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The expression 4xy-yz is an algebraic equation.

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

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The expression 4xy-yz is an algebraic equation.

Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.

To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.

The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.

In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.

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Answer:

6

Step-by-step explanation:

Use Pythagorean theorem:

a²+b²=c²

8²+a²=10²

64+a²=100

subtract 64 from 100

a²=36

√a=√36

a= 6

Answer:

5p + 10 = 5(p+2)

8p + 1p =​ 9p

Step-by-step explanation:

your question was confusing and you didn't specify so the first one is factored and the second is simplified.. hope it helped, brainliest please?

The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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Answer:

The measurement of angle A is 60° (vertical opposite angle)

The measurement of angle B is 135°(linear pair)

The measurement of angle C is 75°(linear pair)

Answer:

1200 dollars for interest, she must pay 6200

Step-by-step explanation:

8 percent of 5000 is 400 times 3 (years) is 1200

Answers:

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

Work Shown:

a)

i = P*r*t

i = 5000*0.08*3

i = 1200 is charged in simple interest

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

b)

She must pay back the amount borrowed ($5000) which is the principal as well as the interest calculated in part a) earlier.

The total amount she must pay back is 5000+1200 = 6200 dollars

Answer:

The choose B. (x-4)(x-4)

I hope I helped you^_^

Answer:

B.(x-4)(x-4)

Step-by-step explanation:

x²-8x+16

(x²-4x)(-4x+16)

x(x-4)-4(x-4)

(x-4)(x-4)

Hey there!

Formula: 1/2 * base * height = area

Equation: 1/2 * 6 * 8

Simplifying:

1/2 * 6 * 8

= 1/2 * 6/1 * 8/1

= 1 * 6 * 8 / 2 * 1 * 1

= 6 * 8 / 2 * 1

= 48 / 2

= 24

Therefore, your answer should be:

24 square units

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

126 Sq unite

Step-by-step explanation:

I took the assignment

Answer:

126 Sq

Step-by-step explanation:

im taking the test

Answer:

7x

Step-by-step explanation:

You add the two numbers and bring over your variable.

answer = no it does not measure a rate

Answer:

NO

Step-by-step explanation:

Percent is just a number out of 100

More people that rode the roller coaster are between the ages of 11 and 30, than people that are between the ages of 41 and 60 is the best description of the data which is obtained by using the arithmetic operations.

What are arithmetic operations?

Any real number may be explained using the four basic operations, also referred to as "arithmetic operations." Operations like division, multiplication, addition, and subtraction come before operations like quotient, product, sum, and difference in mathematics.

We are given a chart. From the chart we get the following data:

Number of people aged 11 - 20 riding roller coaster = 20

Number of people aged 21 - 30 riding roller coaster = 15

Number of people aged 31 - 40 riding roller coaster = 10

Number of people aged 41 - 50 riding roller coaster = 5

Number of people aged 51 - 60 riding roller coaster = 0

Using addition operation, we get

Total people = 20 + 15 + 10 + 5 + 0

Total people = 40

Now,

Total riders between 11 - 30 = 20 + 15

Total riders between 11 - 30 = 35

Similarly,

Total riders between 41 - 60 = 5 + 0

Total riders between 41 - 60 = 5

Hence, the fourth option is the correct answer.

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The probability that a randomly selected pigeon gets an incorrect result is; 0.0103

We are told that;

1.5% pigeons are infected.

Inaccuracy of the test = 1 - 97% = 3%

1.5% of the pigeons are infected. Thus;

1 - 1.5% = 98.5% pigeons are un-infected.

Inaccuracy of test is 1 - 99% = 1% .

Thus;

0.03 and 0.01 are the probability of an error being made in infected and un-infected respectively.

Meanwhile, probability of infected and un-infected are 0.015 and 0.985 respectively.

Thus, the probability of a randomly chosen person gets an incorrect result = (0.03*0.015) + (0.985*0.01) =  0.0103

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The graph of the quadratic function is plotted, in which Vertex (h,k) = (-4,3).

