[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)?
Group of answer choices
Subtract 7 from –5.
Multiply 8 and 3.
Divide 7 by 2.
Add 6 and –5.
Answer:
12 24 3.5 1
Step-by-step explanation:
12
24
3.5
1
= 40.5 as your answer
Please help me 10 Stars granted image attached below
Answer:
(-1/2,0)
Step-by-step explanation:
Find the value of X for the given recatangle
Answer:
x=4
Step-by-step explanation:
2x+2x+3x-5+3x-5=30
10x-10=30
10x=40
x=4
x-y/m= x
Solve for y
[tex]x - \frac{y}{m} = x \\ - \frac{y}{m} = x - x \\ \frac{ - y}{m} = 0 \\ - y = 0 \\ y = 0[/tex]
Joe made a scale drawing of the community pool in his town.
The scale drawing is shown below.
If the scale factor is 1in : 7 m
What is the perimeter of the actual pool
The actual length and actual width in meters of the community pool are respectively; 28 meters and 10.5 meters
How to Interpret Scale Drawings?In the scale drawing of Joe as attached, we see that the community pool has a length to width ratio of;
(length : width) = 8 : 3
Let the actual length of the pool be 8x meters and the actual width be 3x meters.
We are told that the actual pool has a perimeter of 77 meters.
Thus;
2(8x + 3x) = 77
22x = 77
x = 3.5
Therefore, the length of the pool is 8x = 8(3.5) = 28 meters.
The width of the pool is 3x = 3(3.5) = 10.5 meters
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Complete Question is;
Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width in meters?
The length of a new rectangular playing field is 2 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 574 yards, what are its dimensions?
**"38;%7$८$83;%$87;$8$8#7#*28$८$$8$-$7!%8%-3८3-2"2
Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1
x2-2x-3
there u go :)
Sana works 40 regular hours per week at a local store. She earns $11.15 per hour and receives time-and-a-half pay
for each hour of overtime she works. Last week she worked 46 hours and received a gross pay of $512.90. This
amount is incorrect. How much does Sana's boss owe her?
Sana's boss owe her $36.60 wages more per week at a local store as a gross pay
Last week Sana worked 46 hours
So let us calculate her wages for the last week
For regular 40 hours she earns $11.15 per hour
Her earning for regulars 40 hours = 40× 11.15 = 446
Now we need to calculate her earning for overtime
She overworked for 46 hours less 40 hours= 6 hours
And for every overtime hour she gets one and a half times the original wages
Her overtime wages= 6 hours × $11.15 ×1.5times
= 6 × 11.15 × 1.5
=103.50
So her total earning of last week should be 446+ 103.50 which comes out to be $549.5
Sana is being paid only $512.90 which means Sana's boss owe her $36.60 more
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Use properties of exponents to write an equivalent expression. Write the correct exponent for each box.
(6 to the 7th power over 6 to the 5th power)
The correct exponent is 6².
A number's exponent indicates how many times to multiply it. Exponents might also be called powers or indices.
The base number (b) and the exponent (or power) number are both used in the mathematical operation known as exponentiation, abbreviated as bⁿ . It is pronounced "b (raised) to the (power of) n" in English. Exponentiation, where n is a positive integer, is the process of repeatedly multiplying bases; the result is known as bⁿ.
Subtract the exponent of the denominator from the exponent of the numerator to determine the quotient of two numbers with the same base. The (aᵇ)ⁿ = aⁿᵇ exponent power rule applies. Multiply the exponent by the power to raise a number with that exponent to that power.
The given expression is [tex]\frac{6\times6\times6\times6\times6\times6\times6}{6\times6\times6\times6\times6} = \frac{6^7}{6^5}[/tex]
Now we will use the properties of exponents :
6⁷⁻⁵=6²
Hence the required exponent is 6².
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2.7(k - 8) -6.8=-4.1
Answer: k = 9
Step-by-step explanation:
(Add 6.8 to both sides.)
2.7(k-8)=-4.1+6.8
(Simplify -4.1+6.8 to 2.7)
2.7(k-8)=2.7
(Divide both sides by 2.7)
k-8=1
(Add 88 to both sides.)
k=1+8
(Simplify 1+8 to 9)
k=9
A teacher is handing out markers to students. She has only 100 markers to hand out to her 18 students. Write and solve an inequality to represent the number of markers each student will receive. Assume each person gets the same number of markers. Use x as your variable.
Answer:
100 >/ 18x = ~5 markers
Step-by-step explanation:
The teacher can only hand out 100 markers or less. Not more. We can't get to exactly 100 with an interger as our answer. I got 18x from the fact that there are 18 students. X represents how many markers each one will get. X equals 5.555 repeating, but you can't have a decimal amount of markers, but you can't round up. That would mean that the teacher gave out 108 markers. That's not possible.
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
answer:
48 miles per hour
Determine an equation for each
parallel line described.
What is the equation of a line
parallel to y = -5x + 3 that
passes through (3, 1)?
Answer:
y = -5x + 16
Step-by-step explanation:
Parallel lines have the same slope. The slope is -5. We need to find the y-intercept. We will use the slope(-5) the x (3) and the y (1) to find this.
y = mx + b Plug in what we know
1 = -5(3) + b
1 = -15 + b Add 15 to both sides
16 = b
y = mx + b
y = -5x + 16
yeah. I'm a need help due tomorrow morning
Answer:
Step-by-step explanation:
I CHECKED UR OTHER ONE CHECK IT PETER :>
Answer:
Ranked least to greatest:
l 125 l
l -127 l
l -132 l
(the absolute value of 125, the absolute value of -127, and the absolute value of -132)
Step-by-step explanation:
Absolute value are the bars around a number that essentially is the distance of that number from ZERO. An easy way to visualize this is through a numberline. Therefore, even negative numbers under the absolute value of, become positive since the distance from zero can't be negative.
Looking at the problem, descending means going down in this case it symbolizes the negative.
So putting absolute value bars around each number we know that the absolute value of 125 is 125.. The absolute value of -132 is 132. The absolute value of -127 is 127.
Ordered from least to greatest we get: 125, 127, 132.
hope that helped! please mark brainliest:)
the greatest common factor of 6 and 34
Find the value of x.
Answer:
x=8
Step-by-step explanation:
8x-6=58
58+6
64 because u must get rid of numbers for x, but you get rid of numbers father then x
8x=64
64/8
x=8
hope this helps!
Answer:
x=8
Step-by-step explanation:
is 1.625 greater or less than 1 3/4?
Answer:
less
Step-by-step explanation:
1 3/4 is equal 1.75 so 1.625 is less than 1 3/4
Answer:
I think it's greater than but it could be less than
Step-by-step explanation:
19.
Two trains leave New York traveling in opposite directions. The faster train travels 10mph faster than
the slower train. Find the speed of each train if the trains are 270 miles apart after 3 hours.
Answer:
One train is traveling at 40 mph and the other train is traveling at 50 mph
Step-by-step explanation:
Distance = rate times time
If I add the two rates and times together, I will get the total distance
Train 1
Rate x + 10
Time 3
Train 2
Rate x
Time x
3(x + 10) + 3x = 270 Distribute the 3
3x + 30 + 3x = 270 Combine like terms
6x + 30 = 270 Subtract 30 from both sides of the equation
6x = 240 Divide both sides by 6
x = 40 This is the slower train. Add 10 for the faster train.
What’s the x intercept of -2x+5y=-30
Answer:(15,0)
Step-by-step explanation:
I will give brainlist
One third times the difference of thirty and a variable is three fourths.
one third times the quantity 30 minus y equals three fourths
one third times the quantity y minus 30 equals three fourths
one third times 30 minus y equals three fourths
one third times y minus 30 equals three fourths
It should be noted that one third times the difference of thirty and a variable is three fourths will be D. one third times y minus 30 equals three fourths
How to illustrate the information?It should be noted that an expression simply shows that relationship between the numbers and the variables that are explained.
In this case, it should be noted that one third times the difference of thirty and a variable is three fourths will be one third times y minus 30 equals three fourths
Therefore, the appropriate explanation that first the information illustrated is D.
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Answer:
The guy above me is correct its D :)
Step-by-step explanation:
please don't delete this again :)
have a goody day
ma'am or sir
The double number lines show the ratio of feet to miles.
