Solve the inequality 2y=4x-6

the following expressions are defined:

b) BC

c) \(B^T\)

d) B-C

e) A+B

f) \(BA^T\)

To determine which of the given expressions are defined, we need to consider the compatibility of matrix dimensions.

a) CA: Matrix multiplication is defined when the number of columns in the first matrix matches the number of rows in the second matrix. In this case, A is a 7x6 matrix and C is an 8x7 matrix. The number of columns in A (6) does not match the number of rows in C (8), so CA is not defined.

b) BC: Matrix multiplication is defined when the number of columns in the first matrix matches the number of rows in the second matrix. Both B and C are 7x6 matrices, so the number of columns in B (6) matches the number of rows in C (6). Therefore, BC is defined.

c) \(B^T\): The transpose of a matrix is defined for any matrix. So, \(B^T\)is defined.

d) B-C: Matrix subtraction is defined when the matrices have the same dimensions. Both B and C are 7x6 matrices, so B-C is defined.

e) A+B: Matrix addition is defined when the matrices have the same dimensions. Both A and B are 7x6 matrices, so A+B is defined.

f) \(BA^T\): Matrix multiplication is defined when the number of columns in the first matrix matches the number of rows in the second matrix. A is a 7x6 matrix, and \(A^T\)is a 6x7 matrix. The number of columns in A (6) matches the number of rows in \(A^T\) (6). Therefore, \(BA^T\) is defined.

So, the following expressions are defined:

b) BC

c) \(B^T\)

d) B-C

e) A+B

f) \(BA^T\)

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Answer:

Yup correct

Step-by-step explanation:

The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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The answer is 3 to the 3/4 power.

Answer:

ur answer is right lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(2, 4 ) and (4, 2 )

Step-by-step explanation:

y = 6 - x → (1)

x² + y² = 20 → (2)

substitute y = 6 - x into (2)

x² + (6 - x)² = 20 ← expand squared factor using FOIL

x² + 36 - 12x + x² = 20

2x² - 12x + 36 = 20 ( subtract 20 from both sides )

2x² - 12x + 16 = 0 ( divide through by 2 )

x² - 6x + 8 = 0 ← in standard form

(x - 2)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

substitute these values into (1) for corresponding values of y

x = 2 : y = 6 - 2 = 4 ⇒ (2, 4 )

x = 4 : y = 6 - 4 = 2 ⇒ (4, 2 )

Answer:

if ur going left to right it would be d

Step-by-step explanation:

Beth got £12 than Amy.

Given the following data:

To find how much more Beth got than Amy:

First of all, we would have to solve for Beth's share from the money.

\(A : B = 3 : 5\\\\18 : B = 3 : 5\\\\\frac{18}{B} = \frac{3}{5}\)

Cross-multiplying, we have;

\(18\) × \(5\) = \(3\) × \(B\)

\(90 = 3B\\\\B = \frac{90}{3}\)

Beth, B = £30

\(Difference = 30 - 18\)

Difference = £12

Therefore, Beth got £12 than Amy.

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Answer:

false cause it's not the constant

Complete question is;

raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5. Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2. Raj and Nicole’s polynomial expressions are added to create a sum, written in standard form. What can you determine about the degree of the sum? The sum will be degree . What can you determine about the number of terms of the sum? The maximum number of terms of the sum is , but it could be less.

Answer:

Degree: 5

Maximum number of terms: 6 or could less

Step-by-step explanation:

We are told that Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5. So let this polynomial be: Aa^(5) + Ba³ + Ca + D

Also, we're told that: Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2.

The polynomial is: Ea² + Fa + G

If we add both polynomials we, we will get;

Aa^(5) + Ba³ + Ca + D + Ea² + Fa + G

Rearranging terms to give;

Aa^(5) + Ba³ + Ea² + Ca + Fa + D + G

Collecting like terms to give;

Aa^(5) + Ba³ + Ea² + a(C + F) + (D + G)

So this is now a 5 degree polynomial.

So the new sum will have a degree of 5.

Also, as seen in the above steps, the maximum number of terms could be 6 or less.

Answer:

5 and 6            

Step-by-step explanation:

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

b=99°

Step-by-step explanation:

108°+72°+81°+b=360°

b=99°

The potential difference across the resistor is 0.625 volts if a resistor uses energy at a rate of 2.50W when there is a current of 4.00 A passing through it.

To determine the potential difference (voltage) across a resistor, you can use Ohm's Law, which states that the voltage across a resistor is equal to the current flowing through it multiplied by its resistance. Mathematically, it can be expressed as

V = I × R

Where

V is the voltage (potential difference) across the resistor,

I is the current passing through the resistor, and

R is the resistance of the resistor.

In this case, you are given the current (I = 4.00A) and the power (P = 2.50W) consumed by the resistor. The power can be calculated using the formula

P = V × I

Rearranging the formula, we can solve for the voltage (V)

V = P / I

Substituting the given values

V = 2.50W / 4.00A

V = 0.625 volts

Therefore, the potential difference across the resistor is 0.625 volts.

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Answer:

am confused so this is the best i can do with what was given.

Step-by-step explanation:

\(5x=y\\\)

x = number of questions correct

y = total number of points

The probability that the mixture will test positive is approximately 0.4744 or 47.44%

In this blood testing procedure, the mixture will test positive if at least one of the individual samples tests positive. To determine the probability of the mixture testing positive, we can first find the probability that all individual samples test negative and then subtract that from 1.

