Match the absolute value expression to its correct distance from zero on the number line.
|-7.11
Distance from 0 on number line: 6.9
12.7 +4.21
Distance from 0 on number line: 7.1
14-91
Distance from 0 on number line: 5
|-3.1 + 8.81
Distance from 0 on number line: 5.7

Answer:

8 ramen bowls

4 pho bowls

Step-by-step explanation:

12-4=8

The measurements of the home screens are:

The aspect ratio of all three screens is 16:9. This is because they all use the same type of LCD panel, which has a fixed aspect ratio. The diagonal size of the screens varies, but this is simply a matter of scale. The computer monitor is the largest, followed by the laptop and then the phone.

The three screens are not similar because they have different sizes. However, they are all congruent in shape. This is because they all have the same aspect ratio. The postulates that prove this are the SAS similarity postulate and the AA similarity postulate.

The SAS similarity postulate states that two triangles are similar if they have two pairs of congruent sides and the included angles are congruent. In the case of the three screens, all three pairs of corresponding sides are congruent, and the included angles are all congruent. Therefore, the three screens are similar.

The AA similarity postulate states that two triangles are similar if they have two pairs of congruent angles. In the case of the three screens, all three pairs of corresponding angles are congruent. Therefore, the three screens are similar.

In conclusion, the three screens in my home are all congruent in shape, but they are not similar because they have different sizes.

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Answer:

-6

Step-by-step explanation:

this is in y=mx+b form, where m is the slope ! so m is -6

Answer:

n=6561/1451

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

2.094= hummingbird

176= elephant

176-2.094= 173.906

approximately it will be 60

60 is closer to 173.906 than 600.

Answer:

The answer is B: 0.088

Step-by-step explanation:

22/25, multiply both sides by 4 to get 88/100

88% is 88/100

0.88 is 88/10

Answer:

1. 2.5 miles/hour

2. 24 minutes

Step-by-step explanation:

1. 5/6 of mile in 1/3 of an hour. In 1 hour, Bianca can walk 5/6 x 3 = 15/6 miles or 2.5 miles/hour

2. 5/6 of mile in 1/3 of an hour, hour in 1 mile = (1 x 1/3)/(5/6) = 2/5 = 0.4 hour = 24 minutes

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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After analyzing, it can be concluded that the functions f and g are:

A. f(0) is larger than g(0).

B. f(3) is larger than g(3).

To determine which of the two functions is larger at any given point, one must compare the heights of the two functions at the same point on the x-axis. At point x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0).

Similarly, at point x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3).

To compare which of two functions is larger at any given point, we need to compare the heights of the two functions at the same point on the x-axis. For example, at x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0). The same comparison can be made at any other point on the x-axis.

For example, at x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3). This comparison can be done for any point on the x-axis, which will allow us to determine which of the two functions is larger at any given point.

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The range of the function is {0.01, 0.1, 1, 10, 100}. With an increase in the value of the domain, the range of the function is increasing.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given function is

f(x) = 10^x.

Given domain is {-2, -1, 0, 1, 2}.

Now putting x = -2, -1, 0, 1, 2 in the function f(x) = 10^x.

When x = -2:

f(-2) = 10^(-2)

f(-2) = 0.01.

When x = -1:

f(-1) = 10^(-1)

f(-1) = 0.1.

When x = 0:

f(0) = 10^(0)

f(0) = 1.

When x = 1:

f(1) = 10^(1)

f(1) = 10

When x = 2:

f(2) = 10^(2)

f(2) = 100

The range of the function is {0.01, 0.1, 10, 100}

The values of the range increase with the increase of domain.

