what is the greatest common factor of 400 and 560?
i need an answer asap ​

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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Answer:

$12.28

Step-by-step explanation:

First, 50 - 32.80 is 17.20

Second, 15% of 32.80 = 4.92.

Finally, you need to do 17.20 - 4.92 which gets you 12.28

Hope this helps!

When doing a single sample t-test using SPSS, the constant is called the Test Value.

Test Value is in a One Sample t-Test, the test variable's mean is compared against a "test value", which is a known or hypothesized value of the mean in the population. Test values may come from a literature review, a trusted research organization, legal requirements, or industry standards.

\((\bar{\text{x}}-\mu)\div\dfrac{\text{s}}{\sqrt{\text{n}}}\)

In case statistics of two samples are to be compared, then a two-sample t-test is to be used, and its formula is expressed using respective sample means, sample standard deviations, and sample sizes. Mathematically, it is represented as, s2 = Standard Deviation of 2nd Sample.

Thus, When doing a single sample t-test using SPSS, the constant is called the Test Value.

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Answer:

its log 5 7/8

Step-by-step explanation:

The question that will result in discrete quantitative data is:

how much did you spend at the movies today?

Discrete quantitative data refers to data that can take only a given set of numeric values (not like continuous quantitative data, where the data can take "any real value").

So, a question like "what genre of movie is your favorite?" is not the correct option, because the answer to that question will not be a number.

"did you order anything from the concession stand?" The answer to this question is also not a number, so this is also wrong.

Now, the correct option is "how much did you spend at the movies today?".

Here the answer will be a quantity (a number) and that number only can be a multiple of the objects that are sold on the cine theater (food, tickets, etc) so that number belongs to a discrete set.

Thus, we conclude that this question is the correct option.

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Answer:

C) How much did you spend at the movies today?

Step-by-step explanation:

edge 2023

Answer:

A

Step-by-step explanation:

9. The solution is (x, y) = (4/3, -5/3).

10. The solution is (x, y) = (1, 2).

The coefficient matrix is:

| -1  5 |

|  1 -2 |

The determinant of the coefficient matrix is:

|-1  5 |      |-2  5 |

| 1 -2 |  = (-1)(-2) - (5)(1) = 3

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 2  5 |

|-2 -2 |

The determinant of this matrix is:

| 2  5 |      | -2  5 |

|-2 -2 |  = (2)(-2) - (5)(-2) = -4 + 10 = 6

|-1  2 |

| 1 -2 |

The determinant of this matrix is:

|-1  2 |     | 1  2 |

| 1 -2 | = (-1)(-2) - (2)(1) = 2

Using Cramer's rule:

x = |2  5| / 3 = 4/3

   |-2 -2|

y = |-1 2| / 3 = -5/3

   |1 -2|

10.The coefficient matrix is:

| -5 -5 |

| -2 -4 |

The determinant of the coefficient matrix is:

|-5 -5 |      |-2 -5 |

|-2 -4 |  = (-5)(-4) - (-5)(-2) = -10

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 25 -5 |

| 16 -4 |

The determinant of this matrix is:

| 25 -5 |     | 16 -5 |

| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20

|-5 25 |

|-4 16 |

The determinant of this matrix is:

|-5 25 |     |-4 25 |

|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20

Using Cramer's rule:

x = |-5 -5| / -10 = 1

   |-2 -4|

y = |-5 25| / -10 = 2

   |-4 16|

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Answer: It has 3 sets of parallel lines

Step-by-step explanation:

Im smart (AP Math)

Answer: There is 3 sets of parallel lines

Step-by-step explanation:

Answer:

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2

The IQ of students has a mean of 110 and an SD of 18. If 43 students are randomly sampled, the probability that the average IQ of this group is greater than 100 is P(Z > (100-110)/(18/√43)).

Given, that the IQ of students has a mean of 110 and SD of 18.

Number of students randomly sampled, n = 43.

The formula to calculate the probability is:

P(Z > (100-110)/(18/√43))

Now, substituting the values in the above formula:

P(Z > (100-110)/(18/√43))= P(Z > -2.365)= 1 - P(Z < -2.365)

This can be obtained by referring to standard normal tables or using a calculator.

Now, P(Z < -2.365) can be obtained by referring to standard normal tables or using a calculator.

Using a calculator, we get P(Z < -2.365) = 0.009 or 0.01 (rounded off to two decimal places).

So, P(Z > -2.365) = 1 - 0.01 = 0.99.

The probability that the average IQ of this group is greater than 100 is 0.99.

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Answer:

Proved

Step-by-step explanation:

m∠JPO  = 90  =  m∠OWK, and angle O is common between both triangles [reflexive property]. Therefore by Rule AA, ΔOKW~ΔOJP

Triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Please refer to the attached picture for the diagram.

