The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.
ε − δ definition of a limit?Epsilon-Delta defines a limit at a finite point that has a finite value.
To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.
[tex]\lim_{x \to 2} x+1=2+1=3[/tex]
The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.
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9x10^4 in standard form
Answer:
90,000
Step-by-step explanation:
So a scientific notation is written as [tex]N*10^k[/tex]
So in this scientific notation its just equivealent to saying
[tex]9*10^4\\9*(10*10*10*10)\\9*10,000\\90,000[/tex]
Find the measure of the exterior ∠1.
A. 60°
B. 80°
C. 150°
D. 90°
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Measure of an exterior Angle of a triangle is sum of two opposite interior angles of the same triangle ~
that is :
[tex]\qquad \tt \dashrightarrow \: \angle1 = 60 + 30[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle1 = 90 \degree[/tex]
So, D is the correct choice ~
Step-by-step explanation:
As the sum of all angles of triangle is 180°
and we have been given 2 angles i.e 30° and 60°
So, Third angle will be 90°
Angle 1 = 180°-90° (as the value of angle made by a straight line is 180°)
Angle 1 = 90°
Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.
Find BC in angle ABC
Round to the nearest tenth.
BC=?
Answer:
BC ≈ 18.7
Step-by-step explanation:
using the sine rule in Δ ABC
[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )
[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )
BC × sin80° = 20 × sin67° ( divide both sides by sin80° )
BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )
Which of the given set of angles CANNOT form a right triangle?
a
30º, 90º, and 60º
b
90º, 45º, and 45º
c
22º, 22º, and 136º
d
35º, 55º, and 90º
Answer:
The answer for your question is C. 22°, 22°, and 136°.
Explanation:
A right triangle will always have one angle that is 90°.
All of the other options have a 90° angle, so your answer is C.
Hope this helps!
What is the value of ?
Enter your answer in the box.
___cm
Answer:
5
Step-by-step explanation:
Gio is solving the quadratic equation by completing the square. 5x2 15x – 4 = 0 what should gio do first? isolate the constant. factor 5 out of the variable terms. isolate the variable x. add 9 to both sides of the equation.
The complete square of the given polynomial is
[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]
What is the completing the square method?For solving the quadratic equation by completing the square, we first need to ensure that the constant of the square variable is unit.
Following are the steps involved
[tex]5x^2+15x-4=0[/tex]
divide both side by 5
[tex]x^2+3x-\frac{4}{3}=0[/tex]
add 9 on both sides of the equations
[tex]x^2+3x-\frac{4}{3}-9/4+ 9/4=0[/tex]
[tex]x^2+3x+ 9/4=\frac{4}{3}+9/4\\(x+3/2)^2=43/12[/tex]
Therefore we the complete square of the given polynomial is
[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]
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Answer:
A
Step-by-step explanation:
What is the quotient of 4.56 × 109 by 6.23 × 1011?
The quotient is
times 10 to the
power.
Answer:
7.319 x 10^-3
Step-by-step explanation:
4.56 * 10^9 / 6.23 * 10^11 = .7319 x 10^-2
Answer:
The quotient is 7.3194 times 10 to the -3 power.
Step-by-step explanation:
Got the question right. EDGE 2022.
Please answer this question for points.
16 x 7 x 15 + 11 + 17
Try Ur best and take Ur time.
Answer:
1,708?
Step-by-step explanation:
pretty sure this is the answer
(09.06 MC) A mechanic gives a survey to all of his customers asking them to rate the quality of the service they received. He then keeps track of how many customers return to the shop for additional services during the next six months. Last year, the results showed that of the customers who reported high quality service, 20% returned for additional services. What conclusion can be drawn from this study? (6 points)
Answer: Most customers who rate their service as high quality return for additional services.
Step-by-step explanation: just took the test :)
Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6 hours. If they work together, how long will they take to hook up the plumbing in one house? 5 hours 2.4 hours 2.1 hours
Answer:
5 Hours
Step-by-step explanation:
Bob needs atleast 4 hours to do his work
Ted needs atleast 6 hours
Bob is going to help ted speed up a little
2.4 and 2.1 are to fast because bib needs 4 hours and ted needs 6 so the meet in the middle and get 5.
Hope this helps!
Help please i don't want to get held back
Let total data be x GB
then
4% of x = 1.2GB
4% × x = 1.2
0.04 x = 1.2
x = 1.2 / 0.04
x = 120 ÷ 4 = 30 GB
The act of collecting data that are representative of the population data is called _________.
Answer: Random Sampling
Step-by-step explanation:
The act of collecting data that are representative of the population data is called random sampling.
You are a payroll supervisor. You need to summarize work hours for an employee. The number of hours the
employee worked each week for seven consecutive weeks were 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.
What, approximately, is the mean number of hours this employee worked each week for the seven weeks?
O 37. 63
O 37. 92
O 38. 14
O 38. 25
39. 5
Answer:C. 38.14
Step-by-step explanation:
The required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.
Given that,
The number of hours the employee worked each week for seven consecutive weeks was 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.
The mean of the values is the ratio of the total sum of values to the number of values.
here,
According to the question,
Mean = Sum of the working hours/number of weeks
Mean = 38 + 37. 5 + 38. 25 + 35. 75 + 39. 5 + 39. 5 + 38. 5 / 7
Mean = 267/7
Mean = 38.14
Thus, the required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.
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please help! its do by 3:55pm! im only at 20! johns test averages 69,86,100,and 105 what is his average?
Answer:
90
Step-by-step explanation:
In order to find the average of something, you add all the numbers and then divide it by how many numbers there were.
