Answer:
titutex=cos\alp,\alp∈[0:;π]
\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+
1−x
2
∣=
2
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
(2cos
2
\alp−1)
\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N
2
cos(\alp−
4
π
)∣=N
2
cos(2\alp)\Right\alp∈[0;
4
π
]∪[
4
3π
;π]
1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;
4
π
]
\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−
4
π
)=cos(2\alp)…
2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[
4
3π
;π]
\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−
4
π
)=cos(2\alp)…
1
Top
Display
4n - 3n3 - 3n3 + 4n
please help quick
Answer:
8n-6n6
Step-by-step explanation:
collection of like terms
4n+4n-3n3-3n3
8n-6n6
solve 15-2x=3x
the solution is x=
Answer:
x=3
Step-by-step explanation:
15-2x=3x
solve for x:
15=5x
divided by 5:
3=x
Answer:
x = 3
Step-by-step explanation:
15 -2x = 3x {Add 2x to both sides}
15 = 3x + 2x
15 = 5x
15/5 = x {divide both sides by 5}
x = 3
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
wat is the answer
Answer:
There was a 25% increase.
Step-by-step explanation:
If f(x) = -x +6 and the domain of f is { 3, 7 , 11}, what is the range of f(x)?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
hope it helps
Answer:
B
Step-by-step explanation:
Which of the following equations correctly represents the set-up to solve for x?
A: x-6+2x=10
B: x-6+2x=90
C: x-6=2x-8
D: x-6+2x-8=180
Answer:
x-6 + 2x-8 = 10
Step-by-step explanation:
ST + TU = SU
x-6 + 2x-8 = 10
Combine like terms
3x - 14 = 10
Add 14 to each side
3x-14+14 = 10+14
3x = 24
Solve the equation for m
Q=mL
Answer:
m = Q/L
Step-by-step explanation:
Step 1: Write equation
Q = mL
Step 2: Solve for m
Divide both sides by L: Q/L = mRewrite: m = Q/L0.00125mi squared=?ft squared
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280
Work out the answers to:
a) 13+ (-20)
b) (-14) + (-11)
c) 18 -(-9)
d) (-21)-(-36)
Answer:
a. -7
b. -25
c. 27
d. 15
Step-by-step explanation:
The solution of expression is a) 13 + (-20) = -7
b) (-14) + (-11) = -25
c) 18 - (-9) = 27
d) (-21) - (-36) = 15
a) 13 + (-20) = -7
To add a positive number and a negative number, we subtract the absolute values and use the sign of the number with the greater absolute value.
b) (-14) + (-11) = -25
When adding two negative numbers, we simply add their absolute values and retain the negative sign.
c) 18 - (-9) = 27
Subtracting a negative number is equivalent to adding its positive value. Therefore, 18 - (-9) becomes 18 + 9, which equals 27.
d) (-21) - (-36) = 15
Similar to the previous example, subtracting a negative number is equivalent to adding its positive value. (-21) - (-36) becomes (-21) + 36, which equals 15.
Learn more about expression here
https://brainly.com/question/17508055
#SPJ2
What is the area of a triangle with vertices at (-2, -1), (4, -1), (6,5)?
6 square units
9 square units
18 square units
36 square units
Answer: C
Step-by-step explanation:
53.28 is what percent of 71.04?
Answer:
15.43
Step-by-step explanation:
71.04% off 53.28 is 15.43
The difference is 37.85 ,hope i helped
When Joe started his job at the laundromat five years ago, his wage was $6.00 an hour. Today, his wage is $8.50 an hour. If Joe started his job in the base year, and his real wage is the same as when he started, what is the Consumer Price Index (CPI) today
Answer:
142
Step-by-step explanation:
The computation of the Consumer Price Index (CPI) today is shown below:-
Real Salary today / Real Salary 5 years ago = CPI today ÷ CPI 5 years ago
CPI today ÷ 100 = 8.50 ÷ 6
= 142
Therefore for computing the Consumer Price Index (CPI) today we simply applied the above formula and the same is to be considered
if the volume of a cube is 1,729 cubic inches, what is the length of each of its sides
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I think It must be 1,728.
So :
[tex] \sqrt[3]{1728} = 12[/tex]
Thus each of its sides has a length of 12 inch.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
i'm back at it again. anyone helppp I'm so confused rnn
Explanation:
For every problem, plug in the number where the variable is.
For example:
Evaluate the following expression by substituting 8 for x.
x + 9
You would take the x and turn it into 8, then you would do 8 + 9.
Answer:
1)
a= 17
b= 7
c= 56
d= 4
e= 29
f= 10
g= 18
h= 4
2)
a= -1
b= 2/3
c= -4/3
d= -5/3
e= -2
f= -8/3
g= -14/9
h= -17/9
3)
a= 1/2
b= 5/6
c= 1/6
d= -1/3
e= 1/3
f= 5/12
g= 7/18
h= 0.75
Step-by-step explanation:
Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest rate of change?
