Answer:
Option A
Step-by-step explanation:
From the graph attached,
Vertical asymptote of the given function → x = -4
Horizontal asymptote → y = 0
Oblique asymptote → None
Therefore, graph that has been given in the picture is,
F(x) = [tex]\frac{1}{(x+4)^2}[/tex]
Option (A) will be the answer.
The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
Given :
Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 mTo find :
The Length and the BreadthSolution :
As it is given that the length of rectangle is 6 m more than the breadth.
Thus, let us consider the Breadth as ''x''.
Then the Length will be ''x+6''.
We know that,
Perimeter of rectangle = 2(l + b)
According to Question,
➠Perimeter of rectangle = 2(x+6+x)
➠60 = 2(x+6+x)
➠60 = 2(x+x+6)
➠60 = 2(2x + 6)
➠60 = 4x + 12
➠60 - 12 = 4x
➠48 = 4x
➠48/4 = x
➠12 = x
______________________
∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.
And the Length of the rectangle will be,
↠x + 6
↠12 + 6
↠18 m
Hence,
Length = 18 mBreadth = 12 m▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the final cost?
Answer:
$38.66
Step-by-step explanation:
I need help on this question
Answer: Capitalism
Step-by-step explanation:
hope it helps
3x+2=2x+7 what is x lol why I need 20 characters anyway help
Answer:
5
Step-by-step explanation:
3x-2x=7-2
x=5
what are you finding when you are asked what is 60% of 175? the part, the whole or the precent
Answer:
105 is the part.
Step-by-step explanation:
175 is the whole
60% is the percent
x is the part
175 * 0.60 = 105
Had three thfk DJ back finding
What is the domain of the function y=2 /X-6? EXCO o osx
Answer:
last option
[tex]6 \leqslant x < \infty [/tex]
H=156-8t-16t^2 in seconds
Answer:If you use quadratic formula the answer is (rounded) 2.88s
Step-by-step explanation:
Answer:
2.882491 seconds
Step-by-step explanation:
H=156-8t-16t²
-16t²-8t+156=0
16t²+8t-156=0
4t²+2t-39=0
t=2.882491 seconds ................
A certain CD has a mass of 10 grams. How many of these CDs would you need to equal a total mass of 2 kg?
write the number of CDs needed in the box.
Answer:
200 CDs
Step-by-step explanation:
1000 g = 1 kg
2 kg = 2000 g
2000 / 10 = 200 CDs :D
Round each addend to the nearest whole number and estimate the sum.
19.43 + 11.5 + 3.08
35
36
33
34
Step-by-step explanation:
a fraction of it and the regular answer it is 33.
Answer:
34
Step-by-step explanation:
19.43 will round to 19
11.5 will round to 12 and
3.08 will round to 3
I hope this helps
A tablet that regularly sells for $330 was on sale for 15% off. If Jeremiah paid $302.94 total including tax, what is the sales tax
Answer:
8% sales tax
Step-by-step explanation:
$330 x .15 = $49.50
$330 - $49.50 = $280.50
$302.94 - $280.50 = $22.44
$22.44/$280.50 = .08 x 100 x 8%
What is the value of n in this equation?
(2.4 × 10³) × (3 × 10^n) = 7.2 × 10⁹
Answer:
n = 6
Step-by-step explanation:
[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."
The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
y=-|x+3| domain and range
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
I give brainliest
Which of the following sets of ordered pairs represent functions? Select all.
A. (0,3), (1,4), (2,5), (1,6), (0,7)
B.(-2,0), (0.1), (2.2), (4,3), (6,4)
C. (2,4), (0,2), (2,0). (0,-2), (2,-4)
D. (3,-2), (4, -3), (5,-4), (6,-5)
E. (3,-2).(-2,3), (4, -1) (-1, 4)
Determine which of the following sets of side lengths represents the side lengths of a night triangle. Select all that
apply
11, 12
2. 13. 15
1,1,2
7. 24. 25
3.4.5
2.3.3
Answer:
7,24,25
3,4,5
Step-by-step explanation:
1. Let assume the three sides of a right triangle are A,B and C, and C is the longest side
2. For the definition of a right triangle, [tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]
3. For all the sets listed, only these two sets meet the definition.
Answer:
3.4.5, 2.3.3, and7. 24. 25
Step-by-step explanation:
simplify 4(x + 2y)-(3x-8y)
Answer: x + 16y
Step-by-step explanation:
multiply 4 to x+ 2y
4x + 8y - 3x + 8y (open the bracket)
x + 16y
Answer:
x+16y
Step-by-step explanation:
4(x+2y)-(3x-8y)
we open the brackets and the sign of the second bracket changes
4x+8y-3x+8y
we group x's and y's
x+16y
Label the following graph as vertical or horizontal:
x = –2
A.
Circle
B.
Horizontal
C.
Vertical
D.
Curved
Helpppppppppppppp asappppp
Answer:
[tex]B.\ 3[/tex]
Step-by-step explanation:
Given
[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]
Required
Power of term with coefficient of 1
First, we need to identify the variable in the given polynomial
The variable is x
Each term has the following format:
[tex]mx^n[/tex] where [tex]n \ge 0[/tex] and m is the coefficient
In this case, we are to look for n where m = 1
Looking at each term of the polynomial, we have the following match:
[tex]mx^n = x^3[/tex]
Substitute 1 for m
[tex]1 * x^n = x^3[/tex]
[tex]x^n = x^3[/tex]
By comparison:
[tex]n = 3[/tex]
Hence, the solution to this question is (B)
X + 7/8 = 23/8
They are fractions
Please help
Answer:
X=2
Step-by-step explanation:
Please mark brainliest.
Answer:
x=2
subtract 7/8 from both of the sides
x= 23/8-7/8
Simplify 23/8 - 7/8 to 2
x=2
An insurance company receives nine claims per week, on average. Use this information to answer the next two questions. What is the probability that exactly 7 claims will be received in one week
Answer:
P(X = 7) = 0.11712
Step-by-step explanation:
From the information given:
Average no. of claims received per week λ = 9
The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:
[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]
[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]
[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]
[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]
P(X = 7) = 0.11712
The ground temperature at an airport is 11 °C. The temperature decreases by 6.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
-21°C
Step-by-step explanation:
Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.
(sorry if this is confusing but I hope this helped)
a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?
Answer:
12 yards
Step-by-step explanation:
side b = √(diagonal^2 - side a^2)
Which expression is represented by the set of algebra tiles below?
O x+6
O x-6
O 6-X
O 6x- 1
Answer:
The answer is B
Step-by-step explanation:
Lol I just had this same question on edge 2021 (◕‿◕✿)
Answer:
It Is B, x-6.
Step-by-step explanation:
I Just Did The Unit Test Review (ノ◕ヮ◕)ノ*.✧
A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If he does not deposit or withdraw any money, how much will he have altogether after one year?
Answer:
$406
Step-by-step explanation:
The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.
It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.
His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=
$406
.
Find the HCF and LCM of 28 and 40
Step-by-step explanation:
The HCF of 28 and 40 is 4, and the LCM is 280.
Step-by-step explanation:
this is the answer..........
how do find M and N
Answer:
option D
Step-by-step explanation:
In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°
Hypotenuse = m ; Perpendicular = n ; Base = 4
Side opposite to 60° = Base
Side adjacent to 60° = Perpendicular
Side opposite to 30° = Perpendicular
Side adjacent to 30° = Base
So,
[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]
[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]
[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]
Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]
Also,
[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]
[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]
[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]
Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]
The table shows the scores for four students on a math test. Who earned the highest grade?
Student. Score
Jim 17/20
Sarah. 84%
Ben. 0.86
Mary. 22:25
A.Jim
B. Sarah
C. Ben
D. Mary. Help please
6-√8 divide √2-1
this is rationalising surd question I did it and my answer is not right so could someone do this to me and show your working out
thanks
Answer:
4[tex]\sqrt{2}[/tex] +2
Step-by-step explanation:
[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]
=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]
=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - 2
=4[tex]\sqrt{2}[/tex] +2
for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,
[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]
= ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]
=2 ×[tex]\sqrt{2}[/tex]
Notes ...
The supporters at a wrestling tournament either supported the home team or the visiting
teams. 45% of the supporters cheered for the visiting tearns and 55% of the supporters
cheered for the home team. If the total number of people attending the tournament was
1200, how many people were supporters of the visiting teams at the wrestling
tournament?
X=45
55-1200
Practic...
Margaret is completing a lifeguard course and is completing the test at the end of the
course. There are 75 total questions that she needs to complete and she is 36% complete.
How many more cuestions does she need to complete
Q
Answer:
Step-by-step explanation:
For your first question,
Total percentage of people cheering for visiting team = 45%
Total percentage of people cheering for home team = 55%
Total number of people cheering = 1200
Therefore, the number of people cheering for visiting team = 45% of 1200
= [tex]\frac{45}{100}[/tex] × 1200
= 45 × 12
= 540 people
For your second question,
Total number of questions = 75
Total percentage of the number of questions he completed = 36%
Percentage of the amount of questions left = 100 - 36 = 64%
Therefore, the number of questions left to complete = 64% of 75
= [tex]\frac{64}{100}[/tex] × 75
= [tex]\frac{64}{20}[/tex] × 15
= [tex]\frac{64}{4}[/tex] × 3
= 16 × 3
= 48 questions are left