Please resolve it and list the steps the simplest way possible, thanks. ASAP if possible

The second term of the given geometric sequence is: 6.

Given:

To find: Second term of the GP (a₂).

Finding:

Since the given sequence is a GP, the nth term will be given by: [tex]a_n=a_1(r^{n-1})[/tex], where r = common ratio of the GP.

Now, for n  = 3, [tex]a_3=3(r^{3-1})[/tex]

=> 12 = 3 (r²)

=> 4 = r²

=> r = ±2

Since the given sequence is increasing and positive, r = 2.

Thus, a₂ = a₁ (r¹)

=> a₂ = 3 (2) = 6

Hence, The second term of the given geometric sequence is: 6.

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The required simplified value of x and y is 32 and 84 respectively.

Given that,
To find the values of x and y. State which theorem(s) you used.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Vertical opposite angles

3x = 5x - 64
2x = 64
x = 32

Now,

5x - 64 = 5*32 - 64
            = 160 - 64

            = 96°
Now complementary angle y
y = 180 - 96°

y = 84°

Thus, the required simplified value of x and y is 32 and 84 respectively.

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Answer:

195.86

Step-by-step explanation:

Answer: 195.86. Yw.

Step-by-step explanation: Pls add me Brainliest >3

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the fractions have like denominators so we add numerators :

[tex]\sf{\frac{3}{6} +\frac{2}{6} =\frac{3+2}{6} =\frac{5}{6}[/tex]

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[tex]\textcopyright ELIZA[/tex]

Answer:

they stopped at 110 for a restroom break?

I don't think I fully understand lol srry

Thomas and his grandparents are on a trip of 140-mile. From Points D and E, there is no movement of the bus, which means they halt at the point.

An orderly schematic illustration or diagram of facts or quantities is known as a graph in mathematics.

Usually, the graph's examples indicate how two or more items are related to one another.

As per the graph provided in the question,

As we can see in the graph there are covering 140 miles in a bus and the graph shows distance (in miles) and time (in hours).

From the graph we can see that between point D and E only time is increasing but the distance is constant which means they stopped at some place to halt.

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Answer:

Option 2

Step-by-step explanation:

2.2 x 1.25 = 2.7510-2.75=7.25

The set of items that exist as part of both sets A and B exists at the intersection of the two sets.

If p(a|b) =0.40, p(b) = 0.74, and p(a) = 0.42, then P(A∩B) is 0.46.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

It exists given that the Probability of two independent event A and B exists given by P(A)  and P(B).

The intersection of event A and B is given by P( A∩B).

The group of items that are part of both sets A and B is the intersection of the two sets. A ∩ B represent the intersection. The symbol "∩" can be used to represent the intersection of sets.

The collection of all outcomes that are components of both sets A and B is known as the intersection of events A and B (abbreviated AB).

Given: P(a|b) = 0.40

P(A) = 1 - 0.40 = 0.6

P(B) = 1 - 0.74 = 0.26

P(A∪B) = P(A) + P(B) − P(A∩B)

substitute the values in the above equation, we get

0.40 = 0.6 + 0.26 - P(A∩B)

- P(A∩B) = 0.40 -  0.6 - 0.26

P(A∩B) = 0.46

Therefore, the independent events of A and B exists 0.46.

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The instructor can use Mathematical coincidence to prove that all of the hoops are congruent.

So, the fitness instructor should use Mathematical coincidence and should keep the hoops on one another to check the congruency.

Therefore, the instructor can use Mathematical coincidence to prove that all of the hoops are congruent.

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If AC = 4x - 3, DC = 2x + 9, m ∠ ECA = 15x + 2, and EC is a median of ΔAED then EC is not an altitude of ΔAED because of m ∠ ECA = 92.

In geometry, an altitude is a line that passes through two very specific points on a triangle: a triangle's vertex, or corner, and its opposite side at a right, or 90-degree, angle. The base is the opposite side. Triangles have three vertices and three opposite sides in common.

Given: AC = DC

4x - 3 = 2x + 9

4x - 2x - 3 = 2x - 2x + 9

simplifying the above equation, we get

2x - 3 = 9

2x - 3 + 3 = 9+3

2 x = 12

x = 6

Substitute the value of x in m ∠ ECA, then we get

m ∠ ECA = 15x + 2

= 15(6) + 2

m ∠ ECA = 92

EC is not an altitude of ΔAED because of m ∠ ECA = 92.

