Answers
Answer:
a)
\( log_{2}(5) - log_{2}(9) = log_{2}( \frac{5}{9} ) \)
b)
\( log_{7}(4) + log_{7}(3) = log_{7}(12) \)
c)
\( log_{2}(81) = 4 log_{2}(3) \)
The missing value in log₂81=xlog₂3 which makes the equations true is 4.
a) Given that, log₂5-log₂9
We know that, logₐm-logₐn=logₐ(m/n)
Here, log₂5-log₂9 = log₂(5/9)
b) Given that, log₇4+log₇x=log₇12
log₇x=log₇12-log₇4
log₇x=log₇(12/4)
log₇x=log₇3
So, log₇4+log₇3=log₇12
c) Given that, log₂81=xlog₂3
Here, log₂81=log₂3⁴
log₂81=4log₂3
Therefore, the missing value in log₂81=xlog₂3 which makes the equations true is 4.
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Related Questions
Half the sum of x and 7
Answers
The amount of a same le remaining after T days is giving by the equation p(f)=a(1/2) T/h
Answers
Answer:
6
Step-by-step explanation:
2x < 16
..................
Answers
Answer:
i dont really get the questionn but my most logical answer is any number below 8
Step-by-step explanation:
Answer: I’m not understanding very well. i can think of taking 16 divided by 2 to get x by itself. then it would become x<8
Step-by-step explanation:
Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone.
Answers
Answer:
Step-by-step explanation:
There are several possible outcomes. If your cross section is created by intersecting the cone with a plane parallel to the base of the cone, the cross section is a circle. If the plane is held vertical, the cross section could be a hyperbola. If the intersecting plane is neither vertical nor horizontal, the cross section could be an ellipse.
You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
Answers
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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simplify (y + 5 )-( y - 6)
Answers
Answer:
11
Step-by-step explanation:
(y+5)-(y-6)
y+5-y+6(opening the bracket)
5+6
11
Answer:
11
Step-by-step explanation:
(y+5) - (y-6) = y + 5 - y + 6 =
0y + 11 = 11
Remember, y - y = 1y - 1y = 0y or 0, and - (y-6) = -1 (y-6) = -y + 6
If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function
Answers
Answer:
The equation of the new function is \(g(x) = \frac{\sqrt{x}}{2}\)
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
\(f(x) = \sqrt{x}\)
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
\(\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}\)
The equation of the new function is \(g(x) = \frac{\sqrt{x}}{2}\)
10) Cynthia is shopping for a new camera. It costs $549.95. If she has a 15% off coupon and $500 saved up, how much will the camera cost if the sales tax is 8.25%? Will she have enough money to pay for her camera?
Percent:
Part/
Whole/
Percent:
Part/
Whole/
Answers
Answer:
$506.03
Step-by-step explanation:
15% off of $549.95 = $467.46
8.25 tax on $467.46 = $506.03
What digit is known to be in fron of a variable if
we do not see one?
its just the letter
0
Answers
Answer:
if we dont see a numer in front of a variable it is just 1
Step-by-step explanation:
so for example if you had x^2
it would be 1x^2
50 POINTS!! WILL MARK BRAINLIEST!!! Is ΔP'Q'R' a 180° rotation about the origin of ΔPQR? Use the drop-down menus to explain your answer.
Answers
Answer:
No that would be a 90 degree
Step-by-step explanation:
Hamlet the pig weighs 31
pounds. Given that there are
16 ounces per pound, how
many ounces does Hamlet
weigh?
Answers
Answer:
496
Step-by-step explanation:
1 pound = 16 ounces
31 pounds = 16(31)
⇒496 ounces
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
On a coordinate plane, a circle has center (0, 0) and radius 4. A parabola opens down and goes through (3, 0), has vertex (0, 2) and goes through (negative 3, 0). Everything above the parabola and inside of the circle is shaded. Which system has the solution set shown? x squared + y squared greater-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2 x squared + y squared greater-than-or-equal-to 16 and y less-than-or-equal-to negative one-fourth x squared + 2 x squared + y squared less-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2 x squared + y squared less-than-or-equal-to 16 and y less-than-or-equal-to negative one-fourth x squared + 2
Answers
The inequality system that has the solution set shown will be C. x squared + y squared less-than-or-equal-to 16 and y greater-than-or-equal-to negative one-fourth x squared + 2.
