A projectile is launched from ground level with an initial velocity of 89 ft/sec. It's height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0. a) Fine the time(s) the projectile will reach a height of 100 feet. b) find the time it takes the projectile to hit the ground

Answers

Answer 1

Answer:

Step-by-step explanation:

Initial Velocity of projection = 89ft/sec

height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0

A) time the projectile will reach a height of 100 ft

s=-16t^2 + v0t

v0 = 89ft/sec

s = 100ft

100 = - 16t² + 89t

-16t² + 89t - 100 = 0

Using the online quadratic equation solver;

t = 4s or t = 1.5625


Related Questions

Michael bought a classic car for $8,500. He restored it then added 150% markup before advertising it for sale. What is the amount of markup? is it 21250? or I'm I wrong thank you

Answers

Answer:

$12750

Step-by-step explanation:

Initial price = $8500

Markup = 150%

Markup amount:

$8500*1.5 = $12750

Selling price would be:

$8500 + $12750 = $21250

If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?

Answers

I could help you if you label which one is the length which one it the width and which one is the height.

If you were 10 years old on
Earth, you would be 41.494 years old
on Mercury. Write the age on Mercury
as a mixed number in simplest form.

Answers

Answer:

[tex]41\frac{247}{500}[/tex]

Step-by-step explanation:

41.494  

= [tex]41\frac{494}{1000}[/tex]

to simplify the fraction 494 /1000, we have to find and divide both numerator and denominator by the their highest common factor

494 = 2 x 13 x 19

1000 = 2 x 2 x 2 x 5 x 5 x 5

comparing the two, we can see that that the only common factor that both numbers share is 2, hence we divide both numerator and denominator by 2

41 494/1000

= [tex]41\frac{494}{1000}[/tex]

= [tex]41\frac{494/2}{1000/2}[/tex]

= [tex]41\frac{247}{500}[/tex]




Find the distance between the two points shown

a.5
b.7
c.21
d.27

Answers

Answer:

B. 7

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached.

From the diagram it can be seen that the line is parallel to the y axis, hence we are going to locate each endpoints on the y axis.

The lower end point is on 2units while the upper end point is on 9 units both on the y axis. The distance between this two points will be the difference between the end point values i.e 9-2 = 7 units.

Hence the distance between the two points shown  is 7 units

15 POINTS

1. name two planes that intersect in WX in the figure to the right

plane UVR and plane XTS
plane UVW and plane UVR
plane UVW and plane XTS
plane VUX and plane VWS

Answers

plane UVW and plane XTS

The U.S. Department of Agriculture reported that out of every milk drinkers drink skim milk. If a storeowner orders gallons of milk, how many should be skim? Round the answer to the nearest gallon. To supply all of the skim milk drinkers, out of the gallons of milk ordered, gallons were skim milk.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is [tex]s = 12 \ gallons[/tex]

Step-by-step explanation:

From the question we are told that

  The  number of milk drinkers considered is  [tex]m = 100[/tex]

   The  number of skim milk drinkers [tex]n = 50[/tex]

     The  gallons of milk supplied is  q =  23 gallons

Generally the proportion of skim milk drinkers is mathematically represented as

    [tex]p = \frac{n}{m}[/tex]

    [tex]p = 0.5[/tex]

Generally the gallons of milk order that is skim milk is mathematically represented as

       [tex]s = 0.5 * 23[/tex]

=>     [tex]s = 12 \ gallons[/tex]

A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters.

Answers

Hey there! I'm happy to help!

To find the volume of a cylinder, you multiply the base by the height.

First, we find the base. The base is a circle. To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14). The radius is half the diameter.

6.5/2=3.25

We square this.

3.25²=10.5625

And multiply by 3.14

10.5625(3.14)=33.16625

Now we multiply this by the height.

33.16625(12)=397.995

Therefore, the volume of this silo is 397.995 cubic meters.

Have a wonderful day! :D

Benn Cornell and Tom Ingulli drove to Chicago a distance of 510 miles, their car gets 23 miles per gallon of gasoline. gasoline costs them $2.59 per gallon. how much did they spend for gasoline on there trip?

