Boubacar launches a toy from a platform. The graph below shows the height of the rocket ‘h’ in feet after ‘t’ seconds. What is the rocket’s initial height?
Answers
The initial height of the rocket is 264 feet
From the given graph
The height of the rocket is h is feet and time taken t is in seconds
The graph is defined as the pictorial representation of the mathematical equation or function.
The x axis of the graphs represents the Time in seconds
The y axis of the graph represents the height of the rocket h in feet
From the graph we can say that
At t = 0, the value of h = 264 feet
That means the height of the rocket is 264 feet when the time t = 0
Hence, the initial height of the rocket is 264 feet
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Related Questions
2. Janet earns money making candles. From every candle she sells, she earns $4.18. How
much money would she earn if she sold 57 candles?
Answers
Answer:
$238.26
Step-by-step explanation:
Answer any of these two! If you can answer both I could possibly give you brain^^ THANK YOU
Answers
Answer:
12. [tex]\frac{1}{z^{2} }[/tex]
13. x⁶
Step-by-step explanation:
*Note: When multiplying two of the same variables you add the exponents. When dividing two of the same variables you subtract the exponents. When a variable to a power is raised to another power you multiply the exponents.
[tex](z^{6} z^{-5} )^{-2}[/tex]= [tex](z^{6+(-5)} )^{-2}[/tex]= [tex](z^{6-5} )^{-2}[/tex]= [tex](z^{1}) ^{-2}[/tex]= [tex]z^{1*-2}[/tex]= [tex]z^{-2}[/tex]= [tex]\frac{1}{z^{2} }[/tex]*Note: When there is a negative exponent the whole term is flipped (the reciprocal of the term).[tex]\frac{1}{x^{-6} }[/tex]= x⁶A survey of 25 people was conducted to determine their favorite color. 13 people like Red, 8 people like blue and 13 people like yellow. 5 people like both Red & Blue, 4 people like both Blue & yellow, 7 people like both Red & yellow and 2 people like all three colors.
Question: How many did not like any of the three colors?
Answers
The number of people who do not like any of the three colour is 5, using the set theory.
What is Set theory?
A subfield of mathematics called set theory studies sets and their characteristics. Set theory's fundamental ideas are straightforward and seem to stand on their own. The set theory appears to be straightforward, but it is actually a very complex topic. Mathematicians have specifically demonstrated how almost all mathematical ideas and conclusions may be formalized within the theory of sets. This is regarded as one of the pinnacles of contemporary mathematics. Given this accomplishment, it is possible to assert that set theory serves as the foundation for mathematics.
In the given question, we have:
Total number of people in the survey = 25;
Number of people like red = 13;
The number of people who like blue = 8;
The number of people who like yellow = 13;
5 people like both Red & Blue,
4 people like both Blue & yellow,
7 people like both Red & Yellow
2 people like all three colors.
Let n be the number of people who do not like any of the three colour.
Using the concept of set theory, we can write it as:
3 + 4 + 1 + 5 + 2 + 3 + 2 + n = 25;
⇒20 + n = 25;
n = 25 - 20
n = 5;
Hence, The number of people who do not like any of the three colour is 5;
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Answers
The equations that are true for x = –2 and x = 2 include the following:
x² – 4 = 0
4x² = 16
How to determine the true equations?In order to determine which x-values are true solutions based on the given equations, we would have to test each of the x-values by substituting their values into the equations as follows;
When x = -2, we have:
x² – 4 = 0
(-2)² – 4 = 0
4 - 4 = 0 (True).
When x = 2, we have:
x² – 4 = 0
(2)² – 4 = 0
4 - 4 = 0 (True).
When x = -2, we have:
x² = -4
(-2)² = -4
4 = -4 (False).
When x = -2, we have:
3x² + 12 = 0
3(-2)² + 12 = 0
3(4) + 12 = 0
12 + 12 = 0
24 = 0 (False).
When x = -2, we have:
4x² = 16
4(-2)² = 16
4(4) = 16 (True).
When x = 2, we have:
4x² = 16
4(2)² = 16
4(4) = 16 (True).
When x = -2, we have:
2(x – 2)² = 0
2(-2 – 2)² = 0
2(-4)² = 0
2(16) = 0
32 = 0 (False).
When x = 2, we have:
2(x – 2)² = 0
2(2 – 2)² = 0
2(0) = 0 (True).
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Complete Question;
Which equations are true for x = –2 and x = 2? Select two options
x² – 4 = 0
x² = -4
3x² + 12 = 0
4x² = 16
2(x – 2)² = 0
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answers
The equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.
What is the standard form of the equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.
We have given that circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.
Since we know that circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.
Thus, the equation of the circle, with a diameter of 12 units is;
x² + (y - k)² = 6², or,
x² + (y - k)² = 36.
From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are correct.
Thus, the equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.
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A fruit punch has a ratio of 2 cups of powder mix for every 5 gallons of
water.
Represent the ratio relationship using a graph.
How many cups of powder mix are used with 9 gallons of water?
HELLLLPSSS PLEASE LAST SECOND
Answers
Answer:
3.6 cups
Step-by-step explanation:
We have to make a proportion to solve this.
[tex]\frac{2cups}{5 gallons}[/tex] = [tex]\frac{x cups }{9 gallons}[/tex]
9 x 2 = 18
18 / 5 = 3.6.
Please help!!! Will give Brainliest to the first person that answers!
Answers
Answer:
Below
Step-by-step explanation:
m = motorcylce speed
c = car speed = 2m-30
difference in speeds = 2m-30 - m = m-30
in two hours this speed accumulates 20 miles (rate * time = distance)
2 (m-30) = 20
2m - 60 = 20
m = 40 then c = 2m-30 = 50 mph
Please help me Thank you :)
Answers
Answer:
3
Step-by-step explanation:
y difference is 9 and x difference is 3 so 9/3 = 3
Answer:
slope = 3
Step-by-step explanation:
(2, 7), (5, 16)
(x₁, y₁) (x₂, y₂)
m = slope
y₂ - y₁ 16 - 7 9
m = ------------ = ----------- = ------- = 3
x₂ - x₁ 5 - 2 3
I hope this helps!
Write equations for a pair of perpendicular lines that intersect at the point at (-3, -7)
Answers
Equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :
( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )
As given in the question,
Pair of equations that are perpendicular to each other and intersect at point ( -3 , -7 ) are as follow:
let us consider slope of perpendicular lines are m₁ and m₂.
Product of the slope of perpendicular lines = -1
⇒ m₁ × m₂ = -1
⇒ m₂ = -1 / m₁
Pair of perpendicular intersect at point ( -3 , -7 ) .
Required equation of perpendicular lines is given by :
For line 1:
( y - (-7)) / ( x - (-3) ) = m₁
⇒ y + 7 = m₁ (x+3)
For line 2:
( y - (-7)) / ( x - (-3) ) = m₂
⇒ y + 7 = m₂( x+ 3)
⇒ y + 7 = -1 / m₁ ( x+ 3)
Therefore, equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :
( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )
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The vet says that Lena's puppy will grow to be at most 20 inches tall. Lena's puppy Is currently 1 foot tall.
How many more inches will the puppy grow?
Answers
Answer:
8 inches
Step-by-step explanation:
1 foot is 12 inches
20 - 12 = n
n = 8
Answer: The correct answer is 8 more inches.
Step-by-step explanation:
The puppys' current height is 12 inches (1 foot)
The vet's advised maximum height is 20 inches
Difference in height = 20 - 12 = 8 inches
Which of the following shows an example of the identity property of 0?
O 3.5+ 3.5 = 7
○ 4.8+(-4.8) = 0
O 0+ (8.2) = -8.2
O-1.6+ 3.2 = 1.6
Answers
Model−−−−−: P=2,320(1.2)x
The model is used to estimate the deer population in a region, where x is the number of years after the year 2009. Using the model, estimate the deer population in the year 2018
Answers
The population of the deer in year 2018 would be 11971.
Given,
In the question:
The model is used to estimate the deer population in a region, where x is the number of years after the year 2009. Using the model, estimate the deer population in the year 2018
Model is given as:
P = 2,3201 [tex](1.2)^x[/tex]
Now, According to the question:
The number of years from 2009 to 2018 = 9
Here, the equation that shows the deer population after x years since 2009,
P = 2,3201 [tex](1.2)^x[/tex]
Substitute x=9 in the above equation,
P = 2,3201[tex](1.2)^9[/tex]
P = 2320(5.15978)
P ≈ 11971
Hence, the population of the deer in year 2018 would be 11971.
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In the past, Jessica got paid $197,980 annually. Since switching to a new career, she has been making 35% more. How much does Jessica make now?
$
pwease
Answers
Answer:
$267,273
Step-by-step explanation:
197980 + .35(197980)
197980 + 69293
267273
Which statement about odd functions is correct?
Answers
Answer:
at least put the possible answers
Yellow and red dye are mixed in a 9 : 2 ratio
to make 44 litres of an orange-coloured dye.
A further 8 litres of red dye are added to the
mixture. What is the new ratio of yellow to red
dye in its simplest form?
Answers
Answer:
9 : 4
Step-by-step explanation:
Ratio:
Find the quantity of yellow and red dye in the mixture.
Yellow : Red = 9 : 2
Total share = 9 + 2 = 11
[tex]\sf \text{Quantiy of yellow} = \dfrac{9}{11}*44[/tex]
= 9 * 4
= 36 litres
[tex]\sf \text{Quantity of Red}= \dfrac{2}{11}*44[/tex]
= 2 * 4
= 8 litres.
Now, 8 litres of red dye is added.
New quantity of red dye = 8 + 8 = 16 liters.
New ratio of Yellow to red = 36 : 16
= (36÷4) : (16÷4)
= 9 : 4
You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $36, otherwise, you lose $30. What is your expected value for the game?
Answers
In rolling a single die, there are 6 possible outcomes. To win, there are two possible outcome making the probability equal to 2/6. Moreover to loss, there are 4 possible outcomes, making the probability equal to 4/6.Calculating the cost,
(2/6)($36) - (4/6)($36) = -12
Thus, the expected value of the game is $-12.
Find the value of Z such that 0.13 of the area lies to the right of Z
Answers
Answer:
the answer will be : 1.13
13. Is the function y = 2x a one-to-one function? Justify your answer.
ation becaus
Answers
Answer:
yes
Step-by-step explanation:
every x value will have at lest one y value
Given m||n, find the value of x.
Answers
Answer:
x = 17
Step-by-step explanation:
(5x - 23) and (7x - 1) are same- side interior angles and sum to 180° , so
5x - 23 + 7x - 1 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
PLEASE HELP ASAP I ONLY HAVE 2 ATEMPTS LEFT
Make sure your answers are in slope intercept form (y=mx+b). NO SPACES, negatives are ALWAYS displayed in for of your number (ex: -1/2). ALWAYS SIMPLIFY!
You have made 8 of 10 attempts. You have 2 attempts remaining.
Answers
Answer:
y=-3/5x+1
Step-by-step explanation:
we use slope formula y2-y1/x2-x1
4-1/-5-0
3/-5
-3/5
Is the slope
The y intercept is 1
So we write like this
y=-3/5x+1
Hopes this helps please mark brainliest
A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle.
3
36
square root of 39
square root of 43
Answers
The length of the other leg of the right triangle is square root of 43
How to find the length of the other leg of the right triangle?
Given:
A leg length = square root of 6
Hypotenuse length = 7
Let the length of the other leg of the right triangle be y
The diagram of the triangle is as shown in the image attached
Using Pythagoras' theorem:
7² = (√6)² + y²
y² = 7² - (√6)²
y² = 49-6
y² = 43
y = √43
Therefore, the other leg is square root of 43. The 4th option is the angle
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Answer:
D = 43
Step-by-step explanation:
I got it right on my test!
Have a great day everyone:)
A commuter plane can carry 50 people per trip. At least How many times does the plane have to fly in order to carry 25,000 people? Identify the variable and answer the question. Please give details on how to set up problem. Thanks
Answers
Answer:
Step-by-step explanation:
First, since 50 people can go per trip and the plane wants to fly a lot of times to carry 25,000 people.
Second, then you have to do 25,000/50
Thirdly, you have to find the awnser
AWNSER=500
1)if a number is trebled and 10 is subtracted from it and then multiply the result by 5 the answer is 55 what is the number
Answers
The number represented in the statement is 7
How to determine the number?The statements in the question can be highlighted as:
A number is trebled10 is subtracted from the resultThe result is then multiplied by 5The final result is 55When represented as an equation, we have
5(3x - 10) = 55
Where x represents the number
Divide both sides by 5
3x - 10 = 11
Add 10 to both sides
3x = 21
Divide by 3
x = 7
Hence, the result is 7
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UP FOR THE CHALLENGE?! PLEASE HELP!
