if the point (-1,-5) is reflected across the x - axis, what is the new location of the point

The equation that represent a linear function is  y = x + 7.

A linear function is a function that represents a straight line on the coordinate plane. In a simpler term linear function represent a straight line graph.

Linear function can be represented in slope intercept form as follows;

y = mx + b

where

Therefore, the equation that represents linear function is y = x + 7.

Where

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Answer:

\((g/f)(x) = \frac{g(x)}{f(x)} = \frac{ {x}^{2} - 5 }{4x + 1} \)

I hope I helped you^_^

According to the calculation used to compute it, \(3\frac{1}{3}\) liters of water are required to water all the indoor plants.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. An expression in mathematics is a combination of digits and operations. A mathematical expression that performs an operation has the following components: Operations and Operands

The amount of water needed to water all the indoor plants is 1/3 liter, according to the calculation used to determine this.

\(= 4/3 / 2/5\\ = 4/3 X 5/2\\ = 3\frac{1}{3}\)

Consequently, 3 1/3 liters are needed.

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Given in the scenario:

a.) Marjorie bought 24 bottles of juice.

b.) Each day she opens and drinks 2 of these bottles of juice.

The inequality that represents the greatest number of days she can continue before she has to replenish her stock is:

Marjorie has to replenish her stock when it is lesse

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:

18

Step-by-step explanation:

18 can be divided by 18 =1

54 divided by 18 = 3

The greatest common factor of numbers 18 and 54 is,

⇒ GCD = 18

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

We have to given that;

To find the greatest common factor of 18 and 54.

Now, We know that;

Greatest common factor of numbers are that highest number which divides exactly into two more numbers,  

Here, The numbers are,

⇒ 18 , 54

⇒ 18 = 18

⇒ 54 = 18 × 3

Hence, The greatest common factor of numbers 18 and 54 is,

⇒ GCD = 18

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Since tan m = 1/2 and tan n = -6, the precise value of tan (m+n) will be 3.51.

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle. The law of tangent is another name for tan. The ratio of a triangle's opposing side to its adjacent side is known as the tangent formula for a right-angled triangle. The angle's sine to cosine ratio can also be used to represent the angle.

Here,

tan m= 1/2

tan n= -6

m=tan inverse(1/2)

n=tan inverse(-6)

m=26.565 degrees

n= -80.537 degrees

n=360-80.537

n=279.463 degree

tan (m+n)=tan(26.565+279.463)

tan 306.028=3.51

The exact value of tan (m+n) will be 3.51 as the value of tan m= 1/2 and tan n= -6.

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20+3(3y-4x)

if x=4 y=6

20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26

answer: 26.

Step-by-step explanation:

the right side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

the left side of the diagram

9^2 + x^2 = 24^2

81 + x^2 = 576

x^2 = 576 + 81

x^2 = 657

x=√657

Answer:  1.95

Step-by-step explanation:

Luis is Harry's height minus 0.25m, which means Harry is Luis' height plus 0.25m.

Luis + 0.25 = Harry

1.7 + 0.25 = 1.95 m

Answer:

a: 0

b: 1,3

c: 2

Step-by-step explanation:

a: 4 is the y intercept meaning 0 is the number of seconds when the ball is 4 feet in the air

b: to easily find this, we can graph.

1st screenshot is for B.

We see that y=52 intersects twice with the graph, meaning the ball was at 52 feet twice. the times are 1 second and 3 seconds

a: we graph again, but with y=68 we see that it only intersects once. at x=2.

Answer: 17.5

Step-by-step explanation: If the question is (35/6) * 3. Then it is 17.5

\(\frac{35}{6}*\frac{3}{1} = \frac{105}{6} = \frac{35}{2}\)

which is 17.5 in decimal form

Answer:

11 1/2

Step-by-step explanation:

3 5/6x 3

multiply 3 by the denominator then add 5

so 3x6=18/6+5/6= 23/6 x 3

so 23/6 x 3/1 = 69/6

simplify 69/6 = 11 3/6 or 11 1/2

The expression (x + 1)(x - 3) represents the Area of base of the prism.

a crystal is a polyhedron containing a n-sided polygon base, a respectable halfway point which is a deciphered duplicate of the first, and n different countenances, fundamentally all parallelograms, joining relating sides of the two bases. Translations of the bases exist in every cross-section that runs parallel to the bases.

