Answers
[tex]2^{a-3} = b-4[/tex]
[tex]log_2(b-4) = a-3[/tex]
[tex]log_2(b-4) +3 = a[/tex]
This eliminates the second option because there is only 1 possible value for a.
The 4th option is also correct because it's saying:
[tex]log_2(b-4) = a-3[/tex]
Now, just by pure logic, you can tell that to solve for b, you have to use option 3 because Option 5 has already been used to solve for a.
So, your answers are: #1, #3, and #4.
Related Questions
Write the polynomial −11x^3 − 2 − 9x^5 − 4x^2 − 6x^4 − 14x in standard form. Then give the leading coefficient. HELP ASAP!
Answers
− 9x^5− 6x^4 −11x^3− 4x^2− 14x − 2
the leading coefficient refers to the coefficient of the highest degree, which is -9 in this case.
Writing a polynomial is standard form means arranging them accordingly, in descending power form:
-11x³ - 2 - 9x⁵ - 4x² - 6x⁴ - 14x
The highest power is 5, now we should arrange in decreasing manner
-9x⁵ - 6x⁴ - 11x³ - 4x² - 14x - 2
The leading coefficient is -9
find the circumferences
Answers
so... notice, the larger green circle, has a radius of 22.
now, the blue smaller circle, is taking up half of the diameter of the green one, so, the diameter for the small one is 22, and its radius is half that, or 11.
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\\\\ -------------------------------\\\\ \stackrel{\textit{large green circle}}{C=2\cdot \pi \cdot 22}\implies C=44\pi \qquad\qquad \qquad \stackrel{\textit{small blue circle}}{C=2\cdot \pi \cdot 11}\implies C=22\pi [/tex]
My teacher says everything is there to answer this question but I don't know. Someone please explain.
Two travellers spend from 12 o'clock to 6 o'clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.
How far do they walk and at what time do they reach the top of the hill?
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A level mile takes 1/4 of an hour (15 minutes). An uphill mile takes 1/3 of an hour (20 minutes). A downhill mile takes 1/6 of an hour (10 minutes). So, to go and return over the same mile takes half an hour. This means that in 6 hours, they went 12 miles and came 12 miles back. So they went a total of 24 hours.
If the 12 miles had been all level, it would have taken approximately 3 hours. It the 12 miles had been all uphill, it would have taken approximately 4 hours. When reaching the peak, 3.5 hours would have been the approximate time it took them to reach the top since it is in between.
Ann buys a dress in a sale. The normal price of the dress is reduced by 20%. The normal price is £36.80. Work out the sale price!
Also explain how you calculated it ...
Answers
Let's do this step by step!
#1
"Reducing" means to make something smaller, like a discount. So we are reducing the price of the dress by 20%. This means we must first find what 20% of the dress's price is and then subtract that from the price.
#2
36.80 * 20% = 7.36
So, 20% of 36.80 is 7.36. Subtract that:
#3
36.80 - 7.36 = 29.44
Answer:
The sale price of the dress is $29.44.
Good day!
if a and b are independent events then it must be true that P(A|B)=P(A) TRUE OR FALE
Answers
Because two events A and B are called independent if P(A|B)= P(A), i.e., if conditioning on one does not effect the probability of the other.
30 POINTS + BRAINLIEST.. PLEASE CHECK MY ANSWER
Answers
Good job!
Answer:
you are correct good job
Patrick is constructing the circumscribed circle for △RST.
Which construction could be his first step?
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Construct the angle bisector of ∠T .
Construct a copy of ∠S that is adjacent to ∠R .
Construct the angle bisector of ∠R .
Answers
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Hope this helps !
Photon
The first step Patrick will take in the construction of a circumscribed circle for △RST is: Construct the perpendicular bisector of line segment ST.
What is a Circumscribed Circle of a Triangle?A circumscribed circle for a triangle can be defined as a circle is placed inside a polygon or triangle such that it touches all the sides of the triangle.
An example of a circumscribed circle of a triangle is shown in the image attached below.
Therefore, the first step Patrick will take in the construction of a circumscribed circle for △RST is: Construct the perpendicular bisector of line segment ST.
Learn more about circumscribed circle on:
https://brainly.com/question/15605172
Using the fafsa, you can apply for
Answers
FAFSA stands for Free Application for Federal Student Aid. it is used to apply for student loans, grants, and scholarships sometimes.
if a sample of 21 runners were taken from a population of 580 runners, μ could refer to the mean of how many runners times?
Answers
Answer:
the answers is 580
Can someone explain to me how this problem is solved? Thanks.
The height of a coconut falling from a tree is represented by the function h(t)=-16t^2+24 where h(t) is the height of the coconut, in feet, and t is time, in seconds
what is the initial height, in feet, of the coconut?
Answers
h(0)=-16(0)^2+24 = 24 feet. Therefore, the initial height of the coconut is 24 feet
PLEASE HELP
Use the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation.
