Step-by-step explanation:
Note that less means (-) and less than or equal means ≤
b - 8 ≤ 27
[tex]b - 8 \leqslant 27[/tex]
Hope it help youFind the missing integer that makes the statement true.
____+(-3) = 2
Explanation:
Think of the problem as x-3 = 2 where x is the blank that we need to fill in.
Adding on -3 is the same as subtracting 3, so that's why x+(-3) is the same as x-3.
To solve x-3 = 2, we add 3 to both sides and we'll get x = 5
Then note how 5-3 = 2 to help confirm the answer.
Answer:
5
Step-by-step explanation:
5 + (-3) = 5 - 3
Robert wants to buy a digital piano at a yard sale. He makes a scale drawing of his living room. He uses a scale of 1cm in the drawing to 6 inches in the actual room. The width of the digital piano is 54 inches will it fit along the wal. Next to the bookshelf ?
Answer:
It’s 48 just do 8*6=48 I don’t know how I got that answer but Ik it’s right lol
Amy regularly works 20 hours per week at Hook's Dry Cleaners from Monday through Friday. She earns $13.10 per hour and receives double time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional 8 hours on Sunday. What will her total gross pay be for the week?
please show work thanks!
Answer:
$471.60
Step-by-step explanation:
The double time rate is not specified in the question. But I will assume it's 2 times the normal rate. Therefore...
13.10 x 20 + 8 x (13.10 x 2)
Answer = $471.60
What is the absolute value of 48 2/3
Answer:
141
2Step-by-step explanation:
Answer:
48 2/3
Step-by-step explanation:
Remember,
Absolute value of a +ve number = +ve
Absolute value of a -ve number = +ve
Absolute value of 48 2/3 = 48 2/3
42 = -7 ( z-3)
whats z?
Answer:
z = -3
Step-by-step explanation:
42 = -7 ( z-3)
42 = -7z + 21
21 = -7z
z = -3
Answer and Step-by-step explanation:
We have to solve for z. That means everything that is next to z has to move to the other side of the equation.
First, divide -7 from both sides of the equation.
-6 = z - 3
Now add 3 to both sides of the equation.
-3 = z
z is equal to -3.
#teamtrees #PAW (Plant And Water)
I hope this helps!
What is the complete factorization of x2 + 2x + 1 - y2?
A)
(x + 1 + y)(x + 1 - y)
B)
(x + 1 + y)(x - 1 - y)
0
(x - 1 - y) (x - 1 + y)
D)
(x + 1 + y) (x + y + 1)
Answer: A
Step-by-step explanation:
[tex]x^2+2x+1-y^2\\\\=(x+1)^2-y^2\\\\=((x+1)-y)((x+1)+y)\\\\=(x+1-y)(x+1+y)\\\\Answer\ A\\[/tex]
(8p
2 − 5 p
4 − 2p
3) + (4p
3 + 2 p
2 − 2p
4)
Answer:
the answer is A)
Step-by-step explanation:
combine like terms
4p+14
a=
2x2p+2x7
hope this helps
Select the correct inequality sign to make the statements true.
/129
117
and
3
5
6
V10
Answer:
< then >
Step-by-step explanation:
11 7/8 can be written as (11 + 7/8). If we find (11+7/8)², we know that √(11+7/8)² = (11+7/8), so we can compare (11+7/8)² with 129 and see which is bigger.
(11+7/8)² = (11+7/8) * (11+7/8)
= 121 + 7/8 * 11 + 7/8 * 11 + (7/8)²
= 121 + 77/8 + 77/8 + (7/8)²
77/8 is greater than 9 (8*9 = 72) but less than 10 (8*10=80). Rounding down to 7, we have
121 + 7 + 7 + (7/8)²
= 135 + (7/8)²
Even when rounding down, (11+7/8)² is greater than 129. Therefore,
129 < (11+7/8)²
square root both sides
√129 < (11+7/8)
We can apply a similar process for the next one.
