2^( - 1 ) × 4^( -1 ) =
2^( -1 ) × 2^( 2 × ( - 1) ) =
2^( - 1 ) × 2^( - 2 ) =
2^( - 1 - 2 ) =
2^( - 3 ) =
1/ 2^( 3 ) =
1/8
3X + 2 = 17 how do I show my work for this?
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
3x + 2 = 17
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 2 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Answer:
you subtract two both side, then divide three both side, you'll get x = 5.
Step-by-step explanation:
3x + 2 = 17
(3x + 2) -2 = (17) -2. First, you subtract 2 for both sides
3x = 15
(3x)/2 = (15)/2. Second, you divide 3 both side
x = 5. Last, you get your answer
find the zeros of f(x) = x^(4) - 3x^(3) - 4x^(2) + 18x - 12. Please show work!
Answer:
[tex]x_{1}[/tex] = - [tex]\sqrt{6}[/tex] , [tex]x_{2}[/tex] = 1 , [tex]x_{3}[/tex] = 2 , [tex]x_{4}[/tex] = [tex]\sqrt{6}[/tex]
Step-by-step explanation:
If y varies directly as x, which equation represents when x = 36 and y = 12?
Answer:
y=3x
Step-by-step explanation:
What are the coordinates of the foci of the conic section shown below?
Answer:
((y + 2) ^ 2)/25 - ((x - 3) ^ 2)/4 = 1 O A. ( (3, - 2 plus/minus sqrt(21)) B. (3, - 2 plus/minus sqrt(29)) O B. O c. D . (3 plus/minus sqrt(21), - 2); (3 plus/minus sqrt(29), - 2)
The foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
The hyperbolic equation is given as,
(y - k)² /a² - (x - h)² /b² = 1
Then the foci of the hyperbola are given as,
(h, k + c) and (h, k - c)
The equation of the hyperbola is given below.
(y + 2)² /25 - (x - 3)² / 4 = 1
Compare the equations, then we have
(h, k) = (3, -2)
a² = 25
b² = 4
Then the value of 'c' is given as,
c² = a² + b²
c² = 25 + 4
c² = 29
c = √29
Then the foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.
More about the hyperbola link is given below.
https://brainly.com/question/12919612
#SPJ2
A rectangular garden 800 square feet in area is to be fenced off against rodents. Find the dimensions that will require the least amount of fencing if one side of the garden is already protected by a barn.
Step-by-step explanation:
the area of a rectangle is
a × b
with a, b being the length and width (in any sequence).
a×b = 800
a = 800/b
the perimeter is
2a + 2b
one side is not needed, so we take one of them off. e.g. we take off one a.
a + 2b need to be a minimum
800/b + 2b
f(b) = 800/b + 2b
the extreme value(s) we find as the zero points of the first derivative.
f'(x) = -800/(b²) + 2 = 0
2 = 800/(b²)
2b² = 800
b² = 400
b = ±20 ft
negative lengths don't make sense, so, 20 ft is the solution.
a×b = 800
a×20 = 800
a = 40 ft
so, the minimum fencing is for
a = 40 ft
b = 20 ft (2 times)
the second a is covered by the barn.
Complete all the problems.
1.
X - 6 = -24
Solve for x.
Answer:
x= -18
Step-by-step explanation:
x= -24 + 6
Add -24 and 6.
x= -18
Answer:
X = -18
Step-by-step explanation:
You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.
1. Set up your equation
X - 6 = -24
+6 +6
2. Solve out
X - 6 = -24
+6 +6
X = -18
Answer: -18
Tom has a 490-page book to read. If he has already read 56 pages, how many more pages should he read each week
o finish in 6 weeks?
Write an equation for the situation and then answer the question.
If he has read 56 pages and there are a total of 490, then how many are left? That's 490 - 56 = 434.
To read 434 pages in 6 weeks, he should read 434 / 6 pages each week. That's 72 1/3 pages per week.
Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
y=8x + 2
(a) (0, ?)
(b) (3,?)
Answer:
(a) (0, 2)
(b) (3, 26)
Step-by-step explanation:
y = 8x + 2
(a) x = 0, y = 8(0) + 2 = 2
(b) x = 3, y = 8(3) + 2 = 24 + 2 = 26
Find the slope of a line passing through the given points.
(-4, 2) and (5,6)
slope =
Answer:
4/9
Step-by-step explanation:
To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.
The formula is (y²-y¹)/(x²-x¹).
So we just plug in the coordinates.
(6-2)/(5-(-4))
(6-2)/(5+4)
4/9
So the slope is 4/9
---
hope it helps
Suppose that, as course instructor, you decide instead that you want to calculate a 95% confidence interval for the population proportion of all Cal Poly students who have ever marched in a Memorial Day Parade, and that you would like the margin of error of your 95% confidence interval to be .05, and that you would like to use a (most) conservative sample size for this task. What sample size should you use
Answer: 385
Step-by-step explanation:
If prior population proportion p is unknown, then the formula to compute sample size will be:
[tex]n= 0.25(\frac{z^*}{E})^2[/tex]
where, E= Margin of error, z* = Critical zvalue
Given: E= 0.05
Critical value for 95% confidence = 1.96
Required sample size: [tex]n=0.25(\frac{1.96}{0.05})^2[/tex]
[tex]\\=384.16\approx385[/tex]
Hence, the required sample size = 385
What is the interquartile range of the data shown in box plot help for brainlist
Answer:
10
Step-by-step explanation:
subtract lower quartile (10) from upper quartile (20)
Un camion se desplazo de punto "a" al punto "b" quien a cambiado de posicion?
a) El camión
b) los hombres parados en la rampa
[tex] \huge \underbrace \mathfrak \red{Respuesta}[/tex]
a) Para The Man The Truck ha cambiado de posición.
b) Para el camión, el hombre parado en la rampa ha cambiado de posición.
[tex] \bold\green{Entonces\: la}[/tex] [tex]\underline\bold\red{opción \:A}[/tex] [tex] \bold\green{ es\: correcto}[/tex]
Espero que esto te ayude ❤️outside the court ard is 120 m“, find the width of the path.
A square garden has an area of 441 m². If the path of uniform width surrounding inside the
garden is 216 m², find the width of the path.
Answer:
Area of a square garden = 2, 500 m².
Length of the side of the garden = √2,500 = 50 m.
Width of the path = 2.5 m.
Path is inside the garden.
Width of the garden that is inside (enclosed) by the path:
50 - 2 * 2.5 = 45 m.
Length of the garden inside by the path : = 45 m.
So the area of garden inside the path = 45 * 45 m²
= 2, 025 m².
Area of the path = 2, 500 - 2, 025
= 475 m².
Cost of laying the path = Rs 25 /m² * 475 m²
= Rs 11, 875.
Step-by-step explanation:
What is the value of P
Answer:
Hello! answer: 42
Step-by-step explanation:
These are vertical angles meaning it will have the same measure so p = 42 hope that helps!
(-2,-3) (-1,2) write the equation in y=mx+b
Answer:
y = 5x + 7
Step-by-step explanation:
(-2, -3) & (-1, 2)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - (-3)) / (-1 - (-2))
Simplify the parentheses.
= (2 + 3) / (-1 + 2)
= (5) / (1)
Simplify the fraction.
5/1
= 5
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 5x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 5(-1) + b
To find b, multiply the slope and the input of x(-1)
2 = -5 + b
Now, add 5 to both sides to isolate b.
7 = b
Plug this into your standard equation.
y = 5x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -3).
y = 5x + 7
-3 = 5(-2) + 7
-3 = -10 + 7
-3 = -3
Your equation is correct.
Hope this helps!
Find the radian measure of 120 degrees.
Answer:
The radian :
[tex] \frac{2\pi}{3} [/tex]
% of 400,000 = 100,000
Answer:
25%
Step-by-step explanation:
100,000/400,000 x 100
= 1/4 x 100
= 25%
Hence, 100,000 is 25% of 400,000
Feel free to mark this as brainliest :D
Answer:
x/100 x 400,000 = 100,000
x100 x100
400,000x = 10,000,000
Divide by 400,000 on both sides:
X = 25%
What is the volume of the given cone ?
Answer:
235.619 is my answer since I have done V = (pi) radius squared and height/3
Step-by-step explanation:
At a concession stand, seven hot dog(s) and two hamburger(s) cost $15.25; two hot dog(s) and seven hamburger(s) cost $14.00. Find the cost of one hot dog and the cost of one hamburger.
Answer:
Burgers: $1.50
Hotdogs: $1.75
Equation Check:
(1.75x7) + (1.50x2) =
15.25
(1.75x2) + (1.50x7) =
14
Can i get help with some of these??
Answer:
1 no.SinA=24/25
SinB=7/25
CosA=7/25
CosB=24/25
TanA=24/7
TanB=7/24
2 no.SinA=35/37
SinB=12/37
CosA12/37
CosB=35/37
TanA=35/12
TanB=12/35
Step-by-step explanation:
What is the meaning of the abbreviation...
B.C.___________________.
A.D.____________________.
Answer:
Before Christ
Anno Domini (After death)
Find the sum of the geometric series if n = 5, r = 2, a = 3.
Answer:
hope it helps you see the attachment for further information
sorry but my phone couldn't captured r=2
A letter is randomly chosen from the word CANDLESTICK. Find the probability that
you chose an Nor S.
Answer:
The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.
Answer:
1 / 11
Step-by-step explanation:
there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.
Hope this helps ( :
34. find the square root of 298116 by
using long division method *
Answer:
hope it is helpfulto you
Answer:
Step-by-step explanation:
The answer is 546
solve for x. please help asap!
Answer:
x = 9.8
Step-by-step explanation:
Cos(16) = x / 10
Cos(16) * 10 = x
9.6 = x
Hope this helps!
Answer:
you are correct 9.6
Step-by-step explanation:
cos(16)=x/10 =9.61261695
Please solve fast. I will give Brainleist or whatever it’s called
Answer:
84in
Step-by-step explanation:
84in
What is the value of z in the equation 3z + 5 = 4z − 8?
1.−13
2. −1
3. 1
4. 13
Answer:
it would be 13
A controversial story comes out in the school newspaper. The number of students who have not heard about the story decreases at a rate that is proportional at any time to the number of students who have not heard the story at that time. There were 900 students who had not heard the story initially, and the number of students is divided by 3 every 4 days. How many students have not heard the story after 7 days? Round to the nearest student. students Stuck?
The bisector goes through photosynthesis causing the qordinates of the triangle to find the spectrum
Three baseball players are playing catch. Jessica is directly south of Aaron and directly west of Mike. Jessica and Mike are 8 meters apart and Mike and Aaron are 10 meters apart, How far apart are Jessica and Aaron?
Answer:
6 m
Step-by-step explanation:
The diagrammatic illustration of the problem. Is attached
The diaabcw between Aaron and Jessica can be obtained using Pythagoras :
d = √(10² - 8²)
d = √100 - 64
d = √36
d = 6
Which one is it?.....
Answer:
The answer is Rotation
enjoy your day hope this helps