Answer:
Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.
Step-by-step explanation:
Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:
[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]
[tex]0 = v_{o}+g\cdot t[/tex]
Where:
[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.
[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
[tex]t[/tex] - Time, measured in seconds.
In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.
Find two rational numbers between -1 and 0
Answer:
-1/2 and -3/4
Step-by-step explanation:
rational numbers are numbers that can be expressed in a fraction
Which of the following fractions is an improper fraction?
2/3
6/11
21/25
8/7
Answer:
8/7
Step-by-step explanation:
The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.
I'm rather stuck on this question
Answer:
m<a = 30°
m<b = 90°
m<c = 60°
Step-by-step explanation:
Angles a, b, and c are all angles on a straight line.
Angles on a straight line add up to 180°.
Therefore, a + b + c = 180°
Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:
Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°
m<a = [tex] \frac{1}{6} * 180 = 30 [/tex]
m<b = [tex] \frac{3}{6} * 180 = 90 [/tex]
m<c = [tex] \frac{2}{6} * 180 = 60 [/tex]
which coordinate pair represents the reflection of poin A across the y-axis
Answer:
i need and image
Step-by-step explanation:
What is the value of m in the equation {m- n = 16, when n = 8?
Answer:
m=44
Step-by-step explanation:
Answer:
m=44
Step-by-step explanation:
James earns $8.75 per hour working at the Kroger after school. He needs at least $250 for an iPhone. Write and solve an inequality that describes how many hours James must work to buy the iPhone.
Answer:
29 hours
Step-by-step explanation:
$250: $8.75= 28.5. and you round that up to 29. cause 28 times 8.75 is $245. and that's below the amount that James needs
Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.
Answer:
Positive
Step-by-step explanation:
-13 plus positive 20 equals positive 7
Order of Operations
If the Order of Operations did not exist, how many
possible solutions can you find for this expression?
4 + 9 + 16 : 4 - 8 – 3 x 5
Given:
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
To find:
The number of possible solutions, if the Order of Operations did not exist.
Solution:
We have,
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
Now,
Case 1:
[tex][4 + 9 + 16] \div [4 - 8 -(3 \times 5)]=29\div (4 - 8 -15)[/tex]
[tex]4 + 9 + 16 \div 4 - 8 -(3 \times 5)=-\dfrac{29}{19}[/tex]
Case 2:
[tex][4 + 9 + 16] \div (4 - 8 -3) \times 5=29\div (-7\times 5)[/tex]
[tex]4 + 9 + 16 \div (4 - 8 -3) \times 5=-\dfrac{29}{35}[/tex]
Case 3:
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=4+9+4-8-15[/tex]
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=-6[/tex]
Many more possibilities are there.
Therefore, there are more than 3 possible solutions.
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Please help!!! Do In 20 minutes
Answer:
The side length of the square would be (b - a) , so I believe the answer would be the one you have highlighted.
Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
Answer:
-,-
Step-by-step explanation:
the y axis is negative and the x axis is also negative
hope this helps
simplify (-4x^5)(4x^2)
Answer:
-16x^7
Step-by-step explanation:
Multiply -4 by 4 and x^5 by x^2:
(-4)(4)(x^5)(x^2) = -16x^7
Answer:
14
Step-by-step explanation:
a=14; what does 15+5+a equal
Answer:
34
Step-by-step explanation:
So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:
15 + 5 + 14
15 + 5 = 20
20 + 14 = 34
All you do is replace a with 14 then add 15, 5 and 14 getting 34.
HOPE IT HELPED
To obtain the graph of y = (x - 8)2, shift the graph of y = 2____ units.
Answer:
y = 2(8-x)
Step-by-step explanation:
you just swich around the numebers and the( ta da)
Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the concession stand. Their total was $49.00. How many people went to the movies?
Answer:
4 people
Step-by-step explanation:
Let's first write an equation.
We want to find the number of tickets t
The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.
$49 = $8.50t + $15
Solve for t, first subtract $15 from both sides.
$49 - $15 = $8.50t
$34 = $8.50t Divide both sides by $8.50
$34/$8.50 = $8.50t/$8.50
$34/$8.50 = t
4 = t
4 tickets meaning 4 people went.
subtract -9x-7 from 8x2 -5x +9
Answer:
8x2+4x+16
Step-by-step explanation:
first you would place as so
8x2-5x+9 - (-9x-7)
you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7
You then add like terms and put them into standard form.
hope this helps!!
1+cosx/1-cosx=tan^2x/(sec^2-1)^2
Answer:
Take a look at the attachment below
Step-by-step explanation:
A 13/16
A -inch-long bolt is used in a machine. What is the length of the bolt written as a decimal?
Answer:
13/16 = 0.813
Step-by-step explanation:
35 over 11 rounded to the nearest tenth
find three consecutive even integers whose sum is 54
Solve for y
y - 5x = 11?
Answer:
y=16
Step-by-step explanation:
y = 11-5x
= 16
y = 16this is the answer
xxxx delete answer xxxx
what is the answer to 3(5)
Answer: 15
Step-by-step explanation:
3x5=15
what is 8 ninths plus 7 fifteenths
Answer:
122/90 or 1 32/90
Step-by-step explanation:
8/9 and 7/15 have the common denominator of 90.
Step 1:
8/9 + 7/15
Step 2:
80/90 + 42/90
Step 3:
122/90
Answer:
122/90 or 1 32/90
Hope This Helps :)
negative two minus negative 5
Answer:
3
Subtract the smaller number from the greater number.
You get -3, right?
Remeber the key rule- negative minus negative is positive.
|7 – x| + |3x| when x = 2
Answer:
Answer= 11
Step-by-step explanation:
|7 – (2)| + |3 (2)|
|5| + |6| = 5 + 6 = 11
Suppose PQ has P(a,b) and midpoint M(c,d). What is an expression for PM? Use the expression for PM to find an expression for PQ.
PM= ________
Answer:
[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]
Step-by-step explanation:
Relevant data provided as per the requirement of question is shown below:-
M(c,d)is a midpoint of PQ
PM = MQ
The expression for PM to find an expression for PQ is shown below:-
Where,
[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]
Which is equals to MQ
and
[tex]MQ = \sqrt{(a - c)^2 + (b - d)^2}[/tex]
For more clarification, the diagram has been presented below:-
I______I______I
P M Q
(a,b) (c,d)
Pls help im timedTrey converted 12,500,000 into scientific notation as 12.5 * 10 to the power of 6 his he correct
Answer:
12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.
Step-by-step explanation:
m DEF = 144° and m GEF = 69°. Find m DEG
Answer:
Angle DEG = 75 degrees
Step-by-step explanation:
Step 1:
m DEF - m GEF = m DEG
Step 2:
144 - 69 = 75
Answer:
75 degrees
Maude and Ahmed each drove their cars for 4.6 hours. In that time, Maude drove 230 miles. Ahmed drove 10 miles per hour slower than Maude drove. Write an equation that can be used to determine the distance, y, in miles, that Ahmed drove in h hours. Use your equation to determine how many more miles Maude drove in h hours than Ahmed drove. Show your work.
Answer:
y = 4.6 * (230 -10) ... 1,012 - Ahmed ... 1058 - Maude
What is the distance formula
Answer:
the firdst image in the uper left corner
Step-by-step explanation:
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\:\:}}[/tex][tex]\\[/tex]
Cheers!
The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall
Answer:
3.98964 inches
Step-by-step explanation:
We are given;
Mean; μ = 4 inches
Standard deviation; σ = 0.01 inch
Probability = 15% = 0.15
Formula to calculate z-value is given by;
z = (X - μ)/σ
Now, since we are given the probability to be below 0.15,thus;
From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.
Thus, plugging in the relevant values into the z score equation gives;
-1.036 = (x - 4)/0.01
Cross multiply to give;
-0.01036 = x - 4
x = 4 - 0.01036
x = 3.98964 inches