A teenager's heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?

An expression can either be positive, negative or none.

The sign of the expression is neither positive nor negative.

The fraction expression is given as:

\(\dfrac{23}{45} + \left(-\dfrac{23}{45}\right)\)

Open the bracket

\(\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23}{45}-\dfrac{23}{45}\right\)

Take LCM

\(\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23 - 23}{45}\)

Simplify the numerator

\(\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{0}{45}\)

Divide 0 by 45

\(\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = 0\)

0 is neither positive nor negative.

Hence, the sign of the expression is neither positive nor negative.

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Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

Answer:

102

Step-by-step explanation:

<QRT and <VTU are alternate exterior angles, so they are congruent.

m<QRT = m<VTU

x + 40 = 2x -22

62 = x

m<QRT = x + 40 = 62 + 40 = 102

m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102

Burrito King has recently developed an automated burrito production system for its drive-up fast-food franchises called the Burro-Master 9000.

To determine the required space for the line at the drive-up window, Burrito King needs to know the expected average number of customers per minute. It has been determined that the Poisson distribution of customer arrival is such that customers arrive at the window every 50 seconds on average. To determine the expected average number of customers per minute, we need to convert the customer arrival rate from 50 seconds per customer to customers per minute. To accomplish this, we divide 60 by 50 and get 1.2 customers per minute. We will use this value to calculate the expected average number of customers at the window using the Poisson distribution formula: λ = np where λ is the expected average number of customers at the window, n is the average arrival rate, and p is the average service rate. The average service rate is the reciprocal of the time it takes to produce a batch of burritos, which is 45 seconds per batch. Thus, the average service rate is 1/45 batches per second. To convert this to batches per minute, we multiply by 60, getting 4/3 batches per minute. Finally, we plug in the values of λ = 1.2, n = 4/3 and solve for λ.λ = (4/3) * 1.2λ = 1.6Thus, the expected average number of customers at the window is 1.6 per minute.

Burrito King has estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To calculate the average number of customers per minute, we first convert the arrival rate to customers per minute. The Burro-Master 9000 takes 45 seconds to produce a batch of burritos, so the average service rate is 4/3 batches per minute. Plugging in the values, we get an expected average number of customers at the window of 1.6 per minute.

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Answer:

separate : x-4y=1
= x-2y = 10

the other one: x = 6y + 2

togetehr : x = -1 , y = -1/2

step-by-step explanation:

i don't know if they're together so ima give you the answer for them if they are and just separte answers

Answer:

Sarah has greatest percentage of heads

Answer:

Sarah.

Alice had 75 percent

Mary had 80 percent

Ellen had 60 percent

while Sarah got 85 percent

Step-by-step explanation:

Mary 8 out of 10 is technically 8/10 and fractions are division problems so 8/10 is 0.8 times 10 is 80 same goes for the rest of them, divide then multiply by 10

The inequality represents how many sandwiches, the food truck is

s($7.75-$1.70)>$7,900.00

The solution of the inequality is,1,305.79

The more number of sandwiches it has to sell is 1373 more sandwiches.

Given that,

A local food truck specializes in gourmet grilled cheese sandwiches.

Each month, the owners of the truck have a constant total of $7,900 in expenses (salaries, truck loan, etc.) and it costs $1.70 per sandwich to make each sandwich.

The food truck sells its sandwiches for $7.75 each.

We have to determine,

Write an inequality to represent how many sandwiches, the food truck.

Solve the inequality.

To gain more sales, the food truck offers a discount one month of $1.50 off its sandwiches.

How many more sandwiches will it need to sell to earn more money from selling sandwiches than it pays in expenses and food costs

According to the question,

The constant total expenses (fixed cost), C = $7,900

The cost takes to make each sandwich,  = $1.70

The price at which the food truck sells its sandwiches,  = $7.75

Where "s" represents the number of sandwiches sold.

The inequality that represents the number of sandwiches the food truck will have to sell each month to earn more money from selling sandwiches than it pays in expenses and sandwich costs is given as follows;

s×(cs - ps)>c

Substituting the known value in the equation,

s($7.75-$1.70)>$7,900.00

The inequality, which we have; s > $7,900/($7.75 - $1.70)

      $7,900/($7.75 - $1.70)

      = 158,000/121

     ≈ 1,305.79

The nearest whole number since we are counting sandwiches which are counted per piece.

Therefore;

s > 1,306 sandwiches

An explanation is that the food truck will have to sell more than 1,305 sandwiches to earn more money than it pays in expenses and sandwich costs.

The amount in discount the food truck offers in a specific month = $1.50 Therefore, the amount the food truck sells the sandwich in the given month  = $7.75 - $1.50 = $6.25

The number of sandwiches the food truck company will have to sell on that month to earn more money from selling sandwiches than it pays the in expenses and sandwich cost, "s" is given as follows;

s×(cs - ps)>c

s × (6.25-1.70) > 7900

s > 7900/(6.25-1.70)

7900/(6.25-1.70)

≈ 173.26

s>1737

Therefore, the number of more (extra) sandwiches the food truck have to sell to earn money from selling sandwiches than it pays in expenses and food costs is the difference in the number of sandwiches it has to sell at $7.75 and $6.25 to earn more money than it pays in fixed expenses (costs) and the sandwich cost which is given as follows;

At $7.75 the number of sandwiches the food truck has to sell s > 1,306

At $1.70 the number of sandwiches the food truck has to sell is s > 1,737

The more number of sandwiches it has to sell = 1,737 - 1,306 = 431 more sandwiches

The more number of sandwiches it has to sell = 431 more sandwiches

= 1306 + 431 = 1737

Hence we get the required answers

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Answer:

g(x) = –3(x + 6)2 + 48.

Step-by-step explanation:

The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

Answer:

Answer for this equation: h(x) = 3x2 - 7?

The graph of f(x) is vertically stretched by a factor of 3 and shifted

7 units down.

Step-by-step explanation:

Ap3x Confirmed

a. From fastest to slowest, the speeds of the balls at the right ends of the tracks will depend on the curvature of the tracks.

If the tracks are of equal length but have different curvatures, the ball on the track with the least curvature will have the highest speed, followed by the ball on the track with the next least curvature, followed by the ball on the track with the most curvature.

b. From longest to shortest, the tracks in terms of the times for the balls to reach the ends will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the most curvature will have the longest time for the ball to reach the end, followed by the track with the next most curvature, followed by the track with the least curvature.

c. From greatest to least, the tracks in terms of the average speeds of the balls will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the least curvature will have the highest average speed, followed by the track with the next least curvature, followed by the track with the most curvature.

All the balls will have the same average speed on all three tracks if the track lengths are equal, but will have different speeds at the end of each track due to the different curvatures.

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Answer: C

Step-by-step explanation:

At a = 2 and b = -3, the correct expression which has the largest value is,

⇒ 2a - 3b

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are,

A. 2a+3b

B. 3a+2b

C. 2a-3b

D. 3a-2b

Put a = 2 and b = - 3 in expressions as;

A. 2a + 3b

⇒ 2 × 2 + 3 × - 3

⇒ 4 - 9

⇒ - 5

B. 3a+2b

⇒ 3 × 2 + 2 × - 3

⇒ 6 - 6

⇒ 0

C. 2a-3b

⇒ 2 × 2 - 3 × - 3

⇒ 4 + 9

⇒ 13

D. 3a-2b

⇒ 3 × 2 - 2 × - 3

⇒ 6 + 6

⇒ 12

Thus, Option C has the largest value.

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Answer:

Step-by-step explanation:

you just add 9000 to 250 which is equals to 9250 the clue was at the very bottom. "How many meters are there between the plane AND the submarine" 'and' is automatically addition.

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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The expression can be rewritten as, by taking the common factor, 9 x³y³(2x - 4y), so option C is correct.

