An arrow is shot vertically upward at a rate of 160 feet per second from ground level. Use the projectile formula
h
=

16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 114 feet.

Answers

Answer 1

Answer:

  0.772 seconds; 9.228 seconds

Step-by-step explanation:

The given projectile formula with the given numbers filled in is ...

  [tex]\displaystyle h=-16t^2+v_0t+h_0\\\\114=-16t^2+160t[/tex]

We can "complete the square" to solve this for t, the times at which the height is 114 feet.

  16(t² -10t) = -16(7.125) . . . . . rearrange, showing factor of 16

  t² -10t +25 = -7.125 +25 . . . . divide by 16, add 25 to complete the square

  t = 5 ±√17.875 ≈ 5 ± 4.228 . . . . take the square root, add 5

  t ∈ {0.772, 9.228}

The arrow is 114 feet high after 0.772 seconds and again after 9.228 seconds.

An Arrow Is Shot Vertically Upward At A Rate Of 160 Feet Per Second From Ground Level. Use The Projectile

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true or false? criminal cases cannot be brought before a jury trial

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Answer:

Step-by-step explanation:

True

What is the mean (average) of
a, a, b, b, b,c

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Answer:

Ans might be a+b+c

Step-by-step explanation:

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Order the numbers from least to greatest. −34, 0.5, 23,−73, 1.2 The order of the numbers from least to greatest

Answers

Answer:

-73, -34, 0.5, 1.2, 23

Step-by-step explanation:

Hope this helps:)....if not sorry for wasting your time and may God bless you:)

-73, -34, 0.5, 1.2, 23

What is the answer for this 4² × 4²

Answers

Answer:

4squared is 16 so 16×16=256

hope it help

Answer:

4^2=16 multiplyin 16 by 16 gets you 256

Step-by-step explanation:

Write the first three terms of the sequence whose general term is an=(3n)!.

Answers

Answer:

3, 6, 9

Step-by-step explanation:

an=3n

a(1)=3(1)= 3

a(2)=3(2)= 6

a(3)=3(3)= 9

Use the Virtual Dice Roller and roll two dice three times (or grab a pair of dice at home!).

Record the sum of the two dice for each virtual roll.

The first virtual roll is how many work shirts you have in your closet.
The second roll is how many pairs of work pants you have in your closet.
The third roll is how many pairs of work shoes you have in your closet.
Calculate and explain how many different ways can you dress every morning. Show all calculations.

Answers

The simulation of the virtual dice roller illustrates combination and sample space

There are 36 different ways you can dress every morning

How to determine the number of ways of dressing?

The sample space of the two dice are:

Die 1 = {1,2,3,4,5,6}

Die 2 = {1,2,3,4,5,6}

From the above sample space, we have the sample size to be:

n(Die 1) = 6

n(Die 2) = 6

The sample size of the experiment would be:

n = n(Die 1) * n(Die 1)

Substitute known values

n = 6 * 6

Evaluate the product

n = 36

The above represents the different ways you can dress every morning.

Hence, there are 36 different ways you can dress every morning

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Find the product of 4+3i and its conjugate.the answer is a +bi where

Answers

The value of  a and b in the product of 4+3i  and its conjugate in the format a + bi are 25 and 0.

What is conjugate?

The conjugate is where we change the sign in the middle of two terms. For example:

3y + 1

conjugate of 3y + 1 is 3y - 1.

Therefore, the conjugate of 4 + 3i is 4 - 3i.

The product of 4 + 3i and its conjugate is as follows:

(4 + 3i)(4 - 3i) = 16 - 12i + 12i - 9(i)²

Therefore,

16 - 9i²

i² = -1

Hence,

16 - 9(-1) = 25

It can be written in the form a complex form → (25 + 0.i)

Therefore, a = 25 and b = 0.

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Explain how using a line plot will help you to collect data

Answers

Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

and please dont forgets to markas BRAINLIEST answer please

-2x+ 3y=-15 3x+2y = -23 solve by elimination

Answers

Answer:

x=237/7 and y=-199/7

Explanation:

Multiply the second equation by 2, then add the equations together.