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 110.5° is added to the data, how does the mean change and by how much?
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 101° is added to the data, how does the mean change?
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 71° is changed to 93°, which of the following measures changes the most and what is the new value?
Answers
Answer:50%
Step-by-step explanation:
Carlos is making goodie bags for a party. Every goodie bag has exactly the same treats in it. Carlos has 96 granola bars and 48 small popcorn balls. What is the greatest umber of identical goodie bags Carlos can make? How many of each kind of treat is in each goodie bag?
Answers
The greatest number of identical goodie bags Carlos can make is 48.
Therefore will be 2 granola bars and 1 popcorn balls in each bag.
How to calculate the value?From the information, Carlos is making goodie bags for a party and every goodie bag has exactly the same treats in it.
Carlos has 96 granola bars and 48 small popcorn balls. It should be noted that the greatest common factor between 96 and 48 is 48.
Therefore, granola bars will be:
= 96/48
= 2 in each bag
Popcorn will be:
= 48/48
= 1 in each bag.
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t is the solution to the linear equation?
x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x
Answers
The solution for the linear equation:
x - (2/3)*x - (1/2) = (1/3) + (5/6)*x
Is x = -5/3
How to solve the linear equation?Is hard to understand what you wanted to write, but I assume that the linear equation that we need to solve is:
x - (2/3)*x - (1/2) = (1/3) + (5/6)*x
To solve this linear equation, we need to isolate the variable x in one of the sides of the equation
To do so, we move all the terms with "x" to the left side and the terms without to the right side:
x - (2/3)*x - (5/6)*x = 1/3 + 1/2
Now we solve this:
x - (4/6)x - (5/6)x = 2/6 + 3/6
x - (9/6)*x = 5/6
We can write the "1" in the first term as 6/6
(6/6)*x - (9/6)*x = 5/6
(-3/6)*x = 5/6
-3x = 5
x = 5/-3
x = -5/3
That is the solution of the linear equation.
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answers
Answer:
10
Step-by-step explanation:
I guess your question is
[tex] {(x - 3)}^{2} = 49[/tex]
[tex]x \: - 3 = \sqrt{49} \\ x - 3 = 7 \\ x = 7 + 3 \\ x = 10[/tex]
Mara's age is 5 less than four times Brandy's age. Let x represent Brandy's age, and let y represent Mara's age. Which ordered pair (x, y) makes the equation y = 4x − 5 true?
Answers
The ordered pair that made the equation, y = 4x - 5 correct is (5, 15).
How to find ordered pair from a linear equation?Mara's age is 5 less than four times Brandy's age. Let x represent Brandy's age, and let y represent Mara's age.
Therefore, the ages can be represented linearly as follows:
y = 4x - 5
where
x = Brandy's agey = Mara's ageTherefore, the ordered pair (x, y) that makes the equation correct can be computed as follows:
y = 4x - 5
y = 4(5) - 5
y = 20 - 5
y = 15
The ordered pair is (5, 15)
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what is the greatest comman facter of 2 and 3
Answers
Find the area of this parallelogram
Answers
Answer:
84unit square
Step-by-step explanation:
how many years do I need the 3
The answer is: " 84 cm² " ; or, write as: " 84 square centimeters."
____
Step-by-step explanation:
Note the formula for the area; "A" ; of a parallelogram—as follows:
A = b * h ;
in which:
A = the Area of this parallelogram given in the attached image;
for which we shall solve; in units of: cm² ;
or, write as: " square centimeters "
→ {since all the measurements shown in the image are in units of:
"cm" ["centimeters"].}
____
b = " base length " = 12 cm {as shown in the image};
____
h = " perpendicular height " = 7 cm {as shown in the image} .
____
To find the area; A :
We plug our given values into the equation/formula:
→ A = b * h ;
= (12 cm) * (7 cm) ;
= 12 * 7 * cm * cm ;
A = 84 cm² .
_____________
Note of interest: The following quadrilaterals are also parallelograms:
squares, rectangles, and rhombuses [or, "rhombi"].
_____________
The answer is: " 84 cm² " ; or, write as: " 84 square centimeters."
___
Hope this is helpful to you.
Wishing you well in your academic endeavors!
___