Common factors are those that apply to two or more different integers. To put it another way, a common factor is a number that will divide a group of two numbers exactly.

Given:

18 x⁴y³− 36x³y⁴

Factorize the above expression,

9 × 2 x⁴y³ - 9 × 4x³y⁴

Take common 9 x³y³

9 x³y³(2x - 4y)

Therefore, the expression can be rewritten as, by taking the common factor, 9 x³y³(2x - 4y).

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Answer: 3

Step-by-step explanation:

Divide every mile is one minute

Answer:

B. X = 76, y = 63, z = 104

Step-by-step explanation:

46+58+x=180

104+x=180

x=180-104

x=76

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation:

The object fell from a height of approximately 7.057 meters above the ground.


We can solve this problem using the equations of motion for a freely falling object. The equation we’ll use is:
H = (1/2) * g * t^2
Where h is the initial height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time taken to travel the last distance. Rearranging the equation, we get:

H = (24.0 m) + (1/2) * (9.8 m/s^2) * (1.20 s)^2
Calculating this expression, we find that h is approximately 7.057 meters. Therefore, the object fell from a height of approximately 7.057 meters above the ground.

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Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

rigonometry has numerous practical applications in fields such as engineering, physics, navigation, and astronomy, and is essential in solving problems related to triangles and periodic phenomena.

Some common topics in trigonometry include trigonometric identities, inverse trigonometric functions, and the use of trigonometry in complex numbers and calculus.

sin2 θ (1 + cot2 θ)

Using the identity cot²θ + 1 = csc²θ, we can write:

sin²θ (1 + cot²θ) = sin²θ csc²θ

Next, using the identity csc²θ = 1/sin²θ, we get:

sin²θ csc²θ = sin²θ / sin²θ = 1

Therefore, sin²θ (1 + cot²θ) simplifies to 1.

tan θ/cos θ − sec θ

Using the identity sec θ = 1/cos θ, we can write:

tan θ/cos θ − sec θ = tan θ/cos θ − 1/cos θ

Next, we can combine the two fractions by finding a common denominator:

tan θ/cos θ − 1/cos θ = (tan θ - 1) / cos θ

Therefore, the expression simplifies to (tan θ - 1) / cos θ.

sin 14° cos 46° + cos 14° sin 46°

Using the identity sin(α + β) = sin α cos β + cos α sin β, we can write:

sin 14° cos 46° + cos 14° sin 46° = sin(14° + 46°)

Simplifying the sum inside the sine function, we get:

sin(14° + 46°) = sin 60°

Therefore, the expression simplifies to sin 60°, which is equal to √3/2.

sin(4π/5) cos(7π/5) - cos(4π/5) sin(7π/5)

Using the identity sin(α - β) = sin α cos β - cos α sin β, we can write:

sin(4π/5) cos(7π/5) - cos(4π/5) sin(7π/5) = sin(4π/5 - 7π/5)

Simplifying the difference inside the sine function, we get:

sin(4π/5 - 7π/5) = sin(-3π/5)

Using the identity sin(-θ) = -sin θ, we can write:

sin(-3π/5) = -sin(3π/5)

Using the fact that sin θ = sin(π - θ), we can write:

sin(3π/5) = sin(π - 2π/5) = sin(2π/5)

Using the fact that sin θ = sin(π - θ), we can write:

sin(2π/5) = sin(π - 3π/5) = sin(3π/5)

Therefore,

The expression simplifies to -sin(3π/5), which is equal to -√3/2.

