perce. A = {x: x is letter of the word 'read'}, B = {x: x is letter of the word 'dear'}. Which one is this? ​

a.

The equation to graph the left side of the letter "V" is y = -3x - 6.

b.  The points for the right side are then (-4, -6) and (0, 6).

c. The equation to graph the right side of the letter "V" is y = 3x + 6.

a.

The slope-intercept form of a linear equation is  y = mx + b.

The  points (-4, 6) and (0, -6):

m = (change in y) / (change in x)

= (-6 - 6) / (0 - (-4))

= -12 / 4

= -3

the y-intercept (b):

6 = -3(-4) + b

6 = 12 + b

b = 6 - 12

b = -6

b.

We will use the points (-4, 6) and (0, -6) and reverse the sign of the y-values. The points for the right side will be  (-4, -6) and (0, 6).

c.

We find slope (m) using the points (-4, -6) and (0, 6):

m = (change in y) / (change in x)

= (6 - (-6)) / (0 - (-4))

= 12 / 4

= 3

The y-intercept (b):

-6 = 3(-4) + b

-6 = -12 + b

b = -6 + 12

b = 6

Learn more about y-intercept at:

https://brainly.com/question/25722412

#SPJ1

The total number of throws will be equal to 16.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The total number of throws will be calculated by adding all the throws,
Total throws = ( 3 / 5 ) + 15 + ( 2 / 5)

Total throws = ( 3 + 75 + 2) / 5

Total throws = 80 / 5

Total throws = 16

Therefore, the total number of throws will be equal to 16.

To know more about an expression follow

https://brainly.com/question/410041

#SPJ1

The probability of the random variable assuming a value within some given interval from x1 to x2 is defined to be the area under the graph of the probability density function between x1 and x2.

A probability density function, also known as the density of a continuous random variable, is a function that, in the context of probability theory, can be read as expressing the relative possibility that the value of the random variable would be close to any given sample in the sample space.

In probability theory, the probability that a random variable will fall into a specific range of values rather than taking on a single value is defined by a probability density function (PDF). The function explains the existence of mean and deviation as well as the probability density function of a normal distribution.

Learn more about probability density function here

https://brainly.com/question/24756209

#SPJ4

If we use the ordered pair (5, -2), then we have:

5 - 4*(-2) ≥ −5

5 + 8 ≥ −5

13 ≥ −5

This is true, so the ordered pair (5, -2) is a solution.

An ordered pair will be a solution of an inequality only if it makes the statement true.

In this case, it means that the left side is equal or larger than the right side.

So, what we need to do is evaluate the given points in the inequality, and see which one makes the inequality true.

If we use the ordered pair (5, -2), then we have:

5 - 4*(-2) ≥ −5

5 + 8 ≥ −5

13 ≥ −5

This is true, so the ordered pair (5, -2) is a solution.

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Answer: (5,1) and (4, -2)

Step-by-step explanation:

I had the same quiz with this question. :)

Answer:

c

Step-by-step explanation:

Answer:

got u hommie -x-5

Step-by-step explanation:

graphed it on desmos

Answer: I hope this helps.

Step-by-step explanation:

-( ( 7 - u )( u - 2 ) ) is the factorized form of the polynomial -7u² + 12u + 4, using the AC method.

Given the polynomial in the question;

-7u² + 12u + 4

Factor out -1 out of the polynomial

-1( 7u² - 12u - 4 )

Compare to the form ax² + bx + c

To factor, compare to the form ax² + bx + c and rewrite the middle term as a sum of two terms whose product is;

a × c = 7 × -4 = -28

and whose sum is;

b = -12

Now, factor -12 out of -12x

-1( 7u² - 12(u) - 4 )

We know that -13 is the same as 2 plus -14

-1( 7u² - ( 2 - 14 )u - 4 )

Apply distributive property

-1( 7u² - 2u - 14u - 4 )

Group the terms

-1( u(7u - 2) - 2(7u - 2 ) )

-1( (7-u)(u-2) )

-( (7-u)(u-2) )

Therefore, the factorized form of the polynomial is -( ( 7 - u )( u - 2 ) ).

