Please some one help and including answer this is due today hurry please.

Please Some One Help And Including Answer This Is Due Today Hurry Please.

Answers

Answer 1

To find the minimum value of a quadratic function most efficiently, we would like to see the quadratic function in its vertex form.

How to solve

The vertex form of a quadratic function is given by:

f(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola, and "a" determines the direction and the "stretch" of the parabola.

If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards.

The minimum value of the function occurs at the vertex if the parabola opens upwards (a > 0), and the maximum value occurs at the vertex if the parabola opens downwards (a < 0).

In this case, since we're looking for the minimum value, we would want a quadratic function where a > 0. Once we have the vertex form, we can easily identify the vertex (h, k), and the minimum value of the function will be k.

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Related Questions

A 30
-foot-tall street lamp casts a 16.5
-foot-long shadow. Use the reciprocal functions and the Pythagorean Theorem, as necessary, to determine the distance from the top of the lamppost to the farthest part of the shadow. What is the angle at which the street lamp casts its shadow?

Answers

Step-by-step explanation:

See image

what is 8² + 36 vfvdscvfcfd

Answers

Answer:

100 or 10²

Step-by-step explanation:

8² = 64

36 = 6²

64 + 36 = 100

8² + 6² = 10²

8x8= 64 + 36= 100

60 + 30= 90
6 + 4= 10
90 + 10= 100

will mark brainliest

Answers

This is challenging to visualize but similar to your other problem. You want to maximize x and y to maximize c.

The problem just boils down to solving the linear system.

2x + 2y = 10

3x + y = 9

I changed the less than or equal signs to equal signs because we want the largest values not the ones less than the max. I think you know how to solve this system based on the difficulty of the problem but I can give a solution. Let's use elimination. Multiplying the second equation by two and adding it to the first we have...

   -2(3x + y = 9)

+ (2x + 2y = 10)

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

-4x = -8

x = 2

Then y = 9 - 3x (from eq 2) = 9 - 3(2) = 3

Then the max value of c = 4(2) + 2(3) = 14

Answer:x+y=c

Step-by-step explanation:

What values of a and y satisfy the system of equations 10x = 5y - 8 15x = -5y-2 Enter your answer as an ordered pair, like this: (42, 53) If your answer includes one or more fractions, use the /symbol to separate numerators and denominators. For example, if your answer is 42 64 53' 75 If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf." %), enter it like this: (42/53, 64/75)​

Answers

There are infinitely many solutions to this system.


We can solve the system of equations by elimination method:

10x = 5y - 8 (multiply both sides by 3)

15x = -5y - 2

30x = 15y - 24

15x = -5y - 2

Adding these two equations, we get:

45x = 13y - 26

Dividing both sides by 13, we get:

y = (45/13)x + 2

So any ordered pair (x, y) that satisfies this equation will also satisfy the system of equations given. There are infinitely many solutions to this system.

For example, if we let x = 13, then:

y = (45/13)(13) + 2 = 47

So one possible solution is (13, 47). Another possible solution is (26, 92/3).

Kimberly is admiring a statue in Newberry Park from 4 meters away. If the distance between the top of the statue to Kimberly's head is 9 meters, how much taller is the statue than Kimberly? If necessary, round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

To solve this problem, we need to use the concept of similar triangles.

Let's draw a diagram to visualize the situation:

     * Statue top

      |

      |

      |  9 m

      |

      |

      |

     / \

    /   \    4 m

Kimberly

We can see that we have two right triangles, one formed by Kimberly, the ground, and the point where the statue touches the ground, and the other formed by the statue, the ground, and the point where Kimberly's head touches the ground.

These two triangles are similar because they have the same angles. In particular, the angle at Kimberly's eye is the same as the angle at the top of the statue. This means that the corresponding sides are proportional.

Let's call the height of the statue "h". Then, we have:

h/9 = (h+4)/4

We can solve for "h" by cross-multiplying:

4h = 9(h+4)

4h = 9h + 36

5h = 36

h = 7.2

Therefore, the height of the statue is 7.2 meters. To find out how much taller the statue is than Kimberly, we subtract their heights:

7.2 m - 1.5 m = 5.7 m

So the statue is 5.7 meters taller than Kimberly.

