The rocket will take a time of approximately 2.686 seconds to hit the ground.
How much time does a rocket need to hit the ground?
The height of the rocket (h), in feet, is modelled by a quadratic equation, which is used to model free fall motion, that is, the motion of an object solely due to action of gravity. In this problem we must look for the time when the rocket hits the ground:
- 16 · t² + 40 · t + 8 = 0
(t - 2.686) · (t + 0.186) = 0
Only the first root offers a realistic solution, for time is a non-negative variable. The rocket will take a time of approximately 2.686 seconds to hit the ground.
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How do I solve this problem?
6³√/16 + ³√128
Answer:
16∛2
Step-by-step explanation:
It looks like you want to simplify ...
6∛16 +∛128
Simplifying radicalsRadicals are simplified by removing any powers corresponding to the index of the radical. Here, we're taking cube roots, so the expression is simplified by removing cubes from under the radical.
[tex]6\sqrt[3]{16}+\sqrt[3]{128}=6\sqrt[3]{2^3\cdot2}+\sqrt[3]{4^3\cdot2}\\\\=6\cdot2\sqrt[3]{2}+4\sqrt[3]{2}=(12+4)\sqrt[3]{2}\\\\=\boxed{16\sqrt[3]{2}}[/tex]
Can someone explain this to me?
What are the values of c for which f has a removable discontinuity?
1 only
5 only
1 and 7 only
1,5, and 7
Answer:
1 only
Step-by-step explanation:
1 only, as the other points have defined values.
Determine the sign of your answer, then find the sum or difference. (-10)+1
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Looks like you are finding the \boxed{sum} in this question you are \boxed{\rm{adding}} .}[/tex]
[tex]\large\textsf{Now, let us solve for your given equation.}[/tex]
[tex]\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\\\large\textsf{To find the given answer to this equation, you have to START at }\mathsf{-}\textsf{10 \&}\\\large\textsf{go UP 1 space to the right \& you have reached your answers.}\\\\\mathsf{(-}\large\textsf{10})\large\textsf{ + 1}\\\mathsf{= -}\large\textsf{10 + 1}\\\mathsf{= -\large\textsf{9}}\\\\\\\huge\textbf{Therefore, your answer should be:}\\\huge\boxed{\mathsf{-9}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
11
Select the decimal that is equivalent to
44
Choose 1 answer:
0.17
0.17
0.25
0.25
None of the above
Answer: None of the above
Step-by-step explanation:
True or False:
______1. The number of decimal numbers in the product is based on the number of decimal numbers of the factors.
______2. In multiplying with 0.001, move the decimal point to the right 3 times.
______3. Multiplying decimal is almost the same as multiplying whole numbers.
______4. In 3.41 x 1,000, the product is 3,410.
______5. The product of 16.23 and 17.4 is 282.402.
Answer:
Step-by-step explanation:
I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS
Answer:
No
Step-by-step explanation:
The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.
PLEASE HELP!!!! I am stuck on this question and I need help for all three!!!
Answer:
a. (0, -5)
b. (4, -5)
c. (-5, 0)
Step-by-step explanation:
What is the solution set for the following
inequality?
6x +12 ≥ 2x + 10
The altitude of a a in feet of a plain t minutes after lift off is given by a= 3400t + 600 how many minutes after lift off is the plane editive and altitude of 21,000 feet
The plane will be at an altitude of 21,000 feet, 6 minutes after lift off.
For any equation, x = y + a, if we are given the value of any one of the variables, that is either x or y, we can find the value of the other.
Here, we are given an equation
a = 3400t + 600
where a = altitude of the plane in feet
and t = time (in minutes) passed after the plane's lift off
If the altitude of the plane is 21,000 feet
⇒ a = 21,000
Substituting this in the equation, we get
21,000 = 3400t + 600
21,000 - 600 = 3400t
20,400 = 3400t
3400t = 20,400
t = 20,400/ 3,400
t = 204/ 34
t = 6
Thus, the plane will be at an altitude of 21,000 feet, 6 minutes after lift off.
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Ryan has nine 14-ounce bags of popcorn
to repackage and
sell at the school fair.
A small bag holds 3 ounces. How many
small bags can he make?
(2thousands 7 tens) multiple by 10
Answer:
207 2 hundreds seven ones
Step-by-step explanation:
PLS HELP -8+13+(-13)!!!!
Answer:
-8
Step-by-step explanation:
Given the following question:
-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8
Hope this helps.
Hello..!
[tex] \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}[/tex]
[tex] \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}[/tex]
First, to solve the problem we take into account the Law of Signs:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - [/tex]
Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}[/tex]
Then we must subtract knowing that when there is a minus and a plus it is automatically minus
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}[/tex]
Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}[/tex]
¿Doubts? in the comments
You are buying a new car. There are 7 body styles, 3 colors, and 7 models. How many different choices of car are there?
Answer:
147 different choices.
Step-by-step explanation:
(7)(3)(7) = 147
Hope this helps
I’ll give brainless to the right answer
Answer:
I think it's the Distributive Property
Step-by-step explanation:
I think it's this because in order to get the parentheses out you have to multiply by the outside number.
5(x+2) and get 5x+10
4. Michelle and Joyce had an equal number of stickers.
After Michelle gave away 8 stickers to her sister and
Joyce bought twice as many stickers as what she had at first,
Joyce had 4 times as many stickers as Michelle.
How many stickers did Joyce buy?
As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
As given in the question,
Let x represents the number of Michelle stickers
and y represents the number of Joyce stickers
As per given condition,
Michelle and Joyce had an equal number of stickers
x =y __(1)
Joyce bought twice she had at first and had 4 times as many stickers as Michelle
2y = 4(x-8) __(2)
From (1) and (2) ,
2y = 4 ( y-8)
⇒ 2y = 4y -32
⇒4y -2y = 32
⇒ 2y = 32
Therefore, as per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
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Answer:
As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
Step-by-step explanation:
The perimeter of the school crossing sign is 102 inches. What is the value of s ?
Equation:
= 102
S =
What is the length of each side? Label the length of each side in inches.
2s-
Answer:
The value of s is 15
Step-by-step explanation:
so first you count all the sides and add them up
s+6+s+6+s+2s+s=102
6s+12=102
6s=90
s=15!!
After that you plug that into to the equations for the answer.
Hope this helps!
Sixteen participants pre-registered for a workshop that had a total of 30 participants.
Approximately what percentage of all participants pre-registered for the workshop? A 1.9% B 5.3% C 18.8% D 53.3%
Answer: D
Step-by-step explanation:
16/30 x100= 53.3%
I need help with number 5
For which equations below is x = -3 a possible solution? Select three options
x = -3 a possible solution for |x| = 3, |–x| = 3 and –|x| = –3.
Here, we are given 6 equations and we need to check for which of the following, x = -3 is a solution.
Let us look at each equation one by one,
1. |x| = 3
if x = -3
|-3| = 3
3 = 3
Hence, -3 is a solution to this equation.
2. |x| = –3
if x = -3
|-3| = -3
3 ≠ -3
Hence, -3 is not a solution to this equation.
3. |–x| = 3
if x = -3
|3| = 3
3 = 3
Hence, -3 is a solution to this equation.
4. |–x| = –3
if x = -3
|3| = -3
3 ≠ -3
Hence, -3 is not a solution to this equation.
5. –|x| = –3
if x = -3
-|3| = -3
-3 = -3
Hence, -3 is a solution to this equation.
4. –|x| = 3
if x = -3
-|3| = 3
-3 ≠ 3
Hence, -3 is not a solution to this equation.
Thus, equations |x| = 3, |–x| = 3 and –|x| = –3 are correct.
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Your solution was incomplete. Check for full content below-
For which equations below is x = –3 a possible solution? Check all that apply.
|x| = 3
|x| = –3
|–x| = 3
|–x| = –3
–|x| = –3
–|x| = 3
It costs $0.50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15’ x 24’? A. $6.67 B. $18.00 C. $20.00 D. $180.00
The cost to waterproof a canvas truck cover that is 15’ x 24 will be D. $180.
How to calculate the cost?It should be noted that from the information, it costs $0.50 per square yard to waterproof canvas.
Therefore, the cost to waterproof a canvas truck cover that is 15’ x 24 will be:
= 15 × 24 × $0.50
= $180.00
In conclusion, the correct option is D.
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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive
by combining partial samples of different blood specimens. If samples from four people are combined and the
mixture tests negative, we know that all four individual samples are negative. Find the probability of a
positive result for four samples combined into one mixture, assuming the probability of an individual blood
sample testing positive for the virus is 0.09
Answer:
0.246
Step-by-step explanation:
p(virus) = 0.09
= 1-p(none test positive)
=1-(1-0.09)^3
=1-0.91^3
=0.246
MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 to rent shoes and $4.50 per game. a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B? Bowling alley A: ___ or more games. Bowling alley B: ___ or___ games .
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.
The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
How to solve inequality word problems?Bowling alley A;
Their charges per game is $4 per game
Charges to rent shoes is $3.75
If number of games is x, then we have;
Total Cost = 3.75 + 4x
Bowling alley B;
Their charges per game is $4.50 per game
Charges to rent shoes is $2.50
If number of games is x, then we have;
Total Cost = 2.5 + 4.5x
Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;
2.5 + 4.5x > 3.75 + 4x
Rearrange to get like terms gives;
4.5x - 4x > 3.75 - 2.5
0.4x > 1.25
x > 1.25/0.4
x > 3.125
Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
B) Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;
3.75 + 4.5x > 2.5 + 4.5x
This means that the total cost will now always be greater at Bowling alley A
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PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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a restaurant offers a $12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
a meanl can be chosen __ ways
a meal can be chosen is 546 different ways.