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Answer:

10.01

Step-by-step explanation:

35% of 28.6

35/100*28.6

1001/100

=10.01

Answer: x < 5 and –6x + 15 < 10

Step-by-step explanation:

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answer:

how can i help also comment me i wanna talk bc im lonely lol

Step-by-step explanation:

The cost of one dog collar and one dog leash are 10.25 dollars and 14.5 dollars respectively

let

the cost of each dog collars = x

the cost of each leashes = y

Therefore,

3x + 2y = 59.75

x + 3y = 53.75

Hence,

3x + 2y = 59.75

3x + 9y = 161.25

7y = 101.5

y = 101.5 / 7

y = 14.5

Therefore,

x + 3y = 53.75

x + 3(14.5) = 53.75

x = 53.75 - 43.5

x = 10.25

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The carbon dioxide that is produced from the vampire energy used by the office computer is 1042.8 kWh.

Based on the information given, the number of hours that the computer is plugged on a day will be:

= 20/7

= 2.857 hours

Therefore, the power consumption in a year will be:

= 2.857 × 365

= 1042.8 kWh

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After using the deductive reasoning the procedure always produces the number 8.

Procedure:

Let the number be x.

We have to add 5 to the number x.

So the expression is x + 5.

We have to multiply the sum by 3.

Now the expression is 3(x + 5).

Now we have to subtract 7.

Now the expression is 3(x + 5) - 7.

Then we have to decrease this difference by the triple of the original number.

The triple of original number is 3x.

Now the expression is {3(x + 5) - 7} - 3x.

Now solving this expression

= {3(x + 5) - 7} - 3x.

First simplify the bracket

= 3x + 15 - 7 - 3x.

= 8

Now we can se that the after following the whole procedure the answer is 8.

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The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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Answer:

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Step-by-step explanation:

For each runner, there are only two possible outcomes. Either they finished the marathon, or they did not. The probability of a runner completing the marathon is independent of any other runner. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

97.4% finished:

This means that 100 - 97.4 = 2.6% = 0.026 did not finish, which means that \(p = 0.026\)

100 runners are chosen at random

This means that \(n = 100\)

Find the probability that at least 5 of them did not finish the marathon

This is:

\(P(X \geq 5) = 1 - P(X < 5)\)

In which

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{100,0}.(0.026)^{0}.(0.974)^{100} = 0.0718\)

\(P(X = 1) = C_{100,1}.(0.026)^{1}.(0.974)^{99} = 0.1916\)

\(P(X = 2) = C_{100,2}.(0.026)^{2}.(0.974)^{98} = 0.2531\)

\(P(X = 3) = C_{100,3}.(0.026)^{3}.(0.974)^{97} = 0.2207\)

\(P(X = 4) = C_{100,4}.(0.026)^{4}.(0.974)^{96} = 0.1429\)

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0718 + 0.1916 + 0.2531 + 0.2207 + 0.1429 = 0.8801\)

\(P(X \geq 5) = 1 - P(X < 5) = 1 - 0.8801 = 0.1199\)

0.1199 = 11.99% probability that at least 5 of them did not finish the marathon

Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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Answer:

Notice that:

Since all reduced fractions are different, the distance traveled by the rabbit and the time are not proportional.

Answer:

It would be 376.

Answer:

well, I don't have the computer in front me with this question on it, but i can explain how you would do it.

all points, or in this case vertices, are written like this : (x , y)

the x-axis is the one that lies flat and the y-axis is the one going up and down.

in this graph, the y-axis and x-axis are more than likely not centered. so where the y-axis intersects the x-axis is known as the origin. you will start at the origin for plotting all points.

to plot point A : start at the origin and count to the left 3, and then down 5 and thats point A

for point B : start at the origin, count left 1 and then down 5, that's point B

point C : start at the origin, count left 1 and then down 1, that's point C

point D : count left 3 and then down 1, that's point D

after plotting the points, you just need to play "connect the dots" and make the shape a rectangle.

Start at point A, go right point B, up to point C, left to point D then down back to point A again

Step-by-step explanation:

I hope this helps :)

Answer: The distance is sqrt(40).

Step-by-step explanation:

Let's use the Pythagorean Theorem (a^2 + b^2 = c^2)

(Look at the image I attached)

Let's set a = 2 and b = 6. The mystery side is c, which is opposite to the right angle that is formed when you draw perpendicular lines from each of the points.