Learn more about the AC method of factorizing here: brainly.com/question/15386738

#SPJ1

-(7u+2)(u-2) is the factorized form of expression -7u²+12u+4.

An expression is combination of variables, numbers and operators.

The given expression is -7u²+12u+4.

We need to find the factors of this expression.

-7u²+12u+4.

This can be written as

-7u^2+14u-2u+4.

Take 7u from first two terms and 2 from last two terms in the expression.

-7u(u-2)-2(u-2)

(-7u-2)(u-2)

-(7u+2)(u-2)

Hence -(7u+2)(u-2) is the factorized form of -7u^2+12u+4.

To learn more on Expressions click:

https://brainly.com/question/11522665

#SPJ1

Answer:

C

Step-by-step explanation:

is the correct information

Answer:

  (A)  -4 ≤ x

Step-by-step explanation:

You want the number line graph that shows the solution to -2x +6 ≤ 14.

The inequality symbol used in the problem is ≤. The "or equal to" portion of this symbol tells you that the dot on the graph will be a solid dot, not an open circle. (Eliminates choices C and D.)

When 2x is added to both sides of the equation, you have ...

  6 ≤ 14 +2x

The direction of the inequality symbol tells you that larger values of x will be in the solution set. (Eliminates choice B.)

The only feasible graph is that of choice A.

If you divide the last inequality above by 2, you get ...

  3 ≤ 7 +x

Subtracting 7 makes it ...

  -4 ≤ x

The graph of this is a solid dot at x=-4, and shading to the right, choice A.

__

Additional comment

If you write the inequality with using a left-pointing inequality symbol:

  -4 ≤ x

then the relative positions of the number and the variable tell you where the shading is in relation to the number. Here, the variable is on the right, so the shading (values of x) will be to the right of the number.

<95141404393>

Answer:

it will grow by 1.44 people

Step-by-step explanation:

The mean is said to be an arithmetic mean. The mean of the snowfall is 17.9 inches then the correct option is C.

Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics. It is the ratio of the sum of the observation to the total number of observations.

A town's yearly snowfall in inches over a 10-year period is recorded in this table.

Year          Snowfall in inches

1997                      15

1998                      11

1999                      18

2000                     25

2001                       13

2002                     20

2003                      16

2004                     28

2005                     15

2006                      18

Then the mean will be

\(\rm Mean = \dfrac{15+11+18+25+13+20+16+28+15+18}{10}\\\\Mean = \dfrac{179}{10}\\\\Mean = 17.9\)

More about the mean link is given below.

https://brainly.com/question/521501

Answer:

C

Step-by-step explanation:

17.9

Answer:

The value of x is 6

Step-by-step explanation:

The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side

∵ The perimeter of an equilateral triangle is 63 inches

∴ P = 63 inches

→ By using the rule of the perimeter above

∵ P = 3 × S

→ Equate the right sides of P

∴ 3 × S = 63

→ Divide both sides by 3

∴ S = 21 inches

∴ The length of each side is 21 inches

∵ The length of each side is (4x - 3)

→ Equate (4x - 3) by the length of each side

∴ 4x - 3 = 21

→ Add 3 to both sides

∵ 4x - 3 + 3 = 21 + 3

∴ 4x = 24

→ Divide both sides by 4 to find x

∴ x = 6

∴ The value of x is 6

Answer:

2.37

Step-by-step explanation:

The probability of winning the New York State Numbers Lottery is 1 in 1000.

When you pay for a ticket, you pick a number between 000 and 999. If your number is drawn, you win $500, meaning you made a profit of $490. If you don't win, you will lose the $1 that you paid for the ticket.

To calculate the probability of winning the New York State Numbers Lottery, you must first consider the total number of possible outcomes. Since you can pick a number between 000 and 999, there are 1000 possible outcomes. This means that your chance of winning is 1 in 1000, or 0.1%.

