10. Which point is the solution for this System of equation?

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

Hope this helps.

Answer:

y=-1·x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = 8x - 4 → (2)

Substitute y = 8x - 4 into (1)

8x - 4 = x + 3 ( subtract x from both sides )

7x - 4 = 3 ( add 4 to both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (1)

y = 1 + 3 = 4

solution is (1, 4 ) → A

Answer: 23 + 2c

Step-by-step explanation:

     To write an expression, we will look at the wording of the phrase given;

The sum of ➜ addition

twice Chau's height ➜ 2c

The sum of 23 and twice Chau's height.

23 + 2c

Answer: 50, 75, 40, 125

Step-by-step explanation:

a) x = 5*20/2 = 50

b) x = 5*30/2 = 75

c) x = 2*100/5 = 40

d) x = 5*50/2 = 125

Answer:

0

Step-by-step explanation:

Answer:

j

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Because a square has to have a variable in front of it to actually be graphable.

Answer:

- 12(x + 2)

Step-by-step explanation:

- 12x - 24 ← factor out the common factor of - 12 from each term

= - 12(x + 2)

The expected number of boys who make good score is found to be 188 by using random sample method.

To get the projected number of boys who get good grades, multiply the total number of boys by the proportion of boys who answered they would like to get good grades the most.

According to the table, the total number of boys surveyed is:

188 +64 +192 = 444

And the percentage of guys who indicated they

would like to get good grades is:

188/444 0.423

As a result, the projected number of guys with good grades is:

Expected number of boys = total number of boys

x percentage of boys who get high grades

444 x 0.423 = 444 boys expected

Number of boys expected = 187.812

When we round to the nearest full number, we get: The expected number of males with good grades

is 188.

So, as a result there are 188 boys who say they

would like to score more good grades.

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Complete question - A study examines the personal goals of children in grades 4, 5, and 6. A random sample of students was selected for each of the grades 4, 5, and 6 from schools in Georgia. The students received a questionnaire regarding achievement of personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Results are presented in the following table by the sex of the child.

Boys Girls

Be good in sports 188 590

Be popular 64 80

Make good grades 192 90

Answer:

I think 23%

Step-by-step explanation:

Answer:

1.x=90 degrees

2.smaller angles =30

3.larger angles =(30×2)=60

Step-by-step explanation:

Complement angle=90 degrees

90/3 (because need to separate into 3 parts) =30 degrees

1part =30 degrees

1:2

(1×30):(2×30)

30:60

Answer:

Step-by-step explanation:

A. Subtract 290 from 450, 450-290= 160

B. The variable e represents the elevation before they started the hike

C. 450+-290= 450-290

The requried elevation before the hike is given as 160 feet and the required equation model of the situation is e + 290 = 450 where e represents the elevation before the hike.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

a. To find the members' elevation before the hike, we can subtract the increase in elevation from their current elevation. So, their elevation before the hike would be 450 - 290 = 160 feet.

b. In the equation e + 290 = 450, the variable "e" represents the members' elevation before the hike.

c. Han's strategy for finding the beginning elevation involves adding -290 to both sides of the equation e + 290 = 450 to get e = 450 + -290. This is equivalent to subtracting 290 from both sides of the equation e + 290 = 450. Both strategies result in the same equation, e = 160, which tells us that the members' elevation before the hike was 160 feet.

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Maximize V = L * W * H, subject to the constraint A = L * W = 6.

To maximize the volume of a rectangle while maintaining a fixed area, we can formulate the problem using nonlinear programming. Let's denote the length of the rectangle as L (in mm) and the width as W (in mm).

The objective is to maximize the volume, which is given by V = L * W * H, where H represents the height of the rectangle. Since the area is fixed at 6 mm², we have the constraint A = L * W = 6.

Formulation:

Maximize: V = L * W * H

Subject to: A = L * W = 6 (Area constraint)

This formulation considers the objective of maximizing the volume while ensuring that the area remains constant at 6 mm². Solving this nonlinear programming problem will provide the optimal values for the length and width that maximize the volume of the rectangle.

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Answer:

ksp

Step-by-step explanation:

Answer:

a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population

Step-by-step explanation:

a. The first female had 4 pups.

