Answer:
[tex]p=1/2\ or\ 0.5\ inches[/tex]
Step-by-step explanation:
From the question we are told that
Equation of cross section is [tex]y+5= \frac{1}{2x^2}[/tex]
Generally the equation can be rewritten mathematically as
[tex]y+5= \frac{1}{2}x^2[/tex]
[tex]x^2=(y+5)2[/tex]
[tex](x-0)^2=(y-(-5))2[/tex]
Generally the equation of a parabola with vertical axis is mathematically given by
[tex](x - h)2 = 4p(y - k)[/tex]
Therefore comparing equations
[tex](x-0)^2=(y-(-5))2[/tex]
[tex]4p=2[/tex]
[tex]p=2/4[/tex]
The distance from the bulb to the vertex of the cross section is given by
[tex]p=1/2\ or\ 0.5\ inches[/tex]
An automobile manufacturer claims that its van has a 59.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 59.5. Assume the variance is known to be 2.89. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
Test statistic Z = 1.8099
Step-by-step explanation:
Step(i):-
Given that mean of the Population (μ) = 59.1 miles/gallon
Mean of the sample (x⁻ ) = 59.5
The standard deviation of the Population = 2.89
mean of the sample (n) = 160
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]
Z = 1.8099
Test statistic = 1.8099
helppppppppppppppppppppp
Answer:
$7.20
Step-by-step explanation:
60% of 4.5 = 2.7
4.5+2.7 = $7.2
Answer:
7.2
Step-by-step explanation:
So u do 60% of 4.5 and add ur answer to 4.5
A baby elephant weighs 200 pounds at birth. It gains 3 pounds every day. Write an equation that represents this situation.
Answer:
y=200+3x
Step-by-step explanation:
I hope that this helps you
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Answer:
See explanation below
Step-by-step explanation:
Explain what is the difference between the solutions to 2x=10 and 2x > 10
Given the equations;
2x = 10
x = 10/2
x = 5
For the equation 2x > 10
x > 10/2
x > 5
The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5
1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12
Answer:
33
Step-by-step explanation:
3(3) + 2 (2(3)+6)
=9 + 2 (12)
=9 + 24
=33
QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5
Answer:
The answer is x = 20
Step-by-step explanation:
If you set both equations equal to each other and solve for x, you will get 20.
3x+32 = 5x-8 add 8 to both sides
3x+40 = 5x subtract 3x from both sides
40 = 2x divide by 2 on both sides
20 = x
Solve for x (round to the nearest thousandth)
to
FREE
HEALTH
le
110
CA
65
40°
х
Answer:
x = 79.799
Step-by-step explanation:
Apply trigonometric ratio formula to find x.
Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.
✔️Adjacent length of the triangle with reference angle 40°:
tan (40) = 110/adj
adj*tan(40) = 110
Adjacent length = 110/tan(40)
Adjacent length = 131.093 (nearest thousandth)
✔️Adjacent length of the triangle with reference angle 65°:
tan (65) = 110/adj
adj*tan(65) = 110
Adjacent length = 110/tan(65)
Adjacent length = 51.294 (nearest thousandth)
✔️Find x:
x = 131.093 - 51.294
x = 79.799
AABC = AGMN
mzA = 35°, m_M = 4x + 5°, m N = 6x, Find x
Answer:
35+4x+5+6x=180
10x=180-40
x=140/10
x=14
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer:
Susana will have 107 students.
Step-by-step explanation:
Becca have students = 115
Susana has 8 fewer students than Becca.We can write its as:
Becca has 115 students, so Susana will have 115-8 = 107 students
Because fewer means less than so, 8 less than 115 is 115-8
Erika has 25 more students than Susana.We can write it as:
Susana has 107 students, so Erika will have: 107+25 = 132 students.
because more means we need to add 25 students with number of students in Susana class.
So, Susana will have 107 students.
William was parasailing at about 900 feet in the air while a shark swam
directly below him at 30 feet below the surface of the ocean. How far is
William from the shark?*
Answer:
930m
Step-by-step explanation:
It says they were 900 feet in the air below him is the ocean so thats 900 meters away from him and the shark is 30 feat below the surface of the ocean so you would do 900+30=930m so the shark is 930m away from him
Please answer this correctly without making mistakes
Answer:
1 mi 1927 ft
Step-by-step explanation:
Turn everything into feet:
5mi x 5280 ft/1 mi = 26,400ft + 1,348 ft = 27, 748 ft
3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft
Do the subtration that the problem wants you to do:
27, 748 ft - 20,541 ft = 7,207 ft
Turn the answer into mi & ft:
7,207 ft - 5280 ft = 1927 ft
=
1 mi 1927 ft
Pls help I need a good grade
Answer:
y=4/7x
Step-by-step explanation:
Graph the point (4,7) and (0,0) because x is pint and y is servings
The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.
How many terms are in the following expression?
2x+4y+8-2
Answer:
3
Step-by-step explanation:
In this expression, the first term is 2x, then 4y, then 8-2 (which simplifies to 6).
O will give te brainliest plz help
Answer:
B
Hope it helps uwu
A printer prints 24 pages in 3 minutes which unit rate is correct
Answer:
8 pages per minute
Step-step explanation:
24 / 3
In a bag of Starbursts, 30% of the bag is pink. There are 90 pink starbursts in the bag. How many Starbursts are in the bag?
