Will mark Brainliest!!
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −16^2 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how
long it takes for this to occur using an algebraic method. Show all of your reasoning used with this
algebraic method

Two sets of possible dimensions for the rectangular pyramid that uses the same amount of clay as the rectangular prism are 2 inches base and 1.5 inches height, and 3 inches by a 1-inch base and 1-inch height.

The volume of the rectangular prism is 6 inches * 1 inch * 1/2 inch = 3 cubic inches. To determine the possible dimensions for the pyramid, we need to find the dimensions that will give us the same volume.

One set of possible dimensions for the pyramid would be a base that is 2 inches by 2 inches, and a height of 1.5 inches. This would give a volume of 2 inches * 2 inches * 1.5 inches / 3 = 2 cubic inches, which is the same as the original rectangular prism.

Another set of possible dimensions would be a base that is 3 inches by 1 inch and a height of 1 inch. This would give a volume of 3 inches * 1 inch * 1 inch / 3 = 1 cubic inch, which is the same as the original rectangular prism.

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Answer:

A ≈ 300 cm²

Step-by-step explanation:

Area of a circle: πr² (where r is the radius)

Substitute the given values into the formula:

⇒ A = πr²

⇒ A ≈ (3)(10)²

⇒ A ≈ 3(100)

⇒ A ≈ 300 cm²

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Hey there!

\( \red{\underline{\bold{\blue{Area \: of \: a \: circle}}}} \)

\( \\ \)

\( \red{\boxed{\bold{\blue{A \approx 300{cm}^{2}}}}} \)

The area of a circle is calculated using the following formula :

\( \sf{\blue{A} = \orange{\pi} \times \red{r}^{2}} \\ \sf{where \: \red{r}\: is \: the \: radius \: of \: the \: circle} \)

⇢Here, we consider that π = 3 but in reality, π ≈ 3 replace \( \orange{\pi} \) with 3 and \( \red{r} \) with 10 :

\( \sf{\blue{A} = \orange{\pi} \times \red{r}^{2} } \: \: \: \\ \sf{\blue{A} \approx \orange{3} \times \red{10}^{2} } \\ \sf{\blue{A} \approx \orange{3} \times \red{100} } \\ \green{ \boxed{\sf{\blue{A} \approx300{cm}^{2}}}} \)

⇒Therefore, the area of the circle is about 300cm².

\( \\ \)

Answer:

(m×1/3)-6=y

Step-by-step explanation:

The interval of I₁ or I₂ or I₄ is  (2.5 ,10].

The interval of I₁ and I₂ is  [3 , 5.5] .

The interval of I₁ and I₃ is  [5.5]

The interval of I₁ and I₄ is (5.6 , 7]

(a) because the all 3 intervals square measure connected by or which suggests they're going to all embrace the quantity lying from interval one to three and is given by (2.5 ,10].

(b) because the interval square measure connected by and which suggests the common numbers lying in interval one and a couple of and is given by [3 , 5.5] .

(c) because the interval square measure connected by and which suggests the common numbers lying in interval one and three and is given by [5.5]

(d)As the interval square measure connected by and which suggests the common numbers lying in interval one and four and is given by (5.6 , 7] .

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The complete question is given below :

Given the intervals I₁ = (2.5, 5.5], I₂ =[3, 6], I₃=[5.5, 7] and I₄ = (5.5, 10]. Find

(a) I₁ or I₂ or I₄

(b) I₁ and I₂

(c) I₁ and I₃

(d) I₁ and I₄

The integer in simplest form in -59/40.

It is required to find the scientific notation.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The given integer is

-7/8-(3/5)

We have to find the integer in simplest form.

According to given question we have

-7/8-(3/5)

=-7/8-3/5

Taking LCM of 8 and 5 we get,

LCM(8,5)=40

=-35-24/40

=-59/40

Therefore, the integer in simplest form in -59/40.

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Toby cycles 12 miles each day.