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Answer:

7.75

Step-by-step explanation:

Multiply y-4 both sides

(y-4) 3/y-4 =4/5(y-4)

3=4/5(y-4)

3/(4/5)=y-4

(3/(4/5))+4

Put in calculator

y=31/4

y=7.75

Answer:

y = 7.75

Step-by-step explanation:

3 = 4/5 x y-4

3x5 = 4 x y-4

15 = 4y-16

15+16 = 4y

31/4 = y

y = 7.75

Answer:

C or the third one

Step-by-step explanation:

Answer:

C: \(5\sqrt{3}\)

Step-by-step explanation:

\(\sqrt{75} = \sqrt{25} \sqrt{3} =5 \sqrt{3}\)

Answer:

15

Step-by-step explanation:

500-60=440

440/30=14.66666667

simplify 14.66666667= 15

Starting Equation : 4x+6<-6

1. Subtract 6 from both sides

4x+6-6<-6-6

2. Simplify

4x<-12

3. Divide both sides by 4

4x/4 < -12/4

4. Lastly Simplify again

x < -3

Decreasing the circumference of a tire by 20% would increase the number of rotations required to travel a given distance.

What is Circumference ?

Circumference is the distance around the outside of a circle or a curved object. It is the measurement of the boundary line or the perimeter of the circular object. The circumference of a circle is calculated using the formula C = 2πr, where "C" is the circumference, "r" is the radius of the circle, and "π" (pi) is a mathematical constant approximately equal to 3.14159.

The number of rotations of a tire depends on its circumference, which is the distance around the outside of the tire. If the circumference of a tire decreased by 20%, it means that the distance around the outside of the tire would be 20% less than it was before. This would cause the tire to cover less ground in each rotation, which would result in an increase in the number of rotations needed to travel a given distance. Specifically, the number of rotations would increase by 20% for the same distance traveled, as the tire would need to rotate more times to cover the same distance due to the reduced circumference.

Therefore, decreasing the circumference of a tire by 20% would increase the number of rotations required to travel a given distance.

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Answer:

The length of the side BC is 6 units

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

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

We need to calculate the distance between B(7,5) and C(7,-1):

\(d=\sqrt{(7-7)^2+(5+1)^2}\)

\(d=\sqrt{36}\)

d=6

The length of the side BC is 6 units

The height of the right triangle is 24 centimeters. This is determined by solving the equation for the area of the triangle, which is given as 96 cm², and considering that the height is 3 times the length of the base. By substituting the values and solving the equation, we find that the height is indeed 24 centimeters.

To determine the height of the right triangle, we can use the formula for the area of a triangle, which is given by the formula A = (1/2) * base * height. In this case, the area is known to be \(96 cm^2\).

Let's denote the length of the base as x. According to the problem statement, the height is 3 times the length of the base, so the height can be expressed as 3x.

Substituting these values into the area formula, we get:

\(96 = (1/2) * x * 3x\)

Simplifying the equation:

\(96 = (3/2) * x^2\)

To solve for x, we can divide both sides of the equation by (3/2):

\(64 = x^2\)

Taking the square root of both sides, we find:

x = 8

Since the height is 3 times the length of the base, the height is:

3 * 8 = 24 centimeters.

Therefore, the height of the right triangle is 24 centimeters.

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Answer: 5.22 n squared

Step-by-step explanation:

Answer:

The area is 2.61 in²

The 3rd option listed in the picture.

Step-by-step explanation:

The formula for the area of a hexagon when given the side length and the apothem is

\(A=\frac{r*P}{2}\)

Note

\(A\) is the area

\(r\) is the apothem

\(P\) is the perimeter

The formula for the perimeter of a hexagon is

\(P=6s\)

Note

\(P\) is the perimeter

\(s\) is the side length

Numerical Evaluation

We are given

\(r=0.87\\s=1\)

Lets evaluate the perimeter first.

Substituting the side value into the perimeter equation gives us

\(P=6*1\\P=6\)

Now that we know the perimeter we can evaluate the area.

Substituting our values into the area equation gives us

\(A=\frac{0.87*6}{2}\)

\(A=\frac{5.22}{2}\)

\(A=2.61\)

Answer:

x=1, y=-2

Step-by-step explanation:

\( - 4x + 2 = 6x - 8\)

\(2 = 10x - 8\)

\(10 = 10x\)

\(x = 1\)

\( - 4(1) + 2 = - 2\)

and

\(6(1) - 8 = - 2\)

so

\(y = - 2\)