Help out on the bottom part

Step-by-step explanation:

priorities of operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

[(18 + 3×2) + 8 + 5×3] + 6

18 + 3×2 = 18 + 6 = 24

24 + 8 + 5×3 = 24 + 8 + 15 = 47

47 + 6 = 53

[(18 + 3×2) + 8 + 5×3] + 6 =

= 18 + 6 + 8 + 15 + 6 = 53

The number of hamburgers sold on Friday was 442.

Let us form the linear equation to find the number of burgers;

Let the cheeseburger be represented by x.

Since there were 67 more cheeseburgers sold than hamburgers. This means that hamburgers will be:

The number of hamburgers = x + 67.

Since the local hamburger shop sold a combined total of 817 hamburgers and cheeseburgers. This will be:

x + x + 67 = 817

2x + 67= 817

2x = 817 - 67

2x = 750

x = 750 / 2

x = 375

So, 375 cheeseburgers were sold on Friday.

Therefore, the number of hamburgers sold will be:

= 817 - 375

= 442

Thus, the number of hamburgers sold on Friday was 442.

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Answer:

1 x 10^-7

Step-by-step explanation:

Answer:

l;komjni

Step-by-step explanation:

Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

The value of b is degree 104.we can find by using vertically opposite theorem.

Vertical Angles are when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.The point where they meet is called a vertex.

Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles meaning they are equal or have the same measurement.

Now we have

(b-308)=(-2b+4)

b+2b=4+308

3b=312

b=104

Hence the value of b is 104 degree.

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It is important to note that the term "break-even," "selection," "furlough," "retention," or "turnover" does not directly apply to this scenario.

The given scenario, where seven people were chosen from a pool of 21 people and resulted in an outcome of 33%, is an example of a ratio.

In this case, the ratio is calculated as the number of chosen individuals (7) divided by the total number of individuals in the pool (21), resulting in a ratio of 7/21 or 1/3. This ratio represents the proportion or percentage of the pool that was selected.

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Answer:

Step-by-step explanation:

y=-3/5x+3, (2,-4)

-4=-3/5(2)+b

b=-14/5

y=-3/5x-14/5

number 7 is 21 people

Step-by-step explanation:

for number 7 I got 21 because if 6 pounds feeds 14 people then if you divide both by 2 then you will get 3 pounds feed 7 people and to find 9 pounds its 7×3 which is 21.

Answer:

Step-by-step explanation:

The question is illustrated with the attached image.

Angle of elevation is the angle between a line of sight and the horizontal surface.

Let h be the height of the tower

First, calculate distance BC (x).

This is calculated using the following tan ratio,

tan52=h/x

h=xtan52

From the attached image:,

CD=47+x

tan31=h/x+47

h=(x+47)tan31

xtan52=(x+47)tan31,

solving for x we get, x=41.156m

h=xtan52=41.156 * tan52=53.2m

Answer:

thank you po

Step-by-step explanation:

kailagan lng ng point

Answer:

3

Step-by-step explanation:

.......................

Answer:

3

Step-by-step explanation:

The formula of to calculate slope of a linear function is

\(m=\frac{y_2-y_1}{x_2-x_1}\)

where m is the slope and so lets take any two points from the table to calculate the slope. Lets take,

(0 , 4) and (1 , 7) and lets plug it in the formula

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{7-4}{1-0}\\\\m=3\)

So the slope of the function is 3

Answer:225/8 in square

Step-by-step explanation:

No

Answer:

That's not what I'm learning sorry

Step-by-step explanation:

Answer:

82 units

Step-by-step explanation:

The function f(x) = \(x^2 e^{(-x^2)}\) has a maximum value at x = 0, which is a relative maximum point.

To find the relative maximum of the function f(x) =\(x^2 e^{(-x^2)}\), we can take its first derivative, set it to zero, and solve for x.

f(x) = \(x^2 e^{(-x^2)}\)

f'(x) = \(2x e^{(-x^2)} - 2x^3 e^{(-x^2)}\)

Setting f'(x) = 0, we get:

\(2x e^{(-x^2)} - 2x^3 e^{(-x^2)} = 0\)

\(2x e^{(-x^2)} (1 - x^2) = 0\)

This equation is true when either \(2x e^{(-x^2)} = 0\) or \(1 - x^2 = 0\).

Solving \(2x e^{(-x^2)} = 0\), we get x = 0.

Solving \(1 - x^2 = 0\), we get x = 1 or x = -1.

Now, we need to determine whether these values of x correspond to relative maximum, minimum, or inflection points.