(−2x+3y=−153)

2(x+2y=−23)

Becomes:

−2x+3y=−153

2x+4y=−46

Add these equations to eliminate x:

7y=−199

Then solve 7y=−199 for y:

7y=−199

(Divide both sides by 7)

y=−199/7

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−2x+3y=−153

Substitute −199/7 for y in−2x+3y=−153:

Add 597/7 to both sides

Divide both sides by -2

Applying probability concepts

Answers

Answer:

See below ↓

Step-by-step explanation:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is trueProbability can range in from 0 to 1The probability Choosing a card from the deck of card

Applications

Flipping a coinThrowing a dice in the airPulling a red ball out of a bucket of red and white ballsWinning a lucky drawOf all the events in a sample space adds up to 1

how many integers from 100 to 999, inclusive, don't include the numbers 2,4,6,8? PLS HELP I WILL MARK BRAINLIEST

Answers

Answer:

243

Step-by-step explanation:

999-100= 899 integers

200s 400s 600s 800s excluded so 400 numbers excluded

899 - 400 = 499

20s 40s 60s 80s which are 40 integers x 4 = 160

499 - 160 = 339

2s 4s 6s 8s which are 4 integers x 6 x 4 ( 4 from each 100 ) = 96

339 - 96 = 243 integers

A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.

Please provide an expression, not just the surface area please :)

Answers

Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2[/tex]

Which field is required when importing vendors

Answers

Import field: Tax Identification Number, Tax Number for Customers or Vendors. Tax Identification Number (customers) or Tax ID Number (vendors).

Shawn is typing paper for a class. He can type 1 6/11 pages in 1/3 of an hour. How many pages can shawn type in in one hour

Answers

Answer:

4 7/11

Step-by-step explanation:

1 6/11 * 3 = 3 18/11 = 4 7/11

13, 19, 25, ...
Find the 48th term.

Answers

Answer:

so you should add 6 to 13 in case to find 19, then add 6 to 19 to get to 25.

so the first is 13 and we keep adding 6 to get to the answer. we do it 47 times. so we have 13+ (6) (47) = 295 which is the 48th term.

The 12th term of the arithmetic sequence13, 19, 25,... is 79.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, an arithmetic sequence 13, 19, 25,...

The first term a₁ = 13 and the common difference is = (25 - 19) = (19 - 13) = 6.

We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1).d.

∴ The 12th term of this arithmetic sequence is a₁₂ = a₁ + (12 - 1).d

a₁₂ = 13 + (12 - 1).6.

a₁₂ = 13 + 11.6

a₁₂ = 13 + 66.

a₁₂ = 79.

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linear exponential function

y=5.3×​

Answers

Answer:

y=5x

which means 3 will be dedicated to 5

so 5=3y

please Show the algebraic work steps thank you

Answers

Answer:

-0.125

Step-by-step explanation:

Shown in the image above

The area of the figure below

Answers

Answer:

32 square milimeters

Step-by-step explanation:

3/4 of 24= 18    (rectangle 8X3)

4x2=8     (rectangle 4x2)

half of 12 =6       (rectangle  4x3)

   18+8+6 =32

Julie's grades for this term test are 85' 88' and 97. In addition for the three tests that Julie already had, there will b just one more test. Julie needs to earn at least ________ point for the last test to get no less than A for the term. "A" means the average of 93 or more.

Answers

The score Julia has to have on her last test to have an A for the term is 102.

What is the least score?

The first step is to determine the sum of her scores on the first three tests: 85 + 88 + 97 = 270

Now determine the score on the last test that would give an average of 93

(270 + x)/ 4 = 93

270 + x = 93 x 4

372 - 270 = x

x = 102

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Ryan buys some jumpers to sell on a stall.
He spends £130 buying 40 jumpers.
He sells 80% of the jumpers for £12 each.
He then puts the rest of the jumpers on a Buy one get one half price offer.
He manages to sell half the remaining jumpers using this offer.
How much profit does Ryan make?

Answers

80% of 40 = 32
32*£12 = £384
40-32=8
4*12=£48
4*6=£24
384+48+24=£456

456-130= £326 profit

-3(10)
Simplify
[Multiplication with integers]​

Answers

Answer:

[tex]\boxed{\sf{-30}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is solve by order of operations.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

-3(10)

First, remove parenthesis.

Multiply.

-3*10

Solve.

[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]

-30

Therefore, the correct answer is -30.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-30

Step-by-step explanation:

it is adding 10 three times, but then you add the negative after

so it is 10+10+10 because you are multiplying it by 3

you could also add 3 ten times because the communitive property

so 3+3+3+3+3+3+3+3+3+3

you would do the same whether the -3 was in parentheses or not

Help picture below problem 11

Answers

Answer:

48

Step-by-step explanation:

vertical angles are equal

Answer:

48

Step-by-step explanation:

This is because vertical angles (which is opposite of each other when the two lines cross) are congruent, meaning they have the same angles.