Answers

Answer:

about $57.42

Step-by-step explanation:

we know how many miles they drove in all (510) and how many miles they can drive per gallon (23)

we need to find out how many gallons of gas they used by dividing the total number of miles they drove (510) by the number of miles per gallon (23) which is about 22.17

510 ÷ 23 = 22.17

we then need to find out how much money they spent on the total number of gallons of gas they purchased by multiplying 22.17 by the amount of money for one gallon of gas ($2.59)

22.17 × 2.59 = $57.42

What is the base 2 equivalent of 6010? * 111101 base 2 111100 base 2 110000 base 2 110100 base 2

Answers

Answer:

111100 base 2

Step-by-step explanation:

The conversion of 60 base 10 to base 2

When converting a number from base 10 to base 2, the following steps are taken:

a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.

b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.

60 base 10 to base 2

60 ÷ 2       =       30  remainder  0

30 ÷ 2       =        15 remainder   0

15 ÷ 2       =         7   remainder   1

7 ÷ 2        =          3  remainder   1

3 ÷ 2        =          1   remainder   1

1 ÷ 2         =          0  remainder   1

The remainder from bottom to top is 111100 base 2.

(60)₁₀ = (111100)₂

all real numbers at least -5 and at most 9

Answers

This is false, because every positive and negative number is real.

Zx and Zy are supplementary angles. Zy measures 116º.
What is the measure of Z?

Answers

I think 64 but I’m not sure

please help me
sec theta - cos theta= sin^2 theta/ cos theta​

Answers

Answer:

Taking LHS

=1 by cos theta- cos theta

= (1- cos²0)/ cos0

= sin²0/ cos0 ( because 1-cos²0 is also equals to sin²0)

=RHS hence proved

Answer:

Step-by-step explanation:

Let theta be β.

So,

[tex]sec\beta - cos\beta = \frac{sin^2\beta }{cos\beta } \\=>\frac{1}{cos\beta } - cos\beta = \frac{1 - cos^2\beta }{cos\beta } \\=>\frac{1 - cos^2}{cos\beta } = \frac{1 - cos^2\beta }{cos\beta }[/tex]

Here , identity used = [tex]sin^2\beta + cos^2\beta = 1[/tex]

can someone help me with this?​

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ The pattern is y ÷ 8. (So just divided by 8 each time.)

  ✧ 512 ÷ 8 = 64

  ✧ 64 ÷ 8 = 8

  ✧ 8 ÷ 8 = 1

  ✧ 1 ÷ 8 = 0.125

  ✧ 0.125 ÷ 8 = 0.015625

✦ So then the next values would be:  

  ✧ 8⁰ = 1

  ✧ 8⁻¹ = 0.125

  ✧ 8⁻² = 0.015625

~Hope this helps Mate. If you need anything feel free to message me.

1. Which statement is true?
4.
A. 7.5 is 10 times as much as 750.
A
B. 0.2 is 1/10 of 2
E
C. 65 is 10 times as much as 0.065.
D. 70 is 1/10 of 7,000.

Answers

Answer:

B

Step-by-step explanation:

B is true because 0.2 x 10 = 2

If f(x)=(3+ X) over (X -3) what is f(a+2)

Answers

Answer:

5+a/a-1

Step-by-step explanation:

3+a+2/a+2-3=5+a/a-1

The following are molecular formulas. Which formula represents an alkene? Decane (C10H22) Butane (C4H10) Ethane (C2H6) Propene (C3H)​

Answers

Answer: Propene (C3H6)

Step-by-step explanation: Using the formula CnH2n to solve for Alkenes, propane is the only molecule that has an alkene, with twice as many hydrogen and carbon Atoms

The Alkene is the propene having Molecular formula [tex]C_3H_6[/tex].

What is Alkene?

Alkenes are acyclic (branched or unbranched) hydrocarbons having one carbon-to-carbon double bond (C=C) and the general molecular formula CnH2n

Given:

For First, Carbon have 10 molecules then alkene have 2(10) = 20 Hydrogen.

So, (C10H22) is an Alkane.

Second, Carbon have 4 molecules then alkene have 2(4) = 8 Hydrogen.

So, (C4H10) is an Alkane.

Third, Carbon have 2 molecules then alkene have 2(2) = 4 Hydrogen.

