Answer:
The simplified form of the expression is (16)⁴ or 65536
Step-by-step explanation:
The given expression to us is:
(1/16)⁻⁴
As the options given in this question are not clear enough, I'll just simpify the expression which you can compare with the given options in the question and find the best option as an answer.
We know that a negative power of number can be converted into a positive one by taking the reciprocal of that number.
It can be written as:
(16)⁴
which can be further simplified to:
65536
Answer: the answer is B
Step-by-step explanation:
16^4
Using coordinates of the labeled points to find a point slope equation of the line
Answer:
y +4= -3 ( x-3)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
The point requested is (3,-4)
y - -4= m ( x-3)
y +4= m ( x-3)
The slope of the line is positive since it goes from the top left to the bottom right
The slope can be found from (0,5) and (3,-4)
m = (y2-y1)/(x2-x1)
= (5 - -4)/(0-3)
= (5+4)/(0-3)
= 9/-3
= -3
y +4= -3 ( x-3)
The slope in all answer choices is 3 or -3.
Since the line is going down, the slope is going to be negative (-3).
Point slope form: y - y1 = m(x - x2)
We are given a point in the question so use it to fill in the equation.
y + 4 = -3(x - 3)
Best of Luck!
Determine the domain of the function 9x/x(x^2-36)
Answer:
{ x ≠ ±6 ∪ x ≠ ± 6}
Step-by-step explanation:
x cannot be zero even though x can be cancelled in this expression. Furthermore, x^2 - 36 cannot be zero, and thus x ≠ ±6.
Domain is { x ≠ ±6 ∪ x ≠ ± 6}
What percent of 1/2 is 1/4? (Round to the nearest whole percent.)
Answer:25
Step-by-step explanation:
Ian has a bank account that earns interest. The value, V, in dollars, of Ian's account after T years can be modeled by the exponential function V(t)=5000(1.025)t.
Ian claims that the value of his bank account grows by an equal factor each year. To prove his claim, which equation must he show to be true?
a) V(t+1)−V(t)=1.025
b) V(t)−V(t+1)=1.025
c) V(t+1)V(t)=1.025
d) V(t)V(t+1)=1.025
Answer:
the correct answer is a one
The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
Calculation of an equationSince The value, V, in dollars, of Ian's account after T years could be modeled via the exponential function V(t)=5000(1.025)t. So for claiming that the value of the bank account should be grown at the equal factor at each year so fir this, the option b is considered.
Therefore, The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
learn more about years here: https://brainly.com/question/20292718
2 Points
What are the zeros of f(x) = x2 - 8x+16?
A. x=-4 and x = 4
B. x= -2 and x = 8
C. X= 4 only
D. x= -4 only
Answer:
C
x²-8x+16
=(x-4)²
(x-4)²=0
x-4=0
x=4
Solve the system. 2(y - x) = 5 + 2x 2(y + x) = 5 - 2y A) ( 1 2 , 3 2 ) B) (−2, 2 3 ) C) (− 1 2 , 3 2 ) D) ( 1 2 , − 3 2 )
Answer: C) [tex](-\dfrac{1}{2},\dfrac{3}{2})[/tex]
Step-by-step explanation:
The given system of equations :
[tex]2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)[/tex]
Simplify left side, we get
[tex]2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)[/tex]
Multiplying 2 on equation (iii), we get
[tex]4y-8x=10\ \ ...(v)[/tex]
Subtracting (v) from (iv) , we get
[tex]2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}[/tex]
Put value of [tex]x=-\dfrac{1}{2}[/tex] in (v), we get
[tex]4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
hence, the solution to the system is [tex](x,y)=(-\dfrac{1}{2},\dfrac{3}{2})[/tex]
Help me please it’s important
Answer:
B: 5 + 4x < 24
Step-by-step explanation:
Answer:
The answer is B) 4x+5 < 24
Trevor is building a deck. He has enough wood to build a 15 ft2 deck. Trevor wants
the deck to be 2 ft longer than it is wide. He sets up the following equations to
help him determine the dimensions of the deck.
x(x + 2) =15
x + 2x -15 =0
where xis the width of the deck in feet.
How wide should Trevor make his deck? To solve for x, first factor the
left side of the equation. Note: The width of the deck must be positive.
Ignore negative values for x.
Answer:
The deck width is 3
Step-by-step explanation:
Your
x(x + 2) =15
x + 2x -15 =0
should be:
x(x + 2) =15
x^2 + 2x -15 =0.
Factoring this, we get
x^2 + 2x -15 =0 = (x + 5)(x - 3) = 0,
which yields: x = 3 and x = -5. As the problem states, we discard the negative root and focus on the positive one (x = 3).
The deck width is 3 and the length is (3 + 2), or 5.
