The price of oil decreased from $52 per barrel to $48 per barrel. What is the percentage decrease in the price of oil? Round your answer to the nearest tenth of a percent.

The solution to the problem when \(46.3\) divided by \(1.5\)  the result of the division is \(30.8666667\) in decimal form.

When a large number is distributed into small numbers of equal parts is called division.

The number \(1.5\) is not a factor of \(46.3\) ,  on dividing them the remainder is not zero.

Therefore,  first convert \(1.5\) it into a whole number by multiplying it  \(10\) so it becomes \(15\) .

Then convert \(46.3\)  it into a whole number by multiplying it by \(10\) so it becomes \(463\)

Here,  \(\dfrac{463 \times 10}{15 \times 10}\) which results in \(\dfrac{463}{15}\).

Now, divide \(\dfrac{463}{15}\) ,  the result will be \(30.8666667\).

The solution to the problem when \(46.3\) divided by  \(1.5\) the result is \(30.8666667\).

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Answer:

13.8

Step-by-step explanation:

Area of square = πr²

=22/7 × 4²

=50.2

Area of square = l²

=8²

= 64

Area of shape is 64 - 50.2 = 13.8

Answer:

The answer is 13.8

Step-by-step explanation:

Yes

Answer:

y = - \(\frac{1}{4}\) (x - 1)²(x + 2)(x + 6)

Step-by-step explanation:

The roots from the graph are

x = - 6 , then factor is (x + 6)

x = - 2 , then factor is (x + 2)

x = 1 ( multiplicity 2 ) , then factor is (x - 1)² then

y = a(x - 1)²(x + 2)(x + 6) ← a is a multiplier

To find a substitute any point on the graph into the equation

Using (0, - 3 ), then

- 3 = a(- 1)²(2)(6) = 12a ( divide both sides by 12 )

- \(\frac{1}{4}\) = a

Then

y = - \(\frac{1}{4}\) (x - 1)²(x + 2)(x + 6)

The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. If the absolute value is high, the true parameter is probably very different from the estimate.

The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. It is derived by multiplying the discrepancy between the two by the estimate's standard error. The true parameter is probably far from the estimate, according to a large absolute value of the t-statistic. As a result, one cannot have confidence in the estimate because it is not a trustworthy representation of the real parameter. This is because a significant t-statistic indicates that the estimate is likely to be inaccurately estimating the true parameter and is either too high or too low. As a result, it is obvious that the true parameter is unlikely to be represented by the estimate when the t-statistic for a parameter estimate has a high absolute value.

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The complete question is

when the t-statistic for a parameter estimate is large in absolute value, you can be confident that the true parameter is not .How do you interpret a large t-statistic in a parameter estimate?

Angie' s grandma drive 376 miles in each day.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The two cities are 752 travel miles apart.

And, It take 12 hours to drive that far.

Now,

Since, Angie' s grandma want to do the drive in two day.

So, The distance cover by Angie' s grandma in each day is,

= 752 / 2

= 376 miles

Thus, Angie' s grandma drive 376 miles in each day.

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The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

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Answer:

Slope intercept form is achieved by isolating y to one side. 3x-6y=18: given. -6y=-3x+18: algebra. y=3/6x-3: simplifying.

We are given the following equation:

To solve for "x" we will first multiply both sides by 19

Now we multiply both sides by "2x - 2":

Now we solve the operations in the parenthesis using the distributive property:

Now we add 19x on both sides.

Solving the operations:

Adding 12 on both sides:

Solving the operations:

Dividing both sides by -7

Solving the operation:

Therefore the value of "x" is 216/7

Answer: 74 ft^2.

Step-by-step explanation: First, you can seperate the figure into an 8x9 rectangle and a 1x2 rectangle. 8*9 = 72 and 1*2 = 2 and then you add them to get 74. The unit is ft, but we're multiplying, so it becomes ft^2. Thus, the answer is 74 ft^2.

Answer:

Total Area = 50 ft²

Step-by-step explanation:

Total Area = (8 * 6) + (2 * 1)

Total Area = 48 + 2

Total Area = 50 ft²

Answer: If you don't have any work you can put in Showcase Your Volunteer Work or Academic Projects

Step-by-step explanation:

She should stress her talents and experience earned above the specific job itself or the amount of time worked.