To do this, we can use the second derivative test. The second derivative of f(x) is:

f''(x) = \(2e^{(-x^2)} - 4xe^{(-x^2)} - 4x^2e^{(-x^2)}\)

At x = 0, f''(0) = 2, which is positive. This means that f(x) has a relative minimum at x = 0.

At x = 1, f''(1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = 1.

At x = -1, f''(-1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = -1.

Therefore, the answer is (D) -1 and 1 only, as these are the only values of x at which f(x) has a relative maximum.

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The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.

The correct option is C.

A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.

The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.

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The sum of the first 8 terms of the sequence is 640. The values for 1, n, and d are 10, 8, and 20, respectively.

The given sequence is an arithmetic sequence with a common difference of 20. Using the formula for the sum of n terms of an arithmetic sequence, we can find the value of n.

Let S_n be the sum of the first n terms of the sequence. Then,

S_n = n/2(2a + (n-1)d)

where a is the first term, d is the common difference.

From the given sequence, we know that a = 10 and d = 20. We need to find the value of n such that S_n = 2657200.

2657200 = n/2(2(10) + (n-1)(20))
2657200 = n/2(20n - 10)
5314400 = n(20n - 10)
1062880 = n(10n - 5)
1062880 = 5n(2n - 1)

By trial and error, we can find that n = 8 is a solution.

Thus, the finite sum equation is:

S_8 = 8/2(2(10) + (8-1)(20))
S_8 = 4(20 + 7*20)
S_8 = 4(160)
S_8 = 640

Therefore, the sum of the first 8 terms of the sequence is 640. The values for 1, n, and d are 10, 8, and 20, respectively.

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Answer:

Correct answer below

Step-by-step explanation:

Answer: D: (1, 0)

Step-by-step explanation: thank u for the answer !!

Answer:

3.357

Step-by-step explanation:

18.8 / 5.6 = 3.357

A. The speed at which blood is travelling through the plaque-constricted region is approximately 31.62 cm/s. and B. P2 - P1 ≈ -405,431.58 kg/\((m*s^2)\) = -405,431.58 Pa (approximately).

(a) To determine the speed at which blood is travelling through the plaque-constricted region, we can apply the principle of continuity, which states that the flow rate of an incompressible fluid remains constant in a closed system.

The flow rate (Q) is given by the product of the cross-sectional area (A) and the velocity (v): Q = A * v.

Since the flow rate remains constant, we can write:

Q1 = Q2

A1 * v1 = A2 * v2

The cross-sectional area of the artery can be approximated as A = π * \(r^2\), where r is the radius of the artery.

Given that the diameter decreases from 1.16 cm to 0.70 cm, the initial radius (r1) is 0.58 cm (0.58 cm = 1.16 cm / 2) and the final radius (r2) is 0.35 cm (0.35 cm = 0.70 cm / 2).

Using these values, we can find the ratio of the cross-sectional areas:

A1/A2 = (π * \(r1^2\)) / (π * \(r2^2\)) =\((r1^2) / (r2^2).\)

Substituting the given values:

A1/A2 = \((0.58 cm)^2 / (0.35 cm)^2\) ≈ 2.108.

Since the cross-sectional areas are inversely proportional to the velocities, we have:

v2 = (A1/A2) * v1 = 2.108 * 15.0 cm/s ≈ 31.62 cm/s.

Therefore, the speed at which blood is traveling through the plaque-constricted region is approximately 31.62 cm/s.

(b) To determine the pressure change within the plaque-constricted region, we can use Bernoulli's equation, which relates the pressure, velocity, and height of a fluid in a flowing system.

Bernoulli's equation is given by:

P1 + (1/2) * ρ * \(v1^2\) + ρ * g * h1 = P2 + (1/2) * ρ * \(v2^2\) + ρ * g * h2.

Where P1 and P2 are the pressures, v1 and v2 are the velocities, ρ is the density of blood, g is the acceleration due to gravity, h1 is the initial height, and h2 is the final height.

In this case, we can assume that the height remains constant, so the terms ρ * g * h1 and ρ * g * h2 cancel out.

Since we are interested in the pressure change, we can rewrite Bernoulli's equation as:

P2 - P1 = (1/2) * ρ * \((v1^2 - v2^2).\)

Substituting the given values:

\(P2 - P1 = (1/2) * 1050 kg/m^3 * [(15.0 cm/s)^2 - (31.62 cm/s)^2].\\P2 - P1 = (1/2) * 1050 kg/m^3 * [225 cm^2/s^2 - 1000.2244 cm^2/s^2].\)

\(P2 - P1 ≈ (1/2) * 1050 kg/m^3 * (-775.2244 cm^2/s^2).\\P2 - P1 ≈ -405,431.58 kg/(m*s^2) = -405,431.58 Pa (approximately).\)

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cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

8

.

