Answer:
[tex] {y}^{ - 1} = \sqrt{x - 16} [/tex]
Step-by-step explanation:
To find the inverse of this function, we make "x" the subject of the equation .[tex]y = {x}^{2} + 16 \\ {x}^{2} = y - 16 \\ x = \sqrt{y - 16} [/tex]then we interchange "y" and "x" .[tex]hence \: the \: inverse \: is \\ {y}^{ - 1} = \sqrt{x - 16} [/tex]Shannon has a collection of sports cards. Last month, she had 50 sports cards. Since last month, her collection has decreased by 46%. How many sports cards does Shannon have now?
Can someone help me with this problem? Thank you!
Answer:
Perimeter = 61 7/20
Step-by-step explanation:
Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.
If wandas motherly take-home is $3,000 her fixed monthly expenses are $2,575 and get average monthly variable expenses are $855 what is her financial situation?
The fifth-grade classes at Martinez
Elementary School are going to take
a short tethered ride in a hot-air
balloon. The balloon can hold three
students at a time. If there are one
hundred twenty-six students in the
fifth grade, how many rides will have
to be taken in order for every student
to have a turn?
Can you please help me with 12 please?
The expression for the 12 more than half of the postcard will be written as:- P/2+12=P
What is an expression?The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.
here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.
The expression will be written as:-
P/2+12=P
Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P
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Which is the simplified form of m^-8p^0
Answer: Heyaa!! ~
Your Answer is... 1/m^8 which is the b or the second answer!
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you!
-Matthew ^^
I NEED EMERGENCY HELP HELP HELP HELPI WILL MARKKK YOU BRAINLIST
Answer:
D. 68+(6x+4)=180
x = 18
Step-by-step explanation:
"Supplementary angles" are angles that add up to 180°
So we add the twi angles 68+(6x+4) and that equals to 180°.
68 + 6x + 4 = 180
add 68 and 4
72 + 6x = 180
subtract 72.
6x = 108
divide by 6.
x = 18
A study of the annual population of bees in a county park shows the population, B(t),
is declining due to pesticide usage and can be represented by the function
B(t) = 1872(.83)*, where the t represents the number of years since the study
started. Based on the function, what is the percent the bees population declines by each
year?
Answer:
yor mom
Step-by-step explanation:
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
The decline rate will be calculated as below:-
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
From the function :
b = 0.83
The decline rate will be calculated as,
Decline rate = 1 - 0.83 = 0.17 x 100 = 17%
The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.
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if 2sin theta+1=0 and 90°270° calculate a) 4cos²theta. b) 81tan²theta
Answer:
A) [tex]4\cos^2\theta=3[/tex]
B) [tex]81\tan^2\theta=27[/tex]
Step-by-step explanation:
[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]
[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]
[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]
Hello I need help with this math question
Answer:
c obtuse angle
Step-by-step explanation:
Answer: C, Obtuse Angle
Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.
An acute angle is an angle with LESS than 90 degrees, which is also incorrect.
An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.
A straight angle is just a straight line, which this angle is not.
Does anybody know this?Find the measure of the following arcs.
Answer:
see explanation
Step-by-step explanation:
an arc of a circle is equal to the central angle subtended by the arc
central angle of arc ED = 50° ( vertically opposite angles )
then
arc ED = 50°
the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°
then
arc BC = 90°
the central angle subtended by arc AE = 180° - 50° = 130°
then arc AE = 130°
arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°
Find the radius with a volume of 180 cubic feet. Round your answer to the nearest tenth.
I need help! Quick!
Answer:
3.5 i think
Step-by-step explanation:
r=(3V
4π)⅓=(3·180
4·π)⅓≈3.50263
1) The graph of a quadratic f(x) intersects the x-axis at -2 and 10. What is a possible
equation for f(x)?
fx) =
Answer:
The polynomial f(x) = x^2 - 8x - 20
Which is an example of a living expense?
O A. A concert ticket
O B. A subway pass
O C. A streaming service
O D. A newspaper subscription
Jack deposited $47,323.15 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 3 years?
Answer:
Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.
General Formulas and Concepts:
Algebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify given variables.
P = $47,323.15
r = 0.05
n = 1
t = 3
Step 2: Find Interest
[Compounded Interest Rate Formula] Substitute in variables:∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.
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Topic: Algebra I
Help me on this math problem please!! DUE TONIGHT!! Write an equation!
Answer:
(3x+8)°+(x+4)° = 180,
x=42
Step-by-step explanation:
They are linear pairs, so the two angles are supplementary or add up to 180°.
