Answer:
(12[tex]\sqrt{2}\\[/tex], 45°), (-12√2, 225°)
Step-by-step explanation:
....mhm
In full honesty though, this is the right answer
Michela is training for a race. She runs 5 miles in 52 minutes. Her goal is to run 6 miles in 1 hour. By how many minutes per mile must Michela decrease the rate to meet her goal? explain your reasoning.
Answer:
.4
Step-by-step explanation:
52/ /4= 10.4
60/6=10
10.4-10=.4
Michela needs to increase her speed by 0.23 miles/hour to attain her goal.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
She runs 5 miles in 52 minutes.
5 miles in (52/60) hour
In 1 hour → 5(60/52) = 300/52 = 5.769
Her goal was 6 miles in 1 hour.
5.769 + x = 6
x = 0.23 miles/hour
Hence "Michela needs to increase her speed by 0.23 miles/hour to attain her goal".
To learn more about the rate of change here,
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Parents of students at a middle school
were randomly selected to participate
in a survey. Forty-two out of 60 parents
who were surveyed support a proposal to
buy new computers. There are a total of
456 parents with students at the middle
school. Which is the best estimate of the
number of those parents likely to support
the new proposal?
A. 182
B. 319
C. 365
D. 438
Answer:
(B). 319
Step-by-step explanation:
[tex]\frac{42}{60}[/tex] = [tex]\frac{x}{456}[/tex]
[tex]\frac{7}{10}[/tex] = [tex]\frac{x}{456}[/tex]
x = [tex]\frac{7*456}{10}[/tex] ≈ 319
The best estimate of the number of those parents likely to support the new proposal is 319. So the option is (B) 319.
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
Parents of students at a middle school were randomly selected to participate in a survey.
42 out of 60 parents who were surveyed support a proposal to buy new computers.
There are a total of 456 parents with students at the middle-school.
[tex]\dfrac{42}{60} = \dfrac{x}{456} \\\\\\x = \dfrac{42}{60} \times 456\\\\x = \dfrac{7}{10} \times 456\\\\x = 319[/tex]
Therefore, the best estimate of the number of those parents likely to support the new proposal is 319.
Learn more about directly inversely proportional relationship variable here:
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What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x? (1 point)
1) -6, 0, 4
2) 6, 0, -4
3) -6, 0, -4
4) 6,0, 4
f(x) = x³ - 2x² - 24x
x³ - 2x² - 24x = 0
x(x² - 2x - 24) = 0
x = 0
x² - 2x - 24 = 0
a = 1, b = -2, c = -24
Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100
x = (-(-2) - 10)/(2 * 1) = -8/2 = -4
x = (-(-2) + 10)/(2 * 1) = 12/2 = 6
Answer: 2)
Nixon receives an annual salary of $55,770. He receives 26 equal paychecks during the year. How much does he receive in each paycheck?
Answer:
2145
Step-by-step explanation: 55,770/26=2145
Answer:
answer = 2145 per paycheck
Step-by-step explanation:
Could you help with some geometry questions today!
Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!
Anyways, please show all of you work and explain your thinking! There are 3 parts to this, please do all 3! Good luck!
Answer:
A) 29, B) 18, C) 12Step-by-step explanation:
A) r = 29
Answered here: https://brainly.com/question/22226669B) The tangents to a circle have same length:
LK = LM4x - 2 = 3x + 34x - 3x = 2 + 3x = 5LM = 3*5 + 3 = 18
C) Use the intersecting secants theorem:
PQ*PQ = SQ*RQy² = (10 + 8)*8y² = 144y = 12the set of natural numbers x that satisfy x + 2= 1
Answer:
x = -1
x + 2 = 1
x = 1 - 2
x = -1
Hope that helps!
-Sabrina
Step-by-step explanation:
Please help I don't understand this
26.) Using x as the unknown number, write the statement below as an equation.
The sum of twice a number and 7 is equal to the sum of the number and 6
Answer:
true
Step-by-step explanation:
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $18. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $45. Find the cost for each pound of trail mix and each pound of jelly beans.
The cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .
What is elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
According to the question
A store is having a sale on trail mix and jelly beans .
Let trail mix = T
and jelly beans = J
For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $18.
i.e
5T + 3J = 18 -------------------------- (1)
For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $45.
i.e
2T + 12J = 45 -------------------------------(2)
Now,
multiplying eq (1) from 4
20T + 12J = 72 -----------------(3)
Solving equation (3) and (2) the equation by elimination method
20T + 12J = 72 -----------------(3)
2T + 12J = 45 -------------------------(2)
subtracting equation (2) from (3)
18T = 27
T = 1.5
substituting the value of T in equation 1
5T + 3J = 18
5*1.5 + 3J = 18
7.5 + 3J = 18
3J = 18 - 7.5
3J = 10.5
J = 3.5
Hence, the cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .
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Si un conductor llena su tanque con $600 y recorre 250 kilómetros, ¿Cuántos kilómetros podrá recorrer con $350 de combustible? (Explica cómo llegaste a tu respuesta)6666
Answer:
145.83 kilómetros.
Step-by-step explanation:
Si un conductor llena su tanque con $600 y recorre 250 kilómetros, para determinar cuántos kilómetros podrá recorrer con $350 de combustible se debe realizar el siguiente cálculo:
600 = 250
350 = X
350 x 250 / 600 = X
87,500 / 600 = X
145.83 = X
Así, con $350 de combustible se podrán recorrer 145.83 kilómetros.
Select all the expressions that are equivalent to 4x+2.
A 8x+48 x plus 4
B 12(8x+4)1 half times open paren 8 x plus 4 close paren
C 12(2x+1)1 half times open paren 2 x plus 1 close paren
D 2(2x+1)2 times open paren 2 x plus 1 close paren
E 2x+2x+1+1
and one brainleiss
Solve |3x – 2| = |x + 1| Question 12 options: A) x = 3∕2 or x = 1∕4 B) No solutions C) x = 3 or x = –4 D) x = 1∕4
Answer:
x = 3/2
Step-by-step explanation:
Step (1) :
We should put like term togther:
3x - x = 2 +1
2x = 3
Step (2) :
Divide bothe side by 2:
2x/2 = 3/2
x = 3/2
Customers are charged a late fee of 20% of their bill. This person is a week late on a bill of $200.00. What should we charge for the late fee?"
Answer:
$40
Step-by-step explanation:
Find the equation of a line parallel to 3x-4y=24 that contains the point (-4,2).
A rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet.
What is its volume, in cubic feet?
feet3
Answer:
504ft3
Step-by-step explanation:
V=Bh
V=(18x2) 14
V=36x14
V= 504
Answer:
volume = height × length ×width
volume =18×14×2
volume =504ft³
. The London Eye is a popular tourist attraction in London, England and is one of the largest Ferris Wheels in the world. It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes. It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride. Find a sinsuoid which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.
Answer:
[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]
Step-by-step explanation:
We can start solving this problem by doing a drawing of London Eye. (See attached picture).
From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:
[tex]y=-Acos(\omega t)+b[/tex]
where:
A=amplitude
[tex]\omega[/tex] = angular speed.
t= time (in minutes)
b= vertical shift.
In this case:
A= radius = 67.5 m
[tex]\omega=2\pi f[/tex]
where the frequency is the number of revolutions it takes every minute, in this case:
[tex]f=\frac{1}{30} rev/min[/tex]
so:
[tex]\omega=2\pi (\frac{1}{30})[/tex]
[tex]\omega=\frac{\pi}{15} rad/min [/tex]
and
b= radius, so
b=A
b=67.5m
so we can now build our equation:
[tex]y=-67.5cos(\frac{\pi}{15} t)+67.5[/tex]
which can be factored to:
[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]
You can see a graph of what the function looks like in the end on the attached picture.
The required sinusoidal equation is [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]
Given that,
It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.
It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.
We have to find,
A sinusoidal which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.
According to the question,
The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:
[tex]y = -Acos(wt) + b[/tex]
Where, A=amplitude , [tex]\omega[/tex] = angular speed, t= time (in minutes) , b= vertical shift.
Then,
[tex]Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m[/tex]
The frequency is the number of revolutions it takes every minute is determined by the formula is,
[tex]\omega = 2\pi f[/tex]
Where,
[tex]f = \dfrac{1}{30} revolution \ per \ minute[/tex]
Then,
[tex]\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute[/tex]
Here, The sinusoidal equation can be written as;
[tex]y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]
Hence, The required sinusoidal equation is [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]
To know more about Frequency click the link given below.
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What is the equation of the line in slope-intercept form?
Answer:
y=-5x+6
Step-by-step explanation:
To find your slope (or m value), you must identify 2 points that your line crosses through (I used (1,1) and (0,6). You can either count up and over to the point (0,6) from (1,1), or you can use the formula y2-y1/x2-x1 (it would look like 6-1/0-1). This will give you -5 for your slope.
Your x-intercept (or b value) is 6 because you can see from the graph that that is where your line intercepts y.
I hope this helped :)
An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane
take off in order to avoid crashing into the building?
Answer:
16.69°
Step-by-step explanation:
Given that,
Height of the building, h = 60 foot
Distance from the base of the building, b = 60 foot
We need to find the angle of elevation must the plane takes off in order to avoid crashing into the building. So,
[tex]\tan\theta=\dfrac{60}{200}\\\\\theta=\tan^{-1}\dfrac{60}{200}\\\\=16.69^{\circ}[/tex]
So, the required angle is 16.69°.
The work of a student trying to solve the equation 2(2x − 3) = 6 + 2x + 4 is shown below:
Step 1: 2(2x − 3) = 6 + 2x + 4
Step 2: 4x − 3 = 10 + 2x
Step 3: 4x − 2x = 10 + 3
Step 4: 2x = 13
Step 5: x = 6.5
In which step did the student first make an error and what is the correct step? (4 points)
Group of answer choices
Step 3: 4x + 2x = 10 + 3
Step 2: 4x − 3 = 2 + 2x
Step 3: 4x − 2x = 10 - 3
Step 2: 4x − 6 = 10 + 2x
Answer:
Step 2: 4x - 6 = 10 + 2x
Step-by-step explanation:
2 needs to be distributed to all terms inside the parentheses.
Answer:
Step 2 is wrong, and the right step 2 is 4x − 6 = 10 + 2x
Step-by-step explanation:
The student didn't multiply 2(3) in step 2
Which equation has the greatest positive rate of change?
O y = x - 2
O y = 4x + 4
O y = 2x - 4
O y = 0
Answer:
y=4x+4
Step-by-step explanation:
It has the biggest slope of the equations of 4, and increases the most.
Hey so can someone do my delta math for me
like i give u the questions and u answer yeah ok thanks
How do u solve this?
Answer:
? = 2 Full Answer: 1/2
Step-by-step explanation:
A regular die has only 6 numbers: 1, 2, 3, 4, 5, & 6.
In those numbers, there are 3 odd numbers, and 3 even numbers. This would mean that the probability of getting an odd number would be 3/6.
But to simplify it, 3/6 ALSO equals 1/2
Answer:
1/2 is the answer
Step-by-step explanation:
A die has 6 possible outcomes: 1, 2, 3, 4, 5, 6
Out of these numbers 3 are odd numbers.
P(Event) = Number of favourable outcomes/ Total number of outcomes
P(odd) = 3/6
= 1/2
PLS ANSWER GIVING 15 POINTS!!!
Answer:
Instead of adding the exponents of 2 to get four you should just leave the exponent as two in the final answer.
express as a difference.
a.) 7+3
b.) a+5
c.) a+b
First correct answer is Brainliest.
Answer:
Step-by-step explanation:
15-5
a-(-5)
a-(-b)
Leo baseball team scored 180 home runs they only have 50 games how many home runs did they score per game
Find the value of X and Y in the triangle
9514 1404 393
Answer:
x ≈ 7.00
y ≈ 12.21
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
Translated to the figure at hand, these are ...
cos(35°) = 10/y ⇒ y = 10/cos(35°) ≈ 12.21
tan(35°) = x/10 ⇒ x = 10·tan(35°) ≈ 7.00
Write the equation and solve:
I. You and three friends go to the town carnival. You have a coupon for $20 off that will
save your group money! If the total bill to get into the carnival was $100, how much does one
regular price ticket cost?
Write the equation and solve:
Answer:
The regular cost of each ticket is $30
Step-by-step explanation:
Hi,
You and three friends means there was a total of 4 people. Your equation is...
4x - 20 = 100
Remember to add the -20 since there was a coupon that saved you $20.
Now solve...
4x - 20 = 100
+ 20 on both sides
4x = 120
Divide by 4 on both sides
x = 30
The regular cost of each ticket is $30
Hope this helps :)
Answer:
e it's really first question re want to make this
each ticket would be $25 a regular
Step-by-step explanation:
please hurry up and answer
Answer:
y = 2x + 8
Hope this helps
The circumference of a circle is 124 inches. Determine the radius. Round to the nearest tenthC = 2πr
124 = 2(3.14)r
Answer:
radius:19.73521 Diamiter:39.47042 Area:1223.583
Step-by-step explanation:
Please help me, I don’t understand!
Answer:
y=9x+7
Step-by-step explanation:
the number in front of x is always the slope and the number after it is the Y intercept where the line first crosses the Y axis