To find out how far Toby cycles each day, we need to add up the distance he covers during his morning and afternoon trips. Here are the steps we need to follow:

Step 1: Determine Toby's cycling distance from his house to his schoolDistance from Toby's house to his school = 4 miles west. Toby bicycles this distance every day. Therefore, his one-way cycling distance from home to school is 4 miles.

Step 2: Determine Toby's cycling distance from his school to Erica's house.Distance from Toby's school to Erica's house = 3 miles south. Toby cycles this distance every day after school. Therefore, his one-way cycling distance from school to Erica's house is 3 miles.

Step 3: Determine Toby's cycling distance from Erica's house to his house.Distance from Erica's house to Toby's house = we don't know. But we know that Toby takes a bike path that goes straight from Erica's house to his own house. Therefore, we can assume that the distance from Erica's house to Toby's house is the hypotenuse of a right-angled triangle with legs of 3 miles (south) and 4 miles (west).

We can use the Pythagorean Theorem to find the hypotenuse: c2 = a2 + b2c2 = 32 + 42c2 = 9 + 16c2 = 25c = √25c = 5 milesTherefore, Toby cycles 5 miles every day on his bike path from Erica's house to his own house.Step 4: Add up Toby's one-way cycling distances to find out how far he cycles each day.Toby's one-way cycling distance from home to school = 4 milesToby's one-way cycling distance from school to Erica's house = 3 milesToby's one-way cycling distance from Erica's house to his house = 5 milesTotal cycling distance = 4 + 3 + 5Total cycling distance = 12 miles.

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Full question attached

Answer:

1. Subjects were not aware of the purpose of the experiment.

2. Subjects were not aware of all potential risks.

Subjects were not aware of the purpose of the experiment.

3. Subjects were coerced into participating

Explanation:

Ethics are the moral principles and codes that guide our daily decisions and actions. Ethical issues in conducting experiments or research aim at protecting the dignity of subjects or participants in the research. Major ethical issues in conducting research include: Respect for anonymity and confidentiality, beneficence(should not harm participants), and informed consent(independently volunteers after clear comprehensive information on research).

1. Experiment violates informed consent as participants were not aware of the purpose of research.

2. Experiment violates informed consent and beneficence as participants weren't fully informed and faced the risk of being harmed.

3. Experiment violates beneficence and informed consent as participants faced the risk of being harmed and did not independently volunteer for the research.

Answer:

8

Step-by-step explanation:

Income = 0

  so    0   = 9x^2 - 54x - 154  

             you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....

    divide both sides of the equation by 9 to get

           x^2 -6x -16   = 0  which easily factors to :

          (x -8)(x+2) = 0     <===== this shows x = 8   or -2(throw out)

Answer:

11855.37

Step-by-step explanation:

Round up because the number on right was 5.

Answer:

11855.37

Step-by-step explanation:

The 6 place value in 11855.3657 is hundredth so then use the 5

that behind 6 and make 6 go up an number. After that take away 5

and 7. So then your answer will be 11855.37 :)

In this method, we first initialize the first two terms of the series as 'a' and 'b' respectively. We then print the first two terms separately. After that, we use a loop to generate and print the remaining terms of the series.

Here is a method in Python to print the Fibonacci series up to a given number of terms 'n':

```
def fibonacci(n):
   # Initialize the first two terms of the series
   a, b = 0, 1
   # Print the first term
   print(a)
   # Print the second term
   if n >= 2:
       print(b)
   # Generate and print the remaining terms
   for i in range(2, n):
       # Compute the next term in the series
       c = a + b
       # Update the values of a and b
       a, b = b, c
       # Print the next term
       print(c)
```

Inside the loop, we first compute the next term of the series as the sum of the previous two terms (i.e. 'a' and 'b'). We then update the values of 'a' and 'b' to prepare for the next iteration. Finally, we print the next term of the series.

