Answer:
See below for answers and explanations
Step-by-step explanation:
I assume the function you wrote was [tex]f(x)=-4^{x-1}-2[/tex]
1) The equation for the horizontal asymptote is y=-2 since a function of the form f(x) = a(b^x) + c always has a horizontal asymptote at y = c, so c=-2, therefore the horizontal asymptote equation is y=-2
2) The range is (-∞,-2) since any real value of y that is less than -2 but doesn't equal -2 (since it's not included) will be a solution.
3) The domain is (-∞,∞) since any real value of x will be a solution.
4) The axis that f(x) is reflected over is the x-axis because when you negate a base in an exponential function, that will occur.
What is the area of the trapezoid shown?
Answer:
Answer is 74 square units
Step-by-step explanation:
I took the quiz.
Tia read 0.46 of the book assigned for class. Kiana read 33 out of the 72 pages. Who read more of the book?
What is the first error Jordy made in his proof?
Choose 1 answer:
Jordy used an invalid reason to justify the congruence of a pair of sides or angles.
Jordy only established some of the necessary conditions for a congruence criterion.
Jordy established all necessary conditions, but then used an inappropriate congruence criterion.
Jordy used a criterion that does not guarantee congruence.
Answer:
D: Jordy used a criterion that does not guarantee congruence.
Step-by-step explanation:
Looking at the various steps, in step five, it says;
ΔABE ≈ ΔBCD
The reason for that is given as;
Angle - Angle - Angle congruence
Now, in test for congruence, we use any of the following criteria;
SSS: Side - Side - Side
SAS: Side - Angle - Side
ASA: Angle - Side - Angle
AAS: Angle - Angle - Side
RHS: Right angle - Hypotenuse - Side
Now, AAA was used and it's not part of the criteria to be used for congruence.
AAA is not used because it's possible for 3 angles to be equal and yet the triangles not congruent.
Thus, we can conclude that Jordy used a criterion that does not guarantee congruence.
Answer: Jordy used a criterion that does not guarentee congruence
Step-by-step explanation: Khan Academy
Frank's been traveling a lot lately as part of his job. During the past 30 days, he's been out of town 18 days. What fraction represents the number of the past 30 days that Frank has been out of town? Explain how you got your answer.
Answer:
18/30
Step-by-step explanation:
He has been out of town 18 out of the 30 days. You can simplify this to 6/10.
A red -tailed hawk can travel 50 miles when it flies against the wind In that same amount of time, the hawk can fly 90 miles when flying with the wind. How fast can the red-tailed hawk fly when the wind speed is 10 miles per hour?
Answer:
Against the direction of the wind is [tex]x-10=35-10=25\ \text{mph}[/tex] and with the wind is [tex]x+10=35+10=45\ \text{mph}[/tex]
Step-by-step explanation:
Let x be the speed of the hawk in still air
The speed of the wind is 10 mph
So speed of the hawk when flying against the wind is [tex]x-10[/tex] and with the wind is [tex]x+10[/tex].
Distance the hawk travels when going against the wind is 50 miles and going with the wind is 90 miles
The hawk covers the above mentioned distances in the same amount of time.
[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]
[tex]\dfrac{50}{x-10}=\dfrac{90}{x+10}\\\Rightarrow \dfrac{50}{x-10}-\dfrac{90}{x+10}=0\\\Rightarrow \dfrac{50(x+10)-90(x-10)}{x^2-100}=0\\\Rightarrow 50x+500-90x+900=0\\\Rightarrow -40x+1400=0\\\Rightarrow x=\dfrac{1400}{40}\\\Rightarrow x=35\ \text{mph}[/tex]
The speed of the hawk in still air is 35 mph.
Speed of the hawk against the direction of the wind is [tex]x-10=35-10=25\ \text{mph}[/tex] and with the wind is [tex]x+10=35+10=45\ \text{mph}[/tex].
When x increases from a to a+2, y increases by a factor of 16. For which function is the statement true?
A. y=2(4)^x
B. y=4x+2
C. y=2(16)^2
D. 16x+2
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 50.2 min. PX> 50.2)( (Report answer accurate to 2 decimal places.) The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.3 and 50.8 min. P(50.3 X50.8)-| Let X have a uniform distribution on the interval (10, 16). Find the probability that the sum of 2 independent observations of X is greater than 29.
Answer:
a) P(X > 50.2) = 0.90
b) P(50.3 < X < 50.8) = 0.25
c) P(X+Y >29) = 0.9167
Step-by-step explanation:
From the given information:
[tex]f(x) = \dfrac{1}{b-a} \ \ \ \ a<x<b[/tex]
[tex]f(x) = \dfrac{1}{52.0-50.0} \ \ \ \ 50.0<x<52.0[/tex]
[tex]f(x) = \dfrac{1}{2} \ \ \ \ 50.0<x<52.0[/tex]
a)
Let X be the random variable that follows a uniform distribution.
