An arrow is shot vertically upward from a platform 25ft high at a rate of 172⁢ft/sec. When will the arrow hit the ground?

Answers

Answer 1

Hello,

h= -16t^2+185t+10, h = 0 when it hits the ground
16t^2+185t+10 = 0
t = 11.6sec (to nearest tenth)

Hope this helps

Related Questions

What is the reciprocal of 6 4/5?

A.) 5/34

B.) 29/5

C.) 34/5

D.) 15/5

Answers

Answer:

Step-by-step explanation:

The denominator in the original question is 5.

Therefore the answer must have 5 in the numerator. The answer can only be A.

6 4/5 = (30 + 4) / 5 = 34/5 This is the original fraction. The upside down of the original fraction is the reciprocal. Upside down of 34/5 is 5/34. You can come to this conclusion by doing this.

The formal definition of a reciprocal is 1/a where a is a fraction.

In this case a = 34/5. The reciprocal is 1/a = 1 // 34/5. You don't change anything by making it 1/1 // 34/5

1/1 // (34/5) Invert and multiply the bottom.

1/1 * 5/34 = 5/34

Justin is going on a 2000 kilometer road trip with two friends. The car consumes 6 liters of gas for every 100 kilometers and gas costs $1.20 per liter. If Justin and his two friends want to spilt it evenly, how much should each pay and how many liters of gas do they need

Answers

2000 / 100 = 20

20 * 6 = 120 liters total gas

120 * 1.20 = $144 total for gas

144 / 3 = $48 each

In Ms. Hendricks class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.

Answers

The ratios is 10:12 and if you were to write it in a fraction you get 10/12 which is simplified as 5/6

The ratios is 10:12 and if you were to write it in a fraction you get 10/12 which is simplified as 5/6 hope this helped

A seamstress has one-fourth of a foot of thread. Then she uses one-fifth of a foot of thread to sew a hole. How much of the thread is left?

Answers

1/4 - 1/5 =
first make a common denominator
5/20 - 4/20 = 1/20

If a truck hauls 5 loads per week how many loads would it haul in a 1 year period

Answers

1 year = 52 weeks

52 * 5 = 260 loads

Bottles of water sell for $1.50 each. Graph the relationship between the number of bottles of water sold and the total cost.

Answers

draw a graph with number of bottles on the x axis ( and number it 1 through 10 )

put price on the y axis and label it in increments of $1.50 ( 1.50, 3.00 , 4.50, 6.00, etc.

Then put dots on the intersection of price with the number of bottles and then draw a straight line through the dots.

for every 1 bottle of water sold the price increases by 1.50

so at x 1 y = 1.50

at x 2 y = 3.00

at x 3 y = 4.50

and so on

NEED HELP !!!!!

put a check mark for the correct term (rational irrational )

61 pie
42
75.671523
101
6/5

Answers

61 pie (please spell this "pi," not "pie.") pi is irrational, so 61 pi is also irrational.

42 R

75.671523 If the fraction stops here (i. e., does not repeat), then this is R.

101 same as 101/1. R
6/5 this is the ratio of 2 integers. R

Pedro deposited $35 then withdrew $50 show number line graph

Answers

If you deposit $35, you can imagine drawing a green line (representing the money gained) to the 35 on the number line, which can be seen as moving 35 to the right. Fo withdrawing, imagine drawing a red line back 50 notches on the number line (representing money lost). The net effect that the deposit and withdrawal will have on your account balance is a [tex]35-50=-15[/tex] dollar loss, which can be represented on the number line as a line drawn to the point -15.

jerome burned 75 calories in 15 minutes on a stationary bicycle. how many calories will he burn in 25 minutes?

Answers

75 / 15 = x / 25
15x = 1875
x = 125

Jerome will burn 125 calories in 25 minutes.

75 / 15 = 5

5 x 25 = 125

Jerome will burn 125 calories

Write an equation of four lines that intersect to form the sides of a parallelogram

Answers

To write equations for four lines forming a parallelogram, we use the slope-intercept form ensuring two sets of parallel lines. Opposite lines have equal slopes and by manipulating the y-intercepts, we ensure they intersect appropriately to form a parallelogram.