You can call this method with the desired value of 'n' to print the Fibonacci series up to the given number of terms. For example:

```
fibonacci(7)
```

This would print the Fibonacci series up to 7 terms: 0, 1, 1, 2, 3, 5, and 8.

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Mr. Chavez talked for 100 minutes in the period of January, if Ab & t charge $30 for unlimited text and $. 10 per minute of talk time, if Mr Chavez paid $40 for the month of january.

Let x be the quantity of minutes Mr. Chavez talked.

His absolute bill for messages and calls can be addressed as 30 + 0.10x dollars.

Since he paid $40, we can set the articulation for his bill equivalent to 40 and address for x:

30 + 0.10x = 40

Deducting 30 from the two sides, we get:

0.10x = 10

Isolating the two sides by 0.10, we get:

x = 100

In this way, Mr. Chavez talked for 100 minutes in the period of January

Mr. Chavez paid $40 altogether for his telephone bill in January which incorporates limitless message and talk time. The charge for limitless text is $30 and the charge each moment of talk time is $0.10. In the event that we let x be the quantity of minutes Mr. Chavez talked, his absolute bill can be addressed as 30 + 0.10x dollars. By setting this articulation equivalent to $40 and settling for x, we track down that Mr. Chavez talked for 100 minutes in January.

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Answer:

omg whats the answer

Step-by-step explanation:

Answer:

B) n=-2

Step-by-step explanation:

First, distribute.

7(1+4n)-5=-38+8n

7+28n-5=-38+8n

Combine like terms.

2+28n=-38+8n

To make solving the equation easier, subtract 8n first, so there isn't a negative variable.

2+28n=-38+8n

  -8n           -8n

2+20n=-38

Subtract 2 on both sides.

2+20n=-38

-2          -2

20n=-40

Divide by 20 on both sides.

20n=-40

/20   /20

n=-2

Hope this helps!! Have a wonderful day :3

Answer:

a

Step-by-step explanation:

none of the x or y values repeat

The next step for the teacher in this lesson series is to give them questions on addition to show the knowledge regarding the addition.

From the information, the teacher is introducing two-digit addition to a second-grade class.

In this case, the teacher first models adding a problem with unifix cubes to demonstrate the relationship between tens and ones and also models adding a problem with base ten blocks and has the students draw and write the problem in their math notebooks.

Therefore, it can be deduced that the teacher has taught them the necessary things to know regarding the topic. Hence, it's important to give them questions on addition to show the knowledge regarding the topic.

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Answer:

21. 41,281

22. 17,401

23. 682,198

24. 1,795,329

29. 360

30. 335

31. 5,992

25. 78,461

26. 2158

27. 3167029

28. 5955748

32. 1452

33. 612

34. 7141

Your welcome

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

x=11

Step-by-step explanation:

p is the midpoint of XZ so 2x+2 = 24(half of 48)

2x=22

x=11

(i'm assuming the question is to find x)

We have: PX = 1/2 XZ (Z is the middle point of XZ)

=> 2x + 2 = 1/2.48

=> 2(x + 1) = 24

=> x + 1 = 24/2 = 12

=> x = 12 - 1 = 11

ANSWER: x = 11

Ok done. Thank to me :>

Answer:

C

Step-by-step explanation:

Assuming that the symbols before 8211 and the number itself are a minus that the pc didn’t recognise

1) multiply 4 for 5mn^4 and 5n. (Mutiply numbers for numbers and don’t change the literal part)

20mn^4 + 20n - 5mn^4 -2

2) sum the like therms (with the same literal part)

15mn^4 +  20n - 2

Answer:

7 minutes per mile

Step-by-step explanation:

42/6=7

From the profit of the transaction, we are able to determine the sale price as 210 quetzales

To find the sale price, we need to calculate the profit and add it to the cost price.