In mathematics, a quadratic equation is one with degree 2, which means that its maximum exponent is 2. A quadratic has the formula y = ax2 + bx + c, where a, b, and c are all numbers and a cannot be zero.

Given quadratic function:

y = (x+4)²+3

Now, the equation in vertex form is:

y = a(x - h)² + k

(h,k) are the vertex.

On comparing:

a = 1, h = -4, and k = 3

Vertex (h,k) = (-4,3)

Decide on a number of points along the parabola, making sure to get points on each side of the parabola and replacing x with both positive and negative numbers.

The ideal mirror image is: y = (x+4)²+3

x = 0, y = 19

x = 1, y = 28

x = 2, y = 39

x = -4, y = 3

Plot the vertex together with the points you choose. With the vertex serving as the minimum point, draw a parabola (curve) it through points.

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Complete question:

Given quadratic equation y=(x+4)²+3. Plot the graph.

Answer:

Step-by-step explanation:

Hello, please consider the following.

\(6x^2-8x+k=0\\\\\text{We compute the discriminant.}\\\\\Delta = b^2-4ac=8^2-4*6*k=8*8-8*3*k=8*(8-3k)\)

And the we know that if the discriminant is

***** \(\Delta\) < 0, meaning 8-3k<0, meaning

\(\boxed{k>\dfrac{8}{3}}\)

then, there is no real solution.

***** \(\Delta = 0\), meaning

\(\boxed{k=\dfrac{8}{3}}\)

There is 1 solution.

***** \(\Delta\) > 0, meaning

\(\boxed{k<\dfrac{8}{3}}\)

There are 2 solutions.

Thank you

PS: To give more details...

\(8-3k=0\\\\\text{Add 3k}\\\\8=3k\\\\\text{Divide by 3}\\\\k=\dfrac{8}{3}\)

For the total purchase, vera has been overcharged by $3. 50 for her purchase.

We have information that

3 orders at 0.89$

\(=3\times 0.89=2.67\)$

12 orders for 0.15$

\(=12\times0.15=1.8\)$

for 1 order 2.99$

\(=1\times 2.99=2.99\)$

and also 8.69$ for a photo album

so total amount = 2.67+1.8+2.99+8.69= 16.15$

Now 7% of the tax =\(16.15\times1.07=17.2805\)

Thus the difference of the amount =20.78-17.2805=3.5$

Thus the total purchase, vera has been overcharged by $3. 50 for her purchase.

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Answer:

D. Vera has been over charged by $3.50 for her purchase.

Step-by-step explanation:

I just did the assignment!

Answer:

-7x+20y+13

Step-by-step explanation:

Answer:

-7x+10y+13

Step-by-step explanation:

want the explanation?

I guess no cause you know that we need to collect like terms. :)

The Macaulay duration of a three-year 8% $2,000 bond with semiannual coupons, given a yield to maturity of 7% convertible semiannually, is approximately 2.87 years.

Macaulay duration is a measure of the weighted average time it takes to receive the cash flows from a bond, considering both the coupon payments and the final principal payment. To calculate the Macaulay duration, we need to find the present value of each cash flow and then calculate the weighted average.

In this case, the bond has a three-year maturity, with semiannual coupons. The coupon rate is 8%, and the face value of the bond is $2,000. The yield to maturity is 7% convertible semiannually. We can calculate the present value of each cash flow using the yield to maturity and discounting formula.

After calculating the present value of each cash flow, we multiply each cash flow by the respective time until it is received and then divide the sum of these values by the bond's current price. The resulting value is the Macaulay duration.

The Macaulay duration of the bond is approximately 2.87 years. This means that, on average, it will take around 2.87 years to recover the bond's price through the present value of its cash flows, considering the semiannual coupon payments and the final principal payment.

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Hence bond will be worth $ 3712.5

Answer:

the bonds be worth $3712.5 at the end of 5 years

Explanation:

\(Simple Interest: \frac{ Principal * Interest Rate * Time}{100}\)

Simple interest : ($3,300 * 2.5% * 5 )/100

Simple interest : $412.5

∵Total money she has worth: ( $412.5 +  $3,300 ) = $3712.5

Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.