It is important to remember that the New York State Numbers Lottery is a game of chance, meaning that there is no guarantee of winning.

However, if your number is drawn, you can win up to $500, which is a profit of $490. The odds of winning are 1 in 1000, and if you lose, you will only lose the amount you paid for the ticket.

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11

For the human eye to detect an increase in the SNR of an image, the SNR must be increased by a minimum of approximately 20%. Doubling the NEX/NSA in a pulse sequence yields an increase in SNR by 100%.

SNR (Signal-to-Noise Ratio) is a statistical measure that compares the level of a desired signal to the level of background noise. The higher the SNR, the better the image quality. To increase the SNR of an image, various techniques can be used such as increasing the magnetic field strength, optimizing imaging parameters, increasing the number of excitations (NEX), or decreasing the voxel size.

However, for the human eye to detect an increase in the SNR of an image, the SNR must be increased by a minimum of approximately 20%. This is because the human eye is not as sensitive to low levels of noise as it is to high levels of noise. Therefore, a small increase in SNR may not be noticeable to the human eye.Doubling the NEX/NSA in a pulse sequence yields an increase in SNR by 100%.

This is because NEX (Number of Excitations) or NSA (Number of Signal Averages) is directly proportional to the square root of SNR. Therefore, doubling NEX/NSA would increase SNR by a factor of square root of 2 (approximately 1.4) which is equivalent to a 100% increase in SNR.

To know more about magnetic field visit:

brainly.com/question/14848188

#SPJ11

Answer:

D.

Step-by-step explanation:

all numbers except d are pythagorean triples, hope this helps!!

In order to apply the chain rule, we need a composite function that involves multiple variables and their relationship.

The chain rule allows us to calculate the derivative of a composite function by multiplying the derivative of the outer function with the derivative of the inner function.

However, without an explicit function or equation involving the variables (,,), (=), (=), and (=), it is not possible to determine their partial derivatives using the chain rule.

Additional information or a specific equation relating these variables is required for further analysis.

Learn more about chain rule here:

brainly.com/question/30117847

#SPJ11

Answer:

C. AB = 10.7

Step-by-step explanation:

Let's look through each option.

Option A

❌ AB = 2(AC)

It can't be that since AC isn't equivalent to BC. AC is 5.5 and CB is 5.2

Option B

❌ AB = 11

AB doesn't equal 11. AB equals to AB + AC.

If you put the numbers in, it gets to AB = 5.5 + 5.2.

If you add the numbers up, it would get to AB = 10.7. Since 10.7 is not 11, option B won't work.

Option C

Option C works as shown in Option B.

Option D

none of the above isn't true since option C works.

Hope this helped! If not, please let me know! <3

no it is not equal. its because you are multiplying one by 3 and the other by 2. you have to multiply them by the same number for them to be equal

To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

\(A=\dfrac{1}{2}bh\)

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

\(A=\dfrac{1}{2}bh\)

⇒ Plug in the values given for the base and height:

\(A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2\)

\(A=\dfrac{1}{2}bh\)

⇒ Plug in the values given for the base and height:

\(A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2\)

\(30 mm^2-6mm^2\\=24mm^2\)

The area of the shaded region is \(24mm^2\).

So, the cross product of vectors c and d is cxd = (-8, -4, -4).

To find the cross product of two vectors, we can use the following formula:

a x b = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)

Let's calculate the cross product of vectors a = (-5, -3, 2) and b = (-5, -5, -2):

a x b = ((-3)(-2) - (2)(-5), (2)(-5) - (-5)(-2), (-5)(-5) - (-3)(-2))

Simplifying:

a x b = (6 - (-10), -10 - 10, 25 - 6)

a x b = (16, -20, 19)

So, the cross product of vectors a and b is axb = (16, -20, 19).

