Multiply 0.006 by 3.08. Express in standard form​

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × \(\frac{7}{100}\)

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

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Answer:

One Apple.

Step-by-step explanation:

This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1

One apple.

Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.

In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given that, Elysia has 2 apples she gives 1 to her friend,

To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,

Number of apples Elysia left with = 2-1 = 1

Hence, Elysia will have one apple.

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Answer:

\(\boxed{9}\)

Step-by-step explanation:

The two angles are complementary to each other.

That means they add up to 90 degrees.

\(5x+15+30=90\)

\(5x+45=90\)

\(5x=45\)

\(x=9\)

Answer:

x = 9

Step-by-step explanation:

So you know that the total is 90 degrees.

What you need to do is create an equation.

5x + 15 + 30 = 90

Then, solve the equation like this.

5x + 15 + 30 = 90

5x + 45 = 90

5x = 90 - 45

5x = 45

x = 45 ÷ 5

x = 9

Hope this helps! :)

Answer:

Step-by-step explanation:

Initial condition:

3 red

2 blue

5 green

2/10 times 5/9=2/9 times 5/10 or 1/2 = 2/9 times 1/2=1/9

hope this helps have a good day too.

Answer:

C is 6.3

Step-by-step explanation:

We can apply the pythagorean theorum to find C.

A is 2, B is 6

A^2 + B^2 = C^2

2^2 + 6^2 = C^2

C^2 = 40

C = 6.32455532

Answer: 26 × 4

Step-by-step explanation: There are 26 letters in the alphabet lettered A through Z.

Deepak is given the choice of picking a four letter password of his liking, using any four letters. Since the letters he uses can be repeated, it is 26 * 4 possibilities, since there are 26 different possibilities of letters from the alphabet he could choose, for 4 times. Also, since letters can be repeated, 26 stays the same. If letters could not be repeated, it would be 26 * 25 * 24 * 23.

Answer:

B.  26⁴

Step-by-step explanation:

If the password is 4 letters long and he can repeat letters then:

Therefore, to find the total number of passwords he can create, simply multiply the number of permutations for each letter of his password:

⇒ 26 × 26 × 26 × 26 = 26⁴

Answer:

D

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides, image to original, that is

scale factor = \(\frac{P'S'}{PS}\) = \(\frac{6}{3}\) = 2 → D

The area of the rectangle for given coordinates is 16 square units.

The distance formula can be used to calculate the separation between two points on the xy-plane. The co-ordinate of a point is represented as an ordered pair (x, y), where the x-coordinate (or abscissa) is the distance from the x-axis and the y-coordinate (or ordinate) is the distance from the y-axis.

The distance formula is given as:

d = √(x2 - x1)² + (y2 - y1)²

The distance between the point GH is:

d = √(1 - 3)² + (4 - 6)²

d = √4 + 4

d = √8

The distance between GF is:

d = √(3 - 7)² + (6 - 2)²

d = √16 +16

d = √32

The length of the quadrilateral is √32 and the width is √8.

The area of the rectangle is given as:

A = (l)(b)

A = √32√8

A = √256

A = 16

Hence, the area of the rectangle for given coordinates is 16 square units.

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9514 1404 393

Answer:

  x = 18

Step-by-step explanation:

The parallel lines cut the transversals proportionally.

  (2x -1)/40 = 21/24

  2x -1 = 35 . . . . . . . multiply by 40

  2x = 36 . . . . . . . . add 1

  x = 18  . . . . . . . . . divide by 2

Answer:

Step-by-step explanation:

In order for a fraction to be a terminating decimal fraction, the denominator can only consist of powers of 2 and 5 (factors of 10).

__

The denominator factors as 99 = 3²·11. The denominator contains factors other than 2 and 5, so 44/99 cannot be written as a terminating decimal.

The decimal equivalent is ...

  \(\dfrac{44}{99}=\dfrac{4}{9}=0.\overline{4}\)

__

The numerator of each fraction can be found by multiplying the fraction by the desired denominator.

  3000(0.208) = 624   ⇒   0.208 = 624/3000

  125(0.208) = 26   ⇒   0.208 = 26/125

__

0.43 = forty-three hundredths = 43/100

Answer:

Hola, mi nombre es luis fernando garrapatoso por favor no burlarlse de mi apellido ,la respuesta es 3.4. 637 ft

Step-by-step explanation:

Asi es como se hace soy luis fernando garrapatoso :)

Let's take a look at each term separately.