Given that the cost price of the box of tomatoes is 150 quetzales and the profit is 40% of the cost price, we can calculate the profit as follows:

Profit = 40% of Cost Price

Profit = 40/100 * 150

Profit = 0.4 * 150

Profit = 60 quetzales

Now, to find the sale price, we add the profit to the cost price:

Sale Price = Cost Price + Profit

Sale Price = 150 + 60

Sale Price = 210 quetzales

Therefore, the sale price of the box of tomatoes is 210 quetzales.

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Translation: A merchant has sold a merchant has sold a box of tomatoes that cost him 150 quetzales, obtaining a profit of 40% Find the sale price

Answer:

k=84

Step-by-step explanation:

k= 4 x 21

K= 84

This is self explanatory.

Given:

K = 4 TIMES 21

Which means -

K = 4*21

  = 84

which is equal to 84

The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

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The sum of any number and zero is the original number: Identity property

When two numbers are added, the sum is the same regardless of the order of addends: Commutative property

When three or more numbers are added, the sum is the same regardless of how the addends are grouped: Associative property

A + B = B + A if A and B are any two whole numbers.

In other words, the sum of two whole numbers is true regardless of how the addends—or real numbers—are arranged.

Any order will work for adding the numbers. Even if the numbers are rearranged, the sum of the two numbers remains the same.

When an is a whole number, A + 0 equals 0 + A.

In other words, the number itself is equal to the sum of any whole number and zero. In other words, zero is the only whole number that when added to, does not alter the value (identity) of the original number.

The additive identity or identity element for the addition of whole numbers is the integer 0 (zero).

When zero is added to a number, the result is unchanged.

If any three whole numbers are A, B, and C, then (A + B) + C = A + (B + C)

In other words, whole number addition is associative.

Any group or placement of the numbers has no effect on the sum when three or more are added.

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There is a formula to calculate logarithms to base 2 or log base 2 equations. The formula is stated by log₂x = log₁₀x/log₁₀2.

A logarithm is an exponent to which a base must be raised to generate a given number. Expressed mathematically, x is the logarithm of n to the base a if ax = n, in which case one writes x = logₐn.

A logarithm is defined using an exponent.

aˣ = b ⇔ logₐb = x

Here, "log" stands for logarithm. The arrow's right part is read as "Logarithm of b to the base a is equal to x".

Let us take an example of log base 2 equations,

log₂49

Using the change of base formula,

= log₂x = log₁₀x/log₁₀2

= log₂49 = log₁₀49/log₁₀2

= 1.69019608/0.301030

= 5.6147

Therefore, the value of log₂49 is 5.6147.

--The given question is incomplete; the complete question is

"How do you solve log base 2 equations?"--

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It is a linear function , Option A is the right answer.

The missing graph is attached with the image

A linear function is a function that can be represented by the equation

y = mx +c

where m  is the slope and the c is the intercept on y axis.

From the graph it can be seen that it is following a straight line pattern and therefore it can be represented by y = mx +c and

Therefore it is a linear function , Option A is the right answer.

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The number we should pick near average value is 252 or 253.

In this given scenario, we have 10 players, everyone wagers 100 bucks and everyone picks 0-100. The person who picks to half the average wins the prize. To determine what number we should pick and why, let's start by solving the problem step-by-step.

Step 1: Find the average value of all picks.To find the average, we add up all the picks and divide by the number of players. We have 10 players, so: Sum of all picks = 0 + 1 + 2 + ... + 99 + 100 = 5050

Average value = (sum of all picks) / (number of players)= 5050 / 10= 505

Step 2: Half the average value. To half the average value, we divide it by 2:

Half of average = (average value) / 2= 505 / 2= 252.5

Step 3: Choose the number closest to half the average. Now that we know that the half of the average value is 252.5, we should choose the number closest to it. The person who picks the number closest to 252.5 wins the prize. If we pick a number less than 252.5, we will not win because someone who chose a number greater than 252.5 will win. If we pick a number greater than 252.5, we will not win because someone who chose a number less than 252.5 will win.So, the number we should pick is 252 or 253. Both numbers are equally close to 252.5. If we want to win, we should choose one of these numbers.

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