A cylinder has a radius of 4 cm and a height of 9 cm.
A similar cylinder has a radius of 6 cm.

a. Find the scale factor of the smaller cylinder to the larger cylinder
b. What is the ratio of the circumferences of the bases? c. What is the ratio of the lateral areas of the cylinders?
d. What is the ratio of the volumes of the cylinders?
e. If the volume of the smaller cylinder is 144π cm³, what is the volume of the larger cylinder?​

Answers

Answer:

a. The scale factor of the smaller cylinder to the larger cylinder is the ratio of their radii, which is 4/6 or 2/3.

b. The circumference of the base of a cylinder is given by 2πr, where r is the radius of the base. Thus, the ratio of the circumferences of the bases of the two cylinders is:

(2π)(4)/(2π)(6) = 4/6 = 2/3

c. The lateral area of a cylinder is given by the formula 2πrh, where r is the radius of the base and h is the height. The ratio of the lateral areas of the two cylinders is:

(2π)(4)(9)/(2π)(6)(9) = 4/6 = 2/3

d. The volume of a cylinder is given by the formula πr²h. Thus, the ratio of the volumes of the two cylinders is:

(π)(4²)(9)/ (π)(6²)(9) = 16/36 = 4/9

e. If the volume of the smaller cylinder is 144π cm³, then we can use the formula for the volume of a cylinder to solve for the height of the smaller cylinder:

144π = π(4²)h

h = 9 cm

Since the two cylinders are similar, we know that the ratio of their heights is the same as the ratio of their radii, which is 2/3. Thus, the height of the larger cylinder is:

(2/3)(9) = 6 cm

Using the formula for the volume of a cylinder, we can now calculate the volume of the larger cylinder:

V = π(6²)(6) = 216π cm³

Step-by-step explanation:

pa brainliest po.

helloo, I need help!

Answers

Answer:

∠1 = 126°

∠4 = 54°

∠7 = 126°

Step-by-step explanation:

Since line p and line q are parallel lines we can use the angle relations to find the missing angle measures.

∠1 and ∠3 are alternate and congruent, so their measures are equal and 126° each.

∠4 and ∠3 are making a straight line and are supplementary angles, so their sum is adding up to 180°.

To find ∠4 we need to subtract 126 from 180:

180 - 126 = 54°

∠7 and ∠3 are corresponding angles and so they are equal in measurement and 126° each.

Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 4 feet, b = 1 foot, and c = 2.2 feet.


If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?


A. 101.6 square feet

B. 85.6 square feet
.
C. 117.6 square feet

Answers

Answer:

The answer to your problem is, 23.6 or 49.8

Step-by-step explanation:

Surface area of cube=4 x a²----> 4 x 2²-----> 16  ft²

Surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]

Surface area of triangular prism=5.6+2----> 7.6 ft²

Surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²

Thus the answer to your problem is, 23.6 or 49.8

It could be either one did the same quiz but I had different answers every time so choose which one you have :).

according to the national retail federation, the average shopper will spend $1,007.24 during the holiday shopping season. what is the null and alternatehypothesis?

Answers

Based on the amount predicted to be spent, the hypotheses Null Hypothesis = $1,007.24 and Alternate Hypothesis ≠ $1,007.24

The null hypothesis, or H0, in statistics science is the exact reverse of what the researcher wants to investigate. Generally, unless there is compelling proof to the contrary, the null hypothesis is taken to be correct. Another theory that will demonstrate the area one wants to investigate and be reflected by H1 must be developed.

The forecast is confirmed by the null hypothesis, which in this instance is that the typical consumer will indeed spend $1,007.24. According to the Alternate Hypothesis, the predicted occurrence won't occur, so in this instance, the shopper wouldn't spend $1,007.24. In conclusion, the variant contradicts the null hypothesis and supports it.

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a school bake sale 4% of its cookies to the first customer there are 24 left how many did we begin with

Answers

The school begin with 25 cookies based on remaining 24 cookies and first selling of 4% cookies.