The volume of a rectangular prism is given by the formula V = Bh, where B is the area of the base and h is the height of the prism. In this case, the base is a square with edge length (x + 1), so its area is (x + 1)^2. The volume of the prism is given as (x + 1)^2(x - 3).

We can find the height of the prism by dividing the volume by the area of the base:

B = V/h = (x + 1)^2(x - 3)/(x + 1) = (x + 1)(x - 3)

Therefore, the expression (x + 1)(x - 3) represents the Area of base of the prism.

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Answer:

Increasing on (-∞,-1) , (2,∞)

∞ means infinity btw

The equation for the value of the bicycle is v(x) = 240 x (0.4)^x.

We have,

The value of the bicycle depreciates by 60% each year, which means that after each year, the value of the bike will be 40% of its previous year's value.

Let's say the initial value of the bike is $240, then we can write:

After one year, the value of the bike will be 40% of $240, which is:

= 0.4 x 240

= $96

After two years, the value of the bike will be 40% of $96, which is:

= 0.4 x 96

= $38.40

After three years, the value of the bike will be 40% of $38.40, which is:

= 0.4 x 38.40

= $15.36

We can see that the value of the bike is decreasing every year by 60% or multiplying by 0.4.

So, we can express the value of the bike after x years as:

v(x) = 240 x (0.4)^x

where x is the number of years since the bike was bought.

Therefore,

The equation for v(x) is v(x) = 240 x (0.4)^x.

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The w⊥ is the trivial subspace, consisting only of the zero vector.

To find a basis for the subspace w⊥, we need to find the vectors that are orthogonal to all vectors in w, which is the subspace spanned by the given vectors.

First, we need to find a basis for w. We can do this by putting the given vectors into a matrix and reducing it to row echelon form.

\(\begin{pmatrix}-4 & -4 & -12 & -4 \ 2 & 2 & 6 & 2 \ 6 & -12 & 18 & 12\end{pmatrix} $\to$\)

\(\begin{pmatrix}2 & 2 & 6 & 2 \ 0 & -8 & -24 & -8 \ 0 & 0 & 0 & 0\end{pmatrix}\)

The row echelon form shows that the first two vectors are linearly independent, so we can take them as a basis for w:

w1 = [-4, -4, -12, -4] and w2 = [2, 2, 6, 2]

Next, we need to find the vectors that are orthogonal to both w1 and w2. To do this, we can set up a system of equations:

a(-4,-4,-12,-4) + b(2,2,6,2) + c(0,0,0,0) = (0,0,0,0)

Simplifying the equation, we get:

-4a + 2b = 0

-4a + 2b = 0

-12a + 6b = 0

-4a + 2b = 0

We can see that the first two rows are identical, so we only need to use the first two rows to find a basis for w⊥.

Solving the first two equations, we get:

a = b/2

Substituting this into the third equation, we get:

-12(b/2) + 6b = 0

-6b + 6b = 0

b = 0

So a = 0 as well. This means that the only vector that is orthogonal to both w1 and w2 is the zero vector, which is not a valid basis vector.

Therefore, w⊥ is the trivial subspace, consisting only of the zero vector.

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The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Answer:

Part A

Eagle = 6 lbs * 60%

           = 6 * 0.6

           = 3.6 pounds

Bear = 105 lbs * 25%

         = 105 * 0.25

         = 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

                             = 10/105 * 100

                             = 9.52%

In order to find the price increase multiply by 1 and add the 7%,

then, apply the same to subtract the 7%

we are given a ring homomorphism f: R → R' between commutative rings R and R'. We need to show that if P is a prime ideal of R' and f^(-1)(P) ≠ R, then the ideal f^(-1)(P) is a prime ideal of R.

To prove this, we first note that f^(-1)(P) is an ideal of R since it is the preimage of an ideal under a ring homomorphism. We need to show two properties of this ideal: (1) it is non-empty, and (2) it is closed under multiplication.