[tex]y=log_{2}x[/tex]
WILL MARK AS BRAINLIEST
Answers
- for x=[tex] \frac{1}{2} [/tex], [tex]log x_{2} ( \frac{1}{2} )=-1[/tex]. Now we have our first ordered pair: [tex]( \frac{1}{2} ,-1)[/tex]
- for [tex]x=1[/tex], [tex]log_{2} (1)=0[/tex] which gives us our next ordered pair: [tex](1,0)[/tex]
- for x=2, [tex]log_{2} (2)=1[/tex], so (2,1)
- for x=4, [tex]log_{2} (4)=2[/tex], so (4,2)
- for x=8, [tex]log_{2} (8)=3[/tex], so our last order pair is (8,3)
Finally we can plug the points and joint them to create our graph:
Answer:
Warning the guy above is correct just make sure you count each line as 1,2,4,8. On the graph if you count the bold big lines for the domain you will run out of room for the last domain for 8. Like the person above did.
Step-by-step explanation:
A homeowner has 60 feet of fencing material to enclose a rectangular area for his pets to play in. One side of the house will be used as a side of the play area. What deminsions should be used in order to maximize the play area?
Answers
2x+l=60
⇒l=60-2x
The area of the house will therefore be:
A=length*width
A=x(60-2x)
A=60x-2x²
differentiating A w.r.t x we get
dA/dx=60-4x
equating the above to zero and solving for x we get
60-4x=0
hence
4x=60
⇒x=60/4
x=15
this implies that one of the sides of the area is 15 ft and the other is 30 ft
Answer:
i just want to say that the answer above is correct 15 ft by 30 ft is the write answer
Step-by-step explanation:
i just took my test and got it right
which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
Answers
Answer:
A)29 and B) 21,
Step-by-step explanation:
First,in the sequence[tex]a_n=4n-7[/tex] , the parameter [tex]n[/tex] must to be a integer.
Second, we need to solve the equations by [tex]n[/tex].
[tex]n=(a_n+7)/4[/tex]
All the option in the problem represent an [tex]a_n[/tex]
Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.
For A)
[tex]n=(29+7)/4=9\\[/tex]
For B)
[tex]n=(21+7)/4=7\\[/tex]
For C)
[tex]n=(20+7)/4=6.75\\[/tex]
For D)
[tex]n=(28+7)/4=8.75\\[/tex]
Only A) and B) only A and B meet the requirement
what is the sum of (5xy + x - 8) and (13x + 2)
Answers
Combine like terms
5xy+14x-6
Look at the picture below // 99 points // PLEASEE HELPP
Answers
The polygon won't change shape or size, just its position.
Please mark Brainliest!
-Belle
How was his payment
Answers
So he'll pay 630 over 8 equal payments
Divide: 630/8 = 78.75
His monthly payment is $78.75
Dylan works 30 hours a week. His hours are decreased by 20%. How many hours does he now work each week?
Answers
Answer:
He now work 24 hours each week
Step-by-step explanation:
Dylan works 30 hours a week. His hours are decreased by 20%.
The number of work hours 30 is decreased by 20%
we need to find 20% of 30
[tex]30 \cdot \frac{20}{100} =6[/tex]
So number of hours should be decreased by 6
[tex]30-6= 24[/tex]
he now work 24 hours each week
A polygon has 8 sides. What is the sum of its interior angles? use formula
s = ( n - 2 ) (180°)
A. 1260°
B. 720°
C. 1620°
D. 1080°
Correct answer will be rewarded with full points as well as the mark of the brainliest
Answers
.. s = (8 -2)(180°)
.. s = 1080°
Selection D is appropriate.
_____
Put the number into the formula where the corresponding variable is, then do the arithmetic. A calculator can do the arithmetic for you, if necessary.
I will go to the mall if and only if I get paid today.
Determine the conditions that will make the biconditional true.
A. It is true if I go to the mall and I get paid. It is true if I go to the mall and I don’t get paid.
B. It is true if I go to the mall and I get paid. It is true if I don’t go to the mall and I don’t get paid.
C. It is true if I go to the mall and I don’t get paid. It is true if I don’t go to the mall and I don’t get paid.
D. It is true if I go to the mall and I get paid. It is true if I don’t go to the mall and I get paid.
Answers
Final answer:
The correct answer is Option B, covering both true-true and false-false scenarios.
Explanation:
To determine the conditions that make the biconditional statement true, let's analyze it step by step. The statement in question is: "I will go to the mall if and only if I get paid today." A biconditional statement is true in two scenarios: both parts are true or both parts are false.
Looking at the options provided:
Option A is incorrect because if the statement is true, I cannot go to the mall without getting paid.Option B is correct because it encompasses both scenarios where the biconditional statement holds true: If I go to the mall, then I must have gotten paid, and if I don’t go to the mall, then I must not have gotten paid.Option C is incorrect because according to the biconditional, I cannot go to the mall unless I have been paid.Option D is incorrect because if I don’t go to the mall, it must mean that I didn't get paid, which is not covered in this option.Therefore, the correct answer is Option B: It is true if I go to the mall and I get paid today. It is also true if I don't go to the mall and I don't get paid today. This matches the requirements of a biconditional statement where either both conditions are true or both are false.