Let us assume the initial number of cookies be x. So, the remaining cookies percentage = 96%

Now, we are given the remaining cookies number. So, the equation will be -

96% × x = 24

Solving the equation by firstly converting the percentage into decimal

0.96x = 24

Rewriting the equation to further calculate the value of x

x = 24/0.96

Performing division on Right Hand Side of the equation

x = 25

Thus, there were total 25 cookies.

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how much total urine volume is excreted during this time period? (b) develop equations for the velocity of urine as it exits the body. assume that the urethra is 5.6 mm in diameter

Answers

(a)  Total urine volume is excreted during this time period is 442.34 mL.

(b) Equations for the velocity of urine is v = (-3 x [tex]V_t[/tex] + 7.35) / 2.46 x [tex]10^{-5}[/tex]

(a) To determine the total urine volume excreted during this time period, we need to integrate the flow rate function over the given time period. However, we are given two different equations for the flow rate for different ranges of time:

For t < 12 seconds, V = -0.306 x  [tex](t-7)^2[/tex]  + 15

For 12 ≤ t < 26.7 seconds, V = -3 x [tex]V_t[/tex]  + 7.35

To find the total urine volume, we need to first determine the time at which the flow rate changes from the first equation to the second.

We can do this by setting the two equations equal to each other and solving for t:

-0.306 x  [tex](t-7)^2[/tex]  + 15 = -3 x [tex]V_t[/tex] + 7.35

0.306 x  [tex](t-7)^2[/tex] + 3 x [tex]V_t[/tex]  = 7.65

0.306 x [tex](t-7)^2[/tex] = 7.65 - 3 x [tex]V_t[/tex]

[tex](t-7)^2[/tex] = (7.65 - 3 x [tex]V_t[/tex] ) / 0.306

t = 7 +/- [tex]\sqrt{((7.65 - 3 \times Vt) / 0.306)}[/tex]

Since t < 12 for the first equation, we can ignore the negative root and use the positive root to find the time at which the flow rate changes:

t = 7 + [tex]\sqrt{((7.65 - 3 \times 12) / 0.306)}[/tex]= 10.76 seconds

Now we can integrate each equation separately over their respective time ranges:

For 0 ≤ t < 10.76 seconds:

∫ V dt = ∫ (-0.306 x [tex](t-7)^2[/tex] + 15) dt

= [-0.102 x [tex](t-7)^3[/tex] + 15t] from t=0 to t=10.76

= 121.86 mL

For 10.76 ≤ t < 26.7 seconds:

∫ V dt = ∫ (-3 x [tex]V_t[/tex] + 7.35) dt

= [-1.5 x [tex]V_t^2[/tex] + 7.35t] from t=10.76 to t=26.7

= 320.48 mL

Therefore, the total urine volume excreted during this time period is:

121.86 mL + 320.48 mL = 442.34 mL

(b) To develop equations for the velocity of urine as it exits the body, we need to use the continuity equation, which states that the flow rate (V) is equal to the cross-sectional area (A) multiplied by the velocity (v):

V = A x v

We are given that the urethra has a diameter of 5.6 mm, which means the radius is 2.8 mm (or 0.0028 m).

The cross-sectional area can be calculated using the formula for the area of a circle:

A = π x [tex]r^2[/tex]

A = 3.14 x [tex](0.0028)^2[/tex]

A = 2.46 x   [tex]10^{-5}[/tex] [tex]m^2[/tex]

Now we can rearrange the continuity equation to solve for the velocity:

v = V / A

Substituting the given equations for V, we get:

For t < 12 seconds:

v = (-0.306 x [tex](t-7)^2[/tex] + 15) / 2.46 x  [tex]10^{-5}[/tex]

For 12 ≤ t < 26.7 seconds:

v = (-3 x  [tex]V_t[/tex] + 7.35) / 2.46 x [tex]10^{-5}[/tex]

Note that the velocity will be in units

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Question:-

The flow of urine from the bladder, through the urethra, and out of the body, is induced by increased pressure in the bladder resulting from muscle contractions around the bladder with simultaneous relaxation of the muscles in the urethra. The mean pressure in the bladder can be estimated using the velocity of urine as it exits the body. Assume that the bladder is about 5 cm above the external urethral orifice. (This height is different for males and females.) The flow rate of urine from the bladder can be approximately described with the following equations, where t is time in seconds, and V is flow rate in mL/s:

V = -0.306 X (t – 7)2 + 15 Osts 12

V = -3 X Vt 12 + 7.35 12 st < 26.7

(a) How much total urine volume is excreted during this time period?

