Given f(x) =
-3
O 0
О П
O DNE
3 cos(x), for x = π
for x = πT
TT,
What is lim f(x)?
X-R

Answer:

5

Step-by-step explanation:

Answer:

477\(cm^{2}\)

Step-by-step explanation:

The formula of the surface area of an isosceles triangular prism is given as \(SA = bh + 2la + lb\)

\(SA=\) \(6X4.5+2X25X6+\)\(25X6\)

\(SA=\) \(27+\)\(300+\)\(150\)

\(SA=\)\(477cm^{2}\)

Step-by-step explanation:

Let the other 4 friends arrange themselves first. There are 4! ways to do so.

Now there are 3 spaces between the 4 friends, and 1 at each end (total 5 spaces)

Example: _F_F_F_F_

Alice can choose to stand in any of the 5 spaces. David can choose to stand in any of the 4 remaining spaces (now Alice and David are not next to each other)

Total number of ways = 4! * 5 * 4 = 480.

Answer:

86+36=122

Step-by-step explanation:

Once we have the dimensions of the pool, plug them into these formulas to find the approximate area of Lennon's pool.

To find the approximate area of Lennon's swimming pool, which includes a rectangle and a semicircle, you should follow these steps:

1. Determine the dimensions of the rectangular part of the pool and the diameter of the semicircular part. This information should be provided in the problem. Let's assume the length of the rectangle is L, the width of the rectangle is W, and the diameter of the semicircle is D.

2. Calculate the area of the rectangular part of the pool using the formula for the area of a rectangle: Area_Rectangle = L × W.

3. Calculate the area of the semicircular part of the pool. First, find the radius of the semicircle by dividing the diameter by 2: Radius = D / 2. Then, use the formula for the area of a circle: Area_Circle = π × (Radius)². Since we need the area of the semicircle, divide the Area_Circle by 2: Area_Semicircle = (π × (Radius)²) / 2.

4. Add the areas of the rectangular and semicircular parts together to find the approximate area of Lennon's swimming pool: Area_Pool = Area_Rectangle + Area_Semicircle.

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When the boat headed 21 miles north then 28 miles to the east then back to its starting point, it formed a right angle triangle. And that straight line the question is talking about is the hypotenuse.

Use the Pythagorean Theorem to solve for hypotenuse.

The Pythagorean Theorem states that for any right triangle the following is true: when you take the sum of both of the legs squared it will equal to the hypotenuse squared.

In equation form:  a^2+b^2=b^2

Where the variables a and b are the legs. And the variable c is the hypotenuse.

Plug in the values.

21^2 + 28^2 = c^2

441 + 784 = c^2

1225 = c^2

35 = c

So, the straight line is 35 miles long.

Answer:

Step-by-step explanation:

If two vectors are perpendicular to each other then their scalar(dot) product must be zero.

Therefore,  

A

.

B

=0

(2

i

^

+2

j

^

​

+3

k

^

)⋅(3

i

^

+6

j

^

​

+n

k

^

)=0

6+12+3n=0

3n=−18

n=−6

Answer:

11x²-9x+14

Step-by-step explanation:

To find this just subtract the polynomials and combine like terms

we have

7x²-3x+10-( -4x²+6x-4)

Which simplifies to

11x²-9x+14

Answer:

The number of 7-digit numbers are possible in a single area code is 5248600

Step-by-step explanation:

The given parameters are;

The number of digits in the area code = 7

The possible digits for X, B and C are 1 - 9 = 9 digits

The number of possible digits for A is 0 - 9 = 10 digits

Exceptions

1) B and C cannot both =

2) 555-0100 through 555-0199 are reserved for television or movies

Therefore, we have, the number of 7 digits numbers without exceptions = 10×9⁶ = 5314410 numbers

The number of the exceptions are

Exception 1) 10 × 1 × 1 × 9 × 9 × 9 × 9 = 65610 numbers

Exception 2)  555-0100 through 555-0199 = 0199 - 0100 = 200 numbers

The number of possible numbers = 5314410 - 65610 - 200 = 5248600

The number of 7-digit numbers are possible in a single area code = 5248600.

Answer:

x=5,y=-3

Step-by-step explanation:

\(\left \{ {{-6x+3y=-39} \atop {-6x-3y=-21}} \right. \\-12x=-60\\12x=60\\x=\frac{60}{12} \\x=5\)

\(-6(5)+3y=-39\\-30+3y=-39\\3y=-39+30\\3y=-9\\y=-\frac{9}{3} \\y=-3\)

Step-by-step explanation:

75° and (3x + 15)° are supplementary (add up to 180°).

Therefore 75 + 3x + 15 = 180, 3x = 90 and x = 30.

Answer:

x = 30

Step-by-step explanation:

3x + 15 and 75 are adjacent angles and are supplementary, then

3x + 15 + 75 = 180

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

5520.  this is the answer. you have to multiply 5000 at 2% 5 times. hope it helps. this is my first answer.

Answer:

The distance between point A(-3,6) and another point is 10.

=> That point belongs to the circle with center A and radius 10.

=> The coordinate (x, y) of that point satisfies the equation of circle:

(x - -3)^2 + (y - 6)^2 = 10^2

or

(x + 3)^2 + (y - 6)^2 = 100

Hope this helps!

Answer:

$11.25 was the tip

Step-by-step explanation:

I subtracted 75.00 by 15% and got 63.75 (what they paid) and subtracted 75.00 by 63.75, which got me the tip= 11.25 dollars

Answer:

The price is now $28.