Such that [tex]X \sim U (50.0, 52.0)[/tex]
where;
a = 50
b = 52
[tex]P(X> 50.2) = \dfrac{b - x}{b-a}[/tex]
[tex]P(X> 50.2) = \dfrac{52 - 50.2}{52-50}[/tex]
[tex]P(X> 50.2) = \dfrac{1.8}{2.0}[/tex]
P(X > 50.2) = 0.90
b.)
To find the probability that the class length is between 50.3 and 50.8 min.
i.e.
[tex]P(50.3 <X<50.8) = \dfrac{(X_2-X_1)}{(b-a)}[/tex]
[tex]P(50.3 <X<50.8) = \dfrac{(50.8-50.3)}{(52-50)}[/tex]
[tex]P(50.3 <X<50.8) = \dfrac{(0.5)}{(2)}[/tex]
P(50.3 < X < 50.8) = 0.25
c)
Given that:
the interval = (101,16)
The probability that the sum of 2 independent observations of X is greater than 29 can be computed as follows.
here;
[tex]c = \dfrac{a+b}{2}[/tex]
where;
a = 10*2 = 20
b = 16*2 = 32
[tex]c = \dfrac{20+32}{2}[/tex]
c = 52/2
c =26
The required probability:
[tex]P(X+Y >29) = 1 - \dfrac{(b-x)\times 2}{(b-a) \times (b - c)}[/tex]
[tex]P(X+Y >29) = 1 - \dfrac{(32-29)\times 2}{(32-20) \times (32 - 26)}[/tex]
[tex]P(X+Y >29) = 1 - \dfrac{(3)\times 2}{(12) \times (6)}[/tex]
[tex]P(X+Y >29) = 1 - \dfrac{6}{72}[/tex]
P(X+Y >29) = 1 - 0.0833
P(X+Y >29) = 0.9167
A local little league has a total of 95 players, of whom 20% are right-handed. How many right-handed players are there?
Answer:
19
Step-by-step explanation:
20% of 95 is 19 :)
Solve the given initial-value problem. (Use x as the independent variable.) 2y'y'' = 1, y(0) = 2, y'(0) = 1
Answer: y(x) = (2/3)*(x + 1)^(3/2) + 1/3.
Step-by-step explanation:
We have the differential equation:
2*y'(x)*y''(x) = 1.
y(0) = 2
y'(0) = 1.
I will use the change:
u = y'
u'= y''
Then we must solve:
2*u*u' = 1.
The product does not depend on x:
u*u' = 1/2.
By looking at the problem, i know that the functions must be something like:
u = a*(x + b)^n
Where a and b are real numbers.
u' = n*a*(x + b)^(n - 1)
such that:
(x + b)^n*(x + b)^(n - 1) does not depend on x
This means that:
(x + b)^n*(x + b)^(n - 1) = (x + b)^(n + n - 1) = 0
n + n - 1 = 0
2n = 1
n = 1/2
Then:
u = a*(x + b)^(1/2)
u' = (a/2)*(x + b)^(-1/2)
The differential equation becomes:
u*u' = 1/2
a*(x + b)^(1/2)* (a/2)*(x + b)^(-1/2) = 1/2
(1/2)*a^2 = 1/2
a^2 = 1.
And by the initial conditions, we have:
y'(0) = u(0) = 1
then:
u(0) = a*(0 + b)^(1/2) = a*b^(1/2) = 1
now, if a = -1, then b^(1/2) must be negative, this can not really be then we must have:
a = 1
u(0) = 1*b^(1/2) = 1
then b = 1.
u(x) = (x + 1)^(1/2).
And remember that y'(x) = u(x).
Then we need to integrate u(x) over x.
let's use the change of variables:
w = x + 1
dw = dx
Then the integration of u(x) is:
y(w) = ∫(w)^(1/2)dw = (2/3)*w^(3/2) + c
where c is a constant of integration.
now we can go back to x:
y(x) = (2/3)*(x + 1)^(3/2) + c
And we know that:
y(0) = 1 = (2/3)*(0 + 1)^(3/2) + c
1 = (2/3)*1 + c
1 - 2/3 = c
1/3 = c
Then:
y(x) = (2/3)*(x + 1)^(3/2) + 1/3.
A bath tub in the shape of a rectangular prism is 20 meter long, 10 meter wide and 5 meter deep. How much water can it hold?
Answer:
1000 meters³
Step-by-step explanation:
20 x 10 x 5 = 1000
the units are in meters and you are measuring the volume so the units is meters³
Volume of rectangular prism is 1000 [tex]m^{3}[/tex]
1000 [tex]m^{3}[/tex] of water can a bath tub hold.
What is a rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid."