I need help with this question please

Answers

[tex]v(y) = 0[/tex]

[tex] - 32t + 105 = 0[/tex]

[tex]t = \frac{ - 105}{ - 32} = 3.28[/tex]

[tex]h = - 16(3.28) {}^{2} + 105(3.28) + 17[/tex]

[tex]h = 189.26[/tex]

The dotted lines show how piano wire
is used to slice this cube. What will be
the shape of the cross section?

Answers

Answer:

C. rectangle (not a square)

Step-by-step explanation:

So image that the wire just sliced that piece of the cube right off:

It would give you a triangular prism,

HOWEVER, this is asking for the cross section:

The part of this triangular prism that was actually connected to the cube

and in this case, it would show that the bottom of the cut off part is rectangle.

You can also think of this as: What shape would be left over on the cube?

Cutting this piece off would give you a shape left over that is a rectangle.

Make x the subject of the formula
y = x^2

Answers

Answer:

[tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle \large{y=x^2}[/tex]

Make ‘x’ the subject of the formula by square root both sides:

[tex]\displaystyle \large{\sqrt{y}=\sqrt{x^2}}[/tex]

Cancel the square root and square in RHS and write plus-minus in LHS:

[tex]\displaystyle \large{\pm \sqrt{y}= x}\\\displaystyle \large{x=\pm \sqrt{y}}[/tex]

Therefore, the solution is [tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]

__________________________________________________________

Summary

To make a variable as the subject of equation means to isolate that variable. For an example, if you want to make y as the subject, you’ll have to isolate y-term.

You may also be curious why do you have to add plus-minus on another side when cancelling [tex]\displaystyle \large{\sqrt{x^2}}[/tex] because [tex]\displaystyle \large{\sqrt{x^2}=|x|}[/tex] and [tex]\displaystyle \large{|x|}[/tex] for their positive and their counterparts (opposite/negative) will always give same y-value.

From an example:

[tex]\displaystyle \large{\sqrt{x^2}=4}[/tex] can be rewritten as [tex]\displaystyle \large{|x|=4}[/tex], cancel absolute sign/square root then write plus-minus which the solution is [tex]\displaystyle \large{x=\pm 4}[/tex] and if you substitute x = 4 or -4, the equation will be true for both values.

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

What is the average rate of change of the function y = 3 cos x on the interval [π/2, π]?

Answers

Answer:

¹

Step-by-step explanation:

Average Rate of Change is

ts

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

Here b is pi, a is pi/2,

[tex] \cos(\pi) = - 1[/tex]

[tex] \cos( \frac{\pi}{2} ) = 0[/tex]

So we have

[tex] \frac{ - 1 - 0}{ \frac{\pi}{2} } = \frac{ - 1}{ \frac{\pi}{2} } [/tex]

Answer:

-2/pi

Step-by-step explanation:

Find the x- and y-intercepts of the quadratic function below. Give non-integer
coordinates in fractional form.
f(x) = 2x2 - 5x + 3
-

Answers

Answer:

Step-by-step explanation:

The 92 children who were asked when they took their first lesson

Answers

Answer:

I need more to solve!!

Have an amazing day!!

Drag each expression to its equivalent.

Answers

Answer:

5x+4=2x+3-x+1+4x

7x=3+2x+4+5x-7

2x+3=8+10x-8x-5

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

These are the equivalent expressions.

What is an expression?

It is a sentence with a minimum of two numbers or variables and at least one math operation.

Given expression can be solved like:

1. 2x+3-x+1+4x = 5x+4

Which is same as the first option.

2. 7x-5-2x+9 = 5x +4

Which is same as the first option.

3. 8+10x-8x-5 = 2x+3

Which is same as the third option.

4. 3+2x+4+5x-7 = 7x

Which is same as the second option.

5. x-1+2x+2+4x-1 = 7x

Which is same as the second option.  

6. 4x+6-2x-3=2x+3

Which is same as the third option.

Hence, the equivalent options are :

2x+3-x+1+4x = 5x+4  and 7x-5-2x+9 = 5x +4

3+2x+4+5x-7 = 7x and  x-1+2x+2+4x-1 = 7x

3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3

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Find the distance between FD
F=(4,6) D=(0,-1)

Answers

Answer:

Final answer -

[tex]d(FD) = \sqrt{65 } \: units[/tex]

hope helpful :D

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