how long will it take a shelf fired from a cliff at an initial velocity of 800 metres per second at an angle of 30 degree below the horizontal to reach the ground 150 metre belowJason control rules of baseball with the horizontal component of velocity of 25 metres per second
0.373 seconds. First, calculate the initial vertical velocity of the shell. 800sin(30) = 800*0.5 = 400 m/s Now the formula for the distance traveled is d = 400 m/s * T + 0.5A T^2 Substituting known values gives. 150 = 400 m/s * T + 0.5*9.80m/s^2 T^2 150 = 400 m/s * T + 4.9 m/s^2 T^2 Arrange as a quadratic formula 0 = 400 m/s * T + 4.9 m/s^2 T^2 - 150 4.9 m/s^2 T^2 + 400 m/s * T - 150 = 0 Now solve for T using the quadratic formula with a=4.9, b=400, and c=-150 The calculated value is 0.373 seconds. Is this value reasonable? Let's check. The initial downward velocity is 400 m/s. So 150/400 = 0.375 seconds. Since the actual time will be a bit less due to acceleration by gravity and since the total time is so short, there won't be much acceleration due to gravity, the value of 0.373 is quite reasonable.
Rosie is building a wheelchair ramp that is 18 feet long and 2 feet high. She needs to install vertical support piece 6 feet from the end of the ramp what is the length of the support piece in inches
Answer:
72 inches
Step-by-step explanation:
multiply the length value by twelve.
which of these is the smallest number & which of these is the largest number
Answer:
A) D: 4.6
B) C: 5.12
Step-by-step explanation:
A) From the given options, the smallest number is 4.6 which is option D.
Due to the fact that the decimal sides from options A to the last are; 602, 620, 666..., 600.
This is because after the number 6, the remaining digits are assumed to be zero because there is no number attached again. The one that has 6 with dot above it means that it is a recurring decimal with 6. Thus, it can't be the smallest.
B) The largest is option C which is 5.12.
Because on the decimal sides, ranking from highest to lowest we have;
120, 111..., 102, 100. A number with dot on it means recurring decimal.
A plane rises from take-off and flies at an angle of 8° with the horizontal runway. When it has gained 850 feet, find the distance to the nearest foot, the plane has flown.
850 ft
The plane has flown approximately ___ feet. (Round to the nearest foot.)
Answer:
[tex]C\approx 5748.2feet[/tex]
Step-by-step explanation:
From the question we are told that
Angle of elevation [tex]\thata=8 \textdegree[/tex]
Height of plane [tex]H=850feet[/tex]
Generally the equation for the Distance flown is given by
[tex]C=\frac{H}{sin \theta}[/tex]
[tex]C=\frac{800}{sin8}[/tex]
[tex]C=5748.237227[/tex]
[tex]C\approx 5748.2feet[/tex]
Therefore Distance flown is
[tex]C\approx 5748.2feet[/tex]
8 divided by 1/6 with explanation
Answer:
48
Step-by-step explanation:
Find an equation for the line below:
You eam $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use z for hours worked at the grocery store and y for hours teaching music lessons. Inequality for hours at grocery store: Inequality for total earnings: Inequality for total work hours: b. Identify and interpret a solution of the system. (4, 10): You can work 4 hours at the grocery store and spend 10 hours teaching music lessons. O (9, 1): You can work 9 hours at the grocery store and spend 1 hour teaching music lessons. (12, 10); You can work 10 hours at the grocery store and spend 10 hours teaching music lessons (12, 2): You can work 12 hours at the grocery store and spend 2 hours teaching music lessons. C. Can you you work 8 hours at the grocery store and teach 1 hour of music lessons? You work 8 hours at the grocery store and teach 1 hour of music lessons.
Answer:
10x+15y≥120
Step-by-step explanation:
(4x - 1)(3x2 + 3x – 5)
Simplify the expression to a polynomial in standard form
Answer:
12[tex]x^{3}[/tex]+9[tex]x^{2}[/tex]-23x+5
Step-by-step explanation:
Ivanna deposits $500 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in the first 2 years?
Answer:
$60 in interest
Step-by-step explanation:
To find interest, use the tried and true method of I = Prt (I is the interest, P is the principal, r is the rate, and t is the time (in years))
I = 500* 2 * 6% (What I do is go on and multiply the principal by the time)
I = 1,000 * 6% (Now to convert 6% and 1,000 into fractions)
I = 1,000/1 * 3/50 (Cross-cancel if needed here; The GCF of 50 and 1,000 is 50)
I = 20/1 * 3/1 (Just remove the /1 part here, they're wholes!)
I = 20 * 3 (Multiply and you have your answer!)
I = $60
Answer:
Ivanna after 2 years of 6% intrest will have 561.8 $ in her accout.
Step-by-step explanation:
500 times 6% can be done like 500 x 0.06 which is 30. So 530. Then 530 time the 6% which is 530 x 0.06 is 31.8. So 530 + 31.8 = 561.8$
A file that is 233 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been
downloaded? Round your answer to the nearest tenth.
Answer:
32.9
Step-by-step explanation:
233 * %14.1 = 233*.141=32.9
Examine rectangle JKLM, shown below.
If JN = x + 3 and JL = 3x + 1, determine which of the following values is correct
Answer:
NM = 8
Step-by-step explanation:
Given rectangle JKLM
JN = x + 3 and JL = 3x + 1
JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.
Substitute and solve for x:
x + 3 = 1/2(3x + 1)
2x + 6 = 3x + 1
3x - 2x = 6 - 1
x = 5
Find JN
JN = 5 + 3 = 8
Looking at the options, we see that
NM = JN = 8
Correct option is A
Given the function f(x) = 8x+2, evaluate f(6),
Answer:
f(6)=50
Step-by-step explanation:
f(6)=8(6)+2
f(6)=48+2
f(6)=50
Answer: 50
Step-by-step explanation:
f(6) =8(6)+2
f(6)=48+2
f(6)=50
If 8mg =53%, then __mg = 100%
Answer:
If 8mg =53%, then __mg = 100%
[tex] \frac{8mg}{53\%} = \frac{x \: mg}{100\%} \\x = \frac{8 \times 100}{53} \\ x = \frac{800}{53} \\ \boxed{x = 15.09434 \: mg}[/tex]
Work out the area of this circle
Answer:
50.3
Step-by-step explanation:
y/x^2 + y/x^3
perform the operation and express your answer as a single fraction
Answer:
[tex]\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{y}{x^2}+\frac{y}{x^3}[/tex]
Let us perform the operation and express your answer as a single fraction
[tex]\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}[/tex]
[tex]=\:\frac{x^2\left(xy+y\right)}{x^5}[/tex]
[tex]=\frac{\left(xy+y\right)}{x^3}[/tex]
Therefore, we conclude that:
[tex]\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}[/tex]
Simplyfy 18x5y5+2x5y
Answer:
more than 3 I think
Step-by-step explanation:
f=6/2-g make g the subject
Answer:
[tex]g=\dfrac{2f-6}{f}[/tex]
Step-by-step explanation:
The given equation is :
[tex]f=\dfrac{6}{2-g}[/tex]
We need to find the value of g.
Cross multiplying both sides,
[tex]f(2-g)=6\\\\2f-fg=6\\\\2f-6=fg\\\\g=\dfrac{2f-6}{f}[/tex]
So, the value of g is equal to [tex]\dfrac{2f-6}{f}[/tex].
Karin and Kelly colored their favorite coloring books. When they were finished, Karin had colored 9 pages and Kelly had colored 15 pages. Which ratio shows the number of pages colored by Karin to Kelly?
HUuuuurrry im on a test
Is -55/11 equal to -5
Is -55/-11 equal to -5
Is 55/-11 equal to -5
Is -(-55/-11) equal to -5
WILL GIVE BRAINLYEST
An initial population of 293 quail increases at an annual rate of 6%. Write an exponential
function to model the quail population. What will the approximate population be after 4 years?
Answer:
f(x)=293(1.06)^x;370
The quail population after 4 years is 370
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let y represent the population of the quail after x years.
There is an initial population of 293 quail, hence a = 293. the population increases at an annual rate of 6%. hence b = 100% + 6% = 1.06
The exponential function is given by:
y = 293(1.06)ˣ
The population after 4 years:
y = 293(1.06)⁴ = 370
The quail population after 4 years is 370
Find out more on exponential function at: https://brainly.com/question/2456547
Pedro uses shapes to make a funny animal. Which best tells about the shapes in Pedro's animal? 15) Some shapes have straight sides, and some shapes have round sides. The sides of all the shapes are straight )) The sides of all the shapes are round
Answer: the sides of all shapes are straight
Step-by-step explanation:
Photo attached please help
Create a dot plot for the given set of data.
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
hope this helps. let me know if you can see what i have attached.
The box- plot is attached below.
What is dot- plot?Data points are represented as dots on a graph with an x- axis and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation. These kinds of graphs are employed to visually represent particular data trends or groupings.
Given:
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
Now, 1 Appears 1 time
2 Appears 2 time
3 Appears 2 time
4 Appears 4 time
5 Appears 4 time
6 Appears 4 time
7 Appears 2 time
8 Appears 3 time
Learn more about dot- plot here:
https://brainly.com/question/22746300
#SPJ2
PLEASE HELP ME I WILL MARK BRAINLIEST IF YOUR RIGHT..
A y = 3x - 5
B y = 3x + 5
C y=-3x - 5
D y=-3x + 5
Answer: The answer is C. for the first question and D. for the second
Step-by-step explanation:
Answer:
im prett sure its y= -3x - 5. correct me if I'm wrong
! I WAS WRONG, its y=-3x+5
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
Answer:
x-intercepts:
(-6,0) and (3,0)
Step-by-step explanation:
x-intercept is when y=0
(0,-6) and (0,3)
Step-by-step explanation:
(0,-6) and (0,3) because the x intercept is when y=0 and if you want y to equal 0 one of the 2 parenthesis's values should equal 0 there are 2 answers because even if one of the parenthesis equals 0 the other one that is multiplied by it no matter what the value of that is equals 0. For example take (x+3)(x-4) one way to make this 0 would be for x to equal -3 or +4.
help plsssssssssssssssss
Answer:
Its is C! :)
Step-by-step explanation:
Hope you do Great! :)
brainliest would be nice:)
I need urgent help anyone?
Answer:
6.6 repeating = 6.7
46/7 = 6.7
6.8 = 6.8
47(root) = 6.9
Some of these answers have repeating numbers so I just rounded em.
Hope this helps :D
11/36 + 13/36 = 24/36 then reduced
Answer:
2/3
Step-by-step explanation:
Find the GCF of 24 and 36, then divideGFC = 1224 ÷ 12 = 236 ÷ 12 = 3Re-write the fraction: 2/3I hope this helps!
IN NEED OF HELLLPPPPPPP
Solve for x
Write the equation of a line that is perpendicular to the equation y=-x+4 and passes through the point (2,5)
Answer:
y=x+3
Step-by-step explanation:
perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.
here is the equation: y=-x+4
the slope is -1
here is the equation to find the slope of the perpendicular line:
-1m=-1
multiply by -1
m=1
here is the new line so far: y=1x+b
now, we can substitute the point (2,5) into the equation, since the equation will pass through that point to find b (the y intercept)
5=1(2)+b
5=2+b
3=b
the equation of the line is y=1x+3, or y=x+3
Hope this helps!
