Can you please help me

Answer:

360

Step-by-step explanation:

Area=QR*18

=360

Answer:

b = 4a

Step-by-step explanation:

Given

a = \(\frac{1}{4}\) b

Multiply both sides by 4 to clear the fraction

4a = b

The minimum value of the expression is \($\sqrt{\frac{abc(a+b+c)^2}{6}}$\), with a, b, and c be positive real numbers.

What is the positive real number?

In mathematics, the set of positive real numbers is the subset of those real numbers that are greater than zero. The non-negative real numbers, also include zero.

We can simplify the expression as follows:

a^2 b^2 c = (ab)^2 c.

Now, we can use the AM-GM inequality to find the minimum value of the expression:

\([(ab)^2 c \ge \left(\frac{(ab)^2 + c}{2}\right)^2 = \left(\frac{(ab + c)^2 - 2abc}{4}\right)^2.]\)

As the minimum value is achieved when equality holds, we can set the equation to the original expression and simplify it.

\([(ab)^2 c \ge \left(\frac{(ab)^2 + c}{2}\right)^2 = \left(\frac{(ab + c)^2 - 2abc}{4}\right)^2.]\)

\($a^2b^2c = \frac{(a^2b^2+ 2ab^2c+c^2b^2) - 2abc}{4}$\)

\($4a^2b^2c = (a^2b^2+ 2ab^2c+c^2b^2) - 2abc$\)

4abc = (ab + c)(ab + c) - 2abc

4abc = (ab + c)^2 - 2abc

6abc = (ab + c)^2

so the minimum value is: \($(\frac {(ab+c)^2}{6})^{\frac{1}{2}}$\)

\($\sqrt{\frac{abc(a+b+c)^2}{6}}$\)

Hence, the minimum value of the expression is \($\sqrt{\frac{abc(a+b+c)^2}{6}}$\), with a, b, and c be positive real numbers.

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The matrix form of the given equation is:

\(\left[\begin{array}{ccc}0&2&7\\-3&-3&0\\7&0&-8\end{array}\right] * \left[\begin{array}{ccc}x&\\y&\\z \end{array}\right] = \left[\begin{array}{ccc}-3&\\3&\\3\end{array}\right]\)

How do you write a system of linear equations in matrix form?

A coefficient matrix, a variable matrix, and a constant matrix can all be used to describe a system of linear equations in matrix form. Take into account the equation 2x+3y=85x+y=2. The coefficients of the variables in each equation can be arranged in a row to create the coefficient matrix.

We have,

2y + 7z = -3

-3x - 3y = 3

7x - 8z = 3

Hence, the matrix form of the given equation is:

\(\left[\begin{array}{ccc}0&2&7\\-3&-3&0\\7&0&-8\end{array}\right] * \left[\begin{array}{ccc}x&\\y&\\z \end{array}\right] = \left[\begin{array}{ccc}-3&\\3&\\3\end{array}\right]\)

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The value of d that will put the black point precisely on a line through the blue points is 3.

To determine the value of d that will put the black point precisely on a line passing through the blue points, we can use the equation of a line in the form ax + by + c = 0. Given the values of a = 1, b = -2, and c = 4, we substitute the x and y coordinates of the blue points into this equation.

Let's consider the first blue point with coordinates (x1, y1). Substituting these values into the equation, we have 1*x1 + (-2)*y1 + 4 = 0. Similarly, for the second blue point with coordinates (x2, y2), we have 1*x2 + (-2)*y2 + 4 = 0.

Solving these two equations simultaneously, we can determine the values of x1, x2, y1, and y2. Let's assume x1 = 2, x2 = 6, y1 = 3, and y2 = 1. Substituting these values, we get 1*2 + (-2)*3 + 4 = 0 and 1*6 + (-2)*1 + 4 = 0.

Now, we can solve these equations to find the value of d. Rearranging the equation, we have -2*3 + 4 = -2*1 + 4 + d. Simplifying, we get -2 + 4 = -2 + 4 + d, which gives d = 3.

Therefore, the value of d that will put the black point precisely on a line through the blue points is 3.

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The expression that will not be equivalent to the number given -(-20) is -20 (option D).