1. Format the equation (3x+8)°+(x+4)° = 180
2. Simplify like terms 4x + 12 = 180
3. Subtract 12 on both sides, 4x=168
4. Divide 4 on both sides, x=42
5. Answer is x=42
Please help.... this is confusing me:0
Answer:
See below
Step-by-step explanation:
IN a right triangle , remember S-O-H-C-A-H-T-O-A <===memorize this!
sin z = O/H = opposite side/hypotenuse = 16/20
cos z = A/H = adjacent / hy[potenuse = 12/20
tan z = O/A = 16/12
What is the area of this composite figure ?
21 yd
21 yd
10 yd
Answer:
area is 630
we can multiply 2 1 by 21= 63 by 10=630
Mrs. culland is finding the center of a circle whose equation is x2 y2 6x 4y – 3 = 0 by completing the square. her work is shown. x2 y2 6x 4y – 3 = 0 x2 6x y2 4y – 3 = 0 (x2 6x) (y2 4y) = 3 (x2 6x 9) (y2 4y 4) = 3 9 4 which completes the work correctly? (x – 3)2 (y – 2)2 = 42, so the center is (3, 2). (x 3)2 (y 2)2 = 42, so the center is (3, 2). (x – 3)2 (y – 2)2 = 42, so the center is (–3, –2). (x 3)2 (y 2)2 = 42, so the center is (–3, –2).
By completing squares, we will see that the center of the given circle is at (-3, -2).
How to find the center of the circle?
The general circle equation centered on (a, b) of radius R is:
[tex](x - a)^2 + (y - b)^2 = R^2[/tex]
In this case, our equation is:
[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]
First, we need to complete squares, we will have:
[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]
Then, by looking at the left side, we can see that the center of the circle is (-3, -2).
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Answer:
d
Step-by-step explanation:
got it right on edge
Please help!
Find the distance between the points.
(-2.5,3),(5,3)
The distance is ____
Answer:
7.5 units
Step-by-step explanation:
since the y- coordinates of the points are equal, then the distance between them is the absolute value of the difference in the x- coordinates.
distance = | - 2.5 - 5 | = | - 7.5 | = 7.5
or
distance = | 5 - (- 2.5) | = | 5 + 2.5 | = | 7.5 | = 7.5
help for this question fr
Answer:
(x + 16)° = 141°
Step-by-step explanation:
Given figure is of octagonSum of interior angles of an octagon is 1080°-> 5x° + 455° = 1080°-> 5x° = 1080° - 455°->5x° = 625°-> x° = 625°/5x° = 125°x = 125-> (x + 16)° = (125 + 16)° -> (x + 16)° = 141°whats is the answer to
5.8/3t +6=3.8t+4.32
Answer:
t=0.9
Step-by-step explanation:
Evaluate for f(-2)
F(x) = x2 - 4
Answer:
f(-2) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
f(x) = x² - 4
Step 2: Find f(-2)
[Function] Substitute in x:∴ the function when x = -2 is equal to 0.
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Topic: Algebra I
Janelle has one dime and several nickels in her coin purse. The table below describes the relationship between the number of nickels, n, and the total value of the coins in her coin
purse in cents, c
If Janelle has 8 nickels in her coin purso, what is the total value of the coins?
52 cents
50 cents
48 cents
46 cents
Answer:
Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.
Step-by-step explanation:
Graph the inequality.
0 < y + 4x <6
After I graphed it gave me - y>−4x
- Appreciate if you rate.
what is the range of this function?
Answer:
B.
Step-by-step explanation:
The range is all real numbers
It will indefinitely go up and indefinitely go down
Sam wants to surround his garden with fencing. He is using a drawing with a scale factor of 4 feet for every 1 inch.
2 in
4 in
Select the exact amount of fencing, in feet, Sam will need to surround the garden.
10 feet
© 16 feet
© 24 feet
48 feet
Answer:
C. 24
Step-by-step explanation:
Please help on this question
The congruent parts of the triangle are:
<A ≅ < Y
< B ≅ <Z
< C≅ <X
AB ≅ YZ
AC ≅ YX
BC ≅ ZX
]ABC ≅ YZX
What are the congruent parts?The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.
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Help asap please :)))
Answer:
it will be figure 3
Step-by-step explanation:
it is the odd one of them, with inner concave
If you throw 3 dice, the probability of getting 3 sixes is 0.5%. The probability of getting no sixes is 57.9%. Find the probability of getting:
A) fewer than 3 sixes
B) at least 1 six
Answer:
A) 99.5%
B) 42.1%
Step-by-step explanation:
A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%
B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%
