Answer:
[tex]125.4\ \text{m/s}[/tex]
Step-by-step explanation:
u = Initial velocity of baseball
[tex]\theta[/tex] = Angle of hit = [tex]30^{\circ}[/tex]
x = Displacement in x direction = 400 ft
y = Displacement in y direction = 15 ft
[tex]y_0[/tex] = Height of hit = 2.5 ft
[tex]a_y[/tex] = g = Acceleration due to gravity = [tex]32.2\ \text{ft/s}^2[/tex]
t = Time taken
Displacement in x direction
[tex]x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}[/tex]
Displacement in y direction
[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}[/tex]
The minimum initial velocity needed for the ball to clear the fence is [tex]125.4\ \text{m/s}[/tex]
What is the slope of a line parallel to the line whose equation is 2x+y=6.
Answer:
-2 is the slope...
So Basically -2/1
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, you solve for y by subtracting 2x from both sides of the equation and so now we have a y= -2x+6. The slope is going to be the number that is with x.
1. Given: y = -2x2
Domain
Range
Opening of the
parabola
Vertex
Axis of Symmetry
X - intercept
y - intercept
Domain: (-∞,∞) or -∞ < x < ∞ or all real numbers
Range: (-∞,0] or -∞ < y ≤ 0
Opens: Downwards since a is negative
Vertex: ( 0 , 0 )
Axis of Symmetry: x=0
x-intercept: ( 0 , 0 )
y-intercept: ( 0 , 0 )
A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from among the workers without regard to gender
Answer:
I think 4000 worker and I will be there at some point today and I
at a pet store at the mall there are 21 dogs, 13 cats, 12 rabbits, 5 hamsters, and 3 ferrets. What percent of the animals mare rabbits
Answer:
28.57%
Step-by-step explanation
I added all the animals together and got the precentage of rabbits
Hopefully its right :)
The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis
Answer:
P(-2,4)
Q(2,5)
R(-1,8)
Step-by-step explanation:
The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.
Please help! I will give brainliest!!!!!!
Answer:
3,10 please give me brainliest i need one more for 5 please please please
Step-by-step explanation:
Convert 51.7% to a fraction in simplest form and a decimal.
uses 2 1/2 cups of apple juice and 1 1/2 of carrot juice for a recipe. enter the number of cups of apple juice used for 1 cup of carrot juice
Answer:
1 3/4
Step-by-step explanation:
look at picture and answer ASAP
Answer:
its B and A
Step-by-step explanation:
Answer:
its in between the fist and second one cuusing what is given thats what i figured out
Step-by-step explanation:
3 x 36= 108 / 3 x 15 = 45
9 x 12 = 108 / 9 x 5 = 45
6 x 18 = 108 / 6 x 7 = 42
i hope this helps :)
URGENT DUE AT 1:00 PLZ HELP... MATH123456
Answer:
Step-by-step explanation:
Nose
A car travels around a circular track of radius 1.5 miles. It traversed35of a complete revolution. Howfar did it travel?
Answer:
The total distance traveled by the car is 330 miles.
Step-by-step explanation:
The circular track is the circumference of circle with radius 1.5 miles.
Circumference of a circle = 2[tex]\pi[/tex]r
Thus,
Circumference of the track = 2 x [tex]\frac{22}{7}[/tex] x 1.5
= 9.4286571429
Circumference of the track = 9.4286571429 miles
But, one complete revolution by the car is the circumference of the track.
i.e One complete revolution round the track = 9.4286571429 miles
Therefore,
35 complete revolutions round the track = 35 x 9.4286571429 miles
= 330 miles
The total distance traveled by the car is 330 miles.
Calculate the paychecks of the following people. Select the total hours and paycheck.
Answer:
If the numbers under the days of the week are the hours worked then the answers are Sue-40,$6.75,$270 Jerry-30,$5.15,154.5 Sam-38.75,$8.75,339 Step-by-step explanation:
Just add up the number of hours worked and multiply by the rate.
Mrs. 1 ran 10 meters in 3.8 seconds. Mrs. 2 ran 10 meters in 3.2 seconds.
Who ran faster?
Answer:
Mrs. 2
Step-by-step explanation:
3.2 seconds is shorter than 3.8 seconds
Answer:
Mrs 2 ran 10 meters in 3.2seconds
Theresa finds a shirt on sale at the store. The regular price of the shirt is $32.00. But there is a 20% off sale today. Theresa remembered that there is 8.1% tax on the sale price of the shirt. What is her final cost?
Question 10 options:
$28.92
$27.67
$29.31
$31.00
Answer:
Step-by-step explanation:
Given tgat:
Regular price = $32
Discount = 20%
Sale tax = 8.1%
Please help me out quickly
Answer:
I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me
Step-by-step explanation:
b. Determine if x ^ 2 - 9x + 14 is always positive, always negative , or neither for all negative values
A computer manufacturer has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by where x is the number of days since the start of the job. Find the expenditure if the job takes 8 days.
Answer:
The expenditure would be $ 8600
Step-by-step explanation:
If the cost is given by the function
C(x)= 10x + 6 where x is the number of days
The cost for 1 day would be
C(1)= 16 *100 = 1600 $ ( the expenses are in hundreds of dollars)
Then Putting x= 8 in the given equation we get
C(8)= 10(8) + 6
= 86
Multiplying 86 by 100 because expenditure rate per day is in hundreds of dollars
The expenditure would be $ 8600
In the figure, BE||CD, B is the midpoint of AC, and E is the midpoint of AD
Answer:
A. 8
Step-by-step explanation:
BE = ½(CD) (midsegment theorem)
BE = 2x - 10
CD = 12
Plug in the values
2x - 10 = ½(12)
2x - 10 = 6
Add 10 to both sides
2x - 10 + 10 = 6 + 10 (addition property of equality)
2x = 16 (addition property of equality)
Divide both sides by 2
2x/2 = 16/2
x = 8 (division property of equality)
What is
0.74314482
as a fraction?
(I don’t have my TI Calculator with me and that is what I need to figure out this question)
What is the point-slope form of the equation of the line that passes through the point (-3,-4) and has a slope
of 2?
Answer:
y=2x+6
Step-by-step explanation:
Answer:
y=2x+2
Step-by-step explanation:
To find the point-slope form of the equation we need to get the slope-intercept form of (-3,-4) and 2
(Slope intercept form formula is y=mx+b) (m is slope) (b is y-intercept)
So we know that the slope of this equation is 2 so we can replace m with 2 since the slope is 2 and m is slope.
Equation will look like this:
y=2x+b
Now we need to find the b or y-intercept of the equation to do this the (-3,-4) come into play: replace x with -3 and replace y with -4
(x,y) -3 is x since it is the same spot in (-3,-4) and -4 is y since it is in the same spot in (-3,-4)
Replace:
-4=2(-3)+b
Multiply 2 and -3:
-4=-6+b
Move 6 to the other side by adding 6 on both side:
6-4=-6+6+b
Simplify
2=b
Now the equation looks like this: (If you replace b with 2 in y=2x+b)
y=2x+2
Answer: y=2x+2 (Point-slope form is the same thing as slope-intercept form)
Find the volume and surface area of each prism 3cm by 3cm by 3cm
Answer:
3 x 3 x 3= 18 so 18cm squared
Step-by-step explanation
Answer:
Volume =27cm³
Total surface area=54cm²
Step-by-step explanation:
Formula for finding volume of an object is Volume =length×breadth×height
so V=3cm×3cm×3cm=9cm²×3cm=27cm³ because the cm is three so it will become cube.
Formula for finding the total subject of an object is T.S.A meaning total surface area=2((length ×breadth)+(length×height)+(breadth ×height))
so it will be 2((3cm ×3cm)+(3cm ×3cm)+(3cm ×3cm)) calculate and if you any problem let me know.
what is the equation for (4, 9.4) and (-3, -9.5)
Answer: I got an eqaution I hope it is basic
Step-by-step explanation:
4 times 9
9 - (-3 ) times -9 + 5
How do solve this problem?
find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form. line 2x + 5y= -10 point (10, 4)
Answer:
y=-2/5x+8
Step-by-step explanation:
Step 1: Begin by changing the equation into slope-intercept form. Subtract 2x to both sides to get 5y=-10-2x. Divide 5 to both sides to isolate the variable, y. You should get y=-2/5x-2.
Step 2: Because we are looking for a line parallel to the given line, the slope should be the same, but the y-intercept should be different. Remove -2 to replace it with b, so it's unknown. The equation should be y=-2/5x+b. Plug in the ordered pair, (10, 4), into the equation to get 4=-2/5(10)+b. Multiply -2/5 and 10 to get -4. Add -4 to both sides and b=8. Plug in 8 and your final equation should be y=-2/5x+8.
Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Antonio purchased
Answer: B
Step-by-step explanation:
It is $29.35 for each of the tickets that they buy for adults, so to figure out how much it is for all the adult tickets, it would be $29.35 times x. Same for the children tickets except it is times y and the amount of money is different.
find the distance from point A to the given line
A(2,-1), y=-x+4
Answer:
using distance formula you can solve it
Doe has 2 3/8 pounds of hamburger meat. He is making 1/4 pound hamburgers .Does doe have enough meat to make 10 hamburgers
Find the equation of the line that passes through (4,4) and is parallel to y = 2x + 4.
Leave your answer in the form y= mx + c
Answer:
x,y(0,12)
Step-by-step explanation:
Y=mx+c
4=2X+4
4=2x+4
2x=0
X=0
Y=mx+c
Y=2(4)+4
Y=8+4
Y=12
HELP QUICK!! what is the effect on the graph of the function y=x^2 when it is changed to y=1/2x^2?
a) the graph moves up the y axis b) the graph moves down the y axis c) the graph narrows d) the graph widens
Answer:
D is your answer
hopefully this helps
log(5t)(5t + 1) * log(5x+1) (5t + 2) * log(5t+2 )(5t + 3)... log(5t+n)(5t +n +1)
I assume you're referring to the product,
[tex]\log_{5t}(5t+1)\cdot\log_{5t+1}(5t+2)\cdot\cdots\cdot\log_{5t+n}(5t+n+1)[/tex]
Recall the change-of-base identity:
[tex]\log_ab=\dfrac{\log_cb}{\log_ca}[/tex]
where c > 0 and c ≠ 1. This means the product is equivalent to
[tex]\dfrac{\log(5t+1)}{\log(5t)}\cdot\dfrac{\log(5t+2)}{\log(5t+1)}\cdot\cdots\cdot\dfrac{\log(5t+n+1)}{\log(5t+n)}[/tex]
and it telescopes in the sense that the numerator and denominator of any two consecutive terms cancel with one another. The above then simplifies to
[tex]\dfrac{\log(5t+n+1)}{\log(5t)}=\boxed{\log_{5t}(5t+n+1)}[/tex]
Can you help me with this question please by the way its not 101
Answer:
41
Step-by-step explanation:
101+38=139
180-139 = 41