If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.

b. 1st generation                        =     1 pup

2nd generation = 4 ×  1 pup      =    4 pups

3rd generation  = 4 ×  4 pups    =  16 pups

4th generation  = 4 × 16 pups    = 64 pups

5th generation  = 4 × 64 pups = 256 pups

The sequence is           1,   4, 16, 64, 256, …

We can also write it as 4⁰, 4¹, 4²,  4³,   4⁴, …

Note that the exponent is one less than the number of the generation.

Thus, the general formula for the nth term, aₙ, is

aₙ = 4ⁿ⁻¹, where

n = the number of the generation

a = the number of pups in that generation.

c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion

The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.

There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,

Answer:

1,1.1,1.25,1.5,1.7,9

The probability that the apple price is less than or equal to $5.99 per lb is 0.5

The average price of apples = $5.99 per lb

The standard deviation of the apples = $2.99 per lb

The probability that the apple price is less than or equal to $5.99 per lb can be calculated using the normal distribution method

P(x ≤ 5.99)

The standard form of the given random sample can be found using the formula,

Z = (X - μ) ÷ σ

where Z is the standard score

X is the random sample

μ is the mean

σ is the standard deviation.

For x - 5.99,

Z = (5.99 - 5.99) ÷ 2.99

= 0 ÷ 2.99

Z  = 0

Therefore, by standardizing the random sample, we get

P(x ≤ 5.99) = P( z ≤ 0)

By using the z-table, we get the value of z

P(z ≤ 0) = 0.5

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Answer:

The answer tot he question provided is 25.

The factored form of an equation is done by rewriting the equation in simpler forms.

The completely factored form of \(x^3 - 64x\) is \(x(x-8)(x + 8)\)

The expression is given as:

\(x^3 - 64x\)

Factor out x from the expression, \(x^3 - 64x\)

\(x^3 - 64x = x(x^2-64)\)

Express 64 as 8^2

\(x^3 - 64x = x(x^2-8^2)\)

Express the expression as a difference of two squares

\(x^3 - 64x = x(x-8)(x + 8)\)

Hence, the completely factored form of \(x^3 - 64x\) is \(x(x-8)(x + 8)\)

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The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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Answer:

Step-by-step explanation:

43

I dont exactly know if this is correct sorry if its wrong

Answer:

The answer is 32

Step-by-step explanation:

First (6-2)= 4

Second 4+4= 8

Third 2+12+16= 30

and lastly 38-6= 32

HOPE THIS HELPED!

\(\huge\text{Hey there!}\)

\(\large\text{Do PEMDAS}\)

\(\large\text{Parentheses}\)

\(\large\text{Exponents}\)

\(\large\text{Multiplication}\)

\(\large\text{Division}\)

\(\large\text{Addition}\)

\(\large\text{Subtraction}\)

\(\large\text{6 - 2 + 4}\times\large\text{2}\)

\(\large\text{6 - 2 = 4}\)

\(\large\text{4 + 4}\times\large\text{2}\)

\(\large\text{4}\times\large\text{2 = 8}\)

\(\large\text{4 + 8 = 12}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf 12}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

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The five-number summary for the given data set is: Minimum: 19.5, Q1: 51.4, Q2 (Median): 54.5, Q3: 56.6, Maximum: 58.3

To calculate the five-number summary for the given data set, we need to find the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum.

1. Arrange the data in ascending order:

19.5, 23.2, 50.1, 52.7, 52.9, 54.5, 55.6, 55.6, 57.6, 58.3, 58.3

2. Obtain the minimum:

The minimum value is 19.5.

3. Obtain Q1 (the first quartile):

Q1 is the median of the lower half of the data set.

In this case, we have 11 data points, so the lower half consists of the first 5 data points:

19.5, 23.2, 50.1, 52.7, 52.9

To obtain Q1, we need to calculate the median of these data points:

Q1 = (50.1 + 52.7) / 2 = 51.4

4. Obtain Q2 (the median):

Q2 is the median of the entire data set.

In this case, we have 11 data points, so the median is the middle value:

Q2 = 54.5

5. Obtain Q3 (the third quartile):

Q3 is the median of the upper half of the data set.

In this case, we have 11 data points, so the upper half consists of the last 5 data points:

55.6, 55.6, 57.6, 58.3, 58.3

To obtain Q3, we need to calculate the median of these data points:

Q3 = (55.6 + 57.6) / 2 = 56.6

6. Obtain the maximum:

The maximum value is 58.3.