15a^2b^2:

15 has factors 1, 3, 5, 15

a x a

b x b

-24ab

-24 has factors 1, 2, 3, 4, 6, 8, 12, 24

a

b

Now, we can see what each of these terms has in common. Both have a 3 in their factor lists, as well as one a and one b.

Therefore, the greatest common factor is 3ab.

Hope this helps!! :)

Answer:

3ab

Step-by-step explanation:

\(15a^{2} b^{2} - 24ab\) is divided by 3

\(5a^{2} b^{2} - 8ab\) take away a and b once

hope this helped!!!

\(5ab - 8\)

= 3ab

Salvage value is obtained by the following formula:

Where:

S = salvage value

P = original price

i = nominal depreciation rate

Y = age in years

So:

P = 10000

i = 0.08 x 2 = 0.16

Y = 5

Then the salvage value will be:

The salvage value of the asset after 5 years will be $4182.12

Answer:

21

400

Step-by-step explanation:

84:3=28 (km)

............

Answer:

25%

Step-by-step explanation:

She watched in total 60 movies. Out of that total, she rated 15 of them as very good. Thus, she rated 15/60 or 1/4 or a quarter of them as very good.

To convert 1/4 into a percentage, simply divide them and you get 0.25. The percentage is the first two digits after the decimal, which is 25%.

Answer:

Not a right triangle

Obtuse isosceles triangle.

Sides: J = 3.606   K = 6   L = 3.606

Step-by-step explanation:

hope helps you

have a nice day

The velocity of the two cars are 50km/hr and 60km/h

Velocity is the rate of change of distance with time. it is measured in meter per second and it is a vector quantity.

let the faster car be A and slower car be B

V(A) = V(B) +10

S( A) = v × t

S(B) = v(b) × t

S( A) = 5( v(b) +10)

S(A) +S(B) = 550

5v(b) +50+5vb = 550

10v(b) = 550-50

v(b) = 500/10

v(b) = 50km/h

v(a) = 50 +10

v(a) = 60km/h

Therefore the velocity of the two cars are 50km/h and 60 km/h

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The symbols which correctly relates the two numbers are :

We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.

100 is greater than 20, 100> 20

100 is greater than or equal to 20 , 100 ≥ 20

100 is not equal to 20 , 100≠20

Therefore, the symbols which relates the numbers are :

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We need to write the equation of the family of the lines with the following characterizing property.

j) x - intercept is twice y - intercept

X- intercept is the value of x when y= 0

Y- intercept is the value of y when x = 0

so, let y- intercept = a

x- intercept = twice y- intercept = 2a

So, the line will pass through the points: ( 2a , 0 ) and ( 0 , a )

The general equation of the line is : y = m * x + b

Where m is the slope and b is y - intercept

So, the equation of the family will be :

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

We have,

To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.

Let's go through the steps:

First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)

Now, let's differentiate f(w) with respect to w:

\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)

To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.

Using the power rule, the derivative of (w² - 4) with respect to w is 2w.

Applying the chain rule:

\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)

Simplifying further:

\(f'(w) = -40w(w^2 - 4)^{-6}\)

Therefore,

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

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The location of T is 3 units from the midpoint X or 6 units from the endpoint B

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Since one of the endpoints is BX and the endpoint is XT and the midpoint is X.

The distance between B and X is 3 units.

Since X is the midpoint, the distance between X and T is equal to 3 units.

Therefore, the distance between B and T is 6 units and the location of T is 3 units from X or 6 units from T.

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Answer:

16/3 or 5 1/3

Step-by-step explanation:

Answer:

2/3x8= 2/3x1/8= 6/8 if u simplifie it, it would be 3/4.

=3/4

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Answer: Let's call the number of pounds of Special blend added to the Smooth blend "x".

Since the price of the new blend is $6.00 a pound, the weighted average price per pound of coffee must also be $6.00.

To find the weighted average, we need to multiply the price of each blend by the number of pounds of each blend, and then divide by the total number of pounds of coffee.