What is probability?

Probability is a measure of the likelihood of an event occurring.

Part A:

To predict how many votes each candidate for president will get in the election, we can set up a proportion between the sample and the population

Let x be the number of votes each candidate will receive in the election.

For Henry:

36/150 = x/1500

x = (36/150) * 1500

x = 360

For Christy:

42/150 = x/1500

x = (42/150) * 1500

x = 420

For Celina:

22/150 = x/1500

x = (22/150) * 1500

x = 220

Therefore, Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.

Part B:

Based on the survey results, Christy is most likely to get the highest percentage of votes for the president’s position with 42/100 votes, which is approximately 42%.

Part C:

To predict how many votes each candidate for vice president will get in the election, we can set up a proportion between the sample and the population.

Let x be the number of votes each candidate will receive in the election.

For Tristan:

14/150 = x/1500

x = (14/150) * 1500

x = 140

For Kenny:

46/150 = x/1500

x = (46/150) * 1500

x = 460

For Madison:

40/150 = x/1500

x = (40/150) * 1500

x = 400

Therefore, Tristan is predicted to receive 140 votes, Kenny is predicted to receive 460 votes, and Madison is predicted to receive 400 votes for the vice president’s position.

Part D:

Based on the survey results, Kenny is most likely to get the highest percentage of votes for the vice president’s position with 46/100 votes, which is approximately 46%.

Part E:

To predict how many votes each candidate for treasurer will get in the election, we can set up a proportion between the sample and the population.

Let x be the number of votes each candidate will receive in the election.

For Priscilla:

53/150 = x/1500

x = (53/150) * 1500

x = 530

For Reuben:

24/150 = x/1500

x = (24/150) * 1500

x = 240

For Erica:

23/150 = x/1500

x = (23/150) * 1500

x = 230

Therefore, Priscilla is predicted to receive 530 votes, Reuben is predicted to receive 240 votes, and Erica is predicted to receive 230 votes for the treasurer’s position.

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Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: Mean: 70,000

Standard Deviation: 500

Step-by-step explanation:

The  mean is 70, 000 and standard deviation is 800.

The term "standard deviation" (or " σ ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

A certain region of America with over 500,000 households.

Mean, \(\mu\) = 70,000

and, Standard Deviation, \(\sigma\) = 20,000

n = 625

So, the new mean = old mean

                               = 70, 000

and, the standard deviation = \(\sigma /\)√n

                                              = 20,000 / √625

                                              = 20,000 / 25

                                              = 800.

Hence, the mean is 70, 000 and standard deviation is 800.

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Answer:

2.7 tablespoons.

Step-by-step explanation:

If you divide 72 by 48 you will get 2.57142857143, round to the nearest tenth you get, 2.7 tablespoons

Answer:

The box has a surface area of 11.75 square meters

Step-by-step explanation:

Please give brainliest

Answer:

11.75

Step-by-step explanation:

Don't really know how to explain this over a computer, but it is correct. Omnicalculator is very helpful.

Hope that this helps!

Answer:

$1 dollar and $0.90cents

Step-by-step explanation:

Since x lies in the third quadrant, sec x is negative.Therefore, sin x = √2 / 2, tan x = -1, and sec x = -√2, in simplest form.

Question 12: Part A: Determine the reference angle of x. (4 points)The reference angle of x is that angle in the range [0, 90°) that is formed by the terminal side of x when x is in standard position. It can be found by subtracting the multiple of 360° that brings the angle into the range [0, 360°) from the given angle, then taking the absolute value of the result.θr = |θ - 360°n|, where n is an integer that makes θr a positive angle, and θ is the given angleIn this case, the given angle x = -135° is in the third quadrant, and it lies 45° short of the fourth quadrant.