Answer:
27
Step-by-step explanation:
3/10 / 30% / .3
3 x
10 90 -use criss cross method so 3 and 90 and x times 10
270 =10x
27=x
you can also go on a calculator and type 90 times 0.3 and get the answer too
Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12
He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.
Answer:
He did not multiply 2/3 by a fraction equal to 1.
Step-by-step explanation:
For example he could have multiplied 2/3 by 4/4
= 2*4/3*4 = 8/12,
You leave a 10% tip on a $30 dinner bill. Find he amount of the tip and add it to
$30. How much is your total bill, including the tip? *
so since you're only doing 10% of 30, you get 3
add 3 to 30 and you get 33
Helppppppppp plzzzzz
Answer:
1) 25, 2) 6
Step-by-step explanation:
• 6 mystery books
5 science books
• 4 history books
3 adventure books
.
Robero will randomly choose 1 book to read. What is the probability that he will
choose an adventure book?
Answer:
Step-by-step explanation:
How many books are there?
6+5+4+3 = 18 books total
How many are adventure books?
3
3 out of 18 books are adventure books
Robero has a 3/18 probability of choosing an adventure book.
Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.
You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).
3/3 = 1
18/3 = 6
So the fraction can be reduced to 1/6.
Robero has a 1/6 chance of choosing an adventure book.
7. A bag of M&Ms dumped on the table and you court 91 blue pieces Approximately how many
M&ms do you expect to be in the entire bag based on the proportions of the entire class?
Answer:
i would think that there would be at least 100 m&m in the bag
Step-by-step explanation:
i might be wrong a hven't had m&m in about 10 years
WORTH 20 POINTS PLS HELP!!!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part B: There is a positive and negative x intercept for this function. What is the positive x-intercept?
Explain what this x-intercept represents in the given situation.
h(x)=-16x2+64x+80
Here the positive intercept should be considered as the -1 and 5.
Calculation of the positive intercept:Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.
In this case it would be 0 feet.
So,
[tex]h(x)= -16x^2-16x+80x+80[/tex]
h(x)= -x(16x-16) +5(16x+16)
h(x)= (-x+5)(16x+16)
x intercepts = -1 and 5
Learn more about intercept here: https://brainly.com/question/15546484
The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and approximately 95% of the heights are between 62 and 74inches. Thus, the standard deviation of the height distribution is approximately equal to
Answer:
Probably equal to 6 or 7.
Step-by-step explanation:
What's equivalent to 2/5?
Answer: 4/10 , 6/15, 8/20,
Step-by-step explanation:
Answer: Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/
Step-by-step explanation:
Find the measure of<1
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate
Answer:
1)k=1.50408
2)=64
3)P(t)=64e^(1.50408t)
4)=118098
5)t=6.42 hrs
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.
1. What is the relative growth rate?
2. What was the initial size of the culture?
3. Find an expression for the number of bacteria after t hours.
4. Find the number of cells after 5 hours.
5. When will the population reach 1000000?
To find relative growth rate, expression below can be used
P(t)= Po*e^(kt)
Where k= growth rate
Po= initial amount
t= time in hours
We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as
P(2)= P(o)e^(2k)= 1296.........eqn(1)
P(6)= P(o)e^(6k)= 531441........eqn(2)
If we find the ratio of the two eqn we have
531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]
410.0625= e^(4k)
If we take Ln of both side
ln 410.0625=ln(e^4k)
k=1.50408
1)= k=1.50408
2)
From P(2)= Po*e^(2k)= 1296
1296=Po × e^(2×1.50408)
1296= Po × e^(3.00816)
Po=1296/e^(3.00816)
=64
3) the expression is P(t)=64e^(1.50408t)
4). P(5)=64e^(1.50408×5)
=118098
5) P(t)= 1,000,000
1000000=64e^(1.50408t)
1000000/64 = 64e^(1.50408t)
Ln(15625)=ln[e^(1.50408t)]
9.657=e^(1.50408t)
t=6.42 hrs
Steve and Andy are playing pool. After the break, Andy is solids which is numbers 1 through 7 (the number 8 ball is the last one to hit into a pocket). How many different combinations can he have for sinking his solids into the six pockets?
Steve ends up winning the game as he hit in all his striped pool balls (9 through 15) and the 8 ball. How many different combinations did he have in his victory?
______________________________
Andy's Combinations:= 7 Balls × 6 Pockets= 42 Different CombinationsSteve's Combinations:= 8 Balls × 6 Pockets= 48 Different Combinations______________________________
An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
The height of the oak tree is
meters.
Answer:
The answer is 6.5 meters tall
Step-by-step explanation:
650 divided by 100
do your 2 loops to the left and you get 6.5
I need help! I have an idea of which pick.
Answer: ok so I am bad at this but i would pick.....the top one
Step-by-step explanation:
at 6:00 a.m., the temperature is 58°. At 2:00 p.m., temperature is 76°. Find the rate of change in degrees per hour during this time.
Answer:
The rate of change is of 2.25 degrees per hour.
Step-by-step explanation:
The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).
In this question:
From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours
The change in temperature was of 76 - 58 = 18º
Rate of change:
18º/8 = 2.25º
The rate of change is of 2.25 degrees per hour.