So, (C2H6) is an Alkane.

Fourth, Carbon have 3 molecules then alkene have 2(3) = 6 Hydrogen.

So, (C3H6) is an Alkene.

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What point on the number line below represents the opposite of -4

Answers

X is the opposite of -4

2x² - (5 + 2x) + 6x²

Answers

Answer:

8x²-2x-5

Step-by-step explanation:

2x²-(5+2x)+6x²

2x²-5-2x+6x²

2x²+6x²-2x-5

8x²-2x-5

Hope this helps ;) ❤❤❤

Answer:

[tex]8 {x}^{2} - 2x - 5[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - (5 + 2x) + 6 {x}^{2} [/tex]

[tex]2 {x}^{2} - 5 - 2x + 6 {x}^{2} [/tex]

[tex]8 {x}^{2} - 2x - 5[/tex]

Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{y = -7/2x + 4}[/tex]

Given equation:

y = 2/7x - 5

A perpendicular line will have a slope that is the opposite reciprocal, therefore:

2/7 --> -7/2

Substitute the x and y coordinates of the point given to write an equation in slope-intercept form:

(-3) = -7/2(2) + b

Simplify:

-3 = -7 + b

-3 + 7 = b

b = 4

Rewrite the equation:

y = -7/2x + 4

a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___, ...

Answers

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , [tex]n^{th}[/tex] number in A.P is given by :

[tex]a_n=a+(n-1)d[/tex]

Putting value of n = 2 , 3 , 4 .

We get :

[tex]a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415[/tex]

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management would like to better understand the variable and fixed portions of it car washing costs. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management believes that the variable portion of its car washing costs relates to the number of rental returns. Accordingly, the following data have been compiled:
Month Rental Returns Car Wash Costs
January 2,300 $ 10,200
February 2,500 $ 12,700
March 2,700 $ 11,000
April 2,900 $ 13,100
May 3,600 $ 15,400
June 4,900 $ 21,700
July 5,400 $ 21,400
August 5,300 $ 20,200
September 4,600 $ 22,000
October 3,800 $ 18,700
November 2,100 $ 9,900
December 2,500 $ 11,400
2. Using least-squares regression, estimate the variable cost per rental return and the monthly fixed cost incurred to wash cars. What is the R2 rounded to the nearest whole percentage? (Round Fixed cost to the nearest whole dollar amount and the Variable cost per unit to 2 decimal places.)

Answers

Answer:

Variable cost $3.79 ; fixed cost = $2185.47

Step-by-step explanation:

Given the data :

Rental return(x) :

2300

2500

2700

2900

3600

4900

5400

5300

4600

3800

2100

2500

Car wash cost :

10200

12700

11000

13100

15400

21700

21400

20200

22000

18700

9900

11400

Using the online regression calculator :

The obtained regression equation is :

ŷ = 3.79X + 2185.47

Comparing the obtained result with the general form of the equation:

y = mx + c

Where m = gradient or slope whose value gives the variation in cost per rental return (x)

c = intercept, which is constant or fixed, it is the value where the regression line crosses the y axis, hence, it corresponds to the fixed cost.

Hence,

The variable cost per rental return(m)

mx = 3.79x

m = $3.79

The fixed cost :

c = $2185.47

For every 8 boys signed up for intramural basketball, there are 6 girls. If there are 48 boys signed up to play intramural basketball, how many girls are signed up? 30 girls 33 girls 36 girls 42 girls

Answers

Answer:

36 girls signed up

Step-by-step explanation:

1. Create a ratio for boys to girls: 8:6

2. Multiply 8 * 6 to get 48 (amount of boys who signed up.)

Whatever we do one on side we do to the other, so multiply the girls by 6.

6 * 6 = 36

48:36 = 8:6

these ratios are proportional

Pls answer the question I need it asap I'm literally crying

Answers

You do 32 quarters which is eight dollars we need eight dimes
8 dimes. because 80 cents is 8 dimes


Express each rational number in decimal form
17)
[tex] - \frac{7}{4} [/tex]

Answers

Answer:

It is a negative 1.75. (-1.75)

I need help with this pls ASAP

Answers

Answer: G.

