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An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation:
f(t) = -16t² + 80t
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.​

Answer:

its 2.5 liters of olive oil because .5 times 5 equals 2.5 needed to satisfy ratio.

Answer:

Spanish:

Los diferentes métodos de integración incluyen:

Integración por sustitución.

Integración por partes.

Integración mediante identidades trigonométricas.

Integración de alguna función particular.

Integración por fracción parcial

Step-by-step explanation:

English:

The different methods of integration include:

Integration by Substitution.

Integration by Parts.

Integration Using Trigonometric Identities.

Integration of Some particular function.

Integration by Partial Fraction.

Answer:

55

Step-by-step explanation:

the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 5y² + 4x

To calculate the value of expression at x = 2.5 and y = 3

Substitute the value of x and y in the expression:

=> 5y² + 4x

=> 5* 9 + 4 * 2.5

=> 45 + 10

=> 55

therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.

Learn more about expression here:

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Answer:

75 > x/15

Step-by-step explanation:

Step 1: Mulitply the 15 on both sides in order to get the x by it self.

Step 2: Simplify. 75 x (15) >x/15 x (15)

Step 3: The 15 on the right hand side cancels out leaving the x by itself.

Final Answr: 1125 > x which translates to x < 1125

 The solution to the inequality is: A) (x > 1125)

To solve the inequality 75 > x/15, we need to find the range of values for x that satisfy the inequality.

First, we can start by isolating x on one side of the inequality. To do that, we can multiply both sides of the inequality by 15 (since 15 is a positive number, we don't need to reverse the inequality sign):

75 * 15 > x

Now, simplify the left side of the inequality:

1125 > x

So, the solution to the inequality is x < 1125, which means all values of x that are less than 1125 will satisfy the inequality.

Visually, if we plot the graph of y = x/15 and y = 75, we'll see that y = x/15 is a straight line with a positive slope of 1/15 passing through the origin, and y = 75 is a horizontal line parallel to the x-axis at the y-coordinate of 75. The solution to the inequality is the region below the line y = 75, which corresponds to the values of x that are less than 1125.

In real-world terms, this inequality represents a scenario where 75 is greater than some fraction of x divided by 15. To satisfy the inequality, x must be less than 1125. For example, if x represents the number of items sold in a store, this inequality would indicate that the store must sell fewer than 1125 items to meet the condition. The store's sales would need to be less than 1125 * 15 = 16,875 to maintain the inequality's validity. Beyond this point, if the store sells more items, the inequality would no longer hold true.

To know more about inequality:

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Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

[tex](9x+6)+(74)+(16x)=180\\[/tex]

Let’s solve for x:

Combine LIke Terms:

[tex](9x+16x)+(74+6)=180[/tex]

Add:

[tex]25x+80=180[/tex]

Subtract 80 from both sides:

[tex]25x=100[/tex]

Divide both sides by 25:

[tex]x=4[/tex]

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

[tex]\angle A=9x+6[/tex]

Substitute 4 for x and evaluate:

[tex]\angle A=9(4)+6=36+6=42\textdegree[/tex]

Hence, our answer is D.

Answer:

x = 7

y = 10

Step-by-step explanation:

<K and <NLK are marked as being equal.

That means that KN and LN are equal.

So LN = 6

y - 4 = 6

y = 4 + 6 = 10

For the same reason LN = LM

That means that x + 3 = 10

x = 10 - 3

x = 7

Answer:

C is the right answer

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Given that:

Number of granola bars = 96

Number of popcorn balls = 64

Greatest number of party favors that can be made from granola bars and popcorn balls ;

Obtain the greatest common factor of both 96 and 64

Factors of :

96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

64 : 2, 4, 8, 16,32

greatest common factor is 32,

Hence, greatest number of party favors that can be made is 32

Answer:

12, 43/63

Step-by-step explanation:

Answer: 12 43/63

Step-by-step explanation: it was correct on my test

Answer:

17 and 19

Step-by-step explanation:

n= lesser integer       n+2= greater integer

2(n+2) = 3n -13

2n +4  = 3n-13

n= 17

lesser number =17

The other greater  number = 19 (they are odd,so skipping 18)

19 x 2 = 38

17x3 - 13 =51-13 = 38

Answer:

A. 2000 square inches

B. 53.1 square inches

Answer:

5

Step-by-step explanation: I used a calculator

Answer:

The correct answer is option 2: -1

Step-by-step explanation:

In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.

Given function is:

[tex]x^3+x^2+x+1[/tex]

Putting x=1

[tex]=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4[/tex]

1 is not zero of the function.

Putting x = -1

[tex]=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0[/tex]

-1 is zero of the given function.

Hence,

The correct answer is option 2: -1

Answer:

2.5

Step-by-step explanation:

2500 ÷ 1000

*Sorry if this is wrong*

We must use slope formula* to solve this.

[tex]\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}[/tex]

m** = [tex]-\frac{1}{3}[/tex]

*Slope Formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

**m is the symbol for slope.

Answer:

its-5.5°C

explanation

combine it

Answer:

the answer is br-br

Step-by-step explanation:

that is answer bro

Answer:

2y = x - 3

Step-by-step explanation:

Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.

Given the following data;

Points (x, y) = (3, 0)

Equation is 8x - 16y = -14

To find the equation of the line?

First of all, we would have to determine the slope of the line;

y = mx + c ......equation 1

8x - 16y = -14

Rearranging the equation, we have

16y = 8x + 14

Dividing through by 16, we have;

y = 8/16(x) + 14/16

y = 1/2(x) + 7/8

Therefore, the slope, m is 1/2

*To find the intercept*

Since the line is parallel we would use, m = 1/2

Substituting the values into equation 1, we have;

y = mx + c for x = 3 and y = 0

0 = 1/2(3) + c

c = -3/2

Re-writing the equation of line;

Slope, m = 1/2

Intercept, c = -3/2

y = 1/2(x) + (-3/2)

Multiplying all through by the lowest common denominator "2"

2y = x - 3

Answer:

i dont have the answers i just wanted to say happy b day

Step-by-step explanation:

Answer:

500-10x=250

x=how much the bird descended in a second

the bird will land on the ground in another 10 seconds.

Step-by-step explanation:

the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.

Answer:

a) [tex]h(t)=500-25t[/tex]

b) [tex]t=20[/tex]

Step-by-step explanation:

a)

Let [tex]h[/tex] = height above ground

Let [tex]t[/tex] = time

Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.

∴   [tex]h(t) = 500-25t[/tex]

b)

To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:

[tex]0=500-25t[/tex]

[tex]25t=500[/tex]

[tex]t=20[/tex]

∴ It takes 20 seconds for the bird to reach the ground.

Answer:

y = 29 degrees

Step-by-step explanation:

5y + 35 = 180

5y = 145

y = 29

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer: 46 mph

Step-by-step explanation: 15*4=60 so 12*4=46

I hope this helps!

Answer:

it takes 24 days

Answer:

There are 8 girls.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

20 divided by 5 = 4.

4x2=8

Answer:

Since that is a right angle it is going to equal 90 degrees. Since you know that the first angle is 67 degrees subtract 67 from 90 and get 23 degrees.

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]

Subtract like terms : 6y from 4y

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]

Subtract 3 from 10

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]

Move 2y to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]

Move 9 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]

Add the numbers : 7 and 9

[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]

Divide both sides by -4

[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]

Remember : Dividing a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]

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Let's check whether the value of y is -4 or not.

L.H.S : [tex] \sf{4y - 9 - 6y}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

∴ L.H.S = R.H.S

The value of y is -4

And we're done!

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Hope I helped!

Best regards! :D

~TheAnimeGirl