a Suppose that 8 customers per hour arrive at a bank during the 11a-1p. "lunch-hour", period. It is observed that there are, on average, 6 customers in the bank during this same "lunch-hour" period. Which of the following statements are true assuming the system is in steady-state during that period? (Hint: What law govern's the behavior of systems in "steady-state"?) The average customer spends 45 minutes in the bank. The bank must have at least 2 bank tellers. There is always a line of customers waiting during the 11a-1p period. The average service time (not including waiting) at the bank is 3/4 of an hour. Exactly two of the answers are correct. None of the answers are correct

Answer:

\(2\sqrt[4]{3}\)

Step-by-step explanation:

\(48^\frac{1}{4} = \sqrt[4]{48} = \sqrt[4]{2*2*2*2*3} = 2\sqrt[4]{3}\)

The given expression can be written in simplest radical form as 2\(\sqrt[4]{3}\).

In order to write an exponent in radical form, first take the prime factors of the given number and then put the remaining numbers that are left out in the radical form.

The given expression is \(48^{1/4}\).

The prime factorization of 48 gives 48 = 2 × 2 × 2 × 2 × 3

It can be written in simplest radical form as follows,

\(48^{1/4}\) = \((2 \times 2 \times 2 \times 2 \times 3)^{1/4}\)

        = 2 × \(3^{1/4}\)

        = 2\(\sqrt[4]{3}\)

Hence, the radical form of given expression is 2\(\sqrt[4]{3}\).

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Step-by-step explanation:

\( \frac{4}{p} - 8\)

I hope it helped U

The investment with the greater amount of interest is Investment X which earns $50.40 more.

Hence the correct option for first position is (A) and for second position is option (C).

For Investment X:

Given that the principle amount of investment (P) = $ 6000

Time period (t) = 2 years

Rate of Interest (r) = 4.5% (simple interest rate)

So the interest gained over 2 years = (6000*2*4.5)/100 = $540.

For Investment Y:

Given that the principle amount of investment (P) = $ 6000

Time period (t) = 2 years

Rate of Interest (r) = 4% (compound interest rate)

so the amount after 2 years is given by

= 6000(1 + 4/100)²

= 6000*(1.04)²

= $6489.6

so the interest gained over 2 years = 6489.6 - 6000 = $489.6

So the difference between the interests = 540 - 489.6 = $50.40

Hence the Investment X gives greater interest.

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Answer:

The solution to the inequality is 0.

NO 12/6 IS NOT A INTEGER

Step-by-step explanation:

A INTEGER IS A NUMBER WITH A SUBTRACTION SIGN IN FORNT OF IT LIKE -5

Answer:

t=1

Step-by-step explanation:

2t+t−3=0

2t+t+−3=0

(2t+t)+(−3)=0(Combine Like Terms)

3t+−3=0

3t−3=0

Step 2: Add 3 to both sides.

3t−3+3=0+3

3t=3

Step 3: Divide both sides by 3.

3t

3

=

3

3

t=1

Answer: $145.52

Step-by-step explanation:

Answer:

9.52

Step-by-step explanation:

What is 136% of 7?

Y is 136% of 7

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 136% * 7

Converting percent to decimal:

p = 136%/100 = 1.36

Y = 1.36 * 7

Y = 9.52

Answer:

The slope is 3, and the y-intercept is -1/2

Answer:the coefficient of the 2nd term is : 24

Step-by-step explanation:(6p + 2)^2 =

(6p + 2)(6p + 2) =

36p^2 + 12p + 12p + 4 =

36p^2 + 24p + 4

Answer:

The answer is D.

Step-by-step explanation:

For each of these questions, you just have to substitute one of the x values, where the X is in the equation. Then the equation is true is the Y value you solve for is the same as the corresponding  Y value.

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

Answer:

A E

Step-by-step explanation:

A => 10/4 = 5/2

B => 4/2 = 2

C => 2/5

D => here y is less than x

E => 10/4 = 5/2

Answer:

Step-by-step explanation:

You can use sen30° to solve it:

Since Sen=Opposite side / diagonal

Sen30° = OS/D

1 / 2 = x / \(2\sqrt{3}\)  

2x = \(2\sqrt{3}\)  

x = \(\sqrt{3}\)

Answer:

B, negative

Step-by-step explanation:

When we look at lines on graphs, we see it from left to right. This can help you remember that if the line gets higher from left to right, it is positive. On the other hand, this line descends from left to right, meaning the slope is negative.

To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest

I = P * r * t.

I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,

Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.

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Answer:

19,200 yds²

Step-by-step explanation:

The question is asking for how many square yards of grass is needed

This means that it is looking for the Area.

The formula for area is Length x Width = Area

120 (Length)

160 (Width)

120 x 160 = 19,200

The unit of measurement is yards...

19,200 yds²

Answer:

The one on the left

Step-by-step explanation:

i thought about it and its the dot on the left

(1) The area of the trapezoid is 192 square meters.

