8. Nolan wants to save $180 for a new video game system. If he makes $6 a week doing chores, how many weeks will it take him? А 3 weeks B. 30 weeks c. 120 weeks D. 240 weeks

Answer:

3.8

Step-by-step explanation:

3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8

The solution to the inequality expression is -8/9 ≤ x ≥ 4/9

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

|3x + 6/9| ≥ 2

Expand the inequality expression

So, we have

-2 ≤ 3x + 6/9 ≥ 2

Subtract 6/9 from both sides

So, we have

-24/9 ≤ 3x ≥ 12/9

Divide through the equation by 3

-8/9 ≤ x ≥ 4/9

Hence, the solution to the inequality expression is -8/9 ≤ x ≥ 4/9

The graph is attached

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Answer:

the answers are -1, 0, 3, and 5

Step-by-step explanation:

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

Answer:

6x² + 6

Step-by-step explanation:

→ Substitute g into f

3 ( 2x² ) + 6

→ Simplify

6x² + 6

Answer:

id.k sorry

Step-by-step explanation:

Answer:

y is g x 4

Step-by-step explanation:

3 x c = 4

c v v tusi

The next three numbers here would be 0, 10, 1011, 1031, 102113, 10311213, 10411223, 1031221314, 1041222314.

The term number sequence is used to refer to the list of numbers that have the relationship of having a linked rule. The number that follows in the sequence has to be worked out from the previous numbers in that particular sequence. You have to follow the particular rule to be able to work out the number that has to follow in the sequence.

For example we have these numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 etc. We would have to understand the pattern of numbers that are in the sequence. We can see that there is a difference of 3 between the number that succeeds the previous one in the sequence.

The first value here is given to be 0

Next we have the 1 0 = 10

The next that we have is 1 0 and 1 1 written as 1011

Next is 1 zero and three one = 1031

We continue to follow the pattern till we arrive at 1041222314. This is where the sequence would then have to stop.

Hence we have to conclude that the next numbers are 10411223, 1031221314, 1041222314.

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The sixth chapter's Brother 0.66 pages were read.

According to the order of operations, you should perform multiplication and division first, going from left to right, before adding and subtracting.

Add and subtract from left to right while continuing to multiply and divide. the next step is to add and subtract from left to right.

Assumed the question is how many pages are in each chapter.

Let it be x:

6x + 8 = 12

6x = 4

x = 4 /6

x = 0.66.

The sixth chapter's Brother 0.66 pages were read.

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The DWest company has the lowest rate per minute which is 14.75.

The first company is AB and C

Given that: the price = is $ 19.95 and the time taken is 100 minute

Therefore the rate per unit of time for AB and C companies is

\(\frac{Price}{Time} = \frac{19.95}{100} = 0.1995\)

The second company is Berizon

Given that: the price = is $ 24.95 and the time taken is 150 minute

Therefore the rate per unit of time for Berizon companies is

\(\frac{Price}{Time} = \frac{24.95}{150}= 0.1663\)

The third company is Cinguling

Given that: the price = is $ 9.95 and the time taken is 60 minute

Therefore the rate per unit of time for Cinguling companies is

\(\frac{Price}{Time} = \frac{9.95}{60} = 0.1658\)

The fourth company DWest

Given that: the price = is $ 14.75 and the time taken is 100 minute

Therefore the rate per unit of time for DWest companies is

\(\frac{Price}{Time} = \frac{14.75}{100} = 0.1475\)

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Complete the question in the form of a table:

The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

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

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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Answer:

1. y = 2x + 7

Step-by-step explanation:

The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).

Answer:

356.89$

Step-by-step explanation:

259.9 + 62.99 = 322.98, 8.25% + 2.25 = 10.5 tax rate... So 322.98 + 10.5% = 356.89$

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

cos A=   36/45

        = 0.8

Step-bcoy-step explanation:

Answer:

\(3 + 4 = 7\)

PLEASE FOLLOW ME

Answer:

The answer is 7

-- i have attached a picture of the graph

- in order to graph, plug in values for x and find y

- this would create order pairs which you will plot.

some order pairs:

(0,0)

(1,3)

(2,6)

Answer: Plot the two points (0,0) and (1,3). Draw a straight line through them. The graph is shown below.

