plz help with 24-28!!!!!!!!!!!!!!

Answer: Simply multiply 43.50 x .06 you get 2.61 add them = $46.11

Step-by-step explanation:

Answer:

$46.11

Step-by-step explanation:

Net price $43.11

plus tax $2.61

A. Matrix AB is \(\left[\begin{array}{cc}24&37\\6&25\end{array}\right]\)

B. Matrix BA is \(\left[\begin{array}{cc}10&-12\\-1&39\end{array}\right]\)

C. No, in general, AB does not always equal BA.

A. To find AB we say \(\left[\begin{array}{cc}-3&5\\1&3\end{array}\right]\) × \(\left[\begin{array}{cc}-3&1\\3&8\end{array}\right]\)

which becomes \(\left[\begin{array}{cc}-3*-3 + 5*3& -3*3 + 5*8\\1*3 +3*3&1*1 + 8*3\end{array}\right]\) ⇒   \(\left[\begin{array}{cc}24&37\\6&25\end{array}\right]\)

B. To find Matrix BA  \(\left[\begin{array}{cc}-3&1\\3&8\end{array}\right]\) ×  \(\left[\begin{array}{cc}-3&5\\1&3\end{array}\right]\)

Which becomes \(\left[\begin{array}{cc}-3*3 + 1*1 &-3*5 + 1*3\\3*-3 + 8*1&3*5 + 8*3\end{array}\right]\) ⇒  \(\left[\begin{array}{cc}10&-12\\-1&39\end{array}\right]\)

C. For matrices A and B such that AB and BA both exist, AB will equal BA if and only if the matrices commute. A matrix commutes with another matrix if the order in which they are multiplied does not matter.

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Answer:

in 3 minutes and 50 seconds

Step-by-step explanation:

soup = 95c

after 1 minute = 83c

after 2 minutes = 71c

after 3 minutes = 59

soup cools down 0.2c in 1 seconds

so 10 seconds = 2c

in 3 minutes and 50 seconds = 49c

The temperature 49°C of soup bowl will be after 5.54 minutes

\((T-T_{s} )=(T_{0} -T_{s} )e^{-kt}\)

\(T =\) 83°C and 49°C

\(T_{s} =\) 22°C

\(T_{0} =\) 95°C

(83-22)=(95-22)\(e^{-k}\)

∴ k = -ln (61/73)

Now,

(49-22) = \(e^{ln(61/73)t}\)

∴ t = \(\frac{ln (27/73)}{ln(61/73)}\)

∴ t = 5.54 minutes

So, after 5.54 minutes temperature will be 49°C

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Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Answer:

There are a few different scenarios

Step-by-step explanation:

FROM- THE GENIUS ANSWERER

The rational function that represents the situation is \(y = 19.8x\)

The rational function is a linear function that passes through the following points

So, we start by calculating the slope (m) of the function

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

This gives:

\(m = \frac{19.8 - 0}{1 - 0}\)

Simplify

\(m = \frac{19.8 }{1}\)

\(m = 19.8\)

The equation is then calculated as:

\(y = m(x -x_1) + y_1\)

This gives

\(y = 19.8(x -0) + 0\)

Simplify

\(y = 19.8x\)

Hence, the rational function that represents the situation is \(y = 19.8x\)

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Question: Which rational function represents this situation?

Answer: The rational number that represents the situation is D: y= 19,800/x.

This answer is correct! I did this on Edge.

the property shown is the Cummulative Property of Addition

10 + (4 + 7b) = 14 + 7b

(10 +

==========================================================

Explanation:

Define the events

The given probabilities are

The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.

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

We want to find the value of P(H and F), which is the same as P(F and H)

We can use the conditional probability formula

P(F given H) = P(F and H)/P(H)

P(H)*P(F given H) = P(F and H)

P(F and H) = P(H)*P(F given H)

P(F and H) = 0.60*0.80

P(F and H) = 0.48

There's a 48% chance someone orders a burger and fries.

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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The percentage of boys in the combined group is 60% and the percentage of girls in the combined group is 40%.

Given the number of boys and girls in two groups of students travelling together, we have to determine the percentage of boys and girls in the combined group. Let's solve this problem step by step. Solution:Step 1: Let the number of boys in the combined group be B and the number of girls in the combined group be G.B = 40 + 50 = 90 (Adding the number of boys from both groups)G = 25 + 35 = 60 (Adding the number of girls from both groups)Step 2: Find the total number of students in the combined group.Total students in the combined group = B + G = 90 + 60 = 150 studentsStep 3: Calculate the percentage of boys and girls in the combined group.Percentage of boys = (Number of boys in the combined group/Total number of students in the combined group) × 100= (90/150) × 100 = 60%Percentage of girls = (Number of girls in the combined group/Total number of students in the combined group) × 100= (60/150) × 100 = 40%

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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Answer:

C

Step-by-step explanation:

Since C is the largest half, then C is part of the largest whole.