(b) Develop equations for the velocity of as it exits the body. Assume that the urethra is 5.6 mm in diameter.

30 points for whoever solves

Answers

The probability that a person selected at random at this conference is a doctor or a woman is 63%.

What does probabilities means?

The theory of probability is a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes.

We will solve the problem using the union rule of probability. Using the given information, we can calculate the probabilities as follows:

P(doctor) = 53%

P(woman) = 41%

P(female doctor) = 31%

To find the probability that a person selected at random at this conference is a doctor or a woman, we can use the formula:

P(doctor or woman) = P(doctor) + P(woman) - P(doctor and woman)

We can calculate P(doctor and woman) by multiplying the probabilities of being a female doctor:

P(doctor and woman) = P(female doctor) = 31%

Substituting in the values, we get:

P(doctor or woman) = 53% + 41% - 31%

P(doctor or woman) = 63%.

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Find the surface area of the rectangular prism with 1= 15 m, w = 16 m, and h = 4 m.
960 m²
1,920 m²
70 m²
728 m²

Answers

Answer:

[tex]728 \: {m}^{2} [/tex]

Step-by-step explanation:

Given:

l = 15 m (length)

w = 16 m (width)

h = 4 m (height)

Find: a (surface) - ?

First, let's find the area of the base:

a (base) = l × w

a (base) = 15 × 16 = 240 m^2

Since the rectangular prism has 2 bases, we multiply this number by 2:

240 × 2 = 480 m^2 (area of both bases)

Now, let's find the lateral surface area:

a (lateral) = 2(4 × 15) + 2(4×16) = 2 × 60 + 2 × 64 = 120 + 128 = 248 m^2

Finally, in order to find the whole surface area, we have to add the lateral surface area and both bases area together:

a (surface) = a (lateral) + a (base)

a (surface) = 248 + 480 = 728 m^2

I need help please help me?

Answers

The graph for y = 4(1/4)ˣ is B)

Explain graphs.

A graph is a visual representation of a set of data, typically in the form of a diagram or a chart. A graph is made up of points, called vertices or nodes, that are connected by lines or curves, called edges. Graphs can be used to display various types of information, including mathematical functions, relationships between variables, and patterns in data. They are commonly used in fields such as science, engineering, economics, and social sciences to convey complex information in a simple and easy-to-understand manner.

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URGENT what is radical 55 over 28 as a fraction in simplest terms?

Answers

Answer:

look below its the answer i promise

Step-by-step explanation:

Which rows represent when (p ∧ q) ∨ (p ∧ r) is true?

Answers

To determine the rows where the expression (p ∧ q) ∨ (p ∧ r) is true, we can construct a truth table with columns for p, q, r, p ∧ q, p ∧ r, (p ∧ q) ∨ (p ∧ r), as shown below:

```

p | q | r | p ∧ q | p ∧ r | (p ∧ q) ∨ (p ∧ r)

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

T | T | T | T | T | T

T | T | F | T | T | T

T | F | T | F | T | T

T | F | F | F | F | F

F | T | T | F | F | F

F | T | F | F | F | F

F | F | T | F | F | F

F | F | F | F | F | F

```

The rows where the expression (p ∧ q) ∨ (p ∧ r) is true are the first, second, and third rows, where the last column is true. Therefore, the rows where the expression is true are:

```

p | q | r

--------

T | T | T

T | T | F

T | F | T

```

2√3 and √3 geometric mean

Answers

Answer:

Step-by-step explanation:

The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.

Example: What is the Geometric Mean of 2 and 18?

