Answer:
Answer below
Step-by-step explanation:
Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.
The equation of the path of a rocket is given that is y= x^2 + 153x + 98
We need to determine the time that the rocket will hit the ground.
Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.
Therefore, the value of y is 0.
Thus, -16x^2 +153x + 98 = 0
Now, the formula for finding the roots of the quadratic equation
ax^2 +bx +c = 0 is given as:
[tex]x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]
[tex]x^2 = \frac{-b -\sqrt{b^2 -4ac} }{2a}[/tex]
Comparing the expression with the standard form of the equation.
a = -16b = 153 and c = 98
By applying the formula there are two values are come that is,
x^1 = -0.602555
x^2 = 10.1651
Time can not be negative from any perspective.
Hence, the correct answer is 10.16 seconds.
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(Hope this helps can I pls have brainlist (crown)☺️)
Evaluate. 5.8 – 3.63 = ________
The container hold 1/2 gallon of water. It is 3/4 full. How many gallons of water are in the container?
Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.
The container is capable of holding 1/2 gallons of water.
If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:
= Capacity of container x Percentage full
= 1/2 x 3/4
= 3/8 gallons of water
In conclusion, the container is currently holding 3/8 gallons of water.
Find out more about this at https://brainly.com/question/11459708.
A city's population is increasing at a rate of 2% per year.
If this rate of growth remains the same and the population is 2 million in the year 2014, approximately how many people will there be after 20 years?
a.)
2.02 million
b.)
2.88 million
c.)
2.14 million
d.)
2.97 million
Based on the information the number of people that will there after 20 years is: d.) 2.97 million.
Using this formula
P(t) = Population ×(1+ rate)^t
Where:
Population=2 million
rate=2%
time=20 years
Let plug in the formula
P(t) = 2×(1+.02)^20
P(t) = 2×(1.02)^20
P(t) = 2×1.485947
P(t) = 2.97 million
Inconclusion the number of people that will there after 20 years is: d.) 2.97 million.
Learn more about population here:https://brainly.com/question/25630111
If it takes 7.1 pounds of seed to plant one acre of grass, how many acres can be planted with 7.81 pounds of seed?
Answer: make me brainlist
Step-by-step explanation: 1.1 x
How would you write the quotient as a simplified fraction?
A) 851÷46 = 18 23/36
B) 851÷46 = 18 1/2
C) 851÷46 = 18.5
D) 851÷46 = 17 23/46
Answer:
The answer is b
Step-by-step explanation:
help me please thanks
Answer:
9.25 would be the value of x
Explanation:
Perimeter = 2(l + w)
2(13.25 + 9.25)
= 45
Which is equivalent to the expression below for a +5 minus a +2
Answer:
3
Step-by-step explanation:
Positive 5 minus 2 positive its just simple subtraction.
Someone help me click this solve it using < or >
Answer:
<
<
>
Step-by-step explanation:
To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].
Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".
To do these sums, we have to first convert them to like fractions.
For the first one:
LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]For the second sum:
LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]For the third one:
LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]Hope you could get an idea from here.
Doubt clarification - use comment section.
if you are in a 200 meter race and finish 19 meters ahead of your opponent, if you were to run the race again, where woild you have to start to end the race in a tie?
Answer:
i haven't done this in years but i'm pretty sure -19 meters
Step-by-step explanation:
Line c has an equation of Y=-5x+3 Parallel to line c is line d which passes through the point (2,-6) what is the equation of line d
Answer:
The equation of line d is
X = -5x + 4
Explanation:
Two lines are parallel when they both have the same slope.
Line c and line d have a common slope of -5.
X = -5x + 4, in particular, passes through the point (2, -6).
Hope this helped. Have an awesome and blessed year!
A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.
(a) Calculate the capacity in liters, of the tank.
(b) If gasoline cost $154 per liter, what is the cost of filling the tank?
Answer:
$4851
Step-by-step explanation:
rectangular prism volume = length x width x height
1 litre = 1000 cm³
cost = $per litre x litres
v = l x w x h
30cm x 25cm x 42cm = 31500cm³
litres = cm³ / 1000
31500cm³ / 1000 = 31.5 litres
31.5 x $154 = $4851
A card is fresh from an ordinary deck. Find the probability that it did a diamond given that it is a jack
Answer:
1/52
Step-by-step explanation:
A deck has 52 cards and the probability of picking a specific one is 1/52, or 1.92%
If you are looking for the probability of a diamond, it is 1/4, or 25%
it took ken 2/8 hour to finish a puzzle ken told his mom how long it took with the fraction in simplest form how many hours did ken tell his mom
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
Step-by-step explanation:
what is the problem ?
as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.
g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...
g(0) = 3 - 1/3 × 0 = 3
g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...
Answer:
g(-1) = 3/2
g(0) = 3
g(4) = 1
A survey of 600 nurses yielded the following information: 427 were health club members, 325 were smokers, and 245 of the health club members were smokers. How
many of the 600 surveyed nurses were health club members or were smokers?
The number of surveyed nurses that were health club members or were smokers is 316.
Let the total number of nurses be 600 nursesn(U) = 600Let H be health club members, n(H) = 427Let S be smokers, n(S) = 325If 245 of the health club members were smokers, then n(HnS) = 245 members.
The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].
The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.
The number of surveyed nurses that were health club members or were smokers is 316.
Learn more on set notation here: https://brainly.com/question/24462379
In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.
Using the z-distribution, it is found that the correct option is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A confidence interval is given by:
[tex]p \pm zs[/tex]
In which:
p is the estimate of the proportion.z is the critical value.s is the standard error.In this problem, the proportions are:
A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].Hence, the standard errors are:
[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]
When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:
[tex]p = p_1 - p_2[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
Thus, the interval is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A similar problem is given at https://brainly.com/question/12517818
Can you help me w this
x/3-2=6
+2
x/3=8
*3
x=24
x/5+1=5
-1
x/5=4
*5
x=20
Answer:
Step-by-step explanation:
a)
(x / 3) - 2 = 6
add 2 to both sides
x / 3 = 8
multiply both sides by 3
x = 24
b)
(x / 5) + 1 = 5
subtract 1 from both sides
(x / 5) = 4
multiply both sides by 5
x = 20
what is the property of y • 0 = 0
Answer: The property of y x 0 = 0 is the Identity property.
Step-by-step explanation:
I hope this is what you were looking for, I apologize if I have been mistaken.
What type of association does the graph show between x and y
Answer:
Nonlinear positive association
Step-by-step explanation:
It is nonlinear because it does not form a straight line.
It is positive because it is going up to the right.
I hope this helps!
a linear function yand x has graduent -6/7 and y-intercept 8. write down the equation of the function.
Answer:
y = - 6/7x + 8Step-by-step explanation:
The slope- intercept form is:
y = mx + b, where m is the slope (or gradient) and b is the y-interceptWe have:
m = - 6/7 and b = 8The line is:
y = - 6/7x + 8Find the volume of the following figure. Use 3.14 for pi. best answer gets brainliest also 100 points
Answer: 301.44 cubic inches.
Step-by-step explanation:
The formula for the volume of a cone is [tex]V = \pi r^2 \frac{h}{3}[/tex], so by plugging in the radius (6) and height (8), and using 3.14 as pi, you can get 301.44 as the total volume.
Since it is volume, it is in inches cubed, Therefore, the final answer is 301.44 cubic inches.
I hope this helps! :)
A unique source of water pollution contributing to water quality problems in the Ganges River is: A. raw sewage. B. disease-causing organisms. C. zebra mussels. D. PCBs. E. ash from human cremations.
Six movie tickets cost $96 what is the cost per ticket
Cost of 6 tickets = $ 96
Cost of 1 ticket = ?
Cost of 1 ticket = 96/6
Cost per ticket = $ 16
______
Hope it helps ⚜
Step-by-step explanation:
6 tickets=$96
1 ticket =96/6
=16
Do both of them for 50 points
Answer:
1) 5.44, 2) 3.9
Step-by-step explanation:
1) a/b + 2b - a^2 when a = 1.4 and b = 0.2
plug in the values:
1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44
2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)
again, plug in the values:
2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9
Jason stands in the corner of a very large field. He walks, on a bearing of 030°,
a distance of d metres. Jason then changes direction and walks twice as far on a new
bearing of 120°. At the end of the walk Jason calculates both the distance he must
walk and the bearing required to return to his original position. Given that the total
distance walked is 120 metres, what answers will Jason get if he is correct?
Answer:
Step-by-step explanation:
d + 2d = 120
3d = 120
d = 40 m
east distance was 40cos30 + 80cos120 = -5.35898 m
north distance was 40sin30 + 80sin120 = 89.282032
as 30° and 120° bearings are 90° apart, Jason needs to walk
D = √(d² + (2d)²) = d√5 or 40√5 meters or about 89.44 m to return to his original position.
we could also use √(-5.35898² + 89.282032²) = 89.44 m
direction will be
θ = arctan -89.28/5.359 = -86.565° or a bearing of 273.4°
a lab has two bacterial cultures. culture a contains 4 x 10^4 and culture b contains 8x10^6 bacteria. how many times greater is culture b than culture a
Below the function h (x) ang g (x) are graphes. At which values of x is true that h (x) > g (x)? Select all that apply.
Answer:
25
Step-by-step explanation:
At x = 10 and 31 the value of the function h(x) is greater than g(x) thus options (A) and (D) are correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given graph of the function,
At x = 10 the h(x) > g(x)
At x = 31 the h(x) > g(x)
Hence "The value of the function h(x) is bigger than g(x) at x = 10 and 31".
For more about the function,
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I’ll mark you brainless if you give me the answer
Answer:
x=8
Step-by-step explanation:
Never crosses the y-axis so x equals 8
heeelllppp meeee please
6-3y+(-7y)+5.6 i really need answers
Answer:
+2 • (25y + 29)/5
Step-by-step explanation: