What does 3g=
In math 8th grade

9514 1404 393

Answer:

  a. Definition of bisector.

Step-by-step explanation:

Line l is a line through the midpoint M. We can conclude it is a bisector, because, by definition, a bisector is a line through the midpoint.

The conclusion is justified by the definition of a bisector.

refer to the attatchment

The difference in distance between the two round trips 2.4 miles.

The length of the line segment connecting the two sites is used to measure distance between them. The shortest line segment between a point and a line will have a length equal to the distance between them.

The x-coordinate, often known as the abscissa, is a point's separation from the y-axis.

Now, total joe walked the distance is

\(\sqrt{3.6^{2}+1.5^{2} }\)=3.9 miles

and on the daily basis he usually walks

3.6+1.5=5.1 miles

So, the difference in the distance in first trip

5.1-3.9=1.2 miles

and thus the difference in the distance in two round trips will be

1.2×2=2.4 miles.

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Answer:

1.  y=2x−5

2.  y=-x-4

3. y=-1/2x+1

Step-by-step explanation:

First Question:

We are given (3, 1) and (1, -3)

The slope is the difference of y-values over x-values. From this we get:

(1−−3)/(3−1)=4/2=2

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (3, 1) gives us         1=3∗2+b    ⇒    b=1−6 = −5

We have our slope and y-intercept now, so the equation is y=2x−5.

Second Question:

We are given (-4, 0) and (1, -5)

The slope is

(-5-0)/(1--4)=-5/5=-1

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (-4, 0) gives us         0 = -1∗-4+b    ⇒    b = -4

We have our slope and y-intercept now, so the equation is y=-x-4.

Third Question:

We are given (-6, 4) and (-2, 2)

The slope is

(4-2)/(-6--2)=2/48=-1/2

Now, we want to find the y-intercept. To do this, we plug our slope and one of our points into the slope intercept equation: y=mx+b

Plugging in (-2, 2) gives us         2 = -1/2∗-2+b    ⇒    b = 2-1 = 1

We have our slope and y-intercept now, so the equation is y=-1/2x+1

(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:

I think it B or C but hope I can help :)

Step-by-step explanation:

Answer:

57.926%

Step-by-step explanation:

Calculation for the probability that it is less than

16.4 inches long

Using this formula

z = (X - μ) / σ

Where,

X represent Date=16.4

μ represent Mean=16.2

σ represent Standard deviation=0.9 inches

Let plug in the formula

z = (16.4 - 16.2) /0.9 inches

z=0.2/0.9 inches

z = 0.2

Using Z-score table to find the area of 0.2

z=0.57926*100

z=57.926%

Therefore the probability that it is less than

16.4 inches long is 57.926%

Newton earns $39 for working 3 hours as a radio host.

In terms of time and work, it refers to how long it takes a person or group of individuals to perform a task and how well each of them does it. A crucial concept that time and labour have in common with other arithmetic topics is the concept of proportionality. Efficiency is inversely proportional to time required while the amount of work is constant.

Efficiency serves as the proportionality constant, and work and time are directly proportional.

Given,

As a radio host, Newton puts in 15 hours and makes $195..

For a one hour the employee earns $13

So with this information we can put:

13×3=39

In 3 hours Newton earns $39 for working as a radio host.

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The transformation of f(x) to g(x) is :

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:

x = 7

Step-by-step explanation:

3x+2=23

Subtract 2 from each side

3x+2-2 = 23-2

3x = 21

Divide each side by 3

3x/3 = 21/3

x = 7

Answer:

\( \sf \: x = 7\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 3x + 2 = 23

Then the value of x will be,

→ 3x + 2 = 23

→ 3x = 23 - 2

→ 3x = 21

→ x = 21 ÷ 3

→ [ x = 7 ]

Hence, the value of x is 7.

Answer:  

The top of the ladder is 12.69 feet away from the ground

Step-by-step explanation:

Length of the ladder is given to be 15 foot

Also, The base of the ladder is 8 feet away from the wall.

Now, The height of the ladder will be perpendicular to the surface of the ground

So, It will form a right angled triangle

Now, The base of the triangle will be 8 feet

Hypotenuse of the triangle will be 15 feet

And we need to find the perpendicular height of the triangle

By using Pythagoras theorem, We have

Hypotenuse² = Base² + Perpendicular²

⇒ 15² = 8² + Perpendicular²

⇒ Perpendicular = 12.69 feet

Therefore, The top of the ladder is 12.69 feet away from the ground

Or 12.70 from rounding to your nearest tenths

Help this helps and sorry for it being long

The acceleration of the van is -5.46 m/s²  

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Equation of Motion : v = u + a t.

v= final velocity, u= initial velocity , a= acceleration

Convert miles per hour to m/s

1 mph = 0.447 m/s

55 mph = 0.447 *55 m/s  = 24.585 m/s

we have

0=24.585  + a(4.5)

=> -24.585 = 4.5a

=> a=  -24.585/4.5 = -5.46 m/s²

Thus, the acceleration of the van is -5.46 m/s²  

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Answer:

x, 2x+1, 4x+3, 8x+7

Step-by-step explanation:

If we call the first term x, then the subsequent term is 2x+1. Then, the next term is 2(2x+1)+1=4x+2+1=4x+3. Then, the fourth term is 2(4x+3)+1=8x+6+1=8x+7.

As a matter of fact, the nth term is given by \(2^{n-1}x+2^{n-1}-1\) for starting term x.

Answer :

Cost of running shoes = $92

Cost of total expenditure = $122

It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s

Thus the equation formed will be ,

Option D is the correct answer

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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The given system of equations has no solution.

Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,

We know for a system of equations =

a₁x + b₁y = c₁ and a₂x + b₂y = c₂

If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.

If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.

If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.

comparing the coefficients given,

-12/12 = -1

-36/36 = -1

-3/0 = -3

We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.

Hence the given system of equations has no solution.

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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The inequality of the situation is |x - 87| <= 25

From the question, we have the following parameters that can be used in our computation:

Attendance to number within 25 of last year’s 87 students.

Represent the attendance with x

Using the above as a guide, we have the following:

|x - Last year| <= Within

Substitute the known values in the above equation, so, we have the following representation

|x - 87| <= 25

See attachment for the inequality

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The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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Answer:

y=8.94

Step-by-step explanation:

use the formula: a^2+b^2=c^2

64+y^2=144

y=\(\sqrt{80}\)

or y=8.94

Answer:

1; 31.2 2; 12.4 3; 30.8 4; 118.4 5; 16.53 (i ran out of time or else i wouldve finished, just use google for answers! ^_^)

done the rest, just Step-by-step explanation:

hi

4/7  =   8

7/7 =  ?  

so ?  =  7/7 * 8  /4/7 =   8/4/7 =  8 *7/4 = 4*2*7 /4 =   2*7 = 14

so whole thing  is  14

let's check :    14 * 4/7 =   56/7 = 8

Match initial data. answer is correct.

Step-by-step explanation:

I hope this answer is helpful ):

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

the value of m will be 20

Answer:

Good morning! The answer is 24x

Step-by-step explanation:

8 x 3 = 24

Just add the x!

_AnnieTheDreamGirl, 3/7/2022

Answer:

She would make $306 for 18 hours of work.

Step-by-step explanation:

187/11 = 17

so I divided the money by the amount of hours

so I got how much she makes an hour which is $17.

18x17= 306

So I just multipled 18 hours by $17 to see how much she would make.

We were told that Blueberries cost $4.00 per pound. Thus, the amount of blueberries that can be bought for $12 is

12/4 = 3 blueberries

The cost of 5 pounds of blueberry would be

5 * 4 = $20