 13.5\)

So, the value of x is 13.5.

Given:

The equation is:

\((2x+1)(x-2)=0\)

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

\(ax^2+bx+c=0\)            ....(i)

We have,

\((2x+1)(x-2)=0\)

In can be rewritten as

\(2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0\)

\(2x^2-4x+x-2=0\)

\(2x^2-3x-2=0\)             ...(ii)

On comparing (i) and (ii), we get

\(a=2,b=-3,c=-2\)

Therefore, the correct option is C.

one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

9.

Step-by-step explanation:

The remainder is given by the value of f(-1):

Remainder = 3(-1)^3 - 4(-1)^2 - 5(-1) + 11

= -3 - 4 + 5 + 11

= -7 + 16

= 9.

Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".

The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.

Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.

The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.

Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.

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The algebraic statement that is true is (c) (x²y - xz)/x² = (xy - z)/x

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

The algebraic statements

Next, we test the options

A/B + A/C = 2A/(B + C)

Take the LCM and evaluate

(AC + AB)/(BC) = 2A/(B + C)

This means that

A/B + A/C = 2A/(B + C) --- false

Next, we have

(a²b - c)/a² = b - c

Cross multiply

a²b - c = a²b - a²c

This means that

(a²b - c)/a² = b - c --- false

Lastly, we have

(x²y - xz)/x² = (xy - z)/x

Factor out x

x(xy - z)/x² = (xy - z)/x

Divide

(xy - z)/x = (xy - z)/x

This means that

(x²y - xz)/x² = (xy - z)/x --- true

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Answer:

C = 11,21 cm

using the formulas :

A (area) = 10 \(cm^{2}\)

A = π \(r^{2}\)

C = 2 π r

colving for C :

C = 2 *√(π*Α) = 2 *√(π * 10) = 11,20998 cm

Answer:

y=x+5

Step-by-step explanation:

Find the slope of the line between (−2,3)(-2,3) and (2,7)(2,7) using m=y2−y1x2−x1m=y2-y1x2-x1,

which is the change of yy over the change of xx.Tap for more steps...m=1m=1Use the slope 11 and a given point

 (−2,3)(-2,3) to substitute for x1x1 and y1y1 in the point-slope form y−y1=m(x−x1)y-y1=m(x-x1), which is derived from the slope equation

 m=y2−y1x2−x1m=y2-y1x2-x1.y−(3)=1⋅(x−(−2))y-(3)=1⋅(x-(-2))

Simplify the equation and keep it in point-slope form.

y−3=1⋅(x+2)y-3=1⋅(x+2)Solve for yy.

y=x+5y=x+5List the equation in different forms.

Slope-intercept form:y=x+5y=x+5Point-slope form:y−3=1⋅(x+2)

1.1. The EXPREG function, the resulting model for the astronauts' heart rate is:

y ≈ 80.794 × 1.057ˣ

1.2. The estimated heart rate after 30 minutes is approximately 208.3 beats per minute.

To find a function that models the astronauts' heart rate (y) at various times (x) after finishing exercising, we can use the EXPREG function in a graphing calculator or software.

EXPREG fits an exponential function to the given data points.

Using the provided data points:

Time (x) | Heart rate (y)

0 | 82.3

2 | 87.3

8 | 91.5

10 | 94.1

12 | 98.5

16 | 106.6

20 | 112.2

The EXPREG function will provide an exponential function of the form y = a × bˣ, where 'a' and 'b' are constants.

To estimate the heart rate of the astronaut after 30 minutes, we can substitute x = 30 into the model:

y ≈ 80.794 × 1.057³⁰

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