A succinct description of one's background and credentials: an updated resume I sent a cover letter, work samples, and my resume for the internship.

here, we have,

given that,

Isabella is writing her resume.

She doesn’t have much work experience. She thinks she should leave an empty section on her resume.

Therefore, we have,

Isabella is writing her resume she does not have much work experience she think she should leave an empty section resume is this a good ideas:

She should stress her talents and experience earned above the specific job itself or the amount of time worked because leaving an empty space in her resume could distract the reader.—

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For the inequality  -5 < 4x + 3 ≤ 7 the  combined solution are x < -2 and x ≤ 1.

To solve the inequality -5 < 4x + 3 ≤ 7, we need to consider two separate inequalities:

Solve the inequality -5 < 4x + 3:

-5 < 4x + 3

Subtract 3 from both sides:

-5 - 3 < 4x

-8 < 4x

Divide both sides by 4

-8/4 > x

-2 > x

x < -2.

Now let's solve the inequality 4x + 3 ≤ 7:

4x + 3 ≤ 7

Subtract 3 from both sides:

4x ≤ 7 - 3

4x ≤ 4

Divide both sides by 4:

x ≤ 1

Therefore, the combined solution is x < -2 and x ≤ 1.

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9514 1404 393

Answer:

  yes

Step-by-step explanation:

A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.

An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.

Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.

All of the expressions are equivalent.

The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

c=8

Step-by-step explanation:

Answer:

$20.54

Step-by-step explanation:

26 x 0.79 = 20.54

Answer:

No, 7, 8 and 9 do not form a right triangle.

Step-by-step explanation:

Assume that the shorter two side lengths are  7 and 8.  Does 7^2 + 8^2 add up to 9^2?  Does 49 + 64 add up to 81?  NO.

No, 7, 8 and 9 do not form a right triangle.

Answer:

The answer is; M=9H

M=Money

H=Hours

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf{Ordered\:Pair:\:(-6, 3)}}\)

Step-by-step explanation:

Hello.

We need to find the coordinates of Denver.

Let's take a look at the coordinate plane and see if we can determine the coordinates of Denver.

The x-coordinate comes first. Look at the x-axis.

The x-coordinate of Denver is

-6

The y-coordinate of Denver is

3

The ordered pair is

(-6, 3)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

hii good morning the answer is (-6, 3)

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

As we know, the standard form of circle is written in this way ~

\( \qquad \sf x{}^{2} + y {}^{2} + 2gx + 2fy + c = 0\)

where, the coordinates of centre is (-g , -f) and radius equals to :

\(\qquad \sf  \dashrightarrow \: \sqrt{g {}^{2} + {f}^{2} - c } \)

Now, it's time to equate the coordinates of centre ~

Here we get,

\(\qquad \sf  \dashrightarrow \: - g = 0\)

\(\qquad \sf  \dashrightarrow \: g = 0\)

and

\(\qquad \sf  \dashrightarrow \: - f = 4\)

\(\qquad \sf  \dashrightarrow \: f = - 4\)

Now, let's find the the Radius using distance formula on the given points, one of them is centre and other is point lying on circle, so distance between them is the radius.

\(\qquad \sf  \dashrightarrow \: r = \sqrt{( 0 - ( - 2)) {}^{2} + (4 - ( - 4)) {}^{2} }\)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ (0 + 2) {}^{2} + (4 + 4) {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ (2) {}^{2} + (8) {}^{2} } \)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ 4+ 64 } \)

\(\qquad \sf  \dashrightarrow \: r = \sqrt{ 68 } \)

\(\qquad \sf  \dashrightarrow \: r = 2\sqrt{ 17 } \)

Now, use the the following equation to find c of the standard equation

\(\qquad \sf  \dashrightarrow \: r = \sqrt{g {}^{2} + {f}^{2} - c} \)

\(\qquad \sf  \dashrightarrow \: 2 \sqrt{17} = \sqrt{ {0}^{2} + {4}^{2} - c}\)

squaring both sides :

\(\qquad \sf  \dashrightarrow \: 68 = {0}^{2} + {4}^{2} - c\)

\(\qquad \sf  \dashrightarrow \: 68 = 8 - c\)

\(\qquad \sf  \dashrightarrow \: - c = 68 - 8\)

\(\qquad \sf  \dashrightarrow \: c = - 60\)

Therefore, we got the standard equation of circle as ~

\(\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} + 2(0)x + 2( - 4)y + ( - 60) = 0\)

\(\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} - 8y - 60 = 0\)

I Hope it helps ~

The volume of the cylinder is 72π cubic centimeters.

Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, or cubic inches.

For solid objects, volume refers to the amount of space the object occupies in three-dimensional space.

The formula for the volume of a cylinder is:

V = Bh

where B is the area of the base of the cylinder, and h is the height of the cylinder.

In this problem, the cylinder has a diameter of 6 centimeters, which means the radius is 3 centimeters. The area of the base of the cylinder is therefore:

B = πr²

B = π(3 cm)²

B = 9π cm²

The height of the cylinder is given as 8 centimeters. Therefore, we can use the formula for the volume of a cylinder to find the volume V:

V = Bh

V = (9π cm²)(8 cm)

V = 72π cubic centimeters

Therefore, The volume of the cylinder is 72π cubic centimeters.

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The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle.

A triangle is a 3-sided shape occasionally referred to as a triangle. Every triangle has three sides and three angles, some of which may be the same.

An equilateral triangle is a triangle whose all sides are equal.

As below the triangle in option (a) with the purple marks has all sides are same thus it will be equilateral.

An isosceles triangle is a triangle whose two sides are the same.

In option (b) triangle the (blue marked) has two equal sides thus it will be isosceles.

A scalene triangle is a triangle with all unequal lengths in option (c) (green mark) all sides are unequal.

Hence "The triangle in option (a) is an equilateral triangle in option (b) is isosceles and the triangle in option (c) is a scalene triangle".

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Answer:

The question has some missing details such as ; Use cylindrical shells to find the volume of the remaining solid if the remaining solid is 8cm high. I have however solved it using the value of 8cm, you can use the same approach to solve for the volume irrespective of the value of the height you are given.

Step-by-step explanation:

The detailed step by step analysis and appropriate Integration by susbtitution in order to get the volume of the remaining solid is as shown in the attached file.

Answer:

126

Step-by-step explanation:

\(V = A * h = \frac{1}{4} * \pi * d^{2} * h = A * h = \frac{1}{4} * 3.14 * 36 * 5 = 141.3\\ \\V_{empty} = A * h = \frac{1}{4} * \pi * d^{2} * h = \frac{1}{4} * \pi * 4 * 5 = 15.7\)

\(V_{full} = V - V_{empty} = 141.3 - 15.7 = 125.6 \approx 126\)

Based on the information given, It should be noted that when there is no pattern, the association is zero.

Your information is incomplete as the diagram isn't given. Therefore, an overview will be given. A scatter plot refers to a type of plot that uses Cartersian coordinates in order to display values for the variables that are in a data. A scatter plot is also known as a scatter chart or graph.

In a case where the variables increase and decrease together, then the association is positive. When one variable increases and the other reduces, the association is negative.

In conclusion, when there is no pattern, the association is zero.

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Answer: The answer is a negative

Step-by-step explanation:

The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.

Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.

From the information given, we can set up the following equations:

Eugene's spending:

18h + 6g = $150

Jessica's spending:

7h + 16g = $113

We can now solve this system of equations to find the values of 'h' and 'g'.

Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:

36h + 12g = $300

21h + 48g = $339

Now, we can subtract the second equation from the first to eliminate 'h':

(36h + 12g) - (21h + 48g) = $300 - $339

36h - 21h + 12g - 48g = -$39

15h - 36g = -$39

Simplifying further, we have:

15h - 36g = -$39

Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.

Let's solve for 'h':

15h = 36g - $39

h = (36g - $39) / 15

Substituting this value of 'h' into Eugene's equation:

18[(36g - $39) / 15] + 6g = $150

(648g - $702) / 15 + 6g = $150

648g - $702 + 90g = $150 * 15

738g - $702 = $2250

738g = $2250 + $702

738g = $2952

g = $2952 / 738

g ≈ $4

Now, substituting the value of 'g' back into Eugene's equation:

18h + 6($4) = $150

18h + $24 = $150

18h = $150 - $24

18h = $126

h = $126 / 18

h ≈ $7

Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.

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