Given:
The limit problem is:
[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]
To find:
The limit of the function by using direct substitution.
Solution:
We have,
[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]
Applying limit, we get
[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]
Therefore, the correct option is D.
In the basket and 12 of them are oranges what percentage of the pieces of fruit in the basket or orange show your work in the box and circle your answer.
Answer:
60%
Step-by-step explanation:
There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket are orange show your work in the box and circle your answer
Total oranges in the basket = 20
Number of oranges = 12
what percentage of the pieces of fruit in the basket are orange
= Number of oranges / Total pieces of fruits × 100
= 12/20 × 100
= 0.6 × 100
= 60%
Percentage of the pieces of fruit in the basket that are oranges = 60%
pls, what is surface area?
Answer:24
Step-by-step explanation:
Answer:
24 mm²Step-by-step explanation:
The cube has 6 equal faces.
Each face has area:
A = 2*2 = 4 mm²Total surface area:
S = 6*4 = 24 mm²-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation:
what is the missing side length in the triangle below
Please give me step-by-step explanation please :’))
Answer:
45
Step-by-step explanation:
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
It starts at 25 and then it stops at 38.
I hope this helps!
Answer:
hi
Step-by-step explanation:
What is the lateral surface area of this rectangular prism in square centimeters
Answer:
give me sec waitttttttt give me sec is their any answer choice
A circular flower bed is 17 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
The area of the sidewalk is __ m2.
Answer: 56.55 m^2
Step-by-step explanation:
Which best describes the behavior of the function
f(x)=2/3x-2?
A) It is a constant.
B) It is increasing.
C) It is decreasing.
D) It is both increasing and decreasing.
Answer:
Step-by-step explanation:
B) it is increasing, the slope of 2/3 tells you it's going up
Using concepts of linear functions, it is found that the correct option is given by:
B) It is increasing.
--------------------
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, being the value that describes its behavior.
If m = 0, the function is constant.If m > 0, the function is increasing.If m < 0, the function is decreasing.--------------------
In this question, the equation of the line is:
[tex]f(x) = \frac{2}{3}x - 2[/tex]
The slope is [tex]m = \frac{2}{3}[/tex], which is positive, thus the function is increasing, and the correct option is B.
A similar problem is given at https://brainly.com/question/10026522
As a small step to save the environment, Luna came up with an idea for her sweet shop. In exchange for five eclaire boxes, that she gets, she decided to give an eclaire box for free. A group of kids from the locality ate seventy-seven eclaire boxes that week and they collected the boxes to give to Luna and get back eclaires boxes.
How many eclaires boxes do you think they can buy from Luna using the seventy-seven claire boxes?
Answer: 15
Step-by-step explanation:
From the question, we can infer from the information given that:
5 eclaires boxes = 1 free eclaires box.
Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:
= 77 / 5
= 15.4
= 15
The group of kids will receive 15 free boxes
Z^3
Z^3
Slove this expression plz help me
Answer:
z^6
Step-by-step explanation:
I'm assuming you're meant to multiply here.
z^3(z^3) = z^6
Add exponents when multiplying.
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
Given ⊙N, what is mABC ?
A. 111°
B. 138°
C. 222°
D. 276
Answer:
111°
Step-by-step explanation:
angles around a point = 360
360-138=222
angles at the centre is double the circumference
222÷2
= 111
A patrol officer used radar to note the speeds of cars, in miles per hour, as
they went by on the highway
65, 66, 63, 56, 56 50, 85, 61, 73, 81
How fast will the next car need to be going to change the median speed of
the cars to 63 miles per hour?
A. 80 miles per hour
B. 75 miles per hour
C 65 miles per hour
D 61 miles per hour
Answer: 61 miles per hour.
Step-by-step explanation:
The median is the number that's placed in the middle when the given numbers are either arranged in the ascending it the descending order.
In this case we are already given the speed of the cars as 65, 66, 63, 56, 56 50, 85, 61, 73, 81. We will therefore arrange them in ascending order and this will be:
50, 56, 56, 61, 63, 65, 66, 73, 81, 85.
To change the median speed of
the cars to 63 miles per hour, the 6th number when arranged in ascending order has to be 63. Therefore, in thus case, we will need a speed lessee than 63 miles pee hour. Therefore, option D is the answer.
When we re-arrange with the new speed included. This will be:
50, 56, 56, 61, 63, 63, 65, 66, 73, 81, 85.
Therefore, we can see that the median is 63.
[Help asap, will mark brainliest] Find the distance between the following pairs of points on the coordinate plane. Round to the nearest tenth if necessary.
The distance between point A and point D = units
Answer:
8.06 units = AD
(just write sq rt 65 = 8.062 ) then write or try sq rt of 65 to 3 sf = nearest tenth 8.06 tenth units rounded.
Step-by-step explanation:
AE = 7
ED = 4
We use Pythagoras Theorem as it is a right angle as AE^2 + ED^2 = AD^2
7^2 + 4^2 = AD^2
49 + 16 = 65 sq rt
sq rt 65 = AD^2 = 8.062^2
AD = 8.062 units
The bank contains pennies, nickels, dimes, and quarters. There are 4 more nickels than pennies. How much money does the bank contain
Of the 50 coins 10% are pennies and 42% are dimes
The amount of money in the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.
