Expand the logarithm fully using the properties of logs. Express the final answer in
terms of log .
log 6x^4
Answer:
P=log(2)+log(3)+4.log(x)
Step-by-step explanation:
To solve the problem, we need to recall the following properties of the logarithms:
[tex]log(x.y)=log(x)+log(y)[/tex]
[tex]log(x^y)=y.log(x)[/tex]
We have the expression:
[tex]P=log(6x^4)[/tex]
Factor 6=2*3:
[tex]P=log(2\cdot 3x^4)[/tex]
Apply the property of the product:
[tex]P=log(2)+log(3)+log(x^4)[/tex]
Now apply the property of the exponent:
P=log(2)+log(3)+4.log(x)
what is the equivalent expression?
Answer:
B
Step-by-step explanation:
Negative and positive rule
Plz help me fast !!!!
answer:
$4.24
explanation:
hope this helped <3
can someone help me with this plzz I'll brainlist :)!
Step-by-step explanation:
Putting values of m and n in the equation
12/3 + 5(3)
4 + 15 = 19
(12)(3)/4
= 36/4 = 9
3(12) - 12(3)
36 - 36 = 0
Step-by-step explanation:
m= 12 and n = 3
[tex]a. \: \frac{m}{3} + 5n \\ \frac{12}{3} + 5 \times 3 = 4 + 15 = 19[/tex]
[tex]b. \frac{ mn}{4} = \frac{12 \times 3}{4} = \frac{36}{4} = 9[/tex]
c.[tex]3m - 12n \\ \\ 3 \times 12 - 12 \times 3 = 36 - 36 = 0[/tex]
F(x) = 2x^3 + 4x^2 , find f(-3)
Answer:
Step-by-step explanation:
54
DMC Inc. Is planning to issue a $1,000 face value bond with an annual coupon rate of 10% that matures in 20 years. DMC is planning to pay semiannual interest payments. Similar DMC bonds are quoting at 95% of par. What is yield to maturity for this bond?
Answer: 10.6%
Step-by-step explanation:
Given the following :
Face value (FV) = $1000
Coupon rate (C) = 10% paid semianually
Time to maturity = 20 years ; number of periods =( 20 * 2) = 40 (Semi-annual)
Current trading price of bond = 95% * 1000 = $950
Payment per period = (10%) / 2 * 1000 = 0.05 * 1000 = 50
Inputting the parameters above into the the yield to maturity calculator with semiannual payment,
Yield to maturity (YTM) = 10.6%
Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost
and he plans to save $5 per week. Define all unknown variables. Write an equation modeling the total
amount he has saved.
Answer:
65-35=30
30 divided by 5 = 6
Step-by-step explanation:
First you have to subtract 65-35, which equals 30.
Then the problem says he plans to save 5 each week. That means he should get his lego set in 6 weeks, because 30 divided by 5 = 6
65-35=30
30 divided by 5 = 6
Anyone know how to do this?
Answer:
20°
Step-by-step explanation:
Step 1:
3x - 10 = x + 30 Alternate Interior ∠'s
Step 2:
2x - 10 = 30 Subtract x on both sides
Step 3:
2x = 40 Add 10 on both sides
Step 4:
x = 40 ÷ 2 Divide
Answer:
x = 20°
Hope This Helps :)
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary. At her first tennis lesson, Latoya swung hard at an incoming serve, the racket slipped out of her sweaty hand and bounced off Coach Licata's head.
Answer:
serve; the
Step-by-step explanation:
In the given sentence the error is in the use of the punctuation mark. The comma has been used in the sentence that is not correct. The correct punctuation mark will be a semi-colon (;). A semicolon is used to bring a pause between two independent clauses. These clauses or the part of the sentences are closely related and have equal importance in the sentence.
The price of one Disney's Share declined a total of $475 in 5 days. What was the average change of the price of one share per day?
Answer:
$95 in one day
Step-by-step explanation:
$475 divided by 5 is $95.
I apologize if I'm wrong
Write a ratio for the model that compares the symbols ☺ to ☼. Simplify if possible.
☺☺☺☺☺ ☺☺☺☺☺ ☺☺☺☺☺
☼☼☼☼☼
Answer:
3:1
Step-by-step explanation:
There are 15 smiley faces & 5 stars so you just have to simplify them.
Memo No
Date
Find the square root of 13²
Answer: 13
Step-by-step explanation:
The square root and exponent cancel out and you are left with 13.
HEY CAN ANYONE PLS ANSWER MY MATH QUESTION RQ!!!!!!!1
Answer:
6 in, 8 ftStep-by-step explanation:
3. Area of triangle
A= 1/2bh24 = 1/2*8hh = 6 in4. Number of bricks
n = 7lh1568= 7*28hh = 1568/(7*28)h = 8 ftAnswer:
192
Step-by-step explanation:
for question 3
Because
Area=Length=With
Can someone please help me with this question? I don’t know what the answer is and I’m not sure
Answer:
you're right
Step-by-step explanation:
I checked by writing the first 5 terms
a1: 5
a2: 8
a3: 11
a4: 14
a5: 17
and then checked using the function to see if they matched up and they did
At Sascha's Salad Bar, customers make their own salads and pay by the ounce. Jenny paid $6.16 for a 22-ounce salad. How much would a 16-ounce salad cost?
Answer:
I think it is 4.48.
Explain:
6.16/22 is 0.28 Then 0.28 times 16 is 4.48.
Can I get a Brainliest?
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9, x, plus, 44, degrees \qquad m \angle MON = 6x + 3^\circm∠MON=6x+3 ∘ m, angle, M, O, N, equals, 6, x, plus, 3, degree
Answer:
Step-by-step explanation:
Given
<LON = 77°
<LOM = (9x+44)°
<MON = (6x+3)°
The addition postulate is true for the given angles since tey have a common point O:
<LON = <LOM+<MON
Since we are not told what to find we can as well look for the value of x, <LOM and <MON
Substitute the given parameters and get x
77 = 9x+44+6x+3
77 = 15x+47
77-47 = 15x
30 = 15x
x = 30/15
x = 2
Get <LOM:
<LOM = 9x+44
<LOM = 9(2)+44
<LOM = 18+44
<LOM = 62°
Get <MON:
<MON = 6x+3
<MON = 6(2)+3
<MON = 12+3
<MON = 15°
Answer: 15° is right on khan academy
please answer this I leave good reviews
Answer:
C
Step-by-step explanation:
Showed the values of Babylonian society
LOOK AT THE IMAGE ABOVE to solve the problems. Please only answer if you KNOW.
Show full steps please.
It’s due today!
Answer:
The lines are parallel
Step-by-step explanation:
The slopes are the same
The equations are both written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-3/5 is the slope in both equations
When the slopes are the same the equations are parallel
They have different y intercepts, so they are different lines ( if they have the same y intercept and same slope, they would be the same line)
Question 2
Select all the ratios that are equivalent to 10:6.
A
5:3
B
20:6
С
6:10
D
12:8
Which are equivalent to 10:6
Answer:
letter a
Step-by-step explanation:
There are 13 boys and 17 girls in grade 7.
is the ratio of boys to girls in grade 7
Answer: 13:17
Step-by-step explanation: boys:girls
Please help anybody. I don’t get this
Answer:
1/16 my bad
Step by step explanation:
Answer:
Its D. 1/16
because you flip 8 to make the exponent positive. then you solve and you get 0.0625 which is 1/16
PLz Help! ASAP I will mark you brainliest!
Answer:
#1 A
#3 D
#4 C
GOOD LUCK
if I join the gym for a start up fee of $40 and a monthly fee of $10, what is the range?
2. A boy had to travel a distance of 12 kilometers on his bicycle. He stopped to rest after 4
kilometers. He stopped to have lunch after another 3 kilometers. How far did he still he still have to go?
12 total
4+3=7
12-7=5
5km left
The predicted calories in food items based on grams of fat are represented by the residual plot.
What does the pattern in the residual plot indicate about the type of model?
A. The pattern is random, indicating a good fit for a nonlinear model.
B. The pattern shows the points are far from the zero line, indicating a good fit for a linear model.
C. The pattern is random, indicating a good fit for a linear model.
D. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.
E. The pattern is random, indicating that the model is unable to be determined.
Answer:
The correct option is;
C. The pattern is random, indicating a good fit for a linear model
Step-by-step explanation:
A graph that has the residuals (the difference between the value observed and the value expected (regression analysis) on the vertical axis and the variable that is not affected by the other variables (independent variable) on the x or horizontal axis is known as a residual plot
A linear regression model is suited in a situation where the points are dispersed randomly on both sides of the horizontal axis
Therefore, given that the first point is below the horizontal axis and the next point is above the horizontal axis, while the third and the fourth points are below the horizontal axis, the fifth, sixth, and seventh points are above the horizontal axis and the eighth point is below the horizontal axis, the points are random around the horizontal axis, indicating the suitability of a linear regression model.
Answer:
C. The pattern is random, indicating a good fit for a linear model.
Step-by-step explanation:
Took the test. It's 100% correct.
What two integers gives a product of -10?
Answer:
Here's how to solve it.
Step-by-step explanation:
Ok so, a negative integer and positive ALWAYS equals a negative.
Negative and negative equals positive because it cancels out.
Positive and Positive equals positive.
So to answer your question What negative number times by a positive equals -10?
Well 5 * 2 = 10 Right?
So -5 * 2 = -10
Hope this Helps.
Which point represents the fraction 7/10?
M
K
J
L
Polynomials are closed under which operations? Select all that apply.
Addition
Subtraction
Multiplication
Division
your answer is
Step-by-step explanation:
polynomials are closed under addition,subtraction,mutiplication except division
The polynomials are closed under addition, subtraction, mutiplication except division.
What is a polynomial?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
Polynomials are expressions involving variables raised with non negative integers and coefficients (constants who are in multiplication with those variables) and the constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
The polynomials are closed under addition, subtraction, mutiplication except division.
Learn more about prime polynomials here:
https://brainly.com/question/10717989
#SPJ2
Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this composition of transformations?
Answer:
C) 180 degree rotation
Step-by-step explanation:
I hope this helps you :)
NEED ANSWER ASAP!
How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph?
I WILL MARK BRANIEST
Answer:
t=0.57h
Step-by-step explanation:
