Answer:
14x-85
Step-by-step explanation:
The area of the shaded region is
[tex](x + 6)(x - 6) - {(x - 7)}^{2} [/tex]
which if you use the identities to expand it gives you
[tex] {x}^{2} - 36 - {x}^{2} + 14x - 49[/tex]
This then reduces to be
[tex]14x - 85[/tex]
What are the next two numbers in this pattern?
2, –8, 32, –128, . . .
A 512, –2,048
B –224, 3,120
C –512, 2,048
D 224, –3,120
a spherical balloon is being inflated so that the radius is increasing at a rate of 3 cm/sec. find the rate at which the volume is increasing when r=10cm.
Answer: 1200pi cubic cm per sec
========================================
Work Shown:
dr/dt = 3 is the rate of change of the radius
V = (4/3)pi*r^3 ..... volume of a sphere
dV/dt = (4/3)*3*pi*r^2*dr/dt ... chain rule
dV/dt = 4*pi*r^2*dr/dt
dV/dt = 4*pi*r^2*3
dV/dt = 12*pi*r^2
dV/dt = 12*pi*10^2 ... plug in r = 10
dV/dt = 1200pi
The formula K= 5/9 (F - 32) + 273.15 converts temperatures from degrees Fahrenheit F to Kelvin K.
Solve the formula for F
Answer:
[tex]F=\dfrac{9}{5}(K-273.15)+32[/tex]
Step-by-step explanation:
Undo the various operations done to F.
[tex]K=\dfrac{5}{9}(F-32)+273.15\quad\text{given}\\\\K-273.15=\dfrac{5}{9}(F-32)\quad\text{subtract 273.15}\\\\\dfrac{9}{5}(K-273.15)=F-32\quad\text{multiply by 9/5}\\\\\boxed{F=\dfrac{9}{5}(K-273.15)+32}\quad\text{add 32}[/tex]
Problem How many unique ways are there to arrange the letters in the
word CHRISTMAS?*
362,880
45,255
1
55,698
Answer:
There are 181,440 ways.
Step-by-step explanation:
Given the word CHRISTMAS
In the word "Christmas" there are 9 letters.
Also take note, the letter "s" is repeated twice.
Hence, the number of ways is given by; no of ways = n!/m!
Where, n = 9, m = 2
no of ways = 9 *8*7*6*5*4*2*1/2*1
no of ways = 9*8*7*6*5*4*3
no of ways = 181,440.
Therefore, the number of unique ways that the letters in the word can be arranged is 181,440.
What is the coefficient in this equation 3x +9= -15
Answer:
3
Step-by-step explanation:
The coefficient is the number before the variable so 3 would be the coefficient in this equation.
Hope this helps!!!
Simplify i^41 (please help me)
Answer:
i
Step-by-step explanation:
Answer: Choice A) i
====================================================
Explanation:
Let's look at the pattern of powers of i
i^0 = 1i^1 = ii^2 = (sqrt(-1))^2 -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1We loop back to 1, and the process starts all over again. The cycle is 4 units long. Ie, the pattern repeats every 4 terms.
What this means is that we can use remainders to quickly figure out something like i^41 without having to use a calculator or tons of paper.
Dividing 41/4 leads to a quotient of 10 and a remainder of 1. We only care about the remainder. The remainder 1 means i^41 = i^1 = i
Note how 41 and 1 lead to the same remainder when we divide by 4.
10 points
3. Which equation below would help you to solve this problem: A new 12
month membership at Workout Nation costs $630. A registration fee of
$150 is paid up front, and the rest is paid monthly. How much do new
members pay each month?
150x + 12 = 630
150x + 12x = 630
150 + 12x = 630
630x + 12 = 150
Answer:
150+12x=630
Step-by-step explanation:
The x represents the amount of months and it is multiplied by 12 because each month costs 12$. 150 have to be paid up front and this added to the monthly fee is equal to 630$
Can someone help me with this??? Plzzzz
Answer:
Im lazy to figure it out lol
Step-by-step explanation:
basically use order of operations. PEMDAS. start with ur parentheses and go on from there
Answer:
a
Step-by-step explanation:
=729
2. Be Precise Suri solved the equation x2 = 49
and found that x=7. What error did Suri
make? © MP.6
What is the answer
Answer:
see below
Step-by-step explanation:
x^2 = 49
Take the square root of each side
sqrt(x^2) =± sqrt(49)
x = ±7
Suri failed to take into account the negative value of the square root
Need help! Due at 12:00 pm
Answer:
The answer to the graph that fits the most with the functions would most likely be A.
