Answer:
Step-by-step explanation:
a maximum or minimum occurs where the derivative equals zero
f(x) = -2x² + 14x - 10
f'(x) = -4x + 14
0 = -4x + 14
4x = 14
x = 3.5
f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5
Answers:
A.113 cm^3
B.141 cm^3
C.565 cm^3
D.126 cm^3
Answer:
D. 126 cm³
Step-by-step explanation:
The formula for the volume of a cylinder in terms of its diameter can be written as ...
V = (π/4)d²h
The difference between the volume of the overall cylinder and the volume of the hole is ...
V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h
V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³
The volume of the solid cylinder with a hole in it is about 126 cm³.
Find two numbers x and y with a sum of 2 and a difference of 12
Answer:
x = 7
y = -5
Step-by-step explanation:
x + y = 2
x - y = 12
( x + y ) + ( x - y ) = 2 + 12
2x = 14
x = 7
7 + y = 2
y = -5
Check:
7 + -5 = 2
7 - (-5) = 12
Correct
-Chetan K
Where does -3/7 belong on the Venn diagram
A) integers
B) natural numbers
C)rational numbers
D) irrational numbers
Answer:
rational
Step-by-step explanation:
6. Suppose that a password for a computer system must have at least 6, but no more than 9 characters, where each character in the password is a lowercase English letter, or an uppercase English letter, or a digit, or one of the five special characters *, <, >,!, and #.
(a) How many different passwords are available for this computer system?
(b) How many of these passwords contain at least one occurrence of at least one of the five special characters?
(c) Using your answer to part (b), determine how long it takes a hacker to try ev ery possible password, assuming that it takes one microsecond for a hacker to check each possible password.
a. There are 26 letters in the English alphabet, with two cases for each letter; 10 numerical characters in the range 0-9; and 5 special characters; thus a total of 26•2 + 10 + 5 = 67 characters.
Any character can be used more than once, so there are
67⁶ + 67⁷ + 67⁸ + 67⁹
or 27,618,753,243,839,080 total possible passwords.
b. If we require at least 1 special character, then there are 62 choices for each ordinary character we use and 5 for each special character.
Suppose we use a password of length 6. Then there are
62⁵•5¹ + 62⁴•5² + 62³•5³ + 62²•5⁴ + 62¹•5⁵ + 62⁰•5⁶
or
[tex]\displaystyle \sum_{k=1}^6 62^{6-k}\cdot5^k[/tex]
We count the longer passwords in a similar fashion:
[tex]\displaystyle \sum_{m=6}^9 \left(\sum_{k=1}^m 62^{m-k}\cdot5^k\right)[/tex]
or 1,206,930,268,794,100 total passwords
c. 1 second (s) is equal to 10⁶ microseconds (μs). If it takes 1 μs to try 1 password, then it would take
(1,206,930,268,794,100 passwords) • (1 μs / password) • (1 s / 10⁶ μs)
= 1,206,930,268.7941 s
= (1,206,930,268.7941 s) • (1 min / 60 s)
≈ 20,115,504.4799 min
≈ (20,115,504.4799 min) • (1 h / 60 min)
≈ 335,258.408 h
≈ (335,258.408 h) • (1 day / 24 h)
≈ 13,969.1003 days
≈ (13,969.1003 days) • (1 year / 365 days)
≈ 38.2715 years
A dog park is divided into sections for large and small dogs. The ratio of the perimeter of the small dog section to the perimeter of the entire dog park is 7 : 12. Find the area of each section.
Answer:
58
Step-by-step explanation:
Senna was having a party for 15 friends. She bought 3 jars of
pickles for $4.50. What is the cost per jar?
Answer:
it is 1.5
Step-by-step explanation:
if u do 4.50÷3 you will get 1.5 so the cost per jar is 1.5
What is the slope of the line that passes through the points (6, -10) and (3, -13)?
Write your answer in simplest form.
[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]
The table shows the number of admission tickets to an amusement park sold over the last 3 days.
Day Tickets Sold
Friday 2 to the power of 4 · 3 to the power of 2 · 5 to the power of 3
Saturday 2 to the power of 2 · 3 to the power of 4 · 7 · 13
Sunday 3 to the power of 6 · 5 · 7
How many more tickets were sold on Sunday than on Friday? Write your answer as a whole number.
HOW MANY tickets??!?
Answer:
There were 7515 more ticket sold on Sunday than on Friday.
Answer: There were 21915 sold on Sunday than on Friday.
Identify the figure and denote it by its appropriate symbol
ОА.
Half Line, AB
OB.
Ray
AB
O C. Line, AB
OD
Line Segment AB
Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14
Answer:
X-intercept: [tex](\frac{14}{3}, 0)[/tex].
Y-intercept: (0, 7) ⇒ Option B.
Step-by-step explanation:
I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.
X-intercept:The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0). The x-intercept is the value of x when y = 0.
Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:
3x + 2y = 14
3x + 2(0) = 14
3x + 0 = 14
3x = 14
Divide both sides by 3 to solve for x:
[tex]\frac{3x}{3} = \frac{14}{3}[/tex]
[tex]x = \frac{14}{3}[/tex]
Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex]. None of the given option matches the value of the x-intercept.
Y-intercept:The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.
Set x = 0, and substitute into the given equation.
3x + 2y = 14
3(0) + 2y = 14
0 + 2y = 14
2y = 14
Divide both sides by 2 to solve for y:
[tex]\frac{2y}{2} = \frac{14}{2}[/tex]
y = 7
Therefore, the y-intercept is (0, 7), which matches Option B.
Sequences
3, 7, 11, 15, ____, _____
4, 8, 16, 32, ____, _____
9, 16, 25, 36, ____, _____
256, 64, 16, 4, ____, _____
50, 45, 34, 26, ____, _____
[] 3, 7, 11, 15, 19, 23
4 is being added
[] 4, 8, 16, 32, 64, 128
They are being multipled by 2
[] 9, 16, 25, 36, 49, 64
It is increasing the addition by 2s, first one is adding 7, then 9, then 11, etc
[] 256, 64, 16, 4, 1, 1/4
It is being divided by 4
[] 50, 45, 34, 26, ____, _____
I am currently unsure on this one, if I figure it out I will edit my answer to reflect that!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
C – 4 = 10 I need help with this question
Answer:
The answer is 14
Step-by-step explanation:
c - 4 = 10
c = 10 + 4
c = 14
Answer: c = 14
Step-by-step explanation:
14 - 4 = 10
Find the 91st term of the arithmetic sequence 5, -14, -33, ...5,−14,−33,...
Answer:
1724
Step-by-step explanation:
first find the nth term = -19n+5
then do -19×91+5= 1724
11.2+X=-24.7. what is X
After doing some quick calculations, we can determine that X = −35.9
I hope this helps! :)
Answer:
x = -35.9
Step-by-step explanation:
Subtract both sides by 11.2 11.2 - 11.2 equals zero leaving x on one side.
x = - 24.7 - 11.2
A negative minus another negative number is a larger negative number.
x= -24.7 - 11.2 = -35.9
x = -35.9
Warm-Up
Abena invited 40 people to a party.
How many came if 25% of those invited didn't come?
Answer: 30
Step-by-step explanation:
25% of forty is 10 so we minus 40 by 10 to see the remaining 75% which is our answer.
40 - 10 = 30
30 people came
The number of people attend the party is 30.
Given that, Abena invited 40 people to a party.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 25% of 40
= 25/100 × 40
= 0.25 × 40
= 10
Number of people didn't come = 10
So, number of people came = 40-10=30
Therefore, the number of people attend the party is 30.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
The length of a rectangle is 6 in less than 3 times the width. If the perimeter is 36 in, what is the width of the rectangle?
