theresa bought a new desktop computer. one side of the desktop screen is 14 inches and the other side is 18 inches. what is the length of the diagonal of the desktop screen? answer choices are rounded to the nearest inch.

Answer: so what you would do is would would take the first number that being -2 and add it to the problem like this y=2(-2)+1 and what you do is you times 2 and x2 which give you -4 then you add 1 which gives you -3 so y = -3

Step-by-step explanation:

Y=2(-2)+1               Y=2(-1)+1

-4+1                           -3+1

-3                                -2

y=2(0)+1                 Y=2(1)+1

0+1                             2+1

0                                 3

y=2(2)+1

4+1

5

Answer:

120.7

Step-by-step explanation:

14.2 x 8.5 = 120.7

Hope that helps!

Answer: 120.7

Step-by-step explanation:  

The probability of rolling two dice and getting a sum of 7 is 1/6.

The probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

Sample space for rolling a pair of dice we have:

=> S {(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)}

n(S) = 36

Let A = sum of numbers is 7 = { (1, 6)(2, 5)(3, 4) (4, 3) (5, 2) (6, 1)}

n(A) = 6

P (Sum of numbers is 7) = n(A) / n(S)

= 6/36 = 1/6

Therefore, the probability of rolling two dice and getting a sum of 7 is 1/6.

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Answer:

(5,-5)

x=5

y=-5

Step-by-step explanation:

How to solve using elimination method.

First, add the two equations.

   2x - 3y = 25

+  5x + 3y = 10

7x=35

The y values got eliminated.

Next, divide 7 from both sides.

7x/7=35/7

x=5

Next, plug-in x=5 into one of the equations.

2(5) - 3y = 25

10-3y=25

Subtract 10 from both sides.

-3y=15

Divide -3 from both sides.

y=-5

Remember a positive divided by a negative is a negative.

Hope this helps!

If not, I am sorry.

Answer:

y=x(t)+y-int

Step-by-step explanation:

Where:

Y= distance

x=speed

t=time

y-int= starting height

If you can post a rate and starting height I can answer part B

Keep in mind if she is traveling down then y-int will be 0<x and the rate will be negative

The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.

Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.

Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.

Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.

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The answer is 142.

The formula used for the nth term of an arithmetic sequence to solve this problem:

a_n = a_1 + (n - 1)d

where a_n is the nth term of the sequence, a_1 is the first term of the sequence, d is the common difference, and n is the number of the term we want to find.

We are given that d = 4 and a_3 = 10. Plugging these values into the formula, we get:

a_3 = a_1 + (3 - 1)4

10 = a_1 + 8

a_1 = 2

Now we can find the 36th term by plugging in n = 36 and the values we have found for a_1 and d:

a_36 = 2 + (36 - 1)4

a_36 = 2 + 140

a_36 = 142

Therefore, the 36th term of the arithmetic sequence is 142.

Step-by-step explanation:

use the negative number -$65 to represent the change in the value of Leon's card

use absolute value to say that his balance will be $65 less

In linear equation, 4 cups of pasta are used per cup of sauce.

What are instances of linear equations?

We have,

3 cups of pasta = 3/4 cup of sauce

We need to make 3/4 cup of sauce as 1 cup of sauce.

Multiply 4/3 on both sides.

4/3 x 3 cups of pasta = 4/3 x 3/4 cup of sauce

4 cups of pasta = 1 cup of sauce

Thus 4 cups of pasta are used per cup of sauce.

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Etta needs to add the source of the information to better arrange these notes.

A note is a place where information about a specific item is recorded for later reference. The main goals of taking notes are to promote active learning and create study materials for tests. You should be able to organise material into an understandable format that will aid in your learning process by developing note-taking skills.

As a result, it is clear from the question that Etta is making notes for the purpose of creating a webpage about healthy eating. Once her notes have been organised with the relevant facts and information, Etta will need to cite her sources.

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The general equation of a given circle is \(x^{2} +y^{2} +2x+6y+9=0\)

Given a plot of the circle in the X-Y plane, The center of circle has the coordinates  ( -1, -1) and the circle is passing through (-1 ,-4) and (-1 ,-2)  and  (-1 ,-4)  , (-1 ,-2)   are coordinates of diametrically opposite ends of circle

If there are two points on a circle (x₁, y₁) and (x₂, y₂) that are at opposite ends of the same diameter, then the circle's equation can be written as

(x-x₁)(x-x₂)+(y-y₁)(y-y₂)=0

Given x₁= -1 , x₂ = -1  ,  y₁= -4 , y₂= -2

The circle's equation can be written as ( x+1)(x+1) + (y+4)(y+2)

⇒\(x^{2} +1+2x+y^{2} +6y+8=0\)

⇒\(x^{2} +y^{2} +2x+6y+9=0\)

Therefore, \(x^{2} +y^{2} +2x+6y+9=0\) is the general equation of circle.

Hence,The general equation of a given circle is \(x^{2} +y^{2} +2x+6y+9=0\)

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The time taken for the cargo to hit the ground will be 0.6 seconds and it travels in the horizontal direction for around 14.69 feet.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

The calculations are attached in images.