(3+5/6)² = (3+5/6) * (3+5/6)
= 9 + 5/6 * 3 + 5/6 * 3 + (5/6)²
= 9 + 15/6 + 15/6 + (5/6)²
15/6 is less than 3 (6*3 = 18) but greater than 2 (6*2 = 12). Rounding down to 2, we have
9 + 2 + 2 + (5/6)²
= 13 + (5/6)² > 10
Even when rounding down, (3+5/6)² is greater than 10
(3+5/6)² > 10
square root both sides
(3+5/6) > √10
A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 7 x − 40. f(x)=7x−40. Find and interpret the given function values and determine an appropriate domain for the function. f ( − 10 ) = f(−10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 10 ) = f(10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 9.5 ) = f(9.5)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is .
plzz help............
[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
====================================================
Proof:
Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.
[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]
It's far from obvious, but we can apply a bit of algebra like so
[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]
Next, we divide every term by 2. This is so we can replace the pi terms with pi/2
[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]
We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]
So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.
Therefore,
[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]
This shows that differentiating the expression in choice A leads to the given integrand.
If we reverse all of the steps mentioned, then we can show that:
[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).
What is the value of 2-3. 22,
Pls help quick
Answer:
-1.22
Step-by-step explanation:
A marathon runner runs at 7.6 mph for three and a half hours.
How many miles has he run?
Answer:
26.6 miles
Step-by-step explanation:
distance = speed × time ( time is in hours )
= 7.6 × 3.5
= 26.6 miles
Is 2x-4=2x-7 one solution, no solution, or infinitely many solution?
Answer:
no solutions
Step-by-step explanation:
2x-4=2x-7 (subtract 2x by the 2x on the other side)
-4 = -7 ( add 4 to negative 4 and add 4 to negative 7)
0 ≠ -3 (0 zero does not equal -3, if the solution had one solution then you would find x. if the solution had infinitely solutions then the numbers would be equal [like -3 = -3])
Since the equation ended with an invalid answer ( 0 ≠ -3) it has no solutions. hope this helps!
solve for v
167 = 12 - v
PLEASEEEE IM BEGGING U
Answer:
v=-155
Step-by-step explanation:
167 = 12 - v
subtract both sides by 12
155= -v
multiply both sides by -1
-155= v
JEROME
(2/3)^2 = 2/9
can someone tell me what is Jerome mistake.
Law of Exponent
[tex] \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }[/tex]
From the expression.
[tex] \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }[/tex]
Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.
Ruth's heart beats 80 times a minute. At this rate٫ how many times does her heart beat an hour?
Answer:
4800
Step-by-step explanation:
80 × 60 = 4800
-4 and 7 midpoint simplify
Answer:
=(-4+7)/2
=3/2
=1.5 answer
if q is inversely propotional to p, and q= 120 when p=2, form an equation connecting p and q and calculate q when p=5
Answer:
q = 108/p
Explanation:
the initial statement is q ∝ 1 /p
to convert to an equation multiply by k the constant of variation
⇒ q = k × 1 /p = k /p
to find k use the given condition
q = k/ p
⇒ k = q/ p = 3 /2 × 72 = 108
equation is q = 108/ p
Answer:
q = 48
Step-by-step explanation:
Given q is inversely proportional to p then the equation relating them is
q = [tex]\frac{k}{p}[/tex] ← k is the constant of proportion
To find k use the condition q = 120 when p = 2 , then
120 = [tex]\frac{k}{2}[/tex] ( multiply both sides by 2 )
240 = k
q = [tex]\frac{240}{p}[/tex] ← equation of proportion
When p = 5 , then
q = [tex]\frac{240}{5}[/tex] = 48
I need a table chart for 4n - 3
Hope this help! Everything is in the picture!
How did Srinivasa ramanujan religion create a clash when he worked with G.H hardy
hellllpppppppp for the 10th time lol
Hey there! I'm happy to help!
We see that this is an isosceles triangle. This means that two sides are the same length. . We can see that the sides DE and EF are marked with two orange lines, which shows that they are congruent.