Writing an equation for four lines that intersect to form the sides of a parallelogram involves ensuring that opposite sides are parallel and equal in length. One straightforward approach is to use the slope-intercept form of a line, y = mx + b, to define the lines.

Let's start by defining two lines with slopes 'm' and 'm' (since opposite sides of a parallelogram are parallel) and two lines with slopes '-1/m' to ensure they are also parallel to each other but perpendicular to the first set of lines. If we assume lines have y-intercepts at 'b' and '-b' respectively (to ensure symmetry and simplify calculations), our equations would be:

y = mx + b (Line 1)y = mx - b (Line 2) - Parallel to Line 1y = (-1/m)x + k (Line 3) - Perpendicular to Line 1y = (-1/m)x + l (Line 4) - Parallel to Line 3

Here, m represents the slope of the first set of parallel lines, b represents the y-intercept of line 1, -b represents the y-intercept of line 2, and k and l are the y-intercepts of lines 3 and 4. By adjusting 'b', 'k', and 'l' we ensure the lines intersect to form a parallelogram.

These lines will form a parallelogram as long as 'k' and 'l' are chosen such that the distances between the y-intercepts of lines 1 and 2, and lines 3 and 4, are equal, satisfying the condition for parallel lines in a parallelogram. This way, we can visually imagine or draw a parallelogram with these four lines as its sides.

what is the cost of painting the walls and ceiling of a room with walls 30 foot by 25 foot by 1st foot with paint that covers at $9.50 per square yard, allowing for 1275 square feet for doors, windows, and baseboards?

Answers

what I can make out is, check the picture, that'd be the dimensions of the room.

therefore, the surface area of that room is

2 10x25 rectangles, front and back

2 30x10 rectangles, left and right

and 2 25x30 rectangles, top and bottom

so the area will be (2*10*25) + (2*30*10) + (2*25*30), which gives us 2600 square feet though, not yards.

let's add the doors, windows and others which is 1275, so 2600 + 1275, that gives us 3875 square feet.

now, the paint is 9.5 for square yard, no feet, so let's do some conversion then,

[tex]\bf \begin{array}{ll} yards&feet\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1yd&3ft\\ (1yd)^2&(3ft)^2\\ yd^2&3^2ft^2\\ &9ft^2 \end{array}[/tex]

so, if there are 9 square feet in one square yard, how many square yards are there in 3875 square feet?

[tex]\bf \begin{array}{ccll} yd^2&ft^2\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&9\\ x&3875 \end{array}\implies \cfrac{1}{x}=\cfrac{9}{3875}\implies \cfrac{3875}{9}=x[/tex]

that's how many yd² are there in 3875 ft².

now, we know for every yd², is $9.50, so then the cost will be

[tex]\bf 9.5\cdot \cfrac{3875}{9}\implies \cfrac{95}{10}\cdot \cfrac{3875}{9}\implies \cfrac{73625}{18}~~\approx~~ \stackrel{\$}{4090.2778}[/tex]

In a classroom of 32 students 14 are male. What percentage in the class is female

Answers

18 females.
18+14= 32

Well, if the classroom has 32 students in total and 14 of them are male, then that means that 18 are female, and 18 percent of 32 is 56.25%, so that would be 56% of the students in the classroom are female. Hope that helped! :D

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547 (Magoosh website, January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of 100.

. What percentage of GMAT scores are 647 or higher?

15.8

b. What percentage of GMAT scores are 747 or higher (to 1 decimal)?

2.9

c. What percentage of GMAT scores are between 447 and 547 ?

25

d. What percentage of GMAT scores are between 347 and 647 (to 1 decimal)?

Answers

Answer:

16%; 2.5%; 34%; 81.5%

Step-by-step explanation:

Using the empirical rule, we know that 68% of data falls within one standard deviation of the mean; 95% of data falls within two standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.

This means from the mean to 1 standard deviation (σ) above is 34% of data; from the mean to 1 σ below is 34% of data; from 1 σ to 2σ above is 13.5% of data; from 1σ to 2σ below is 13.5% of data; from 2σ to 3σ above is 2.35% of data; from 2σ to 3σ below is 2.35% of data; more than 3σ above is 0.15% of data; and more than 3σ below is 0.15% of data.

647 is 1 σ above the mean. This means that we go from here above;

13.5+2.35+0.15 = 16%

747 is 2σ above the mean. This means that we go from here above:

2.35+0.15 = 2.5%

447 is 1σ below the mean and 547 is the mean. This means that we have 34%.

347 is 2σ below the mean and 647 is 1 above the mean. This means we go from:

13.5+34+34 = 81.5%

Final answer:

To find the percentage of GMAT scores between 347 and 647, find the z-scores and use a z-table to calculate the cumulative area.

Explanation:

To find the percentage of GMAT scores between 347 and 647, we need to find the area under the bell curve between these two scores. First, we need to find the z-scores for both scores using the formula z = (x - μ) / σ. For 347, the z-score is (-200) / 100 = -2, and for 647, the z-score is 100 / 100 = 1.

Next, we need to find the percentage of data between these z-scores. We can use a z-table to find the cumulative area. The cumulative area for -2 is 0.0228 and for 1 is 0.8413.

To find the percentage between these two z-scores, we subtract the cumulative area for -2 from the cumulative area for 1: 0.8413 - 0.0228 = 0.8185.

Therefore, the percentage of GMAT scores between 347 and 647 is 81.85%.

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Qual é a diferença entre a população de Toledo e Umuarama?
Toledo - 119 207
Umuarama - 100 716

Answers

E preciso subtrair.

119207
- 100716
----------------
18491

A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is π/3 , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?

Answers

check the picture below.

notice, the "x" distance, whilst the balloons are moving up up and up, is not changing, thus, is a constant.

[tex]\bf tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{y}{3}\implies tan(\theta )=\cfrac{1}{3}y \\\\\\ \stackrel{chain~rule}{sec^2(\theta )\cfrac{d\theta }{dt}}=\cfrac{1}{3}\cdot \cfrac{dy}{dt}\implies \cfrac{1}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{1}{3}\cdot \cfrac{dy}{dt}[/tex]

[tex]\bf \cfrac{3\cdot \frac{d\theta }{dt}}{cos^2(\theta )}=\cfrac{dy}{dt}\quad \begin{cases} \frac{d\theta }{dt}=0.1\\\\ \theta =\frac{\pi }{3} \end{cases}\implies \cfrac{3\cdot 0.1}{cos^2\left( \frac{\pi }{3} \right)}=\cfrac{dy}{dt}\implies \cfrac{0.3}{\left( \frac{1}{2} \right)^2}=\cfrac{dy}{dt} \\\\\\ \cfrac{0.3}{\frac{1}{4}}=\cfrac{dy}{dt}\implies \stackrel{rad/min}{1.2}=\cfrac{dy}{dt}[/tex]

The observer and the balloon form a right triangle (see attachment).

The balloon is rising at 1.2 rad per min

Using tangent rule, we have:

[tex]\mathbf{tan(\theta) = \frac{y}{x}}[/tex]

Substitute 3 for x

[tex]\mathbf{tan(\theta) = \frac{y}{3}}[/tex]

Differentiate both sides with respect to time (t)

[tex]\mathbf{sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{3} \cdot \frac{dy}{dt}}[/tex]

Make dy/dt, the subject

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\theta) \cdot \frac{d\theta}{dt} }[/tex]

Substitute [tex]\mathbf{\theta = \frac{\pi}{3}\ and\ \frac{d\theta}{dt} = 0.1}[/tex]

So, we have:

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot sec^2(\pi/3) \cdot 0.1 }[/tex]

Using a calculator, we have:

[tex]\mathbf{\frac{dy}{dt} = 3 \cdot 2^2 \cdot 0.1 }[/tex]

Multiply

[tex]\mathbf{\frac{dy}{dt} = 1.2}[/tex]

Hence, the balloon is rising at 1.2 rad per min

Answers

To find the number of passengers for the next year (2002), take the prior value (7.2 million) and multiply it by 1.09. This will give the predicted value for 2002. In this case, it would be (7,200,000 * 1.09 = 7.848 million). This would show that there is a predicted rise of 0.648 million passengers for the year 2002.

Final answer:

To predict the number of cruise passengers in 2002, multiply the growth rate by the previous year's number of passengers and add that to the previous year's total.

Explanation:

To predict the number of cruise passengers in the year 2002, we need to apply the growth rate of 9% to the number of passengers in the previous year (2001).

Therefore, the predicted number of cruise passengers in the year 2002 is

7.848 million

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Find the area of a circle with the diameter of 3 centimeters use. 3.14 for pi

Answers

Given that the area of any circle is πr², and given that r = d/2, we have:

A = π(3/2)², or, using 3.14 for π, A = 3.14(3/2)², which is a fairly straightforward calculation.

Cereal costs $2.79 for 16.4 ounces. At this rate how much does 25 ounces of cereal cost?

Answers

425 sksbsjsnwksnaianueenjwneeidnsinw

f(x)=x g(x)=1 what is the domain of (g/f)(x)

Answers

[tex]\left(\dfrac{g}{f}\right)(x)=\dfrac{g(x)}{f(x)}\\\\\text{We have}\ f(x)=x\ \text{and}\ g(x)=1.\ \text{Substitute}\\\\\left(\dfrac{g}{f}\right)(x)=\dfrac{1}{x}\\\\\text{The domain}:\ x\neq0\\\\Answer:\ \boxed{\text{All real numbers except 0}\to x\in\mathbb{R}-\{0\}}[/tex]

The domain of the function is a real number except 0 because the function is not defined at x = 0.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The functions are given below.

f(x) = x

g(x) = 1

Then the domain of the function (g/f)(x) will be

(g/f)(x) = 1 / x

Then the graph of the function is given below.

The domain of the function is a real number except 0 because the function is not defined at x = 0.

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the value of a particular investment follows a pattern of exponential growth. in the year 2000 you invested money in a money market account. the value of your investment t years after 2000 is given by the exponential growth model A=2600e^0.052t. how much did u initially invest in the account? please show work

Answers

the 2600 is the constant so you initially invested $2600

600,000 to the nearest hundred thousand is

Answers

600,000 rounded to the nearest hundred thousand is 1,000,000.

Well

the answer to the question is in the question

Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters. She wants to divide it into the largest squares possible without wasting any paper. How many squares of the largest size will she be able to cut from the paper? 13 squares, 26 squares, 143 squares, or 572 squares

Answers

First, find the area of the rectangular paper: 104 × 88 = 9152 cm²

Since we want to find the number of the largest square that we can cut from the paper, we need to investigate if there's any square number is the factor of 9152

We can use the prime factor tree to find the factors of 9152 that is also a square number as shown below

9152 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13

after trying few combinations, we have:
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 × 2 = 64

The largest square number is 64, and we will have 9152 ÷ 64 = 143 squares of papers

Two of the sides of an isosceles triangle have lengths of 10 cm and 4 cm. what is the length of the base?

Answers

40 because you get the 10 and the 4 and multiply it together

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

The unequal side is the base of the triangle.

The length of the base of the isosceles triangle is

10 cm or 4 cm.

What is an isosceles triangle?

An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.

The unequal side is the base of the triangle.

We have,

Two sides of an isosceles triangle have lengths:

= 10 cm and 4 cm

The unequal side of the isosceles triangle is the base and the other two sides have to be equal.

We can have two cases-

Case 1.

If the equal two sides are 10 cm.

Base = 4 cm

Case 2.

If the equal two sides are 4 cm.

Base = 10 cm.

Thus the length of the base of the isosceles triangle is

10 cm or 4 cm.

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The perimeter of a college athletic field is 104104 meters and the length is 1414 m more than the width. find the length and width.

Answers

The answer is 50,638.

350 kilometers in 5 hours in unit rate

Answers

70 is the answer forthis

Answer:

70 kilometers per hour.

Step-by-step explanation:

Remember that unit rate is the direct correlation between two different units, but the numerator should be 1, this means that for example if you can cook 20 muffins in 4 ovens, you have to calculate how many muffins can you cook in one oven, to calculate this problem you have to divide the kilometers by the hours you have:

350 kilometers/ 5 hours= 70 km/hr.

So that would be the answer.

What is the effective rate on a $10,000 treasury bill 4% for 13 weeks?

Answers

The Answer is 4.04% (see attachment for full solution.

Final answer:

The effective rate on a $10,000 treasury bill with a nominal rate of 4% for 13 weeks is 4.06%.

Explanation:

The effective rate on a treasury bill is the annualized interest rate that takes into account the compounding of interest over the term of the bill. To calculate the effective rate, you can use the formula:

[tex]Effective Rate = (1 + (Nominal Rate / M))^M - 1[/tex]

Where:

Effective Rate is the annualized interest rateNominal Rate is the stated interest rate (4% in this case)M is the number of compounding periods in one year (for a treasury bill, usually 4 as it is a 13-week bill)

Plugging in the values:

Effective Rate = [tex](1 + (0.04 / 4))^4[/tex]- 1

= [tex](1 + 0.01)^4 - 1[/tex]

= [tex]1.01^4 - 1[/tex]

= 1.04060401 - 1

= 0.04060401 (or 4.06% rounded to two decimal places)

Therefore, the effective rate on a $10,000 treasury bill with a nominal rate of 4% for 13 weeks is 4.06%.

James built a small electric car and recorded the distance it traveled. The table below shows the distance traveled (n) during the first 4 seconds after starting (f). Elapsed Time (seconds) Distance Traveled (feet) 1 6.2 2 12.4 3 18.6 4 24.8 Which of the following equations represents the relationship between the distance traveled and the elapsed time? f = 6.2 + n n = 6.2 + f f = 6.2n n = 6.2f

Answers

Elapsed Time (Seconds) Distance Travelled (Feet)
1 6.2
2 12.4
3 18.6
4 24.8

To form an equation, we first need to check whether the changing rate is a linear or non-linear.

A linear rate would give the same changing rate every one second traveled

Distance traveled between second 1 and second 2 = 12.4 - 6.2 = 6.2
Distance traveled between second 2 and second 3 = 18.6 - 12.4 = 6.2
Distance traveled between second 3 and second 2 = 24.8 - 18.6 = 6.2

Since the increase is the same every second, 6.2 feet, our equation would be the linear equation which is in the form y = mx + c
Where 'm' represents the gradient (changing rate) and c represents the distance traveled when the time is zero, which is also zero

n = 1 ⇒ d = 6.2
n = 0 ⇒ d = 6.2 - 6.2 = 0

We have m = 6.2 and c = 0
The equation is f = 6.2n

Answer: Option 3

there are 207 students in 9 classes at east middle school at this rate how many students are in six classes

Answers

Hi Officiallylilly!
So 207 students in 9 classes, how many are in 6 classes? OK this is easy to solve so we do 207/9 to find out how many is in one class which is 23 in one class. Ok so if 23 is one class now we need to find out how many is in 6 classes which all we do is 23*6 which is 138.
Hope this helps!

A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 80 square feet. Find the length of the rectangle.

Answers

Final answer:

To find the length of the rectangle, set up a proportion using the given information. Solve the equation to find the length of the rectangle is 10 feet.

Explanation:

To find the length of the rectangle, we can set up a proportion using the given information. Let the length of the rectangle be L and the width be W. From the problem, we know that the width is 2 feet shorter than the length, so we can write the equation W = L - 2. We also know that the area of the rectangle is 80 square feet, so we can write the equation L * W = 80.

Substituting W = L - 2 into the equation L * W = 80, we get L * (L - 2) = 80. Expanding and rearranging the equation gives us L2 - 2L - 80 = 0. Factoring the quadratic equation, we find (L - 10)(L + 8) = 0.

Since we are looking for the length of the rectangle, we discard the negative solution and find that L = 10. Therefore, the length of the rectangle is 10 feet.

How to find the general solution to y"'+2y"-4y'-8y=0?

Answers

[tex]y'''+2y''-4y'-8y=0[/tex]

has characteristic equation

[tex]r^3+2r^2-4r-8=r^2(r+2)-4(r+2)=(r^2-4)(r+2)=(r-2)(r+2)^2=0[/tex]

which has roots at [tex]r=\pm2[/tex]. The negative root has multiplicity 2. So the general solution is

[tex]y=C_1e^{2x}+C_2e^{-2x}+C_3xe^{-2x}[/tex]

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