Question 6 of 10
Which statement describes a liquid that has high surface tension?
A. Molecules at the surface are moderately attracted to the
molecules below.
B. Molecules at the surface are strongly attracted to the molecules
below.
C. Molecules at the surface are weakly attracted to the molecules
below.
D. Molecules at the surface have no attraction to the folecules
below.
Folecules
SUBMIT
science

Answer: ME

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius r=C/2π

r=47/2π

r=47/ 6.2831853071796

r=7.48028233

Answer: x=4

Step-by-step explanation:

6x + 10 = 5x + 14

x + 10 = 14

x = 4

Answer:

Step-by-step explanation:

First find the hyp..

6^2 + 20^2 = x^2

x = 20.88

Using x, we now know the extra height missing from the original tree height, so we add 6 to find the original.

20.88 + 6 = 26.88ft

The tree was 26.88 feet tall before the storm.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

We have Perpendicular = 6 feet

and, base = 20 feet

Using Pythagoras theorem we get

H² = P² + B²

H² = 6²+ 20²

H²= 36+400

H² = 436

H = 20.88 feet

thus, the height of the tree = 20.88 + 6 = 26.88 feet

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Answer:

Never second guess yourself

Step-by-step explanation:

Answer:

y>9x+6

Step-by-step explanation:

y-9x+(9x)>6+(9x)

y>9x+6

Answer:

To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25

We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.

0.10d + 0.05n = 5.25

0.10(21) + 0.05n = 5.25

2.10 + 0.05n = 5.25

0.05n = 3.15

n = 3.15 / 0.05

n = 315 / 5

n = 63

Sonji has 63 nickels.

Let's check our answer.

21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25

It seems that our answer is correct.

Step-by-step explanation:

Answer:

she has 63 nickels

Step-by-step explanation:

21 dimes = 2.10$

5.25 - 2.10 = 3.15

3.15 ÷ 0.05 = 63

63 = 63 nickles

Hope this helped :3

Answer:

the movie started at 3:20

Step-by-step explanation:

4:40 subtracted by 1:20 would be 3:20 :)

The square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

Square is a two-dimensional shape with four equal sides and four right angles. It is one of the most common shapes in geometry. Squares have many practical uses, such as in forming grids, creating patterns, and making tiling. Squares are also used in art and architecture, as well as in construction, mathematics, and science.
To solve this problem, we will use the formula for the volume of a rectangular box, V = lwh. We can substitute the given values to solve for x. First, we will find the length and width of the box after the square corners are cut out:

Length = 20 - 2x

Width = 14 - 2x

Now, substituting these values into the volume formula, we get:

288 = (20 - 2x)(14 - 2x)h

Expanding and simplifying, we get:

288 = 280 - 56x + 4x^2

Subtracting 280 from both sides, we get:

8 = -56x + 4x^2

Solving for x, we get:

4x^2 - 56x + 8 = 0

Using the quadratic equation, we get x = 2.4 or x = 0.4

Since x must represent a length, we can discard the negative solution, x = 0.4. Therefore, the square that must be cut from each corner of the cardboard to form a box with a volume of 288 cubic inches is 2.4 inches on each.

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Hello!

First of all, let's remember when a relation is also a function:

• To be a function, it must follow two rules:

• All elements in the domain has a range.

• Each element in the domain has only one range.

Answer:

10x + 30

Step-by-step explanation:

That's the answer!

Based on the description, it is not possible to provide a specific answer without a visual representation of the dot plot. However, I can explain each term and help you identify the correct answer once you examine the dot plot.


a) Approximately normal: The dot plot would resemble a bell curve, with most points centered around the mean and symmetrically distributed on both sides.
b) Bimodal without a gap: The dot plot would have two distinct peaks, but the points are continuous and do not have a gap between them.
c) Bimodal with a gap: The dot plot would have two distinct peaks, with a clear gap separating them.
d) Skewed to the right without a gap: The dot plot would have a longer tail on the right side, indicating higher values, with no gap in the data.
e) Skewed to the right with a gap: The dot plot would have a longer tail on the right side, indicating higher values, and a clear gap in the data.

To determine the correct answer, examine the dot plot and identify its shape based on the explanations provided above. Then, choose the option that best describes the dot plot.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Answer:

15

Step-by-step explanation:

Hope this helps

add 12 and 3 and you get 15

multiply 8 and 5 and you get 40

subtract 40 from 15 you get 24

yeeeeeeeeeeeeeeee

The range of the function f(x) = \(-2^{x}\) + 4 is -∞ < y < 4.

What is range of a function?

All potential values for y are included in a function's range. The equation to determine a function's range is Y = f. (x). If every x value has exactly one y value, then it is merely a function in a relation.

We are given a function which is defined as  f(x) = \(-2^{x}\) + 4.

We know that range is the output we get after substituting the value of x.

So, in this situation, we will get the value for y less than 4 or equal to 4 because when x = 0, we will get 4 and when x = 1, we will get 2 as there is a minus sign before 2 due to which this will be always a negative value.

Thus, the range of the function will be -∞ < y < 4.

Hence, the third option is the correct option.

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Answer:

The sale price is 25.5$ The relationship is that the sale price is 15% less than the regular price.

Step-by-step explanation:

How to find sales price: 30=100% 30÷10=3=10% 3÷2=1.5=5%

Sales price = 3+1.5=4.5, sales price= 30-4.5=25.5

Answer:

the 3x +7 I think?