Step-by-step explanation:

Answer:

4892

because its to the zero power

Step-by-step explanation:

Answer:

\(\left \{ {{x=3} \atop {y=-4}} \right.\)

Step-by-step explanation:

\(\left \{ {{5x + 2y =7} \atop {4x + y =8}} \right.\)

\(\left \{ {{5x + 2y = 7} \atop {2(4x + y) = 8 x 2}} \right.\)

\(\left \{ {{5x + 2y = 7} \atop {8x + 2y = 16}} \right.\)

5x + 2y - (8x +2y) = 7 - 16

5x + 2y - 8x +2y = 7 - 16

5x - 8x = 7 - 16

x= 3

5 × 3 + 2y = 7

y = -4

The magnitude of the number of the minutes in the school is 2.

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

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Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

Constant of proportionality  : \(\frac{1}{3}\)

Equation: y = ka

How are the values calculated?

a: 2, 3, 10, and 12

y: 2/3, 1, 10/3, and 4

Let the constant of proportionality = k

If x and y are directly proportional ,

We know , k = \(\frac{y}{x}\)

Here, k = \(\frac{y}{a}\)

Considering y = 2/3 and a =2

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

Thus, the constant of proportionality ( k) =  \(\frac{1}{3}\)

The equation y is given by ,

y =  ka

Let us verify,

For k = 1/3 and a = 12

\(y=\frac{1}{3} *12\\\\y=4\)

Thus the equation is y = ka

What is constant of proportionality?

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Since the provided equation is inconsistent, it cannot intersect.

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. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

A, and C

Step-by-step explanation:

-3+2(x+2)

-3+2x+4 (A)

1+2x or 2x+1  (C)

Answer:

15 or 15.4!!!!!!!!!! I hope this helps

Answer:

15

Step-by-step explanation:

9.2 + 6.2 is 15.4

we are rounding to the nearest whole

15.4 goes to 15

Answer:

sales tax is $3.2 ans total is $43.2

Step-by-step explanation:

The following parts can be answered by the concept of Standard deviation.

a. We find that P(X ≤ 86) is approximately 0.0004.

b. We find that P(80 ≤ X ≤ 100) is approximately 0.1151.

c. We find that x such that P(X ≤ x) = 0.40 corresponds to a z-score of approximately -0.25. Therefore, x is approximately μ + (z-score × σ) = 120 + (-0.25 × 20) = 115.

d. Using Table 1, we find that x such that P(X > x) = 0.90 corresponds to a z-score of approximately 1.28. Therefore, x is approximately μ + (z-score × σ) = 120 + (1.28 × 20) ≈ 146.4.

a. To find P(X ≤ 86), we first need to calculate the z-score, which is given by (86 - μ) / σ. Plugging in the given values, we get (86 - 120) / 20 = -1.7. Using Table 1, we look for the closest z-score to -1.7, which is -1.69, and corresponding to it, we find the probability 0.0459. However, since we need to find P(X ≤ 86), we need to add the area to the left of -1.69 in the table, which is 0.0004.

b. To find P(80 ≤ X ≤ 100), we first need to calculate the z-scores for 80 and 100 using the same formula as above. The z-score for 80 is (80 - 120) / 20 = -2, and the z-score for 100 is (100 - 120) / 20 = -1. Plugging these values into Table 1, we find the probabilities corresponding to -2 and -1, which are 0.0228 and 0.1587 respectively. To find the probability for the range 80 ≤ X ≤ 100, we subtract the probability corresponding to -2 from the probability corresponding to -1, which is 0.1587 - 0.0228 = 0.1359.

c. To find x such that P(X ≤ x) = 0.40, we need to find the z-score corresponding to a cumulative probability of 0.40 in Table 1. The closest z-score to 0.40 is -0.25. We can then use the formula z = (x - μ) / σ and rearrange it to solve for x: x = μ + (z-score × σ) = 120 + (-0.25 × 20) = 115.

d. To find x such that P(X > x) = 0.90, we first need to find the z-score corresponding to a cumulative probability of 0.90 in Table 1, which is approximately 1.28. We can then use the formula z = (x - μ) / σ and rearrange it to solve for x: x = μ + (z-score × σ) = 120 + (1.28 × 20) ≈ 146.4, rounded to one decimal place. Therefore, x is approximately 146.4.

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Answer:

4'5

Step-by-step explanation:

If a map f:X→Y between connected CW complexes induces isomorphisms f∗:πn(X)→πn(Y) for all n, then f is a homotopy equivalence. In case f

is the inclusion of a subcomplex X↪Y , the conclusion is stronger: X is a deformation retract of Y.

A fairly generic notion called isomorphism can be found in many branches of mathematics. The word is derived from the Greek words morphosis, which means "to form" or "to shape," and iso, which means "equal." An isomorphism is a bijective morphism in formal terms. An isomorphism, as used informally, is a map that maintains sets and relationships between elements.

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Answer:

\(x\geq 6\)

Step-by-step explanation:

Assuming you meant the equation was \(y=2\sqrt{x-6}\)

The x-value must be greater than or equal to 6 because you cannot have an imaginary(negative) number underneath the square root.

Option D is correct, the domain of the function is x≥6, or in interval notation, [6, ∞) or 6≤x<∞, Option D is correct.

A relation is a function if it has only One y-value for each x-value.

The domain of the function y=2√(x-6) is the set of all values of x for which the function is defined.

Since the only restriction on x in this function is that the expression inside the square root (x-6) must be non-negative, we have:

x-6 ≥ 0

Solving for x, we get x greater than or equal to six.

x ≥ 6

Therefore, the domain of the function is x≥6, or in interval notation, [6, ∞)., Option D is correct.

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Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

should be answer A

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Step-by-step explanation:

it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)