One pump can fill a reservoir in 60 hours. Another pump can fill the same reservoir in 80 hours. a third can empty the reservoir in 90 hours. If all three pumps are operating at the same time, how long will it take to fill the reservoir?
one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
Answer:
1/time needed = 1/time of 1st pump + 1/time of 2nd pump - 1/time of 3rd pump
1/t = 1/t1 + 1/t2 - 1/t3
1/t = 1/60 + 1/80 - 1/90
1/t = 12/720 + 9/720 - 8/720
1/t = 13/720
t = 720/13 hours = 55.38 hours = 55 hours 23 minutes
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if
m∠A = α, m∠B = β
Answer: ∠ABD = [tex]\bold{\frac{1}{2}}[/tex]∠C
Step-by-step explanation:
[tex]\angle A + \angle B + \angle C = 180^o\\\\\dfrac{1}{2}\angle A+\dfrac{1}{2}\angle B+\angle D=180^o\\\\\\\text{Solve the system by multiplying the second equation by -2}\\\angle A + \angle B + \angle C = 180^o\\\underline{-\angle A - \angle B - 2\angle D = -180^o}\\.\qquad \qquad \quad \angle C-2\angle D=0\\.\qquad \qquad \qquad \qquad \angle C=2\angle D\\.\qquad \qquad \qquad \quad \dfrac{1}{2}\angle C=\quad \angle D\\[/tex]
I need some help plz!!!
Answer:
an = a+4n-4
Step-by-step explanation:
please asap thanks :D
Answer:
f, g, and h only
Step-by-step explanation:
The letters are the variables.
Jerome was curious if \triangle ABC△ABCtriangle, A, B, C was congruent to \triangle FED△FEDtriangle, F, E, D, so he tried to map one triangle onto the other using transformations: Jerome concluded: "It's not possible to map \triangle ABC△ABCtriangle, A, B, C onto \triangle FED△FEDtriangle, F, E, D using a sequence of rigid transformations, so the triangles are not congruent." What error did Jerome make in his conclusion?\
Answer: C
Step-by-step explanation: I just did it on Khan Academy.
Answer:
C
Step-by-step explanation:
I got it correct on Khan.
Which of the following is a geometric sequence?
1,2,4,8,16....
-3,1,5,9...
4,8,24,96,480,...
O-5,0,10,25,45,...
Answer:
1, 2, 4, 8, 16...
Step-by-step explanation:
To be a geometric sequence there must be a common ratio which basically means the number you multiply a term by to get the next one, and the common ratio must be the same between all terms. The only sequence that follows this is the first one.
Answer:
Step-by-step explanation:
Each term of a geometric sequence is a multiple of the previous term. For example, if the first term is 2 and the common ratio is 3, then the next term is 6; the next term is 18. And so on.
1,2,4,8,16.... fits this pattern. The first term is 1 and each succeeding term is 2 times the previous term: 1*2 = 2; 2*2 = 4; 4*2 = 8, and so on.
A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of the following steps can be used to eliminate the a term? −1(4a + 2b = 19) −4(4a + 2b = 19) −4(a + b = 6) 4(a + b = 6)
Answer:
[tex]-4(a + b = 6)[/tex]
Step-by-step explanation:
Given
[tex]a + b = 6[/tex]
[tex]4a + 2b = 19[/tex]
Required
Eliminate a
Multiply the first equation by -4
[tex]-4(a + b = 6)[/tex]
Add to the second equation
[tex]-4(a + b = 6) + (4a + 2b = 19)[/tex]
Solve brackets
[tex](-4a -4b = -24) + (4a + 2b = 19)[/tex]
Open bracket
[tex]-4a + 4a -4b + 2b = -24 + 19[/tex]
[tex]-4b + 2b = -24 + 19[/tex]
At this point, a has been eliminated;
From the list of given options, the option that answers the question is [tex]-4(a + b = 6)[/tex]
Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A
containing 120 pieces of candy, one bag of candy B containing 440 pieces of candy, and one bag of candy C containing
520 pieces of candy. She needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so
that each one has the same number and variety of candy? How many of each type of candy will be in each bag?
Answer: Bonnie can make 40 treat bags. Each treat bag has three pieces of Candy A, 11 pieces of Candy B, and 13 pieces of Candy C.
Step-by-step explanation:
Since there's no number of student's in her child's class, I did this:
I found the common factors of 120, 440, and 520. And found out that the GCF (greatest common factor) is 40.
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
After finding out that the GCF is 40, I took the numbers 120, 440, and 520, and divided them by 40.
120 divided by 40 = 3
440 divided by 40 = 11
520 divided by 40 = 13
Therefore Bonnie can make 40 treats bags with no candy pieces left behind.
Which of the following is the equation of a line perpendicular to the line y =
- 10x + 1. passing through the point (5.7)?
Answer:
y - 7 = (1/10)(x - 5)
Step-by-step explanation:
Next time please share the possible answers. Thank you.
