Determine the missing side length
Hope this helps the answer is 97!
What is the missing length?
The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓
(A) -14
(B) 14
(C) -60
(D) 42/5
9514 1404 393
Answer:
(B) 14
Step-by-step explanation:
"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.
A vacuum flask (for keeping drinks hot) is modelled as a closed cylinder in which the internal radius is r cm and the internal height is h cm.
The volume of the flask is 1000 cm³. A flask is most efficient when the total internal surface area, A cm², is a minimum.
(i) Show that A = 2π2²+ 2000/2
(ii) Given that r can vary, find the value of r, correct to 1 decimal place, for which A has a stationary value and verify that the flask is most efficient when r takes this value.
(i) To find the total internal surface area, we need to calculate the area of the curved surface and the areas of the top and bottom circles.
The curved surface area of the cylinder is given by the formula:
A_curved = 2πrh
The area of the top and bottom circles is given by the formula:
A_circles = 2πr²
The total internal surface area is the sum of the curved surface area and the areas of the top and bottom circles:
A = A_curved + A_circles
= 2πrh + 2πr²
Given that the volume of the flask is 1000 cm³, we have the equation:
πr²h = 1000
Solving for h, we get:
h = 1000 / (πr²)
Substituting this value of h into the equation for A, we have:
A = 2πrh + 2πr²
= 2πr(1000 / (πr²)) + 2πr²
= 2000/r + 2πr²
Simplifying further, we get:
A = 2000/r + 2πr²
= 2πr² + 2000/r
(ii) To find the value of r for which A has a stationary value, we differentiate A with respect to r and set the derivative equal to zero.
dA/dr = 4πr - 2000/r² = 0
Multiplying through by r², we get:
4πr³ - 2000 = 0
Solving for r, we have:
4πr³ = 2000
r³ = 2000 / (4π)
r = (2000 / (4π))^(1/3)
Calculating this value to one decimal place, we get:
r ≈ 3.4 cm
To verify that the flask is most efficient when r takes this value, we need to check the second derivative of A with respect to r.
d²A/dr² = 12πr² + 4000/r³
Substituting the value of r, we have:
d²A/dr² = 12π(3.4)² + 4000/(3.4)³
Calculating this value, we find that it is positive, indicating a minimum. Therefore, the flask is most efficient when r ≈ 3.4 cm.
If ∆SDE ~ ∆SWT, find WT.
choose the equation that best describes the following graph.
please answer ASAP.
a) y=-3/2x+5
b) y=-2/3x+5
c) y=-3/2x+3 1/2
d) y=-2/3x+3 1/2
Answer:
d) y= -2/3x+3 1/2
Step-by-step explanation:
Points on the graph: ( -4, 6) and ( -7, 8)
Slope:
m=(y2-y1)/(x2-x1)
m=(8-6)/(-7+4)
m= 2/(-3)
m= -2/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = -2/3(x + 4)
y - 6 = -2/3x - 8/3
y = -2/3x + 3 1/2
how a single number could be a ratio?
Step-by-step explanation:
For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.
Hope this helps.
find the Range 11,10,15,17,14
(highest) -(lowest)
17-10
=7
Please help! *no links* GIVING BRAINIEST
Answer:
6) D
7) B
8) J
9) A
10) A
11) L
12) I
Step-by-step explanation:
Hope this helped :)
HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12
Answer:
The answer is 9.
Answer:
The answer is 9
Step-by-step explanation:
I got it right on the quiz
PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS
Answer:
1/30 of an hour
Step-by-step explanation:
This is the graph of f(x). What is the value of f(2)?
10-+
Ο Α. 16
Β. 2
C. 4
D. 8
Answer:
b
Step-by-step explanation:
PLZ ANSWER NO FAKE LINKS
Answer:
equation is 4*3 =12
Step-by-step explanation:
She had 12 guests because there was 4 parts each.
6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.
Answer:
$434
Step-by-step explanation:
Gross Pay
$7.75 per hour40 hours per weekPay received every 2 weeks⇒ Total gross pay = 7.75 × 40 × 2 = $620
Deductions
Medical insurance = 8%Taxes = 12%Retirement = 10%⇒ Total deductions = 8% + 12% + 10% = 30%
Net Pay
Net Pay = Total Gross Pay - Total deductions
= $620 - (30% of $620)
= $620 - (0.3 × $620)
= $620 - $186
= $434
Therefore, Cory's net pay will be $434.
find the square of 2a plus 3b
Here is your answer!!