Answer: C

The length of each piece of ribbon is 0.1 meters and the discount percentage is 75%

From the question, we have the following parameters

Length of the coaxial cable = 4/5 meters

Also, from the question;

We have

Number of pieces = 8

The length of each piece from the cable is the quotient of the Length of the coaxial cable and the number of pieces

This is represented as

Length of each piece = Length of the coaxial cable/Number of pieces

So, we have

Length of each piece = (4/5)/8

Evaluate the quotient

Length of each piece = 0.1

Hence, the length is 0.1 meter

Here, we have

Original price = $45.00

Purchased amount = $11.25

The discount is calculated as

Purchased amount = Original price * (1 -discount)

So, we have

11.25 = 45 * (1 - discount)

So, we have

1 - discount = 0.25

Evaluate

Discount  0.75

This gives

Discount = 75%

So, the discount is 75%

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The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

Yes, because the median height of the ponies is 96 centimeters and 50% of the ponies would be taller.

Step-by-step explanation: I think so

The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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Answer: 9.900

The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be 2 13/15.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be:

= -6 3/5 -(-7 4/15) + 2 1/5

= 7 4/15 + 2 1/5 - 6 4/5

= 7 4/15 + 2 3/15 - 6 9/15

= 9 7/15 - 6 9/15

= 2 13/15

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Answer:

\(p ≤6\)

Step-by-step explanation:

Inequality: \( - 4p +36 ≥2p\)

Collect like terms

→ \( - 4p - 2p≥ - 36\)

→ \( - 6p≥ - 36\)

Divide both sides by -6

→ \( \frac{ - 6p}{ - 6}≤\frac{ - 36}{ - 6} \)

Therefore: \(p ≤6\)

Answer:

m = 0.2508 g

Step-by-step explanation:

We know that for continuous exponential decay, we usually use the format;

N = N_o•e^(kt)

Where N and N_o represent amount after time t and intial amount respectively. And k is decay rate.

But in this case, we are dealing with mass.

Thus, we will use;

m = m_o•e^(-kt)

We are given;

Initial mass; m_o = 0.5 g

Time after decay; t = 60 days

Decay rate; k = 1.15% per day = 0.0115 per day

Thus;

m = 0.5e^(-0.0115 × 60)

m = 0.5 × 0.5016

m = 0.2508 g

Answer:

\(x=-9\frac{1}{3}\)

Step-by-step explanation:

\(\frac{1}{2}(x+10)=\frac{1}{4}(x-8)\)

\(\frac{1}{2}x+5=\frac{1}{4}x-2\)

\(\frac{1}{2}x-\frac{1}{4}x=-5-2\)

\(\frac{3}{4}x=-7\)

\(x=-\frac{28}{3}=-9\frac{1}{3}\)

\(a_{ij}=3j-2i\) is the formula for (i, j )-th entry (row i, column j ) of the matrix. So the matrix would be

\(\begin{bmatrix}3\times1-2\times1&3\times2-2\times1&3\times3-2\times1\\3\times1-2\times2&3\times2-2\times2&3\times3-2\times2\\3\times1-2\times3&3\times2-2\times3&3\times3-2\times3\end{bmatrix} = \begin{bmatrix}1&4&7\\-1&2&5\\-3&0&3\end{bmatrix}\)

Answer:

Hello,

Step-by-step explanation:

m∠DHG=(11x-36)°

m∠GHF=(x+12)°

(11x-36)°+(x+12)°=180°

12x-24=180

x=17

m∠arc DG=(11*17-36)°=151°

Answer:

C

Step-by-step explanation:

Domain (and range) don't necessarily have to be in smallest to largest order unless your teacher requires it, so don't worry about the order.

Let's remind ourselves that the domain is the input value, or the x value, and y is the output value, or the y value. We know that in an ordered pair, the first # is x and the second # is y (because x comes before y in the alphabet). Lets look at our ordered pairs and see what the x values are.

{(8, -2), (4, -2), (-3, 2), (-5, -3)}

The x values are 8, 4, -3, and -5, therefore:

Domain: {8,4,-3,-5}

Range would equal all the y values. Remind yourself that if an x value is repeated to only write it down ONCE.

Remember, the order does not matter, so the answer would be C.

Hope this helped!

Answer:

41.6 km/h

Step-by-step explanation:

Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h

1 hr 15 min is the same as 1.25 hours

Arban drives 128km/1.25hr or 102.4 km/h

The difference is 102.4-60.8 = 41.6

Answer:

52cm^2

Step-by-step explanation:

6*3+2((2*5)/2)+4*6

=18+10+24

=52

Answer:

77cm²

Step-by-step explanation:

Okay, so first you have to find the area of all the shapes that make up the net, I'm going to start with the triangle:

So the height is 2 and the base is 5, so we plug this into our equation to get:

2 x 5 ÷ 2 = 5

There's 2 triangles so:

5 x 2 = 10

Then we start on the rectangles, we're going left to right:

6 x 3 = 18

5 x 5 = 25

4 x 6 = 24

Then we add that all up:

10 + 18 + 25 + 24 = 77

So the net of the triangular prism is 77cm²

hope this helps:)

Answer:

x=2/5, y=-24/5. (2/5, -24/5).

Step-by-step explanation:

y=-2x-4

y=1/2x-5

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

-2x-4=1/2x-5

-2x-1/2x-4=-5

-4/2x-1/2x=-5+4

-5/2x=-1

5/2x=1

x=1/(5/2)

x=2/5

y=1/2(2/5)-5

y=1/5-5

y=1/5-25/5

y=-24/5