This means that no Special blend should be added to the Smooth blend. If the goal is to create a new blend with a price of $6.00 per pound, it is not possible to achieve this goal by mixing the two blends.

Step-by-step explanation:

Here's the equation:

$6.00 = [20 * $6.00 + x * $6.50] / (20 + x)

Expanding the equation:

$6.00 = $120.00 + $6.50x / 20 + x

$6.00 = $120.00 / 20 + $6.50x / 20 + x

$6.00 * 20 + $6.50x = $120.00 + $6.50x

$120.00 + $6.50x = $120.00

$6.50x = 0

So x = 0.

This means that no Special blend should be added to the Smooth blend. If the goal is to create a new blend with a price of $6.00 per pound, it is not possible to achieve this goal by mixing the two blends.

Answer:

\(\mathbf{\dfrac{\partial f}{\partial x}= cos (-7x^2 -6x - 1)}\)

\(\mathbf{\dfrac{\partial f}{\partial y}= cos ( -7y^2 -6y-1)}\)

Step-by-step explanation:

Given that :

\(f(x,y) = \int ^x_y cos (-7t^2 -6t-1) dt\)

Using the Leibnitz rule of differentiation,

\(\dfrac{d}{dt} \int ^{b(t)}_{a(t)} f(x,t) dt= f(b(t),t) *b'(t) -f(a(t),t) * a' (t) + \int^{b(t)}_{a(t)} \dfrac{\partial f}{\partial t} \ dt\)

To find: fx(x,y)

\(\dfrac{\partial f}{\partial x}= \dfrac{\partial }{\partial x} [ \int ^x_y cos (-7t^2 -6t -1 ) \ dt]\)

\(\dfrac{\partial f}{\partial x}= \dfrac{\partial x}{\partial x} cos (-7x^2 -6x -1 ) - \dfrac{\partial y}{\partial x} * cos (-7y^2 -6y-1) + \int ^x_y [\dfrac{\partial }{\partial x} \ \{cos (-7t^2-6t-1)\}] \ dt\)

\(\dfrac{\partial f}{\partial x}= cos (-7x^2 -6x - 1) -0+0\)

\(\mathbf{\dfrac{\partial f}{\partial x}= cos (-7x^2 -6x - 1)}\)

To find: fy(x,y)

\(\dfrac{\partial f}{\partial y}= \dfrac{\partial }{\partial y} [ \int ^x_y cos (-7t^2 -6t -1 ) \ dt]\)

\(\dfrac{\partial f}{\partial y}= \dfrac{\partial x}{\partial y} cos (-7x^2 -6x -1 ) - \dfrac{\partial y}{\partial y} * cos (-7y^2 -6y-1) + \int ^x_y [\dfrac{\partial }{\partial y} \ \{cos (-7t^2-6t-1)\}] \ dt\)

\(\dfrac{\partial f}{\partial y}= 0 - cos ( -7y^2 -6y-1)+0\)

\(\mathbf{\dfrac{\partial f}{\partial y}= cos ( -7y^2 -6y-1)}\)

The probability of the flights at the airlines at least 4 of the next 5 are overbooked from the given histogram is equal to 0.446.

Histogram is attached.

As given in the question,

Required histogram is attached.

From the attached histogram,

Histogram is attached.

The probability of 4 overbooked flights for the given airlines 'P (4) =  0.332

The probability of 4 overbooked flights for the given airlines 'P(5)' = 0.114

Required probability of at least 4 for the next 5 flights of the given airlines

= P ( x ≥ 4 ) upto next P(5)

= P(4) + P(5)

= 0.332 + 0.114

= 0.446

Therefore, the probability of at least 4 upto next 5 flights of the given airlines from the given histogram is equal to 0.446.

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The given function f is increasing over the interval 0 < x < 2 and

decreasing over the interval 2 < x < 5.

What is a function?

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.

An example of a simple function is f(x) = x^2. In this function, the function f(x) takes the value of “x” and then squares it. For instance, if x = 3, then f(3) = 9. A few more examples of functions are: f(x) = sin x, f(x) = x^2 + 3, f(x) = 1/x, f(x) = 2x + 3, etc.

Now,

As the given function f is increasing till x<2 and increasing after x>2

Hence,

            f is increasing over the interval 0 < x < 2 and

decreasing over the interval 2 < x < 5.

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