The height, h, of an object that is thrown upwards into the air can be represented as h = 0.5at2 + v0t + h0, where a represents the acceleration due to gravity (– 32 ft/s)
2), v0 represents the initial velocity, in feet per second, h0 represents the initial height of the object, in feet, and t represents time, in seconds.
Part A:
A ball thrown upwards from the top of a 64–ft high building with an initial velocity of 48
ft/s.Write an equation that could be used to determine the time, t, in seconds, for the ball to reach the ground. Assume ground level is at a height of 0 ft.
Part B:
Determine the time, t, in seconds, that takes the ball to reach the ground and explain how you determined your answer.
Answer:
ok so this awnser is v7a
Step-by-step explanation:
Christia is saving for a new tablet. It costs $90. She has already saved $23. How much more does she need to save?
Write an expression with the variable x:
Solve the equation x=
PLEASE PLEASE PLEASE HELP
Answer:
x < 165
Step-by-step explanation:
Hope this helps :)
Answer:
Inequality: [tex]250\geq s+85\\[/tex]
Solution:[tex]s\leq 165[/tex]
Step-by-step explanation:
The maximum number of students is 250 so the number of students (s) who can still participate plus the number already registered must be less than 250. This can be written as [tex]250\geq s+85\\[/tex].
Form here solve for s by subtracting 85 from both sides.
[tex]250-85\geq s[/tex]
250-85=165
[tex]s\leq 165[/tex]
Eduardo sold half of his comic books and then bought seven more. He now has 20. With
how many did he begin?
Answer:
Hold on i got it
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
26/2=13
13+7=20
I need these correct answers nowww
Answer:
1 - 3/14
2 - 10 5/8
3 - 3/8
4 - 12 1/4
Step-by-step explanation:
numbers 1 and 3 are simple, just multiply the numerators and denominators together.
Numbers 2 and 4, you convert the mixed number to an improper fraction and multiply. Don't forget to switch the answer back to a mixed number if needed!
Step-by-step explanation:
on the picture
I hope it's helpful ❤❤❤
THANK YOU.
help pleasee and thanks
The equation that represents this description is h = 20c + 60 because hours (h) is our dependent variable and cost (c) is our independent variable. Hours (h) is our dependent variable because it depends on how many hours Mr. Z tutors the students. The slope of the function is 20 because that is how much Mr. Z charges to start off. What was this student's mistake? What is the correct equation that represents the description above?
Answer:
c= 20h + 60
Step-by-step explanation:
The correct dependent variable for this equation is "c" cost of Mr Z's tutoring. The independent variable is "h" hours of tutoring. This is because the independent variable h hours should determine the cost of tutoring c. Therefore the equation can be interpreted: if there are h hours of tutoring which cost 20 per hour, total cost is equal c. Also slope of the equation is 20, coefficient of h.
NEED HELP WAITH MATH HOMEWORK ASPA PLZ HELP ME RN thank you
Answer:C
Step-by-step explanation:it says from which means x-axis, (2,-7) moved left and right is (-5,-7) and "x-axis" as well bc the second option for the x coordinate is -7 that take 9 moves and not 7
!!NEED URGENT MATH HELP!! Please help me this is due in like 30 min and I have no idea how to do it. I will name u brainliest and like ur answer and give a 5 stars and try to answer any question you have asked. Please help and ty! :) <3
Answer:
Perpendicular
Step-by-step explanation:
Express as a trinomial (3x+1)(x+9)
Answer:
3x^2+28x+9
Step-by-step explanation:
The polar exhibit at the zoo has only penguins and seals. There are 14 penguins for every 6 seals. What percent of the exhibit is seals?
Answer:
42.85%
Step-by-step explanation:
Given that,
The polar exhibit at the zoo has only penguins and seals. There are 14 penguins for every 6 seals.
The percentage is given by :
[tex]\%=\dfrac{6}{14}\times 100\\\\=42.85\%[/tex]
So, 42.85 % of exhibit are seals.
f/5=-8 that is my question
Answer:
=
−
4
0
Step-by-step explanation:
if you do the math you should get this answer have a great day
Answer:
= -40
Step-by-step explanation:
Sue need to borrow $8000 to purchase a used car. The dealer arranges with a finance company to lend sue the money at 3.6% per year compounded monthly for 3 years.
What is sue’s monthly payment be?
Plz guys help me pass math
Plz answer this last question on my test
Plz show all the working
God bless you brother or sister
Answer ASAP
Answer:
Monthly payment is $247.53
Step-by-step explanation:
Firstly, we need to calculate the total amount to be paid back
we have this by calculating using the compound interest formula;
That will be;
A = P( 1 + r/n)^nt
where A is the amount to be paid back
P is the amount borrowed = $8,000
r is the interest rate = 3.6% = 3.6/100 = 0.036
n is the number of times we are compounding per year; since it is monthly, this is 12
t is the number of months which is 3
Substituting these values, we have
A = 8000( 1 + 0.036/12)^(12 * 3)
A = 8000(1 + 0.003)^36
A = 8000( 1.003)^36
A = $8,910.94
To know the monthly payment, we divide this by the number of months
That will be;
$8,910.94/36
= $247.53
the simple interest on 2.000 for 5 years is $500, then what is the interest rate?