Answer:
width = 6
Step-by-step explanation:
We can think of the width as x and the height as 3x-6. the perimeter formula is (width + height)*2, since we have x as width and 3x-6 as height, we can put it in the formula, which will get you (x + 3x-6)*2 = 36, if we devide both sides by 2, we'll get (x + 3x - 6) = 18, when we simplify it, we will get 4x-6 = 18, which can then be simplified into 4x = 24, which will get you that x = 6
Hope it helped :)
An Olympic-size swimming pool is 50 meters long. How many yards long is
the pool, to the nearest tenth of a yard?
Answer:
10.9
Step-by-step explanation:
Answer:
54.7 yards
Step-by-step explanation:
1 meter = 1.094 yards
50 meters = 54.7 yards
If u get this right u get branlnest
Answer:
Option 4
Step-by-step explanation:
[tex]2(a+6)[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2+6)=2(8)=16[/tex]
-------------------------------
Check first option:
[tex]4a+8[/tex]
Substitute [tex]a=2[/tex]:
[tex]4(2)+8=8+8=16[/tex]
Since 16 is not greater than 16, the first option is incorrect.
-------------------------------------------------------------------------------------
Check second option:
[tex]2a+a^2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+2^{2} =4+4=8[/tex]
Since 8 is not greater than 16, the second option is incorrect.
-------------------------------------------------------------------------------------
Check third option:
[tex]2a+12[/tex]
Substitute [tex]a=2[/tex]:
[tex]2(2)+12=4+12=16[/tex]
Since 16 is not greater than 16, the third option is incorrect.
-------------------------------------------------------------------------------------
Check fourth option:
[tex]a^4+2[/tex]
Substitute [tex]a=2[/tex]:
[tex]2^4+2=16+2=18[/tex]
Since 18 is greater than 16, the fourth option is correct.
Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°
Answer:
∠A = 98
Step-by-step explanation:
total sum of angles in a quadrilateral is 360
∠A + ∠B + ∠C +∠D = 360
∠A + 59 + 103 + 100 = 360
∠A + 262 = 360
∠A = 360- 262
∠A = 98
50 pencils cost £3. How much would 8 pencils
cost
What is the answer
Answer:
0.48£
Step-by-step explanation:
(3x8)/50=0.48£
Please help! I'm confused
The solution to the equation f(x) = g(x) is any x-value that makes the equation true. In terms of using graphs, the solutions are the x-coordinates of any point of intersection.
So if the graphs intersect at (1,5), then the solution is x=1.
This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).
Evaluate : X + 2 ( x -20) (4)
for x = 10
Answer:
x + 2 ( x - 20 )( 4 ) = -70
Step-by-step explanation:
hope this helps. . .<3
BRINLEST WIL BE GIVIN
Answer:
[tex]\huge\boxed{-0.001a^{n+1}}[/tex]
Step-by-step explanation:
[tex]-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}[/tex]
which equation is the inverse of y=7x^2-10
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
The two tables below show the amount of tip, y, included on a bill charging x dollars.
A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.
Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
9514 1404 393
Answer:
(b) The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
Step-by-step explanation:
The slope of the relation for Restaurant A is ...
y/x = 1/10
The slope of the relation for Restaurant B is ...
y/x = 5/25 = 1/5 = 2×1/10
The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.
y + y + y + y + ytytyty
Collect like terms
The function f(x) = -2x^5 + x^3 - 7x is an odd function. Which rule is satisfied by this function?
A. f(x) = f(-x)
B. f(x) = -f(x)
C. -f(x) = f(-x)
D. f(x) = f(x)^-1
[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]
How do you evaluate (-12)3
Step-by-step explanation:
-1728 y'all i do by using calculator and it is correct
Answer:
its -1728
Step-by-step explanation:
i worked it out right.
Select the interval where h(x)< 0.
Choose 1 answer:
(А) -3.5
(в) -2 < x < -1
(C) 2.5
Answer:
Step-by-step explanation:
C
Please help me I beg you I beg pms pls pls pls pls pls