69+68+100+105=360
360 ÷ 4 = 90
John's average is 90.
Brainliest please?
Experimental & theoretical probability
Answer: I don't see the paper very well.
Step-by-step explanation:
What is the distance between A(7, 4) and B(2, -8)?
Answer:
13 units
Step-by-step explanation:
Distance formula:
d = [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
In this problem,
d = [tex]\sqrt{(7 - 2)^2 + (4 - -8)^2}[/tex]
d = [tex]\sqrt{(5)^2 + (12)^2}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13
What is the answer ? Please help
Answer:
sqrt2/sqrt3; 1/sqrt3; sqrt5/2
Step-by-step explanation:
to solve this equation you can basically put paranthesis squared around all of the options
(sqrt2/sqrt3)^2 becomes simply 2/3
(1/sqrt3)^2 becomes simply 1/3
(pi/3)^2 becomes a decimal that is not rational
[(sqrt5)/2]^2 becomes simply 5/4
the first, second, anad last are all rational
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
315°
Step-by-step explanation:
∠HCG = 180° - 60° - 75° = 45°∠DCH = 360° - 180° - 45° = 135°Finding m∡DHE
∠DCH + ∠HCG + ∠GCF + ∠ECF135° + 45° + 75° + 60°180° + 135°315°Answer:
m∡DHE = 315°
Step-by-step explanation:
Angles around a point always add up to 360°.
⇒ m∡DHE = 360° - m∡ED
= 360° - 45°
= 315°
What is the difference? startfraction x over x squared 3 x 2 endfraction minus startfraction 1 over (x 2) (x 1) endfraction startfraction x minus 1 over 6 x 4 endfraction startfraction negative 1 over 4 x 2 endfraction startfraction 1 over x 2 endfraction startfraction x minus 1 over x squared 3 x 2 endfraction
Answer:
choose D
Step-by-step explanation:
x/(x²+3x+2) - 1/[(x+2)(x+1)]
x² + 3x + 2 = x² + 2x + x + 2
= x(x + 2) + (x + 2)
= (x + 2)(x + 1)
= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]
= (x-1)/[(x+2)(x+1)]
= (x-1)/(x²+3x+2)
What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
Answer:
15cm²
Step-by-step explanation:
Formula of a triangle:
½ × base × height
= ½ × 5 × 6
= 15 cm²
Hope this helps =)
Answer:
15 cm squared :)
Step-by-step explanation:
Area of triangle: b(h)/2
Now lets solve!!
5(6)/2
30/2
15
Have an amazing day!!
Plerase rate and mark brainliest!!
please helpppppp meeeee!
Answer:
It's 1 pint
Step-by-step explanation:
If you look up how many cups are in a pint it says 2 and the liquid is filled up to the line of 2 cups
Jaden is studying abroad for a semester.
He can choose the first semester or second
semester, then choose France, Spain,
Germany, Italy, or Japan.
Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the semester, he has 2 possible options, hence [tex]n_1 = 2[/tex].For the country, he has 5 possible options, hence [tex]n_2 = 5[/tex].The total number of options is given by:
N = 2 x 5 = 10.
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PLEASE HELP ILL GIVE BRAINLIEST!!!
How can we determine the difference between a pyramid and a prism? Select all that apply.
The number of vertices is always equal to the number of sides for a prism but not a pyramid.
There is only one base for a pyramid.
The faces of prisms are triangles.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
The faces of pyramids are rectangles.
Answer:
B. There is only one base for a pyramid.
D. The faces of pyramids are traingles.
E. The faces of prisms are rectangles.
Step-by-step explanation:
The difference between a pyramid and a prism is:
There is only one base for a pyramid.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The number of vertices is always equal to the number of sides for a prism but not a pyramid.
The faces of pyramids are triangles while the faces of prisms are rectangles.
A prism has two parallel bases and its other faces are rectangles.
A pyramid has a single base and its faces are triangles.
A prism also has the same number of vertices as its number of sides, but this is not true for a pyramid.
Thus,
The difference between a pyramid and a prism is:
There is only one base for a pyramid.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
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suppose there are 30 bacteria in a bottle .the number of bacteria doubles every hour.
how many will there be after 7 hours?
is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
Which pairs of expressions below are equivalent? (Select all that apply)
5x + 3x − 2y and −2y + 8x
6x − 8x and 3(2x − 4y)
4x − 5y and 5y − 4x
5(2x − 3y) and 10x − 3y
x + y + x + y and 2( x + y )
Answer:
5x+3x-2y and -2y+8x
X+y+X+y and 2(X+y)
An investment of $1,500 is earning 7% simple interest each year how much will the investment be worth after one year
Answer:
1500 * 0.07 = 105
105 + 1500 = 1605
Step-by-step explanation:
Wich equation shows ax - w = 3 solved for w
Answer:
Answer depends on the value you put
Step-by-step explanation:
let's say a= 3 and x =4 then,
or 3*4 -w = 3
or 12 - w = 3
or -w = 3- 12
or -w = -9
or w = 9
just put any value in a and x and you will get the answer
Brianna is graphing the function f(x) = x2 6x 5. what x-intercepts should brianna use to graph f(x)? –5 and –1 –5 and 1 –1 and 5 1 and 5
The value of the x of the equation x² + 2x = 24 is negative 5 and negative 1, then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression equation is given below.
f(x) = x² + 6x + 5
On factorization, we have
x² + 6x + 5 = 0
x² + 5x + x + 5 = 0
(x + 5)(x + 1) =0
x = -1, -5
The value of x is –5 and –1.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
A) -5 and -1
Step-by-step explanation:
Got it right on edge!