What is the solution for this inequality !( pls help)

Answer:

t

12

/t

6

=t

12−6

=t

6

if this helps your welcome

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:

the mid point is 6,3

Step-by-step explanation:

the mid point is 6,3

The balance over the acceptable debt ratio is $1089.90.

A debt ratio calculates a company's leverage by comparing its total debt to its total assets.

Although this ratio varies greatly between industries, capital-intensive enterprises typically have significantly larger debt ratios than other types of businesses.

Divide total debt by total assets to find a company's debt ratio.

A debt ratio of less than 100% signifies a corporation has more assets than debt, and a debt ratio of larger than 1.0 or 100% means the opposite.

According to some sources, the debt ratio is calculated by dividing all obligations by all assets.

Given that, credit card balance = $3,589.90

credit limit = $5,000

Debt Ratio percentage = 50% = 0.50

The balance over is given as

balance = Current Balance - (Credit Limit × 0.50 )

balance = 3589.90 - (5000 × 0.5)

balance = 3589.9 - 2500

balance = 1089.9

Hence, the balance over the acceptable debt ratio is $1089.90.

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Answer:

We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:

Length of arc = (central angle measure / 360) x 2πr

where r is the radius of the circle.

Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:

6 = (40/360) x 2πr

Simplifying the fraction and solving for r, we get:

6 = (1/9) x 2πr

r = 9 x 6 / 2π

r = 27/π

So the radius of the circle is 8.59 cm (rounded to two decimal places).

Answer:

\(4 \times 4 + 4 \times 5 = 16 + 20 = 36\)

Answer:

dy/dx=-2y-5/2x

Step-by-step explanation:

Answer:

127.37

Step-by-step explanation:

520.16

- 392.79

= 127.37

Answer:

127.4 is the difference

Step-by-step explanation:

It's the difference because difference means subtraction, so you would just subtract the two numbers.

This question is incomplete, the missing diagram is uploaded along this answer below;

Answer:

horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

from the image,

We find the volume of the solid obtained by rotating the card around a horizontal line;

Volume of the cylinder V₁ = πr²h

given that; radii = 3 in and height = 5 in

we substitute

V₁ = π × (3)² × 5

V₁ =  π × 9 × 5

V₁ = 141.37 in³

Next we find the volume of the solid obtained by rotating the card around a vertical line;

Volume of the cylinder V₂ = πr²h

given that; radii = 5 in and height = 3 in

we substitute

V₂ = π × (5)² × 3

V₂ =  π × 25 × 3

V₂ = 235.62 in³

Hence horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )

Answer:

inc: -inf, 1

dec: 1, -inf

let me know if im wrong!!!

Answer:

\(\large\boxed{41.14 inches^2(2 d.p)}\)

\(\large\boxed{41.1inches^2 (1 d.p)}\)

Step-by-step explanation:

Important Information:

Area of a circle= \(\pi r^2\)

Area of a triangle= \(\frac{base*height}{2}\)

Diameter of a cirlce= \(2*radius\)

Method:

The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.

The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.

Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.

The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.

The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).

Step by Step:

1) Multiply 3 by 2.

\(3*2=6\)

2) Multiply 6 by 9.

\(6*9=54 inches^2\)

3) Divide 54 by 2.

\(54/2=27inches^2\)

4) Multiply pi by 3 squared.

\(\pi*3^2=28.27 inches^2 (2 d.p)\)

5) Divide 28.27 by 2.

\(28.27/2=14.14inches^2 (2 d.p)\)

6) Add 27 to 14.14.

\(27+14.14=41.14inches^2 (2 d.p)\)

Answer:

  9.  y = 1/8x -10

Step-by-step explanation:

Slope-intercept form is ...

  y = mx + b . . . . . . equation of a line with slope m and y-intercept b

The answer to question 7 tells you ...

  m = 1/8

The answer to question 8 tells you ...

  b = -10

Putting these values into the slope-intercept form gives the equation that answers question 9:

  y = 1/8x -10

Answer:

y=5/8x-10

Also for 8, the y-intercept means -10 meters in depth.

Answer:

\(x=11\)

Step-by-step explanation:

It is a linear pair

\(7x + 12 + 8x + 3 = 180\)

\(15x + 15 = 180-15\\15x = 165\)

\(x=11\)

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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The point in the solution set from the graph is (0, 0)

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

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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Answer:

The answer is 6.

Step-by-step explanation:

12/2=6

Hope this helps!

Answer:

\(\angle\,DGF=30^o\)

which agrees with the first answer listed among the possible options.

Step-by-step explanation:

Notice that if a circle is perfectly inscribed inside the triangle, the triangle must have the symmetries that correspond to an equilateral triangle (all equal sides). Such type of triangles have the three angles equal as well, and since they need to add to \(180^o\), they must measured each \(60^o\)

Now, the segment that joins the center of this symmetric triangle (also the center of the circle) with the triangle's vertices, has to bisect each each internal angle in equal parts.

Therefore, angle \(\angle\,DGF\) must measure half of  \(60^o\), that is:  \(30^o\)

Answer:

7 goals

Step-by-step explanation:

Jimmy scored 49 goals, and Tommy scored 7 times fewer than he did. We now know that an unknown number multiplied by 7 equals 49. This can be represented in an equation:

49/7 = x

x represents the amount of goals Tommy scored. Let's solve our equation to find the answer:

49/7 = 7

7 = x

Tommy scored 7 goals.

I hope this helps :)

Answer:

Find the coordinates of A and B.

Step-by-step explanation:

Coordinates of A = (-3, 1)

Coordinates of B = (-1, -1)

So you got

x1 = -3, x2 = -1

y1 = 1, y2 = -1

\(\sqrt{(-1-(-3))^{2}+(-1-1)^{2}}\\\sqrt{4+4} =\sqrt{8} =2\sqrt{2}\)

Ans: \(2\sqrt{2}\)=2×1.4 = 2.8

Answer:

41,6 cm

Step-by-step explanation:

Formula for Perimeter of a rhombus:  P = 2L + 2H (H is the height, L the length)

Perimeter:  160 cm = 2L + 2(38,4 cm), or

160 cm + 76.8 cm + 2L, or

83.2 cm = 2L

and so the height (altezza) is H = 83.2 cm / 2 = 41,6 cm

The box plot that best represents the data is given as follows:

Box plot C.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The ordered data-set for this problem is given as follows:

0, 4, 4, 5, 6, 6, 8, 8, 12, 12.

The minimum and maximum values are given as follows:

The two middle elements are given as follows:

6 and 6.

Hence the median is:

(6 + 6)/2 = 6.

The first half is 0, 4, 4, 5, hence the first quartile is given as follows:

4.

The second half is 8, 8, 12, 12, hence the third quartile is given as follows:

8.

Hence box plot C is the correct option.

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Answer:

-51

Step-by-step explanation:

3-24+72=0

75-24=0

51=0

Answer:

12

Step-by-step explanation:

12/4=3

3^2=9

3+9=12

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

Step-by-step explanation:

it will 2.5 this is right answer option D

The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a sequence:

12, 30, 75, 187.5

The above sequence is a geometric sequence.

The common ratio can be calculated:

r = 30/12 = 75/30

r  = 2.5

Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

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The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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Answer:45%

Step-by-step explanation:

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

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