The table shows values for functions f(x) and g(x)
What is the solution to f(x)=g(x) ?
Select each correct answer.
A. −3
B. −2
C. −1
D. 0
E. 1
F. 2
G. 3
Answers
Answer:
E) 1
Step-by-step explanation:
this is when both functions have the same value
Related Questions
9/12 ÷ 3/12 = ??????
Answers
Answer: 9/12 ÷ 3/12 is 3.
Step-by-step explanation: Do the KFC.
K. Keep.
F. Flip the second term to 12/3.
C. Change the ÷ into ×. Then, solve.
9 x 12 is 108, and 3 x 12 is 36.
108 ÷ 36 = 3.
Help again last question
Answers
Answer:
5 cubes. 5 cubes. 4 cubes 5 cubes
Step-by-step explanation:
is easy and no hard
Help me with the math promblem plz
Answers
Answer:
I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'
At a popular rock-climbing site in Yosemite National Park, a randomly selected
Answers
Answer:
please be more specific
Step-by-step explanation:
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%. After t years, there was $3,200 in the account. Based on the given information, if the formula for continuously compounded interest is A = P e r t , where P represents the initial amount of money, r represents the annual interest rate (as a decimal), t represents the number of years, and A represents the amount of money after t years, how many years had the money been in the account? Express your answer as a logarithm.
Answers
Answer:
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
Step-by-step explanation:
The amount of money in the account after t years is given by:
[tex]A(t) = Pe^{rt}[/tex]
In which P is the initial amount deposited and r is the interest rate, as a decimal.
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%.
This means that [tex]P = 1600, r = 0.08[/tex]
After t years, there was $3,200 in the account. How many years had the money been in the account?
This is t for which [tex]P(t) = 3200[/tex]. So
[tex]A(t) = Pe^{rt}[/tex]
[tex]3200 = 1600e^{0.08t}[/tex]
[tex]e^{0.08t} = \frac{3200}{1600}[/tex]
[tex]e^{0.08t} = 2[/tex]
[tex]\ln{e^{0.08t}} = \ln{2}[/tex]
[tex]0.08t = \ln{2}[/tex]
[tex]t = \frac{\ln{2}}{0.08}[/tex]
[tex]t = 8.67[/tex]
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
The value of time t is [tex]\frac{ln(2)}{0.08}[/tex].
Given: P=1600
r=8%=0.08
t = ?
A=3200
Using the given compound interest formula we get:
[tex]A=Pe^{rt}\\3200=1600e^{0.08t}\\2=e^{0.08t}\\[/tex]
Take ln on both sides,
[tex]ln(2)=ln(e^{0.08t})\\ln(2)=0.08t\\t=\frac{ln(2)}{0.08}[/tex]
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XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4
Answers
So they would become:
X(12,-16), Y(24,20), and Z(32,-8)
The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).
Scale factor = 4
Here, X(3, -4)→4(3, -4)→X'(12, -16)
Y(6, 5)→4(6, 5)→Y'(24, 20)
Z(8, -2)→4(8, -2)→Z'(32, -8)
Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
To learn more about the scale factor visit:
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Help this is trigonometry I think 35 points!!
Answers
Answer:
y = 16.3
Step-by-step explanation:
We would apply the formula for altitude of a right triangle which is given as:
h = √(xy)
Where,
h = 14
x = 12
y = y = ?
Plug in the values
14 = √(12*y)
14² = (√(12*y) (squaring both sides)
196 = 12*y
196/12 = 12y/12 (division property of equality)
16.3 = y (nearest tenth)
y = 16.3
What's 16/12 + 11/6?
Answers
Answer:
It's 3 1/6 :) I hope it helps
Alex's car depreciates in value by 18% per year.
Alex bought his car for £34000.
Work out how much his car will be worth after 5 years ?
Answers
Answer:
£12605.15
Step-by-step explanation:
Compound interest formula
34000(1-0.18)^5
The worth car after 5 years will be £12,605.15.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 \pm r \right ) ^{t}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
Alex's vehicle deteriorates in esteem by 18% each year. Alex purchased his vehicle for £34000. Then the worth car after 5 years will be given as,
A = 34,000 (1 - 0.18)⁵
A = 34,000 x (0.82)⁵
A = 34,000 x 0.3707
A = £12,605.15
The worth car after 5 years will be £12,605.15.
More about the compound interest link is given below.
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The equation of a circle is given below.
(x +12)2 + (y - 9)2 = 35
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
Answers
Answer:
center = (-12, 9)
radius = 5.92 (rounded)
Step-by-step explanation:
noel is who is 18meters away from point P on the ground is flying kite directly above point P. if the string of the kite is 25cm. long from noel, how high is the kite from point P? round of your number to the nearest hundredths of meters.
Answers
Answer:
18 meters because the 18 meters away from kite is the same as point p
Consider the graph of the function
f(x)=2^x
Answers
Answer:
D. The y-intercept is at (0,2)
Step-by-step explanation:
f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x
In the exponential function ab^x a is the y-intercept (in this case a is 2)
Y-intercept of g(x) at (0,2) which is correct option(D).
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
f(x) = 2ˣ
g(x) = 2f(x) = 2(2ˣ)
The y-intercept of g(x) = 2f(x),
Substitute in 0 for x and solve for y
y=2(2⁰)
Anything raised to 0 is 1 .
y=2
Y-intercept in point form.
Hence, y-intercept of g(x) : (0,2)
Learn more about Graph here :
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Based on a​ survey, assume that ​48% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly​ selected, exactly of them are comfortable with delivery by drones. Identify the values of​ n, x,​ p, and q. The value of n is ______.
Answers
Answer:
The value of n is the size of the sample, the number of customers selected.
The value of p is 0.48.
The value of q is 0.52.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
48% of consumers are comfortable having drones deliver their purchases.
This means that [tex]p = 0.48, q = 1 - p = 1 - 0.48 = 0.52[/tex]
The value of n is the size of the sample, the number of customers selected.
Find the area. Simplify your answer.
x-5
6
Answers
Answer:
6x-30
Step-by-step explanation:
Just multiple like this (6)(x-5)
can somebody help me please
Answers
Given parameters :
Camille is 7 years older than Donny Donny is 4 years younger than TommyTo find :
Total ages of the three peopleSolution with details :
Let us take the age of Donny as x years - i
According to the given question we have ,
Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )Total ages of three people = Sum of their ages
Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11Find the slope and y intercept of 2y +8 = 6x + 4
Answers
Answer: y = 3x -2
Slope =3
Y-intercept = -2
Step-by-step explanation:
2y+8 = 6x + 4
Subtract 8 on both sides.
2y = 6x -4
Divide by 2. 2y divided by 2 leaves just y. 6x divided by 2 is 3x. -4 divided by 2 is -2.
Hopefully I did this correctly and it helps you!
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 27% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let X denote the number among the four who have earthquake insurance.
(a) Find the probability distribution of X. [Hint: Let S denote a homeowner that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.27)(0.73)(0.27)(0.27) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimal places.)
x 0 1 2 3 4
p(x) ___ __ __ __ __
(c) What is the most likely value for X?
(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)
Answers
Answer:
a)
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
c) The most likely value for X is 1.
d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
27% of all homeowners are insured against earthquake damage.
This means that [tex]p = 0.27[/tex]
Four homeowners are to be selected at random.
This means that [tex]n = 4[/tex]
(a) Find the probability distribution of X.
This is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]
[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]
[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]
[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]
[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]
So the probability distribution is
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
(c) What is the most likely value for X?
P(X = 1) has the highest probability, so X = 1 is the most likely value.
(d) What is the probability that at least two of the four selected have earthquake insurance?
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]
0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
PLEASE HELP!
find BC
Answers
Use technology to find points and then graph the line y = 5/3x – 1
Answers
Answer:
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
y-int = (0, -1)
x-int. = (3/5, 0)
good luck, i hope this helps :)
What is the slope of the line that passes through the points (-4, 8) and (-14, 8) ? Write your answer in simplest form.
Answers
Answer:
the slope is 0
Step-by-step explanation:
Answer:slope, m=0
Step-by-step explanation:
using the slope formula m=y2-y1/x2-x1
m=8-8/-14-4 = 0/-10
m=0
HELP ME !!!!?? Brainliest if right
Answers
I’m gonna mark brainliest plz answer
Answers
Answer:
1) 6
2) 8/125
3) 5
4) 4/5
Step-by-step explanation:
1) 2x2x2x2x2x2 = 64 then 2^6 = 64
2) (2/5)^3 =8/125
3) 3x(3^4) = 3^5
4) sq rt 16/25 = 4/5
Select all answer choices that show a correct comparison. A. 1 2 < 1 5 B. 3 5 > 3 10 C. 2 8 < 1 4 D. 5 6 > 2 5 E. 5 10 > 2 5
Answers
Answer:
78
Step-by-step explanation:
37-71
2538
37003-221
35303
Given the polynomials p(x) and g(x), which of these are guaranteed to be polynomials, too?
Select all that apply.
p(x) + g(x)
p(x) = g(x)
p(x) 9(%)
p(x) - g(x)
Answers
Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.
A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.
Answers
Answer:
B
Step-by-step explanation:
I Had this
The number of people signed up for a bus trip increased from 32 to 45 what is the percent increase round to the nearest percent
Answers
Answer:
40.6%
Step-by-step explanation:
first find the increase (increase = 45 - 32) = 13
second divide increase by OG # (13 / 32) = 0.40625
then you multiply by 100
Answer:
41%
Step-by-step explanation:
What is the distance between the points (6,2) and (1,-5)
PLEASE ANSWER QUICK
Answers
Answer:
[tex]\displaystyle d = \sqrt{74}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, 2) → x₁ = 6, y₁ = 2
Point (1, -5) → x₂ = 1, y₂ = -5
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{74}[/tex]Evaluate the following expression:
7× + 5y
Answers
Answer:
I think this question is incomplete or maybe incorrect but if it's OK then the answer would be 7x + 5y.
Step-by-step explanation:
the answer remains the same because the question has no like terms so no further calculations can be made.
9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the
pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how
far is the whale from his eyes?
Answers
Answer:
90.67feet
Step-by-step explanation:
Given that α = 20°
Tan α = opp/adj......... 1
Opp = 33feet
Adj = x
Substitute the values into equation 1
Tan 20° = 33feet/adj
0.36397 = 33/adj
0.36397×adj = 33
Adj = 33/0.36397
Adj = 90.666
Recall, adj = x = 90.666feet
x = 90.67feet
Hence, the whale is 90.67feet far from the eyes
Need help pls ASAP 6th grade math
Answers
Answer:
don't know
Step-by-step explanation:
umm