First, let's find the number of pennies in the bank.
Since 10% of the coins are pennies, and there is 50 coins total, the number of pennies is :
10/100 × 50 = 5
Now let's find the number of dimes. Since 42% of the coins are dimes, and there is 50 coins total, the number of dimes is :
42/100 × 50 = 21
Since there are 4 more nickels than pennies, the number of nickels is :
5 + 4 = 9
Finally, the number of quarters is: 50 - 5 - 9 - 21 = 15
Thus, the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
#SPJ2
A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?
Answer:
55.5 km
Step-by-step explanation:
speed=distance/time
55.5= 333/6
Answer:
55.5 km per hour
Step-by-step explanation:
The simple formula is D_S-T
D is at the top for Distance
S is down to the left for speed
And T to the right as Time
Its simple so just take
Distance: 333km
Time: 6 hrs
333÷5=55.5/1
Which expression represents the determinant of A=[-6 -7 -4 -2
]
Answer:
C) det(A) = (–6)(–2) – (–4)(–7)
Step-by-step explanation:
The determinant is ad-bc so when you plug in the numbers you get this answer. Also I got it right on Edge 2021 :)
The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for the perimeter of the rectangle. b) Find the length of the rectangle if the perimeter is 36 cm
Answer:
Perimeter of the rectangle = 8 x +4
Length of the rectangle = 12 units.
Step-by-step explanation:
Let the width of the rectangle as 'x' units.
So, length of the rectangle is 2 more than 3 x.
We can set up expression for length as 3 x+2.
Now, perimeter is sum of all side lengths of the rectangle.
So, perimeter = x+x+3 x+2 +3 x+2
Combine like terms,
Perimeter = 8 x+4
Now, it is given perimeter is 36cm
So,
8 x+4=36
Subtract both sides 4
8 x=32
Divide both sides by 8
x=4
So, width of the rectangle =4
Length =3(4) +2=14
How long (in years) would $900 have to be invested at 11.3%, compounded continuously, to earn $500 interest? (Round your answer to the nearest whole number.)
Answer:
6.13 years
Step-by-step explanation:
The computation of the number of years is shown below:
As we know that
Amount = Principal ×e^{rate,time period}
($900 + $500) = $700 × e^{11.3%, time period}
$1,400 = $700 × e^{11.3%, time period}
ln(2) = 0.113× time period
0.693147181 ÷ 11.3 = time period
= 6.13 years
Factor 6d^2−21d...The factored polynomial is _.
Answer:
d = 7/2Step-by-step explanation:
6d² - 21d = 0
d (6d - 21) = 0
6d - 21 = 0/d
6d - 21 = 0
6d = 21
d = 21÷6
d = 7÷2
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Answer:
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What two things make a graph proportional?
A diver went 24 feet below the surface of the ocean, and then 47 feet down. What is the diver's new position relative to the surface?
Write an expression to represent the problem, and solve.
Answer:
71 feet below the water.
Step-by-step explanation:
x=the divers position relative to the surface
when x=0, the diver is at the surface.
when x=-24, the diver is 24 feet below the surface, therefore -24-47=-71.
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. . 4,2,1,...
Answer: Geometric sequence
Step-by-step explanation:
The common ratio will be:
= 2nd term / 1st term
= 2/4
= 1/2
Also, Using thw 3rd and 2nd term gives:
= 1/2
Common difference will be:
= 2nd term - 1st term
= 2 - 4
= -2
Using thw 3rd and 2nd term gives:
= 1 - 2
= -1
From the above, we can see that it's a geometric progression as the common ratio is thesame.
Determine the coordinates of the y-intercept of the function shown in the graph.
A)(0, -1)
B)(2, 0)
C)(0, 2)
D)(-1, 0)
Given y = 4x- 5. Express x in terms of y.
Answer:
y+5/4 = x
Step-by-step explanation:
I think that this will get really messy if you integrate with respect to y.
Here is what I suggest you do.
=2+82−5y=2x+8x2−5
Evaluated at =1y=1 and =5y=5
1=2+82−5=21=2x+8x2−5x=2
5=2+82−5=1
5=2x+8x2−5x=1
∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx
FIND THE ANGLE OF DEPRESSION. PLS HELP. I WILL MARK YOU A BRAINLEST
Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Question: Jlm has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles.
a. Write a pair of linear equations to represent the information Be sure to state what the variables represent. b. Explain the substitution method of solving this pair of equations Solve the equations to find the number of red marbles. Show your work
Answer:
24 red and 53 blueStep-by-step explanation:
Red marbles = rBlue marbles = bRequired equations:
r + b = 77b = 2r + 5Substitute b into first equation:
r + 2r + 5 = 773r = 72r = 24Find b:
b = 2*24 + 5 = 53PLS HELP REALLY NEED THIS
Can someone help me please
Answer:
i only know cos
cos0 = 8/9
Step-by-step explanation:
