[tex] \sf \: -15 < x - 8 < -4 [/tex]
Add 8 to all parts[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]
[tex]\sf \longmapsto−7<x<4[/tex]
[tex] \boxed{\sf−7<x<4 }[/tex]
Graph attachedA hot air balloon is 200.6 feet above land. After 5 minutes, the parasail is at 120.8 feet above land. What is the change in height?
Answer:
-79.8
Step-by-step explanation:
The change can be found by subracting the ending distance from the beginning distance.
In this case, its 200.6-120.8= 79.8
It is negative because the distance in the end became lower than the beginning distance.
Hope this helps!
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
This is because of the law of indices which says:
[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]
So, if we have:
[tex]\sqrt{n}[/tex]
Then the following will be true because of this math law:
[tex]n^{\frac{1}{2} }[/tex]
Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A line passes through the point (-6, -2) and has a slope of -5/2
Answer: y = -5/2 -17
Step-by-step explanation: First put the equation in point slope form
Y-y1 = m(x-x1)
y + 2 = -5/2(x+6) then simplify to slope int. form
Y= mx + b
Y = -5/2x-17
Answer:
y = (-5/2)x - 17
Step-by-step explanation:
Slope Intercept Formula:y = mx + b
m = slope
b = y-intercept
Plugin Information:
y = mx + b
Slope = -5/2
y = (-5/2)x + b [tex]\longmapsto\\[/tex] Input x and y values from given point
-2 = (-5/2)-6 + b
Simplify, Solve for b:-2 = (-5 * -6)/(2) + b
-2 = 30/2 + b
-2 = 15 + b
b = -2 - 15
b = -17
Rewrite Equation:y = mx + b
m = -5/2
b = -17
y = (-5/2)x - 17
-Chetan K
-Chetan K
I need help answering this question!
9514 1404 393
Answer:
(x, y) = (-2, -4)
Step-by-step explanation:
A graphing calculator can provide excellent help with graphing. Apps and websites are available, if your calculator doesn't do that.
The two lines intersect at the solution point: (x, y) = (-2, -4).
What percent is 30 out of 75?
Answer:
40%
Step-by-step explanation:
add 6 and f, then add 10 to the result
Answer:
(6 + f) + 10
f + 16
A particle moves along the x-axis so that time t>0 the position is given by x(t)=0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1. What is the velocity of the particle at the first instance the particle is at the origin?
The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.
Since the particle is at the origin when x(t) = 0, we have:
[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]
Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.
Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).
Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):
v(t) = dx/dt
[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]
Now, we can find the velocity at t ≈ 2.944:
[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]
v(t ≈ 2.944) ≈ 16.885
So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
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NEED ANSWER FAST
REAL ANSWER ONLY
Solve for x
Answer:
I got -1/2
Step-by-step explanation:
regression and data analysis
Answer:..
Step-by-step explanation:..
What is the solution of 1/x+1/3<1/5 ?
Step-by-step explanation:
hope it helps thanks this is the answer
Identify the y-intercept of this line. b =
-
Answer:
b = 4
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
Here the line crosses the y- axis at b = 4
PLZ HELP!!!!
Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!
What are the values of a, b, and c? (3pts)
Does the parabola open up or down? How do you know? (2pts)
What is the maximum or minimum value? How do you know? (2pts)
What are the x-intercepts? (2pts)
What is the y-intercept? (1pt)
What is the vertex? (2pt)
9514 1404 393
Answer:
a) a=1, b=4, c=-5
b) opens up; a > 0
c) minimum = -9, the y-value of the vertex
d) x = -5, 1
e) y = -5, the value of c
f) (-2, -9)
Step-by-step explanation:
A graph drawn by a graphing calculator can answer all of these questions quickly and easily.
__
a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:
f(x) = ax^2 +bx +c
f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5
__
b) The parabola opens up. This is because the value of 'a' is greater than zero.
__
c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...
f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)
Your function can be put into this form:
f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square
f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).
The y-value of the vertex is -9, the minimum value of the function.
__
d) Solving f(x) = 0, you get ...
(x +2)^2 -9 = 0
(x +2)^2 = 9 . . . . . . . . add 9
x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2
x = -2 ±3 = {-5, 1} . . . . . the x-intercepts
__
e) The y-intercept is f(0) = c = -5.
__
f) The vertex was found in part (c) to be (-2, -9).
how to find the vertex of a parabola in quadratic form
Step-by-step explanation:
the formula is ax^2+bx+c
the vertex is (-b/2a)i^
find it and put it on function and the j^ of the vertex is found which is -delta/4a
If N R = 38, find N O.
Answer:
I might be wrong but atleast i can help.
The value of NO such that R is at the centroid of the triangle will be 57.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the b.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
As per the given triangle,
The R is centroid thus NR/RO = 2/1
As per the given NR = 38
38/RO = 2/1
RO = 38/2 = 19
Thus, NO = NR + RO = 38 + 19 = 57
Hence "The value of NO such that R is at the centroid of the triangle will be 57".
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Currently struggling with this question need help
Answer:
1638 cm, also please mark brainliest
ASAP I NEED HELP 26,244π cubic centimeters. Find the radius of the ball.
Answer:
r = 27 cm
Step-by-step explanation:
[tex]Volume \ of \ ball = \dfrac{4}{3}\pi r^{3}\\\\\\\dfrac{4}{3}\pi r^{3}= 26244\pi \\\\\\r^{3}=\dfrac{26244*\pi *3}{4*\pi }\\\\\\r^{3}= 6561*3\\\\r^{3} = 3*3*3*3*3*3*3*3*3\\\\\\r=\sqrt[3]{3*3*3*3*3*3*3*3*3}=3*3*3\\\\r = 27[/tex]
pleaseeeeeeeee helpppp needdd nowwww thanksss!!!
SOMEONE ACTUALLY HELP PLS??\
10, 10, 18, 18, 10, 5, 12, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
A certain circle can be represented by the
following equation.
2? + y2 - 182 + 204 + 177 = 0
What is the center of this circle?
What is the radius of this circle?
Answer:
let 2? be 2y
2y+y^2-563=0
2y+y^2=0+563
2y+y^2=563
3y^2\3=563\3
y=13.69
PLS HELP NOWWWWWWWWWWWW
Answer:
is no solution an answer choice cause thats what i got
Step-by-step explanation:
what is the value of a
6 15
-- = -------
22 a
Step-by-step explanation:
[tex] \frac{6}{22} = \frac{15}{a} [/tex]
[tex] \frac{3}{11} = \frac{15}{a} [/tex]
[tex]3a = 15 \times 11[/tex]
[tex]3a = 165[/tex]
[tex]a = \frac{165}{3} [/tex]
[tex]a = 55[/tex]
HELP PLSSSSSSS
Which function is differentiable for all values of x over the interval (-5,5)?
Answer:
1
Step-by-step explanation:
The function f(x)=e⁴⁻ˣ is differentiable for all values of x over the interval (-5,5)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
There are a few ways to tell- the easiest would be to graph it out- and ask yourself a few key questions
Function is continuous over the interval. If it is continuous it is probably differentiable
Does the function have any sharp turns in the interval. A sharp turn means it is not differentiable at that point and therefore not differentiable on the entire interval
f(x)=e⁴⁻ˣ is differentiable over (-5, 5)This is because the exponential function is continuous and infinitely differentiable
Hence, the function f(x)=e⁴⁻ˣ is differentiable for all values of x over the interval (-5,5)
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help!!!!!!!!!!!!
i will give a brainliest
Answer:
The answer is C
After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1992, the hay in that country was contaminated by a radioactive isotope (half-life 5 days). If it is safe to feed the hay to cows when 11% of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
Answer:
yes
Step-by-step explanation:
1. 4
3x–1 = 8
x+1
2. 3
2x–1 = 20
3. log7
(5x + 3) = 3
4. log(3x + 1) – log 4 = 2
5. log4
(x – 1) + log4
(3x – 1) = 2
x ≈ 1.86
x = 68
x = 133
x = 3
x =
5
3
Answer:
The farmer needs to wait at least 17 days or more for radioactive material to dissipate down to 11%.
Step-by-step explanation:
Hope this helps. . . <3
the speed s of a moving object is inversely proportional to the time t travelled is written as
Answer:
A r = kt
Step-by-step explanation:
There are 90 seats on a train. 63 of the seats are empty. What percentage of the seats on the train are empty?
Answer:
70%
Step-by-step explanation:
Find the product.
(23)(−98)(−45)(−1)
Enter the correct product in the box.
Answer:
-101,430
Step-by-step explanation:
23 x 98 x 45 x 1 equals 101,430, but the real trick of the question is whether it is positive or negative.
23(-98) forms a negative number (-2,254)
-2254(-45) forms a positive number (101,430)
101,430(-1) forms a negative number (-101,430)
Auto save in progress. Solve 10 - 2x = 3x 10 - 2x equals 3x
[tex]10 - 2x = 3x[/tex]
7. answer correct for brainliest
Answer:
4 7/20
Step-by-step explanation:
8 1/4 - 3 9/10
get a common denominator of 20
8 1/4 *5/5 - 3 9/10 *2/2
8 5/20 - 3 18/20
borrow 1 from the 8 in the form of 20/20
7 +20/20 + 5/20 - 3 18/20
7 25/20 - 3 18/20
4 7/20
Answer: 4.35
Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.
Felicia wants to keep her bill under $55. A cell phone provider charges Felicia $50 per month for her plan plus $0.05 per minute of long-distance calls. Which graph correctly shows the number of long-distance minutes Felicia can use this month?
Answer:
.05x+50=55
100 minutes
Step-by-step explanation:
simplify
.05x=5 (subtract 50 on both sides)
5/.05=x
100=x
she can call for 100 minutes