If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
Answers
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
Related Questions
find the number of size of a polygon .if each interior angle is 150°
Answers
Answer:
n=17/6 ans...............
The side measurement of the wall of the Green House is 9m. Find the cost of the glass required for the walls of the Green House, if the cost of 1m2 glass is AED 12.
Answers
Answer:
AED 972
Step-by-step explanation:
Area of the wall = 9² = 81 m²
each m² costs AED 12
so 81 m² will cost 12×81 = AED 972
Maureen plants tulips in a rectangular flower bed that is 2 cubed feet wide and 2 Superscript 4 feet long.
Answers
Answer:
The area would be 128ft^2
2^4 i= 2x2x2x2
2^3 = 2x2x2
multiply them and you get 128ft6^2
Answer:
128ft^2
Step-by-step explanation:
took the quiz just now :D
I need help ASAP!!Please be sure that you know the answer
Answers
Answer:area is 60, height is 4, and perimeter is 34
Step-by-step explanation:
Solve for x and draw a number line. 3x−91>−87 AND 17x−16>18
Answers
Answer:
I hope this will help!
Step-by-step explanation:
I can't figure this out, please help! I'll give a brainliest
Answers
Answer:
u can use pythagoras or sine rule
Step-by-step explanation:
cos-1(9/11)
Find the derivative of f(x) = -2x2 + 11x at x = 9.
Answers
Answer:
The value of the derivative at x = 9 is -25
Step-by-step explanation:
Here in this question, we are told to find the derivative of the given equation at the point where x = 9
What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation
In notation form, what we are to find is f’(9)
So;
f(x) = -2x^2 + 11x
f’(x) = -4x + 11
So therefore;
f’(9) = -4(9) + 11
f’(9) = -36 + 11
f’(9) = 11-36
f’(9) = -25
the school bought a sandbox that measures 50 meters long 25 meters wide and 5 meters tall how many cubic meters if sand would you need to buy if each cubic meter of sand cost $1.50 how much money would it cost to fill the sandbox
Answers
Answer:
Cost of sandbox = $9,375
Step-by-step explanation:
Given:
Height of sandbox = 5 m
Length of sandbox = 50 m
Width of sandbox = 25 m
Cost of 1 cubic meter = $1.50
Find:
Cost of sandbox
Computation:
Volume of sandbox = (50)(25)(5)
Volume of sandbox = 6,250 m³
Cost of sandbox = 6,250 × $1.50
Cost of sandbox = $9,375
What is the product?
8.25 x
1
5
0.82
O 1.65
0 8.25
16.5
Answers
Answer:
Answers
product, and assign a number to each person. ... 0.82. 12–13. 9. 0.18. 1.00. Total. 50. 1.00. F requency. 0. 1. 2. 3. 4. 5. 6. 7. 8 ... 3.12 (a) x = 25661.3333, ˜x = 25514.5 (b) Skewed ... N(8.25, 0.0002857).
Answer:
the answer is c
Step-by-step explanation:
i just took the test
If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
A=66
B=229.18
C=114.59
D=240
Answers
Answer:
229.18 degrees
Step-by-step explanation:
The circumference of a circle with radius r is 2×pi×r.
So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.
So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.
There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.
Find the surface area of the rectangular prism
Answers
Front: 60 cm^2
Area = 6 x 10 = 60
Back: 60 cm^2
Area = 6 x 10 = 60
Right: 30 cm^2
Area = 3 x 10 = 30
Left: 30 cm^2
Area = 3 x 10 = 30
Bottom: 18 cm^2
Area = 6 x 3 = 18
TOTAL: 216 cm^2
Formula I used:
SA of a rectangular prism:
2 (lw + hl + w)
Just use the formula without the “lw”. After you used the formula, just solve for “lw” again and add it back to the final answer. This is because the upper part of the prism is not included.
Answer:
216 square cm
Brainliest, please!
Step-by-step explanation:
A rectangle has 6 sides. 2 are the same, 2 are the same, and the final 2 are the same.
(6 x 10) x 2 = 60 x 2 = 120 (Front + Back)
(3 x 6) x 2 = 18 x 2 = 36 (Top + Bottom)
(3 x 10) x 2 = 30 x 2 = 60 (Left + Right)
120 + 36 + 60 = 216 square cm
Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say?
Answers
Answer:
12
Step-by-step explanation:
The first number they will both say = L.C.M of (6,4)
=> L.C.M of (6,4) is 12
The first number they will both say is 12
19) Caculate the unit rate. Driving 95 miles on 3 gallons of
gas. How many miles are driven on 1 gallon of gas?
Answers
Answer:
31.6666666 miles / gallon
Step-by-step explanation:
Take the miles and divide by the gallons
95 miles / 3 gallons
31.6666666 miles / gallon
The volume of this cube is 64 cubic feet. What is the value of a?
Answers
Answer:
a = 4 feet
Step-by-step explanation:
Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.
[tex]\sqrt[3]{64}=4[/tex]
Therefore, a = 4 feet.
Answer:
4
Step-by-step explanation:
To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:
a^3 = 64
With the equation, we can realize 4*4*4 is 64, meaning a is 4.
Determine the measure of the interior angle at vertex D. A. 27 B. 162 C. 20 D. 36
Answers
Answer:
162°
Step-by-step explanation:
The shape is a hexagon, so the interior angles equal 720. (N-2)*180=720
9x+9x+9x+2x+9x+2x=720
40x=720
x=720/40
x=18
D=9x=9(18)=162°
The sum of interior angles of a polygon with n sides is [tex](n-2)\cdot180[/tex]
In this case [tex]n=6[/tex]
Therefore
[tex]4\cdot9x+2\cdot2x=(6-2)\cdot180\\36x+4x=4\cdot180\\40x=720\\x=18[/tex]
[tex]9x=9\cdot18=162[/tex]
So B
ASAPPPPPP
What are the zeros of this function?
A. X4 and x 6
B. X-6 and x = 5
C. X-6 and xs-4
D. X 0 and x 4
Answers
The zeros of a quadratic function are when the parabola crosses the x axis.
Here it crosses the x axis at x=4 and x=6
(81/16)1/4 +(81/16)0
Answers
Answer:
should be 0.28125
Step-by-step explanation:
Is △FHK similar to △GHJ? If so, which postulate or theorem proves these two triangles are similar? △FHK is similar to △GHJ by the SSS Similarity Theorem. △FHK is similar to △GHJ by the SSA Similarity Theorem. △FHK is similar to △GHJ by the SAS Similarity Theorem. △FHK is not similar to △GHJ.
Answers
Answer:
ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.
Step-by-step explanation:
Picture for the given question is missing; find the picture attached.
If [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H
Then ΔFHK ~ ΔGHJ
[tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex]
[tex]\frac{(12+10)}{10}=\frac{(15+18)}{15}[/tex]
[tex]\frac{22}{10}=\frac{33}{15}[/tex]
[tex]\frac{11}{5}=\frac{11}{5}[/tex]
Since, [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H [By reflexive property]
Therefore, ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.
Option (3) will be the answer.
Answer:
ΔFHK and ΔGHJ are similar triangles by the SAS similarity theorem.
Step-by-step explanation:
Verified correct with test results.
simplify : 3p+2p+8-3=15
Answers
Answer:
3p+2p+8-3=15
5p+5=15
5p=15-5
5p=10
p=10/5
p=2
have a great dayy.
Answer:
p = 2
Step-by-step explanation:
One is given the following equation:
3p + 2p + 8 - 3 = 15
Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.
3p + 2p + 8 - 3 = 15
5p + 8 - 3 = 15
5p + 5 = 15
Inverse operations,
5p + 5 = 15
5p = 10
p = 2
Determine if the event described is independent or dependent. You pick a marble at random from a group of marbles, don't replace the marble, and pick a second marble.
Answers
Answer:
dependent
Step-by-step explanation:
This is a dependent event. There is one less marble in the bag to choose from
Say there was 1 red marble and 4 blue marble. You drew the red marble on the first pick, now you cannot get a red marble on your second pick.
If you drew a blue marble on the first pick you could get a red marble on the second pick.
So what happens on the first pick affects the second pick
Express 0.00013745 to 3 significant figures.
Answers
Answer:
0.000137
To 1 significant figure: 0.0001
To 2 significant figures: 0.00014
To 3 significant figures: 0.000137
To 4 significant figures: 0.0001375
To 5 significant figures: 0.00013745
Hope it helps ❄️
Please help!
What is the slope of the line? Please explain if possible!
Any silly comments will be reported!!
Answers
Answer:
-2/3
Step-by-step explanation:
Let us take the coordinates of any two points on the line, i.e.,
1. (0,3)
2. (3,1).
Slope
= Δy/Δx
= (y2 - y1)/(x2 - x1)
= (1 - 3)/(3 - 0)
= -2/3
So, the slope is -2/3.
Help me please
Thank you
Answers
Answer: p = 1/5
Step-by-step explanation:
-5(p + 3/5) = -4
Now we open the brackets and -5 mutiplies with both terms
-5p - 3 = -4
-5p = -4+3
-5p = -1
p = -1/-5
p = 1/5
please click thanks and mark brainliest if you like :)
Find the area of the following rectilinear figure.
Answers
Answer:
Area : 14+10+40=64 square unit
Step-by-step explanation:
the area of the top rectangle with sides 2 and 7
A=2*7=14 square unit
the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5
Area=5*2=10 square unit
the bottom rectangle : sides 10 and 4
Area=10*4=40
add the areas : 14+10+40=64 square unit
I need help on this can someone help
Answers
Answer:
1:3
Step-by-step explanation:
[tex]3:9\\= 1: 3[/tex]
Answer:
1 : 3
Step-by-step explanation:
pears : apples
3 9
Divide each side by 3
3/3 9/3
1 : 3
a hotel manager wants miriam to tile their lobby using the dame design she created for Mr.Rivera.The lobby measures 45 feet by 45 feet. he wants the outer edge to be the same color as the center tile. will this occur ? justify your answer
Answers
Answer:
Yes it will occur
Step-by-step explanation:
The lobby measures 45 feet by 45 feet
Area of the lobby = 45 * 45
=2025 ft^2
So, the lobby has 2025 tiles
subtract 1 black tile in the center
2025 tiles - 1 black tile =2024 tiles
The number of blue tiles and black tiles is 2024 tiles
He wants the outer edge to be the same color as the center tile so, divide by 2
2024/2 = 1012 tiles
The number of tiles in the outer edge is 1012 tiles and the number of tiles in the center is 1012 tiles
Solve for x. Round to the nearest tenth, if necessary
Answers
Answer:
x = 2.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2/ tan 26
x=2.46036
Rounding to the nearest tenth
x = 2.5
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign? A sign labeled 2x-1 on one side. A: 4x^2 - 1 B:4x^2 + 1 C: 4x^2 + 4x - 1 D: 4x^2 - 4x + 1
Answers
Answer:
D: 4x² - 4x + 1
Step-by-step explanation:
(2x - 1) ( 2x - 1)
4x² - 2x - 2x + 1
4x² - 4x + 1
The correct answer is d) 4x2 - 4x + 1.
The area of a square is found by squaring the side length:
(2x-1)? = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - = 1(-1) = 4 x 2 - 2x - 2x + 1 = 4x2-4x+1
One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final exam. No other student in the class "achieved" such a dramatic turnaround. If the instructor decides not to include this student’s scores when constructing a new regression model, will the slope of the new line increase or decrease?
Answers
Answer:
Increase
Step-by-step explanation:
Since your not including the bad mark, it'd increase.
given the functions f(x)=3/2 and g(x)=7/3x-8/3, find(f*g)(x)
Answers
Answer:
pagal man
Step-by-step explanation:
tumko Answer Nahi Aata Padhte Likhte Nahi hoo kya