Let f(x) = y
y = 2^x
x = 2^y
Solve for y.
ln x = ln(2^y)
ln x = y ln 2
ln x/ln 2 = y
Replace y with f^(-1) x.
f^(-1) x = ln x/ln 2
We now know f(x) and f^(-1) x.
Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.
Good luck.
which value of y makes the inequality 3y^2 + 2(y - 5) >8 true?
A. y = 0
B. y = -1
C. y = -2
D. y = -3
Answer:
-3
Step-by-step explanation:
Branliest to correct answer explain how you got your answer please
I need help with this problem
1: yes
2:C
3:D
Step-by-step explanation:
a number is missing in no.3
the ans in 3 is -1,0,5,1,5,6
Please help this is important
Answer:
x = 18.8
Step-by-step explanation:
(6x + 19) is in linear pair vertically so,
it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)
now, 180 - 6x + 19 is corresponding with (4x + 11)
therefore, 4x + 11 = 180 - 6x + 19
4x + 6x = 180 + 19 - 11
10 x. = 180 + 8
10 x. = 188
x = 188/10
x. = 18.8
Cross - check:-
4x + 11 = 180 - 6x + 19
4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)
86.2. = 86.2
therefore, x = 18.8 is the correct answer
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
What is the measure of m?
12
4.
n
m
m = [?]
Please help!
I think the answer to m is 8
WILL GIVE BRAINLIEST!!
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 5(1.07)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 1 to m = 9, and what does it represent? (4 points)
Step-by-step explanation:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
Need answer asap, correct answer will get brainliest.
Answer:
answer option number 4
Step-by-step explanation:
Answer:
p(2,-4) q(3,-1) r(4,-4)
Step-by-step explanation: Reflecting across the y axis changes the x coordinates.
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined the compass direction of hundreds of such jumps. They found that 73% of jumps in the northeast direction were successful, compared with 60% of jumps in the southwest direction and only 18% of jumps in all other directions. True or False: Jumping direction and jump outcome are independent.
Answer: False
Step-by-step explanation:
Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions
WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.
Answer:
thrid one looks right
Step-by-step explanation:
Answer:
The 4th cone
Step-by-step explanation:
Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward. If you are familiar with plane symmetry, this question is fairly simple. Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.
Hope this helps.
Just in case my explanation was too confusing, I'll attach the image of the answer here.
Feel free to give me brainliest.
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
Terrell built a model of an airplane. The
length of one wing in the model is 4 inches
long. The scale of the model is 1 inch =
17.5 meters. Find the length of the actual
wing of the airplane.
Answer: 70 m
Step-by-step explanation: 4 inch 4·17.5 m = 70 m
Which graph represents y as a function of x?
Answer:
D
Step-by-step explanation:
Has only one point on the x- axis.
Answer ASAP for BRAINLIEST (NO LINKS OR I REPORT)
Answer:
radius = 3 feet
Step-by-step explanation:
V = 1/3πr²h
15π = 1/3πr²·5
you can divide each side by 5π to get:
3 = r²/3
r² = 9
r = [tex]\sqrt{9}[/tex] which is 3
Answer:
3
Step-by-step explanation:
((r^2)h[tex]\pi[/tex] )/3=volume of a cone
[tex]15\pi =((r^2)h\pi )/3[/tex]
they say that the height is 5 so insert 5 for h
[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]
solve for r
multiply both sides by 3
[tex]45\pi =r^25\pi[/tex]
divide both sides by 5
[tex]9\pi =r^2\pi[/tex]
[tex]r=3[/tex]
Hope that helps :)
please help!!!!!!!!!!!!!!!!!!
Answer: C. 1,485 cubic feet
Step-by-step explanation:
Ur welcome :)
Answer:
I am assuming the storage shed is shaped like a rectanglular prism.
v=lwh
v=9*15*11
v=1485 cubic feet
Answer is C.
Easy easy easy point easy please explain and make it quick as possible
Answer:
--
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.
a. (3/4)*7=(3*7)/4
b. 7*(3/4)=(7*3)/4
c. 3*(7/4)=(3*7)/4
when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Answer:
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
In the late 2000's sales of SUVs decreased due to higher gas prices and improved alternative vehicles. A car dealer is interested whether it takes more days to sell SUV's vs. small cars. He gathers data from a sample of the most recent couple of months of sales and calculates that the he sold 18 SUV's with an average number of days to sale of 95 and a standard deviation of 32 days. For small cars, he sold 38 of them in an average of 48 days with a standard deviation of 24 days. The dealer wants to estimate how much longer it takes to sell an SUV vs. a small car by constructing a 95% confidence interval. 1. The facts of this problem are:
Answer:
1. The facts are;
[tex]\overline x _1[/tex] = 95 days
s₁ = 32 days
n₁ = 18 SUV's
[tex]\overline x _2[/tex] = 48 days
n₂ = 38 small cars
s₂ = 24 days
The confidence level = 95%
The confidence interval is (29.55, 64.45)
Step-by-step explanation:
The facts of the problem are;
The number of SUV's he sold, n₁ = 18 SUV's
The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days
The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days
The number of small cars he sold, n₂ = 38 small cars
The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days
The standard deviation of the time it took to sell the 38 small cars, s₂ = 24 days
The 95% confidence interval is given as follows;
Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]
[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]
We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741
∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45
.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.
Answer:
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]
Sample standard deviation:
Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So
[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]
Confidence interval:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93
The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
answer the question!!!!!!!!!!!!!!
Answer:
Im not sure im sorry if i got it wrong but my guess is 1234 :/
Step-by-step explanation:
Answer:
4132
Step-by-step explanation:
1).4,132 (four thousand one hundred thirty-two) is an even four-digits composite number
2). 4 + 1 + 3 + 2 = 10
3). each number is greater than 0
4). 4+1= 5 3+2= 5
5). 4 is the gretes number in 4132
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.
For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).
Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.
Answer:
Part A: 4x = -5(x-18)
Part B: A and B both = 40 degrees
Step-by-step explanation:
Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.
So A = B
4x = -5(x -18)
4x = -5x + 90
9x = 90
x = 10
Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:
Angle B = -5(x - 18) = -50 + 90 = 40
please help fast!!!! trig/ geometry
Answer:
b = 5.7
A = 51.1°
B = 38.9°
Step-by-step explanation:
a = 7
c = 9
✔️Find b using Pythagorean theorem:
b = √(9² - 7²) ≈ 5.7
✔️Find A using trigonometric function:
Reference angle = A
Opposite = a = 7
Hypotenuse = c = 9
Apply SOH:
[tex] sin(A) = \frac{Opp}{Hyp} [/tex]
[tex] sin(A) = \frac{7}{9} [/tex]
[tex] A = sin^{-1}(\frac{7}{9}) [/tex]
A = 51.0575587° = 51.1°
✔️B = 180 - (90 + 51.1) (sum of triangles)
B = 38.9°
If f varies inversely as g, find f when g= -6.
F= 4 when g= -6
F=
Step-by-step explanation:
f=gf=1/g
4=1/-6
=-24
find f
f=1/-6
jannie recieves 150 pocket money per month in the new year his mother decided to increase his pocket money in the ratio 6 is to 5 calculate jannies adjusted monthly pocket money
Answer:
Answer and steps are in picture.
What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
Find out more about 'Multiplication table' here:
https://brainly.com/question/17211095
Please help ill mark brainliest if correct
I attached a photo of the problem
Answer:
12.8
Step-by-step explanation:
imagine a right triangle in the middle,
base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s
10² + 8² = s²
=> s = √(10² + 8²)
=> s = √(100 + 64)
=> s = √164
=> s ≈ 12.8
The dot plots show the age of different players on two different local soccer teams.
Team A
Team B
+
+
+
4
20
+
29
23
20
24
21
25
26
27
28
29
30
21
22
23
24
28
30
26
28
27
Age (years)
Age (years)
Which statement is best supported by the information in the table?
A.
The range of the data for Team A is equal to the range of the data for Team B
B.
The mode of the data for Team B is greater than the mode of the data for Team A
C.
The distributions of the data for Team A and Team B are approximately
symmetrical
D.
The median of the data for Team B is less than the median of the data for Team A
Answer:
answer is b...............
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