If i had 127 tables and each table could fit 4 people how many people could i seat?

The formula for calculating the area of a triangle is expressed as

Area = 1/2 x base x height

From the information given,

height = 12

base = 9

By substituting these values into the formula,

Area = 1/2 x 9 x 12

Area = 54 cm^2

The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have:

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

From the second equation of motion:

\(\rm s = u + \dfrac{1}{2}at^2\)

We have given:

s = 95.1 m

u = 26.8 m/s

a = 4.73 m/s²

\(\rm 95.1 = 26.8 + \dfrac{1}{2}(4.73)t^2\)

The above equation is a quadratic equation:

After simplification:

\(\rm \dfrac{4.73}{2}t^2=68.3\)

\(\rm t^2=28.879\)

t = 5.373 seconds ≈ 5.34 seconds

Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

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Answer:

0.5 feet left

Step-by-step explanation:

12 inches = 1 foot

36 inches = ? feet

36 × 1 = 36

12 × ? = 12?

36 = 12?

? = 36/12

? = 3 feet

18 inches = x feet

18/12 = 1.5 feet

3 + 1.5 = 4.5 feet total used

5(total) - 4.5(feet used) = 0.5 feet left

Step-by-step explanation:

step 1. 0.12 = 12/100 (by definition)

step 2. 12/100 = 6/50 =3/25.

Answer:

The range is 2.1

Step-by-step explanation:

7.7, 8.4, 9, 8, 6.9

Put the numbers in order from smallest to largest

6.9,7.7, 8,8.4, 9

The range is the largest number minus the smallest number

9 - 6.9

2.1

Answer:

-560 is the answer

Step-by-step explanation:

658 - (-560 )= 98

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

658 - 560 = 98

Hope this helps!! :D

Answer:

b - 8

Step-by-step explanation:

When it said less than it means subtraction. Now some number can be define as a variable, in this case, b. Eight less than some number meaning it cannot be larger than some number therefore: (b - 8) is the correct answer.

The units and their matching quantity given by the formula are:

The units for speed are expressed as distance per time. For example, meters per second and kilometers per hour.

Volume is shown in cubic units while area is shown in square units. This is why an example of volume is cubic centimeters and area would be square meters.

Perimeter is just a sum of units so it will be shown without any powers.

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Answer:

35/3

Step-by-step explanation:

\(\frac{x+6 + 6x+2+x+6}{3} =4x-7\)

Simplify to get

9x+14=3(4x-7)

35=3x

x=35/3 or 11.66

Answer:

83.9357% increase for the buyer

Step-by-step explanation:

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

The Circle.

Step-by-step explanation:

The Triangle area is 112 ((14*16)/2), the squares area is 100 (10 * 10) and the circles area is 113.1 (6^2 * pi)

Hope this helps!

Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

Answer:

\(x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}\)

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So,  if a commutes with d, then it must be block diagonal.

Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,

d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),

where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.

Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.

Then, for any \(i \in {1, 2, \dots, k}\), we have

\(ad_{ii} = da_{ii}\)

Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and

hence

\(ad_{ij} = da_{ij} = 0\)

for all \(i \neq j\).

Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have

\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)

Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.

Therefore, if a commutes with d, then it must be block diagonal.

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x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Answer:

89/56

Step-by-step explanation:

\(\frac{5}{7}+\frac{7}{8} \\ \\ =\frac{40}{56}+\frac{49}{56} \\ \\ =\frac{89}{56}\)

Answer:

700

Step-by-step explanation:

It was right on my test lol

Answer:

B. 61.5

Step-by-step explanation:

I calculated it logically

Answer:The answer is 3 1/8

You multiply 6 1/4 and 1/2 together to get your answer.

I've done the same test too

Step-by-step explanation:

Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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Answer:

The answer is below

Step-by-step explanation:

Let us assume that each box represent 1 unit. Therefore we can get the coordinate of G and H. From the graph, the coordinate of G is (-2, -3) while the coordinate of H is at (0, 3).

The distance between two points A(\(x_1,y_1\)) and B(\(x_2,y_2\)) on the coordinate plane is:

\(|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between G(-2, -3) and H(0, 3) is:

\(|GH|=\sqrt{(0-(-2))^2+(3-(-3))^2}=\sqrt{4+36}=\sqrt{40}\\ \\|GH|=6.325\ units\)

Using the distance formula, GH = 6.3 units.

Given the coordinates of two points on a coordinate plane, the formula for finding the distance between them is: \(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

Given:

Plug in the values into the distance formula:

\(GH = \sqrt{(-3 - 3)^2 + (-2 - 0)^2} \\\\GH = \sqrt{36 + 4} \\\\GH = 6.3\)

Therefore, using the distance formula, GH = 6.3 units.

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Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

Answer: p=-1

Step-by-step explanation:

To find the value of p, we can manipulate the right side so that it looks like the left.

We know that \(\sqrt{4}=2\). Therefore, it can be written as 2¹.

\(\frac{1}{4}\) is the same as \(\frac{1}{2^2 }\) because 2²=4. To make it not a fraction, we can flip it and change the exponent. \(\frac{1}{4}=2^-^2\)

Now, we can put them together.

\(2^p=2^1*2^-^2\)         [multiply]

\(2^p=2^-^1\)

Now, we know that p=-1.

Answer:

y=-3/2 x + 6Step-by-step explanation:

Answer:

The answer to your question is the third one

Step-by-step explanation:

The first graph is the graph of a

The second graph is of a rational function

The third one is of an exponential function

vasta third one dzuh

Any graph that looks like the above (big on the left and crawling along the x-axis on the right) displays exponential decay, rather than exponential growth. For a graph to display exponential decay, either the exponent is "negative" or else the base is between 0 and 1.

Answer:

If Robert can only collect 35 pieces of currency each 7 days, and each piece is worth 25 cents, Robert can get a total of 700 cents.

Answer:

----------------------------

Robert can collect 35 pieces of currency each 7 days.

Number of pieces he can collect each day:

Number of pieces he can collect in 20 days:

Convert the pieces into money:

===================================================

Explanation:

Check out the diagram below.

I recommend getting graph paper for this problem.

Draw a box that is 5 units tall and 4 units across. There are 5*4 = 20 small squares inside this box. Each small square represents 1/20.

Shade two of the five rows to represent the fraction 2/5. This is the amount of butter we have. The 4 columns shows the butter divided into 4 equal pieces. Note how each column has 2 shaded squares out of 5 squares total. Since each small square represents 1/20, two such squares gets us 2/20 = 1/10 which is the amount of butter per dish.

------------

Another approach would be to say

\(\frac{2}{5} \div 4 = \frac{2}{5} \times \frac{1}{4} = \frac{2*1}{5*4} = \frac{2}{20} = \frac{1}{10}\)