First we multiply them: 2 × 18 = 36

Then (as there are two numbers) take the square root: √36 = 6

In one line:

Geometric Mean of 2 and 18 = √(2 × 18) = 6

Yangdon bought 50 shares of a stock that had a face value of Nu 100 but were selling at a discount of 15%. A 25% dividend rate was paid at the end of one year. She then sold the stock at a 10% premium. a) How much profit did she make? b) How much was her profit as a percentage of her investment?​

Answers

Answer:

800$

Step-by-step explanation: not sure

log4 (x² - 2x) = log4 (3x + 8)

Answers

The solutions to the equation log4(x² - 2x) = log4(3x + 8) are x = 8 and x = -1.

To solve the equation log4(x² - 2x) = log4(3x + 8), we can use the property of logarithms that says if logb(a) = logb(c), then a = c.

Using this property, we can set the expressions inside the logarithms equal to each other:

x² - 2x = 3x + 8

Now we have a quadratic equation that we can solve:

x² - 2x - 3x - 8 = 0 x² - 5x - 8 = 0

We can factor this equation using the product-sum method:

x² - 5x - 8 = (x - 8)(x + 1)

Setting each factor equal to zero gives us the possible solutions:

x - 8 = 0 or x + 1 = 0

Solving for x in each case gives us:

x = 8 or x = -1

However, we need to check if either of these solutions make the argument of the logarithm negative or zero. If the argument is negative or zero, then the logarithm is undefined.

For the first solution, x = 8, we have:

log4(8² - 2(8)) = log4(3(8) + 8) log4(48) = log4(32)

Both arguments are positive, so x = 8 is a valid solution.

For the second solution, x = -1, we have:

log4((-1)² - 2(-1)) = log4(3(-1) + 8) log4(3) = log4(5)

Again, both arguments are positive, so x = -1 is also a valid solution.

Therefore, the solutions to the equation log4(x² - 2x) = log4(3x + 8) are x = 8 and x = -1.

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Write an equation that represents the line use exact numbers points (1,-4) and (3,-5)

Answers

y = -1/2x - 7/2

Find the slope by diving the change in y by the change in x:

(-5+4)/(3-1) = -1/2

m = -1/2

To find b, or the y intercept, you can either eyeball it on the graph or plug in one of the ordered pairs into the equation:

y = -1/2 x + b

Let’s use (1,-4):

(-4) = -1/2 (1) + b

-4 = -1/2 + b

-4 + 1/2 = b

-3 and 1/2 = b

-3 and 1-2 is also equal to -7/2, so

b = -7/2

And finally:

y = -1/2x - 7/2

a permutation is any arrangement of r objects selected from n possible objects. which formula is used to calculate the number of permutations?

Answers

The following formula is used: P(n,r) = n! / (n - r)! to the calculate  the number of permutations.

The formula used to calculate the number of permutations when a permutation is any arrangement of r objects

selected from n possible objects is P(n,r).

P(n,r) is the formula used to calculate the number of permutations.

Let us try to understand the concept of permutations first.

Permutations refer to the different ways of arranging elements.

It is represented as nPr called as n-permute-r.

Here, n represents the total number of elements present, and r represents the number of elements taken for each

permutation.

To calculate the number of permutations, the following formula is used:

P(n,r) = n! / (n - r)!

Where n! is equal to n-factorial that refers to the product of all numbers starting from 1 up to n.

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What is the surface area? 4 yd 4 yd 4 yd square yards

Answers

the surface area would be 96

Gavin is doing a survey to predict the results of an upcoming school election. He waits outside the lunchroom during each lunch period and surveys every tenth student leaving the lunchroom. This table shows the results of his survey.

Position - Votes
President
Henry 36
Christy 42
Celina 22
Vice President
Tristan 14
Kenny 46
Madison 40
Treasurer
Priscilla 53
Reuben 24
Erica 23
-Secretary-
Xavier 33
Ben 30
Charlie 37

Based on his survey, Gavin will predict who the 1,500 students in his school will vote for in the races for president, vice president, treasurer, and secretary. Complete the steps below to predict the outcome of the election.

Part A
Predict how many votes from the student population each candidate for president will get in the election. (Hint: Set up and solve a proportion between the sample and the population.)

Part B
Based on the survey results, who will most likely get the highest percentage of votes for the president’s position? What is that percentage?

Part C
Predict how many votes from the student population each candidate for vice president will get in the election.

Part D
Based on the survey results, who will most likely get the highest percentage of votes for the vice president’s position? What is that percentage?

Part E
Predict how many votes each candidate for treasurer will get in the election from the student population.

Part F
Based on the survey results, who will most likely get the highest percentage of votes for the treasurer’s position? What is that percentage?

Part G
Predict how many votes each candidate for secretary will get in the election from the student population.

Part H
Based on the survey results, who is most likely to get the highest percentage of votes for the secretary’s position? What is that percentage?

100 POINTS! PLEASE ANSWER ALL OF THEM OF I'LL REPORT YOUR ANSWER!!

Answers

Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.

What is probability?

Probability is a measure of the likelihood of an event occurring.

Part A:

To predict how many votes each candidate for president will get in the election, we can set up a proportion between the sample and the population

Let x be the number of votes each candidate will receive in the election.

For Henry:

36/150 = x/1500

x = (36/150) * 1500

x = 360

For Christy:

42/150 = x/1500

x = (42/150) * 1500

x = 420

For Celina:

22/150 = x/1500

x = (22/150) * 1500

x = 220

Therefore, Henry is predicted to receive 360 votes, Christy is predicted to receive 420 votes, and Celina is predicted to receive 220 votes for the president’s position.

Part B:

Based on the survey results, Christy is most likely to get the highest percentage of votes for the president’s position with 42/100 votes, which is approximately 42%.

Part C:

To predict how many votes each candidate for vice president will get in the election, we can set up a proportion between the sample and the population.

Let x be the number of votes each candidate will receive in the election.

For Tristan:

14/150 = x/1500

x = (14/150) * 1500

x = 140

For Kenny:

46/150 = x/1500

x = (46/150) * 1500

x = 460

For Madison:

40/150 = x/1500

x = (40/150) * 1500

x = 400

Therefore, Tristan is predicted to receive 140 votes, Kenny is predicted to receive 460 votes, and Madison is predicted to receive 400 votes for the vice president’s position.

Part D:

Based on the survey results, Kenny is most likely to get the highest percentage of votes for the vice president’s position with 46/100 votes, which is approximately 46%.

Part E:

To predict how many votes each candidate for treasurer will get in the election, we can set up a proportion between the sample and the population.

Let x be the number of votes each candidate will receive in the election.

For Priscilla:

53/150 = x/1500

x = (53/150) * 1500

x = 530

For Reuben:

24/150 = x/1500

x = (24/150) * 1500

x = 240

For Erica:

23/150 = x/1500

x = (23/150) * 1500

x = 230

Therefore, Priscilla is predicted to receive 530 votes, Reuben is predicted to receive 240 votes, and Erica is predicted to receive 230 votes for the treasurer’s position.

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Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly. Show work.

Answers

Answer:

1 over 36

Step-by-step explanation:

What is Limit of StartFraction 4 minus 3 x + x squared Over 2 x squared + 1 EndFraction as x approaches infinity? 0 One-half 2 nonexistent

Answers

The limit of the given function as x approaches infinity is 2.

What is infinity?

Infinity is a concept used in mathematics to represent a quantity that is unbounded or without limits. It is often used to describe a value or set of values that increases or decreases indefinitely without ever reaching a final value.

According to question:

To find the limit of the given function as x approaches infinity, we need to determine the behavior of the function as x becomes very large (positive or negative).

Let's examine the expression inside the limit as x approaches infinity:

StartFraction 4 - 3x + x² Over 2x² + 1 EndFraction

As x approaches infinity, the highest power term in the numerator and denominator dominates. In this case, the term x² dominates in the numerator and denominator. So we can simplify the expression by dividing both numerator and denominator by x²:

Start Fraction 4/x² - 3/x + 1 Over 2 + 1/x² End Fraction

As x approaches infinity, both the terms 3/x and 1/x² become very small and can be ignored. Therefore, the expression approaches:

Start Fraction 4/x² - 0 + 1 Over 2 + 0 End Fraction

which simplifies to:

Start Fraction 4 Over 2 End Fraction = 2

Therefore, the limit of the given function as x approaches infinity is 2.

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Nancy's new baby weighed 9.5 pounds one month after leaving the
hospital. If he gained 1.5 pounds since leaving the hospital, how many
ounces did he weigh when he left the hospital?

Answers

he weighed 128 ounces

I need help I need to show my work help me please

Answers

The value of x in the tangent angle formed by the intersecting chords on the circle is 8.

What is the value of x?

The value of x is calculated by setting up equation for the sum of angles in a circle in order to obtain the value of the opposite arc angle (arc WX) as shown below.

arc WX + arc WV + arc VX = 360 ( sum of angles in a circle)

arc WX + 96⁰ + 64⁰ = 360⁰

arc WX + 160 = 360

arc WX = 360 - 160

arc WX = 200

The value of angle WVX is equal to half of arc angle WX (based on intersecting chord theorem).

m ∠WVX = ¹/₂ arc WX

12x + 4 = ¹/₂ (200)

12x + 4 = 100

12x = 100 - 4

12x = 96

x = 96/12

x = 8

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Manuel has 18 yards of fabric to make table runners. It takes Three-fourths of a yard to make each runner. The expression that represents the amount of fabric left after making t table runners is 18 minus three-fourths t. Which are possible numbers of table runners that Manuel could make? Select three options.
20
22
24
26
28

Answers

Manuel could make up to 24 table runners with the given amount of fabric thus all possible values are 20, 22, and 24.

What is algebraic expressions?

One or more variables, integers, and mathematical operations like addition, subtraction, multiplication, and division are all included in an algebraic expression. Algebraic expressions are used to simulate events in the actual world and to represent relationships between quantities. Constants (fixed values), variables (unknown values), and coefficients can all be found in an algebraic equation (numbers multiplied by variables).

The expression for the left over fabric is:

Amount of fabric left = 18 - (3/4)t

Solving for t we have:

(3/4)t = 18

t = 24

Hence, Manuel could make up to 24 table runners with the given amount of fabric, thus all possible values are 20, 22, and 24.

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Find the volume of the cylinder. Round your answer to the nearest tenth.
V:
11
9 ft
8 ft

Answers

Therefore , the solution of the given problem of volume comes out to be  roughly 1,814.4 cubic feet.


What precisely is volume?

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. These symbols for cubic dimensions are liter and in3. However, you must be aware of an object's volume in order to calculate its dimensions. It is standard practice to translate an object's weight to mass units like grams and kilograms.

Here,

V = r2h, where r is the radius and h is the height, is the expression for a cylinder's volume.

We are informed that the cylindrical has a 9-foot height and an 8-foot radius. (since the diameter is 16 ft).

When the formula's numbers are substituted, we obtain:

=> V = π(8 ft)²(9 ft)

=> V = π(64 ft²)(9 ft)

=> V = 1,814.37 ft³

We can calculate this result as V = 1,814.4 ft³ by rounding to the nearest tenth.

The cylinder's capacity is therefore roughly 1,814.4 cubic feet.


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Proportion word problems
ate
minutes
Nahla G
Scott likes to run long distances. He can run 20 km in 85 minutes. He
wants to know how many minutes (m) it will take him to run 52 km at
the same pace.
How long will it take Scott to run 52 km?

Answers

Scott will therefore need 221 minutes to complete 52 kilometers at his current pace.

What does a lengthy example entail?

Long-distance travel refers to a journey between two locations that are far apart. The best option for long-distance travel is the train because it is dependable and affordable. Communication that takes place over a long distance is referred to as long-distance. His lover in Colorado gave him a long-distance call.

We may construct a proportion to calculate how long it will take Scott to complete 52 kilometers at the same speed:

52 km/m at 20 km/85 min.

We can cross-multiply to find the value of m:

20 km * m equals 85 min * 52 km.

Simplifying:

20m = 4420

20 divided by both sides:

m = 221

Scott will therefore need 221 minutes to complete 52 kilometers at his current pace.

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