Now let's calculate the cross product of vectors c = (-3, 2, -2) and d = (5, -2, -2):

c x d = ((2)(-2) - (-2)(-2), (-2)(5) - (-3)(-2), (-3)(-2) - (2)(5))

Simplifying:

c x d = (-4 - 4, -10 + 6, 6 - 10)

c x d = (-8, -4, -4)

So, the cross product of vectors c and d is cxd = (-8, -4, -4).

To know more about vectors visit:

https://brainly.com/question/30958460

#SPJ11

Answer:  see answers below

Step-by-step explanation:

y = A cos (Bx - C) + D

Given: A = -3, B = π/20, C = 0, D = 5

1) midline (D) ± amplitude (A) = Max & Min

  Max: 5 + 3 = 8

  Min: 5 - 3 = 2

2) Midline (D) is given as 5

3) Period = 2π/B  = 2π/(π/20) = 40

4) Formula is given as: y = -3 cos (π/20)x + 5

5) change the coordinates of y = cos (x) and  as follows:

Note that A = -3, B = π/20, C = 0, D = 5

\(\begin{array}{c|ccc|cl}\underline{\qquad x\qquad}&\underline{\qquad y\qquad}&&\underline{\quad (x+C)/ B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&2&minimum\\\pi/2&0&&10&5&midline\\\pi&-1&&20&8&maximum\\3\pi/2&0&&30&5&midline\\2\pi&1&&40&2&minimum\\\end{array}\)

The test statistic-z or z-score will be 1.635.

What is test statistic-z?

A z-score, also known as a z-statistic, is a number that represents how many standard deviations above or below the mean population a z-test score is. It is essentially a numerical measurement that describes the relationship of a value to the mean of a collection of values. A z-score of 0 implies that the data point's score is the same as the mean score. A z-score of 1.0 indicates that the result is one standard deviation from the mean. Z-scores can be positive or negative, with a positive number indicating that the score is higher than the mean and a negative value indicating that it is lower than the mean.

Let p indicate the proportion of customers who are satisfied.

P=0.64

n=number of customers surveyed =125

x=number of satisfied consumers in the survey=89

p=89/125=0.71

The test statistic-z is calculated using the following formula,

z=(p-P)/√(P(1-P)/n)

=(0.71-0.64)/√0.64(1-0.64)/125

=0.07/√0.00184

=0.07/0.0428

=1.635

The test statistic-z is 1.635

To know more about z-statistic visit the link given below

https://brainly.com/question/22443207?referrer=searchResults

#SPJ4

Sam lives 162 miles away from the mountains.

Let's assume that the distance between Sam’s home and the mountains be x miles. Then, let us use the formula for distance which is:Distance = Speed × TimeFor Sam’s journey to the mountain, we know that he took 7 hours, therefore his speed was:S = D / T = x / 7For his return journey, Sam took 5 hours and he traveled 18 mph faster than he did on the way there; therefore, his speed is:S = (x / 5) + 18

Now we know that the distance he traveled to the mountains and back was the same. Therefore:Distance to the mountains = Distance from the mountainsx = (x / 7) × 2 + [(x / 5) + 18] × 2Then we simplify to get rid of the denominators:10x = 2x + 28x + 180Now we solve for x:8x = 180x = 22.5Therefore the distance between Sam's home and the mountains is 22.5 × 7 = 157.5 miles. However, that is only the distance to the mountain. We need to find the total distance of the round trip which is:Total distance = Distance to the mountains + Distance from the mountainsTotal distance = 157.5 + 157.5Total distance = 315 milesTherefore Sam lives 315 / 2 = 157.5 miles away from the mountains.

To know more about miles visit:-

https://brainly.com/question/12665145

#SPJ11

Answer:

y = -4x + 1

Step-by-step explanation:

Let X be a connected subset of Rn. If E is a subset of Rn such that X ∩ E ≠ ∅ and X ∩ ∂E = ∅, then X is contained in the interior of E, E∘.

