A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?

Answer:

Step-by-step explanation:

The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.

The values coming in the interval (-3,1] are -2, -1, 0, and 1.

The given interval notation is;

(-3,1], it is the case of half open half close.

-3 comes with the open interval, it means its value will not be included in the interval.

1 is with the closed interval, it means its value will be included in the interval.

Thus, the values lying between the interval (-3, 1] are  -2, -1, 0, and 1.

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Answer: all my caculations are leading me to B

Answer:

I think its either C or D. Hope this helps, give brainliest if correct!

-3r+8+2r=-1

-3r+2r=-1-8

-3r=-9r=9

Answer:

r=9

Step-by-step explanation:

-3r+8+2r=-1

-3r+2r+8=-1

-r+8=-1

-r+8-8=-1-1

-r=-9

-r/-1=-9/-1

r=9

Answer:

4.2 kilometers

Step-by-step explanation:

3/5 simplified =.6 each day .6 x7 days =4.2 kilometers

Using probabilities, it is found that the expected profit of one round of this game is of $0.

A probability is the number of desired outcomes divided by the number of total outcomes.

Hence, since the coin and the dice are independent, the probability of winning is:

\(p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}\)

The expected value is the sum of each outcome multiplied by its respective probability.

In this problem:

Then:

\(E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0\)

The expected profit of one round of this game is of $0.

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Answer:

18 ft* (1 piece/ 1 1/3 ft)= 13.5 pieces.

Step-by-step explanation:

Answer:

$60 in interest

Step-by-step explanation:

To find interest, use the tried and true method of I = Prt (I is the interest, P is the principal, r is the rate, and t is the time (in years))

I = 500* 2 * 6% (What I do is go on and multiply the principal by the time)

I = 1,000 * 6% (Now to convert 6% and 1,000 into fractions)

I = 1,000/1 * 3/50 (Cross-cancel if needed here; The GCF of 50 and 1,000 is 50)

I = 20/1 * 3/1 (Just remove the /1 part here, they're wholes!)

I = 20 * 3 (Multiply and you have your answer!)

I = $60

Answer:

Ivanna after 2 years of 6% intrest will have 561.8 $ in her accout.

Step-by-step explanation:

500 times 6% can be done like 500 x 0.06 which is 30. So 530. Then 530 time the 6% which is 530 x 0.06 is 31.8. So 530 + 31.8 = 561.8$

Answer:

x = 60°

Step-by-step explanation:

      A circle, or "all the way around," is 360°

      The square represents 90°

360° = 90° + (2x - 10)° + (2x + 40)°

360° = 90° + 2x° - 10° + 2x° + 40°

360° = 2x°+ 2x° + 40° + 90° - 10°

360° = 4x° + 120°

240° = 4x°

60° = x

x = 60°

Answer:

The answer is B

Step-by-step explanation:

It's asking what the X values are, meaning only the (X,y) the x part of the coordinates

Step-by-step explanation:

Answer:

Its 2 − 5 x − 1 = 0

Step-by-step explanation:

The electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.

The electric field is a vector field that represents the force experienced by a charged particle due to an electric charge distribution. It is a measure of the electric force per unit charge at a particular point in space. The electric field is defined as the negative gradient of the electric potential, which is the energy per unit charge that a charged particle would have at that point in space. The electric field can be used to calculate the force experienced by a charged particle in the presence of other charges, and is a fundamental concept in the study of electromagnetism.

The electric field force between two point charges is given by Coulomb's law:

F = k * (q₁ * q₂) / r²

where k is the Coulomb constant (8.99 x 10⁹ N m²/C²), q₁ and q₂ are the magnitudes of the charges, and r is the distance between the charges.

To calculate the work done by the electric field force, we need to find the force at the initial distance (0.30 m) and the final distance (1.05 m), and then subtract the work done at the initial distance from the work done at the final distance.

At a distance of 0.30 m, the force is:

F = k * (1.75 x 10⁻⁸ C)² / (0.30 m)² = 4.02 x 10⁻⁸ N

The work done at this distance is:

W = F * 0.30 m = 1.21 x 10⁻⁷ J

At a distance of 1.05 m, the force is:

F = k * (1.75 x 10⁻⁸ C)² / (1.05 m)² = 1.33 x 10⁻⁸ N

The work done at this distance is:

W = F * 1.05 m = 1.40 x 10⁻⁷ J

Finally, to find the total work done, we subtract the work done at the initial distance from the work done at the final distance:

W total = W final - W initial = 1.40 x 10⁻⁷ J - 1.21 x 10⁻⁷ J = 1.90 x 10⁻⁸ J.

