What is B^y=x in logarithmic form?
Answer:
The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1
Step-by-step explanation:
ttygytex x so r5f3ygthttg
Which direction am I going if I drive from Washington DC to Dallas texas
Answer:
north
Step-by-step explanation:
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.
The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
How to determine the equation?Generally, a point is represented as:
(x,y)
The line x = -6 means that:
(-6, y)
So, we calculate the distance between (x,y) and (-6, y) as follows:
[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]
This gives
[tex]d = \sqrt{(x + 6)^2 }[/tex]
Next, we calculate the distance between (6,0) and (x, y) as follows:
[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]
This gives
[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]
Equate both distance expressions
[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]
Square both sides
[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]
Expand
[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]
Evaluate the like terms
[tex]12x = - 12x + y^2[/tex]
Add 12x to both sides
[tex]y^2 = 24x[/tex]
Make x the subject.
[tex]x = \frac 1{24}y^2[/tex]
Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
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Give the values of the coefficients [a], [b], and [c] regarding the product in the form of ax^2+bx+c. Use "0" if the term isn't present.
==================================================
Explanation:
Expand out the expression using the FOIL rule
(x+7)(x-7)
x^2 - 7x + 7x - 49
1x^2 + 0x - 49
We see that a = 1, b = 0, c = -49
-------------
Another way to expand is to do the following
(x+7)(x-7)
y(x-7) .... let y = x+7
xy - 7y .... distribute
x( y ) - 7( y )
x( x+7 ) - 7( x + 7 ) ... replace y with x+7
x^2 + 7x - 7x - 49 .... distribute
1x^2 + 0x - 49
We get the same result.
-------------
Lastly, a shortcut can be used as yet another method to expand.
The shortcut is the difference of squares rule
(a + b)(a - b) = a^2 - b^2
In this case, a = x and b = 7, so,
(a + b)(a - b) = a^2 - b^2
(x + 7)(x - 7) = x^2 - 7^2
(x + 7)(x - 7) = x^2 - 49
(x + 7)(x - 7) = 1x^2 + 0x - 49
4x <64 what is the answer
Answer:
x < 16
Step-by-step explanation:
4x < 64
To solve for x, we simply divide by 4 on both sides. This results us with:
x < 16
#teamtrees #WAP (Water And Plant)
4x <64
Divide both sides by 4:
x < 16
helllppp meee please
Answer:
2, 3, 6, 7
Step-by-step explanation:
Collateral can be beneficial for borrowers when applying for a loan by
a. offering lenders additional financial gain if borrowers defaults on their loans
b. lessening the total loan amount, making it easier for borrowers to be approved
C. giving lenders protection against financial loss and more reason to approve loans
d. demonstrating that borrowers have ownership of high-end goods and can obviously make their
loan payments
Please select the best answer from the choices provided.
A
B
C
D
When applying a loan, Collateral can be beneficial to the borrower because: (C). giving lenders protection against financial loss and more reason to approve loans
Meaning of Loan and collateralLoan is a form of debt incurred by an individual as a result of recieving money from an individual or organization that will repaid within a definite period.
collateral can be defined as any asset (example: car, house, land etc) that is offered by the borrower to the lender to secure a loan.
it is very important because the lender is secured that if you cant repay the loan he takes the asset.
In conclusion, when taking a loan, collateral is important.
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Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?
Answer:
1.15 miles
Step-by-step explanation:
Answer:
24/20
Step-by-step explanation:
Changed denominator to 20 since 4 and 5 both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1 1/5/ Hope this helps!
f(x) = 72-12x what is the domain and range
Answer:
The domain is x and the range is f(x)
Step-by-step explanation:
what is the solution to this equation: 5x to the 2 power - 36x - 81 = ?
Answer:
5x² - 36x - 81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
5x² - 36x - 81
Step 2: Simplify
We cannot simplify the expression down further.
1 point
The weights of laboratory cockroaches follow a Normal distribution with
mean 80 grams and standard deviation 2 grams. Use the figure from above.
About what percent of the cockroaches have weights less than 78 grams?
16%
none of these
32%
34%
O 2.5%
Answer:
16% of the cockroaches have weights less than 78 grams.
Option A is correct.
Step-by-step explanation:
Mean = 80 g
Standard Deviation = 2
We need to find percent of the cockroaches have weights less than 78 grams so, x=78
First we will find z using formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Putting values of x, mean and Standard Deviation to find z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]
We need to find P(z<-1)
Looking in the normal distribution table
[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]
So, 16% of the cockroaches have weights less than 78 grams.
Option A is correct.
The subset of the sample space probability experiment
Step-by-step explanation:
The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.
The measure of the angle is 44 times greater than its supplement.
What is the measure of the supplement?
Answer: The measure of it's supplement is 4°
Step-by-step explanation:
If an angle is 44 times is supplement, then we can represent it by the equation x = 44y where x is the angle and y is it's supplement.
Supplementary angles add up to 180 degrees, meaning that x + y = 180.
x = 44y
x + y = 180
Using both equations substitute the value for x in the first equation, into the second equation and solve for y.
44y + y = 180 Combine like terms on the left side
45y = 180 Divide both sides 45
y = 4
This means the measure of it's supplement is 4 degrees.
Now input 4 into one of the equations for y and solve for x to find the main angle.
x = 44(4)
x = 176
This also means that the angle itself is 176 degrees.
The measure of the supplementary angle is 4°.
It is given that the measure of the angle is 44 times greater than its supplement.
We have to find out the measure of the supplement.
What are supplementary angles ?
Two angles are said to be supplementary angles if the sum of two angles is 180°.