Given
Length of a bath tub = 20 m
Width of a bath tub = 10 m
Height of a bath tub = 5 m
Formula to find the volume of the rectangular prism
Volume of the rectangular prism = length × width × height
= 20 × 10 × 5
=200 × 5
V = 1000 [tex]m^{3}[/tex]
Volume of the rectangular prism = 1000 [tex]m^{3}[/tex]
Hence, Volume of rectangular prism is 1000 [tex]m^{3}[/tex]
1000 [tex]m^{3}[/tex] of water can a bath tub hold.
Learn more about rectangular prism here
https://brainly.com/question/16154580
#SPJ2
Consider these proportions: 4.5:1.5 6:2 7.5:2.5 9:3
Which of the following proportions belongs to the above set?
A 10.5:3.5 B 13:4 C 13.5:4.5 D 14:5
Answer:
A
Step-by-step explanation:
The perimeter of a triangle is 25 cm. The first side is 3 cm longer than the second side. The third side is triple the length of the first side. Find the length of each side. (NEED HELP ASAP!! FIRST ONE GETS BRAINLY!!)
Step-by-step explanation:
Let second side = x
First side = 3+x
Third side = 3(3+x) = 9 +3x
The perimeter of a triangle = 25 cm
Perimeter = sum of all sides
So,
x + 3 + x + 9 +3x = 25
12 + 5x = 25
5x = 13
x = 2.6 cm
First side = 3 + x = 5.6 cm
Second side = x = 2.6 cm
Third side = 9+3(2.6) = 16.8 cm
A desk fan has blades of 4 inches rotated at a rate of 249 revolutions per minute.
18 Graph the solution set for the inequality 4x – 3y > 9
on the set of axes below. Determine if the point
(1,-3) is in the solution set. Justify your answer.
Answer:
I think it's (-13,0)
Step-by-step explanation:
4x - 3y > 9
3y - 9 =x
y=-13
(-13,0)
Plz forgive me if i did that wrong I did try lol
A snail crawled ¾ inches in ⅕ of a minute. How long did it take the snail to crawl ½ an inch?
A gallon of milk cost $2.79 in 200.In 2015,it cost$3.98. Round to nearest tenths place . Write in Original,New,Change,Percent Proportion,Increase or Decrease,Solution Form
Answer:Is that the way the question was asked that's confusing
Step-by-step explanation:
Which expression is equivalent to 9+8 xn?
0 72n
O 9 + 8n
17 xn
0 9x (8 + n)
Answer:
17xn
Step-by-step explanation:
1. What is the slope of this line?
(have this done correctly for brainiest)
Answer:
4
Step-by-step explanation:
slope = dy/dx
We can see a dy (delta y) of 4 together with a dx of 1. In other words, when you step 1 to the right, you go up 4.
Answer:
the slope is-- 4/1 and the y intercept is where the line touches the vertical line. sorry the picture in not clear,so i could not see the number
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
Rise/Run= 1/2
Step-by-step explanation:
Help me please I’ll mark as brainliest!!
Answer:
i wish i could help so sorry
Step-by-step explanation:
2x < 16
...................
Answer:
X could be any number from 1-6
Step-by-step explanation:
Because 2 multiplied by 1-6 equals a number lower than 16
A lawn-care company loses $130 as a result of a delay. The 4 owners of the company must share the loss equally. Which expression represents each owner’s share of the loss?
Answer:
$130/4
Step-by-step explanation:
A shopper needs 24 sandwich rolls. The store sells identical rolls in 2 differently sized packages. They sell a six-pack for $5.28 and a four-pack for $3.40. Should the shopper buy 4 six-packs or 6 four-packs?
6 four-packs is a better deal
4 six-packs is a better deal
what is 2+2
it is very hard
Answer:
4 is your answer :) yayy
Answer: Your answer is 4
Step-by-step explanation: If you have 2 blocks, and someone gives you 2 more, you now have 4 blocks in total. Hoped this helped you. Have a wonderful day!!!
plz help due in 5min
Answer:
Justin, Louise, Franklin
Step-by-step explanation:
Solve the equation for y.
2/5 x+y=3
Answer:
y=-2/5x+3
You subtract 2/5x from both Sides to get your answer
Solve! Image attached! Geometry, dumb/incorrect answers will get account, and answer reported, please answer all the way through
Answer:
+) m∠1 = m∠2 (vertical angles theorem)
+) m∠2 and ∠3 are supplementary (because a//b)
+)m∠3 = m∠4 (alternate interior angles theorem, c//d)
=> ∠1 and ∠4 are supplementary (substitution property of equality)
Step-by-step explanation:
definition of EQuals
Answer:
Equals means a person or thing considered to be the same as another in status or quality.
Or the mathmatic term is be the same as in number or amount.
what is 3 divided by 80
0.0375 did you mean 80÷3 if so 26.6
andreis grandfather offered to give him a
Answer:
girlfriend
Step-by-step explanation:
