*EXTRA PTS* name the relationship between the pair of angles

Answer:

The answer is 61/495 simplified.

We know, volume of rectangular prism is given by :

\(V = lbh\\\\V=\dfrac{1}{2}\times 2\times 2\ ft^2\\\\V=2\ ft^2\)

Volume of cubic box :

\(v=a^3\\\\v=(\dfrac{1}{2})^3\ ft^3\\\\v=\dfrac{1}{8}\ ft^3\)

Number of cubes can be filled :

\(N=\dfrac{V}{v}\\\\N=\dfrac{2}{\dfrac{1}{8}}\\\\N=16\)

Therefore, 16 cubes can be put in the bin.

Hence, this is the required solution.

Answer:

2 or 3

Step-by-step explanation:

solve, we say leading diagonal - lagging diagonal

leading diagonal =5andx 5×x=5X

lagging diagonal= 3 and 2 3×2= 6

then,

5x-6= x^2

X^2-5x+6=0

X^2-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

x=2 or 3

The number of students should be invited to a party to make sure that ap least two of them have the same initials are equals to the 677 (students).

The solution of this problem is obtained by using the pigeonhole principle, which states if there are N boxes and N+1 pigeons, at least two pigeons must be in the same box. We have to determine the number of students invited in party to make make sure that at least two of them have the same initials. Now, first we figure out what N is to solve the problem. Here, box for this problem is labelled by first and last initials. If we are using the A-Z alphabet, then there are 26×26 = 676 possible sets of initials.

As soon as there are N+ 1 or 677 people, at least two must have the same first and last initials. Hence, required value is 677.

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Answer:

B

Step-by-step explanation:

since the average newborn hippopotamus has a larger weight, if you give or take one pound, the percent error will not make as much of a difference as it would with the weight of an average newborn baby (7 pounds). therefore, a newborn hippopotamus has a smaller percent error.

The equation that shows the relationship between the age of Danny and Terry is D = T - 6.

Let's represent Danny's age with the variable D and Terry's age with the variable T. We know that Danny is 22 years old, so we can write the equation D = 22.

We also know that Danny is 6 years younger than Terry, so we can write the equation D = T - 6. Now we can substitute the value of D from the first equation into the second equation to find the value of T.

D = T - 6

22 = T - 6

Add 6 to both sides of the equation:

22 + 6 = T

28 = T

So Terry is 28 years old.

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The dilation is a transformation in which the size of the preimage is

reduced by 0.5.

Reasons:

The given rule for the dilation of QRST to the image Q'R'S'T' is presented as follows;

The coordinates of the point Q' following a dilation of the point Q(0, 2) by \(D_{O, \, 0.5}\) is therefore;

Q(0, 2) \(\underrightarrow{D_{O, \, 0.5}}\) (0.5 × 0, 0.5 × 2) = Q'(0, 1)

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Answer: 3x + 2y - 4z= -7= -5/8

x - 4y + 3z = 10= 11

2x + 2y - 3z= -5= -2

Step-by-step explanation:

the answer is -5/8

i just took the quiz.

Answer:The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

Step-by-step explanation:

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

Answer:

e =1

Step-by-step explanation:

\(16-3e=\frac{7}{5} e +11.6\\4.4-3e=\frac{7}{5}e\\4.4=\frac{22}{5} e\\22=22e\\1=e\)

Answer:

\(L=3.999 \: dm\)

\(A=183.4581\:dm^{2}\)

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

\(a_{p}=L\frac{2+\sqrt{3}}{2}\)

Sabiendo que la apotema es 7.464 el lado sera:

\(L=\frac{2*a_{p}}{2+\sqrt{3}}\)

\(L=\frac{2*7.464}{2+\sqrt{3}}\)

\(L=3.999 \: dm\)

Por otro lado el area de un dodecágono regular esta dada por:

\(A=6a_{p}L\)

\(A=6*7.646*3.999\)

\(A=183.4581\:dm^{2}\)

Espero te haya sido de ayuda!

Answer:

7+x

Step-by-step explanation:

this could also be written as “x + 7” and it means 7 more than (+) x

Answer:

It is 7+x (✿◠‿◠)

Given:

The equations are

\(y=-21x+9\)

\(y=24x+8\)

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

\(y=mx+b\)

Where m is slope and b is y-intercept.

On comparing \(y=-21x+9\) with the slope intercept form, we get

\(m_1=-21\)

\(|m_1|=|-21|\)

\(|m_1|=21\)

On comparing \(y=24x+8\) with the slope intercept form, we get

\(m_2=24\)

\(|m_2|=24\)

Since, \(|m_1|<|m_2|\), it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

Answer:

Step-by-step explanation:

The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.

Answer:

Step-by-step explanation:

The slope would be 1.33

Yes, One of them must be even and this is because Pigeonhole Principle.

What is Pigeonhole Principle?

According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m.  As an illustration, if one has three gloves (none of which are ambidextrous or reversible), at least two of them must be right-handed or left-handed as there are three items but only two categories of handedness to classify them into. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

From series {1,2......2n},  we need to select 'n+1' integers.

Even integers series from above series is {2,4,6..........2(n-1), 2n}

Odd integers series from above series is {1,3,5......2(n-2), 2n-1}

We can choose only n odd integers from the series. Therefore, if we choose n+1 integers, at least one of them must have to be even integer.

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Answer:

50% decrease

Step-by-step explanation:

it would be a 50% decrease because half of 8 is 4 and 1/2 is 50 %.

Answer:

45

Step-by-step explanation:

usa una calculadora

Answer:

-3

Step-by-step explanation:

-5 = -8 - (- 3)

The annual depreciation expense of the equipment is $74,150. The total depreciation expense for the four years will be $296,600 ($74,150 x 4). At the end of the four years, the equipment will have a book value of $26,800, which is equal to its residual value.

According to the information provided, the packaging equipment purchased by Dexter Industries on January 8 for $324,400 was expected to have a useful life of four years or 9,600 operating hours, with a residual value of $26,800. During the four years of use, the equipment was operated for a total of 9,600 hours, which is equal to its expected useful life. The residual value of $26,800 will be realized at the end of the four years of use.
To determine the annual depreciation expense of the equipment, we can use the straight-line method. The depreciation expense for each year will be calculated as follows:
Depreciation expense = (Cost of equipment – Residual value) / Useful life
Year 1: Depreciation expense = ($324,400 - $26,800) / 4 = $74,150
Year 2: Depreciation expense = ($324,400 - $26,800) / 4 = $74,150
Year 3: Depreciation expense = ($324,400 - $26,800) / 4 = $74,150
Year 4: Depreciation expense = ($324,400 - $26,800) / 4 = $74,150
Therefore, the annual depreciation expense of the equipment is $74,150. The total depreciation expense for the four years will be $296,600 ($74,150 x 4). At the end of the four years, the equipment will have a book value of $26,800, which is equal to its residual value.
In conclusion, the packaging equipment purchased by Dexter Industries has been used for its expected useful life of four years, with a total of 9,600 operating hours. The annual depreciation expense of the equipment is $74,150, and the residual value of $26,800 will be realized at the end of the four years.

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The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Answer:

4

Step-by-step explanation:

So there are 152 machines. After 24 hours of operation they make 1.47x\(10^{7} \)

So we know that 1.47x\(10^{7} \) = 14,700,000.


Now we just divide this by 24.

14700000/24=612,500

Now thats the total, we need to divide by 152 since there are that many machines that make up that number.

612,500/152 about 4029


So your rate is 4029 per hour per machine.

9514 1404 393

Explanation:

Both sides of the equation are squared.

  \(\dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}\)

I like this better without fractions, so would multiply by 16 at this point (or earlier).

  x^2 -40x +144 = 0

  (x -36)(x -4) = 0

  x = 4 or 36 . . . . . . x = 4 is extraneous

The solution is x = 36.

Answer:

D

Step-by-step explanation:

you just muliply 16 by 4 i

Given the two functions

We are tasked to plot (F-G)(x).

The first step here is to get the resulting function (F-G)(x). We have

Now, we need to assign values of x and evaluate them at the function (F-G)(x) to get a value. We will get coordinate points and we will plot them at the cartesian coordinate plane. I will use values of x = [-3,3]. We get the following results

The plot is provided by the image below.

Answer:

28/53

Step-by-step explanation:

Hey There!

So they want us to find the sine of angle S

well remember is sohcahtoa

S - sine

O - opposite

H - hypotenuse

meaning that

\(Sin=\frac{opposite}{hypotenuse}\)

The opposite side of angle S is 28 and the hypotenuse is 53

so \(sinS=\frac{28}{53}\)