Answers
The logarithmic property of base change says that
loga (b) = logc (b) / logc (a)
Therefore the same property applies to this problem and the correct expression for this question is:
logb (x) / logb (a)
Related Questions
plzzzz help!!!!!!!!!!!!!
Answers
Answer:
x + 2 is in both the numerator and the denominator, so the correct answer is A.
rachel uses grid paper to plan a mural to paint at her school. the design will be made of two connected rectangles. the larger rectangle will have an area between 35 square feet and 45 square feet. the smaller rectanglewill have an area between 10 square feet and 20 square feet. Draw and label a diagram to show what Rachel could plan. Explain how to find the total area.
Answers
To find the total area, you add these areas together. In math when you put two things together like in the picture, this is showing addition.
The total area represented is 50 ft.².
write an expression that represent the sum of r and 7
Answers
Final answer:
The expression that represents the sum of r and 7 is written simply as r + 7. This is a basic operation in algebra involving the addition of a variable and a constant.
Explanation:
To write an expression that represents the sum of r and 7, you simply add these two together. The mathematical expression for this is r + 7. This is a basic algebraic expression that demonstrates how to represent the addition of a variable, in this case r, with a constant number, which is 7.
Which substance traps pathogens and prevents them from entering the deeper tissue of the body? tears
Answers
Answer:
Mucus
Step-by-step explanation:
Write an inequality to represent this situation: The temperature stayed above -15 degrees.
Answers
I will use t to represent the temperature.
Your inequality is t > -15
But why?
This is because the temperature, if staying above -15, would be greater than -15, hence the "greater than" symbol. Since t is the value mentioned first in our little word problem, we would put that first. :)
solve the equation for a
w=7a+4b
Answers
w-4b = 7a
[tex]a= \frac{w-4b}{7}[/tex]
The linear equation for "a" in terms of "w" and "b" is:
a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."
To solve the equation for "a" in terms of "w" and "b," we can follow these steps:
Step 1: Start with the equation:
w = 7a + 4b
Step 2: Isolate the term with "a" on one side of the equation. To do this, subtract 4b from both sides:
w - 4b = 7a
Step 3: Divide both sides of the equation by 7 to solve for "a":
(w - 4b) / 7 = a
Step 4: Simplify the expression:
a = (w - 4b) / 7
Therefore, the linear equation for "a" in terms of "w" and "b" is:
a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."
Learn more about linear equations here:
https://brainly.com/question/30968398
#SPJ2
(7,1,9,52,12,25,9,7,7)what are the outliers?
Answers
What is the simplest form of the expression -2x^2(x+5)+x(2x^2-10x)+x
Answers
-2x ^ 2 (x + 5) + x (2x ^ 2-10x) + x
Rewriting we have:
-2x ^ 3 - 10x ^ 2 + 2x ^ 3 - 10x ^ 2 + x
Grouping terms with the same exponent:
x ^ 3 (-2 + 2) + x ^ 2 (-10 - 10) + x
-20x ^ 2 + x
Rewriting:
x (-20x + 1)
Answer:
The simple form of the expression is:
x (-20x + 1)
Answer:
x
Step-by-step explanation:
-2x^2(x-5)+x(2x^2-10x)+x
Distribute-2x^2 through parentheses
-2x^3+10x^2+(2x^2-10x)+x
Distribute x through parentheses
-2x^3+10x^2+2x^3-10x^2+x
Eliminate the opposites
-2x^3+2x^3=0 and 10x^2-10x^2=0 both sets of opposites cancel each other out, which leaves us with just x remaining.
The simplest form of of the expression is x.
sector area definition
Answers
Do you want the exact equation? arc length is Area= rl/2 and arc length is the same as sector area
A sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.
Explanation:In mathematics, a sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.
For example, if we have a sector with a radius of 5 units and a central angle of π/3 radians (60 degrees), we can calculate the area as follows:
Find the area of the whole circle with radius 5: A = π(5)^2 = 25π square unitsCalculate the fraction of the circle represented by the sector: Fraction of circle = π/3 / (2π) = 1/6Multiply the area of the whole circle by the fraction of the circle represented by the sector: Area of sector = (1/6) * 25π = (25/6)π square unitsLearn more about Sector area definition here:https://brainly.com/question/29055300
#SPJ12
A remote-control airplane descends at a rate of 2 feet per second. After 3 seconds it is 67 feet above the ground. Write the equation in point-slope form that models the situation. Then, find the height of the plane after 8 seconds.
