plz help i have 9 min to finish

The 40th term of the sequence  aₙ = - 24 - 3n is - 144.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, A sequence is represented by the explicit formula aₙ = - 24 - 3n.

We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Therefore, To find a₄₀, we'll simply replace n with 40.

So, a₄₀ = - 24 - 3(40).

a₄₀ = - 24 - 120.

a₄₀ = - 144.

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Answer:

\( d = 55h \)

Step-by-step explanation:

We are given that Chantal drives at a constant speed of 55 miles per hour.

If, d represents the total distance in miles, and

h represents number of hours, the following equation can be used to express the given situation:

\( d = 55h \)

For every hour, a distance of 55 miles is covered.

Thus, if h = 1, \( d = 55(1) = 55 miles \)

If h = 2, \( d = 55(2) = 110 miles \).

Therefore, \( d = 55h \) , is an ideal equation that represents the situation given in the question above.

Answer:

32 deg

Step-by-step explanation:

AD = DB and AE = EC

Then segment DE is parallel to segment BC by a theorem.

Angles AED and ECF are corresponding angles of parallel lines cut by a transversal, so they are congruent.

m<ECF = m<AED = 32 deg

Answer:

3 or 6.67%

Step-by-step explanation:

I'm assuming you want how much cars his prediction was off or how much percent

48 - 45 = 3

3/45 = 6.67%

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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Answer:

Explanation:

We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.

From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.

Hence, Given relation is not a function.

Hope this helps...

Good luck on your assignment...

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The higher the negative number is the farther left it will be.

Answer:

only answering for the other person to get brainliest

Step-by-step explanation:

Answer:

4 -1

Step-by-step explanation:

just trust me on this one :)

Answer:

For B it is A92B but for a

Step-by-step explanation:

I got it right on my test!

Answer:

 the side of square = 2.83 inches

Step-by-step explanation:

x= 45 degrees

y= 45 degrees

Answer:

The answer to this question should be A=18.84 and B=28.26

Answer:

m<P = \(116^{0}\)

Step-by-step explanation:

The given triangle is an isosceles triangle.

Since PN ≅ OP, then m<O ≅ m<N.

So that,

m<O + m<P + m<N = 180 (sum of angles in a triangle)

But,

m<O = 32 ≅ m<N = 32 (base angles of an isosceles triangle are equal)

32 + 32 + m<P = 180

64 + m<P = 180

m<P = 180 - 64

       = 116

m<P = \(116^{0}\)

a) The probability that the sample proportion p will be between 0.20 and 0.40 is 0.6833.

b) The probability that the sample proportion p will be between 0.25 and 0.35 is 0.8994.

(a) The sample proportion is defined as the number of favorable outcomes divided by the number of total outcomes. Therefore, the sample proportion p will be between 0.20 and 0.40 when the favorable outcomes lie between 20% and 40%. The probability that the sample proportion p will be between 0.20 and 0.40 can be calculated using the following formula:

Probability = P (0.20 ≤ p ≤ 0.40) = P (z ≤ (0.40 – p) / √(pq/n)) – P (z ≤ (0.20 – p) / √(pq/n)) where p = sample proportion, q = 1 – p, and n = sample size Assuming that the sample size is greater than 30, we can use the normal distribution to approximate the sampling distribution of the sample proportion.

Therefore, z-statistic can be used to determine the probability of the sample proportion being between 0.20 and 0.40. Hence, P (0.20 ≤ p ≤ 0.40) = P (z ≤ (0.40 – p) / √(pq/n)) – P (z ≤ (0.20 – p) / √(pq/n))= P (z ≤ (0.40 – 0.30) / √(0.30 × 0.70/500)) – P (z ≤ (0.20 – 0.30) / √(0.30 × 0.70/500))= P (z ≤ 3.02) – P (z ≤ -0.48)= 0.9982 – 0.3149= 0.6833 Therefore, the probability that the sample proportion p will be between 0.20 and 0.40 is 0.6833.

(b) The sample proportion p will be between 0.25 and 0.35 when the favorable outcomes lie between 25% and 35%. Therefore, the probability that the sample proportion p will be between 0.25 and 0.35 can be calculated as follows:

Probability = P (0.25 ≤ p ≤ 0.35) = P (z ≤ (0.35 – p) / √(pq/n)) – P (z ≤ (0.25 – p) / √(pq/n)) where p = sample proportion, q = 1 – p, and n = sample size Again, assuming that the sample size is greater than 30, we can use the normal distribution to approximate the sampling distribution of the sample proportion.

Therefore, z-statistic can be used to determine the probability of the sample proportion being between 0.25 and 0.35. Hence, P (0.25 ≤ p ≤ 0.35) = P (z ≤ (0.35 – p) / √(pq/n)) – P (z ≤ (0.25 – p) / √(pq/n))= P (z ≤ (0.35 – 0.30) / √(0.30 × 0.70/500)) – P (z ≤ (0.25 – 0.30) / √(0.30 × 0.70/500))= P (z ≤ 1.51) – P (z ≤ -1.81)= 0.9345 – 0.0351= 0.8994Therefore, the probability that the sample proportion p will be between 0.25 and 0.35 is 0.8994.