The graph of the function g(x) is shown on the coordinate plane below. For what value of x does g(x)=0
Answers
:)
:)
Answer:
the answer is 6 on algebra nation
Step-by-step explanation:
help:
quadrilateral ABCD is located at A(-2,2) B(-2,4) G(2,4) D(2,2). the quadrilateral is then transformed using the rule (x+2,y-3) to form the image A'B'C'D'. what are the new coordinates of of A'B'C'D'? describe what characteristics you would find if the corresponding vertices were connected with line segments.
Answers
In order to find the new coordinates, you need to take the given x and add 2 and the given y and subtract 3.
Therefore:
A' (-2+2 , 2-3) --> (0,-1)
B' (-2+2 , 4-3) --> (0,1)
C' (2+2 , 4-3) --> (4,1)
D' (2+2, 2-3) --> (4,-1)
Since the quadrilaterals ABCD and A'B'C'D' are rectangles, connecting the corresponding vertices would give you a parallelepiped, which means that AA', BB', CC', DD' are parallel and congruent segments.
A company's advertising budget is split between newspaper ads, magazine ads, television ads, and Internet ads. The company spends the same amount of money on newspaper and magazine ads. It spends 4 times the amount of money on television ads as it does on newspaper ads. It spends 2 times the amount of money on Internet ads as newspaper ads. If the budget is $22,000, how much money is spent on magazine ads?
Answers
2,750+2750=(2750x4)+(2750x2)=22,000
Answer:
2,750+2750=
2750 x 4+2750 x 2=
22,000
Step-by-step explanation:
Determine whether the equation defines y as a function of x. y = 2x + 8
Answers
y = 2x + 8
for x=1-----------> y=2*1+8=10
for x=2-----------> y=2*2+8=12
for x=3-----------> y=2*3+8=14
.
.
.
the equation y = 2x + 8 ----------- > defines y as a function of x, because for each x there is only one value of y.
the answer is
yes, the equation y = 2x + 8 defines y as a function of x
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?
Answers
y = -6(x^2 - 0.5x) + 2
y = -6[ (x - 0.25)^2 - 0.0625] + 2
y = -6(x - 0.25)^2 + 2.375 Answer
Answer:
c
Step-by-step explanation:
describe the transformation of the following function y=tan(2x-pi)
Answers
[tex]\bf \bullet \textit{ horizontal shift by }\frac{C}{B}\\ ~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)[/tex]
with that template in mind, let's check this one,
[tex]\bf y=tan(\stackrel{B}{2}x\stackrel{C}{-\pi })\\\\ -------------------------------\\\\ \textit{horizontal shift of }\cfrac{C}{B}\implies \cfrac{-\pi }{2},\textit{ so of }\frac{\pi }{2}\textit{ to the right} \\\\\\ \textit{horizontal shrinkage of }B\implies 2, \textit{so by }\frac{1}{2}[/tex]
if xy=c^2, prove that x^2 dx/dy+c^2=0
Answers
xy=c²==>y=c²/x
==>y'=dy/dx=-c²/x²==>x² dy/dx+c²=0 (there is a mistake)
Please guys help me with this question!
Answers
twelve inches longer than width
Answers
w+12
*longer indicates addition
this property says that xa divided by xb equals xa-b
Answers
Answer: Quotient rule of division
Explanation:
In this question, a & b are the exponent of the x.
We know that division is the opposite operation of the multiplication.
Quotient rule division: We subtract the exponent (power) when we dividing the numbers with same base..
Here same base means numerator (top) and denominator (bottom) contain same number and exponent (power) of both numerator and denominator are same or different.
For example: [tex] \frac{5x^{8}}{5x^{6}} [/tex]
Here base 5 is same and exponent are different.
It is same as 5⁸⁻⁶ = 5³ = 125
Now given that,
[tex] \frac{x^{a}}{x^{b}} [/tex] = [tex] x^{a-b} [/tex]
A land mass is roughly in the shape of a rectangle whose perimeter is 1180 miles. the width is 110 miles less than the length. find the length and the width?
Answers
Explanation:
1) Shape: rectangle
2) dimensions:
length = l
width = w
3) Formula of the perimeter of a rectangle, p = 2 * l + 2 * w
4) Data:
p = 1180 miles
length = x
width = x - 110 miles
5) Equation: p = 2x + 2(x - 110)
2x + 2(x - 110) = 1180
2x + 2x - 220 = 1180
4x = 1180 + 220
4x = 1400
x = 1400 / 4
x = 350
=> length = 350
and width = 350 - 110 = 240
6) Verification:
p = 2*length + 2 * width
1180 = 2 * 350 + 2*240
1180 = 700 + 480
1180 = 1180 => check.
Answer: length = 350 miles, widht = 240 miles