Therefore, EC is not an altitude of ΔAED.

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Answer:

5 degres

Step-by-step explanation:

0-10 is -10

-10+15 is 5

Answer:

c) 388 minutes

Step-by-step explanation:

Given equation,

→ C = 29.95 + 0.035x

Then the call duration will be,

→ C = 29.95 + 0.035x

→ 43.53 = 29.95 + 0.035x

→ 0.035x = 43.53 - 29.95

→ x = 13.58/0.035

→ [ x = 388 ]

Hence, option (c) is correct.

The company catches 1,237,275.5 fishes over 10 years.

Given that, a company catches 175000 fishes in a year, the population decreases, the number of fish the company was able to catch decreased by 8% each year.

So, the population in 10 year =

The second year = 175000 × 0.92 = 161000

The third year = 161000 × 0.92 = 148120

The fourth year = 148120 × 0.92 = 136,270.4

The fifth year = 136270.4 × 0.92 = 125368.8

The sixth year = 125268.8 × 0.92 = 115339.3

The seventh year = 115339.3 × 0.92 = 106112.2

The eighth year = 106112.2 × 0.92 = 97623.2

The ninth year = 97623.2 × 0.92 = 89813.3

The tenth year = 89813.3 × 0.92 = 82628.3

The total = 175,000+161000+148120+136,270.4+125368.8+115339.3+106112.2+97623.2+89813.3+82628.3 = 1,237,275.5

Hence, the company catches 1,237,275.5 fishes over 10 years.

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It is proved that ΔLMN is an isosceles triangle.

So,

Given:

To prove congruency:

Therefore,  ΔM LO ≅ ΔMNO under SSA congruency.

Therefore, it is proved that ΔLMN is an isosceles triangle.

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He will break even on the 25th month.

The cost to start the business is $20,000 and the monthly costs are $8,000.

He has been earning $8,800 every month in revenue.

Profit = Selling Price - Cost Price

Therefore,

let

x = number of month

Hence,

selling price = 8800x

cost price = 20000 + 8000(x) = 20,000 + 8000x

Therefore,

profit =  8800x - (20,000 + 8000x)

profit = 8800x - 20000 - 8000x

profit = 8800x - 8000x - 20000

profit = 800x - 20000

Hence,

The month when they will break even is as follows:

8800x = 20,000 + 8000x

20000 = 8800x - 8000x

20000 = 800x

x = 20000 / 800

x = 25

Therefore, he will break even on the 25th month.

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When a die is rolled, the probability of outcome less than 2 is 1/6.

As given in the question,

Let the possible outcomes of the given event is represented by S.

Formula used :

Probability of an event

= (Favorable outcomes) /(Total Number of possible outcomes)

When a dice is rolled, all possible outcomes are 1, 2, 3, 4, 5, 6.

Sample space, S =(1, 2, 3, 4, 5, 6)

Favorable outcomes = Only 1 is smaller than 2, remaining number is greater than 2

So, total number of favorable outcomes = 1

Probability of outcome less than 2

= (Favorable outcomes) /(Total Number of possible outcomes)

⇒ Probability = 1/6

Therefore, when a die is rolled, the probability of outcome less than 2 is 1/6.

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The sequence of the angles from lower to bigger will be ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In a triangle, if the angle is small then the opposite side will be short, and if the angle increases then the side also increases.

The sides of the triangle are in ascending order, then we have

WY < YZ < WX < XY < XZ

Then the sequence of the angles is given as,

∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ

The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.

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Answer:

The method for appearing with numbers for the 2x2 matrix whose determinant is 13 is clarified.

Step-by-step explanation:

Determinant of 2×2 matrix

If we have a 2×2 matrix A of the form;

A =

\binom{a \: \: \: b}{c \: \: \: d}(

cd

ab

)

The determinant of the matrix is;

|A| = (a.d) - (b.c)

Therefore, to appear with numbers for a, b, c, and d, we must ensure; (a.d) - (b.cdeterminantse, if a = 3, d = 15, b = 2, and v = 1.