To calculate t we will use that is y because at the moment of cargo will have a height 0, so we get,

= −4.9t² +1.75

-1.75=-4.9t²

t²=-1.75/-4.9

t²=√0.3571

=0.6 seconds

Now we will calculate x, then y = 0

because since the cargo will be on the ground it will no have height, so

0= -0.0081x²+1.75

-1.75 =-0.0081x²

x²=-1.75/-0.0081

x= √216.04 = 14.69 feet

It will take the cargo 0.6 seconds to hit the ground, and it will travel 14.69 feet in a horizontal direction.

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Answer:

y=7-x/2

y=-13+x

Step-by-step explanation:

Answer:

x=40/3 2/3

Step-by-step explanation:

Use elimination method for this. To do it, Multiply the x-y=13 by 2. It turns into 2x-2y=26.   We have this

x+2y=14

2x-2y=26

Add because the signs are different for y each equation.

So 3x=40

x=40/3

14-40/3=2/3

y=2/3

x=40/3

Answer:

21

Step-by-step explanation:

2 dozen=24

24-3=21

Answer: I think I cn help bt nt sure

Step-by-step explanation:

X° + 52° + 78° = 180°

X° + 130° = 180°

X° + 130° - 130° = 180° - 130 °

X° = 50°

M is <50°

Answer:

25

Step-by-step explanation:

6+7=13   13+12=25

Answer:

B.

\( \frac{275\pi}{6} {m}^{2} \)

Step-by-step explanation:

\(area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} \)

Answer:

This is a function. Use y=mx+b equation

Step-by-step explanation:

To find the x and y values, simply plug in 0.98 to m. For every pound of peaches, you pay $0.98. The equation would be y=0.98x, where x is the number of pounds of peaches and y is the total cost.

An airline passenger is planning a trip with three connecting flights from airports A, B, and C.

The least total amount of time the passenger must spend between flights, assuming all flights keep to their schedules, is 55 minutes.

This occurs when the passenger takes the first flight from airport A at 8:00 a.m., arriving at airport B at 10:30 a.m., catches the second flight from airport B at 10:40 a.m., arriving at airport C at 11:50 a.m., and then takes the third flight from airport C at 12:45 p.m.

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Answer:

0.25

Step-by-step explanation:

Here, we want to find the constant of proportionality that relates total cost in dollars to number of tickets purchased

Mathematically, that will be ;

7.50/30 = 1/4 = 0.25

Kindly note we can select any pair

The ratio of both at any point in time is constant

The regular expression is ^(a(aa)*b)$.

To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:

^(b|(a(aa)*b))$

Breaking it down:

^ indicates the start of the string.

(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.

(aa)* matches zero or more pairs of 'a's.

$ indicates the end of the string.

This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.

Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.

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With the help of given expression 2n + 1 = 157,  the first number is 78.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and operators that represent a value. It can be a single term, or it can be a combination of terms connected by operators. For example, 2x + 5 is an expression with two terms connected by the operator +. Expressions can also include functions, variables, and constants.

Now,

Let's assume the first number be x=n. Then the next consecutive number will be x+1.

According to the given information, the sum of the two consecutive numbers is 157.

So, we can write the equation as:

x + (x+1) = 157

Simplifying the equation, we get:

2x + 1 = 157

Subtracting 1 from both sides, we get:

2x = 156

Dividing both sides by 2, we get:

x = 78

i.e. n=78

Therefore, the first number is 78.

So, the correct answer is B) 78.

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The value of a is 6 and the value of b is 7

The function is given as:

h(x) = a . sin(x - π/2) + b

From the table of values, we have:

x = π/2 when y = 7

So, we have:

a . sin(π/2 - π/2) + b = 7

Evaluate the difference

a . sin(0) + b = 7

Evaluate the value of sin(0)

a . 0 + b = 7

Evaluate the product of a and 0

b = 7

Substitute b = 7 in h(x) = a . sin(x - π/2) + b

h(x) = a . sin(x - π/2) + 7

From the table of values, we have:

x = π when y = 13

So, we have:

a . sin(π - π/2) + 7 = 13

Evaluate the difference

a . sin(π/2) + 7 = 13

Subtract 7 from both sides

a . sin(π/2)  = 6

Evaluate sin(π/2)

a . 1 = 6

Divide both sides by 1

a = 6

Hence, the value of a is 6 and the value of b is 7

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Answer:

The coordinate of the initial point is given below as

The coordinate of the terminal point is

Concept:

The formula below will be used to calculate a linear form of v

By substituting the values, we will have

Hence,

The final answer is

The FIRST OPTION is the right answer

Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

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Answer:

b

Step-by-step explanation:

Just plug in the x values and see if the y value matches.

For example (10,32) suggests that when x=10, y=32. To see if this is true, plug the values into the line (y=3x+2)

32=10*3+2

32=32 , which means that (10,32) lies on the line

Do this until the values don't match

(8,13)

13=8*3+2

13=24+2

13=26

this obviously isn't true, so this point does not lie on the line

Answer:

The occurrence of one event (e.g., A) precludes the occurrence of the other event (e.g., B), and vice versa.

Step-by-step explanation:

The pair of events A and B, "Your new skateboard design is a success" and "Your new skateboard design is a failure," are mutually exclusive.

This is because the two events cannot occur simultaneously; the design cannot be both a success and a failure at the same time.

Therefore, the occurrence of one event (e.g., A) precludes the occurrence of the other event (e.g., B), and vice versa.

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