Hey there,
The squeeze theorem shows if [tex]f(x)\leq g(x)\leq h(x)[/tex] for all real numbers [tex](-\infty,~\infty)[/tex] then f(x) = h(x) but g(x) has to equal that as well.
Let's say we have [ [tex]\lim_{n \to \infty} (\frac{cos~x}{x})[/tex] ]
~Apply the theorem
Note that [ [tex]-1 \leq cos~x \leq 1[/tex] ] and [ [tex]\lim_{n \to \infty} (-\frac{1}{x})\leq \lim_{n \to \infty} (\frac{cos~x}{x})\leq \lim_{n \to \infty} (\frac{1}{x})[/tex] ]
~Apply the infinity property to every side but the middle
[tex]\lim_{n \to \infty} (-\frac{1}{x}) = 0[/tex]
[tex]\lim_{n \to \infty} (\frac{1}{x}) = 0[/tex]
So... [tex]\lim_{n \to \infty} (\frac{cos~x}{x})=0[/tex]
Best of Luck!
Two lines are parallel. Which of the following statements are true?
Select two answers that apply.
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
Answer:
The lines do not intersect. and The lines have the same slope.
Step-by-step explanation:
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
Here, we have,
given that,
Two lines are parallel.
we have, given options are:
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
now, we know that,
Parallel lines never intersect, and their slopes are equal.
The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.
so, we get,
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
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Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25
(a) What does the 1.3 represent in this context? Give units.
(b) What is the continuous growth rate of users per year?
(c) What is the annual percent growth rate of users per year?
(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.
Answer:
A) 1.3 represents the number of foodbank users in thousands in the year 2006
B) 0.81 per year
C) 124.79%
D) the doubling rate is less than a year.
Step-by-step explanation:
A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands
Thus, in 2006,t = 0.
So, N(0) = 1.3e^(0.81 × 0)
N(0) = 1.3
Thus,1.3 represents the number of foodbank users in thousands in the year 2006
B) From the question, we see that the continuous growth rate is 0.81t.
This is 0.81 per year
C) The exponent of the growth rate is e^(0.81t).
Thus gives; 2.2479^(t)
This means the annual growth factor for each year is 2.2479.
Thus,annual percent growth rate is;
(2.2479 - 1) × 100% = 124.79%
D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.
If f(x) = 2x - 3, find f(-2).
Answer:
0.5
Step-by-step explanation:
-2 = 2x - 3
1 = 2x
0.5 = x
Answer:
f(x) = -7
Step-by-step explanation:
f(x) = 2x - 3 turs into
f(x) = 2 x -2 - 3
f(x) = -4 - 3
f(x) = -7
PLEASE HELP! WILL MARK BRAINLIEST!!
Answer:
<RQS=121
Step-by-step explanation:
please mark brainleist
The cost of parking a car in an hourly lot can be represented by the following equation y = 3x + 2 What does the 3 tell you about the cost of parking?
A) The hourly rate is $3
B) You can only park for 3 hours
C) There is a $3 fee to park
D) it costs 5 dollars to park all day
Answer:
A
Step-by-step explanation:
The three represents the amount it costs for each hour parked, and is continuous, which is a rate.
Store purchases boxes of pasta for $0.82 in cans of sauce for $1.62 how much profit does the store make from this purchase?
Answer: $2.44
Step-by-step explanation: ur just gonna do 0$.82 + $1.62 = $2.44
THERES UR ANSWER.........!!!!!!!!!!!!!
When dividing fractions, like 1/5 divided by 3/4 what do we do?
Answer:
we cry bc math is hard JKK unless ?
but fr we can write out an equation by doing (1/5 ÷ 3/4) and then switch the sign to multiplication and we can keep the first fraction the same (in this case 1/5) and then we flip the second fraction BUT when we flip the second fraction upside-down we have to change the symbol to multiplication (1/5x4/3)
then after that all we do is multiply the denominators and numerators :)
1 x 4 = 4
_______
5 x 3 = 15
answer would be 4/15
A fraction is a way to describe a part of a whole. The result of the division of the fraction is 4/15.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The division of two fractions is carried out by multiplying the dividend fraction(Numerator) by the reciprocal of the divisor fraction(Denominator).
The divisions of the given fractions are carried out as shown below.
1/5 ÷ 3/4
[tex]=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}\\\\\\= \dfrac{1 \times 4}{5 \times3}\\\\=\dfrac{4}{15}[/tex]
Hence, the result of the division of the fraction is 4/15.
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In the cafeteria, 104 milk cartons were put out for breakfast. At the end of breakfast, 17 remained. A. What is the ratio of the number of milk cartons taken to the total number of milk cartons? B. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
Answer:
(A) 87/104
(B) 17/87
Step-by-step explanation:
The first step is to calculate the number of milk carton that was taken
= 104-17
= 87
(A) The ratio of the number of milk carton taken to the total number of milk carton can be calculated as follows
= 87/104
(B) The ratio of the number of milk cartons remaining to the number of milk cartons taken can be calculated as follows
= 17/87
Monique purchases a $5,100 dining room set. She can't afford to pay cash, so she uses the installment plan, which requires an 18% down payment. How much is the down payment?
Answer:
$918 is her down payment
Step-by-step explanation:
.18×5100
The Down payment is $918.
What is down payment?
Down payment is the initial amount which is paid by the person who purchases an item on credit.
It is the advanced payment which is given at starting of purchase an item. It is a cash payment which is made at the beginning of a purchase of an item.
As per the question, monique purchased $5100 dining room set.
As she cannot afford to pay all amount immediately, she took it on credit on installment but she has to pay down payment, an initial amount of certain percentage, which is 18% down payment.
Cost of an dinning room set = $5100
Down payment = 18%
So, the amount of down payment, which she will pay intially is $5100 × 18/100 = $918.
Monique will pay $918 as a down payment.
$918 is the advanced amount which will be paid by monique to purchase dining room set as a down payment.
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Kira is riding her bicycle. She rides at a speed of 8 kilometers per hour for 12.8 kilometers. For how many hours does she
ride?
Answer:
1.6 hours
Step-by-step explanation:
12.8 divided by 8 = 1.6
HELPP!!! round 5.4032 to the nearest hundredth
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
Answer:
Examine the diagram. It is not drawn to scale.
A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
In the diagram shown, m∠1 = 30° and m∠5 = 120°.
What is the sum of the measures of ∠4, ∠5, and ∠6?
✔ 360
degrees
Identify the following angle measures.
m∠2 =
✔ 60
degrees
m∠4 =
✔ 150
degrees
m∠6 =
✔ 90
degrees
Step-by-step explanation:
Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6
I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
From the diagram:
m∠1 + m∠4 = 180° (sum of angles in a straight line)
30 + m∠4 = 180°
m∠4 = 150°
m∠2 + m∠5 = 180° (sum of angles in a straight line)
120 + m∠2 = 180°
m∠2 = 60°
m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)
30 + 60 + m∠3 = 180°
m∠3 = 90
m∠3 + m∠6 = 180° (sum of angles in a straight line)
90 + m∠6 = 180°
m∠6 = 90°
The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.
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Evaluate f(x) = 9x - 6 for x=1
Answer:
3
Step-by-step explanation:
9(1) - 6 is equal to 3
9 * 1 is 9, then you subtract 6, then you get 3
Answer:f(x)=3
Step-by-step explanation: Firstly, multiply 9 per 1 because "x" is equal to one and after diminish per 6 and so have the result 3.
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. AAS
B. SAS
C. HL
D. Not enough information
Answer:
AAS
Step-by-step explanation:
Angles in left and right corner are congruent (isosceles triangle)
Two right angles in the middle
Define the term PROPORTIONAL RELATIONSHIP.
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Write the proportional equation that represents the table below.
Solve the equation for the red variable.
Answer:
w=6(6.6667-g)
Step-by-step explanation:
g=1/6w+6.6667
-1/6w=6.6667-g
-w=6(6.6667-g)
w=6(6.6667-g)
A pack of 48 water bottles at Costco is $3.95. What is the unit rate price for each water bottle?
Answer:
use caculator and do 48 divided by 3.95
Step-by-step explanation:
and u will get your answer
What is the range of the function
graphed below?
(3,3)
describe the shape of the cross section formed by the intersection of the plane and the solid
Answer:
What are the Answers?
Step-by-step explanation:
Rectangle is the shape of the cross section formed by the intersection of the plane and the solid.
If a plane intersects a cylinder in a perpendicular manner, such that the plane is parallel to one of the bases of the cylinder, the resulting cross-section will be a rectangle.
The rectangle's dimensions will depend on the dimensions of the cylinder and the specific position of the plane within the cylinder.
The length of the rectangle will be equal to the circumference of the cylinder, and the width will be equal to the height or the diameter of the cylinder.
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£78 is split equally between 5 people how many will each person get
Answer:
15,6....................
Answer:
£15.6
Step-by-step explanation:
78/5=15.6
If you have the equation of different situations into y = mx + b, What do m and b represent?
A
m represents the y-intercept and b represents the slope.
B
m represents the growth and b represents the initial value.
m represents the slope and b represents the y-intercept.
D
m represents the growth and b represents the Figure #0.
Answer:
C. m represents the slope and b represents the y-intercept.
Step-by-step explanation:
The equation of straight line is usually expressed as:
y = mx + b
Where y is the vertical axis component
x is the horizontal axis component
m is the slope
b is the y-intercept
At the y-intercept, x = 0
Also, the slope is the rise divided by the run.
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used. A jet is flying at 350 miles/hour in still air. It is traveling in the direction of 210°, where 90° represents North. Find the component form of vector r, which represents the jet's motion. -303.11 -175 350 -320.72 210 150 240 r = <__ cos __ , __ sin __> = <__ , __>
Answer:
-303.11 -175
Step-by-step explanation:
The jet has a speed of magnitude 350 miles/hour and travelling in a direction of 210°. Hence the jet can be represented with |r| = 350, θ = 210°.
The component form of the vector has both the x component (horizontal component) and the y component (vertical component) Therefore:
The horizontal component = [tex]r_x=|r|cos\theta=350*cos(210^o)= -303.11[/tex]
The vertical component = [tex]r_y=|r|sin\theta=350*sin(210^o)= -175[/tex]
Answer:
Step-by-step explanation:
The table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to find an equation of the line of best fit for the data. Round each value to the nearest hundredth.
The line of best fit is y = _
(I need this by 11 pm please)
Answer:
By rounding up of the constant and coefficient terms, we have;
The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x
Step-by-step explanation:
The table for the data on the number of movie admissions each year is presented as follows;
Year, x [tex]{}[/tex] Admission, y
0 [tex]{}[/tex] 1.24
2 [tex]{}[/tex] 1.26
4 [tex]{}[/tex] 1.39
6 [tex]{}[/tex] 1.47
8 [tex]{}[/tex] 1.49
10 [tex]{}[/tex] 1.57
Using a graphing calculator, we have that the line of best fit is given by the following equation;
y = 1.23047619048 + 3.45714285714 × 10⁻²·x
Which is approximately, y = 1.23 + 3.46 × 10⁻²·x
half of a number is subtracted from 19, the result is 13 what is the number
Answer:
12
Step-by-step explanation:
12 / 2 = 6
19 - 6 = 13
Answer:
12
Step-by-step explanation:
19-13 is 6
Half of 12 is 6
√50
A. 5√2
B. 3√5
Which one?
Answer: A. 5√2
Apply the radical rule: √xy = √x·√y
√50 = √25·2 = √25·√2 = 5√2
∴ √50 = 5√2.
8 times a number squared
Answer:
8 * x^2
Step-by-step explanation:
Answer:
yes yes yes 0982111111
Consider the equation : 2x+6y=102 x + 6 y = 10.
If we graph the equation, what is the slope of the graph? Remember you can rewrite the graph in slope-intercept form to help determine your solution: y=mx+b. m = slope.
Answer:
hmmmmmmmmmmmmmmmmmm i would but im 2 lazy and bored
Step-by-step explanation:
SORRY
What is the slope of the table below? (Pls hurry)