Therefore, we will add 360° to x and take the absolute value of the result to find the reference angle:θr = |(-135°) + 360°| = 225°Therefore, the reference angle of x is 225°.Part B: Find the exact values of sin x, tan x, and sec x in simplest form. (6 points)We have x = -135°, and we need to find the values of sin x, tan x, and sec x.Sin x = sin(-135°) = -√2 / 2. Since x lies in the third quadrant, sin x is negative, and we can find its value using the reference angle 225°:sin x = -sin(225°) = -(-√2 / 2) = √2 / 2.Tan x = tan(-135°) = -1. Since x lies in the third quadrant, tan x is negative.Sec x = sec(-135°) = -√2.

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According to the question as the problem mentioned by solving this we have gotten the original number is 17.

Let's denote the original number as "x".

According to the given information, the number is tripled, which means we have 3x. Then, it is decreased by 15, resulting in 3x - 15.

We are told that the result of this operation is 36, so we can set up the equation:

3x - 15 = 36

To find the original number, we need to solve this equation for x:

3x = 36 + 15

3x = 51

x = 51/3

x = 17

Therefore, the original number is 17.

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you're ordered to attempt to memorize a series of images. there are 15 images in the series. when you are asked to state the order of the images you remember the first 3 and then it starts to get fuzzy. This is an example of memory retrieval.

What do you mean by series?

The total of a particular sequence of terms is known as a series in mathematics. These phrases often refer to real or complex numbers, though considerably more generality is possible.

In calculus and its generalization, mathematical analysis, the study of series plays a significant role. Most mathematical disciplines employ series, including combinatorics, where generating functions are employed to explore finite structures.

Along with being widely utilized in mathematics, infinite series are also frequently employed in other quantitative fields like physics, computer science, statistics, and finance.

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The given graph is a rectangular hyperbola graph because the product of the variables, that is x and y, is constant. The equation of a rectangular hyperbola is y=k/x. k is the constant value. The variables x and y are inversely proportional to each other.

Thus, as x increases, y decreases, and vice versa.GraphA rectangular hyperbola graph with labeled axesThe horizontal axis is labeled in increments of 5s. The vertical axis is labeled in increments of 1mil. a) On the graph, 10.00 ÷ min is 0.1mil. Thus, 10.00 ÷ min corresponds to a point on the graph where the vertical axis is at 0.1mil.b) At 6 in 20-00, the horizontal axis is 6, which corresponds to 30s.

The vertical axis is 20-00 or 2000mil, which is equivalent to 2mil. The coordinates of the point are (30s, 2mil).c) At 10.0000000.00 mes, the horizontal axis is at 100s. The vertical axis is 0, which corresponds to the x-axis. The coordinates of the point are (100s, 0).

d) From 20.00 to 35.00s, the vertical axis is at 4mil. From 20.00 to 35.00s, the horizontal axis is at 3 increments of 5s, which is 15s. The coordinates of the starting point are (20.00s, 4mil). The coordinates of the ending point are (35.00s, 4mil). The point on the graph is represented by a horizontal line segment at y=4mil from x=20.00s to x=35.00s. Similarly, from 0 to 40.00s, the coordinates of the starting point are (0, 10mil).

The coordinates of the ending point are (40.00s, 0). The point on the graph is represented by a curve from (0, 10mil) to (40.00s, 0).

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Answer:

B(7 , -2)

Step-by-step explanation:

A(-9 , 6)

Midpoint = (-1 , 2 )

\(Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) = (-1 , 2)\\\)

                   \((\frac{-9+x_{2}}{2},\frac{6+y_{2}}{2}) = (-1 , 2)\\\)

Compare the x co ordinates and y co ordinates,

\(\frac{-9+x_{2}}{2}= - 1\)               &    \(\frac{6+y_{2}}{2}=2\)

-9 + x₂ = -1*2            & 6 + y₂ = 2*2

-9 + x₂ = -2               & 6 + y₂ = 4

      x₂ = -2 +9          &       y₂  = 4 - 6

      x₂ = 7                 &       y₂   = -2

B(7 , -2)