We want to find the measure of angle D. We see that our two lines of equal length both create an angle with the hypotenuse DF. Since these lines are the exact same length, they are going to have to create the same angle. Even if you just eyeball it, the angles look to be the same.
So, our measure of angle D is going to be the same as angle F. Let's call this measure m and put it into an equation.
2m+92=180 (sum of all angle measures in a triangle is 180)
Subtract 92 from both sides.
2m=88
Divide both sides by 2
m=44
So, the measure of angle D is B. 44°.
Have a wonderful day and keep on learning! :D
3 1/4 x 1 1/3 . work it out
Answer:
13/3
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?
Answer:
y = -6/xStep-by-step explanation:
Inverse variation equation:
y = k/x, where k - coefficientWe have:
x = 6, y = -1Work out the value of k by substituting the values of x and y:
-1 = k / 6k = -1*6k = -6The equation is:
y = -6/xAnswer:
y = -6/x
Step-by-step explanation:
y varies inversely as x
So, y = k/x, where k is the constant of proportionality.
If y = -1 when x = 6,
Then, -1 = k/6 ===> k = -6
Therefore, y = -6/x
What is the following quotient?
The price of an item yesterday was $120. Today, the price rose to $156. Find the percentage increase.
Answer:30%
Step-by-step explanation:
GAIN = 156- 120=$ 36
% GAIN = [tex]\frac{gain}{old cost price } X 100%\\[/tex]
= [tex]\frac{36}{120} X 100%[/tex]
=30%
WILL GIVE BRAINLIEST TO WHOEVER CAN SHOW THEIR WORK:
.8900mm to km
Answer:
0.0089
Step-by-step explanation:
i dont know how to show my work i did it online, pls give me brainliest :(
Fun Fact: Octopuses lay 56,000 eggs at a time
giải phương trình
tan6x nhân tan7x= -1
Recall that
• tan(x) = sin(x) / cos(x)
• sin(x) sin(y) = - 1/2 (cos(x + y) - cos(x - y))
• cos(x) cos(y) = 1/2 (cos(x + y) + cos(x - y))
Then we can write
tan(6x) tan(7x) = (sin(6x) sin(7x)) / (cos(6x) cos(7x))
tan(6x) tan(7x) = - (cos(13x) - cos(x)) / (cos(13x) + cos(x))
Make this replacement in the original equation and simplify:
tan(6x) tan(7x) = -1
- (cos(13x) - cos(x)) / (cos(13x) + cos(x)) = -1
(cos(13x) - cos(x)) / (cos(13x) + cos(x)) = 1
cos(13x) - cos(x) = cos(13x) + cos(x)
2 cos(x) = 0
cos(x) = 0
Solving for x gives
x = π/2 + nπ = (2n + 1)π/2
where n is any integer. However, since 2n + 1 is odd, for any odd multiple of π/2, we would end up with
tan(6 (2n + 1)π/2) = tan((2n + 1)×3π) = tan(odd multple of π/2)
since odd×odd = odd, and cos(odd multiplie of π/2) = 0, which would make tan(6x) undefined.
Therefore there are no solutions to this equation.
Help me find the value
Answer:
soln
Step-by-step explanation:
a=7
b=-2
5a-3b
5×7-3×-2
35+6(because - and - becomes+
41ans
Answer:
5a-3b
5×7-3×-2
35-6
29
I think soo
What is the value of (-6 + 2i) - (7 - 8i)?
0 -1 + 61
O 1 - 6i
0-13 + 10i
13 + 10i
Answer: -13 + 10i
Step-by-step explanation: ((-6) + (2 * i)) - (7 - (8 * i)) = -13+10i
What is the y-intercept, given the equation: y=x^2+2x−8?
Write your response as an ordered pair.
Answer:
y-intercept is (0, -8)
Step-by-step explanation:
[tex]y = {x}^{2} + 2x - 8[/tex]
At y-intercept, x is zero
substitute x as zero:
[tex]y = {(0)}^{2} + 2(0) - 8 \\ y = 0 + 0 - 8 \\ y = - 8[/tex]