A number is said to be equivalent not only if the number is equal in value, for example, 15 = 10 + 5, but also if the negative or positive sign is equal, for example, 5 is not equal to -5.

The original expression is -(-20), this expression can be simplified as 20 or +20 considering that minus plus minus is equivalent to +. Based on this, the expression that is not equivalent is -20.

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Answer

C. 9

Step-by-step explanation

Before calculating the interquartile range (IQR), we need to find the first quartile (Q1) and the third quartile (Q3). To do this, first, we need to order the values from least to greatest and find the median.

The median is the value placed in the middle of the ordered list.

The Q1 is the value placed in the middle from the minimum to the median.

The Q3 is the value placed in the middle from the median to the maximum.

The interquartile range is calculated as follows:

Step-by-step explanation:

We can solve this kind of trigonometric problem

easily by the followings method :

Given :

cos^4a + cos^2a = 1

or, cos4^a = 1 - cos^2a

Therefore; cos^4a = sin^2a

Again,

To prove: cot^4a - cot^2a = 1

L.H.S = Cot^4a - cot^2a

= Cos^4a÷ sin^4a - Cos^2a ÷ sin^2a

= Sin^2a ÷ Sin^4a - cos^2a ÷ Sin^2a

= 1 ÷ Sin^2a - cos^2a ÷ Sin^2a

= 1 - cos^2a ÷ Sin^2a

= Sin^2a ÷ Sin^2a

= 1 = R.H.S proved.

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The value of the volume of the cone is 3240π

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hope it helps! :)

Answer:

pqr2-pq-p2r-rq2 is the answer

Answer:

Step-by-step explanation:

pq(r^2 - 1) - r(p^2 + q^2)

multiply the brackets

=pq*r^2 - pq*1 - r*p^2 - r*q^2

=pqr^2 - pq - rp^2 - rq^2

=pqr^2 -rp^2 -rq^2 -pq

Answer:

takes 3 minutes, at 17 gallons per minute, for the tap to fill the tub, so 51 gallons of water flow into the tub.

The capacity of the tub is 46.5 gallons; so in 3 minutes 51-46.5 = 4.5 gallons have leaked. That's a rate of 4.5/3 = 1.5 gallons per minute.

The amount of time it will take the tub to drain at that rate is 46.5/1.5 = 31 minutes.

Answer:

46.5/1.5 = 31

Step-by-step explanation:

The missing angle measures are;

The triangle is an isosceles triangle with two equal sides and angles

Angle 1 = 133°

Angle 2 = 360° - 133° - 133° (Angle at a point)

= 94°

Angle 3 = 180° - (22 + 133)° (Sum of angle in a triangle)

= 180 - 155

= 25°

Angle 4 = 25° (Same rule as angle 3)

Angle 5 and 6 = x

Opposite angles in an isosceles triangle are equal

x + x + 94° = 180°

2x + 94° = 180°

2x = 180 - 94

2x = 86

x = 43°

Hence, the sum of angle in a triangle is equal to 180°

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Answer: The third one

A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

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Answer:

0.029g

Step-by-step explanation:

1mg = 0.001g

29mg = 0.029g

Answer:

Where is the graph of this question?

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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Work Shown:

\((x_1,y_1) = (-13,2) \text{ and } (x_2,y_2) = (-17,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 2}{-17 - (-13)}\\\\m = \frac{9 - 2}{-17 + 13}\\\\m = \frac{7}{-4}\\\\m = -\frac{7}{4}\\\\\)

A slope of -7/4 means that we move down 7 and to the right 4.

Answer:

C , r = 6 cm

Step-by-step explanation:

Finding the circumference is really easy. You just have to multiply the radius (r) by 2 and pi. Pi is 3.14 so 3.14*2*6=37 which is bigger than the other numbers. For a question like this where it gives you different radii, you can just pick the biggest number :) hope this helps!

Answer:

C , r = 6 cm should be the answer

Step-by-step explanation:

Answer: 13 markers and one pen

Step-by-step explanation:

14/2 = 7

7+6=13 markers

Which means there is only one pen left

From the obtained equation, there are 4 pens and 10 markers.

Given that, there are 14 pens and markers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of pens be p.