Answers
the point slope equation will be given as follows:
y-y1=m(x-x1)
where:
slope,m=2 ft/sec
(x1,y1)=(3,67)
thus plugging in the values in the formula, we obtain the point slope equation as follow:
y-67=2(x-3)
Answer:
y-67=2(x-3)
b]The height of the plane after 8 seconds will be:
x=8 sec
but:
y-67=2(x-3)
substituting x=8 we get:
y-67=2(8-3)
y-67=2(5)
y=10+67
y=77
thus the height after 8 seconds is 77 ft
there are 3 black marbles in and 4 red marbles in a bag. what is the probability that you will pick two black marbles put of the bag without replacing the first one?
Answers
[tex] |\Omega|=7\cdot6=42\\
|A|=3\cdot2=6\\\\
P(A)=\dfrac{6}{42}=\dfrac{1}{7}\approx14\% [/tex]
Which of the following equations represent a proportional relationship
a: y=12.5x
b: y= 4x-1
c: x+y=3
d: y=3x (squared)
Answers
A professional basketball team must play a total of 85 came before the playoffs begin. The team has played 3/5 of the scheduled games, if the team plays 10 more games, what is the total number of games they will have played
Answers
After calculating the number of games already played as a fraction of the total and adding 10 more games, it is determined that the team will have played 61 games.
Explanation:The subject of this question is Mathematics, particularly it involves operations with fractions. The team has played 3/5 of the total scheduled games. So let's calculate how many games that would be by multiplying the total number of games, 85, by 3/5:
The team has already played 85 * 3/5 = 51 games.
If the team plays 10 more games, we need to add this to the number of games already played:
51 (already played games) + 10 (more games) = 61 games.
Therefore, the total number of games the team will have played after 10 more games is 61 games.
Learn more about Fraction Calculations here:https://brainly.com/question/29633725
#SPJ12
When finding out if 2 triangles are congruent, is it possible to only use a side and angle if those are the only 2 provided? Help ASAP please.
Answers
Yes First.
If the lower right point (looks like an C perhaps or an F) and the middle point and the upper left point lie on the same line and if D the middle point and the upper right point lie n the the same line, then yes. You have angle side angle. The lower right angle is given as equal to the upper left angle. The angles at C are vertically opposite angles and they are equal and you have been given 2 enclosed sides that are equal.
No
If the points I've described are not on the same line, then the triangles are not congruent. If I can, I'll edit this a second time.
Please Note:
You have done something that looks a bit illegal to me. I wouldn't just trade pictures. It only costs you another 5 points to issue another question. I do think, however, that it is very clever. In answering about 1700 questions, I've never seen this done. That's commendable.
how do I find circumference
Answers
C=2pi•r
or
C=pi•d
what is the relationship of 7 and -7
Answers
Hope this helps!
A rectangle has vertices at these coordinates
. (−6, 10), (−6, 1),(1, 10)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
( , )
Answers
Answer:in knew it but i forgot
Step-by-step explanation:
Can someone please help me with this?
Answers
A chief had 6 cups of berries and will use 2/3 cup of berries for each serving of fruit salad. How many servings can be made ?
Answers
6 * 2/3=4
First to answer with work shown gets Brainliest
Answers
The price of a stock had a change of –3 dollars.
Explain how you would use a number line to find the absolute value of –3
Answers
Hello! The answer to your question is: Draw out a horizontal line. Place 0 at the center. Then place evenly spaced tick marks on either side of 0. Label the right side of tick marks as 1, 2, 3, moving from 0 and going to the right
Label the left side of tick marks -1, -2, -3, starting at 0 and moving left
The location -3 on the number line is exactly 3 units away from 0. We start at 0 and move to -3 by moving 3 spots to the left; or we start at -3 and move 3 units to the right to get to 0.
Therefore, the absolute value of -3 is 3
Absolute value on a number line is the distance a number is from 0
The distance is never negative.
Hope this helped!
Use the law of cosines to explain why c^2=a^2+b^2 for triangle ABC, where angle C is a right angle.
Answers
By the law of cosines,
[tex]c^2=a^2+b^2-2ab\cos C[/tex]
But [tex]\cos90^\circ=0[/tex], so we end up with [tex]c^2=a^2+b^2[/tex].
how many lines of symmetry does the flag of Iraq have
Answers
Final answer:
The flag of Iraq has no lines of symmetry due to its horizontal stripes of different colors and the specific orientation of the Arabic Kufic script of the Takbir written in the center.
Explanation:
The question about how many lines of symmetry the flag of Iraq has can be classified as a question in the field of mathematics, particularly in the study of geometry. Symmetry in flags can pertain to reflections across certain lines where the flag is indistinguishable from its mirror image.
As of my knowledge update, the flag of Iraq consists of three horizontal stripes of red, white, and black, with the Takbir ('Allahu Akbar') written in the center in green Kufic script. As the script introduces a specific orientation and the colors do not symmetrically repeat, the flag does not have horizontal or vertical lines of symmetry. The presence of textual elements disrupts potential symmetry, considering the particular way letters must be oriented to be readable. Hence, the flag of Iraq does not have any lines of symmetry.
