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!
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Oscar is raising monarch caterpillars for a summer science project. Every day, he feeds 4 fresh milkweed leaves to each caterpillar. Oscar wants to know how many caterpillars he can feed in a day with a total of 28 leaves. Which equation can Oscar use to find n, the number of caterpillars he can feed in a day?
Answer: n = 28/4
Step-by-step explanation:
Number of leaves uses to feed each caterpillar = 4.
If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:
n = 28/4
This implies that 7 caterpillars can be fed in a day.
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches
Answer:
A.380160 B. 240
Step-by-step explanation:
1 Square foot (sq ft) is equal to 144 square inches (sq in). To convert square feet to square inches, multiply the square foot value by 144.
If you order 3 chickens wraps and order 2 orders of potatoes for a total bill of $42.95 someone else orders 5 chicken wraps and 4 orders of potatoes for a total bill of $74.91. What is the cost of a chicken wrap and what is the cost of one order of potatoes
Answer: The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
Step-by-step explanation:
Let the cost of a chicken wrap be x
Let the cost of one order of potatoes be y.
From the question,
3x + 2y = $42.95 ...... equation i
5x + 4y = $74.91 ....... equation ii
Multiply equation i by 5
Multiply equation ii by 3
15x + 10y = $214.75 ..... equation iii
15x + 12y = $224.73 ....... equation iv
Subtract equation iv from equation iii. This will be:
-2y = -$9.98
y = $9.98/2
y = $4.99
Since 3x + 2y = $42.95
3x + 2($4.99) = $42.95
3x + $9.98 = $42.95
3x = $42.95 - $9.98
3x = $32.97
x = $32.97/3
x = $10.99
The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
-4x + 6(4x -3)= -8 help im timed
Answer:
x = 1/2
Step-by-step explanation:
Step 1: Write equation
-4x + 6(4x - 3) = -8
Step 2: Solve for x
Distribute 6: -4x + 24x - 18 = -8Combine like terms: 20x - 18 = -8Add 18 to both sides: 20x = 10Divide both sides by 20: x = 1/2Step 3: Check
Plug in x to verify it's a solution.
Substitute: -4(1/2) + 6[4(1/2) - 3] = -8Evaluate: -2 + 6[2 - 3] = -8Evaluate: -2 + 6(-1) = -8Evaluate: -2 - 6 = -8Evaluate: -8 = -8HELP WIL GIVE BRAINLEIST
Answer:
Sorry and where is your questions..
What is the conclusion in this conditional statement?
If a city is in the United States, then it is in North America.
Answer:
Yes
Step-by-step explanation:
Answer:
True because if the United States is in North America which it is, a city of the United States is most likely to be in North America.
Step-by-step explanation:
Lea wrote a number riddle. Her clues were: 9 is 10 times the value of the 9 in 329,513 2 is 110 the value of the 2 in 7,562 6 is 110 the value of the 6 in 4.68 Which number is an answer to Lea's riddle? 19,426 95,826 341,950.26 498,173.26 I need help solving this question can someone plz help me
Answer: 498,173.26.
Step-by-step explanation:
Place value of the 9 in 329,513 = 9,000
9 is 10 times the value of the 9 in 329,513.
Then, place value of 9 in required number = 10x 9,000 = 90,000
from options only 95,826 and 498,173.26 has 9 at ten thousands place. (cancel all other options)
Also, 2 is [tex]\dfrac1{10}[/tex] the value of the 2 in 7,562.
place value of 2 in required number =[tex]\dfrac1{10}\times2=0.2[/tex]
i.e. place value of 2 in required number 2 tenths
which is in 498,173.26 [place value of 6 is [tex]\dfrac1{10}[/tex] the value of the 6 in 4.68]
Hence, th required number is 498,173.26.
rounded to the nearest thousandth the number 0.00006132 is___
Answer:
to the right of the decimal is tenths > hundredths > thousandths so since at the thousands place the following number is 0 you round down so the answer is 0
Step-by-step explanation:
-12.4 + 9.2 =
show work
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First we have to line them up by the decimal points...
-12.4
+ 9.2
-3.2
That's all after you solved it you get -3.2
bob claims that he can map rectangle 1 to rectangle 2 select all of the transformations or series of transformation that support his claim
Answer:
The first thing you need to notice is that each mark in the coordinate axis represents 2 units.
Now, let's analyze each option that maps rectangle 1 to rectangle 2.
Reflection over the line x = 1, and a translation of 2 units down.
You can see that the right end of rectangle 1 us located at x = -2
The distance between x = -2 and the line of reflection is:
1 - (-2) = 3
Then the left end of the reflected rectangle will e 3 units at the right of x = 1.
1 + 3 = 4
Will be at x = 4, same as rectangle 2.
Now we move it 2 units down, and we will have rectangle 1 mapped into rectangle 2.
Translation of 12 units right, and then 2 units down.
The right end of rectangle 1 is at x = -2
The right side of rectangle 2 is at x = 10
The difference is 10 -(-2) = 12
Then we must move rectangle 1 12 units to the right.
Now, same as before, we can move rectangle 1 2 units down and we will have rectangle 1 mapped into rectangle 2.
Rotation of 180° around the point (1, 4)
This means a reflection over the line x = 1, followed of a reflection over the line y = 4.
We already see that a reflection over the line x = 1 leaves rectangle 1 right above rectangle 2. And the line that separates them is the line y = 4, then when we do a reflection over that line, we will have rectangle 1 mapped into rectangle 2.
Answer:
D, E, and F
Step-by-step explanation:
1. Factor the expression completely 20x^4+80x^3-5x^2-20x
Answer:
5x(x+4)(2x+1)(2x−1)
Step-by-step explanation:
n^6
——
n^3
(n^6 divided by n^3)
Answer:
n³
Step-by-step explanation:
Exponent Division Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]
Step 1: Define
n⁶/n³
Step 2: Use Exponent Rule
n⁶/n³ = n⁶⁻³ = n³
Answer:
n^3
Step-by-step explanation:
Apply the exponent rule:
x^a
----- = x ^ a-b
x^b
so basically, you're saying n ^ 6-3, which is n^3
Which of the following is the correct equation for this function?
Answer:it’s D
Step-by-step explanation: put the equation into standard form and plugged it into my graphing calculator.
A line passes through the point (8, -7) and has a slope of -3/4
Write an equation in slope-intercept form for this line
Answer:
y = -3/4x -7
Step-by-step explanation:
hope this helps!
7. PLS I NEED AN ANSWER ASAP
Part A: 3x + 15 = 5x - 25
Part B: x = 20
Calculate the total area of the figure below.
Answer:
156
Step-by-step explanation:
What is the equation of the line that passes through the point (-3,0) and has a
slope of -1/3
Step-by-step explanation:
slope= -1/3 (-3,0)
y=mx-or+b
y= -1/3(-3)+b
y= 3/3+b
y=1+b
0=1+b
b= -1
the equation is y= -1/3x-1
Line u has a slope of -3/4. Line v is parallel to line u. What is the slope of v
Answer:
-3/4
Step-by-step explanation:
Slopes are equal for parallel lines
Slope of line v is -3/4
Find the Highest Common Factor (HCF) of 196 and 12
Answer:
The greatest common factor is 4
Step-by-step explanation:
1.Find the prime factorization of 12
a) 12 = 2 × 2 × 3
2.Find the prime factorization of 196
a) 196 = 2 × 2 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
a)GCF=2x2
Therefore, GCF = 2 × 2
GCF = 4
The greatest common factor of the numbers 196 and 12 is 4.
What is the greatest common factor?The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. The greatest common factor is the largest number which can divide both the numbers.
1. Find the prime factorization of 12
12 = 2 × 2 × 3
2. Find the prime factorization of 196
196 = 2 × 2 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
GCF=2x2
GCF=4
Therefore, the greatest common factor of the numbers 196 and 12 is 4.
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if you dog a 6ft hole...how deep is that hole??
-Beetlejuice
Answer:
im confused lol
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
simplify the following expression: -4x^5y^4x x 5xy^7z^4
Answer:
-4x^12y^11z^4
Step-by-step explanation:
What is the measure of Angle 1 in this figure?
A. 30°
B. 80°
C. 110°
D. 130°
Answer:
A
Step-by-step explanation:
can anyone explain how to find slope?
Answer:
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
so you will have to use m= rise/ run and for ex if you have the points (4,6) and (-3,3) you would lable 4 as x1, 6 as y1, -3 as x2, and finally 3 as y2 then you would use this form to find slope m= y2-y1/ x2-x1 then you would plug in numbers 3 - 6/ -3 - 4 then you would do the math and get -3/-7 (2 negatives equal a positive) so you would get 3/7 and theres the slope the slope is 3/7
The cost of the lunches for the field trip can be represented by the expression:
4(29) + 4(6).
Identify the values to make these expressions true.
Expand 29 to create an equivalent expression with friendly numbers.
4(
) + 4(6)
Distribute the 4.
Evaluate the multiplication
80 + 36 + 24 =
20 + 9 is the first answer
4(20)+4(9)+4( 6) is the second answer
80+36+24=140 is the third answer :)
Answer:
1: 20 + 9
2: 4(20) + 4(9) + 4(6)
3: 140
Step-by-step explanation:
look at the picture
A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x
Answer:
the answer to the question is A
An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:
y = 4(3)²ˣ
Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
Learn more about Equation:
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Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Josh bought 5 chocolate pumpkins,3 masks and 10 candy witches. He spent $37.50. Dan bought 4 chocolate pumpkins, 5 masks and 6 candy witches. He spent $43.45. Write a system of equations to represent this problem.
Answer:
[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]
Step-by-step explanation:
System of equations
Let's set the following variables:
x=Price of chocolate pumpkins
y=Price of masks
z=Price of candy witches
We'll establish the system of equations needed to know the prices of all the Halloween treats.
Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:
[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]
Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:
[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]
Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:
[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]
Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:
[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]
I WILL GIVE YOU BRAINLIEST IF YOU GIVE AN ACTUAL ANSWER
If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side.
Answer:
Step-by-step explanation:
You could make 8 different ways
24 = 1*24 = 2*12 = 3*8 = 4*6 = 6*4 = 8*3 = 12*2 = 24*1
If you were to describe a translation of triangle ABCABC, what information would you need to include in your description? If you were to describe a rotation of triangle ABCABC, what information would you need to include in your description? If you were to describe a reflection of triangle ABCABC, what information would you need to include in your description?
Answer:
1) The information required in order to describe a translation of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The amount by which the triangle ABC is translated along the x-axis
c) The amount by which the triangle ABC is translated along the yx-axis
2) The information required in order to describe a rotation of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The coordinates of the point about which the triangle ABC is to be rotated
c) The amount in degrees, the triangle ABC is to be rotated
2) The information required in order to describe a reflection of triangle ABC to A'B'C', are;
a) The coordinates of the vertices of the triangle ABC
b) The equation of the line about which the triangle ABC is to be reflected
Step-by-step explanation:
2x + 3y = 6
y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2
Answer:
y= −2/3x+2
Step-by-step explanation:
2x+3y=6
Add -2x to both sides.
2x+3y+−2x=6+−2x
3y=−2x+6
Divide both sides by 3.
3y/3=−2x+6/3