What is the slope formula between (-5,2) and (1,-5)
Answer:
-1.16667
Step-by-step explanation:
The entered points belong to a decreasing, linear function.
Equation: y = -1.16667x - 3.83333.
find all missing variables and measures of each angle
Answer:
x= 18
10x=180
x=180/10
x=18
When adding numbers which way do you usually work
Step-by-step explanation:
start by adding together the numbers in the right hand column
n^2- 5n +4=0 quadratic equation
Answer:
n = 1, 4
Step-by-step explanation:
Step 1: Write equation
n² - 5n + 4 = 0
Step 2: Solve for n
Factor: (n - 4)(n - 1) = 0
Find roots: n = 1, 4
Step 3: Check
Plug in n to verify if it's a solution.
1² - 5(1) + 4 = 0
1 - 5 + 4 = 0
-4 + 4 = 0
0 = 0
4² - 5(4) + 4 = 0
16 - 20 + 4 = 0
-4 + 4 = 0
0 = 0
Jenny walks 3/4 mile in 1/4 hour. At what rate is jenny traveling
Answer:
3 miles per hour
Step-by-step explanation:
3/4 mile = 0.75 mile
1/4 hr = 0.25 hr
0.75mile/0.25hr = 3 miles per hour
Find the probability that when a couple has six children, at least one of them is a girl.
Answer:5/6
Step-by-step explanation:
find the 12th term of the arithmetic sequence 2a - b, 3a - 2b, 4a - 3b
Answer:
the 12th term of the arithmetic sequence would be 13a - 12b
Step-by-step explanation:
as you can see from the sequence, it goes up by 1. 2a - b became 3a -2b as an example.
Answer:
13a - 12b
Step-by-step explanation:
That is what the 12th ter m of the arithmetic sequence is
first to get right gets brainliest
9+10=?
Answer:
=19!
Step-by-step explanation:
The value of the guitar has been found to be -80y + 800, where y is the number of years since it was released. a. By how much is the value of the guitar decreasing per year? b. How much was the initial value of the comic?
Answer:
B
Step-by-step explanation:
HELP PLEASE! 50 POINTS, BRAINLIEST FOR WHOEVER ANSWERS FIRST!
In the 2006 Winter Olympics in Torino, Italy, Russia won 7
fewer medals than Germany. The two countries won a total of
51 medals. How many medals did each country win?
Answer:
Russia won 22
Germany won 29
Step-by-step explanation:
We know Russia won 7 fewer than Germany.
We have to find the maximum number Germany can get, but Russia must have 7 less.
Germany can get 29 medals, with Russia getting 22.
Let's check:
22 + 29 = 51
Hope this helps!
64 is 6623% of what number?
Answer:
6623% = 66.23
Now, we just multiply that decimal by 39 to get the final answer.
66.23 * 39 = 2582.97
6623% of 39 is 2582.97.
Hope that helped =)
Step-by-step explanation:
answer the following
21 - 4x = 4x + 21
Answer:
0
Step-by-step explanation:
21 - 4x = 4x + 21
~Subtract 21 to both sides
-4x = 4x
~Divide -4 to both sides
x = -x
~Add 8 to both sides
2x = 0
~Divide 2 to both sides
x = 0
Best of Luck!
How many terms of the arithmetic sequey(1,3,5,7,...)will give sum of 961
When we add odd numbers:
1 = 1
1 + 3 = 4
1 + 3 + 5 = 9
...
Notice that the sum of n terms is n²
* This is because an odd number is expressed as 2n-1, we would need to get the sum of all 2n-1 substituting the value from 1 to n. (This is summation)
So we would have 2(1+2+3+...+n) - n = 2[n(n+1)/2] - n = n(n+1) - n = n(n+1-1) = n²
So:
Sum of n terms = 961
Sum of n terms = 31² = n²
n = 31
There are 31 terms in the arithmetic sequence
ALL CREDIT GOES TO mlcparra16
***NOT MY WORK
https://brainly.ph/question/182412
True or False: (-8) + 9 = 9+ (-8)
Show your work to prove your answer.
Answer:
1
Step-by-step explanation:
-8 +9 = 1
9 + -8 = 1
answer = 1
Answer:
true
Step-by-step explanation:
(-8) + 9 = 9 + (-8)
solve both sides of the equation
-8 + 9 = 1
9 + (-8) is equivalent to 9-8 = 1
so,
1 = 1
this equation is true
hope this helps!! :)
5 less than a number is equivalent to 1 more than three times the number
Answer:
x-5=3x+1 (x=-3)
Step-by-step explanation:
5 less (_-5)
than a number (x)
is equivalent to (=)
1 more than (+1)
than three times the number (3x)
combine them all to get x-5=3x+1
extra:
add 5 to each side x=3x+6
subtract x from each side 0=2x+6
subtract 6 from each side -6=2x
divide each side by 2 -3=x
heeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllpppppppppppppppppp
Answer:
x = 5Step-by-step explanation:
[tex]6 - 2x = 5x - 9x + 16[/tex]
Simplify
That's
[tex]6 - 2x = - 4x + 16[/tex]
Add 4x to both sides of the equation
[tex]6 - 2x + 4x = 4x - 4x + 16 \\ 6 + 2x = 16[/tex]
Subtract 6 from both sides of the equation
[tex]6 - 6 + 2x = 16 - 6 \\ 2x = 10[/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{10}{2} \\ [/tex]
We have the final answer as
x = 5Hope this helps you
A bird is attempting to fly northeast at a constant speed, but a wind blowing southward at 5 miles per
hour blows the bird off course. If the bird’s overall movement (incorporating its intended movement
and the movement due to wind) is at a speed of √53 miles per hour, how fast would it have been traveling if there was no wind?
Answer:
The value is [tex]v_b = 9.89 \ miles /hour[/tex]
Step-by-step explanation:
From the question we are told that
The velocity of the wind southward is [tex]v = 5 j \ miles / hour[/tex]
The resultant velocity of the bird with the with wind is [tex]V= \sqrt{53}[/tex]
Generally for an object moving in the northwest direction the angle with the horizontal is 45°
Generally the velocity of the bird in the along the x -axis is
[tex]V_x= v_b cos 45^o i[/tex]
Generally the velocity of the bird in the along the y -axis is
[tex] V_y=(v_b sin 45^o - 5)j[/tex]
Here [tex]v_b[/tex] is the velocity of the bird without the wind
Generally the resultant velocity of the bird with the with wind is mathematically represented as
[tex]V = \sqrt{V_x^2 + V_y^2 }[/tex]
=> [tex] \sqrt{53} = \sqrt{(v_b cos 45^o)^2 + (v_b sin 45^o - 5)^2 }[/tex]
Generally
[tex]sin 45^o = \frac{1}{\sqrt{2} }[/tex]
and
[tex]cos 45^o = \frac{1}{\sqrt{2} }[/tex]
So
[tex] \sqrt{53} = \sqrt{(v_b* (\frac{1}{\sqrt{2} ))^2 + ([v_b * (\frac{1}{\sqrt{2} ) ]- 5)^2 }[/tex]
=> [tex]53 = \frac{1}{2} v_b^2 + \frac{1}{2} v_b^2 + 5^2 -2*5 * \frac{1}{\sqrt{2} } v_b[/tex]
=> [tex] 53 = v_b^2 + 25 - 5 \sqrt{2} v_b[/tex]
=> [tex] v_b^2 - 5 \sqrt{2} v_b -28 = 0[/tex]
Solving the above quadratic equation using quadratic formula we obtain that
[tex]v_b = 9.89 \ miles /hour[/tex]
The other value is negative so we do not make use of it because we know that the bird is moving in the positive x and y axis
which statement best describes (3x4)x6=3x(4x6)
Answer: the grouping of the factors is changed, but the product is the same
someone help me with this equation ASAP its hard
Answer:
i think its A....................
Answer:
D
Step-by-step explanation:
Since its half a number then it would mean that it would be 1/2x. Not 5x bc you are just adding it to 1/2x
(Please Help ASAP)
Select all that apply.
A graph shows _____ in picture form.
[] variables
[] facts
[] color
[] statistics
[] sums
[] data
Answer: data, variables, and statistics
Step-by-step explanation: :)
lmk if this wrong, if it is, i'm so sorry