Find the Inverse
To find the inverse, interchange the variables and solve for
y
.
f
−
1
(
x
)
=
x
9
+
2
9
EXPLAIN WHAT YOU PISCOVERED ABOUT THE NATURAL BASE E
Answer:
It's called the Natural Logarithm because so many processes in nature can be described mathematically using it.
For example:
1) The population of a colony of rabbits that reproduce at a constant rate
2) The decay rate of a charged capacitor
3) The decay rate of a radioactive isotope
4) The rate at which your money will grow if you apply an interest rate continuously over a period of time.
5) The population of seeds in a sun flower
6) etc.
select the correct answer.
What is the value of this expression when c= -4 and d = 10?
1(3+2)
ОА.
2
ОВ.
B. 9
C. 21
D 41
Hey there!
To answer this question you have to plug in your values and do PEMDAS.
PEMDAS simply means
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
WE CAN ANSWER THE EQUATION
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(-64 + 100)
= 1/4(-64) + 1/4(100)
= -16 + 25
= 9
OR
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(36)
= 9
Therefore, your answer is: 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
4) The black square is a dilation of the blue square. What is the scale factor of the dilation?
A) 1/4
B) 1/3
C) 3
D) 4
What is the surface area of the prism in the picture?
Answer:
girl that is so easy, just look it up
Question 6 of 10
15
10
Which function is graphed?
5
-8 6 4 2 0 2
6
8
-5
O A. y.
{x+6,> 3
{-x+6, x83
B. y - {x? +6,x< 3
1-x+6,23
O C. Y-
{x? +6.53
1-x+6, x>3
Tx2 +6.x23
O D. y =
{-x+6, x<3
Answer:
b
Step-by-step explanation:
The function represented by the graph is
y = { x² + 6 , x < 3
-x + 6 , x ≥ 3}
What is a function ?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
According to the graph
When x < 3 then y = + 6
and, at x = 3 we get an open interval.
So, y = x² + 6 is valid for x < 3 not at x =3.
Also , y = -x + 6 is valid for x ≥ 3 and we get a close interval.
Thus, the function represented by the graph is
y = { x² + 6 , x < 3
-x + 6 , x ≥ 3}
learn more about functions here:
brainly.com/question/23104523
#SPJ7
Based on the family the graph below belongs to, which equation could represent the graph ?
Firstly this looks like translated log function graph
y=logxlog1=0
As per graph the graph is pulled some inwards y axis but little bit
y=log2xUsually log x leaves y axis at -1 but here it leaves at +2
So
y axis is moved upwards (+3)
Last function
y=log(2x)+3A bracelet costs $15. A matching necklace costs 3 times as much as the bracelet.
fcis the cost of the necklace, which equation models the cost of the
necklace and
shows the solution?
$15 = 3= CC= $5
А
B
$15 X 3 = cc = $45
С
$15 + 3 = cc = $18
3 x $15 + $15 = cc = $60
D
Answer:
B
$15 X 3 = cc = $45
Step-by-step explanation I asked my teacher and it was right
Schools
Name
7th Grade Math EOY, L104 (Statistics and Probability)
Non-Uniform Probability Models
Homework
1. A box contains marbles of the following colors:
Blue
14
Green
10
Yellow
S
Red
68
(a) Create a probability model showing the theoretical probabilities of picking a marble
from the box
2. Tanya has 3 red hats and 2 blue hats. If she picks one hat at random 100 times, how
Date
Team
Answer:
this is too much, and I forgot how to do this
find three consecutive positive integers such that the product of the first and the third integer os 29 more than the second
Answer:
5, 6, 7
Step-by-step explanation:
let the 3 consecutive integers be n , n + 1 , n + 2 , then
n(n + 2) = n+ 1 + 29
n² + 2n = n + 30 ( subtract n + 30 from both sides )
n² + n - 30 = 0 ← in standard form
(n + 6)(n - 5) = 0 ← in factored form
equate each factor to zero and solve for n
n + 6 = 0 ⇒ n = - 6
n - 5 = 0 ⇒ n = 5
n > 0 , then n = 5
the 3 integers are 5, 5 + 1, 5 + 2 , that is
5, 6, 7
Find the area and the circumference of a circle with radius 6 cm.
Write your answers in terms of it, and be sure to include the correct units in your answers.
Step-by-step explanation:
radius=6cm.
π=22 over 7
circumference=2πr
circumference=2×22 over7×6
circumference=51.04cm
Can you please solve
7.25% of 38,000
10% = 3,800
5% = 1,900
1% = 380
0.50% = 190
0.25% = 95
1,900+380+380+95 = 2,755
38,000+2,755 = 40,755
Please Help !!!
Serena took two numbers which may or may not be integers, rounded
each of them up to the nearest integer, multiplied the results, and
got 100. When she took the original numbers, rounded each of them
down to the nearest integer and multiplied the results, she got X.
Find the largest possible value of X.
( The Answer is 202, please give a step by step solution)
Thank You
Recall (or "define", if you're not familiar) the so-called ceiling and floor functions, or least/greatest integer functions, respectively; for any integer n,
• ceiling function:
[tex]\lceil x \rceil = n \text{ if } n-1 < x \le n[/tex]
• floor function:
[tex]\lfloor x \rfloor = n \text{ if } n \le x < n+1[/tex]
Let x and y be the two numbers Serena picks. She finds that
[tex]\lceil x \rceil \lceil y \rceil = 100[/tex]
[tex]\lfloor x \rfloor \lfloor y \rfloor = X[/tex]
Assume x and y are not integers. Let m and n be two integers such that m - 1 < x < m and n - 1 < y < n. Then
[tex]\lceil x \rceil \lceil y \rceil = mn = 100[/tex]
so m and n are divisors of 100. There's a finite number of distinct divisor pairs (m, n) to consider,
(± 1, ± 100), (± 2, ± 50), (± 4, ± 25), (± 5, ± 5)
whose sums can be one of
± 101, ± 99, ± 52, ± 48, ± 29, ± 21, ± 10, 0
Similarly,
[tex]\lfloor x \rfloor \lfloor y \rfloor = (m-1)(n-1) = 101 - (m + n) = X[/tex]
which is maximized if the sum m + n is negative; the largest of these is m + n = -101, so the maximum value of X is 101 + 101 = 202.
The reasoning for the case of either x or y, or both, being integers is nearly identical.
-
A rectangle has dimensions 2x – 12 by 3x + 9 and area 60 cm². What are the actual
dimensions of the rectangle?
Answer:
2 x 30 cm
Step-by-step explanation:
L x W = 60
(2x-12)(3x+9) = 60
6x^2 -18x-168=0
use quadratic fromula to find x = 7 or -4 (throw out)
the sides then become ( using 7)
2 and 30 cm
A tree in Kira's backyard is 1/4 meters tall. It has been growing for 2 4/5 years.
What is the unit rate in meters per year?
Answer:
0.0893 meters per year
Step-by-step explanation:
1/4 is 0.252 4/5 is 2.8divide height by year to get height gain per year0.25/2.8 = 0. 0893 (to 3 SF)what is the answer for 10^30 kg
Answer:
1000000000000000000000000000000 kg / 1E + 30 kg
Step-by-step explanation:
10³⁰ kg
Calculate 10 thirty times,
= (10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10) kg
=1000000000000000000000000000000 kg
= 1E + 30 kg
_____________
Hope it helps ⚜
[tex] {10}^{30} [/tex]
solution:[tex] {10}^{30} [/tex]
[tex] = 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]
[tex] = 100000000000000000000000000000[/tex]
[tex] = 1.0e30 \: kg[/tex]
Find the mean 3,4,4,2,5,7,2
Answer:
pls refer to pic
well I am from India whats the time there now
Ms. Johnson's sixth grade class handed out surveys,
one to each student, about hair color and later posted the results:
75% of students had brown hair
20% of students had red hair
10% of students had blonde hair
What is the error in this sampling?
OA. Not that many students had brown hair.
O B. No one kept track of the number of surveys that went out.
O C.
The results add up to more than 100%
O D. Only two students were involved in tabulating the results.
Answer:
b
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
this should be obvious as 75 + 30 = 105
help? I can’t figure out this problem
Answer:
B
Step-by-step explanation:
Euler's formula tells you that ...
cos(θ) +sin(θ)·i ≡ e^(i·θ)
__
So, for θ = 90° (= π/2 radians), this is ...
cos(π/2) +sin(π/2)·i = 0 +i = i = e^(i·π/2) . . . . . matches choice B
Which algebraic expression is equivalent to the expression below?
(16x - 2) + (10 - 8x)
OA. 8x + 12
OB. 26x - 10
OC. 24x + 12
OD. 8x + 8
Answer:
D. 8x + 8
Step-by-step explanation:
16x - 8x - 2 + 10 = 8x + 8
Hope this helps
Answer:
D. 8x + 8
Step-by-step explanation:
Simplify the expression:
16x - 2 + 10 - 8x
Combine like terms:
16x + 8 - 8x
8x + 8
hope this helps!
what is 108 x 0.37 in money
saved: 12:19 PM
Week 1
Week 2
Week 3
Total
Lettuce
$5.48
?
$3.55
$12.00
Apples
$3.57
$ 2.12
$4.44
?
Chicken
$8.12
$10.13
?
$20.45
Enter his total cost for lettuce, apples, and chicken during Week 2.
$
135
Step-by-step explanation:
salamat po dana po makatulong
Which linear inequality represents the solution set graphed?
Answer:
it's A
Step-by-step explanation:
I dId this in 6 grade I hope this help
If you sell 175 shares of Michaels Flowers at $7.28 per share and 445 shares of Nanotech One at $10.80 per share, how much money will you receive, to the nearest dollar?
Answer:6080$
Step-by-step explanation:I did the same question on my test
write the following ratio as a fraction in lowest terms
5/3to7/6
10/7
hope it helps...!!!
can someone help with this?
Julia's car used 1/100 of a gallon to travel 0.25 miles. How many miles can the car go on one gallon of gas? On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, whole numbers, or decimals. miles 0 gallons Enter your final answer as a whole number or decimal.
Answer:
25 miles
Step-by-step explanation:
well
1/100 = 0.25
10/100 = 2.5 (Because 0.25 x 10)
100/100 = 25 (Because 0.25x100)
7. The graph shows the height, h, in feet, of water
sprayed from a fountain as a function of the
horizontal distance, d, in feet, the water has
traveled.
Water Fountain
h
3
69 12 15
Horizontal Distance (ft)
What is the domain of the function described in the
graph?
OA. All whole numbers less than or equal to 16
OB. All non-negative real numbers less than or
equal to 18
OC. All non-negative real numbers less than or
equal to 16
OD. All whole numbers less than or equal to 18
Height (ft)
20
16
12
18
The domain is talking about the "range" of the horizontal axis therefore you will be focusing on the x-intercepts.
The answer will be All non-negative real numbers less than or equal to 18
because the x-intercepts lies at 0 and 18. The answer makes sense because the furthest you can go is 18 ft and the closest you could go is 0 ft. The "all non-negative real numbers" puts a restriction on the least distance it could travel so that means that it stops at 0 ft because if you go any further, you will end up in the negatives and it clearly states "non-negative".
If a soccer team made 34 penalty shots out of 100, what fraction and what
percentage of penalty shots did the team miss?
O A.
34
100
I B. 66%
O
C.
66
100
D. 34%
E.
70
100
F. 0.34%
Answer:
66% Missed (Percentage Form)
66/100 Missed (Fraction Form)
Step-by-step explanation:
100-34 = 66
66/100 Shots missed
66/100 to percentage is 66%
66% shots have been missed.
PLS HELP ME
••Pls show your work pls and thank you••
Which expressions are equivalent to the given expression?
√40
O 1602
0 401
2√10
0 5√8
☐ 4√10
[tex]2\sqrt{10}[/tex] is equivalent to the expression [tex]\sqrt{40}[/tex]
entire to mixed radical:
[tex]\sqrt{40} \\\sqrt{4\ x\ 10} \\2\sqrt{10}[/tex]
decimal value:
[tex]2\sqrt{10}=6.32....\\\sqrt{40}=6.32...[/tex]