Ultimately, |A| = (3×5) - (2×1) = 13

Answer:

2 times as much

Step-by-step explanation:

1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes

3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins

200 is twice as much as 100

Hello,

[tex]f(x) = - {x}^{2} + 8[/tex]

[tex]h(x) = - {x}^{2} + 8 - 3 = - { {x}^{2} } + 5[/tex]

Answer:

Hello,

x=-4, y=3

Step-by-step explanation:

14*x+19*y=1 since gcd(182,247)=13

Here is a automatic calculus (using Bezout 's method)

All you have to do is to put in B1 and B2 the right numbers

The values of x and y given that 182x + 247 y = gcd(182, 247) would be x=-4 and y=3.

An equation represents equality of two or more mathematical expression.

To solve an equation, then the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

And Solutions to an equation are values of the variables involved in that equation for which the equation is true.

We have given the equation as;

182x + 247 y = gcd(182, 247)

Then we get

14*x+19*y=1

Thus, x=-4 and y=3.

since we have given gcd(182,247)

=13

Hence, The values of x and y given that 182x + 247 y = gcd(182, 247) would be x=-4 and y=3.

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The number of minutes it will take the marshal to catch up to the robber in discuss is; 210.

Let 30minutes = 0.5 hours.

Let x represent the time for which the marshal has ran.

On this note, the robber must have galloped at; (x +0.5) hours.

Hence, it follows from the task content that if they are at the same distance from the bank; we have;

14(x+0.5) = 16(x)

14x + 7 = 16x

7 = 2x

x = 7/2 = 3.5 hours.

= 3.5 × 60minutes = 210minutes.

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Answer:

Step-by-step explanation:

[tex]\displaystyle\\-8(-\frac{10}{7})= 4(-\frac{10}{7} +5)+2(-\frac{10}{7} )\\[/tex]

[tex]\displaystyle\\Let \ -\frac{10}{7} =t\\Hence,\\(-8)(t)=(4)(t+5)+(2)(t)\\-8t=(4)(t)+(4)(5)+2t\\-8t=4t+20+2t\\-8t=6t+20\\-8t+8t=6t+20+8t\\0=14t+20\\0-20=14t+20-20\\-20=14t\\-20=(14)(-\frac{10}{7} )\\-20=-\frac{(14)(10)}{7} \\\\-20=-\frac{(7)(2)(10)}{7} \\-20=-(2)(10)\\-20\equiv-20[/tex]

The slope of a line perpendicular to the line of x + 4y = 16 is 4.

Given the equation of line;

x + 4y = 16

First, rearrange in slope intercept form ( y = mx + b ) by solving for y

x + 4y = 16

Subtract x from both sides

x - x + 4y = 16 - x

4y = -x + 16

Divide each term by 4 and simplify

4y/4 = -x/4 + 16/4

y = -(1/4)x + 4

Using the slope intercept form ( y = mx + b ) to compare.

y = -(1/4)x + 4

Slope m = -(1/4)

Now, the equation of a perpendicular line to y = -(1/4)x + 4 must have a slope that is the negative reciprocal of the original slope.

Hence, m_perpendicular will be;

m_perpendicular = -( 1 / original slope )

m_perpendicular = -( 1 / -(1/4) )

m_perpendicular = -( -4 )

m_perpendicular = 4

Therefore, the slope of a line perpendicular to the line of x + 4y = 16 is 4.

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Hello!

The approximate predicted number of stamps she collected in the 25th month is 990.

Step-by-step explanation:

The ordered pairs are as follows:

( 1, 30), ( 2, 70), ( 3, 110), ( 4, 150), and ( 5, 190).

The pattern visible is that each month the value increases by 40 from each previous month.

The equation you would have to do in order to see how many stamps she collected is:

[tex]30[/tex] + [tex]40[/tex] × [tex]24=30[/tex] + [tex]960=990[/tex]

Hope this helps!

Answer:

a

Step-by-step explanation: codigo binario

Answer:

Step-by-step explanation:

when f is evaluated at 5 the output is 23

The coordinates of the midpoint M of the segment AB is (-4,6).

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Point A (-8, 5)

Point B (0,7)

To determine the midpoint, plug the given points into the formula above and simplify.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

M = ( ((-8)+0)/2, (5+7)/2 )

M = ( ( -8+0 )/2, (5+7)/2 )

M = ( ( -8 )/2, (12)/2 )

M = (-4,6)

Therefore, the coordinates of the midpoint M of the segment AB is (-4,6).

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