8

⋅

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

Answer:

b

Step-by-step explanation:

Answer:

the answer is D.

Step-by-step explanation:

Answer: x = \(\sqrt{y^2 -1}\)

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

Answer:

-78848

Step-by-step explanation:

Answer:

Lol its in total of 34

Step-by-step explanation:

b)The marginal PDF fx(x) is given by: fx(x) = (\(2\sqrt{(r^2 - x^2))/(\pi r^2}\)), for -r < x <r

c) the marginal PDF fy(y) is given by: fy(y) = (\(2\sqrt{(r^2 - y^2))/(\pi r^2}\)), for -r < y < r

To find the marginal probability density functions (PDFs) fx(x) and fy(y) from the joint PDF fX,Y(x, y), we need to integrate the joint PDF over the appropriate range.

b) To find the marginal PDF fx(x), we integrate fX,Y(x, y) with respect to y while considering the range of x:

fx(x) = ∫fX,Y(x, y) dy

Since the joint PDF is defined over the circle \(x^2 + y^2 < r^2\), the integration limits for y will be -\(\sqrt{r^2 - x^2)}\) to \(\sqrt{r^2 - x^2)}\)

fx(x) = ∫\([-\sqrt{(r^2 - x^2)}\), \(\sqrt{(r^2 - x^2}\))] (1/(πr^2)) dy

Integrating, we get:

fx(x) = (\(1/(\pi r^2)\)) * 2\(\sqrt{(r^2 - x^2}\)

Therefore, the marginal PDF fx(x) is given by:

fx(x) = (2\(\sqrt{(r^2 - x^2}\)/(\(\pi r^2\)), for -r < x < r

c) Similarly, to find the marginal PDF fy(y), we integrate fX,Y(x, y) with respect to x while considering the range of y:

fy(y) = ∫fX,Y(x, y) dx

Since the joint PDF is defined over the circle\(x^2 + y^2 < r^2\), the integration limits for x will be -\(\sqrt{r^2 - y^2}\)) to \(\sqrt{(r^2 - y^2}\)).

fy(y) = ∫[-\(\sqrt{r^2 - y^2}\), √\(\sqrt{r^2 - y^2}\)] (\(1/(\pi r^2\))) dx

Integrating, we get:

fy(y) = (1/\((\pi r^2\))) * 2\(\sqrt{r^2 - y^2}\))

Therefore, the marginal PDF fy(y) is given by:

fy(y) = \(2\sqrt{(r^2 - y^2))/(\pi r^2}\) for -r < y < r

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Answer:

1 ) y = 2x - 1

slope = 2

y intercept is (0,-1)

2) y = -1/2x + 5

slope = -0.5

y intercept  = (0,5)

Step-by-step explanation:

The recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

To represent the given arithmetic sequence where 5 is added to each term to determine each successive term, the recursive formula can be expressed as: f(n+1) = f(n) + 5

In this formula, f(n+1) represents the next term in the sequence, while f(n) represents the current term. By adding 5 to each term, we can generate the next term in the sequence.

For example, let's assume the first term of the sequence is f(1) = a. Then, the second term would be f(2) = a + 5. The third term would be f(3) = (a + 5) + 5 = a + 10, and so on.

By using the recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

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The radius of the circle is √17.

The center of the circle is (4, 2).

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

The equation of a circle with radius r and center (h, k) is

(x - h)² + (y - k)² = r²

Now,

x² + y² - 4 y - 8x + 3 = 0

x² - 8x + y² - 4y + 3 = 0

x² - 8x + 4² - 4² + y² - 4y + 2² - 2² + 3 = 0

(x - 4)² + (y - 2)² - 16 - 4 + 3 = 0

(x - 4)² + (y - 2)² = 16 + 4 - 3

(x - 4)² + (y - 2)² = √17

This means,

radius = √17 and center = (4, 2)

Thus,

The radius and center of the circle are √17 and (4, 2).

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The quantity theory of money is an economic theory that suggests a direct relationship between the money supply (M) and the price level (P) in an economy

According to this theory, the equation MV = PY holds, where V represents the income velocity of money and Y represents real output. This equation states that the total value of money spent in an economy (MV) is equal to the total value of goods and services produced (PY).

The quantity theory of money assumes that the velocity of money (V) and real output (Y) are relatively stable over time and that changes in the money supply (M) primarily affect changes in the price level (P). It implies that an increase in the money supply will lead to inflation, as there is more money chasing the same amount of goods and services.

Therefore, the correct answer is "static quantity theory of money," which refers to the idea that the relationship between money, velocity, price level, and real output is static and can be represented by the equation MV = PY.

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