Answer:
[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]
Step-by-step explanation:
[tex](2a+3b)^{2}[/tex]
[tex]= (2a + 3b) (2a + 3b)[/tex]
[tex]= 4a^{2} + 6ab + 6ab + 9b^{2}[/tex]
[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]
Can someone help me with this pls [cry]
Answer: B
Step-by-step explanation:
JUST DID A QUIZ WITH IT
The area of a triangle is 174 square inches. The base is 29 inches. What is the height in inches? Do not include units in your answer.
Answer:
Your answer would be 6
Step-by-step explanation:
Area=174
Base=29
174 divided by 29
Equals 6
6 times 29
Equals 174
So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.
:)
Answer: 12
Step-by-step explanation:
We can use the formula for the area of a triangle, to help us find the height:
Area=12⋅b⋅h
Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:
174=12⋅29⋅h
Isolate h by multiplying both sides by 2 and dividing both sides by 29.
hh=2⋅17429=12
The height is 12 inches.
tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.
Answer:
5 hours must pass
Step-by-step explanation:
Graph the equations y = 2x + 100 and y = -6x + 140
Then find the x intercept of their intersection, in this case, that is 5
You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?
Answer:
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42
The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?
For a 90% confidence interval, we would have z = 1.645.
Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
Answer:
You would need $31 so W=4 and you would have $5 left
Step-by-step explanation:
i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72
sorry if im wrong or late
808 - 589 what is the answer I need help
(I'm just trying to see if anybody here smart)
☁️ Answer ☁️
Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)
The answer is:
219
Explanation: I used my eyes, fingers, and a calculator.
Hope it helps.
Have a nice day noona/hyung
8 men can complete the project in 24 days in how many days 12 men can complete the same project
Answer:
16days
Step-by-step explanation:
This is an inverse proportionality
Let the number of men be m
Let the time taken in days be d
Hence m ∝ 1/d
m = k/d
If 8 men can complete the project in 24 days, then;
8 = k/24
k = 8*24
k = 192
To determine the time it will take 12 men to complete the same job, we will say;
m = k/d
12 = 192/d
d = 192/12
d = 16
Hence it will take 12men 16days to finish the same job
Which is more 4 inches or 1 foot
Answer: 1 foot
Step-by-step explanation:
because 1 foot is equivalent to 12 inches
Clumsy Carl is running a marathon. There are 3 dangerous areas on the course, and Clumsy Carl approximates
that he has a 50% chance of falling at each spot, independent of if he falls at the other spots.
The table below shows the total number of people that will see Carl fall based on how many times he falls.
What is the expected total number of people that will see Carl fall?
Round your answer to the nearest hundred.
Answer:600
Step-by-step explanation: Khan Academy
You deposit $500 at 6% interest annually. After 6 months, how much money will you earn?
I need help and it’s due soon
Answer:
Point A
Step-by-step explanation:
Answer:
point A
Step-by-step explanation:
The point A is opposite with the point R and the x-axis is between them.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
Coordinates switch, and the new y-coordinate changes sign
Explanation:
We have point A with the coordinates (-1,2), when we rotate it c90º it becomes (2,1).
What happened? The coordinates switched and the x-coordinate of A (-1) became the y-coordinate of A' (1) and it changed its sign.
Answer:
A. The coordinates switch and the new x-coordinate changes sign
Step-by-step explanation:
Hope this helps! ✌️
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No
The radius of a cone is 4.9 cm and its height is 10 cm. Find the volume of the cone to the
nearest tenth. Use 3.14 for pie
Answer:
V = 251.3
Step-by-step explanation:
Volume of a Cone formula:
V = πr²(h/3)
Given:
r = 4.9
h = 10
Work:
V = πr²(h/3)
V = 3.14(4.9²)(10/3)
V = 3.14(24.01)(10/3)
V = 251.3
Given the data set, calculate the range and the mode:
{9, 3, 1, 8, 3, 6}