(PLEASE HELP) -5 - (-5/3)

The expression for the nth term of the sequences in terms of n is 2n + 7

9 11 13 15 17

Where,

nth term = a + (n - 1)d

= 9 + (n - 1)2

= 9 + 2n - 2

nth term = 2n + 7

Therefore, 2n + 7 is the expression which represents the nth term of the given sequence.

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Answer:

Step-by-step explanation:

Answer:

y = -2/3x - 5

Step-by-step explanation:

The mean μ=9 is the setting so that an 8 ounce cup will overflow when only 0.5% of the time.

A Z-score indicates how far a given value is from a standard deviation. A Z-score (standard value) is the number of standard deviations that a particular data point is above or below the mean. Standard deviation essentially reflects the amount of variability within a given data set.

The average is calculated as: From the Z-score formula:

z=(x-μ)/σ

Z-score associated with 0.5% is 0

(8μ)/0.4=0

Solving for x gives:

μ=9

For μ=9, an intermediate setting such that the 8 ounce cup overflows 0.5% of the time.

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Answer:

x = 7.272727...

x ~= 7.27 (nearest hundredth)

x ~= 7.3 (nearest tenth)

Step-by-step explanation:

"Supplementary" means the angles add up to 180°.

100 + 11x = 180

11x = 80

x = 7.272727...

179 pounds

Step-by-step explanation:

yan po makatulong po yan thank you

Answer: 2

Step-by-step explanation:

For all invertible n×n matrices a and b, the formula ABA^-1 = B holds, while the formula (I-A)(I+A) = I - A^2 does not hold in general.

The formula ABA^-1 = B holds for all invertible n×n matrices a and b. When we multiply a matrix by its inverse and then multiply the result by the original matrix, the intermediate multiplication by the inverse effectively cancels out the original matrix's effect. Therefore, the resulting matrix is simply the second matrix, b. This property holds true for any invertible matrices a and b, regardless of their size.

On the other hand, the formula (I-A)(I+A) = I - A^2 does not hold in general. Here, I represents the identity matrix. While this formula might hold for specific matrices a, it is not universally valid for all invertible n×n matrices. In general, the product of (I-A)(I+A) will not simplify to I - A^2. The difference between the two sides of the equation is the term A^2, which does not always cancel out in this case. Therefore, we cannot conclude that this formula holds for all invertible n×n matrices a.

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Elsa's claim that the logarithmic equation \(\log_2(x) = \log_2(3x+5)+4\) has no solution is true

The logarithmic equation is given as:

\(\log_2(x) = \log_2(3x+5)+4\)

Express 4 as a logarithm expression

\(\log_2(x) = \log_2(3x+5)+\log_2(16)\)

Apply the rule of logarithm

\(\log_2(x) = \log_2(16 *(3x+5))\)

Cancel out the common base

x = 16 *(3x+5)

Expand

x = 48x + 80

Collect like terms

x - 48x = 80

This gives

-47x = 80

Divide both sides by -47

x =-80/47

When the value of x is negative, then the logarithmic equation has no solution

Hence, Elsa's claim is true

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The Maclaurin series for the function f(x) = xsin2x is `f(x) = ∑_(n=0)^∞▒〖(-1)^n (2x)^(2n+1)/(2n+1)!〗`

(a) Let f(x) = xsin 2x.

Then f(0) = 0, f'(x) = sin 2x + 2xcos 2x and f''(x) = 4sin 2x - 4xcos 2x.

So f(0) = 0, f'(0) = 0 and f''(0) = 0. Thus the Maclaurin series for f(x) is;

(b) We know that `f(x)=x sin 2x`  is continuous at `x=0` if `f(0)` is defined as `0`.

Thus, `f(0)=0`.

(c) The power series for the derivative `f′(x)` is obtained by differentiating the power series of `f(x)`.

Thus, `f′(x)=sin 2x + 2xcos 2x`. Differentiating again gives `f′′(x)=4sin 2x−4xcos 2x`.

Hence, we have the following power series;`f′(x)=∑_(n=0)^∞▒〖(n+1) a_(n+1) x^n 〗``f′(x)=∑_(n=0)^∞▒〖(2n+1) (-1)^n x^(2n) + ∑_(n=0)^∞▒〖2(2n+1) (-1)^n x^(2n+1)〗〗`

Hence, we have the following power series for `f′(x)`;`f′(x)=∑_(n=0)^∞▒〖(2n+1) (-1)^n x^(2n) + ∑_(n=0)^∞▒〖2(2n+1) (-1)^n x^(2n+1)〗〗`

Therefore, the Maclaurin series for the function f(x) = xsin2x is `f(x) = ∑_(n=0)^∞▒〖(-1)^n (2x)^(2n+1)/(2n+1)!〗`

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The statement that is true from my perspective is that the AUD/NZD spot rate is overvalued compared to the cross rate.

To determine which statement is true, we need to compare the given spot quotations with the cross rate. The cross rate between two currencies can be calculated by multiplying the exchange rates of the two currencies in relation to a common third currency. In this case, the common third currency is the EUR (Euro). The cross rate between AUD/NZD can be calculated by dividing the EUR/AUD rate by the EUR/NZD rate: Cross Rate (AUD/NZD) = (EUR/AUD) / (EUR/NZD).