Since f^(-1)(P) ≠ R, there exists an element a in R such that f(a) is not in P. This means that a is in f^(-1)(P), satisfying the non-empty property.

Now, let x and y be elements in R such that their product xy is in f^(-1)(P). We want to show that at least one of x or y is in f^(-1)(P). Since xy is in f^(-1)(P), we have f(xy) = f(x)f(y) in P. Since P is a prime ideal, this implies that either f(x) or f(y) is in P.

Without loss of generality, assume f(x) is in P. Then, x is in f^(-1)(P), satisfying the closure under multiplication property.

Hence, we have shown that f^(-1)(P) is a prime ideal of R, as desired.

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The number of people who received fewer than 100 spam messages in the university department is calculated below:

Total number of messages tagged as spam = 6693

Total number of people = 12

Total number of people who received more than 100 spam messages = 11

Number of people who received fewer than 100 spam messages = 1

The number of people who received fewer than 100 spam messages can be calculated by subtracting the total number of people who received more than 100 spam messages from the total number of people in the department.

Thus, the other 1 person received a total of: 6693 - (1818 + 1358 + 442 + 416 + 399 + 389 + 304 + 251 + 251 + 178 + 158 + 103) = 474

Graph illustrating the data collected from students and faculty in the department. it is clear that the majority of students and faculty members in the department received more than 100 spam messages. One person received fewer than 100 spam messages. The number of spam messages received seems to decrease with time, which may indicate that the spam filter is effective.

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Answer:

y= 2/3x + 2

Step-by-step explanation:

Answer:

the bottom right one

Step-by-step explanation:

it does not overlap so it is a function. What you can do is drag a pencil over it and if there are not 2 lines touching the pencil thebwhole waybit is a function

Since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

If every term of the sequence is either greater than or equal to (≥) some number M or less than or equal to (≤) some number N (finite numbers), then the sequence is said to be bounded.

Otherwise, the sequence is said to be unbounded. And, if a sequence has a convergent subsequence, then the sequence is called bounded.

Let’s look at the example to answer the question.

Example of an unbounded sequence that has a convergent subsequence:

Let {an} = 1, 2, 3, 4, 5, 6, 7, …It is an unbounded sequence since there is no number that can be defined as M or N, that will make every term of the sequence less than or equal to (≤) or greater than or equal to (≥) this number (M or N).

However, {an} = 1, 2, 3, 4, 5, 6, 7, … has a convergent subsequence which is {an} = 1, 2, 3, 4, 5, 6, 7, … itself.

And, since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

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(a) The average number of potential customers entering the system each hour is 2.5 customers per hour.

(b) The probability that the server will be busy is equal to the utilization factor, which is 0.67.

a) The average number of potential customers entering the system each hour can be calculated using Little's law, which states that the long-term average number of customers in a stable system is equal to the long-term average arrival rate multiplied by the long-term average time a customer spends in the system.

In this case, the arrival rate is 3 customers per hour, and the average time a customer spends in the system is equal to the average time between arrivals plus the average service time, which is 1/3 + 1/2 = 5/6 hour.

Therefore, the average number of potential customers entering the system each hour is 3 x 5/6 = 2.5 customers per hour.

b) The probability that the server will be busy can be calculated using the formula for the utilization factor, which is equal to the long-term average service rate divided by the system capacity.

In this case, the service rate is 2 customers per hour, and the system capacity is 3 customers. Therefore, the utilization factor is 2/3 = 0.67. The probability that the server will be busy is equal to the utilization factor, which is 0.67.

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Answer:

the answer is C.

Step-by-step explanation:

equals to 125

Answer:

X is equal to 125

Step-by-step explanation:

The lines that are shown are called vertical angles. Vertical angles are when two lines intercept and if one side is 125 degrees, then the other side of the veritcal angle is too. I'm not too good at explaining but I hope it helped:)

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = \(2\pi rh\)

Now, if  radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height  will be  \(H=\dfrac{1}{2}\)

Now, new surface area = \(2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh\)

Ratio of curved surface areas : \(\dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}\)

Hence, the ratios of their surface areas = 1:1 .

Answer:

the answer is -1

Step-by-step explanation:

-2.1 - (-1) = -1.1