===========================================================

Explanation:

When x = 0, we have y equal to...

y = 3x

y = 3*0

y = 0

So this means (x,y) = (0,0) is one point on the line

Let's follow those steps for x = 1

y = 3x

y = 3*1

y = 3

So the point (x,y) = (1,3) is also on the line.

You can repeat this process for any x value you want; however, we only need two points to form the line. Plot (0,0) and (1,3). Then draw a straight line through both points. Extend the line as far as you can in either direction. This forms the graph of y = 3x.

You can use a graphing calculator (eg: TI83) to get the job done. Or you can use a free online resource such as GeoGebra or Desmos. I prefer GeoGebra as it offers more options. The graph shown below was made with GeoGebra.

Note that moving from point A(0,0) to B(1,3) has us move up 3 and over to the right 1. This is due to the slope of 3 = 3/1.

y = 3x is the same as y = 3x+0. It is of the form y = mx+b with m = 3 = 3/1 as the slope and b = 0 as the y intercept.

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

Population of the 48th generation will be 4469.

Step-by-step explanation:

Recursive formula by which the population is increasing,

\(L_{n+1}=L_n+95\)

L₀ = 4

Common difference 'd' = 95

Recursive formula represents a linear growth in the population.

Therefore, explicit formula for the given sequence will be,

\(L_n\) = L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]

Here n = Number of terms

L₄₈ = L₀ + (48 - 1)(95)

     = 4 + 4465

     = 4469

Therefore, population of the 48th generation will be 4469.

Answer:

a. for positive odd integers starting 1 and increaments by 2:

     ( first odd number ) + 2 ∈ S

b. for positive integer powers of 3 :

      3( integer ) ∈ S

c. for integer coefficient of the given polynomial :

      s. t ∈  S     ,      s - t ∈ S      and      s +  t  ∈  S

Step-by-step explanation:

the odd number starts with 1 and increases by two, and the set of that would range from 1 to infinity.

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

Step-by-step explanation:

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

En este problema se trata de una función exponencial, donde la cantidad de microbios en el recipiente se duplica cada minuto.

Si x representa el número de minutos transcurridos y y la cantidad de microbios en el recipiente, entonces se puede expresar la función exponencial como:

y = a * (2)^x

Donde "a" es la cantidad inicial de microbios en el recipiente, en este caso a = 1.

Después de 30 minutos, la cantidad de microbios en el recipiente es:

2^30 = 1,073,741,824

Esto significa que si se coloca un solo microbio en el recipiente, se tardará 30 minutos en llenarlo.

Si se colocan 2 microbios en el recipiente, entonces la cantidad inicial de la función exponencial es a = 2, y se busca el valor de x tal que:

2 * (2)^x = 1,073,741,824

Dividiendo ambos lados por 2, se tiene:

(2)^x = 536,870,912

Tomando logaritmos base 2 en ambos lados, se tiene:

x = log2(536,870,912) = 29

Por lo tanto, si se colocan 2 microbios en el recipiente, se tardará 29 minutos en llenarlo.

Step-by-step explanation:

Answer:

work is shown and pictured

Correct Answer would be

D: (2,3)

Answer:

50

Step-by-step explanation:

Given

first term (a) = 6

Common Difference (d) = 1 - 6 = - 5

Last term (tn )= - 239

Number of terms (n) = ?

We know

Tn = a + ( n - 1 ) d

- 239 = 6 + (n - 1) (-5)

- 239 = 6 - 5n + 5

- 239 = 11 - 5n

5n = 11 + 239

5n = 250

n  = 250 / 5

n = 50

The number of terms is 50.