Substituting the given rates: Cross Rate (AUD/NZD) = (1.6665 / 1.6682) / (1.8028 / 1.8043) ≈ 0.9229. Comparing the calculated cross rate to the given spot quotations for AUD/NZD (1.0946 / 1.0953), we can see that the cross rate is lower than both spot quotations. Therefore, the statement that is true from my perspective is that the AUD/NZD spot rate is overvalued compared to the cross rate.

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Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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The angle that has been marked as x in the parallelogram that has been shown is 160°.

In a parallelogram, opposite angles are congruent, and adjacent angles are supplementary . Thus we must know that when we use the term supplementary what we are saying is that the angles would add up to one hundred and eighty degrees.

We know that the adjacent angle of a parallelogram are supplementary as such we have that;

x + 20 = 180

x = 180 - 20

x = 160°

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Answer:

10,597.50 cubic mm

Step-by-step explanation:

V(cone) = [3.14(h)(r²)] ÷ 3

= 3.14(15)(15²) ÷ 3

= 10,597.5

Answer: Total number of males= C

Step-by-step explanation:

Answer:

Rectangular pyramid volume: 8×9×9/3 = 216 cm³

Rectangular prism volume: 8×9×7 = 504 cm³

Total volume of composite figure: 216+504 = 720 cm³

Answer:

720 cm³

Step-by-step explanation:

Rectangular pyramid:

Volume = \(\frac{1}{3}BH\)

H = 9 cm

B-> base area =  area of rectangle

B = length * width = 8*9 = 72  square cm

\(Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}\)

Rectangular prism:

length = l = 8 cm

Width = w = 9 cm

Height = h = 7 cm

Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³

Volume of composite figure = volume of pyramid + volume of r. prism

      = 216 + 504

      = 720 cm³

Answer:

It’s still 11.9

Step-by-step explanation:

Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.

A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.

For Brian, we use the formula time = distance / speed:

time = 400 miles / 50 mph = 8 hours

So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).

For Beth, we use the same formula:

time = 400 miles / 60 mph = 6.67 hours

So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).

Therefore, Beth gets to San Francisco first.

B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:

wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes

So the first to arrive has to wait for 20 minutes for the second to arrive.

Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?

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The probability 7C3 = 35 possible ways to place 7 identical balls into 3 identical boxes.

The number of ways to place 7 identical balls into 3 identical boxes can be calculated by using the combination formula. The formula for combinations is nCr = n! / (r! (n-r)!), where n represents the total number of items and r represents the number of items being chosen. In this case, n = 7 and r = 3, so the formula becomes 7C3 = 7! / (3! (7-3)!). This simplifies to 7C3 = 7! / (3!4!) = 35. Therefore, there are 35 possible ways to place 7 identical balls into 3 identical boxes.

In each case, the balls can be placed into one box, two boxes, or three boxes, depending on how many balls are placed in each box. If one ball is placed in each box, then the remaining four balls can be placed in any of the boxes, giving four possibilities. If two balls are placed in each box, then the remaining one ball can be placed in any of the boxes, giving three possibilities. Finally, if all seven balls are placed in one box, then there is only one possibility. When the combinations of each scenario are added together, the total number of possible ways to place 7 identical balls into 3 identical boxes is 35.

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Answer:

one u selected i think

it maybe not correct

Step-by-step explanation:

i bless u too

Answer:

-2/3

Step-by-step explanation:

y2-y1 over x2-x1

Answer:

a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides

b) The largest possible number of sides of the polygon is a regular polygon with 9 sides

Step-by-step explanation:

a) The smallest exterior angle of the polygon = 40°

The largest exterior angle of the polygon = 80°

Therefore, we have the interior angles are;

The smallest interior angle of the polygon = 180° - 40° = 140°

The largest interior angle of the polygon = 180° - 80° = 100°

Therefore, we have

The interior angles of a regular polygon are given by the following formula;

\(Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}\)

For an interior angle of 100°, we have;

\(100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}\)

100/180 × n = n - 2

2 = n - 100/180 × n = 4/9·n

2 = 4/9·n

n = 18/4 = 4.5

Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides

b) For 140°, we have;

\(140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}\)

140/180 × n = n - 2

2 = n - 140/180 × n = 2/9·n

2 = 2/9·n

n = 18/2 = 9

n = 9 sides

Therefore, the largest possible number of sides = 9 Sides.

Answer:

41

Step-by-step explanation:

Answer:

Option a: m ≠ 0

Step-by-step explanation:

After a small online search, I've found that the complete question is:

If the function f(x) = m*x + b has an inverse function, which statement must be true?

a) m ≠ 0

b) m = 0

c) b ≠ 0

d) b = 0

Ok, if g(x) is an inverse of the function f(x), then:

g( f(x)) = x

f( g(x)) = x

Let's assume that f(x) = m*x + b  has an inverse, and this inverse function is g(x).

Because f(x) is linear, g(x) is also linear, then:

g(x) = n*x + c

Let's find the values of A and B.

We know that:

f( g(x)) = x =  m*(n*x + c) + b

then

x = m*n*x + m*c + b

Then we must have:

m*n = 1

(m*c + b)  = 0

From the first equation m*n = 1

We get:

n = 1/m

The slope of the inverse function is one over the slope of the original function.

Because m is on the denominator, m can not be equal to zero (because a division by zero is not defined)

Then the correct option is the option a, m ≠ 0.          

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

SORRY I DONOT KNOW THE ANSWER

Step-by-step explanation:

i am sorry i do not know the amswer