Step-by-step explanation: you should divide both sides by 3. 3 divided by 3 is 0, and -12 divided by 3 is -4. therefore, your answer is (0,-4)

Answer: G (0,-4)

Step-by-step explanation:

You can use this website called "Desmos Graphing Calculator." The answer is G.(0,-4). It helps me a lot with graphing and graphing linear equations.

A rectangle has a length of 12 yards less than 10 times it’s width. If the area of the rectangle is 880 yards

Answers

Answer: The length is 88 yards  and the width is 10 yards. Look into the steps for more information.

Step-by-step explanation:

The length is 12 yards less than 10 times the width so we can represent that by the equation  L = 10w - 12  

And the area is 880  so the width times the length has to equal 880. the width is w and the length is 10w -12

w( 10w -12 ) = 880   solve for w

10w^2 - 12w  = 880    subtract 880 from both sides

              -880   -880

10w^2 - 12w - 880 = 0     They share the same factors so dive each side by 2

5w^2 - 6w^2 - 440 = 0  

a= 5     b = -6  and c=-440

The quadratic formula says that x= -b ± [tex]\sqrt{b^2- 4ac} / 2a[/tex]  

   x= 6 ±[tex]\sqrt{8836} / 5[/tex]  

x= 6 ± 94  /10

x= 100 /10

x = 10  

In this case the width is 10 yards.

The length is 12 less than 10 times the width .

So   L  = 10(10) - 12

   L =  100- 12

  l = 88  

So the length is 88

The required length and width are 229 and 27 yards.

It is required to find the dimension of rectangle.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A=l*w

w=width

10w-12=length

According to given question we have,

6183=(10w-12)(w)

6183=10[tex]w^{2}[/tex]-14w

9[tex]w^{2}[/tex]-14w-6183=0

By simplify we get,

(9w+229)(w-27)=0

w-27=0

w=27 yards

l=9*27-14=229 yards

Therefore, the required length and width are 229 and 27 yards.

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The graph of the line 4x+3y= 12 is translated right 1 unit and down 3 units. What is the equation of the new line?

Answers

Answer: y = 7/3 - (4/3)*x

Step-by-step explanation:

First, let's write our line in the notation:

y = f(x)

So we must isolate y in the equation:

4x + 3y = 12

3y = 12 - 4x

y = 12/3 - (4/3)*x = 4 - (4/3)*x

Now, we have two translations, one horizontal and one vertical.

Let's define them in general cases:

Horizontal translation.

When we have y = f(x) and we want to do a horizontal translation of A units to the right (A positive) we have:

y = g(x) = f(x - A)

So we replace our variable x by x - A.

Vertical translation.

When we have y = f(x) and we want to do a horizontal translation of A units up (A positive) we have:

y = g(x) = f(x) + A.

Then in this case we have:

y = f(x) = 4 - (4/3)*x

then, the horizontal translation of 1 unit to the right is:

y = f(x - 1) = 4 - (4/3)*(x - 1)

And the translation of 3 units down (a vertical translation) is:

y = f(x - 1) - 3 = 4 - (4/3)*(x - 1) - 3  = 1 + 4/3 - (4/3)*x

y = 7/3 - (4/3)*x

This equation represents the new line.

The sum of five and triple a number what is it please

Answers

Answer:

5 + 3a

Step-by-step explanation:

The expression is:

5 + 3a

You start at (7, 1). You move right 3 units.

Answers

Answer:

4,1

Step-by-step explanation:

Newton's Second Law states acceleration equals force
divided by mass, a = F/M. This graph shows f(x) = 5/x , an
acceleration based on a constant force of 5 Newtons
applied to different objects. How is f(x) transformed to
get g(x) and what is the new equation?

Answers

Answer:

2f(x); g(x) = 10/x

Step-by-step explanation:

The second option on edge

The new equation is, g(x) =2f(x), g(x) =10/x. Option B is correct.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Given data in problem is;

a = F/M

f(x) = 5/x

We have to examine each option given and observe the graph for the function we got;

g(x) = 2f(x)

Substitute the values we get;

g(x) =  2×(5/x)

g(x)=10/x

The new equation is, g(x) =2f(x), g(x) =10/x.

Hence, option B is correct.

The complete question and graph are attached below.

To learn more about the graph, refer to the link;

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