Answer:
[tex] \displaystyle 1)48.2 \: \: \text{sec}[/tex]
[tex] \rm \displaystyle 2)3021.6 \: m[/tex]
Step-by-step explanation:
Question-1:so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,
to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:
[tex] \displaystyle - 4.9 {t}^{2} + 229t + 346 = 0[/tex]
to solve the equation can consider the quadratic formula given by
[tex] \displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a} [/tex]
so let our a,b and c be -4.9,229 and 346 Thus substitute:
[tex] \rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]
remove parentheses:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]
simplify square:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)} [/tex]
simplify multiplication:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8} [/tex]
simplify Substraction:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8} [/tex]
by simplifying we acquire:
[tex] \displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5[/tex]
since time can't be negative
[tex] \displaystyle t = 48.2 [/tex]
hence,
at 48.2 seconds splashdown occurs
Question-2:to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered
[tex] \displaystyle x _{ \text{max}} = \frac{ - b}{2a} [/tex]
let a and b be -4.9 and 229 respectively thus substitute:
[tex] \displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)} [/tex]
simplify which yields:
[tex] \displaystyle t _{ \text{max}} = 23.4[/tex]
now plug in the maximum t to the function:
[tex] \rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346 [/tex]
simplify:
[tex] \rm \displaystyle h(23.4) = 3021.6[/tex]
hence,
about 3021.6 meters high above sea-level the rocket gets at its peak?
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?
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Answer:
43.1 in³
Step-by-step explanation:
The volume can be computed using the formula ...
V = (π/4)d²h . . . . where d is the diameter and h is the height
For your dimensions, the volume is ...
V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³
A full can contains a volume of about 43.1 cubic inches.
Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 511 human resource​ professionals, each was asked about the importance of the age of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
a) it is flawed because it is a census.
b) it is flawed because it is not statistically significant.
c) it appears to be sound because the data are not biased in anyway.
d) it is flawed because it is a voluntary response sample.
Answer:
c) it appears to be sound because the data are not biased in anyway.
Step-by-step explanation:
From the information given regarding the sample selection method , the size, the larger sample from which the survey subject were selected, we can conclude that the data is sound and not in anyway biased. The subject were selected from a reputable market research firm, which means the subjects were chosen from a larger sample which is reliable and not just a voluntary pool of subjects. Also, the selection process is randomized. Based on these, there are no flaws which are likely to cause the introduction of bias into the sample selected. Hence, the data is sound and not in any way biased.
Which of the following exponential functions represents the graph below
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Answer:
D
Step-by-step explanation:
The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.
5. If the lines 2x + 3ay – 1 = 0 and 3x + 4y + 1 = 9 are mutually perpendicular, then the value of a is (1 Point) O a. O b.3 O-1/2
because the multiplication Slope of 2 perpendicular is -1
In ABC, c=66,m∠A=3230', and m∠C=11140'. Find the length of side a to the nearest tenth.
A box contains 15 green marbles and 16 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble
===================================================
Explanation:
16/31 represents the probability of picking a white marble
This is because there are 16 white out of 15+16 = 31 total.
---------
After we make a first selection, we have 16-1 = 15 white marbles left out of 31-1 = 30 marbles overall. The probability of selecting another white marble is 15/30 = 1/2.
Multiply those two fractions:
(16/31)*(1/2) = (16*1)/(31*2) = (2*8)/(31*2) = 8/31
which represents the probability of selecting two white marbles in a row, such that we don't put the first one back (and there's no replacement).
⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️
If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)
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Answer:
f(5) = 160
Step-by-step explanation:
The first several terms of the sequence are ...
10, -20, 40, -80, 160, -320, 640, ...
Each term is -2 times the previous term.
f(5) = 160
: (570)=2 م Let m 1 = (342) and m .16 = m1= =OFE هم (
Answer:
x = 6
m<1 = 20°
m<CFE = 140°
Step-by-step explanation:
m<1 = (3x + 2)°
m<2 = (5x - 10)°
✔️Given that FB bisects AFC, therefore,
m<1 = m<2
Substitute
3x + 2 = 5x - 10
Collect like terms and solve for x
3x - 5x = -2 - 10
-2x = -12
-2x/-2 = -12/-2
x = 6
✔️m<1 = 3x + 2
Plug in the value of x
m<1 = 3(6) + 2
m<1 = 18 + 2
m<1 = 20°
✔️m<CFE = 180° - m<AFC (angles on a straight line)
m<CFE = 180° - (m<1 + m<2)
m<CFE = 180° - (20 + 20)
m<CFE = 180° - 40°
m<CFE = 140°
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
[tex] \large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \$ \: 583.3125}}}}[/tex]
Well , You can solve this question using two ways. I'm gonna use the both ways to make you clear and the one which you can easily understand , pick up that way and start solving another question as similar as this one.
[tex] \large{ \tt{❃ \: FIRST \: METHOD }} : [/tex]
This method is related to the unitary method. Let's start :
We're provided - Amount Kelly earns per hour for gardening = $ 12.75 and we're asked to find out the amount she earn if she worked 45.75 hours this month.We know , Kelly probably earns more money if she worked 45.75 hours comparison to if she worked 1 hour. So You just multiply 45.75 & 12.75 , you would get $ 583.3125 and that's your final answer.[tex] \large{ \tt{❃ \: SECOND \: METHOD}} : [/tex]
This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :
Let Kelly earns X dollars if she worked 45.75 hours this month. [ Now , See the attached picture ] Here , we can see the time is increased which implies that money will surely be increased. Such type of proportion is called direct proportion.Here , the ratio of time ( in hours ) = 1 : 45.75 and the ratio of amount ( in dollars ) = 12.75 : x . Now , Set up an equation and solve for x :[tex] \large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}} [/tex]
[tex] \large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}[/tex]
[tex] \large{ \tt{↦x = \$ \: 583.3125}}[/tex]
Hence , She earned $ 583.3125 .▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer to the question
Answer:
x = 48.
Step-by-step explanation:
AE and EC are equivalent. Subtract 9 from 921, and divide by 19 to get the value of x, which is 48.
You buy a used car for $9,000. The car depreciates 9% per year. Find the value of the
car after 10 years.
Answer:
$19,000.Step-by-step explanation:
#hopeithelpsbrainliest me.Write a function to describe the following scenario.
A taxi driver charges a $5 flat fee to
enter the car and $0.50 per mile.
What is the total cost of a taxi ride?
y = [?]x + [?]
Answer:
y = $0.50x + $5. $7 if you went 4 miles
Step-by-step explanation:
$0.50 will be the coefficient for the variable x since the amount changes based on how many miles you ride. $5 will be the amount you are charged just for getting into the taxi and doesn't change depending on how many miles you go.
[tex]y=0.50x+5[/tex]
I used x = 4 for the number of miles travelled.
[tex]y=0.50(4)+5[/tex]
[tex]y=2+5[/tex]
[tex]y=[/tex] $7 total cost
Please show work for BRAINLIEST
Answer:
the anser is 54 cm square (30+15+9)
Answer:
it area is 54 cm square
Step-by-step explanation:
first point it's divide in three part . it's first is up side 3 by 3 . it's second part is middle side 3 by 5. it's third part is down side 10 by 3.then aHi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please. Id really appreciate it.
Answer:
222
Step-by-step explanation:
What I did was calculate the area of each sides of the triangular prism.
For the two triangles:
1/2(6x5)=15 (for 1 triangle, notice there are 2 so -> 30)
For the 2 rectangles:
5x12=60 x2 = 120
For the base:
6x12=72
Add all them together we get 222
Need help solving for x, look at image above
Answer:
x = 1.2
Step-by-step explanation:
We can use a ratio to solve since they are similar triangles
6 (6+4)
----- = ---------
x 2
Using cross products
6*2 = (6+4)*x
12 = 10x
Divide by 10
12/10 = x
1.2 =x
Hope this help!!!
Have a nice day!!!
How many 1/6 cup servings of. Rice are in 2/3 cup of rice
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Answer:
4
Step-by-step explanation:
2/3 = 4/6
There are four 1/6-cup servings of rice in 4/6 cups of rice.
find the polynomial of minimum degree, with real coefficients, zeros at x=-4+1i and x=8, and y intercept at -408
Answer:
(x-8)(x+4-i)=x^2+4x-ix-8x-32+8i=x^2-(4+i)x-32+8i
y=x^2-(4+i)x-32+8i
Check:
D=16+8i-1+128-32i=143-24
how to what.nnnnkkadjkdjdadljadjldjlkajlljklk
Answer:
??
Step-by-step explanation:
How can she find the coordinates of the new point without graphing the point?
#CarryOnLearning
If a randomly selected customer was satisfied with his/her meal, what is the probability that the customer ordered fish
Answer:
87.5%
Step-by-step explanation:
Complete question -
75% of the people who eat at Doug's Diner order fish and 90% of the people who order fish also order fries. Given that 80% of all people who eat at Doug's order fries, what is the probability that a randomly chosen customer orders fries without fish?
Solution
Given
People who order fish at the Doug's Diner = 75%
Out of this 75%, 90% also order fries which means that nearly 67.5% ordered fries with the fish.
Given that, 80% of people dining at Doug's Diner order fries
Then percentage or people who ordered only fires and no fish = 80% - 67.5% = 12.5%
The probability of customers who ordered fish = 100 - 12.5% = 87.5%
graph the function g(x)=-4x-1
here is the answer
mark me in the brainlist
thanks
which of the following is not a pythagorean triple?
Answer:
A
Step-by-step explanation:
7^2+8^2 does NOT equal 9^2
A. (7,8,9)
Did the test just now.
Phil's average is 0.250. This is about 5/6 as much as Joe's average. What is Joe's average? (Write answer is decimal form - do not round).
Let Joes average = x
Phil’s average is 0.250 and is 5/6X ( 5/6 of Joe’s)
5/6x = 0.250
Solve for x by dividing both sides by 5/6. When dividing by a fraction, flip the fraction over and multiply;
X = 0.250 x 6/5 = (0.250 x 6)/5 = 1.5/5 = 0.30
Joes average is 0.3
if m=17 and b=6,find m
Answer:
M) = 17
Step-by-step explanation:
You stated the answer right there. I think the question is missing more info but for now M=17
Which of the following equations has the solution set {0}?
-14m - 7m + 1 = -7m + 1
-14m + 7m + 1 = -7m + 2
14m - 7m - 1 = -7m + 1
Answer:
the first one
-14m - 7m + 1 = - 7m + 1
For the function f(x) = -12x^2 + 6x - 8 find the equation of the tangent line at x= -1
Answer:
y=30x+4
Step-by-step explanation:
A school cafeteria wants to survey a random sample of 50 students about the quality of food. During one lunch period, every 5th student who walks through the cafeteria door is surveyed until 50 students are selected. Which of the following statements is true about this sample?
Answer:
B
Step-by-step explanation:
Answer:
B EDGE
Step-by-step explanation:
Does this graph represent a function? Why or why not?
(1.00)^365
What type of math problem is this and how to explain it, please?
Step-by-step explanation:
(1.00)³⁶⁵
=1
1 power any natural number is 1
Answer:
1
Step-by-step explanation:
(1.00)^365
it means to multiply (1 .00) 365 times
Can someone help me?
Answer:
1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value
4-3+5 = 1+5 = 6
-6+8+4 = 2+4 = 6
6=6, so the sentence is correct
2+5 = 19-12 => 7=7, true
5-4-3-2-1 = 30-34-1 => -5=-5, true
2(x+5)-4x = 3(x-2)-5x+16
=> 2x+10-4x = 3x-6-5x+16
=> -2x+10 = -2x+10, true
Step-by-step explanation:
the other two sentences lead to false
4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false
2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false