Divide 38 in two parts such that one part is 18 more than the other
Answer:
10 and 28
Step-by-step explanation:
let x be one number then the other is x + 18 ( 18 more than the other ), then
x + x + 18 = 38
2x + 18 = 38 ( subtract 18 from both sides )
2x = 20 ( divide both sides by 2 )
x = 10
and x + 18 = 10 + 18 = 28
the 2 numbers which divide 38 into the 2 parts are 10 and 18
describe a sequence of transformation that takes abcd to a'b'c'd'
The quadrilateral A'B'C'D' is the result of reflecting and translating the quadrilateral ABCD.
What kind of rigid transformations were done to transform ABCD to A'B'C'D'?
In this problem we find a representation of a quadrilateral and its image on a Cartesian plane. That image is the result of the following rigid transformations, that is, transformations applied on geometric loci such that Euclidean distance is conserved at every point of the locus.
After a careful inspection, we find that the following two rigid transformations were done:
Reflection about the x-axis.Translation 7 units in the + x direction.Now let is prove this steps:
Given: A(x, y) = (- 5, - 7), B(x, y) = (- 5, - 2), C(x, y) = (- 3, - 4), D(x, y) = (- 3, - 7)
Reflection:
A''(x, y) = (- 5, - 7) + (0, 14)
A''(x, y) = (- 5, 7)
B''(x, y) = (- 5, - 2) + (0, 4)
B''(x, y) = (- 5, 2)
C''(x, y) = (- 3, - 4) + (0, 8)
C''(x, y) = (- 3, 4)
D''(x, y) = (- 3, - 7) + (0, 14)
D''(x, y) = (- 3, 7)
Translation
A'(x, y) = (- 5, 7) + (7, 0)
A'(x, y) = (2, 7)
B'(x, y) = (- 5, 2) + (7, 0)
B'(x, y) = (2, 2)
C'(x, y) = (- 3, 4) + (7, 0)
C'(x, y) = (4, 4)
D'(x, y) = (- 3, 7) + (7, 0)
D'(x, y) = (4, 7)
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Solve for f can somebody help
Answer: f < 9
Step-by-step explanation:
first, cross multiply 2 and 2:
f - 5 < 4
f < 9
Answer:
f < 9
Step-by-step explanation:
=> (f-5)/2 < 2
multiplying both sides by 2
=> 2(f-5)/2 < 2×2
=> f-5 < 4
adding 5 to both sides
=> f-5+5 < 4+5
=> f < 9
Help plss
If m/ABF = 8w - 6 and m/ABE = 2(w + 11), find m/EBF.
B
ㅏ
Answer:
∠ EBF = 47°
Step-by-step explanation:
since BE bisects ∠ ABF , then
∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22
∠ ABF = ∠ ABE + ∠ EBF ( substitute values )
8w - 6 = 2w + 22 + 2w + 22
8w - 6 = 4w + 44 ( subtract 4w from both sides )
4w - 6 = 44 ( add 6 to both sides )
4w = 50 ( divide both sides by 4 )
w = 12.5
Then
∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°
HELP WITH MATH INDUCTIVE OR DEDUCTIVE PLEASE
"Anyone who protrices a hocethorn will be dribbed. Steve was not
dribbed. Therefore, he did not protrice a hocethorn."
O Invalid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Valid. The inner circle is those who are dribbed, and the outer circle is those
who protrice a hocethorn.
O Invalid. The inner circle is those who protrice a hocethorn, and the outer
circle is those who are dribbed.
O Valid. The inner circle is those who protrice a hocethorn, and the outer circle
is those who are dribbed.
Answer: Choice D
Valid. The inner circle is those who protrice a hocethorn, and the outer circle is those who are dribbed.
=======================================================
Explanation:
Refer to the diagram below. It's a visual representation of what choice D is describing.
The "protrice a hocethorn" circle is denoted as "circle P" or simply "P" for short. While circle D refers to those who are dribbed.
If we throw a dart randomly at the inner circle, then we always will land in the outer circle. This is because the inner circle is completely contained within the outer circle. The inner circle is a subset of the outer circle.
If you land in circle P, then you land in circle D.
But Steve did not land in circle D (premise 2). This must mean he could not possibly have landed in circle P.
This is how we reach the conclusion that he did not protrice a hocethorn
For more information, check out the modus tollens rule. Some logic textbooks may refer to it as "denying the consequent".
----------------------------
Here's another example of modus tollens
Premise 1: "If it rains, then the grass gets wet"Premise 2: "The grass did not get wet"Conclusion: "Therefore, it did not rain"We can think of the events "it rains" and "the grass got wet" as two dominoes. If the second domino did not fall over, then there's no way the first one did. This is because first one topples the second.
I need help on question 1-6 please
Ill mark brainlist
Answer:
1: 7.2 2: 2012 3: 2014 and 2015 4: 2011 5: 6.6 6:1
Step-by-step explanation:
I don't have time to explain.
It just is.