We can use the kinematic equation:
h = vi*t + 0.5*a*t^2
where h is the initial height, vi is the initial velocity, a is the acceleration due to gravity (9.8 m/s^2 or 32 ft/s^2), and t is the time.
Since we want to find the time it takes for the ball to hit the ground, we can set h = 0 and solve for t:
0 = 23*t - 0.5*32*t^2 + 3.5
0 = -16t^2 + 23t + 3.5
Using the quadratic formula, we get:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -16, b = 23, and c = 3.5.
t = (-23 ± sqrt(23^2 - 4*(-16)*3.5)) / 2*(-16)
t = (-23 ± sqrt(529)) / (-32)
t = (-23 ± 23) / (-32)
t = 0.125 s or 1.438 s
Since we are looking for the time it takes for the ball to hit the ground, we only want the positive solution:
t = 1.438 s
Therefore, Barbara has about 1.438 seconds before the ball hits the ground.
Final answer:
Barbara has approximately 1.43 seconds before the volleyball served by Sharon with an upward velocity of 23 ft/s and from a height of 3.5 ft hits the ground.
Explanation:
To determine how long Barbara has before the volleyball hits the ground, we need to use the kinematic equations for projectile motion, assuming the ball is moving under the influence of gravity alone. Since Sharon serves the volleyball with an upward velocity of 23 ft/s and the initial height is 3.5 ft, we can use the following kinematic equation:
[tex]s = ut + (1/2)at^2[/tex]
Where:
s is the displacement (which is -3.5 ft because the ball is falling to the ground, hence the negative sign)
u is the initial velocity (23 ft/s upwards, hence positive)
a is the acceleration due to gravity ( [tex]-32 ft/s^2[/tex], negative because it is directed downward)
t is the time
Plugging in the values we get:
[tex]-3.5 = 23t - (1/2)(32)t^2[/tex]
This is a quadratic equation in the form of [tex]at^2 + bt + c = 0[/tex] , where a = -16, b = 23, and c = -3.5. We can solve for t using the quadratic formula [tex]t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}[/tex]. After calculating, we find that t is approximately 1.43 seconds. However, since time cannot be negative, we take the positive value which is the time it takes for the ball to hit the ground.
Therefore, Barbara has approximately 1.46 seconds before the volleyball hits the ground.
Malia has 6 groups of 18 buttons. How many buttons does Malia have altogether?
6 groups of 18 buttons would translate into multiplication.
6 x 18 = 108 buttons total that Malia has.
Final answer:
To determine the total number of buttons Malia has, multiply the number of groups (6) by the number of buttons per group (18), resulting in 108 buttons altogether.
Explanation:
The question concerns a basic arithmetic operation of multiplying two numbers together to find the total quantity of items. Malia has 6 groups of 18 buttons each.
To find out how many buttons she has altogether, we need to perform a multiplication of the two numbers. Multiplying the number of groups by the number of buttons in each group gives us:
Multiply the number of groups (6) by the number of buttons per group (18).
6 groups × 18 buttons per group = 108 buttons.
Therefore, Malia has 108 buttons altogether.
16 less than a number equals -19. what is the number?
We’ll use x to represent the mystery number.
“Sixteen less than” means subtraction, so we have 16 -
“Less than a number” simply means 16 - x
“Equals - 19” sets 16 - x equal to -19. In other words, 16 - x = -19
To solve, we subtract 16 to get x alone:
-x = -35
Divide the entire equation by -1 to make x positive:
-1(-x = -35) leaves us with x = 35
Annabel sent 26 text messages to her brother during the test 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?
О 4 text messages each day
O
2 text messages each day
O 3 text messages each day
О
1 text message each day
Next
Post
Answer:
Step-by-step explanation:
26 messages during 13 days...
26/13 = 2 texts per day <===
Someone Please help me
Answer:
y= -2x+4
Step-by-step explanation:
To find the slope find 2 points and use "rise/run", that will get -2
To find the y-intercept look at where the line crosses the y-axis. that will be 4
so -2x+4
(Help)Find the value of X.
15-18
Answer:Tag 30*(2\/3)=x
Step-by-step explanation:
Tag 30*= x/2\/3;
Tag 30*(2\/3)=x
After kicking, one coach likes to play practice games with 6 players on each
team. She doesn’t like any team to have more or fewer than 6 players and
she doesn’t like anyone to be left off a team. What are the possible numbers
of players who must show up to practice so that the coach can make these
teams?
Final answer:
The possible numbers of players who must show up to practice so that the coach can make teams with 6 players on each team are any number that is divisible by 6.
Explanation:
In order for the coach to make teams with 6 players on each team, the total number of players must be a multiple of 6. This means that the possible numbers of players who must show up to practice are any number that is divisible by 6.
For example, if there are 6 players, they can all be on one team. If there are 12 players, they can be divided into two teams of 6 players each. If there are 18 players, they can be divided into three teams of 6 players each, and so on.
So, the possible numbers of players who must show up to practice are:
6, 12, 18, 24, 30, 36...
what is the square root of 852
Answer:
2 sqrt of 218
Answer:
29.1890390387
Step-by-step explanation:
please give brainliest just need 4 more
9 4/5 - 2 3/10
As simplest from I am condused
Answer:
7 1/2
Step-by-step explanation:
9-2=7
4/5*2/2=8/10
8/10-3/10=5/10
5/10=1/2
answer: 7 1/2
Answer:
75 / 10 or 7 1/2
Step-by-step explanation:
find the indicated side of the triangle
Answer:
X=14
Step-by-step explanation:
Sin30=7/x
1/2=7/x
Cross multiply
2×7=14
1×x=x
X=14
what is 33 1/3% less than $60
Answer:
$40
Step-by-step explanation:
33 1/3% is equal to 1/3. 1/3 less than something is 2/3 of it. 2/3 of $60 is $40.
To find what is 33 1/3% less than $60, you multiply $60 by 2/3 (since removing 33 1/3% is equivalent to keeping 2/3 of the value). This calculation results in $40.
To find what is 33 1/3% less than $60, first, understand that 33 1/3% is equivalent to one third. Taking one third away from a number is the same as multiplying that number by 2/3 (since 1 - 1/3 = 2/3). Therefore, you would calculate $60 multiplied by 2/3 to get the answer.
$60 × 2/3 = $40.
So, 33 1/3% less than $60 is $40. This calculation shows how percentages can be easily translated into fractions for calculations that involve finding a percentage of a given number, or what a number is after it has been increased or decreased by a certain percentage.
solving systems of linear equations by graphing 2x+3y=-12 and 10x+3y=12
Answer:
(x, y) = (3, -6)
Step-by-step explanation:
I like a good graphing calculator for solving systems of equations by graphing.
__
If you're solving these by hand, you need to graph the equations. It can be convenient to put the equations into "intercept form" so you can use the x- and y-intercepts to draw your graph.
That form is ...
x/(x-intercept) +y/(y-intercept) = 1
Dividing a standard-form equation by the constant on the right will put it in this form.
x/(-12/2) +y/(-12/3) = 1 . . . . . . divide the first equation by -12
x/(-6) +y/(-4) = 1 . . . . . . . . . . . the x-intercept is -6; the y-intercept is -4
__
x/(12/10) +y/(12/3) = 1 . . . . . . divide the second equation by 12
x/1.2 +y/4 = 1 . . . . . . . . . . . . . the x-intercept is 1.2*; the y-intercept is 4
__
The locations of these intercepts and the slopes of the lines tell you that the solution will be in the fourth quadrant. The lines intersect at (x, y) = (3, -6).
_____
* It can be difficult to draw an accurate graph using an intercept point that is not on a grid line. It may be desirable to put the second equation into slope-intercept form, so you can see the rise/run values that let you choose grid points on the line. That equation is y =-10/3x +4. A "rise" of -10 for a "run" of +3 will get you to (3, -6) starting from the y-intercept of (0, 4).
What is the radical form of the expression a5/2
Answer:
[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]
Step-by-step explanation:
Given:
Given expression is.
[tex]= a^{\frac{5}{2}}[/tex]
We need to write the given expression in radical form.
Solution:
Rewrite the expression as.
[tex]= a^{\frac{5}{2}}[/tex]
Now we extract power as [tex](a^{m})^{\frac{1}{n} }=a^{\frac{m}{n}}[/tex]
[tex]=(a^{5})^{\frac{1}{2} }[/tex]
Now we write the above expression in radical form and simplify.
[tex]=\sqrt[2]{(a^{5})}[/tex]
[tex]=\sqrt[2]{(a\times a)\times (a\times a)\times a}[/tex]
[tex]=\sqrt[2]{a^{2}\times a^{2}\times a }[/tex]
[tex]= a\times a\times \sqrt[2]{a}[/tex]
[tex]= a^{2}\times \sqrt[2]{a}[/tex]
[tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]
Therefore, the radical form of the given expression [tex]a^{\frac{5}{2}} = a^{2}\sqrt{a}[/tex]
i need help with this math question
Answer: 5 players on each team
Step-by-step explanation:
5+7+8= 4/20
what is the slope of y=-1/3x+4the slope of y=-1/3x+4
Answer:
-1/3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
Solve for d.
d•3/10=1/4
Answer:
5/6
Step-by-step explanation:
Multiply both sides of equation by 10/3.
d = 1/4 × 10/3
d = 10/12 = 5/6
Step-by-step explanation:
If you divide by a fraction you can write it as multiplying with the opposite of that fraction
d=1/4 / 3/10
d=1/4 × 10/3=10/12=5/6
Using the Properties of Equality, fill the blanks with the correct value to show the solution for y.
3(y-2) = 18
3y - — = 18
3y = ___
What is the value of y?
Answer:
Step-by-step explanation:
3y - 6 = 18
3y = 24
y = 8
Answer:
8
Step-by-step explanation:
Norma made quilts and sold them at a craft show. The cost of fabric for each quilt was $13.55. She sold each quilt for $35. The number of quilts that Norma sold is represented by n.
a) Write an expression that represents the amount of money Norma made as
a profit if she sold n quilts.
b) Norma wants to make a total profit of $200. What is the least number of
quilts she must sell?
Answer:
least number of quilts is gonna be 10
Step-by-step explanation:
ok...so profit = revenue - expenses
n = # of quilts
revenue : (the money made from the quilts)
she sold each quilt for 35 bucks......35n
expense : (the money Norma spent on the materials)
the cost of fabric is 13.55 per quilt......13.55n
so ur expression is :
revenue - expenses
35n - 13.55n <==== this is part A
==========================
she wants to make a profit of 200...
P = revenue - expenses
200 = 35n - 13.55n
200 = 21.45n
200 / 21.45 = n
9.32 = n.......gonna have to round up to 10 <==== part B
ok...so 9 quilts is not gonna be quite enough...so shes gonna have to make 10.
1. Write the equation would you use to find time?
Answer:
Divide the distance traveled by the rate.
Step-by-step explanation:
For example, if Cole drives his car 45 km per hour and travels a total of 225 km, then he traveled for 225/45 = 5 hours
Janet has a monthly mortgage payment of $750. Her annual property taxes
are $1200, her PMI is $55/month, and her homeowners insurance is $800 per
year. What is her total monthly mortgage payment?
O A. $2660.00
O B. $1298.09
O c. $971.67
O D. $221.67
Answer:
Monthly mortgage payment is $971.67.Step-by-step explanation:
Janet, has a monthly mortgage payment of $750 and her PMI is $55 per month.
Her annual property taxes are $1200.
Hence, her monthly tax will be $[tex]\frac{1200}{12} = 100[/tex] [Since 1 year = 12 month].
Her homeowners insurance costs $800 per year. This will cost [tex]\frac{800}{12} = 66.67[/tex] per month.
Total monthly mortgage payment will be $([tex]750 + 55 + 66.67 + 100[/tex]) = $971.67.
HELLPPPPP PLEASE!!!!! ILL MARK YOU BRAINLIEST
Simplify the square root of four over the cubed root of four.
four raised to the five sixths power
four raised to the one sixth power
four raised to the three halves power
four raised to the one third power
Answer: four raised to the one third power
Step-by-step explanation:
According to the written description, we have the following expression:
[tex]\sqrt{\frac{4}{\sqrt[3]{4}}}[/tex]
Which can also be written as:
[tex](\frac{4}{4^{\frac{1}{3}}})^{\frac{1}{2}}[/tex]
Let's work with this, taking into account the rules of multiplication and division of power with the same base:
[tex](4^{1-\frac{1}{3}} )^{\frac{1}{2}}=(4^{\frac{2}{3}})^{\frac{1}{2}}[/tex]
Multiplying the exponents:
[tex]4^{\frac{1}{3}}[/tex] This is read as "four raised to the one third power"
Answer:
The answer is B
Step-by-step explanation:
If you need an explanation just text me I'll be happy to help but you said you just needed an answer so im just doing this quickly. You do FLVS too?
I got it right on the test i just took it algebra 1
1. find m<1 .........
Answer: [tex]m<1 = 87[/tex]°
Step-by-step explanation:
Alright, lets get started.
The exterior angle of the triangle is given as 124°
Hence the interior angle of the triangle will be : [tex]180-124[/tex]
Hence the interior angle of the triangle will be : [tex]56[/tex]°
So two interior angles of the triangle are : 56° and 37°
The sum of all three angles of a triangle is 180°
So,
[tex]x+56+37=180[/tex]
[tex]x+93=180[/tex]
[tex]x=87[/tex] °
Hence the measure of angle1 will be 87° : Answer
Hope it will help :)
Answer:
C. 87
Step-by-step explanation:
x = 87
can someone please explain this to me and give the answer??
Answer:
y=-2
Step-by-step explanation:
this is a function
the input x = 2 so look for the line x=2
then look at the blue line, the function, and see at what point the line x=2 intersects the function. then find the value of the y coordinate of that point.
Find the perimeter of this semi-circle with diameter,
d
= 34cm.
Give your answer as an expression in terms of
π
.
Answer:
The answer to your question is P = 17(π + 2) or 17π + 34
Step-by-step explanation:
Data
Diameter = 34 cm
Formula
P = rπ + 2r
Process
1.- Find the radius
radius = diameter / 2
radius = 34 / 2
radius = 17 cm
2.- Substitute the values in the formula
P = 17π + 2(17)
3.- Simplification
P = 17π + 34
4.- Factor
P = 17(π + 2)
The perimeter of the semi-circle with a diameter of 34 cm is 51π cm.
Explanation:The perimeter of a semi-circle can be found by adding the length of the straight edge (which is equal to half the circumference of a full circle) to the diameter. In this case, the diameter is 34 cm.
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Since we only have half of the circle, we divide the circumference by 2 to get the perimeter of the semi-circle.
Therefore, the perimeter of the semi-circle is (πd/2) + d = (π * 34 cm / 2) + 34 cm = 17π cm + 34 cm = 51π cm.
The Wildcats scored 63 points at their basketball game. Sarah scored 22 of these points. What percent of the team's points did Sarah score?
Answer:
34.9 %
Step-by-step explanation:
(22 ÷ 63) ×100 = 34.9206...
=34.9 %
Im BIg Brain SoryStep-by-step explanation:
2|x-7|=x-8 pls help
Suppose you built a catapult that can launch a ball
from the ground at an initial velocity of 16 feet per
second. The function h(t) = -16t2 + 16t represents the
height, h(t), in feet, that the ball has reached after t
seconds. What domain is reasonable for the
function? Explain.
Answer:
0 ≤ t ≤ 1
Step-by-step explanation:
The function can be factored as ...
h(t) = -16t(t -1)
It will have non-negative values for t in the interval [0, 1]. Negative values of h don't make much sense in this context, so the reasonable domain is [0, 1].
8(t - u) + 3(3t - u)
Answer:
17t-11u
Step-by-step explanation:
8(t-u)+3(3t-u)
8t-8u+9t-3u
8t+9t-8u-3u
17t-11u
Graham and julia each estimate the quotient of 4875 divided by 57 graham estimates that the quotient is about julia estimates that the quotient is about 800
Answer:
4875 / 57 = 85.53
Step-by-step explanation:
You are missing words, than I'm not sure what graham estimates...
The value of the quotient obtained after division is 85.5 which is close to the value estimated by Graham, so he is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data provided in the question,
Graham estimates the quotient about 80 and,
Julia estimates the quotient about 800.
The equation is,
4875 ÷ 57 = 85.5
The value of the quotient is 85.5 which is close to the value estimated by Graham, then he is correct.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ5
A line with a negative slope and a negative
y-intercept is graphed on a coordinate
plane. Which quadrant will the line not pass
through? Justify your response.
Answer:
First quadrant will the line not pass.Step-by-step explanation:
The given line has a negative slope. It means with increasing value of x, y will be decreasing. It has a negative y-intercept that is at x = 0, y is less than 0.
If the value of x will be greater than 0, the value of y will be going downwards continuously.
If x > 0, y < 0, as the line has a negative y-intercept.
A point in first quadrant means x > 0 as well as y > 0.
Hence, the line cannot pass through the first quadrant.
A line with a negative slope and a negative y-intercept will not pass through Quadrant I.
A line with a negative slope indicates that as the x-value increases, the y-value decreases. A negative y-intercept means that the line intersects the y-axis below the origin.
Quadrant I is the region of the coordinate plane where both x and y are positive. Since the line has a negative slope and a negative y-intercept, it will not intersect Quadrant I.
As the x-value increases in Quadrant I, both x and y will be positive, which contradicts the line's negative slope. Additionally, the line's negative y-intercept places it below the x-axis, further preventing it from intersecting Quadrant I.
Therefore, the line will pass through Quadrants II, III, and IV, but not Quadrant I.
-60=
−60=
\,\,-24+12r
−24+12r
Answer:
The answer is r = -3.
Step-by-step explanation:
Given:
-60=-24+12r.
Now, to solve it:
[tex]-60=-24+12r[/tex]
Adding both sides by 24 we get:
[tex]-36=12r[/tex]
Dividing both sides by 12 we get:
[tex]-3=r[/tex]
[tex]r=-3.[/tex]
Therefore, the answer is r = -3.