Answer:
-7/45
-4/15+1/9 (two negatives make a plus or addition)
least common multiple of 15 and 9 = 45
45 is the denominator
15*3=45 , 9*5 = 45
-4*3 = -12 ,1*5 = 5
-12+5 = -7/45
Answer:
-7/45
Step-by-step explanation:
find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)
[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]
subtracting a negative = addition
[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
Help me please help me please help me please !!!!!!!!!!!!!
Answer: y = 1/4x - 1.
Step-by-step explanation: This line has a slope (rise over run) of 1/4, and a y-intercept of -1. Plugging those values into slope-intercept form (y = mx + b) gives you the answer.
The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
Function r gives the remaining amount of rice, in kilograms, as a function of the number of weeks since the restaurant
owner bought the rice.
Complete the table. Type the answers in the boxes below.
WEEKS
KILOGRAMS OF RICE LEFT
6
12
Answer:
6 weeks = 48 kg
12 weeks = 21 kg
Step-by-step explanation:
6 weeks:
4.5 x 6 = 27 kg
75 - 27 = 48 kg
12 weeks:
4.5 x 12 = 54 kg
75 - 54 = 21 kg
Hope this helps!
What is the equation for a parabola if the vertex is at (5,4) and goes through the point (3,-8)
Answer:
[tex]y=-3(x-5)^2+4[/tex]
Step-by-step explanation:
Hi there!
Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:
[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value
1) Plug the vertex into the equation
[tex]y=a(x-h)^2+k[/tex]
Plug in the vertex (5,4)
[tex]y=a(x-5)^2+4[/tex]
2) Solve for a
[tex]y=a(x-5)^2+4[/tex]
Plug in the given point (3,-8) and solve for a
[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]
Subtract 4 from both sides
[tex]-8-4=4a+4-4\\-12=4a[/tex]
Divide both sides by 4
[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]
Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:
[tex]y=-3(x-5)^2+4[/tex]
I hope this helps!
I also need help with this lol
Answer:
Luca
Step-by-step explanation:
Juan 566/734 = 0.7711
Luca 7/9= 0.7777
Luca has a greater percentage
Tonya's dog walking service charges a flat rate of $20 per month, plus $3 Per mile that each dog is walked. Beth does not charge a monthly fee for her dog walking service, but she charges five dollars per mile that each dog is walked.
pls helppp!
Answer:
A) 20+3m = 5m
Step-by-step explanation:
20+3m = 5m
20 = 2m
m = 10
after each girl has walked dogs for 10 miles, their amount they charge would be equal
Tonya would charge: 20+3(10) = 20+30 or $50
Beth would charge: 5(10) or $50
- 3/8 + 1/6
i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go
Answer:
[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]
Mr sharma can do 1/15part of piece of work in 1 day he worked for 3 days and left if Vishnu finished the remaining work how much work is done by bishnu?
Answer:
12/15
Step-by-step explanation:
if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15
The 12 pair pack of socks includes 4 pairs of Polo, 5 pairs of plain white socks, and a few grey pairs. What is the Possibility of pulling a pair of grey sock two times in a row? The first pair is not to be returned.
Answer:
2/11
Step-by-step explanation:
12-4-5=3
So now we know that we have:
4 pairs of polo socks
5 pairs of plain white socks
3 pairs of grey socks
To pull a grey sock one time is 3/12 since there are 12 total socks and 3 pairs of grey socks but since we remove a sock, in the second time, the probability would be 2/11.
Hope this helps! Brainliest?
Help me! PLEASE! help help help help help help help help help help help help!!!!!!
Sara's results probably do have a higher mean, if we take into account how William is way more willing to pay 20 dollars. Honestly, I think you got your chosen answers right! Just my opinion, as someone inexperienced.
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
It is 34.90
Step-by-step explanation:
Your welcome!
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
Te diagonal of a kite will form a parallelogram.
explanation:
Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.
hope it helps
Mark me as brainlist
pls help me i don't know what to do
Answer:
C
Step-by-step explanation:
the size of the steps gives you the number before x
and the -1 , +4 is just what left when x equals zero, so in the two tables we find it in row two
Math help please help fast
Step-by-step explanation:
Angle C: 50 degrees
Angle E: 55 degrees
Angle D: 50 degrees
Angle A: 125 degrees
Angle B: 75 degrees
Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?
Answer:
45ml
Step-by-step explanation:
10 kg needs 18mL
So, 1kg = 1.8ml
25kg needs = 1.8kg/ml x 25 kg
25 kg dog would need 45ml.
Answer:
45 ml
Step-by-step explanation:
Weight of the dog and quantity of medicine is in Direct proportion.
Let the quantity required for 25 Kg dog =x
10 : 18 :: 25 : x
Product of extremes = product of means
10 * x = 18 * 25
[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]
what is the solution of in(x-2)^2=6
Answer:
22.09
Step-by-step explanation:
Given the expression ln(x-2)^2=6
Take exponent of both sides
e^ln(x-2)^2=e^6
(x-2)² = e^6
(x-2)² = 403.43
x - 2 = √403.43
x - 2= 20.09
x = 20.09 + 2
x = 22.09
Hence the value of x is 22.09
Which term is a perfect square of the root 3x^4
Find the volume of this shape
(17)
Answer:
84mm^3
Step-by-step explanation:
multiply 12 by 7
HELP ASAP
Answer:
it think it is 26
Step-by-step explanation:
as angle on a straight line add up to 180
so 180-64-90=26
hope this helps :)
the sixth graders rasied money to fund a feild trip. the five classes raised $42, $51, $38, $49, and $40. what is the median on the ammount of money raised?
a. $36
b. $42
c. $40
d. $13
Answer:
The median is $42, or B.
Step-by-step explanation:
Our numbers are :
42, 51, 38, 49, and 40.
The first step to finding the median is ordering the numbers from least to greatest.
38, 40, 42, 49, 51.
Now we find the number perfectly in the middle - that's 42, between 49 and 40. The median is $42, or B.
Please mark brainliest!
A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?
Answer:
20000
Step-by-step explanation:
The greatest value obtained by sin(x) is 1.
So the greatest amount of insects is 12,000 + 8000(1)=20000.
The greatest number of insects are 20000.
What is trigonometric function?"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.
The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "
We have,
y = 12000+8000 sinθ
The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]
∴ sinθ = 1
substitute sinθ = 1 in given equation
y = 12000+8000 (1)
⇒ y = 12000+8000
⇒ y = 20000
Hence, The greatest number of insects are 20000.
Learn more about trigonometric function here
https://brainly.com/question/22600237
#SPJ2
Bab isn’t big-brained enough for mafs. Help, please?
If polygon ABCD rotates 70° counterclockwise about point E to give polygon A'B'C'D', which relationship must be true? A. BB' = DD' B. m∠ABC < m∠A'B'C' C. m∠ABC > m∠A'B'C' D. A'E' = AE
Answer:
A'E' = AE
Step-by-step explanation:
Transformation is the movement of a point from its initial position to a new position. Types of transformation are rotation, reflection, translation and dilation. If an object is transformed then all its points are also transformed.
Rigid transformations are transformations that preserves the shape an size of an object (i.e. the side length and angles). Examples of rigid transformations are rotation, translation and reflection.
Since rotation is a rigid transformation, the side lengths and angles of polygon A'B'C'D' would be the same as that of polygon ABCD. Therefore:
A'E' = AE
Figure ABCD is a kite. Find the
value of x.
B
A 2x + 10
С
2x
D
x = [?]
Enter
Answer:
x = 20
Step-by-step explanation:
The diagonals of a kite are perpendicular to each other, so the 4 angles at the intersection are right.
The sum of the 3 angles in a triangle sum to 180° , then
2x + 2x + 10 + 90 = 180
4x + 100 = 180 ( subtract 100 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Answer:
20 is the answer
Step-by-step explanation:
Correct for Acellus!
hrs 45 min 67+ hrs 3. min 67
Answer:
hrs 50 min 14
Step-by-step explanation:
hrs 45 min 67 = hrs 46 min 7
hrs 3. min 67 = hrs 4 min 7
Total
hrs 46 min 7
+ hrs 4 min 7
————————
hrs 50 min 14
Choose all the equations that are true if y = 6. 52.37 – 46.37 = y 45y =445 8y = 48 3.2 + y = 9 y ÷ 4 = 24
Answer:
52.37 – 46.37 = y
8y = 48
Step-by-step explanation:
Choose all the equations that are true if y = 6. 52.37 – 46.37 = y 45y =445 8y = 48 3.2 + y = 9 y ÷ 4 = 24
We solve for y in all the equations :
52.37 – 46.37 = y
52.37 – 46.37 = 6 (True)
45y =445
Divide both sides by 45
45y/45 = 445/45
y = 9.888 (False)
8y = 48
y = 48/8
y = 6 (True)
3.2 + y = 9
y = 9 - 3.2
y = 5.8 (false)
y ÷ 4 = 24
y/4 = 24
y = 24 * 4 = 96 ( false)
Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement. (a) Suppose I draw n times. Let X., be the number of times I saw a green ball followed by a yellow ball. Calculate the expectation Ex, (b) Let y be the number of times I drew a green ball before the first white draw. Calculate E[Y]. Can you give an intuitive explanation for your answer
Answer:
[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]
[tex]E(y)=\frac{14}{9}[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size n=9
Number of Green [tex]g=4[/tex]
Number of yellow [tex]y=4[/tex]
Number of white [tex]w=4[/tex]
Probability of Green Followed by yellow P(GY) ball
[tex]P(GY)=\frac{4}{9}*\frac{3}{9}[/tex]
[tex]P(GY)=\frac{4}{27}[/tex]
Generally the equations for when n is even is mathematically given by
[tex]Probability of success P(S)=\frac{4}{27}[/tex]
[tex]Probability of Failure P(F)=\frac{27-4}{27}[/tex]
[tex]Probability of Failure P(F)=\frac{23}{27}[/tex]
Therefore
[tex]E(X_n)=\frac{n}{2}*P[/tex]
[tex]E(X_n)=\frac{n}{2}*\frac{4}{27}[/tex]
[tex]E(X_n)=\frac{2n}{27}[/tex]
Generally the equations for when n is odd is mathematically given by
[tex]\frac{n-1}{2}[/tex]
[tex]E(X_n)=\frac{n-1}{2}*\frac{4}{27}[/tex]
[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]
b)
Probability of drawing white ball
[tex]P(w)=\frac{2}{9}[/tex]
Therefore
[tex]E(w)=\frac{1}{p}[/tex]
[tex]E(w)=\frac{1}{\frac{2}{9}}[/tex]
[tex]E(w)=\frac{9}{2}[/tex]
Therefore
[tex]E(y)=[E(w)-1]\frac{4}{9}[/tex]
[tex]E(y)=[\frac{9}{2}-1]\frac{4}{9}[/tex]
[tex]E(y)=\frac{14}{9}[/tex]
An object is launched from a platform. its height in meters X seconds after the launch is modeled by h(x)=-5x^2+20x+60 how many seconds after launch Will the object land on the ground
Answer:
6 seconds after launch.
Step-by-step explanation:
You should make sure there aren't odd symbols in your question when you post it.
Assuming it is just the equation -5x^2 + 20x + 60, if you graph it you can see the path of the ball. at x=0 this is the starting point It then hits the ground when it touches the x axis. So this is finding zeroes of a quadratic.
You could do this several ways; find a way to factor it, guess and check, the quadratic formula or completing the square. I will complete the square as that is what I am most used to. If you would like to see another let me know.
The first step in completing the square is making sure the x^2 has a coefficient of 1, so now it has -5 so we have to factor out -5 from the equation.
-5x^2+20x+60 = -5(x^2 - 4x - 12)
Now you only really need to focus on the factored expression, but I will continue writing everything. The next step is to find (b/2)^2 where b is the coefficient of the x term. In this case -4. so (b/2)^2 = (-4/2)^2 = 4.
Again, focusing on x^2 - 4x - 12 you want to add and subtract (b/2)^2 from that expression. since you are adding and subtracting you are not changing the value, but we can use this.
-5(x^2 - 4x - 12) = -5(x^2 - 4x - 12 + 4 - 4)
Here you want to rearrange it a bit. Originally c was the constant term, -12, now you want it to be the positive (b/2)^2, which is positive 4. also you can combine the two other constant terms. the original c and -(b/2)^2, but I will hold off for now so I don't do too much at once.
-5(x^2 - 4x - 12 + 4 - 4) = -5(x^2 - 4x + 4 - 12 - 4)
Now you focus on x^2 - 4x + 4. Hope fully you recognize this is the same as (x-2)^2. This always happens at this step of the process. also notice -2 = b/2. Using only variables here are the first steps.
ax^2 + bx + c
a(x^2 + (b/a)x + (c/a))
a(x^2 + (b/a)x + (c/a) + (b/(2a))^2 - (b/(2a)^2)
a(x^2 + (b/a)x + (b/(2a))^2 + (c/a) - (b/(2a))^2)
a((x + b/(2a))^2 + (c/a) - (b/(2a))^2)
Again, being able to make x^2 - 4x + 4 into (x-2)^2 or x^2 + (b/a)x + (b/(2a))^2 into (x + b/(2a))^2 willa lways happen. this is because if you expand (x + b/(2a))^2 you always get x^2 + (b/a)x + (b/(2a))^2.
Now I would combine the -12-4
-5(x^2 - 4x + 4 - 12 - 4) = -5((x - 2)^2 - 12 - 4) = -5((x - 2)^2 - 16)
If you redistribute the -5 you get vertex form, but I am going to stop here because I will just undo that in the next step. So this is the form you want. Finally we can find when it equals 0. So, you set this equal to 0 and use algebra to solve.
-5((x - 2)^2 - 16) = 0
Divide both sides by -5
(x-2)^2 - 16 = 0
add 16 to both sides
(x-2)^2 = 16
Take the square root of both sides, but also count botht he positive and negative version of the answer. the reason is both 2 and -2 squared get you 4.
x - 2 = +/-4
I am using +/- to indicate I am using both positive and negative 4. Now though add 2 to both sides. since you have +/- 4 you are going to get two different results. -4+2 and 4+2
x = -2 and 6.
now, the question wants times after x=0 (the start) so you only get 6. so x=6, or in other words 6 seconds after launch.
Let me know if you have any questions.
Answer:
6
Step-by-step explanation:
sorry no step by step explanation because I’m in a rush please mark me as brainliest bye have a great day !!! :D
Select all the equations
represented by this tape diagram.
A. 6 + 6 + 6 + 6 + 6 = ?
B. 5 + 6 = ?
C. ? = 6.5
D. ? = 6.6.6.6.6
E. ? = 5 = 6
F.5 = ?= 6
Answer:
D.
is the correct answer
please help me I will mark as a brainliest
Answer:
think that this might help you