A construction crew has just built a road. They built the road at a rate of 3 kilometers per week. They built 7.68 kilometers of road. How many weeks did it take them

The amount of kinetic energy required to move a couch is most likely to be a function of the weight of the couch.

In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity.

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer: The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.

Answer:

No, 3:15 is not equivalent to 1:

Step-by-step explanation:

3:15 cannot be equivalent to 1: because they are completely different numbers. You could try to find the factors of them to see if they are equivalent or not. So the answer would be no, 3:15 isn't equivalent to 1:

Thank you.

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer: it went up 25%

Step-by-step explanation: if it would have went up 50%, that would be $20, meaning it would be $60. It is 25% and it is half of 50% and half of $20 is $10 equaling $50

A $40 autographed and framed poster of the Spice Girls goes up in price to $50. What is the percent of increase in the price?

=

25% increase

Answer:

102200

Step-by-step explanation:

564+458= 1022

1 decagram=100 decigram

So multiply the sum by 100

1022*100=102200

the mean absolute deviation for the high temperatures in Julia's town for the week is 4.9 degrees.

How to solve the question?

To find the mean absolute deviation (MAD) for the high temperatures in Julia's town, we first need to find the mean temperature for the week.

To do this, we add up all the temperatures and divide by the number of temperatures:

(49 + 55 + 42 + 46 + 47 + 42 + 38) ÷ 7 = 43.3

The mean temperature for the week is 43.3 degrees.

Next, we need to find the distance of each temperature from the mean. To do this, we subtract the mean from each temperature:

|49 - 43.3| = 5.7

|55 - 43.3| = 11.7

|42 - 43.3| = 1.3

|46 - 43.3| = 2.7

|47 - 43.3| = 3.7

|42 - 43.3| = 1.3

|38 - 43.3| = 5.3

We take the absolute value of each difference to ensure that the distances are positive.

Now, we find the mean of the distances by adding up all the distances and dividing by the number of temperatures:

(5.7 + 11.7 + 1.3 + 2.7 + 3.7 + 1.3 + 5.3) ÷ 7 = 4.9

Therefore, the mean absolute deviation for the high temperatures in Julia's town for the week is 4.9 degrees.

In conclusion, the mean absolute deviation is a measure of the variability of a set of data. It is calculated by finding the mean of the absolute distances of each data point from the mean. In this case, the MAD is 4.9 degrees, indicating that the temperatures for the week were relatively close to the mean.

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Answer:

$8.64

Step-by-step explanation:

Since she buys 2 candys for 0.68 you multiply it by two

(0.68x2)

Then you get $1.36 So her candy cost $1.36

Now you take her 10.00-1.36 and you get 8.64 dollars or change left.

I hope this was helpful :)

Answer:

she will receive $8.64 of change

Step-by-step explanation:

2x0.68= 1.36 (2 for the 2 candies and 0.68 for the price of each one)

10-1.36=8.64 (subtract $1.36 from 10)

Answer:

the difference is that the 2 extra LARGE containers weigh bigger than the

6 small ones

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

Since,

3a + a + 2a + 2a = 360°

Answer:

Wow this hard

Step-by-step explanation:

X∞

k=1

k(k + 2)

(k + 3)2

is convergent or divergent. If it is convergent, find its sum.

Answer: This series diverges. To see this, I will show that the terms in the sequence do not

go to zero:

lim

k→∞

k(k + 2)

(k + 3)2

= lim

k→∞

k

2 + 2k

k

2 + 6k + 9

.

Dividing numerator and denominator by k

2 yields

lim

k→∞

1

k

2

1 + 2

k

1

k

2

1 + 6

k +

9

k

2

= lim

k→∞

1 + 2

k

1 + 6

k +

9

k

2

= 1.

Therefore, using the nth term test (a.k.a. Test for Divergence), the series diverges

Answer:

17 ÷ 506 = 0.0335968379

506 ÷ 17 = 29.7647059

Answer:

90.2mm

Step-by-step explanation:

find the circumference and divide by two then add the two sides

circumference= 2πr=2π(16)

100.48/2= 50.24

50.24+20+20=90.24mm then round to 90.2

Answer:

What is the measure of angle D?

52o

Angle D = 360-128-126-54 = 52o

Step-by-step explanation: got it right on edge

Since the sum of the angles in a quadrilateral is 360 degrees then the angle D is 50 degrees.

A quadrilateral is a four sided figure. Examples of quadrilaterals include; square, parallelogram, rectangle, kite etc.

The sum of angles in a quadrilateral is 360  degree hence;

A + B + C + D = 360 (sum of angles in a quadrilateral)

128 + 126 + 54 + D = 360

D = 360 - ( 128 + 126 + 54)

D = 50 degrees

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Answer:

6/25

Step-by-step explanation:

1. \(2\frac{2}{5} = \frac{12}{5}\)

2. \(\frac{12}{5}\) ÷ \(10\)

3. \(\frac{12}{5}(\frac{1}{10} )\)

4. \(\frac{12}{50} = \frac{6}{25}\)

Answer:

2.8

Step-by-step explanation:

Answer:

30.8/11=2.8

11/30.8=0.357142857

Step-by-step explanation:

give me brainlest please

Answer:

At the value of x = 3 the function H(x) is undefined. (answer is 3)

Step-by-step explanation:

h (x) = 1/(x-5)2 + 4 (x-5) +4

Solution :

We know that for the values of x where denominator is zero the function H(x) is not define.

(x -5)2 +4 (x -5 ) +4 = 0

x2 -6x +9 =0

x2 - 3x - 3x +9 = 0

(x - 3)2 = 0

So x= 3

At x = 3 the function H(x) is undefined. (3 is your answer)

Answer:

width = 17 m ; length = 31 m

Step-by-step explanation:

w = width

l = length

perimeter of a rectangle = (length + width) * 2

l = 14 + w

(14 + w + w) * 2 = 96

(14 + 2w) * 2 = 96

28 + 4w = 96

4w = 68

w = 17 m

l = 14 + 17 = 31 m

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way as before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equations:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

The solution of the equation is x = -1.

Given is an equation we need to solve it,

3x/4 + 3 - 2x = -1/4 + x/2 +5

Multiplying the equation by 4 both the sides,

3x + 12 - 8x = -1 + 2x + 20

Combining the like terms,

3x - 8x - 2x = 20 - 1 - 12

3x - 10x = 7

-7x = 7

x = -1

Hence the solution of the equation is x = -1.

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Thermal energy can be used in the heating systems either at home or in the industries

However, when solar energy is converted to thermal energy, the radiant energy from the sunlight is converted into heat which can then be used as space and hot water heating, power generation and industrial process heat

Energy simply refers to the capacity of doing work. Some forms of energy are:

So therefore, thermal energy can be used in the heating systems either at home or in the industries.

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Answer:

yes ur friend is correct

Step-by-step explanation:

because the value of x .

The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x

Answer:

A)-4

Step-by-step explanation:

180=120+x+64

x=180-120-64

x=-4

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

Please help me important quePlease help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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