The probability that an individual sample tests negative is 1 - 0.12 = 0.88, since there is a 0.12 chance that it tests positive. As there are 5 samples, and we assume they are independent, we can multiply the probabilities together to find the probability that all samples test negative: 0.88^5 ≈ 0.5256.

Now, to find the probability that the mixture tests positive (meaning at least one individual sample is positive), we can subtract the probability of all samples being negative from 1: 1 - 0.5256 ≈ 0.4744.

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Answer:

True

Step-by-step explanation:

4-4=0

3-3=0

Answer:

True

Step-by-step explanation:

First you would have to find what is 4-4=0

Second it would be 3-3=0

so it’s true

It have the same answer

The area of the spill is therefore 169πm^2 and it is increasing at a rate of 182m^2/min.

The area of a circle is calculated using the formula A = πr^2. where A is the area and r is the radius. As the radius of the spill increases at a rate of 7m/min, the area of the spill increases at a rate of A' = 2πr•7m/min. When the radius is 13m, the area of the spill increases at a rate of A' = 2π•13•7m/min = 182m^2/min.

To calculate the area of the spill when the radius is 13m, substitute 13 for r in the formula A = πr^2. A = π•13^2 = 169πm^2. The area of the spill is therefore 169πm^2 and it is increasing at a rate of 182m^2/min.

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Hi :)

To find the tan of a number, just type the number into your calculator and press \(\boxed{\tan}\).

\(\tan 24=0.45\), Rounded to the nearest hundredth, or 2 numbers after the decimal point, just like you asked

\(\textit{\textbf{Learn\;More;Work\;Harder}}\)

:)

Answer:

1 unit

Step-by-step explanation:

- 1 1/2 - (- 2 1/2)

= 1 unit

it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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The expression that represents the width of the rectangle in yards, given the area and length, is option C: 4x^3y^4.

To determine the width of the rectangle, we divide the area by the length. In this case, the area is 36x^(7y^(5)) and the length is 9x^4y. Dividing the area by the length will cancel out the common factors and leave us with the remaining factors representing the width.

When we divide 36x^(7y^(5)) by 9x^4y, we divide the coefficients (36/9 = 4) and subtract the exponents of the variables (x^(7-4) = x^3, y^(5-1) = y^4). Therefore, the width of the rectangle is 4x^3y^4, which matches option C.

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The height of the helium tank is; Option D: 36 inches

The formula for the volume of a cylinder is;

V = πr²h

Where;

V is volume

r is radius

h is height

We are given;

Radius(r) = diameter/2 = 12/2

r = 6 inches

Volume; V = 1296π in³

1296π = π * 6² * h

h = 1296/36

h = 36 inches

We conclude that is the height if the helium tank

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Answer:

its height is 36 inches

Step-by-step explanation:

Answer:

\(a^3\)

Step-by-step explanation:

\((a^3)^{-1}=a^{(3)(-1)}=a^{-3} \\ \\ (a^2)^3=a^{(2)(3)}=a^6 \\ \\ a^{-3} \cdot a^6=a^{-3+6}=a^3\)

Solution

We will

Answer:

b

Step-by-step explanation:

Answer:

If 250 per 600

Step-by-step explanation:

600 x 3 is 1800, so 250 x 3 is 750.

So you're answer would be 750

Step-by-step explanation:

A Will be 29

B Will be 26

C Will be 45

D Will be 70

So B

The experimental probability of an even number other than 8 being generated is, 0.44

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Total number of numbers = 300

Number of even numbers = 154

Number of eight = 22

Hence, Number of even numbers other than 8 is,

154 - 22 = 132

Thus, Probability is,

= [number of even numbers other than eight] / [total number of numbers]

= 132/300

= 0.44

Thus, The experimental probability of an even number other than 8 being generated is, 0.44

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The information presented states that perhaps the sculpture is 21 feet in height.

A closed, two-dimensional triangle has three sides, three angles, and three vertices. A polygon also includes a triangle. Triangle ABC is shown in the image above. A triangle through one obtuse angle (more than 90°) and several acute angles is known as an obtuse trio (or obtuse-angled triangle). No Riemann triangle can contain more than one obscure angle because in Euclidean geometry, a rectangle angles must add up to 180°.

AB/DE = BC/EF

f/6 = 28.7/8.2

=> f/6 = 3.5

=> f = 3.5 *6 = 21 ft

Consequently, the memorial is 21 feet tall.

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The complete question is-

A monument casts a shadow 28. 7 feet long. A man who is 6 feet tall casts a shadow 8. 2 feet long. The triangle drawn with the monument and its shadow is similar to the triangle drawn with the man and his shadow. How tall is the monument? Complete the statement by providing the correct answer in number form.

Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.

From the provided data, we have

number of meatloafs = 5

Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.

net weight of the contents of 1 canister = 15 ounces

1 cup = 8 ounces

1.25 cups = 10 ounces

10 ounces of breadcrumbs makes 1 meatoafs.

but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10

= 50

If we consider 4 canisters then

15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.

and if we are consider 3 canisters then

15 ounces × 3 canisters = 45 ounces which is not enough.

So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.

approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .

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Complete question:

you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?

First, determine what information you need to answer this question, then click here to display that info (along with other info).

How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.

How many servings does that recipe make? It says it serves 10.

How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.

What is the net weight of the contents of 1 canister? 15 ounces.

How much does a canister cost? $2.39

How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.