We have:

KW is perpendicular to JO, JP is perpendicular to KO.

KN intersects with JP=Q.

From the figure:

Angle JPO =Angle OWK = 90 degrees

By using the reflexive property:

Angle O = Angle O

Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

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One half times the difference of twenty and a variable is two thirds.

Then the equation to the given situation is 1/2 (20-y) = 2/3.

Given that, one half times the difference of twenty and a variable is two thirds.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the variable be y.

Now, equation for the given situation is 1/2 (20-y) = 2/3

The equation to the given situation is 1/2 (20-y) = 2/3.

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The suitcase has a lock consisting of four number.

Each number could be any number from 0 to 9.

for each of the first three numbers slot on the lock, there are 10 possible numbers that can fit in (that is 0,1,2,3,4,5,6,7,8,9)

And for the last slot, According to the restriction given in the question that it has to be an even number.

So, for the last slot the possible numbers that can fit in are (0,2,4,6,8), which are even numbers between 0 and 9. which means there are 5 possible numbers for the last slot.

The total number of possible combinations is equal to the product of the number of possible numbers for each slot.

Where N is the total number of possible combination for the slot, and N1,N2,N

Answer:

X=-2.5

4-(2x+4)=5

cancel out 4 and -4

-2x=5

-x=2.5

x=2.5

hope this helps man :)

Step-by-step explanation:

The equation 4 - (2x + 4) = 5 is satisfied by \(x = -\dfrac{5}{2}\). The given problem is solved using the concept of PEMDAS.

The equation is a collection of two or more expressions separated by an equal sign(=), which indicates the equality of the expressions. The equation consists of numbers, variables, and mathematical operations.

This problem is solved using the concept of PEMDAS, which is an abbreviation for parentheses, exponents, multiplication, division, addition, and subtraction, operated in the same order.

The equation is given as follows:

4 - (2x + 4) = 5

4 - 2x - 4 = 5

-2x = 5

2x = -5

\(x = -\dfrac{5}{2}\)

Therefore, \(-\dfrac{5}{2}\) is that value of x that satisfies the given equation 4 - (2x + 4) = 5.

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

The box of cereal now weighs approximately 0.9 pounds and 1.3 pounds.

To estimate the weight of the cereal in the box now, we must subtract the amount of cereal used during the week from the total weight of the box when Kiara bought it.

The total weight of the box when Kiara bought it is 1 7/16 pounds. To convert this fraction to a decimal, divide the numerator (7) by the denominator (16): 7/16 = 0.4375.

The amount of cereal used during the week is 1/2 of a pound. To convert this fraction to a decimal, divide the numerator (1) by the denominator (2): 1/2 = 0.5.

Subtract the amount of cereal used from the total weight of the box: 0.4375 - 0.5 = -0.0625.

Since the result is negative, we can approximate the weight of the cereal in the box now as 0.9 pounds. We can also round the result to the nearest hundredth: 0.4375 - 0.5 = -0.0625 = 0.94 pounds.

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Answer:

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a right triangle to represent the situation:

        |\

        | \

   h    |  \   9 ft

        |   \

        |    \

        |     \

        -------

        6 ft

Here, h represents the height on the wall where the ladder touches. We want to find the angle of elevation θ.

Using the right triangle, we can write:

sin(θ) = h / 9

cos(θ) = 6 / 9 = 2 / 3

We can solve for h using the Pythagorean theorem:

h^2 + 6^2 = 9^2

h^2 = 9^2 - 6^2

h = √(9^2 - 6^2)

h = √45

h = 3√5

So, sin(θ) = 3√5 / 9 = √5 / 3. We can solve for θ by taking the inverse sine:

θ = sin^-1(√5 / 3)

θ ≈ 37.5 degrees

Therefore, to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground is 37.5 degrees.

the height of the ball 2 seconds after being dropped is 80 feet.

To find the height of the ball 2 seconds after being dropped, we need to plug in t = 2 into the model equation h(t) = -16t^2 + 144.

So, h(2) = -16(2)^2 + 144

Simplifying, h(2) = -16(4) + 144

h(2) = -64 + 144

h(2) = 80

Using the given model, h(t) = -16t^2 + 144, we can find the height of the ball at 2 seconds after being dropped. To find h(2), simply replace t with 2 in the equation:

h(2) = -16(2)^2 + 144
h(2) = -16(4) + 144
h(2) = -64 + 144
h(2) = 80

At 2 seconds after being dropped, the height of the ball is 80 feet.

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The value of x from the given right triangle is 10 units.

Consider triangle ABC and triangle BDC.

Here, ∠ABC=∠BDC=90°

∠BCD=∠BCA (Reflexive angle)

By AA similarity ΔABC is similar to ΔBDC

We know that, when two triangles are similar their corresponding sides will be in ratio.

