What s the solution for |-2n+6|=6

Answer:

10%

Step-by-step explanation:

Sean first thought that his hand was 20 cm so:

20cm

When he measures with a ruler, he gets 18 cm so:

18cm

The equation is really simple, and you basically do:

20/20 - 18/20 = 2/20 = 1/10 = 10%

The equation is:

1- x/y

x equals the new number

y equals the original number

Answer:

4 x 10^7

Step-by-step explanation:

1 x 10^7 is 10 million, just multiply that 1 by 4 to get your answer

Answer:

4 x 10^7

Step-by-step explanation:

Answer:

y= -2x + 7

Step-by-step explanation:

I did the math and the slope was -2 and the y-intercept was 7

Answer: 11/20

Step-by-step explanation: Find the GCD (or HCF) of numerator and denominator

GCD of 55 and 100 is 5

Divide both the numerator and denominator by the GCD

55 ÷ 5

-----------

100 ÷ 5

Reduced fraction:

11

20

Therefore, 55/100 simplified to lowest terms is 11/20.

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

$ 3078.

Step-by-step explanation:

A square yard is 3 feet by 3 feet =  9 square feet

1800 sq ft / 9 sq ft/ sq yard =200 sq yrds

200 sq yds * $  15.39 / sq yd $ 3078.

Answer:

0.75 gallons

Step-by-step explanation:

As the statement indicates that Latrell wants the bedroom ceiling to be 85% blue and 15% white and you know that he needs 4.25 gallons of blue which represents the 85%, you can use a rule of three to find the amount that represents the 15% to know the gallons of white that he needs:

4.25 gallons → 85%

          x         ←  15%

x= (4.25*15)/85

x=0.75

According to this, the answer is that if Latrell needs 4.25 gallons of blue, he needs 0.75 gallons of white.

Answer:

5.5

Step-by-step explanation:

d or DC

Hope this helps!! :)

Answer:

\(m=1\)

Step-by-step explanation:

Slope can be calculated using following formula

\(m=\frac{y_2-y_1}{x_2-x_1}\)  ----------- (1)

Here

\((x_1, y_1)=(1, 1) \ \ and \ \ (x_2, y_2) = (2, 2)\)

Substitute values in equation (1)

\(m=\frac{2-1}{2-1}\)

\(m=1\)

The domain is therefore the point where x > - 1 or x < -1 and the solution to the given equation is x = -1/2 and x = 3

Rational expressions are expressions written as a ratio of two expressions. Given the following expression;

x+3/x-1 + 2x-1/1-x =  x-1/x+1

Find the LCM to have;

(x+3)(1-x)+(2x-1)(x-1)/(x-1)(1-x) = x-1/x+1

x-x^2+3-3x+2x^2-2x-x+1/(x-1)(1-x) =  x-1/x+1

x^2-5x+4/(x-1)(1-x) = x-1/x+1

(x-1)(x-4)/(x-1)(1-x) = x-1/x+1

x-4/1-x = x-1/x+1

Cross multiply to have:

(x-4)(x+1) = (1-x)(x-1)

x^2 + x - 4x - 4 = x -1 - x^2 + x

x^2+x^2-4x-3-x = 0

2x^2-5x-3 = 0

2x^2-6x+x-3 = 0

2x(x-3)+1(x-3) = 0
2x+1= 0and x -3 = 0

x = -1/2 and x = 3

The domain is the value of the independent variable for which the expression exists

The domain is at the point where x > - 1 or x < -1

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A definite integral is said to be improper if one or both of the limits of integration are infinite, or if the integrand function has a vertical asymptote within the interval of integration.

In other words, an improper integral is one that cannot be evaluated using the usual techniques of integration, such as the fundamental theorem of calculus, because it involves infinite limits or a function that is not integrable over the interval.

For example, the definite integral of f(x) = 1/x from 1 to infinity is an improper integral because the upper limit of integration is infinity, which is not a finite number. Similarly, the definite integral of f(x) = ln(x) from 0 to 1 is an improper integral because the lower limit of integration is 0, and the function has a vertical asymptote at x=0.

To evaluate improper integrals, we use limit processes to determine whether the integral converges (has a finite value) or diverges (has an infinite value). If the integral converges, we can find its value by taking the limit of a related integral as one or both of the limits of integration approach infinity or zero.

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Answer:

five miles

Step-by-step explanation:

taxi A: for one mile: 10.75

taxi B: for one mile: 11.75

two miles: A: 12.25 B: 13

three miles: A: 13.75 B: 14.25

four miles: A: 15.25 B: 15.5

five miles: A: 16.75 B: 16.75

Responder:

2,40

Explicación paso a paso:

Dado que:

Dejar :

Tomate = t

Cebolla = n

(2 kilo de t) + (1 kilo de n) = 8.40

(1 kilo de t) + (2 kilo de n) = 7.80

2t + n = 8,40 - - (1)

t + 2n = 7,80 - - (2)

De (2);

t = 7,80 - 2n

Ponga t = 7.80 - 2n en (1)

2 (7,80 - 2n) + n = 8,40

15,6 - 4n + n = 8,40

15,6 - 3n = 8,40

-3n = 8,40 - 15,6

-3n = - 7,2

n = 2,4

t = 7,80 - 2 (2,40)

t = 7,80 - 4,80

t = 3

Por lo tanto, el costo de 1 kilo de cebolla es 2,40

To find the surface area of the part of the plane z = 4 + 3x + 7y that lies inside the cylinder 3x^2 + y^2 = 9, we can use a double integral over the region of the cylinder's projection onto the xy-plane.

The surface area can be calculated using the formula:

Surface Area = ∬R √(1 + (f_x)^2 + (f_y)^2) dA,

where R represents the region of the cylinder's projection onto the xy-plane, f_x and f_y are the partial derivatives of the plane equation with respect to x and y, respectively, and dA represents the area element. In this case, the plane equation is z = 4 + 3x + 7y, so the partial derivatives are:

f_x = 3,

f_y = 7.

The region R is defined by the equation 3x^2 + y^2 = 9, which represents a circular disk centered at the origin with a radius of 3. To evaluate the double integral, we need to use polar coordinates. In polar coordinates, the region R can be described as 0 ≤ r ≤ 3 and 0 ≤ θ ≤ 2π. The integral becomes:

Surface Area = ∫(0 to 2π) ∫(0 to 3) √(1 + 3^2 + 7^2) r dr dθ.

Evaluating this double integral will give us the surface area of the part of the plane that lies inside the cylinder. Please note that the actual calculation of the integral involves more detailed steps and may require the use of integration techniques such as substitution or polar coordinate transformations.

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Answer: 4/25

Step-by-step explanation:

\((\frac{2}{5}) ^2=\frac{2}{5}\times\frac{2}{5}=\large\boxed{\frac{4}{25} }\)

Answer:

2 dollars

Step-by-step explanation:

minus the money he spent on the drink so 2-16=14 then divide by the amount of candy bars he bought 14÷7=2 then you get your answer

Answer:

1 1/3= 4/3     1 1/2= 3/2

4/3 x 3/2= 12/6 or 1/2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

to figure this out we need to convert the whole numbers into fractions with the same denominator as the fraction that is put with them

1 1/3 --> 3/3 + 1/3 = 4/3

1 1/2 --> 2/2 + 1/2 = 3/2

then we can take those values and multiply accordingly

4/3 * 3/2 = 2

(NOTE: if the problem allows it, you can convert the fractions into decimals by dividing the numerator by the denominator (3 / 2 = 1.50) but if it doesnt, then you can use this method in other problems)

hope this helps :)

The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

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Answer:

X=7 Y=5

Step-by-step explanation:

500 miles = 248 + 62(m/h)• Time

then Time T is = ( 500 - 248)/ 62 = 4.1 hours

Explanation:

The angles shown are same side interior angles.

For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.

28+(3x+14) = 180

28+3x+14 = 180

3x+42 = 180

3x = 180-42

3x = 138

x = 138/3

x = 46

Step-by-step explanation:

the angles are same side interior angles and because of that they are supplementary and add up to 180°

(3x + 14) + 28 = 180°

3x + 14 + 28 = 180

3x + 42=180

3x=180-42

3x= 138

divide by 3

x = 46

The statement would no longer be true if you did not flip the signs.

Example: 1 < x < 2 multiplied by (-1) equals -2 < x < -1, because you can't have a number that is greater than -1, and less than -2 at the same time.

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Answer:

Bremen's age is 28 years

Step-by-step explanation:

Bremen's age= x

Omane's age= x+4

x+x+4=60

2x+4=60

2x=60-4

2x=56

2x = 56

2 2

x=28

Answer:

Choice C. 10N

Step-by-step explanation:

\(F_{k} =U_{k} *F_{N}\\F_{k} =.25*[(4kg*10m/s2)] : [40N]\)

\(F_{k} =10N\)

The area bounded by the parametric curve x=cos(t),y=e^t,0≤t≤π/2, and the lines y=1 and x=0 is -e^(π/2) + 1.

To determine the region enclosed by the lines and the provided parametric curve:
y=1 and x=0, we can use the formula:
A = ∫y*dx = ∫(y(t)*x'(t))*dt

where x'(t) and y(t) are the derivatives of x and y with respect to t, respectively.

First, let's find the x'(t) and y(t):
x'(t) = -sin(t)
y(t) = e^t

Now, we can substitute these into the formula to get:
A = ∫(e^t*(-sin(t)))*dt

To solve this integral, we can use integration by parts:

u = e^t
du/dt = e^t
v = cos(t)
dv/dt = -sin(t)

∫(e^t*(-sin(t)))*dt = -e^t*cos(t) + ∫(e^t*cos(t))*dt

Now, we can use integration by parts again:
u = e^t
du/dt = e^t
v = sin(t)
dv/dt = cos(t)

∫(e^t*cos(t))*dt = e^t*sin(t) - ∫(e^t*sin(t))*dt

Substituting this back into the original formula, we get:
A = (-e^t*cos(t) + e^t*sin(t)) ∣ 0≤t≤π/2
A = -e^(π/2)*cos(π/2) + e^(π/2)*sin(π/2) + e^0*cos(0) - e^0*sin(0)
A = -e^(π/2) + 1

Therefore, the area bounded by the parametric curve x=cos(t),y=e^t,0≤t≤π/2, and the lines y=1 and x=0 is -e^(π/2) + 1.

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