Step-by-step explanation:

correct me if I'm wrong

Answer:

= 4/ 3

Step-by-step explanation:

-x+3/7=2x-25/7

We move all terms to the left:

-x+3/7-(2x-25/7)=0

We add all the numbers together, and all the variables

-x-(+2x-25/7)+3/7=0

We add all the numbers together, and all the variables

-1x-(+2x-25/7)+3/7=0

We get rid of parentheses

-1x-2x+25/7+3/7=0

We multiply all the terms by the denominator

-1x*7-2x*7+25+3=0

We add all the numbers together, and all the variables

-1x*7-2x*7+28=0

Wy multiply elements

-7x-14x+28=0

We add all the numbers together, and all the variables

-21x+28=0

We move all terms containing x to the left, all other terms to the right

-21x=-28

x=-28/-21

x=1+1/3

Answer:

x = \(\frac{4}{3}\)

Step-by-step explanation:

Given

- x + \(\frac{3}{7}\) = 2x - \(\frac{25}{7}\) ( multiply through by 7 to clear the fractions )

- 7x + 3 = 14x - 25 ( subtract 14x from both sides )

- 21x + 3 = - 25 ( subtract 3 from both sides )

- 21x = - 28 ( divide both sides by - 21 )

x = \(\frac{-28}{-21}\) = \(\frac{4}{3}\)

Answer:

D. 160

Step-by-step explanation:

The exact numerical value of this expression depends on the precision of the decimal approximations of e.

To find the area A of the region bounded between the curve f(x) = 4 - e²x - 1 and the line g(x) = 2x + 1 over the interval [-2, 2], we need to calculate the definite integral of the absolute difference between the two functions over that interval.

Let's denote the absolute difference between f(x) and g(x) as h(x):

h(x) = |f(x) - g(x)| = |(4 - e²x - 1) - (2x + 1)| = |3 - e²x - 2x|

To find the area A, we integrate h(x) over the interval [-2, 2]:

A = ∫[-2,2] |3 - e²x - 2x| dx

Since the integrand is not continuous on the interval, we need to break it down into two separate integrals based on the intervals where the function changes sign. In this case, it happens at x = -1.

Therefore, the area A is given by:

A = ∫[-2,-1] (e²x + 2x - 3) dx + ∫[-1,2] (-e²x - 2x + 3) dx

Evaluating the integrals, we get:

A = [e²x + x²2 - 3x] [-2,-1] + [-e²x - x²2 + 3x] [-1,2]

Substituting the limits of integration, we have:

A = [(e²-1 + 1 - 3) - (e²-2 + 4 - 6)] + [(-e²2 - 4 + 6) - (-e²-1 - 1 + 3)]

Simplifying, we get:

A = [-e²-2 + e²-1 - 1] + [-e²2 + e²-1 + 3]

Therefore, the exact area A of the region bounded between the given curve and line over the interval [-2, 2] is:

A = -e²-2 + e²-1 - 1 - e²2 + e²-1 + 3

Note: The exact numerical value of this expression depends on the precision of the decimal approximations of e.

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*Answer:

X=0   Y=-2

Step-by-step explanation:

4*(7X-5Y)-5*(-6X-4Y)=4*10-5*8

28X-20Y+30X+20Y=0

58X=0

X=0

-5Y=10

Y=-2

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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(a) The coordinates of the two focal points of the ellipse x^2/9 + y^2/25 = 1 are (-4, 0) and (4, 0).

(b) The eccentricity of the ellipse is √(1 - b^2/a^2) = √(1 - 25/9) = √(16/9) = 4/3.

(a) The general equation of an ellipse centered at the origin is x^2/a^2 + y^2/b^2 = 1, where a is the semi-major axis and b is the semi-minor axis. Comparing this with the given equation x^2/9 + y^2/25 = 1, we can see that a^2 = 9 and b^2 = 25. Therefore, the semi-major axis is a = 3 and the semi-minor axis is b = 5. The focal points are located along the major axis, so their coordinates are (-c, 0) and (c, 0), where c is given by c^2 = a^2 - b^2. Plugging in the values, we find c^2 = 9 - 25 = -16, which implies c = ±4. Therefore, the coordinates of the focal points are (-4, 0) and (4, 0).

(b) The eccentricity of an ellipse is given by e = √(1 - b^2/a^2). Plugging in the values of a and b, we have e = √(1 - 25/9) = √(16/9) = 4/3. This represents the ratio of the distance between the center and either focal point to the length of the semi-major axis. In this case, the eccentricity of the ellipse is 4/3.


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Total length of the trim painted is 15.75 unit.

Given:

Find:

Total length of the trim painted

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(-2 - 2)² + (4 - 2)²

Distance between AB = √16 + 4

Distance between AB = 2√5 unit = 4.47 unit

Distance between BC = √(2 + 1)² + (2 + 2)²

Distance between BC = √9 + 16

Distance between BC = 5 unit

Distance between AC = √(-2 + 1)² + (4 + 2)²

Distance between AC = √1 + 36

Distance between AC = √37 unit = 6.08 unit

Total length of the trim painted = 4.47 + 5 + 6.08

Total length of the trim painted = 15.75 unit (Approx.)

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Answer:

The total cost is $850

Step-by-step explanation:

From the function

C = 2T + 250

where

T is the number of T-shirts they purchase.

If the the shop purchases 300 T-shirts, then it means

T = 300

substituting into the function, we have

C = 2(300) + 250

C = 600 + 250

c = $850

Answer:

I think it would be 45 degrees

Answer:

A complementary angle would be two different angles that add up to 90 degrees. If you have an angle of 60 degrees, the other side would have to be 30 to be complementary.

Answer:

2( 4 + 2X) = 3x + 4

8 + 4x = 3x + 4

8 + 4x - 3x - 4 = 0

x + 4 = 0

x = -4

Step-by-step explanation: