Answers
Answer:
18 MARK AS BRAINLIEST OR ELSE!!!!
Step-by-step explanation:
area = 1/2h(sum of bases)
area = 1/2x3(3+9)
area = 1/2 of 36
area = 18
Related Questions
Help ASAP ASAP number 6
Answers
Find the missing Length X
Help me !!!!
A.12
B.11
C.5
Answers
Answer:
Step-by-step explanation:
Δ PQR ~ ΔJKL ⇒ PQ : JK = PR : JL
9 : 6 = x : 8
6x = 72 ⇒ x = 12
In the rope climb, a 75 kg athlete climbs a vertical distance of 5.0 m in 9.0 s. What minimum power output was used to accomplish this feat?
___ W
Answers
Answer:
The minimum power output used to accomplish this feat is 408.625 watts.
Step-by-step explanation:
The minimum power is that needed to overcome potential gravitational energy at constant velocity. From Principle of Energy Conservation, Work-Energy Theorem and definition of power we obtain the following relationship:
[tex]\dot W = m\cdot g \cdot \dot y[/tex] (Eq. 1)
Where:
[tex]m[/tex] - Mass of the athlete, measured in kilograms.
[tex]g[/tex] - Gravitational constant, measured in meters per square second.
[tex]\dot y[/tex] - Climbing rate, measured in meters per second.
[tex]\dot W[/tex]- Power, measured in watts.
By the consideration of constant velocity, we get that the climbing rate is represented by:
[tex]\dot y = \frac{s}{t}[/tex] (Eq. 2)
Where:
[tex]s[/tex] - Travelled distance, measured in meters.
[tex]t[/tex] - Time, measured in seconds.
And by substituting on (Eq. 1), the following expression is found:
[tex]\dot W = \frac{m\cdot g\cdot s}{t}[/tex]
If we know that [tex]m = 75\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]s = 5\,m[/tex] and [tex]t = 9\,s[/tex], then the minimum power output is:
[tex]\dot W = \frac{(75\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (5\,m)}{9\,s}[/tex]
[tex]\dot W = 408.625\,W[/tex]
The minimum power output used to accomplish this feat is 408.625 watts.
9x⁴-3x²+1
Does anyone know how to solve this question?
It would be really helpful if you'd help me.
thank you so much
Answers
Simplifying the equation:
We are given the bi-quadratic equation:
9x⁴-3x²+1
to factorise this equation, we will convert it to a quadratic equation and factor it from there
in the given equation, let x² = y
now, the equation looks like:
9y² - 3y + 1
Finding the Factors (in terms of y):
Using the quadratic formula: x = -b±√(b²-4ac) / 2a
replacing the variables in the equation
y = [-(-3) ± √[(-3)² - 4(9)(1)]]/2(9)
y= [3 ± √-27]/18
y = (1 ± √-3 / 6)
The 2 solutions are:
y = (1 + √-3 / 6) and y = (1 - √-3 / 6)
Finding the values of 'x':
Since y = x²:
x² = (1 + √-3 / 6) and x² = (1 - √-3 / 6)
taking the square root of both sides
x = √(1 + √-3 / 6) and x = √(1 - √-3 / 6)
As we can see, the given equation has complex roots and cannot be simplified further
Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:
(a) the probability that a single score drawn at random will be greater than 110
(b) the probability that a sample of 25 scores will have a mean greater than 105
(c) the probability that a sample of 64 scores will have a mean greater than 105
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
Answers
Answer:
(a) 0.2033
(b) 0.0188
(c) 0.0004
(d) 0.095
Step-by-step explanation:
(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 - 100)/12 = 0.83
So P (X > 110) = P (Z > 0.83) = 0.2033
(b) Probability that a sample of 25 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08
P (X> 105) = P (Z > 2.08) = 0.0188
(c) Probability that a sample of 64 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33
P (X> 105) = P (Z > 3.33) = 0.0004
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:
(105-100) / 3 = 1.67
and for X= 95 ==> Z = (95 - 100)/3 = - 1.67
P (X > 105) = P (Z > 1.67) = 0.0475
P (X < 95) = P (Z < -1.67) = 0.0475
which add up to: 0.095.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 100, hence [tex]\mu = 100[/tex].Standard deviation of 12, hence [tex]\sigma = 12[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 110, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{12}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033
0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
Item b:
Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].