What is 20/50 reduced to a smaller fraction?
Answers
~~20/50 can be reduced to many smaller fractions. Dividing the numerators and denominators with the greatest common factor (GCF) will result into the simplest form of the fraction. Factors that are not GCFs will result the fraction into a fraction equivalent to the other.
~Examples: 20/50 divided by 2 is 10/25. 20/50 divided by 5 is 4/10.
Max donated 16 dog collars to the dog shelter. Mia donated some leashes. How many items does Mia need to donate that would require you to regroup to find the total number of items donated?
Answers
Mia can donate up to 4 leashes without requiring regrouping to find the total number of items donated.
To determine how many leashes Mia needs to donate such that you would need to regroup to find the total number of items donated, we need to know the maximum capacity of the shelter's storage or the maximum number of items that can be comfortably accommodated without regrouping.
If we assume that the shelter's storage can hold a maximum of 20 items comfortably without needing to regroup, then we can calculate the number of items Max and Mia can donate without regrouping:
Max donated 16 dog collars, and the shelter can accommodate 20 items without regrouping. So, Max has donated within the capacity without needing to regroup.
Now, let's see how many leashes Mia can donate without exceeding the capacity:
20 (maximum capacity) - 16 (Max's donation) = 4
Mia can donate up to 4 leashes without requiring regrouping to find the total number of items donated. If Mia donates more than 4 leashes, you would need to regroup to calculate the total number of items donated.
To know more about maximum capacity:
https://brainly.com/question/30088508
#SPJ3
just answer no need to explain.
Answers
So, shifting x³ , 3 units to left will result in:
f(x) = (x + 3)³
Shifting down means subtracting the number from the function value.
So, shifting 2 units down will result in:
f(x) = (x + 3)³ - 2
Therefore, option A is the correct graph
I think it would be answer b. [tex]f(x)=(x+3)^2-2[/tex]
Samantha is installing a new window in her bedroom wall. She wants to center it horizontally. the window is 40.5 inches long, and the wall is 105.25 inches long. how far from each edge of the wall should Samantha install the window?
Answers
To center the window horizontally on a wall, subtract the window's length from the wall's length and divide by two. Samantha should install the window 32.375 inches from each edge of the wall.
The student is trying to determine how far from each edge of the wall she should install the window to center it horizontally. To find this, we calculate the difference between the wall's length and the window's length and then divide that number by two. The wall is 105.25 inches long, and the window is 40.5 inches long.
To center the window horizontally, we do the following calculation:
(Length of wall - Length of window) / 2
(105.25 inches - 40.5 inches) / 2
64.75 inches / 2
= 32.375 inches.
Therefore, Samantha should install the window 32.375 inches from each edge of the wall to center it horizontally. This calculation ensures the window is positioned equally from both sides of the wall, assuming the wall is straight and the measurements are accurate.
If 60 of the 200 students are girls, then what percent of the students are girls?
Answers
60/200=.3*100=30%
How many prime numbers between 8 and 60 leave a remainder of 2 when divided by 6?
A) 0
B) 1
C) 4
D) 6
E) 7
Answers
Prime Number: Is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
If you list out all of the prime numbers between 8 and 60 and divide each one by 6, you will notice that the remainder ends with either 1or 5 and not 2.
So your answer would be A) 0
Hope this helps!!
Have A Fantastic Weekend!!
In a recent fundraising campaign, Rise Over Run received 20 checks of various amounts to donate to their favorite charities. Olive uses this spinner to determine which charity will receive each check.
About how many of the 20 checks should arise Over Run expect to go to their TreeHuggers Campaign ?
Answers
Answer:
6 checks
Step-by-step explanation:
The expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign is given by: Option D: 6 checks.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]
For this case, we're specified that:
The spinner has 10 parts.
3 belong to Treehuggers2 belong to Ameriteach5 belong to Paws of PeaceThus, the probability of getting the spinner fall on treehugger is 3/10 (three favorable parts of spinner to ten total parts, all parts assumingly equally probable and spinner assumingly not falling in the mid of two parts).
20 checks, all will be accompanied with 20 spins, all independent of each other.
Let X = total number of times the spinner falls on Treehuggers
And let Success for a spin = It landing on Treehugger
Failure for a spin = It not landing on Treehugger
Probability of success = p = 3/10 = 0.3Probability of faillure = 1-p = 7/10 = 0.7n = 20, so we get:
[tex]X \sim B(n=20,p=0.3)[/tex]
The expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign = expected number of successes in those 20 spins = the expected number of values of X.
Since X follows a binomial distribution, we get:
[tex]E(X) = np = 20 \times 0.3 = 6[/tex]
Thus, the expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign is given by: Option D: 6 checks.
Learn more about binomial distribution here:
https://brainly.com/question/13609688