How to illustrate the information?It should be noted that inequalities are simply used to compare two expressions that are unequal.
It can be seen that the solution set that's illustrated is:
x² + y² <= 16
-1/4x² + 2 <= y
Therefore, the inequality system that has the solution set shown will be option C.
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which describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
Answers
Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
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In Yakuna it was -13 degrees in the morning. The highest tempature was 29. Was was the total number the temp. increased
Answers
Answer:
42 degrees
Step-by-step explanation:
Use a number line.
-13 - 13 = 0.
Now, we are at the base, 0. Then, add 29.
13 + 29 + 42.
The answer is 42. Hope it helps!
True or false? Integers also whole numbers
Answers
Answer:
True. Hope this helps
Given m∥n, find the value of x.
Answers
Answer:
30°
Step-by-step explanation:
They are alternate interior angles, so they are equal.
30°
During summer, the height of the water in Scott's pool decreases by 4 inches each week, due to evaporation. How many weeks does it take for the water to decrease by 20 inches?
Responses
A −5
B 5
C 20
D −20
Answers
Answer:
5 weeks
Step-by-step explanation:
20 inches / ( 4 inches/week ) = 5 weeks
Which equation is represented by the graph below?
A. Y= 1/8e^x
B. Y= 1/2e^x
c. Y=2e^x
D. Y= 8e^x
#49
Answers
Answer:
B
Step-by-step explanation:
When x = 1, it appears y is in between 1 and 2.
The only choice that satisfies this is B.
Answer:
The equation that represents the graph is y=2e^x
Step-by-step explanation:
plug in geogebra and confirm:D
Vectors x and y have lengths 18 and 24 respectively, and the cosine of the angle between them is StartFraction 5 Over 9 EndFraction. Find the scalar projection of x onto y and their dot product.
Answer:
xy = 10
x · y = 240
Answers
xy = 10
x · y = 240
It is indeed correct on Edge 2021
Answer:
10
240
Step-by-step explanation:
Edge 2021
HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answers
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?
A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30
Answers
Answer:
D). 0.1x+99=149.30
How many songs Tyna Bought:
503 songs
Step-by-step explanation:
Since the membership fee is 99 you don't have to pay for it again
(Until next year that is)
Now it states that every download cost 10 cents or $0.1
So we don't know how many she will buy so we can replace that unknown value with x
So the equation is
0.1x+99=149.30
To solve this you first subtract 99 on both sides:
Which will result in
0.1x=50.3
Divide 0.1 on both sides
So Tyna bought 503 songs
(HOLY THAT IS A LOT OF SONGS)
Hope this Helps!
Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answers
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
Answers
Answer:
Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)
Step-by-step explanation:
XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD
Divide. Round your answer to the nearest hundredth.
Answers
Answer:
18276.92
Step-by-step explanation:
5940/0.325 = 18276.92
Given the graph, find the initial value of the domain [ ___, 2].
![Given the graph, find the initial value of the domain [ ___, 2].](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5FOoB6eJbEoXfJz36Qixo1pw5DuYgpto.png)
Answers
According to the graph given, and using it's concept, it is found that the initial value of the domain is of 0.
The domain of a function is the set that contains all possible input values.
In a graph, it is represented by the values of x, which is the horizontal axis.In the graph given in this problem, the function is defined for x between 0 and 2, that is, the domain is [0,2], hence, the initial value of the domain is of 0.
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Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answers
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
The value of a house is increasing by $2500 per year. If it is worth $190,000 today, what will it be worth in four years?
Answers
Answer:
5000
Step-by-step explanation:
i dont know this answer but i try that
i need help on this question
Answers
Answer:
8 feet
Step-by-step explanation:
Filling the given numbers into the hint, we find ...
C = 2πr
50.24 = 2(3.14)r
r = 50.24/6.28 = 8 . . . . . . . divide by the coefficient of r
The radius is 8 feet.
SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)
Answers
Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
GIVEN :-
∠QPS = 180°∠QPR = 7x + 88∠RPS = 3x + 12TO FIND :-
Value of xMeasure of ∠RPSFACTS TO KNOW BEFORE SOLVING :-
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
PROCEDURE :-
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°