(2)^2 + (6)^2 = c^2 <--- First, we need to simplify

4 + 36 = c^2

40 = c^2 <--- Now, we need to take the square root of both sides.

c = sqrt(40)

So, the distance between (5, -4) and (-1, -2) is sqrt(40). I recommend looking at some videos on Khan Academy if you need more help! Let me know if you want me to attach a link that you can visit.

First, let's define a few varibles.

x = # of miles

y = # of days

z = total cost

Now, let's create our expression

z = $23.95y + $0.33x

Let's plug the numbers from our problem into our equation.

$150 = $23.95(2) + $0.33x

Simplify the right side

$150 = $47.9 + $0.33x

Subtract $47.9 from both sides

$102.1 = $0.33x

Divide both sides by $0.33

309 miles = x

Note, I rounded my answer down to the nearest whole number.

Solution

The length of a rectangle is five times its width.

Let the length be represented by L

Let the width be represented by W

The length of the rectangle is five times the width i.e

To find the perimeter, P, of a rectangle, the formula is

Given that the perimeter, P, of the rectangle is 120ft,

Subsitute for length and width into the formula above

Recall that, the length of the rectangle is

To find the area, A, of a rectangle, the formula is

Substitute the values of the length amd width into the formula above

Hence, the area of the rectangle is 500ft²

In Converse: a positive integer is a prime if it has no divisors besides 1 and itself. A positive integer has other divisors besides 1 and itself if it is not a prime; this is Contrapositive. Inverse: A positive integer is not a prime if it has divisors other than 1 and itself.

The conditional statement reads, "A positive integer is a prime only if it has no divisors other than 1 and itself."

In converse: "a positive integer is a prime if it has no divisors other than 1 and itself." This is not always the case, however, as some composite numbers, like 15, have only themselves and the number one as divisors.

Contrapositive: "If a positive integer is not a prime, then it has divisors other than 1 and itself," is the contrapositive. This is true because a prime number cannot have any divisors than itself and the number 1, which means that any number that is not a prime must have other divisors.

Inverse: "A positive integer has divisors other than 1 and itself is not a prime." This is also true since a prime number is defined as having no divisors besides itself and 1. Hence, any number with divisors other than 1 and itself cannot be a prime number.

The converse, contrapositive, and inverse of a conditional statement are typically not logically identical to the original statement and may or may not be true.

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Answer:

x = -3

y = -4

Step-by-step explanation:

We're given:

Let the first number be x and the second be y.

Translate the given information into equations:

Now, solve using elimination:

- \(2x-4y=10\\\hspace{5} 4x-4y=4\\\rule{60}{0.3}\\-2x=6\)

Solve for x:

\(-2x=6\\x=-3\)

Therefore, the first number is -3.

Now, solve for y using x:

\(2x-4y=10\\2(-3)-4y=10\\-6-4y=10\\-4y=16\\y=-4\)

Therefore, the second number is -4.

Answer:

The answer is (D)

Step-by-step explanation:

If you need to explain I got you but Ill just give the answer for now!

Mark as Brainllest...

Answer:

Step-by-step explanation:

First find the value of x:

Find the value of y:

Correct choice is D

The perimeter of a rectangle can be represented by a polynomial expression. The expression will consist of two terms, one representing the width and one representing the length. Each term will contain a variable, which is to the power of one, multiplied by a coefficient. The sum of the two terms produces the perimeter of the rectangle.

For example, if the width of the rectangle is w and the length is l, then the polynomial expression for the perimeter would be: P = w + l. This expression can also be written in expanded form as: P = w + w + l + l.

By adding more terms to this polynomial expression, the perimeter of more complex rectangles can be found. For example, if the rectangle is not a perfect square, then two additional terms can be added to the polynomial expression. One term will represent the extra width and one term will represent the extra length. By adding these two additional terms, the perimeter of the rectangle can be calculated.

In conclusion, the perimeter of a rectangle can be represented as a polynomial expression, which consists of terms that have variables raised to the power of one and are multiplied by coefficients. By adding more terms to the expression, the perimeter of more complex rectangles can be found.

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