Then, the number of markers will be p+6

Now, the equation is p+p+6=14

⇒ 2p+6=14

⇒ 2p=8

⇒ p=4

Thus, p+6=10

Therefore, from the obtained equation, there are 4 pens and 10 markers.

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Answer:

\(6^{2}\)

Step-by-step explanation:

Use power rules.

\(\frac{6^{7} }{6^{5} }\)

\(6^{7-5}\)

\(6^{2}\)

Another way of solving in which the 6s on the numerator cancel with the 6s on the denominator:

\(\frac{6*6*6*6*6*6*6}{6*6*6*6*6}\)

\(\frac{6*6}{1}\)

6*6

\(6^{2}\)

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

49 and 64 are perfect squares, while 23 and 41 are not.

-If we are asked to identify a statement that is true for all of the integers 23, 41, 49, 64, one possible correct statement is: All of the integers are greater than 20.

-If we are asked to identify a statement that is false for all of the integers 23, 41, 49, 64, one possible correct statement is: All of the integers are perfect squares.

-If we are asked to identify a statement that is true for some of the integers 23, 41, 49, 64 and false for others, one possible correct statement is: Only one of the integers is a prime number. In this case, 23 and 41 are prime, while 49 and 64 are not.

-If we are asked to identify a statement that is true for any two of the integers 23, 41, 49, 64 and false for the other two, one possible correct statement is: Exactly two of the integers are perfect squares. In this case, 49 and 64 are perfect squares, while 23 and 41 are not.

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Answer:

392

Step-by-step explanation:

To convert temperatures in degrees Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.

On converting 200° Celsius to Fahrenheit the value is obtained as 392° F.

What is temperature?

The average kinetic energy of the particles in an object is measured by its temperature. The velocity of these particles likewise increases as the temperature rises.

A thermometer or a calorimeter is used to determine the temperature. In other words, a system's internal energy is determined by its temperature.

According to the International System of Units, Kelvin, denoted by the letter K, is the SI unit of temperature. In the fields of science and engineering, the Kelvin scale is commonly acknowledged or utilised. However, the Celsius or Fahrenheit scale is used to measure temperature throughout the majority of the world.

The formula for converting Celsius to Fahrenheit is -

F = (C × 9/5) + 32

The temperature in Celsius is given as - 200° Celsius

Substitute the values in the equation -

F = (200 × 9/5) + 32

F = (40 × 9) + 32

F = 360 + 32

F = 392° F

Therefore, the temperature in Fahrenheit is 392° F.

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Starting from the given system of equations:

Since the variable y is already isolated in the second equation, we can use the substitution method to solve the system.

Replace y by 7x on the first equation:

Then. substitute the value x=1 back into the second equation to find the value of y:

Therefore, the solution for this system of equations is:

Answer:

What are the choices and what grade level going to 4th-12th

Step-by-step explanation:

The speed is the distance covered by an object at a particular time. It will take 1 and seven-tenths of the day to reach San Francisco.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance Covered / Time taken

Given that the speed during the entire journey is 60 miles per hour and you drive for 8 hours per day. Therefore, the distance that you can cover in a day is,

Distance covered in a day = Speed × Time

                                            = 60 miles per hour × 8 hours per day

                                            = 480 miles per day

Now, by road the distance between Washington, DC, and San Francisco, California is 812.5 miles. Therefore, the number of days it would take to reach San Francisco is,

Number of days

= Total Distance to be Covered / Distance covered in a day

= 812.5 miles / 480 miles per day

= 1.7 days

Hence, it will take 1 and seven-tenths of the day to reach San Francisco.

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The angle measure of the arc bounding the sector with area 8π square inches is 45 degrees.

The area of the sector is given by the formula:

\(A = (1/2) r^2\)θ

where A is the sector's area,  is the sector's central angle in radians, and r is the circle's radius.

The radius of the circle is 8 inches, and the area of the sector is 8 square inches. When these values are added to the formula, we get:

8π = \((1/2) (8^2)\) θ

Simplifying, we get:

8π = 32θ

Dividing both sides by 32, we get:

θ = π/4 radians

To convert this to degrees, we multiply by 180/π:

θ = (π/4) × (180/π) = 45 degrees

As a result, the angle of the arc that divides the 8-square-inch sector is 45 degrees..

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