Answer:
5%
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2000 × 0.05 × 5 = 500
I = $ 500.00
The simple interest accumulated
on a principal of $ 2,000.00
at a rate of 5% per year
for 5 years is $ 500.00.
plz help me I dont understand
Answer:the answer is c u can check on a calculator
Step-by-step explanation:
will mark brainliest and 15 points
Solve both for the x and y values to use and graph
2x - 3y = -12
x + y = 9
You don’t need to graph it I just need the x and y and work for both equations.
Step-by-step explanation:
x + y = 9. => 2x + 2y = 18.
2x + 2y = 18
- (2x - 3y = -12)
=> 5y = 30, y = 6.
Therefore x + (6) = 9, x = 3.
The solution is x = 3 and y = 6.
One of the roots of the equation 5x^2-36x+t=0 is five times as big as the other root. Find the value of t.
Answer:
t = 36
Step-by-step explanation:
If you divide the equation by 5, you have ...
x^2 -7.2x +t/5 = 0
The opposite of the sum of the roots is the coefficient of the linear term, so is 7.2. If the roots are "r" and "5r", then their sum is r+5r = 6r, so the value of r is.
7.2/6 = 1.2
The roots are 1.2 and 5·1.2 = 6.
The constant term t/5 is the product of the roots, so ...
t/5 = 1.2 · 6
t = 6·6 = 36 . . . . . multiply by 5
Increase each of the following amounts by the percentage given.
a) 90 by 10%
b) 60 by 25%
c) 80 by 75%
e) 110 by 60%
f) 480 by 115%
g)140 by 45%
Step-by-step explanation:
(a)90 by 10%
90+10% of 90=90(1+0.1)=99
(b)60 by 25%
60(1+0.25)=75
(c)80 by 75%
80(1+0.75)=140
(e)110 by 60%
110(1+0.6)=176
(f)480 by 115%
480(1+1.15)=1032
(g)140 by 45%
140(1+0.45)=203
A system of equations is given below.
y = negative 2 x + one-fourth and y = negative 2 x minus one-fourth
Which of the following statements best describes the two lines?
They have the same slope but different y-intercepts, so they have no solution.
They have the same slope but different y-intercepts, so they have one solution.
They have different slopes but the same y-intercept, so they have no solution.
They have different slopes but the same y-intercept, so they have one solution.
Answer:
B
Step-by-step explanation:
pls help! I need help with a and c I did b already!
Answer:
A= y= -2x+7.
B= y= -[tex]\frac{3}{2}[/tex]x+ 6
Step-by-step explanation:
The linear equation is y=mx+b
A= y= -2x+7.
-2 represents he slope and 7 represents the y intercept.
B= y= -[tex]\frac{3}{2}[/tex]x+ 6
-[tex]\frac{3}{2}[/tex] is the slop and 6 is the y intercept.
Hope this helps :)
NEED HELP!!!
Mental Math Using the slope formula, find the slope of the line through the points (0,0) and
(3,12). Use pencil and paper. Explain how you can use mental math to find the slope of the line,
The slope of the line is . (type an integer or a simplified fraction.)
Answer:
m=y/x
m=12/3
m=4
Step-by-step explanation:
when do you solve for unit rate?
7 grade you learn it I think
Dunno what you mean by the question but I think that's what your asking
A plane flying due west at 120 m/sec is blown due south at 54 m/sec. by a strong wind. Find the plane’s resultant velocity and direction angle as a degree.
velocity = ___ m/sec (round answer to nearest whole number)
Direction angle = ____ ° (round answer to nearest whole number)
Answer:
1) Velocity = 132 m/sec
2) Direction angle = 24° South of West
Step-by-step explanation:
1) The speed with which the plane is flying, [tex]v_{plane}[/tex] = 120 m/sec
The direction in which the plane is flying = Due West
The speed of the blowing strong wind, [tex]v_{wind}[/tex] = 54 m/s
The direction of the strong wind = Due South
The vector form of the given velocities are;
[tex]v_{plane}[/tex] = -120·i
[tex]v_{wind}[/tex] = 54·j
The resultant velocity in vector format, [tex]\underset{\textbf{v}}{\rightarrow}[/tex] is given as follows;
[tex]\underset{\textbf{v}}{\rightarrow}[/tex] = -120·i + 54·j
Therefore, the magnitude of the resultant velocity, [tex]\left |\underset{v}{\rightarrow} \right |[/tex], is given as follows;
[tex]\left |\underset{v}{\rightarrow} \right |[/tex] = √((-120)² + (54)²) = 131.590273197
∴ The magnitude of the plane's resultant velocity, [tex]\left |\underset{v}{\rightarrow} \right |[/tex] ≈ 132 m/sec, when rounded to the nearest whole number
2) The direction angle of the plane's resultant velocity, θ, is given as follows;
[tex]\theta = arctan \left ( \dfrac{\left |v_{wind}\right |}{\left |v_{plane}\right |} \right)[/tex]
Therefore, by substituting the known values, we have;
[tex]\theta = arctan \left ( -\dfrac{54}{120} \right) = -24.227745317954169522385424019918 ^{\circ}[/tex]
∴ By rounding to the nearest whole number, the direction angle of the plane's resultant velocity = θ ≈ -24° = 204° which is 24° South of West.
y
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HANWA
6
5
4
3
2
1
XI
x
-6-5-4-3-2-11 1 2 3 4 5 6
-2
-6-5-4-3-2-1, 1 2 3 4 5 6
-3
2
3
-4
-5
-5
-6
-6
Which algebraic representation matches the reflection above?
O A. (x, y) = (x,y)
B. (x, y) -(-x, y)
OC. (x,y) (x,-))
OD. (x, y) (-X, -y)
The algebraic representation which matches the above reflection is D. (x, y) → (-x, -y).
What is Reflection?Reflection is a type of geometric transformation where the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.
From the graph, it is seen that a quadrilateral is reflected across the Y axis.
Find the corresponding coordinate points of the quadrilateral in order to find the algebraic representation.
From the first figure, consider the vertex point (1, 1).
The corresponding point on the second figure is (-1, -1).
That is, the point (x, y) is changed to (-x, -y).
So the representation is (x, y) → (-x, -y).
Hence the correct algebraic representation is (x, y) → (-x, -y).
Learn more about Reflections here :
https://brainly.com/question/30270479
#SPJ7
Which number line represents x2=16
Answer:
8
Step-by-step explanation:
Well 2x=16 is the same as x=8 when you divide by 2. So the dot should be on 8.
Answer:
8
Step-by-step explanation:
A fruiterer has some apples and pears in the ratio of 2:5. He sold 261 pears and bought 261 more apples. After that, he had as many apples and pears. How many apples did he have at first.
Answer:
The number of apples the fruitier have at first is 348 apples
Step-by-step explanation:
The given parameters are;
The ration of the apples to pears the fruitier has = 2:5
The number of pears he sold = 261 pears
The number of apples he bought = 261 apples
The new ratio of apples to pears the fruitier then has = 1:1
Let 'x', represent the initial number of apples the fruitier has at first, and let 'y', represent the initial number of pears the fruitier has at first
Therefore, we have; x:y = 2:5
x/y = 2/5
∴ 5·x = 2·y
x = 2·y/5...(1)
(x + 261):(y - 261) = 1:1
∴ (x + 261)/(y - 261) = 1
x + 261 = y - 261...(2)
Substituting the value of 'x' from equation (1) in equation (2), gives;
2·y/5 + 261 = y - 261
261 + 261 = y - 2·y/5 = 3·y/5
522 = 3·y/5
∴ y = 5 × 522/3 = 870
The number of pears the fruitier have at first, y = 870 pears
x = 2·y/5 = 2 × 870/5 = 348
The number of apples the fruitier have at first, x = 348 apples.
WILL SOMONE PLEASE HELP ME PLEASE I BEG OF YOU
Answer:
in this question, 67.42 is the answer
Answer:
67.42
Step-by-step explanation:
Hope it works
The slope of the line is 3/4. Find the rise if the run is 8.
Answer: Rise is 6
Step-by-step explanation:
3=rise and 4 is run so if run becomes 8 then rise is 6
Step-by-step explanation:
Slope is defined as rise over run.
[tex]m = \frac{y}{x}[/tex]
if the slope (m) is 3/4, and the rise (y) is 8, you might substitute those values into the equation and solve for x.
[tex]\frac{3}{4} = \frac{8}{x}[/tex]
Ramon earns $1,780 each month and pays $53.30 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Ramon spends ......% of his earnings on electricity each month.
Answer:
3.0%Step-by-step explanation:
Ramon earns $1,780Ramon pays $53.30 on electricity$53.30 of $1780 is:
53.30/1780*100% = 2.9943% = 3.0% roundedAnswer:
3%
Step-by-step explanation:
The first step is to write 53.3 as a fraction of 1780, which is simply
53.3/1780
Now we need to multiply the numerator and denominator of the fraction by 10 to get rid of the decimal
53.3/1780 = 53.3/1780 x 10/10=533/17800
Now we just need to convert this fraction to a percentage :
533/17800 = 2.99438202247191
2.99438202247191 to the nearest tenth simpifies to 3
So, $53.3 is about 3% of $1780
help asap for school