Any line perpendicular to y = -10x + 1 has the slope +1/10, which is the negative reciprocal of -10.
Using the point-slope formula, we get:
y - 7 = (1/10)(x - 5)
What is the slant height of the pyramid to the nearest 10th
15.5mm
13.9mm
12.5mm
19.0mm
the solution of the pair of linear equation: 2x+3y=6 and 3x-5y=2 are.............
Step-by-step explanation:
just simplify the above equation and substitute in the second one.
Answer:
Step-by-step explanation:
2x+3y=6 -----1
3x-5y=2-----2
solving by elimination method,
multiply eq1 with3
multiply eq2 with2
you will get,
6x+9y=18----3
6x-10y=4----4
eq3-eq4=
19y=14
y=14/19------5
substitute eq 5 in eq 1
you will get,
x=50/19...
hope it helps...pls mark brainliest if it does...
Write the equation of the line, in standard form, that passes through the points (-2, 2) and (4, 5). Show all work for credit.
Answer:
x - 2y + 6 = 0
Step-by-step explanation:
Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3. Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.
Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get
2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3. Then the slope-intercept form of the desired equation is y = (1/2)x + 3. To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or
x - 2y + 6 = 0
Based on slope, how do you know when two lines are perpendicular? A. The slope of one line must be equal to reciprocal of the other for the two to be perpendicular. B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular. C. If the slopes of the 2 lines are equal, then they are perpendicular. D. The slope of one line must be the negative of the other slope for the two to be perpendicular.
Answer:
B
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means they have opposite signs (negative) and their numerators and denominators are switched ( reciprocal).
For example, these slopes are perpendicular:
3/2 and -2/3
(3/2--negate--> -3/2---> reciprocal--> -2/3)
Therefore, the answer is B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular.
Sammy incorrectly solves the equation 1 /3(x+9)=8. Her work is shown below. a. Which step shows an error based on the equation only from the previous step? Select all that apply. A Step 1: 1/3x + 9 = 8 B Step 2: 1/3x = 8 + 9 C Step 3: 1/3x = 17 D Step 4: x = 17 / 3 E Step 5: x = 5 2/3
Answer:
15
Step-by-step explanation:
Answer:
First step is incorrect
Step-by-step explanation:
Just from the very first step Sammy got an incorrect distributive property performed. The factor 1/3 should multiply both terms of the binomial in parenthesis: "x", and also "9", rendering 1/3 x + 3
Match the pairs of variables with the type of relationship they show. the number of high school seniors and high school graduates the amount of snowfall and the number of voters the number of doctors and the number of nurses correlation without causation correlation with causation
Answer: Correlation without causation.
Correlation with causation: the number of high school seniors and high school graduates
Step-by-step explanation:
Correlation is a term that tells there is a relationship between two quantities.
Causation is a relationship where one quantity is affected by the other.
The number of graduates completely depends on the number of high school seniors.
So, the relationship between the number of high school seniors and high school graduates is a causation.
There is no relation between the amount of snowfall and the number of voters.
The number of nurses depends on the number of doctors but not completely.
It may be possible that the number of nurses will not increase with an increase in the number of doctors in a particular hospital.
So, there is a correlation without causation between the number of doctors and the number of nurses.
Answer:
correlation without causation is the number of doctors
and the number of nurses
correlation with causation is the number of high school seniors
and high school graduates
Step-by-step explanation:
plato
Rewrite without parentheses. (3y^5z^4-7y^3)(-5yz^6) simplify your answer as much as possible.
Answer:
-15y^6z^{10}+35y^4z^6
Step-by-step explanation:
used an equation calculator
Please help me find the missing length of the triangle in the attached image. Thanks!
Answer:
? = 21
Step-by-step explanation:
Parallel lines cut off proportional segments on transversals.
27/? = 18/14
18 * ? = 27 * 14
2 * ? = 3 * 14
? = 3 * 7
? = 21
Answer:
21
Step-by-step explanation:
PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
Hey there! :)
Answer:
y = 0, also known as the x-axis.
Step-by-step explanation:
The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.
There is an asymptote at y = 0, or the x-axis because:
[tex]\frac{2}{3} ^{x}\neq 0[/tex]
An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.
Click on the following figure to show the reflection about m. A, B, C, D? 1st pic A, 2nd pic B, and so on
Answer:
c
Step-by-step explanation:
the third picture shows symmetry and equality
Answer:
It's the third picture.
Step-by-step explanation:
This shows the reflection in m.
PLEASE HELP!!!!!! the sum of a number times 10 and 15 is at most -17
Let the number = x
Writing the equation you have:
10x + 15 <= -17
Solve for x
Subtract 15 from both sides:
10x <= -32
Divide both sides by 10:
X <= -32/10
Simplify:
X <= -16/5 as a fraction or -3.2 as a decimal
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term in the parabola's equation?
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8