volcano Puu Puai in Hawaii was formed in 1959 when a massive “lava fountain” erupted. The lava shot from the ground with an initial velocity of 350 feet per second.
a. For how long was the lava in the air until it returned to the ground?
b. What was the maximum height of the lava?
c. After how many seconds did the maximum height occur?

Answers

Answer 1

Answer:

a)Tt = 21,41 s

b) y(max) = 1873 ft

c)  t = 10,70 s

Step-by-step explanation:

We assume that this is a case of vertical shooting then:

a) Vf  = V₀  -  g*t

Vf = 0         -g*t = -V₀

t  =  V₀ /g         t  =  350 ft/s / 32,7 ft/s²

t  =  10,70 s     time for lava to reach y maximum

a) Then  Tt = 2*10,7     Tt = 21,41 s

Lava was in the air for  Tt = 21,41 s

b) y = y₀ + v₀*t - (1/2 )*g*t²

for y = ymax  we get:

y(max)  = 0 + 350*10,70 - 0,5* 32,7* ( 10,70)²

y(max)  =  3745  - 1872

y(max) = 1873 ft

c) t = 10,70 s


Related Questions

How do you write 0.0704 in scientific notation?​

Answers

Answer:

well for me I think it's

Step-by-step explanation:

7.04×10^-2

i think the correct answer is the one above mine. i got the same thing

How to write slope intercept form of
y = -5/4 (x+4)

Answers

Answer: y=−5/4x−5

Step-by-step explanation:

What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...

A. 5
B. 3
C. 6
D. 4

Answers

the answer would be A. 5 because each time you add 5 hope this helps and make me branliest please(:

Answer:

A. 5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

In a quadrilateral, all four of the angles are right angles. if the figure doe isn’t have four congruent sides, what is it?
rectangle
quadrilateral
rhombus
square

Answers

the correct answer is rectangle

Answer:

rectangle

Step-by-step explanation:

Please, does anyone know the step to solve this equation? I mark u brainlist.

Answers

Answer:

(2, -6)

Step-by-step explanation:

First you want to set both equations equal to each other so you can find one of the variables.

y = x^2 + 3x -4

for second equation lets rearrange so we start with y=

x=y-4

add 4 to both sides

4+x = y or y= x+4

since both equations equal y, lets set them equal to each other

x+4 = x^2 + 3x -4

set it equal to 0 by subtracting x and 4 from both sides

x^2 + 2x -8 = 0

factor

(x+4) (x-2) = 0

so x has to be either -4 or 2. We can shortcut and say only B makes sense since x=2.

to double check, plug in x=2 in both equations

y= 2^2 + 3(2) -4 = 4+6 -4 = 6

2 = y -4; y=6

so B is correct.

please give thanks by clicking the heart button, i spent a while :)

A 128 inch board is cut into 3 pieces. The second piece is 33 inches longer than the first piece, and the third is three times as long as the first. Set up an equation and solve it to determine the length of the three pieces.

Answers

Answer:

The first piece is 19 inches, the second is 52, and the third piece is 57.

Step-by-step explanation:

Solve for x using (x) + (x + 33) + (3x) = 128.

Help 6th grade math thanks

Answers

I think 8.75, but math is like my worst subject so if I got it wrong tell me:)

Solve each system by elimination.
1) –10x – 15y = 30
-9x - 5y=-24

Answers

Answer:

(6,-6)

Step-by-step explanation:

1. -10x-15y=30

-10x-15y+15y=30+15y

-10x/-10=30+15y/-10

x=-3 -3/2

plug in the other equation and solve for y

-9x-5y=-24

-9(-3-3/2)-5y=-24

y=-6

plug -6 in for y in one of the original equations

-9x-5y=-24

-9x-5(-6)=-24

solve for x

x=6

wonderful

I really don't understand all of this

Answers

Answer:

Step-by-step explanation:

Distribute each one like a robot

Or factor it like a human.

5(x+2y - 3)

Answer:

[tex]5(x + 2y - 3)[/tex]

Step-by-step explanation:

[tex]the \: answer \: while \\ \: expanding \: will \: get \: like \: this \\ \\ 5(x + 2y - 3) \\ = (5 \times x) +( 5 \times 2y )+ (5 \times - 3) \\ = 5x + 10y - 15 \\ \\ hope \: it \: helps \\ plzzz \: mark \: it \: as \: brainliest...[/tex]

The weight of a child in 1990 was 40 lb. By 2005, the child's weight
had increased to 90 lb. What was the percent increase?

Answers

Answer:

225%

Step-by-step explanation:

1. Divide the new weight by the original weight.

90/40 = 2.25.

2. Multiply by 100 to get the percentage.

2.25 x 100 = 225%

The percentage increase of the child from 1990 to 2005 is 125%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The weight of a child in 1990 was 40 lb. By 2005, the child's weight

had increased to 90 lb.

So, The amount of weight increase is (90 - 40)lb = 50lb.

∴ The percentage increase is,

= (50/40)×100%.

= 125%.

learn more about percentage change here :

https://brainly.com/question/14801224

#SPJ2

The sum of eighteen and eight times a number is ninety.
what is the number?

Answers

Answer:

9

Step-by-step explanation:

9x8=72 72+18=90

9 is your answer because 8 x 9 = 72 + 18 = 90

A football pitch is 110m long and has a perimeter of 360m . Find the area of the football pitch .

Answers

Answer:

same

Step-by-step explanation:

bro

The area of the given football pitch is required.

The area of the football pitch is [tex]7700\ \text{m}^2[/tex]

Area and perimeter

l = Length of pitch = 110 m

P = Perimeter of pitch = 360 m

w = Width of pitch

Football pitches are rectangular.

Perimeter of the pitch is given by

[tex]P=2(l+w)\\\Rightarrow w=\dfrac{P}{2}-l\\\Rightarrow w=\dfrac{360}{2}-110\\\Rightarrow w=70\ \text{m}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=110\times 70\\\Rightarrow A=7700\ \text{m}^2[/tex]

Learn more about area and perimeter:

https://brainly.com/question/19819849

g A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. If 18 of these seniors are selected at random and asked their opinion, what is the probability that more than 9 but fewer than 14 disapprove of smoking pot daily

Answers

Answer:

the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Step-by-step explanation:

From the information given:

Let N represent the total number of senior students

N = 17000

and k to be the number of seniors disapproving of daily pot smoking

k = 17000 × 0.70

k = 11900

sample size n = 18

Suppose X represents the random variable...

Then,

X = 0,1,2,...,18

Thus X follows a hypergeometric distribution with parameters

(N = 17000, n = 18 & k = 11900)

Thus, the  probability mass function is:

[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]

Now, the required probability is computed as:

[tex]P(9<X<14) = P(10 \le X \le13)[/tex]

[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]

[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018

P(9<X<14) = 0.608

Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

what is the incline slope of the ramp?

Rise= 2 feet
run = 10 feet​

Answers

The in cline of the ramp is 7.2

Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..

Answers

Complete Question

Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..

The data in grams  are

     100.02 , 99.98 , 100.03

Answer:

The p-value is  [tex]p-value =0.5798[/tex]

Step-by-step explanation:

    Generally the sample mean of the given data is mathematically represented as

        [tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]

        [tex]\= x =100.03 \ g[/tex]

Generally the standard deviation is mathematically represented as  

        [tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]

=>     [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]

=>     [tex]s = 0.02645[/tex]

The null hypothesis is  [tex]H_o : \mu = 100[/tex]

The alternative hypothesis is  [tex]H_a : \mu \ne 100[/tex]

Generally the degree of freedom is mathematically represented as

            [tex]df = n - 1[/tex]

=>         [tex]df = 3 - 1[/tex]

=>         [tex]df = 2[/tex]

Generally the test statistics is mathematically represented as    

          [tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]

=>      [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]  

=>      [tex]t = 0.655[/tex]

From the t distribution table the probability corresponding to the t  to the right of the bell curve  at a degree of freedom of  [tex]df = 2[/tex]

         [tex]P( T > 0.655 ) = 0.2899[/tex]

Generally the p-value for this two tailed test is mathematically represented as

          [tex]p-value = 2 * P(T > 0.655)[/tex]

=>       [tex]p-value = 2 * 0.2899[/tex]

=>       [tex]p-value =0.5798[/tex]

       

Charles received a $3.00 tip from a customer who had a $12.00 bill. Which decimal represents the fraction of the bill Charles received as a O 0.12 0 0.25 O 0.3 O 0.4​

Answers

Answer:

I think 0.4 would be the answer

Answer:

0.12 go to places to the left

The lines represented by the equations y - x = -8 and y = -x – 6 are
the same line
Submit Answer
neither parallel nor perpendicular
perpendicular
parallel

Answers

Answer:

Perpendicular

Step-by-step explanation:

Here, the slopes of the lines are 1 & -1

( they are same with opposite symbols) so, the lines are perpendicular

Which is greater 3/8 or 6/16

Answers

Answer:

they are the same

Step-by-step explanation:

They are the same

[tex]\frac{3}{8}\\\\=\frac{3}{8}\times\frac{2}{2}\\\\=\frac{3*2}{8*2}\\\\=\frac{6}{16}[/tex]

So i need help with the question below.

Answers

Answer:

Option (1)

Step-by-step explanation:

Option (1)

[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]

[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]

             [tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]

             [tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]

             [tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]

             [tex]=10+\frac{87}{99}[/tex]

             [tex]=10\frac{87}{99}[/tex]

True.

Option (2)

[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]

[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]

             [tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]

             [tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]

             [tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]

             [tex]=8+\frac{47}{40}[/tex]

             [tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]

             [tex]=8+1+\frac{7}{40}[/tex]

             [tex]=9+\frac{7}{40}[/tex]

             [tex]=9\frac{7}{40}[/tex]

False.

Option(3)

[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]

[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]

             [tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]

             [tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]

             [tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]

             [tex]=7+(\frac{23}{21})[/tex]

             [tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]

             [tex]=8+\frac{1}{21}[/tex]

             [tex]=8\frac{1}{21}[/tex]

False.

Option (4)

[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]

[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]

             [tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]

             [tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]

             [tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]

             [tex]=9+\frac{65}{42}[/tex]

             [tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]

             [tex]=9+1+\frac{23}{42}[/tex]

             [tex]=10\frac{23}{42}[/tex]

False.

Therefore, Option (1) is the answer.

solve for x! show your work please :)

Answers

Answer:

x= 12

Step-by-step explanation:

16=24

2x-6= 18

2x= 18+6= 24

2x= 24

x= 24/2= 12

hope it helps!

Answer:

x=12

Step-by-step explanation:

Line AC and line PR are congruent.

2x-6=18

2x=24

x=12

Here are the monthly charges for Jo's mobile phone
Monthly charge 616
150 free minutes, then 18p per minute
150 free texte, then 18p per text
During one month, Jo makes 170 minutes of calls and sends 182 texte,
Work out the total charge for the month

Answers

Jo's Mobile Plan:
Fixed monthly charge = £16
Monthly 150 free minutes, post that 13p (or £0.13) per minute,
Monthly 150 free texts, post that 15p (or £0.15) per text
Jo's mobile phone usage details:
170 minutes of calls
182 texts
Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts
⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15
⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15
⇒ Total Charges for Jo = 16 + 2.6 + 4.8
⇒ Total Charges for Jo = 23.4
Hence, Jo should be charged £23.4 for the month.

Hope this helps !

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212 ​

Answers

Answer:

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212

Step-by-step explanation:

Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212

Answer:

 

The answer is b. 3 +  n / 2

Step-by-step explanation:

this has me a bit confused...can anyone help?

Answers

Answer:

x = 3b/2 + 3y/2

Step-by-step explanation:

Goal: Find x

To do that we must isolate x on one side of the equation.

2/3x - y = b

2/3x - y + y = b + y

2/3x = b + y

2/3x ÷ 2/3 = b + y ÷ 2/3

(When we divide fractions we multiply by its reciprocol.)

x = 3b/2 + 3y/2

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!


9 cm
14 cm
If the lengths of all 4 sides of the rectangle are doubled,
then the area will

Answers

Answer:

I think it's 149cm

Step-by-step explanation:

I just doubled the numbers and multiplied them

Which equation represents the parabola shown on the
graph?
A. y2 = -2x
B. y2 = -8%
C. x2 = -2y
D. x2 = -8y

Answers

Answer:

y2=-8x is what's graphed so B.

Step-by-step explanation:

(I think you mistyped the choice)

Answer:

Which equation represents the parabola?  

a) y2 = –2x

b) x2 = –2y

c) y2 = –8x

d) x2 = –8y

Step-by-step explanation:

C for edge 2021

2 Which expression is equivalent to
5 - 14? Select all that apply.
A -3.3
B
9+ (-1)
C
- 5+ 14
D 14 - (-5)




Answers

Answer:

C because two them answer is same!!

Step-by-step explanation:

-5+14=9

5-14=9

Answer:

Not a because it is -9.

Not b, that is 8,

not c that is 9

not d that is 19

None are correct?

Step-by-step explanation:

Which system has exactly one solution?

A. 3x - y =8
6x - 2y = 16

B. Y = 4x + 9
Y = 4x - 9

C. -6x + y = 2
Y = 6x + 2

D. 3x + 2y = 4
x - y = 3

Answers

Answer:

D

Step-by-step explanation:

A. when using elimination all number cancel out making it infinite solutions

B. has the same slope meaning the lines are parallel and will never intersect

C. when you isolate the y on 1 side for the 1st equation the equations are the same meaning infinite solutions

so d is the only one left

Hope this helps or makes sense.

What is the digit to the right of the decimal point in the decimal form of 4/37
?

Answers

Answer:

2/15

Step-by-step explanation:

If one term of a proportion is not known, what can be used to find the value of that term?

A: Substitution
B: Graphing
C: Cross-multiplication
D: Adding all the numbers together

Please select the best answer from the choices provided.​

Answers

Answer:

cross multification is correct answer

How can you tell the diffrence between horizontal and vertical translation in an equation?

Answers

You can tell based off the translation of graphs.
Vertical:

y=f(x) + k : graph shifts k units up

y=f(x) - k : graph shifts k units down

Horizontal:

y=f(x - k) : graph shifts k units right

y= f(x+k) : graph shifts k units left
Other Questions
1. in the equation 80 divided by 10 = 8, the number is the blank2. the number used to divide another number is the blank3. the result of dividing two numbers is the blank What is the connotative meaning of the phrase "unexplained glory" in Stanza 2?It connotes the empty symbolism of the flag.It connotes the wild confusion of battle.It connotes the deep complexity of the soldiers' cause.It connotes the great value of the soldiers' sacrifice. expand and simplify 5(2x-1)+2(3x-6) A serial schedule A. Is just theoretical and cannot be implemented in real life B. Needs the current Xact to finish before another one starts C. Is always sorted sequentially in ascending order by transaction ID D. Can have a dirty read anomaly C=59(F32)The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.A) I onlyB) II onlyC) III onlyD) I and II only Which are 60% as a fraction? Select ALL the answers that apply.A student is solving the equation 21 y + 3) = 14 for y. Which of these could be the next step?1. Distribute on the left hand side to get 2y +3 = 142. Divide both sides by 2 to get y+3 = 73. Distribute on the left hand side to get 2y +6 = 144. Subtract 3 from both sides to get 2y = 115. Divide both sides by 2 to get y+3 = 14 Which was the biggest flaw in the article of confederation 5.what is found in large quantities in the monazite sands of Kerala.Pls answer Original price is $16.45, markdown is 33%. The sales price is (only use numbers): $ Write a program that reads 20 integers from the user into an array and uses a function arrayMinimum that accepts an integer array along with its size as parameters and returns the smallest element of the array. The program needs to output the result (the smallest array element). WILL GIVE BRAINLIEST Evaluate 1.3 x 0.03 In fruit flies, white eyes are dominant and red eyes are recessive. If two-hybrid fruit flies (Ee) are crossed, what fraction of the offspring will have red eyes?1/41/22/31/3 Lisez chaque phrase et choisissez l'antonyme dans le menu. Faites attention la forme de l'adjectif Marie-Louise est soclable mais Olivia et Brigitte sont ___. dynamiques reservees rserve dynamique Yeltsin's "shock therapy" plan required the Russian government toSelect one:O a. heavily subsidize Russian industry.O b. take over the fussian banking system.O c. rapidly set price controls on consumer goods.O d. dramatically reduce its involvement in the economy. Why did the Chaco Anasazi people migrate away from their pueblos by the 1200s?A. There was a pandemic and the people gradually died out.B. They may have left because of a drought but no one knows for sure.C. They were seeking better economic opportunities elsewhere.D. Spiritual guidance suggested they should migrate away from their homes. The mean of the numbers 15,21,17,26,18 and 29 is 21. Calculate the standard deviation. find the three dimensional shape will mark brainiest for this answer to the attachment