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A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?

A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L

No dam links

9/8

Step-by-step explanation:

divides 72 por 8 que es 9, y 64 dividido entre 8 es 8 dando te 9/8.

Answer:

Marie earns more per hour

Step-by-step explanation:

Carlos earns $10.06 per hour

Marie earns $11.00 per hour

46-20=26

Marie earns more money per hour

Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

The solution for this system of equations is 10 and 100.

Based on the information provided above, Professor Maynard finished grading 20 assignments and is grading 8 more assignments per hour. Therefore, the total assignments, y, can be represented by this equation:

y = 8x + 20  .......equation 1.

where:

x represents the number of hours.

For his partner who can grade at a rate of 10 assignments every hour, the total assignments, y, can be represented by this equation:

y = 10x    .......equation 2.

By equating equation 1 and equation 2, we have the following:

8x + 20 = 10x

10x - 8x = 20

2x = 20

x = 10 hours.

For the y-value, we have:

y = 10x = 10(10) = 100 assignments.

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Answer:

Both will have graded 100 assignments. This would take 10 hours.

Step-by-step explanation:

P1                                 P2

H1: 28                         10

H2: 36                        20

H3: 44                        30

H4: 52                        40

H5: 60                        50

H6: 68                        60

H7: 76                        70

H8: 84                       80

H9: 92                      90

H10: 100                   100

We have to find the equation of a line that goes through point (-3,-1) and is perpendicular to the line y = -1/4*x-1.

We can find the slope of our line knowing that perpendicular lines have slopes that are negative reciprocals:

Then, knowing the slope of the perpendicular line, m=-1/4, we can find the slope of our line as:

Knowing the slope of our line, m=4, and one point, we can write the equation in slope-point form and rearrange as:

We can check the solution with a graph:

Answer: the equation of the line is y = 4x + 11.

0.5

The given dataset is:

1.5, 1.4, 1.7, 1.2, 2, 1.8, 2.5

Step 1: Rearrange the dataset in ascending order

1.2, 1.4, 1.5, 1.7, 1.8, 2, 2.5

Step 2: Find the lower quartile, Q₁

The lower quartile is the median of the first half of the data set

That is Q₁ is the median of 1.2, 1.4, 1.5

Q₁ = 1.4

Step 3: Find the upper quartile, Q₃

The upper quartile is the median of the second half of the data set

That is Q₃ is the median of 1.8, 2, 2.5

Q₃ = 2

Step 4: Find the interquartile range (IQR)

IQR = Q₃ - Q₁

IQR = 2 - 1.4

IQR = 0.6

Step 5: Find the lower limit of the outlier using the formula below

Lower limit = Q₁ - 1.5(IQR)

Lower limit = 1.4 - 1.5(0.6)

Lower limit = 1.4 - 0.9

Lower limit = 0.5

The difference between the weight of the sphere and the pyramid is 430.40 pounds

From the question, we have the following parameters that can be used in our computation:

Sphere and pyramid

The volume of the pyramid is

Pyramid = 1.5 * 1.5 * 2/3

Pyramid = 1.5

For the sphere, we have

Sphere = 4/3 * 22/7 * 1³

Sphere = 4.19

The difference in the volumes is

Difference = 4.19 -1.5

Difference = 2.69

So, the mass of the difference is

Mass = Density * Weight

This gives

Mass = 160 * 2.69

Evaluate

Mass = 430.40

Hence, the difference between the weight is 430.40 pounds

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Answer:

300

Step-by-step explanation:

A=wl=10·30=300

multiply the length of the rectangle by the width of the rectangle.

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

Answer:

Area = 378.5 ft²

Step-by-step explanation:

The figure is having two semi circles and one rectangle.

\({ \sf{area = area \: of \: semicircles + area \: of \: rectangle}} \\ \\ { \sf{area = 2( \frac{1}{2} \pi {r}^{2}) + (l \times w) }} \\ \\ { \sf{area = \pi {r}^{2} + (l \times w) }} \\ \\ { \sf{area = 3.14 \times {5}^{2} + (30 \times 10)}} \\ \\ { \sf{area = 378.5 \: {ft}^{2} }}\)

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

132 bicycles

Step-by-step explanation:

The ratio of bicycles to cars is 15:60. Before anything, we need to simplify this ratio. 15/15 = 1, and 60/15 = 4. So, now we have 1:4. Since the question asks for 33 bicycles, we multiply the number of bicycles, 1, by 33. Since we are multiplying the bicycles, we also need to multiply the cars. 4 x 33 = 132.

33:132. We need 132 cars.

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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As a result, the compound inequality has the following solutions: m > 6 or m < -2 as by split both sides by -5 and reverse the inequality.