(2) The area of the circle is A = 144π square cm or A ≈ 452 square cm.

(3) The circumference of the circle is C = 24π cm or C ≈ 75 cm.

(4) The perimeter of the figure is ≈ 110 cm.

(5) The area of the figure is 321 square meters.

The measurement that indicates the size of a region on a plane or curved surface is called the area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

(1)

The height of the trapezoid is 12m and the lengths of the parallel sides are 11m and 21 m.

The area of the trapezoid is:

A = (1/2)(11 + 21)(12)

A = 192 square meters.

(2)

The area of the circle with a radius of 12 cm is:

A = π(12)²

A = 144π

A ≈ 452 square cm.

(3)

The circumference of the circle with a radius of 12 cm is:

C = 2π(12)

C = 24π

C ≈ 75 cm

(4)

To find the perimeter of the figure, first, find the circumference of the semicircle,

The diameter of the semicircle is 30 - 12 = 18.

Therefore, the radius is 18/2 = 9 cm.

Hence, the perimeter of the figure is:

12 + 20 + 30 + 20 + π(9)

≈ 110 cm

(5)

To find the area of the figure, first, find the area of the large horizontal rectangle, then the upper triangular part, and then the lower rectangular part, and add them together.

The area of the large horizontal rectangle is:
(24 + 5) × 8

= 232

The area of the triangular portion is:

(1/2)×(24 + 5 -10 -10)×12

= 54

The area of the small rectangular part is:
5×7

=35

Now, add all the areas together to find the total area of the figure:

232 + 54 + 35

= 321

Hence, the area of the fifth figure is 321 square meters.

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Answer:

GCF of 10 and 21 is 1.2.

Step-by-step explanation:

I hope it's helpful!

Answer:

212

Step-by-step explanation:

starting with (xy)

you first plug in x=2 and y=3

(2×3) = 6

then we add in the exponent of 3

6^3 = 216

this is because an exponent shows you how many times the number is multiple by itself (6×6×6)

next we work on x^4 by plugging in x=2

2^4=16

2×2×2×2

we do the same for x^2

2^2=4

2×2

next we do the division

16/4=4

finally we take the 216 and 4 and do the subtraction

216-4=212

Answer:

Mrs.Santos is 29.5 and Morgan is 14.5

Step-by-step explanation:

x - 15 + x = 44 where x is Mrs.Santos age

2x - 15 = 44

2x = 59

x = 59/2 = 29.5

The height of the Sears Tower's building is approximately 725 feet.

Let's denote the height of the building as h, and the height of the antenna as a. According to the information given, the total height of the tower (t) is the sum of the heights of the building and the antenna, so we have t = h + a.

We are also given that the difference in heights between the building and the antenna is 279 feet, meaning a = h + 279.

Substituting this value of a into the equation for t, we have t = h + (h + 279). Simplifying, we get t = 2h + 279.

Since the total height of the tower, t, is given as 1729 feet, we can now solve the equation 1729 = 2h + 279 for h.

Rearranging the equation, we have 2h = 1729 - 279, which simplifies to 2h = 1450. Dividing both sides by 2, we find h = 1450/2 = 725.

Therefore, the height of the Sears Tower's building is approximately 725 feet.

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Answer:

Ok say your social life is on that scale, Now the moment you walk into school your life is A which means it hasn't made it anywhere..now as you progress your love life goes up and becomes a B soon you grow popular and hit C as your results sky rocket..suddenly something you do affects that maybe a bad grade or something you did to someone then your social life drops dramatically to a D and soon crumbling to an E.

~ Zachary Mark brainliest if you want Thanks <3 Have a nice day!!!

Answer:

The depth of water in a stream bed over time

Step-by-step explanation:

Answer:

√6/3

Step-by-step explanation:

Answer:

srry i need points

Step-by-step explanation:

Answer:

20 boys, 10 girls

Step-by-step explanation:

4 + 2 = 6

4:6 ⋅ 5:5 = 20:30

2:6 ⋅ 5:5 = 10:30

Answer:X is 912

Step-by-step explanation:

What? You just said it

The eigenvalues of A are 5 and 10.

What is  eigenvalues ?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

The eigenvalues of the 2 x 2 matrix are described by the following characteristic polynomial:

\($$t^2-{tr}(A) \cdot t+{det}(A)=0$$\)

The roots of the characteristic polynomial are deflned by the quadratic formula:

\(t=\frac{{tr}(A) \pm \sqrt{[{tr}(A)]^2-4-{det}(A)}}{2} \text { (2) }$$\)

If we know that \(${tr}(A)=15$\)and \(${det}(A)=50$\), then the elgenvalues of A are:

\($$\begin{aligned}& t=\frac{15 \pm \sqrt{15^2-4 \cdot(50)}}{2} \\& t_1=10 \vee t_2=5\end{aligned}$$\)

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Answer:

i think its 350000

Step-by-step explanation:

hope it helps! :)