The proof is by contradiction. Suppose X is not contained in E∘. Then there exists a point x in X such that x is in the boundary of E(as E is a Subset of Rn), ∂E. This means that there exists a neighborhood N of x such that N ∩ E ≠ ∅ and N ∩ E¯ ≠ ∅. Since X is connected, this means that N must intersect X in more than just the point x. But this contradicts the fact that  X ∩ ∂E = ∅.

Therefore, X must be contained in E∘.

Learn more about Subset here

https://brainly.com/question/31739353

#SPJ11

The every point x ∈ X has an open ball centered at x that is entirely contained within E.

The X ⊂ E∘, i.e., every point in X is an interior point of E.

To prove that X ⊂ E∘, we need to show that every point in X is an interior point of E, i.e., there exists an open ball centered at each point in X that is entirely contained within E.

Given that X is a connected subset of ℝⁿ, we know that X cannot be divided into two disjoint nonempty open sets.

This implies that every point in X is either an interior point of E or a boundary point of E.

We are given that X ∩ E ≠ ∅, which means there exists at least one point in X that belongs to E. Let's denote this point as x₀.

If x₀ ∈ X ∩ E, then x₀ is an interior point of E, and there exists an open ball B(x₀, r) centered at x₀ such that B(x₀, r) ⊂ E. Here, B(x₀, r) represents an open ball of radius r centered at x₀.

Now, let's consider an arbitrary point x ∈ X. Since X is connected, there exists a continuous curve γ : [a, b] → X such that γ(a) = x₀ and γ(b) = x. In other words, we can find a continuous path connecting x₀ and x within X.

Since γ([a, b]) is a compact interval, it is a closed and bounded subset of ℝⁿ. Therefore, by the Heine-Borel theorem, γ([a, b]) is also a closed and bounded subset of E.

Since X ∩ ∂E = ∅, the curve γ([a, b]) does not intersect the boundary of E. This means that γ([a, b]) ⊂ E.

Now, consider the continuous function f : [a, b] → ℝ defined by f(t) = ||γ(t) - x₀||, where ||·|| represents the Euclidean norm. Since f is continuous and [a, b] is a closed interval, f attains its minimum value on [a, b].

Let t₀ be the value in [a, b] at which f attains its minimum, i.e., f(t₀) = ||γ(t₀) - x₀|| is the minimum distance between γ(t₀) and x₀.

Since γ(t₀) is a point on the continuous curve γ and γ([a, b]) ⊂ E, we have γ(t₀) ∈ E. Moreover, since x₀ is an interior point of E, there exists an open ball B(x₀, r) centered at x₀ such that B(x₀, r) ⊂ E.

Considering the point γ(t₀) on the curve γ, we can find an open ball B(γ(t₀), ε) centered at γ(t₀) within γ([a, b]) that lies entirely within B(x₀, r). Here, ε > 0 represents the radius of the open ball B(γ(t₀), ε).

Since B(γ(t₀), ε) ⊂ γ([a, b]) ⊂ E and B(γ(t₀), ε) ⊂ B(x₀, r) ⊂ E,

Learn more about Interior point here:

https://brainly.com/question/33613012

#SPJ11

Answer: the first graph

Step-by-step explanation:

vertical intercept (0,3)

slope m=1, b=3

The value of sec θ is -5/3 ,and  the value of cot θ is 3/4 in the unit circle.

Given:

The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.

here x = -3/5 and y = -4/5

radius r = \(\sqrt{(-3/5)^{2}+(-4/5)^{2} }\)

= \(\sqrt{9/25 + 16/25}\)

r = 1.(which is hypotenuse in unit circle).

sec θ = hypotenuse / adjacent

= 1/-3/5

sec θ = -5/3

cot θ = adjacent / opposite

= -3/5 / -4/5

= 3*5/5*4

= 15/20

cot θ= 3/4

Therefore the value of sec θ is -5/3 ,and  the value of cot θ is 3/4.

Learn more about the quadrant and unit circle here:

https://brainly.com/question/10434937

#SPJ1