A. y = 7/6x + 2/3
B. y = 7/5x + 7/5
C. y = 6/5x + 11/5
D. y = 5/4x + 15/4
=======================================================
Explanation:
Slope is the same as the rate of change for any linear function. We ignore the y intercepts.
The slopes of the four equations, A through D, are: 7/6, 7/5, 6/5, and 5/4
This is because each equation is in y = mx+b form with m as the slope.
Convert each fractional slope into decimal form
7/6 = 1.167 approximately7/5 = 1.4006/5 = 1.2005/4 = 1.250We see that 7/5 produces the largest decimal, so 7/5 is the largest fraction of the four slopes.
Therefore equation y = (7/5)x+7/5 has the greatest rate of change.
The _______ name of a number is how it sounds when we say its name the long way.
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
If you add a negative
Answer:
Then you don't change the sign.
Two like signs become a positive sign.
Two unlike signs become a negative sign.
The sum of a number and 32 is two-thirds the number and 45. (Algebra)
Answer:
he sum of a number and 16 is equal to 45. 2. The product of 6 and m is 216. 3. The difference of 100 and x is 57. 4. The quotient of z and 10 is 32. X+16= 45.
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
45 divided by 3 is 15 and if you multiply that by 2 you get 30. 32 - 2 is 30
solve for r step by step v =1/3 IIR^3 h
Answer:
[tex]r=\sqrt[3]{\frac{3v}{\pi h} }[/tex]
Step-by-step explanation:
The equation is v=1/3πr³h
Multiply both sides of equation by 3 to get
3v=πr³h
Divide both sides of the equation by πh to get
3v/πh = r³
Apply cube root on both sides of the equation as;
[tex]\sqrt[3]{\frac{3v}{pih} } =r[/tex]
a, b, c, or d? i need helpsjdndnd
Answer:
d, I think
Step-by-step explanation:
absolute val of 5 is greater than absolute val of 4
Why the following triangles are congruent!
Answer:
Because the sides BO and MA are marked with one line through the middle, which means those sides are congruent, angle A and Angle O are marked with one line, the angles are congruent, and angles W and N are marked with two lines, which means they are congruent. Therefore the triangles are congruent
Find AC,AB=9x+1 BC=6x+25
Answer:
do u have a pic
Step-by-step explanation:
i need more info
2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
At an animal shelter, the ratio of cats to dogs is 2:3. If there are 40 cats and dogs altogether, then how many dogs are there?
NEED HELP ASAP!!!!
Answer:
40:60 so 60 dogs
Step-by-step explanation:
Its multiplied by 20
1. Which lines or segments are parallel? Justify your answer.
C H 45° M А R Segment CM || Segment HA by Converse of the Alternate Interior Angles
Postulate Segment CA || Segment HR by Converse of the Corresponding Angles
Postulate Segment CA || Segment HR by Converse of the Alternate Interior Angles
Postulate Segment CM || Segment HA by Converse of the Corresponding Angles Postulate
Answer:
Segment CA || Segment HR (by Converse of the Corresponding Angles Postulate)
Step-by-step explanation:
Postulate Segment CA || Segment HR by Converse of the Corresponding Angles
What is the value of k in the equation?
20
209
Answer:
13
Step-by-step explanation:
9+4=13
when dividing, exponents subtract
Answer:
The Answer is 20^13
Step-by-step explanation:
to solve this equation all you have to do really is look at the exponents
anytime your dividing an exponent its subtraction so if the top is 20^k and ur looking for k look at the other numbers we have on the bottom of the fraction
20^4 and we have the answer as 20^9 , all we have to do it add the exponents 4 and 9 to get 13
High Hopes ^^
Barry
Solve the compound inequality and graph the solutions,
-1
Answer:
Step-by-step explanation:...
A line has the following equation: y=\frac{6}{7}x+5y=
7
6
x+5
What is the slope of a line parallel to the given line?
Question Blank
type your answer...
What is the slope of a line perpendicular to the given line?
Question Blank
type your answer...
Answer:
Step-by-step explanation:
I'm still not exactly sure what the question really is, but the level suggests that it is
y = (6/7)x + 5
Any line that is parallel to this line has a slope of 6/7
Any line that is perpendicular to this line is a little more complicated.
slope of given line * slope of perpendicular line = - 1
6/7 * perpendicular slope = - 1
Multiply by 7
6*perpendicular slope = - 7
Divide by 6
perpendicular slope = - 7/6
A set of 4 consecutive integers has a sum of 234. What is the least of the 4 integers?
Answer:
57 is the least out of the 4 numbers or integers here
Step-by-step explanation:
57,58,59,60
hope this helps ;)
What does x equal? 2/7(x+4)=−6
Answer:
[tex]\boxed{x=-25}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7} (x+4)=-6[/tex]
→ Multiply everything by 7 to get rid of the fraction
[tex]2(x+4)=-42[/tex]
→ Expand the bracket
[tex]2x+8=-42[/tex]
→ Minus 8 from both sides to isolate 2x
[tex]2x=-50[/tex]
→ Divide both sides by 2 to isolate x
[tex]x=-25[/tex]
Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She
swims a total of 51 laps each week. How many laps does she swim on Monday