Therefore, the electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.

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Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Note that the parameters of the graph a and graph b are given below.

Graph A - y=2(x-1)²

See graph attached.

Graph B - y = 1/2x² + 3

Vertex: The vertex of the function is (0, 3).

Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.

Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).

Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.

Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.

0 = 1/2 x² + 3

Subtracting 3 from both sides, we get:

-3 = 1/2 x²

Multiplying both sides by -2, we get:

6 = -x²

Taking the square root of both sides, we get:

x = ±√(-6)

Since the square root of a negative number is not a real number, the function has no real roots.

Minimum or maximum value: The minimum value of the function is 3.

Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.

Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.

Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.

See graph attached.


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Answer:

option D is the correct option.

Please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment.

Answer:

21.5°

Step-by-step explanation:

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Answer: A) 6x = 54; x = 9 times older

Step-by-step explanation:

9 x 6 = 54

The correct answers are:

To find the difference between two numbers, you simply subtract the smaller number from the larger number. Here are the steps:

For example, let's find the difference between 8 and 3:

Identify the larger number and the smaller number. In this case, 8 is the larger number and 3 is the smaller number.

Subtract the smaller number from the larger number:

8 - 3 = 5

The difference between 8 and 3 is 5.

So in general, the formula for finding the difference between two numbers, x and y, is:

x - y = difference

Where "difference" is the result of subtracting y from x.

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Answer:

corresponding angles.

Answer:

Alternate exterior angles

Step-by-step explanation:

Not sure though

Answer:

1. y=3x

2. y=1x

3. y=7x

4. y=1x+7

5. y=3x-3

6. y=12x+2

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

The statement that is true for the given figure will be AD/DC = AB/CB.

So the correct option is A.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

The triangle ABC is divided into two triangle by a median DB that are;

Triangle ADB and Triangle ADC

So here the proportion form as;

AD/DC = AB/CB.

Therefore, The statement that is true for the given figure will be AD/DC = AB/CB.

So the correct option is A.

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Answer:

4a^(3)b-8a^(2)b^(2)+2ab^(3)

Step-by-step explanation:

Answer:

\( \sqrt{2} \: \: \: \: \: \: \frac{ \pi}{2} \: \: \: \: are \: \: \: \: the \: \: \: \: answers\)

Divisor is an integer, not equal to zero.

A divisor is a number that divides another number either outright or with a remainder. The divisor is represented in the division formula as follows:

Dividend ÷ divisor = quotient.

A divisor is any number that divides another number.

A factor is a divisor but all divisors are not factors.

Given expression,

33 + 63 - 222 - 4

= 96 - -226

= - 130

The dividend is an integer, divisor can be any integer except 0.

Hence, divisor can be any integer except 0.

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Answer:

1, 2, 3, 6

Step-by-step explanation:

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer: first one a+3

next one 3(a+3)

next one (a+3)-3

next one a*3

part b

D divided by 4

D-4

4 divide by D

4-D

Step-by-step explanation:

a) 4.71ft

b) 3.53ft^2

Step-by-step explanation:

Perimeter is 1/2 the circumference

1/2 Circumference = 2*pi*radius

Radius = 1/2 Diameter

Radius = 3/2 = 1.5ft

Circumference = 2*pi*1.5ft = 9.42

1/2 Circumference = 4.71

4.71ft is the perimeter.

The area is 1/2 that of a full circle

A = pi*r^2

A = 3.14*1.5*1.5

A = 7.065ft^2

1/2 A = 3.53ft^2

Ms. smith saved $0.26 from the purchase

What is 5% discount?

5% discount means that 5% of the list price of $5.20 would be given off the price such that Ms Smith only pays 95% of the price of the items bought from Starbucks , bearing in mind that the initial price of $5.20 is 100% price amount, hence, by deducting a discount of 5%, we are left with a discounted price of 95%

Discounted price=(100%-discount rate)*initial price

discount rate=5%

initial price=$5.20

discounted price=(100%-5%)*$5.20

discounted price=95%*$5.20

discounted price=$4.94

savings=initial price-discounted price

savings=$5.20-$4.94

savings=$0.26

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Full question:

Miss Smith save 5% on her recent Starbucks order because she is a Starbucks Rewards member if the cost of per purchase before the discount was $5.20 how much did Miss smith save​

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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