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Answer:

554

Step-by-step explanation:

The largest number (5) should go in the hundreds place, the second-largest number (also 5) should go in the tens place and the smallest number (4) should go in the units place so the answer is 554.

Answer:

8

Step-by-step explanation:

5 pounds = 40$

1 pound = x$

x$= 1 ×40 /5

x$=8

Answer:

Step-by-step explanation:

you got 5 pounds for 40 dollars

so you'll divide 40 dollars by 5 pounds. it will give you dollars per pound price

40/5

=$8

Answer:

  (-5x +y +1)(5x -y +1)

Step-by-step explanation:

You want the factored form of 1-25x²+10xy-y².

We recognize the last three terms as those of a perfect square trinomial:

  25x² -10xy +y² = (5x -y)²

Using this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.

  1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)

  = (-5x +y +1)(5x -y +1)

__

Additional comment

The forms we used here are ...

  (a -b)² = a² -2ab +b²

  a² -b² = (a -b)(a +b)

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Answer:

14

Step-by-step explanation:

The angles add to form a straight angle, so

\(7x-1+6x-1=180 \\ \\ 13x-2=180 \\ \\ 13x=182 \\ \\ x=14\)

A rectangle has 4 coordinates.

The coordinate of the last vertex is (-2,-8)

The points are given as:

\(\mathbf{A = (-7,-4)}\)

\(\mathbf{B = (1,6)}\)

\(\mathbf{C = (6,2)}\)

Calculate distance AB

\(\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}\)

So, we have:

\(\mathbf{AB = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\)

Calculate distance CD

\(\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}\)

So, we have:

\(\mathbf{CD = \sqrt{(x - 6)^2 + (y - 2 )^2}}\)

Equate AB and CD

\(\mathbf{ \sqrt{(x - 6)^2 + (y - 2)^2} = \sqrt{(-7 - 1)^2 + (-4 - 6)^2}}\\\)

Cancel out the squares

\(\mathbf{ (x - 6)^2 + (y - 2)^2 = (-7 - 1)^2 + (-4 - 6)^2}\)

By comparison

\(\mathbf{x -6 = -7-1}\)

\(\mathbf{y-2 = -4-6}\)

So, we have:

\(\mathbf{ x = 6-7-1 }\)

\(\mathbf{ x = -2}\)

\(\mathbf{y = 2-4-6 }\)

\(\mathbf{y = -8}\)

Hence, the coordinate of the last vertex is (-2,-8)

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

100

Step-by-step explanation:

10/100=0.1

0.1*1000

Answer:

For me it's C.

Step-by-step explanation:

the third one if you would like me to explain tell me.

The solutions to the trigonometric equations \(2cos(x) - \sqrt{30} = 0\) in the interval \([0, 2\pi)\) are x ≈ \(0.5514 + 2n\pi\), where n is an integer.

Given that the equation  \(2cos(x) - \sqrt{30} = 0\) in the interval \([0, 2\pi)\)

To find all the solutions to the equation  \(2cos(x) - \sqrt{30} = 0\) in the interval \([0, 2\pi)\) ,  solve for x by isolating the cosine term and then applying the inverse cosine function.

Here are the steps to solve the equation:

Add \(\sqrt{30}\) to both sides:

\(2cos(x) = \sqrt{30}\)

Divide both sides by 2:

\(cos(x) = \sqrt{30} / 2\)

Find the inverse cosine (\(cos^{-1}\)) of both sides:

\(x = cos^{-1}(\sqrt{30} / 2)\)

To determine the values of x in the interval \([0, 2\pi)\) that satisfy the equation.

Evaluate \(cos^{-1}(\sqrt{30} / 2)\) to find its approximate value.

\(cos^{-1}(\sqrt{30} / 2) = 0.5514\) radians

Since the cosine function has a periodicity of \(2\pi\), we can find other solutions by adding multiples of \(2\pi\) to the initial solution.

So, the solutions in the interval  \([0, 2\pi)\) are:

x ≈ 0.5514 radians

x ≈ \(0.5514 + 2\pi\)

x ≈ \(0.5514 + 4\pi\)

...

To simplify, express the solutions as:

x ≈ \(0.5514 + 2n\pi\)

where n is an integer.

Therefore, the solutions to the trigonometric equations \(2cos(x) - \sqrt{30} = 0\) in the interval \([0, 2\pi)\) are x ≈ \(0.5514 + 2n\pi\), where n is an integer.

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Answer:parralell

Step-by-step explanation:

Answer:

40 fluid ounces

Step-by-step explanation:

Answer:

( 5 , 7 )

Step-by-step explanation:

I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!

Answer:

(5,7)

Step-by-step explanation:

If you look at the 2 points that intersect at point G, you always put the x-axis first and the y-axis 2nd so x=5 y=7 so the answer is....^^^

Answer:

alternate interior angles

Step-by-step explanation:

The angles are alternate interior angles

They are between the parallel lines and on opposite sides of the transversal

Answer:

Step-by-step explanation:

4000 x 8% = 320 annually

since you are asking for only 60 days

320 x 60/365 = &52.6

Answer:

Exact form:

x= 177/8

Decimal Form:

x=22.125

Mixed Number Form:

x= 22 1/8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.