As per the question ;
The measure of the angle is 44 times greater than its supplement.
Let's assume the supplementary angle is x .
So,
The other angle will be 44 × x .
We know that sum of two angles if they are supplementary is 180°.
⇒ x + 44 x = 180 °
⇒ 45 x = 180°
⇒ x = 180 ÷ 45
⇒ x = 4°
And the other angle will be ;
= 44 × 4
= 176°
Thus , the measure of the supplementary angle is 4°.
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Geometry: Express the area of each figure as a monomial. I need help with this, anyone?
Answer:
answer 28ab³ I think maybe
The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
Here,
The formula to calculate the area of a right-angled triangle is:
Area = (1/2) * base * height
In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].
Now, let's substitute these values into the formula:
Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]
Now, simplify the expression:
Area = [tex]2 * a^2b * 6ab^3[/tex]
To find the monomial representation, multiply the coefficients and add the exponents of like terms:
Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]
Finally, simplify the exponents:
Area = [tex]12a^3b^4[/tex]
So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
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FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answer: I think its C
Step-by-step explanation:
Wes had 4.75 in quarters and dimes if he had 25 coins how many of each did he have?
Answer:it would be 15 quarters and 10 dimes
Step-by-step explanation:
15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75
Answer:
15 quarters and 10 dimes
Step-by-step explanation:
25x + 10(25-x) = 475
x = 225/15
x = 15
So that has to mean he has 10 dimes
Hope this helps!!!
4x - 3y = 1
-8x + 6y = -2
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 3y = 1
-8x + 6y = -2
Step 2: Rewrite systems
-8x + 6y = -2
Add 8x to both sides: 6y = 8x - 2Divide 6 on both sides: y = 4/3x - 1/3Step 3: Redefine systems
4x - 3y = 1
y = 4/3x - 1/3
Step 4: Solve for x
Substitution
Substitute in y: 4x - 3(4/3x - 1/3) = 1Distribute -3: 4x - 4x + 1 = 1Combine like terms: 1 = 1Here we see that 1 does indeed equal 1.
∴ x = all real numbers/infinite amount of solutions
Step 5: Graph
Check the systems.
We see that the 2 equations are the same line.
15 kg equals how many grams
Answer:
15,000g
Step-by-step explanation:
Answer: 15000 grams
Step-by-step explanation: To convert Kilograms to Grams, you'll need to multiply the mass value by 1000.
What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.
A triangle has a base of 16 inches and a height of 16 inches.
_____ in²
Answer:
I believe the answer is the triangle has an area of 256 inches. I may be wrong though.
Step-by-step explanation:
Answer:
128 in² but only type 128 to complete the answer
Step-by-step explanation:
Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.
Answer:
67
Step-by-step explanation:
You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.
Do you guys know this?
Answer:
3
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's look at g(3) first. It is stated in the problem that g(3) = 2.
We then use this value for f(x). It is stated in the problem that f(2) = 3.
The answer is 3.
(Ill give brainliest if u help!)
Which equation has a value less than 54,811?
A) 54,811 x 2 = ________
B) 54,811 x one and two fourths = ________
C) 54,811 x 1 = ________
D) 54,811 x two fourths = ________
Answer:
Answer is D
Step-by-step explanation:
Answer:
The answer would be D.
Step-by-step explanation:
(45x-7)4x=57 solve this and ill make out with you
Answer:
After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
Step-by-step explanation:
We need to solve the equation: [tex](45x-7)4x=57[/tex]
Solving:
[tex](45x-7)4x=57[/tex]
Multiply 4x with terms inside the bracket
[tex]180x^2-28x=57[/tex]
[tex]180x^2-28x-57=0[/tex]
We need to solve above equation to find value of x
Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a=180, b=-28 and c=-57
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]
Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
4. Victoria fills a 15-gallon pool. She has a 2-liter
bucket she uses to fill the pool. If 1 gallon is
approximately 3.79 liters, what is the
maximum number of full buckets Victoria can
pour into the pool without it overflowing?
A. 56 buckets
B. 57 buckets
C. 28 buckets
D. 29 buckets
Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.
Answer:
n+n= 2n
[tex](3n) ^{2} = 9n ^{2} [/tex]
5(n+2)=5n+10
2(n+1)=2n+1
[tex]n \div 4 = \frac{n}{4} [/tex]
[tex]n(n - 2 = n{2} - 2n[/tex]
can you help me out
Answer:
$36
Step-by-step explanation:
Answer:
$36.
Step-by-step explanation:
(Hot dog) 2 for 5: Unit price is 5/2 = 2.5
(Soda) 3 for 3 so unit price is 1 for 1.
6 sodas = 6 dollars
12 Hot dogs = 12. x 2.5 = 30 dollars.
Price for both = 30 + 6 = 36.
What is the solution for y=2x+3, y=2x-3
Answer:.
Step-by-step explanation:
I need help again please help me with this question
Answer:
The size of a sundae and the amount of calories it contains.
Step-by-step explanation:
The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.
When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all
why was mom now saying that Augie did not have to go to school
Answer:
Is there suppose to be a picture?
Step-by-step explanation:
Answer:
Because she liked Augle more than the other child
Step-by-step explanation:
She didn't want him to go to school so that she could spend the day with her favorite child
what is the correct evaluation of 3x-x+2,when x is equal to -4?
14
-6
6
-14
Answer:
The answer is -6.
Step-by-step explanation:
You have to substitute x = -4 into the expressions :
3x - x + 2
= 3(-4) - (-4) + 2
= -12 + 4 + 2
= -6