The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
The water balloon follows a path such that it makes half parabola.
From the graph:
At x = 0
Height(h) = 64 feet
Which is the maximum height of the water balloon.
After t = 2 seconds
The water balloon hits the ground
The correct options are:
The maximum height of the water balloon occurs at x = 0. The water balloon is in the air for 2 s. The maximum height of the water balloon is 64 ft.Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
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is the anwers to 4,690 × 141 going to be even or odd
Answer:
661290
Step-by-step explanation:
even number ........
when nicky tried to solve an equation using properties of equality, she ended up with the equation -3=-3. what equation mioght she have tried to solve? what is the solution of the equation?
Answer:
2(x - 1) - 1 = 3(x + 1) - 6 - x
There are infinitely many solutions.
Step-by-step explanation:
Equations
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
Scores on a recent ACT test yielded mean 20.9 and standard deviation 4.7. find the probability that a random sample of 32 test scores had a mean below 20.
a) .1914
b) .5753
c) .8599
d) .4247
e) .1401
Answer:
E. 0.1401
Step-by-step explanation:
The mean here has been given as 20.9
The standard deviation sd = 4.7
Random sample n = 32
Sd/√n
= 4.7/√32
= 0.8309
Probability of x less than 20
= 20-20.9/0.8309
= -0.9/0.8309
= -1.083
P(z<-1.083)
When we go to the z table
= 0.1401
Therefore the probability is 0.1401 and the answer to this question is E.
describe the relationship between the similarity ratio of two triangles and the ratio of their areas. help plz
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?
Answer:
34%
Step-by-step explanation:
The percent of increase in the number of students at the workshop is 15%.
Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.
What is percentage increase formula?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Here, initial value = 120 students and final value = 138 students.
Difference in value = Final value - Initial value
=138-120=18
Percentage of increase = [tex]\frac{18}{120}\times 100[/tex]
= 15%
Therefore, the percent of increase in the number of students at the workshop is 15%.
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cark earned grades of 62, 78, 59, and 89 on four tests.
what is the mean of his grades
Answer:
72
Step-by-step explanation:
mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.
i think the answer is 579
What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?
Answer
Y-5=-8/5 (x+3)
Answer:
Y-5=-8/5 (x+3)
Step-by-step explanation:
Answer:
Y-5=-8/5 (x+3) good luck
if m=3 and n=-4 calculate the value of mn +n²
Answer:
28
Step-by-step explanation:
-4×-4=16
3×4=12
12+16=28
The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?
I. If m > n the absolute value of the function approaches positive infinity as x gets very large.
II. If m < n the value of the function approaches zero as x gets very large.
III. If m = n the value of the function approaches a constant as x gets very large.
Answer:
g
Step-by-step explanation:
x goes to f m to 5 :-)
What is the partial fraction decomposition of 7x^2-6x+9/3x(4x^2+9)
Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)
The form of the partial fraction decomposition is
x+7(x+1)(x+2)=Ax+1+Bx+2
Write the right-hand side as a single fraction:
x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)
The denominators are equal, so we require the equality of the numerators:
x+7=(x+1)B+(x+2)A
Expand the right-hand side:
x+7=xA+xB+2A+B
Collect up the like terms:
x+7=x(A+B)+2A+B
The coefficients near the like terms should be equal, so the following system is obtained:
{A+B=12A+B=7
Solving it (for steps, see system of equations calculator), we get that A=6, B=−5
Therefore,
x+7(x+1)(x+2)=6x+1+−5x+2
Answer: x + 7x\textasciicircum{2} + 3 x + 2=6x+1+−5x+2
Richard is walking around her neighborhood. If he walks
1
3
mile in
1
6
hour, how fast is Richard walking, in miles per hour?
Answer:2 miles per hour
Step-by-step explanation:
1/3 times 6
To determine how fast is Richard walking, the concept of average speed comes into picture. The average speed of Richard is 2 miles per hour. Therefore the correct option is option B
What is Average speed?Average speed can be calculated by dividing total distance traveled by a body to the total time taken for the body to reach its destination.
Now determine how fast is Richard walking, in miles per hour
We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time
Total distance traveled by Richard = 1/3 mile
Total time taken = 1/6 hour
Average speed = total distance / total time
Average speed = (1/3) / (1/6)
Reciprocal the denominator term, and we get
Average speed = (1/3) × 6
Average speed = 2 miles per hour
Therefore, Richard is at an average speed of 2 miles per hour
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Can you guys please help! I need the help ASAP I only have 10 minutes
Answer:
i think it jkme
Step-by-step explanation:
How would you write 0.7 repeated as a fraction
Answer:
7/9
Step-by-step explanation:
7/9 = 0.777777777777777777...
0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].
What are Fractions?Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.
Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.
Fractions can be simplified as decimals.
We have to find the fraction representing the number 0.7 repeated.
0.7 repeated is actually the number 0.77777.....
The quotient of 5/8 = 0.625
The quotient of 6/7 = 0.857...
The quotient of 7/9 = 0.777.......
The quotient of 7/100 = 0.07
So, the quotient of 7/9 is the required number.
Hence the fraction which on simplification gives 0.7 repeated is 7/9.
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please helppp .......Convert 3/7 into a decimal. Round to the nearest hundredth.
0.4286 is not rounded to hundredth rounded is 0.44
I think the answer is 0.43
HELP ASAP PLS I DONT UNDERSTAND IM GIVING 15 POINTS AND ILL GIVE BRAINLIEST TO WHOS RIGHT
Answer:
(1.5, -2.5)
Step-by-step explanation:
Mate, I think you best get to studying, plotting coordinates are the fundamentals of algebra and euclidean geometry.
Anyways, (x, y). When you replace the variables, you determine the coordinates are (1.5, -2.5).
Answer:
C, 1.5, -2.5
Step-by-step explanation:
Count the lines between each axis to figure out the coordinates. If the point is in between a line, it is a half.
Write this number in expanded form 36.91
Answer:
30+6+0.9+0.01 =36.91
Step-by-step explanation: Here ya go ;>
Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of six or more, 18% tip is automatically added in. What is the total cost of the meal, including tip?
Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80
pls help i need help :D
Answer:
[tex]\frac{2808}{3125}[/tex]
Step-by-step explanation:
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
The data set shows the numbers of flowers that students on a field trip correctly identified. What is the mode of the data set? 0 7 3 9 5 0 10 5 8 6
Answer:
The mode is the value that appears most frequently in a data set
Step-by-step explanation:
so it will be 0 and 5
Answer:
0 and 5
explanation:
5/8 didved by 1/4 plz help me with this
Answer:
The answer is 2.5 or 5/2 as a fraction.
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
2.5
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex]
turns into
[tex]\frac{5}{8}[/tex] ×[tex]\frac{4}{1}[/tex] = [tex]\frac{20}{8}[/tex]
and 20/8 as a decimal is 2.5 :) hope this helps!
Emily is at the grocery store and plans on buying cans of soup and frozen dinners, but is concerned about their sodium content. Each can of soup has 400 mg of sodium and each frozen dinner has 250 mg of sodium. How many milligrams of sodium are there in 2 cans of soup and 5 frozen dinners? How many milligrams of sodium are there in cc cans of soup and ff frozen dinners
Answer:
20
Step-by-step explanation:
hii pls answer as quickly as possible i will give you the brainliest :))
Answer:
sorry
Step-by-step explanation:
I really don't know answer
Christopher has breakfast at a cafe and the cost of his meal is $36.00 Because of the service, he wants to leave a 10% , percent tip.
the answer is 39.60
Solve the equation using the distributive property and properties of equality. 1/2x(X+6)= 18
What is the value of x?
Answer:
x equals to 4
Step-by-step explanation:
because x is a coefficient of the bracket
Help out pleaseeeeeeeeeeeeeeeee
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second order?
A. 10x + 18
B. 4x + 8
C. 21x + 65
D. 10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars?
Answer:
B
11 dollars
Step-by-step explanation:
7x+13 is the sum of the two order
you know that one order is 3x+5, so if you subtract it from the total you get the other order
7x+13-(3x+5) =7x+13-3x-5 = 4x+8
if he spent 90 dollars in total then we can say that
7x+13 = 90
7x=77
x=11
11 dollars per box
Step-by-step explanation:
I need help asap ill give BRAINLIEST
Answer:
Concept: Basic Mathematics
1.3 18-14Answer:
1.3
18
-14.....................
Which unit rate is the lowest price per ounce out of 25 ounces of potato chips fo 3.49$ or 45 ounces of potato chips for 4.79$
Answer: choice A : 3.49/25 = 0.139 rounds to 14 cents per oz
choice B ; 4.79/40 = 0.119 rounds to 12 cents per oz. lowest price is choice B