From the double number lines which shows the ratio of feet to miles, there are 15840 feet in 3 miles.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
From the given double number lines, we would apply direct proportion as follows:
10,560 feet = 2 miles
X feet = 1 mile
Cross-multiplying, we have:
X = 10,560/2
X = 5280 feet.
Now, we can determine the number of feet in 3 miles:
3 miles = 5280 × 3
3 miles = 15840 feet.
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Complete Question:
The double number lines show the ratio of feet to miles.
How many feet are in 3 miles?
9x-5x=-12 help pleaseeeeeeee
Answer:
x = -3
Step-by-step explanation:
I assume we're solving for x.
9x -5x = -12
Combine like terms.
4x = -12
Divide both sides by 4.
x = -3
solve. |x − 3| − 10 = -5
HELP
Answer: 8
Step-by-step explanation: 8 minus 3 would be 5, subtracting 10 would then get to -5 (simplified)
A child is 40 inches tall at age 6. For the next few years, the child grows by 2
inches per year. Explain why the child's height after age 6 is a linear function of his age. Identify the
growth rate and initial value. Using t for time in years since age 6 and H for height in inches, find a
formula for H as a linear function of t.
Answer:
H(t) = 43in + (2in/year)*t.
Step-by-step explanation:
im right
Slope what is the slope
let f(x) x²+2x-3
g(x) 3x²-x+7
1. find (f+G)(x)
2. find (f-G)(x)
Answer:
Question 1:
[tex]{ \tt{(f +G)(x) = ( {x}^{2} + 2x - 3) + (3 {x}^{2} - x + 7)}} \\ \\ { \tt{ = ( {x}^{2} + 3 {x}^{2}) + (2x - x) + ( - 3 + 7) }} \\ \\(f + G)(x) = { \tt{4 {x}^{2} + x + 4 }}[/tex]
Question 2:
[tex]{ \tt{(f - G)(x) = ( {x}^{2} + 2x - 3) - (3 {x}^{2} - x + 7) }} \\ \\ = { \tt{( {x}^{2} - 3 {x}^{2} ) + (2x - ( - x)) + ( - 3 - 7)}} \\ \\ (f - G)(x) = { \tt{ - {2x}^{2} + 3x - 10 }}[/tex]
chapter 8
Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Given the radius in the diagram, the area of the circle to the nearest tenth is 116.9m².
What is the area of the given circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi.
Given the data in the question;
Radius of the circle r = 6.1mArea A = ?Plug the given value into the area of circle formula and solve for A.
A = πr²
A = π × 37.21m²
A = 116.9m²
Given the radius in the diagram, the area of the circle to the nearest tenth is 116.9m².
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what is 3 1/10s = 6 1/5
The solution to the given equality is of s = 2.
What is the equation and what is it's solution?The equation for this problem is given by:
(3 and 1/10) s = 6 and 1/5.
The mixed numbers as decimals are given as follows:
3 and 1/10 = 3 + 1/10 = 3 + 0.1 = 3.1.6 and 1/5 = 6 + 1/5 = 6 + 0.2 = 6.2.Hence the equation with decimal numbers is given by:
3.1s = 6.2
s = 6.2/3.1
s = 2.
The solution to the given equality is of s = 2.
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Aiden has 5 pairs of nike shoes, 3 pairs of adidas shoes and 2 pairs of reebook shoes. what is the ratio of nike shoes to adidas?
5+3+2=10
Answer: 10:3
Write a sequence that has the stated property.
The 2nd difference of the sequence can be modeled with the expression 2x-3.
The sequence that can be modeled by the expression is T(n+1) = Tn + 2x - 3 where n >= 1
How to determine the sequence that can be modeled by the expression?The expression of the first difference is given as
2x - 3
Rewrite properly as
d = 2x - 3
Where the common difference is represented by d
The second difference of an arithmetic sequence is calculated as
d = T3 - T2
So, we have
T3 - T2 = 2x - 3
Add T2 to both sides of the equation
So, we have
T3 = T2 + 2x - 3
Express 3 as 2 + 1
So, we have
T(2+1) = T2 + 2x - 3
Express 2 as n
So, we have
T(n+1) = Tn + 2x - 3 where n >= 1
Hence, the sequence that can be modeled by the expression is T(n+1) = Tn + 2x - 3 where n >= 1
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