An inequality in mathematics is a comparison between two values or expressions that specifies whether they are equal, greater than, or less than one another. "!=" (greater than or equal to), and "=" (less than or equal to) are used to represent inequality (not equal to). For instance, the inequality "x > 2" denotes that the value of x is more than 2, while the inequality "5 7" denotes that 5 is less than 7. Variables may be utilized in inequalities, which can be used to indicate a variety of values or circumstances that satisfy the inequality.

given

Let's resolve each inequality in turn, then add the results:

4 - m < -2 (subtract 4 from both sides) (subtract 4 from both sides)

-m < -6 (divide both sides by -1 and invert the inequality) (divide both sides by -1 and reverse the inequality)

m > 6

12 < -5m + 2 (subtract 2 from both sides) (subtract 2 from both sides)

10 < -5m (split both sides by -5 and reverse the inequality) (divide both sides by -5 and reverse the inequality)-2 > m

As a result, the compound inequality has the following solutions: m > 6 or m < -2 as by split both sides by -5 and reverse the inequality.

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9514 1404 393

Answer:

  y' = -sin(x)

Step-by-step explanation:

Your table of derivatives of trig functions tells you the derivative of the cosine is the opposite of the sine.

  dy/dx = -sin(x)

Answer:

\(→y = \cos(x) \\ \boxed{\frac{dy}{dx} = - \sin(x) }✓\)

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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These are your best years. Trust me.

Answer: 0 is nothing

Step-by-step explanation:

You cannot multiply by zero, because zero is nada, nothing, zilch. The purpose of multiplication is to find the value of a certain number times another number. So 0 x 8 = nothing times 8 equals nothing.

Answer:

2

Explanation:

Given the function:

The highest power of the expanded form is 3, therefore, the polynomial is a polynomial of degree 3.

For any polynomial of degree n, the maximum number of turning points on the graph is n-1.

In this case: n=3

The maximum number of turning points on the graph is 2.

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Answer:

Breaking apart an addend is a mental math strategy for addition. ... This strategy involves breaking up one addend in an equation into more manageable parts. Like many other mental math strategies, this strategy encourages students to think flexibly and to manipulate numbers in different ways

Step-by-step explanation:

Answer:

16^3

Step-by-step explanation:

16 x 16 x 16 is the same thing as 16 to the 3rd power. The power is how many times you multiply the number by itself.

Answer:

The perimeter of the entire frame is equal to the sum of the perimeters of the mat and the picture. The expression for the perimeter of the mat is (2m + 10) + (2m + 8) = 4m + 18, and the expression for the perimeter of the picture is 2(8) + 2(10) = 36. Therefore, the expression for the perimeter of the entire frame is (4m + 18) + 36 = 4m + 54.

Answer

The answer is A

Answer:

It is A. my friend

Step-by-step explanation:

Answer:

1 /2

Step-by-step explanation:

3×1 = 3

So it is 3 /6 = 1/2

3/6 ÷2 = 1/2

Answer:

b being more than one tells u its not negitive

b being less than one tells u its negitive

a being negitive means... its negitive lol

that tells u its more than 0

i think that means its 1/2

means its positive

means its negitive

means its positive

means its negitive

Answer:

haha

Step-by-step explanation:

first off thats not 50 points

Answer:

Step-by-step explanation For the first on 5 and -4 all u do is divide y over x so it wpuld be -4/5 which would be -0.8

just keep doing the process of dividing y over x

the second 1 would be 0/3 which is 0

just keep doing this process

Answer:

  x ≈ 8.37819064728

Step-by-step explanation:

Maybe you want to solve for x.

  \(\dfrac{x-4}{x-3}=\dfrac{2x^2-6}{x^2+2x-3}-\dfrac{x-1}{x+1}=\dfrac{2(x^2-3)}{(x-1)(x+3)}-\dfrac{x-1}{x+1}\\\\\dfrac{x-4}{x-3}=\dfrac{2(x^2-3)(x+1)}{(x-1)(x+3)(x+1)}-\dfrac{(x-1)(x-1)(x+3)}{(x+1)(x-1)(x+3)}\\\\\dfrac{x-4}{x-3}=\dfrac{(2x^3+2x^2-6x-6)-(x^3+x^2-5x+3)}{(x^2-1)(x+3)}\\\\\dfrac{(x^2-1)(x+3)(x-4)}{(x^2-1)(x+3)(x-3)}=\dfrac{(x^3+x^2-x-9)(x-3)}{(x^2-1)(x+3)(x-3)}\\\\\dfrac{x^4-x^3-13x^2+x+12}{(x^2-1)(x^2-9)}=\dfrac{x^4-2x^3-4x^2-6x+27}{(x^2-1)(x^2-9)}\\\\\dfrac{x^3-9x^2+7x-15}{(x^2-1)(x^2-9)}=0\)

A graphing calculator shows the numerator cubic to have one real irrational zero near x ≈ 8.37819064728.