Answer:
Take the root of both sides and solve.
[tex]x = \sqrt{6} , - \sqrt{6} [/tex]
Answer:
Take the root of both sides and solve:
[tex]x = \sqrt{6}, - \sqrt{6} [/tex]
d) A patient is given 11÷2ml of medicine three times a day. How long does a bottle of 132 ml of medicine last?
Answer: 8 days.
Explanation;
11/2 = 5.5
5.5 x 3 = 16.5
132/16.5 = 8
Answer:
8 days
Step-by-step explanation:
So, 11/2 * 3 = (33/2) = 16.5 ml
Let the number of days medicine last be 'x'.
⇒ 16.5 * x = 132
⇒ x = 132/16.5
⇒ x = 8.
Therefore, Medicines last for 8 days.
Hope it helps!
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
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
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.
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.
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.
An amount of $8,000 is invested at a simple interest rate
of 2%. What is the interest earned after 3 years?
Total amount after three years
= $8.360
Explanation:
Given -
Principal amount
p = $.8,000
Rate of interest
r = 1.5%
Duration
n = 3 years
Total amount after three years = Principal amount + Interest amount
Total amount after three years
= p + (pnr) = 8000 + (8000×1.5100×3) = 8000 + 360 = $8.360
Total amount after three years
= $8.360
Answer:
$8.360
Step-by-step explanation:
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.
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
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]
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
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.
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 question is in the image!
Answer:
g ≤ 6
Step-by-step explanation:
The number of goldfish that can live in the tank is less than or equal to 6.
The pair of polygons is similar. Find the value of x.
187. 5 in
12 in
30 in
37.5 in
There are 56 fourth graders going on a field trip. The teacher wants to divide them evenly into groups of 4 students and no more than 8 students. What are ways to divide the students evenly into groups
56 ÷14 =4
Step-by-step explanation:
dividing
56÷7=8
Please help me I beg you I beg pms pls pls pls pls pls
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
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
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
a boy rides the motorbike with velocity of 20 m/s. He accelerates his motorbike to a velocity of 30 m/s in 5 seconds. Calculate the acceleration produced in the motor bike
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Answer:
2m/s2
Step-by-step explanation:
acceleration = (final velocity - initial velocity) / time
a = (30-20) / 5
a = 10 / 5
a = 2m/s2
the bottom the range has the same numbers so I just need the domain and range help plz!!
How to identify domain and range from co-ordinate pairs?
If a pair be (x,y)Domain=x
Range=y
Hence.
In the graph here
[tex]\\ \sf\longmapsto D_f=0\leqslant x\leqslant y[/tex]
[tex]\\ \sf\longmapsto R_f=0\leqslant y\leqslant 14[/tex]
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
which equation is the inverse of y=7x^2-10
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
odd numbers between 20 and 46 that are mutiples of 3
Answer:
h
Step-by-step explanation:
h
Answer:
they should be 21 27 33 39 45
Step-by-step explanation:
:)
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]
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:
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
Evaluate : X + 2 ( x -20) (4)
for x = 10
Answer:
x + 2 ( x - 20 )( 4 ) = -70
Step-by-step explanation:
hope this helps. . .<3
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£