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Answer:

Step-by-step explanation:

1. We know r and p are not the hypotenuse since sin can't be used on an angle where the opposite side is a hypotenuse. This means that q is the hypotenuse. If we use the known side length r, we can use the equation

sin(r) = r/q ; 0.8 = 16/q ; q = 16/0.8 ; q = 20

Now that we know q is equal to 20, we can use that in finding p:

sin(p) = p/q ; 0.3 = p/20 ; p = 20(0.3) ; p = 6. This is the length of p.

2. To find b, we can use sine. First we need m<A, which is 97. 180 - (45 + 38) = 97. Clearly a=30 is the hypotenuse, since A is the greatest angle.

sin(B) = b/a ; sin(38) = b/30 ; b = 30(sin(38)) ; b = 18.47

3. Like the first question, we know r and p are not the hypotenuse. This means using r will be necessary again.

sin(R) = r/q ; 0.8 = 10/q ; q = 10/0.8 ; q = 12.5

Now we use sin P again:

sin(P) = p/q ; 0.4 = p/12.5 ; p = 12.5(0.4) ; p = 5.

4. sin(B) = b/a ; sin(42) = b/22 ; b = 22(sin(42)) ; b = 14.7

5. tan(Θ) = t/r ; Θ = tan^-1(30/38) ; Θ = 38 degrees

6. sin(R) = r/q ; 0.9 = 20/q ; q = 20/0.9 ; q = 22.22

sin(P) = p/q ; 0.6 = p/22.22 ; p = 22.22(0.6) = 13.33

7. sin(B) = b/a ; sin(32) = b/22 ; b = 22(sin(32)) ; b = 11.7

8. sin(R) = r/q ; 0.8 = 22/q ; q = 22/0.8 ; q = 27.5

sin(P) = p/q ; 0.9 = p/27.5 ; 27.5(0.9) ; p = 24.75

Use the Divergence Theorem to compute the net outward flux of the following field across the given surface.  The answer is net outward flux is Flux = -4 * 8 = -32..

To apply the Divergence Theorem, we need to compute the divergence of the given vector field F. The divergence of a vector field F = (P, Q, R) is defined as div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z.

In this case, F = (3y - 3x, 2z - y, 5y - 2x), so we find the partial derivatives:

∂P/∂x = -3

∂Q/∂y = -1

∂R/∂z = 0

Therefore, the divergence of F is: div(F) = -3 - 1 + 0 = -4.

Now, according to the Divergence Theorem, the net outward flux of a  vector field across a closed surface S is equal to the triple integral of the divergence of F over the volume V enclosed by S. Since S consists of the faces of a cube, the volume V is the interior of the cube.

The divergence theorem states that the net outward flux across S is equal to the triple integral of div(F) over V, which in this case simplifies to:

Flux = ∭_V -4 dV

     = -4 * Volume of V

Since the cube has side length 2, the volume of V is 2^3 = 8. Therefore, the net outward flux is Flux = -4 * 8 = -32.

The negative sign indicates that the flux is inward rather than outward.

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Answer:

803.84 feet squared

Step-by-step explanation:

A=pi*r^2

16^2=256

256*pi=803.84

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

When data records are not in any desired sequence for processing or viewing the appropriate task is to sort the contents in different fields.

Depending on the method employed, the data collection process may include several stages. Here are a couple such examples:

Data generation is the process of discovering and organizing facts in an orderly manner. This could be a manually generated document or data gathered from a source and easily fed into a computer using a data capture device such as a barcode scanner.

Data preparation is the process of converting data from a source document to a machine-readable format. This may not apply to all input devices. Data obtained by devices that take data directly in digital form do not require transcription.

Data transmission will determine whether or not data must be delivered to the central server using communication means.

Manual labor is time-consuming and dull, especially when doing repetitive tasks. Mechanical devices were developed to help in the automation of manual tasks. Typewriters, printing presses, and weaving looms are examples of mechanical devices. Initially, these devices were devoid of electronic intelligence.

Scientists have spent a long time investigating methods to build devices or technologies that would stimulate some type of human intellect during information and data processing. This was made feasible in part by the development of electronic programmable devices such as computers.

The development of microprocessor technology substantially boosted the efficiency and capability of data processing. Examples include computers, cellular (mobile) phones, calculators, petroleum pumps, modern television sets, washing machines, and other microprocessor-controlled devices.

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