Answer:
A) [tex]f^{-1} (x)=\frac{5x+3}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x-3}{5}[/tex]
[tex]y=\frac{2x-3}{5}[/tex]
[tex]x=\frac{2y-3}{5}[/tex]
[tex]\frac{5x+3}{2} =y[/tex]
[tex]y=\frac{5x+3}{2}[/tex]
So option (A)
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hope it helps...
have a great day!!
Hailey saved up $357.45 in her Piggy Bank. She decided that she wanted to use $97.99 to buy Roller skates and $50.00 to buy the Glow In the Dark flashing wheels. How much money will Hailey have leftover?
Answer:
209.46
Step-by-step explanation:
subtract $357.45, $97.99, and $50 and
you'll get $209.46
Determine the missing length. Show your work!
Answer:
15
Step-by-step explanation:
Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
C = the square root of A squared + B squared.
plug in the numbers
C = the square root of 9 squared + 12 squared = 15
Answer:
15
Step-by-step explanation:
[tex] {9}^{2} + {12}^{2} = c ^{2} \\ 81 + 144 = {c}^{2} \\ 225 = {c}^{2} \\ \sqrt{225} = c \\ \sqrt{225} = 15[/tex]
A gas container in the shape of a cone has a height of 12 inches and a maximum diameter of 8 inches. When the container is filled to three-quarters of its height, what is the volume of the gas in the container, to the nearest tenth of a cubic inch.
Answer:
150.9 cubic inches
Step-by-step explanation:
volume of he gas = volume of a cone x 3/4
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
h = height
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
8/2 = 4 inches
1/3 (22/7 x 4^2 x 12) = 201.142857 in^3
volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
In a piggy bank, the number of nickles is 8 more than half the number of quarters. The value of the coins is $21.85. Determine the number of nickels.
Answer:
The number of nickels is 47
Step-by-step explanation:
1 nickel is 5 cents while 1 quarter is 25 cents
let the number of nickels be n and the number of quarters be q
From the question;
the number of nickels n is 8 more than half the number of quarters (q/2)
n = q/2 + 8
(n-8) = q/2
q = 2(n-8) = 2n - 16 ••••(i)
let us convert $21.85 to cents
there are 100 cents in $1
Thus; $21.85 will be 21.85 * 100 = 2185 cents
1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents
1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents
The addition of both will give 2185 cents
Thus;
5n + 25q = 2185 ••••••(ii)
Substitute equation i into ii
5n + 25(2n-16) = 2185
5n + 50n - 400 = 2185
55n = 2185 + 400
55n = 2,585
n = 2,585/55
n = 47 nickels
A circle has an area of in2. If it is dilated by a scale factor of 5/4, what is the area after dilation
The question is incomplete, let's take an hypothetical value for the Area of the circle ;
Let the are aid the circle = x in²
Answer:
Kindly check explanation
Step-by-step explanation:
The scale factor = 5/4
The initial area of square = x in²
The area of the circle after dilation will be :
Scale factor * initial area of circle
5/4 * x in²
Area after dilation = 5/4(x) in²
Just substitute the original value of the square for X in the solution to obtain the exact answer.
What is the inverse of the function
f(x)
19
13?
OA-110) =
319
OB. 5-1,5) =
19
T
319
Oc. 9-17)
OD. 1-16x) = leven
Answer:
A is correct ..............
Solve for u. Show all work, be sure to use the equation editor.
Help will mark brainliest
Answer:
u = 2√3 ≈ 3.46410162
Step-by-step explanation:
Because this is a right triangle, you can use the trigonometric formulas:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
Here, we have the measure of an angle, 60°. Side u is opposite to it and the hypotenuse, 4, is given. We can use these numbers to work with:
sine = opposite side/hypotenuse
sin(60) = u/4
sin(60)/1 = u/4
Cross multiply:
u = 4 (sin(60))
Input into calculator:
u = 2√3 ≈ 3.46410162
2. A quadratic function has a vertex at (3,-10) and passes through the point (0,8).
Which of the following equations best represents the function?
F.y = 2(x + 3)^2 + 8
G.y = 2(x + 3)^2 - 10
H. y = (x - 3)^2 - 10
J.y = 2(x - 3)^2 - 10
Given:
Vertex of a quadratic function is at (3,-10).
The quadratic function passes through the point (0,8).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex and a is a constant.
Vertex of a quadratic function is at (3,-10). So, [tex]h=3,k=-10[/tex].
[tex]y=a(x-3)^2+(-10)[/tex]
[tex]y=a(x-3)^2-10[/tex] ...(ii)
The quadratic function passes through the point (0,8).
Putting [tex]x=0,y=8[/tex] in (ii), we get
[tex]8=a(0-3)^2-10[/tex]
[tex]8+10=a(-3)^2[/tex]
[tex]18=9a[/tex]
Divide both sides by 9.
[tex]2=a[/tex]
Putting [tex]a=2[/tex] in (ii), we get
[tex]y=2(x-3)^2-10[/tex]
Therefore, the correct option is J.
Find the GCF of each pair of monomials.
48t, 60st
Answer:
The GCF is 12t
Step-by-step explanation:
Here, we want to calculate the greatest common factor of the given polynomials
To do this, we need to write each as the product of its prime factors
We have this as;
48t = 2 * 2 * 2 * 2 * 3 * t
60st = 2 * 2 * 3 * 5 * s * t
we then bring out pairs of similar terms
So the GCF would be;
2 * 2 * 3 * t = 12t
( -1)×(-1)×(-1) 5 times equal to
I think the answer is -5.
How many meters are equal to 4,581 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.
Answer:
Step-by-step explanation:
How many meters are equal to 4,581 centimeters?
100cm = 1m
4581 cm = x
Use how the placement of the decimal point changes when dividing by a power of 10 to help you
The original price of concert tickets is $100.00. If there is a discount of 21%, what is the sale price?
Answer:
its 100 so it would literally just be 100 - 21
Step-by-step explanation:
Hurry this is due in 45 minutes! I need help
Answer: B
Step-by-step explanation:
18%/38%= about 47%
The table shows the heights of students in a group
Student Height (in inches)
49
47
46
45
53
What is the mean height of the students in the group?
46 inches
48 inches
51 inches
53 inches
Answer:
The guy above me is wrong but I know the correct answer and the correct answer is 46 and you get this by adding all your numbers together then dIvide the number that you got by however many numbers you added together and that is how you get 46
PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Were is the slope-intercept ?
Answer: The slope intercept is at (0,5)
Step-by-step explanation: This is because the line intercepts the y-axis at (0.5).
Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?
Answer:
the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it
Step-by-step explanation:
Answer:
84 miles
Step-by-step explanation:
Please help with this math question asap
Answer:
150
Step-by-step explanation:
us I'd send bag I'd send veg svdudhvgdkdbdbdudduddh
Which set of tokens represents 0?
Positive
Negative
Pls helpp!!
Answer:
C.
represent 0
hope it helps
URGENT!!! I’LL GIVE BRAINLIEST ANSWER
Answer:
a
Step-by-step explanation:
Answer:
A. QRP≅UTV
Step-by-step explanation:
Q is congruent with U.
R is congruent with T.
P is congruent with V.
Let me know if that helps!
would 1, 2, 5, form a right angle
One card is drawn from a standard 52-card deck and then replaced, and then a second
card is drawn. What is the probability that the first card is a red 8 and the second is a
black 10?
Answer:
1/676
Step-by-step explanation:
In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)
P( red 8) = number of red 8's/ total
= 2/52 = 1/26
Then we put the card back so there are still 52 cards
In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)
P( black) = number of black 10's/ total
= 2/52 = 1/26
Multiply the probabilities together
P( red 8, black 10) = 1/26 * 1/26 = 1 /676
1. On a scale drawing with a scale of 1 in to 25 feet, the height of a building is 8 inches on a
drawing. How tall is the actual building?
A. 200ft
B. 200in
C. 20ft
D. 20in
Answer:
A
Step-by-step explanation:
You multiply 8 and 25
At a water park, 4 out of 20 tickets sold were child tickets. What percentage of the tickets were child tickets?
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
PLZ HELPPP
What is the radius of a cylinder that has a volume of 500 fts and that is 10 ft tall?
Answer:
4ft
Step-by-step explanation:
500=pir^2h
r^2=500/(10*pi)
r=3.989ft
The area of a rectangular carpet is 96 square feet. The length of the carpet is 12 feet. What is the width of the carpet?
A. 8 feet
B. 12 feet
C. 24 feet
D. 36 feet
Answer:
A. 8 feet
Step-by-step explanation:
96 = 12 (x)
96/12 = x
8 = x
Please help me! Thank you!
Quickly please I can't answer it and I'm running out of time
(rounded by the nearest tenth .79>.8)
Formula:
A=2⋅π⋅r⋅h+2⋅π⋅r^2
Equation:
2⋅ 3.14⋅ 5.3⋅ 5.6+ 2⋅ 3.14⋅ 5.3^2 =362.8 m^2Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?
How do you know if something is congruent? (scale Factors)
example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.
Answer:
Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.
Step-by-step explanation:
Calculating permutations can be used in all of following except _____.
seating arrangements at a wedding
survey results
assisting computer programmers
placing items into a display
Answer:
Option C,
Calculating permutations can be used in all of following except assisting computer programmers
Step-by-step explanation:
Permutations is basically used in cases where there is some sort of patterning involved in it.
In case of seating arrangements at a wedding, survey and placing items into a display some kind of pattern will be followed.
Hence, option C
Answer:
survey results
Step-by-step explanation:
I got it right