This probability is 1 subtracted by the p-value of Z when X = 105, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{2.4}[/tex]
[tex]Z = 2.08[/tex]
[tex]Z = 2.08[/tex] has a p-value of 0.9812.
1 - 0.9812 = 0.0188
0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
Item c:
Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{1.5}[/tex]
[tex]Z = 3.33[/tex]
[tex]Z = 3.33[/tex] has a p-value of 0.9996.
1 - 0.9996 = 0.0004
0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
Item d:
Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].
Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
2 x 0.0475 = 0.095
0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
A similar problem is given at https://brainly.com/question/24663213
Explain how to creatExplain how to create an equation with infinitely many solutions.
e an equation with infinitely many solutions.
Answers
Answer:
In this case, the idea is that you have to create something that makes both the right side of the equation and the left side to be equal to each other which gives you an infinite number of solutions. so if you have 5x-8 on the left, you need 5x-8 on the right for everything to cancel and end up with 0=0.
Step-by-step explanation:
Answer: You can start with any statement in the form a = a. Then add the same variable term to both sides, and add the same constant term to both sides. Combine like terms on each side.
Step-by-step explanation:
Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.
Answers
Answer:
y = -2x + 7
Step-by-step explanation:
y = -2x + 4
Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.
y-intercept through point (3, 1):
y = mx + b
1 = -2(3) + b
1 = -6 + b
b = 7
Equation of line that is parallel to original:
y = mx + b
y = -2x + 7
hhhhhhhheeeeeeeeeellllllllllpppppppppp
Answers
answer: d
explantion :
Factor the numerator and denominator and cancel the common factors.
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answers
Answer:
Whats a kayak?
Step-by-step explanation:
If the radius of a sphere is reduced to one-third, by how many times does its
volume decrease?
Answers
Answer:
It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times
Step-by-step explanation:
The volume of a sphere is given by the following formula:
[tex]V = \frac{4}{3}\pi r^3[/tex]
Here r is the radius of the sphere
Reducing the radius of sphere to one-third means dividing the radius by three. So the new radius will be: [tex]\frac{1}{3}r[/tex]
The new volume with the new radius will be:
[tex]V_1 = \frac{4}{3}\pi * (\frac{1}{3}r)^3\\V_1 = \frac{4}{3}\pi * \frac{1}{27}r^3\\V_1 = \frac{1}{27}(\frac{4}{3}\pi r^3)\\V_1 = \frac{1}{27}V[/tex]
The new volume is 1/27 times of the original volume.
Hence,
It can be concluded that reducing the radius to one-third will reduce the volume of sphere 1/27 times
A road crew is paving a 45-mile stretch of highway. If the crew can pave 110 mile of highway each day, how long will it take the crew to finish the job?
3 days
5 days
6 days
8 days
Answers
Answer:
3 day answer hai bro
Answer:
the correct answer is 8 days.
randy has 30 rooms to clean in his house he completes 1/2 of cleaning his room in 3/4 of a hour if he continues at this rate what fraction of the room will be completed in one hour.
Answers
Answer:
randys life kinda stinks
Step-by-step explanation:
5/8 hope it helps
PLEASE HELP
What is the difference (2 x minus 3) minus (x minus 1)?
x minus 4
x minus 2
x + 2
x + 4
Answers
This is because 2x - x = x and -3 - -1 = -2 (the two negative signs turn into a positive so you add 1 instead of subtracting it.
What is 5/8 divided by 1/4?
Answers
Answer:
The answer is 5/2
hope that helps
Answer:
2 1/2 or 5/2
Hope this helps :)
use the formula y=mx+ c to work out the value ofy when m=8 x=3 c=4
Answers
Answer:
m = 21 = 2
b = 1 (value of y when x=0)
So: y = 2x + 1
With that equation you can now ...
... choose any value for x and find the matching value for y
For example, when x is 1:
y = 2×1 + 1 = 3
Check for yourself that x=1 and y=3 is actually on the line.
Or we could choose another value for x, such as 7:
y = 2×7 + 1 = 15
And so when x=7 you will have y=15
Positive or Negative Slope?
Going from left-to-right, the cyclist has to Push on a Positive Slope:
negative slope zero slope positive slope
Example 2
y=-3x graph
m = −31 = −3
b = 0
This gives us y = −3x + 0
We do not need the zero!
So: y = −3x
Example 3: Vertical Line
graph x=2
What is the equation for a vertical line?
The slope is undefined ... and where does it cross the Y-Axis?
In fact, this is a special case, and you use a different equation, not "y=...", but instead you use "x=...".
Like this:
x = 1.5
Every point on the line has x coordinate 1.5,
that is why its equation is x = 1.5
Rise and Run
rise and run
Sometimes the words "rise" and "run" are used.
Rise is how far up
Run is how far along
And so the slope "m" is:
m = riserun
You might find that easier to remember.
Animation
Now Play With The Graph !
You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph
Step-by-step explanation:
What is the equation of the line in slope-intercept form? Enter your answer in the boxes y = __x + __
Answers
Answer:
y = 3/5x + 3
Step-by-step explanation:
Determine what information you would need to know in order to use SAS to show that the triangles are congruent
Answers
Answer:
Option D
Step-by-step explanation:
We already have two reasons to support two sides. We have the reflexive property and that the base is divided by a midpoint. So we will need an angle.
Also, AC is the median so it divides into two congruent angles and parts
Option D, because the reflexive property is then included in that part
PLEASE HELP ME ASAP (ANSWER BOTH) THANK YOU!
Answers
Answer:
1/3 is the slope but it does not show the graph so I can't give you the answer
factorise fully
3x^3 - 9x
Answers
What is the seventh term of (x-y) ^ 8 ?
Answers
Answer:
-8xy^7
Step-by-step explanation:
Given: AB ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate:
Answers
Answer:
Step-by-step explanation:
Given that
AB n GF = O
E ∈ ∠GOB
H ∈ ∠AOF
The we can say, using similar angles or triangles, that
BF = AG
EG = AH
BG = FA
Please answer this question correctly
A 2-yard piece of ribbon costs $22.32. What is the price per inch?
You have to divide
Answers
dont be childish I will report thanks
Answers
Your answer is 12/-6
If you need your answer simplified, it's -2
If you have any questions, problems, or corrections, let me know
Answer:
I believe the answer is -2
Step-by-step explanation:
[tex]\frac{|-12|}{-|6|}[/tex] will now be written as [tex]\frac{12}{-6}[/tex]
12 divided by -6 equals -2
hope this helps
solve the quadratic equation 3x²+x-4=0
Answers
Answer:
{ - [tex]\frac{4}{3}[/tex] , 1 }
Step-by-step explanation:
3x² + x - 4 = 0
D = 1² - 4(3)(- 4) = 49 = 7²
[tex]x_{1}[/tex] = ( - 1 + 7) ÷ 2(3) = 1
[tex]x_{2}[/tex] = ( - 1 - 7) ÷ 2(3) = - [tex]\frac{4}{3}[/tex]
{ - [tex]\frac{4}{3}[/tex] , 1 }
(54+6)+10=
how to answer?
Answers
Answer:
add 54+6 =60 then add 10 =70 first add the one in brackets then add the other one
What is the value of x?
150°
3xº
Answers
Answer:
the answer is 50
Step-by-step explanation:
150 / 3 = 50
Answer:
50
Step-by-step explanation:
Find an equation of the hyperbola having foci at (-9,-4) and (7,-4) and vertices at (-6, -4) and (4.-4).
Answers
Answer:
-9,-4
Step-by-step explanation:
Mrs. Frazier had 95 inches of ribbon. She gave 14.4 inches to Sara and 27.8 inches to Mary. If she divides the remainder between Jenny and Susie, how much will each girl receive? pls help
Answers
Answer:
26.4
Step-by-step explanation:
95-14.4-27.8=52.8
52.8/2=26.4
Hope I helped!
Please mark Brainliest!!!
Pls hellllp will gib brainliest
Answers
Answer:
B
Step-by-step explanation:
312-96=216
216/24=9
Answer:
B
Step-by-step explanation:
24x9+96
Can you solve this?: 5+2x=12+x
Answers
Answer:
5+2x=12+x
put all numbers and Xs on one side each
-x=7
so x=-7