Now, x/20 = 5/x

x²=100

x=√100

x=10 units

Therefore, the value of x from the given right triangle is 10 units.

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Check the picture below.

so we have a cube with a pyramidical hole, so let's just get the volume of the whole cube and subtract the volume of the pyramid, what's leftover is the part we didn't subtract, the cube with the hole in it.

\(\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{6\sqrt{2}\times 6\sqrt{2}}{72}\\ h=12 \end{cases}\implies V=\cfrac{72\cdot 12}{3}\implies 288 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE volumes} }{\stackrel{ cube }{12^3}~~ - ~~\stackrel{ pyramid }{288}}\implies \text{\LARGE 1440}~in^3\)

Investigating an outlier that a data analyst has found is the best course of action.

To find the solution to a problem or provide an answer to a question, a data analyst gathers, purifies, and analyzes data sets.

They work in a variety of fields, including as government, business, finance, law enforcement, and science.

Depending on the question you're attempting to answer, data analysis might take on various shapes.

More information on different data analysis types is available here.

In a nutshell, descriptive analysis explains what happened, diagnostic analysis explains why it occurred, predictive analytics offers future projections, and prescriptive analysis generates actionable recommendations for what to do.

Hence, Investigating an outlier that a data analyst has found is the best course of action.

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Answer:

Step-by-step explanation:

(2x - 2) - 2x > (4x + 6) - 2x

-2 > 2x + 6

(-2) - 6 > (2x + 6) - 6

-8 > 2x

-8/2 > (2x)/2

-4 > x

Answer:

x < - 4

Step-by-step explanation:

2x - 2 > 4x + 6 ( subtract 4x from both sides )

- 2x - 2 > 6 ( add 2 to both sides )

- 2x > 8

divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x < - 4

Answer:

Step-by-step explanation:

\(6x=3(x - 4) - x \)

Multiply the terms in the bracket

That's

\(6x = 3x - 12 - x \\ 6x = 2x - 12\)

Subtract 2x from both sides of the equation

\(6x - 2x = 2x - 2x - 12 \\ 4x = - 12\)

Divide both sides by 4

\( \frac{4x}{4} = - \frac{12}{4} \)

We have the final answer as

Hope this helps you

Answer:

-4

Step-by-step explanation:

6x = 3(x - 4)

6x = 3x - 12

3x = -12

x = -4

Best of Luck!

The time necessary for p dollars to double when it is invested at interest rate r compounded annually is given by the formula:

t = (ln 2) / (r ln (1 + r))

When compounded monthly, the formula becomes:

t = (ln 2) / (12 r ln (1 + r/12))

When compounded daily, the formula becomes:

t = (ln 2) / (365 r ln (1 + r/365))

When compounded continuously, the formula becomes:

t = ln 2 / (r)

Note that ln is the natural logarithm function.

To use these formulas, you need to know the value of the interest rate r. For example, if r is 5%, then:

When compounded annually, t = (ln 2) / (0.05 ln 1.05) = 13.86 years
When compounded monthly, t = (ln 2) / (12 x 0.05 ln 1.0041) = 14.21 years
When compounded daily, t = (ln 2) / (365 x 0.05 ln 1.000137) = 14.27 years
When compounded continuously, t = ln 2 / (0.05) = 13.86 years

Therefore, the time necessary for p dollars to double depends on the interest rate and the frequency of compounding. Generally, the more frequently the interest is compounded, the shorter the time necessary for p dollars to double.

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Answer: To solve this problem, we need to calculate the volume of the rectangular prism and the volume of each cube, and then divide the volume of the rectangular prism by the volume of each cube.

The rectangular prism has dimensions of length 6 1/2 m, width 1 1/2 m, and height 4 m. Therefore, its volume is:

V_rectangular prism = length x width x height

= (6 1/2 m) x (1 1/2 m) x (4 m)

= (13/2 m) x (3/2 m) x (4 m)

= 39/2 m^3

Each cube has a side length of 1/2 m. Therefore, its volume is:

V_cube = side length^3

= (1/2 m)^3

= 1/8 m^3

To find how many cubes fit inside the rectangular prism, we divide the volume of the rectangular prism by the volume of each cube:

Number of cubes = V_rectangular prism / V_cube

= (39/2 m^3) / (1/8 m^3)

= (39/2 m^3) x (8/1 m^3)

= 156 cubes

Therefore, 156 cubes with a side length of 1/2 m would fit inside the rectangular prism.

Step-by-step explanation:

Answer:

12 sure not sure not sure

=8/12

in reduced fraction= 2/3

its 2/3  

Answer:14/15 + 42/11

Step-by-step explanation: