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Related Questions
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?
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The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
https://brainly.com/question/11631534
At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.
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Answer:
First, round $19.83 to make the mental math easier. Then round the tip as well. Then you can easily multiply the two rounded numbers to find the value.
Step-by-step explanation:
Determine the measure of the angles.
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Answer:
E=118
K=50
Step-by-step explanation:
I=E
E=118
K=360-118-118-74 (sum of angles in quad)
K=50
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $7 per pack, while hamburgers cost $12 per pack with taxes included. Jerry can spend a maximum of $70 on the food.
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Answer: see below
Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50
If Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being
$5y + $6y - $50 or $11y - $50
Select the correct answer.
If you divide -16 into 5 equal parts, how much is each part equal to?
A.
-4
B.
-3.2
C.
+2.4
D.
+5
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Answer:
B) -3.2
Step-by-step explanation:
-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2
Please help only if you know. And please don't get this taken down or deleted- this question is very important and confuses me.
What interval would be appropriate to graph the data? what does the question mean???
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Answer: This question is not right
Step-by-step explanation:
What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.
1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800
There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's
Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question
How many text messages have you sent today?
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Answer: A lot
Step-by-step explanation: I can't count how many
find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
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Answer:
see explanation
Step-by-step explanation:
the translation rule (x, y ) → (2x, [tex]\frac{1}{3}[/tex] y )
means multiply the x- coordinate by 2 and multiply the y- coordinate by [tex]\frac{1}{3}[/tex] ), so
A (- 1, - 3 ) → A' (- 2, - 1 )
B (4, - 3 ) → B' (8, - 1 )
C (4, 3 ) → C' (8, 1 )
D (- 1, 3 ) → D' (- 2, 1 )
If p is the smallest of four consecutive even integers, what is their sum interms of P?
plz be fast
I need full step by step the explanation
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The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)
Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.
p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.
Therefore, the 4 consecutive even integers is represented as follows;
p, p + 2, p + 4, p + 6
So the sum is equal to:
sum = p + p + 2 + p + 4 + p + 6
sum = 4p + 12
sum = 4(p + 3)
learn more on even numbers here: https://brainly.com/question/21514478?referrer=searchResults
The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.
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[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]
Amy is traveling across the USA by train over the summer. She is keeping track of all of the stops on her trip. She has just completed stop 8 and the map shows she is 20% complete. How many total stops are on her trip?
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Answer: 40
Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total
The total number of stops in her trip is 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Amy has just completed stop 8 and the map shows she is 20% complete.
let the total number of stops be x
So, 20% of x = 8
20/100x= 8
1/5x = 8
x= 40
Hence, the total number of stops in her trip is 40.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
What is the range of the relation?
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Answer:b is the answer
Step-by-step explanation:
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.
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Answer:
A' (4,4) B' (0,0) C' (4,0)
Step-by-step explanation:
A (3,2) B (1,0) C (3,0)
Translated left 1 unit: A'' (2,2) B'' (0,0) C'' (2,0)
dilated about origin (0,0) by scale factor of 2: A' (4,4) B' (0,0) C' (4,0)
Question is on the pic!
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Answer:
C
Step-by-step explanation:
C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.
Answer:
C
Step-by-step explanation:
If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function
X 1 1 2 3 4
________________________________________________________
Y 0 3 4 2 6
this would not be a function because the one is at two different heights.
if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function
can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answers
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
20) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test
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Answer:
50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance
Step-by-step explanation:
He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.
write 200% as a decimal
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Answer:
Percent Decimal
80% 0.8
90% 0.9
100% 1
200% 2
Answer:
2.00
Step-by-step explanation:
To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).
Write the product using exponents.
(-1/2)•(-1/2)•(-1/2)
Using exponents, the product is
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Answer: (-1/2)^3
-0.125
Step-by-step explanation:
-.125 or 5/40. zzzzzzzzzzzzzzzzz
Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?
A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|
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Answer:
D
Step-by-step explanation:
To solve this, we can go through each answer and see if it is correct.
A)
|–125| < |45|
When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have
125 < 45
125 is greater than 45, so this is false
B)
|–98.5| < |23.7|
98.5 < 23.7
98.5 is greater than 23.7, so this is false
C)
|–174.6| > |204|
174.6 > 204
174.6 is less than 204, so this is false
D)
|–362.5| > |45.8|
362.5 > 45.8
362.5 is greater than 45.8, so this is true
My friend needs your help
Answers
Answer:
Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you
Step-by-step explanation:
Have a great rest of your day
#Nova
I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody explain or give the answer and show your work so I can understand that way? I will be giving away 20 points and brainliest. Thank You!
A patient is told to avoid caffeine for 8 to 12 hours before a blood test scheduled for 6 a.m. The blood test is reliable for up to 50 milligrams of caffeine in the bloodstream. The patient’s body metabolizes caffeine at a rate of 13% per hour.
a. At 10 p.m., the patient drinks a cup of coffee containing 150 milligrams of caffeine. Will the patient be ready for the blood test by 6 a.m.? Explain.
b. How many milligrams of caffeine could the patient have ingested at 7 p.m. and been ready for the blood test at 6 a.m.?
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Using exponential functions, it is found that:
a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
Caffeine metabolize at a rate of 13% per hour, hence [tex]r = 0.13[/tex].Then:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = A(0)(1 - 0.13)^t[/tex]
[tex]A(t) = A(0)(0.87)^t[/tex]
Item a:
The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
[tex]A(t) = A(0)(0.87)^t[/tex]
[tex]A(8) = 150(0.87)^8[/tex]
[tex]A(8) = 49.2[/tex]
Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering A(11) = 50, hence:
[tex]50 = A(0)(0.87)^{11}[/tex]
[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]
[tex]A(0) = 231[/tex]
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at https://brainly.com/question/25537936
Simplify the radical expression. Select all that apply. (There are two answers I believe) √−36
a. 6
b. -6i
c. 6i
d. -i√6
please dont send links, i will give you brainliest
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HELP ME PLEASE>>>>>>
Answers
Answer:
I think d is the answer......
y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me
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Please help me y’all.
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Step-by-step explanation:
6 > 4x - 5
Bringing like terms on one side
6 + 5 > 4x
11 > 4x
11/4 > x
Option none is the correct answer
Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7
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Answer:
Step-by-step explanation:
Option A
(-2)(-49)
=2×49
=98
Option B
(4)(-27)
=-108
Option C
(-7)(14)
=-98
Option D
(-9)(11)
=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!
what would the equation be?
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Answer:
y = -2x + 30
Step-by-step explanation:
Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30
Brainliest would be appreciated. :-)
I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
Answers
I don't understand the question your asking
please help ASAP!!!
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Answer: y = 115 and x = 78
Step-by-step explanation:
y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x
All I need is the answer Please and thank you
Answers
Should be 40ft. If not, I dearly apologize.
Answer:
40ft tall
Step-by-step explanation:
Hope this helps :)