Answer:
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Step-by-step explanation:
Given function log x³ y⁴
step(i):-
Applying logarithmic formula
log ( a b ) = log (a) +log (b)
log x³ y⁴ = log ( x³ ) + log( y⁴)
step(ii):-
Applying logarithmic formula
log (x ⁿ) = n log x
log x³ y⁴ = log ( x³ ) + log( y⁴)
log x³ y⁴ = 3 log ( x ) + 4 log( y)
final answer:-
log x³ y⁴ = 3 log ( x ) + 4 log( y)
help please!!!! Geometry again!!!
Answer:
Step-by-step explanation:
1. correspording: 2&5, 1&6, 3&8, 4&7
vertical: 2&4, 1&3, 5&7, 6&8
alt interior: 3&6 4&5
alt exterior:2&7 4&5
2. correspording: 1&5, 2&6, 3&7, 4&8
vertical: 2&4, 1&3, 5&7, 6&8
alt interior: 2&8 5&5
alt exterior:1&7 4&6
Yep another question... what my teacher never teach me this
Answer:
its b.
Step-by-step explanation:
15 POINTS & BRAINLIEST MARK!!!!!!
1. Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period
of 10 years.
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period
of 10 years.
Each answer must include the intermediate steps used to arrive at the answer.
I'm sorry about the confusion, but what is the question you're asking?
I would love to help though!
Find the angle of elevation of the plane
When it reaches 300 feet above the ground.
Answer:
36.78°
Step-by-step explanation:
Use the tangent equation to find the solution.
Tangent = opposite/adjacent
tanx° = [tex]\frac{300}{400}[/tex]
x ≈ 36.78°
Answer:
X=36.87°
Step-by-step explanation:
Tanx=opposite/adjacent
Tanx =300/400
Tanx=0.75
X=tan-¹(inverse)0.75
X=36.87°
What is the mean of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 16
Answer:
16
Step-by-step explanation:
You first add all the numbers together,then you divide by 7 to get the mean of it
Answer:
16
Step-by-step explanation:
17, 13, 18, 20, 17, 15, 12
To find the mean, add up all the values and divide by the number of terms
(17+ 13+ 18+ 20+ 17+ 15+ 12)/7
112/7
16
Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.
Answer:
2.5 kilograms
Step-by-step explanation:
10 rings times each weight ring(250)=2500
2500 grams to kilograms is 2.5
Solve for x.
−6≥10−8x
Enter your answer as an inequality.
Answer:
x≥2
Step-by-step explanation:
-6≥10-8x
+6 +6
= 0≥16-8x
+8x +8x
= 8x≥16
/8 /8
= x≥2
Answer:
2≤x
Step-by-step explanation:
−6≥10−8x
Subtract 10 from each side
−6-10≥10-10−8x
−16≥−8x
Divide each side by -8, remembering to flip the inequality
-16/-8 ≤-8x/-8
2 ≤x
Where was her mistake if she made any?
Rick is deciding what to wear to school. He has two different shirts, two different pants and two different pairs of shoes to choose from. How many different outfit combinations does he have to choose from?
Answer:
a total of 8 outfits
Step-by-step explanation:
shoes: L1, L2
shirts: S1, S2
pants: P1, P2
1: S1, P1, L1
2: S1, P1, L2
3: S1, P2, L1
4: S1, P2, L2
5: S2, P1, L1
6: S2, P1, L2
7: S2, P2, L1
8: S2, P2, L2
I hope that makes sense, since I couldnt figure out how to show the diagram.
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n
Answer:
0.5m+2.50=c
Step-by-step explanation:
Just trust me brah
The sum of two consecutive numbers is 131. What are the two numbers? A. 64 and 65 B. 64 and 67 C. 65 and 66 D. 130 and 131
Subtract 1:
131-1 =130
Divide by 2:
130/2 = 65
First number is 65
For the second number take the first number and add the 1 that you originally subtracted:
Second number : 65 + 1 = 66
The numbers are 65 + 66 = 131
evaluate (m/n)(x) for x=-3
Answer:
(-3m)/n
Step-by-step explanation:
(m/n)(x)
For x = -3,
(m/n)(-3) =
-3(m/n) =
(-3m)/n
Our answer is fully simplified
Answer:
your answer is 1
Step-by-step explanation:
answer on edgen uity
please need help I will be MARKING as BRIANILIST. thank you so much
Answer:
Step-by-step explanation:
a, as the x axis increases, so does the y axis
b, temperature outside v ice cream sales
hours studied v grade on test
c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation
What is the value of x?
Answer:
x = 30°.
Step-by-step explanation:
To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.
Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.
There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:
180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.
(x + 10) + (x + 10) = 80
2x + 20 = 80
2x = 60
x = 30°.
Answer:
x=30
Step-by-step explanation:
Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
A) (5x-3)(x+1)
B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]
C) it gets up really high
D) Plug values in of x to get y and plot!
Sean drinks 350mL of milk every day. How many liters of milk does he drink in a week?
Answer:
2.45 L in a week
Step-by-step explanation:
First find out how many ml he drinks in a week
350 mL * 7 days
2450 mL in a week
We know that 1000 mL = 1 L
2450 mL * 1 L /1000 mL = 2.45 L in a week
Answer:
2.450 litres.
Step-by-step explanation:
The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml
Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must a be and
why?
Х
4
5
6
y
26
23
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is -1.
a = 20 because the rate of change is -3.
a
Answer:
a = 20 because the rate of change is -3
Step-by-step explanation:
In order for the function to be linear, sequential values of x must match values of y that have the same first differences. Here, 23-26 = -3, so we must have a-23 = -3. That is to say, the value of "a" must be 20.
The "rate of change" is the ratio of the differences in y to the differences in x. Here, that is -3/1 = -3. The appropriate choice is ...
a = 20 because the rate of change is -3
Please help will mark brainliest
Answer:
Klm=(k+1)m -(m+1)k
Klm=km+m -mk-k
Klm=m-k
Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.
a. What percentage of gold is 21 carat?
b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
[tex]x + y = 90[/tex]
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]
We now have a system of equations which we can solve to find the necessary mass of each type.
[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]
[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Step-by-step explanation:
What is the product?
(6 r minus 1)(negative 8 r minus 3)
negative 48 r squared minus 10 r + 3
negative 48 r squared minus 10 r minus 3
negative 48 r squared + 3
negative 48 r squared minus 3
Answer:
The answer is option 1.
Step-by-step explanation:
You have to use Distributive Laws,
[tex]a(b + c) = ab + ac[/tex]
So for this question :
[tex](6r - 1)( - 8r - 3)[/tex]
[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]
[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]
[tex] = - 48 {r}^{2} - 10r + 3[/tex]
The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.
What is an algebraic expression?Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.
According to this question, the following expression is given:
(6r - 1) (-8r - 3)
6r × -8r = -48r²- 1 × -8r = 8r6r × -3 = -18r-1 × -3 = 3Therefore, the product of the expression is -48r² -10r + 3
Learn more about algebra at: https://brainly.com/question/953809
#SPJ9
someone plz help me!!!!!!!!!
Answer:
2 1/4
Step-by-step explanation:
=−514+712
Rewriting our equation with parts separated
=−5−14+7+12
Solving the whole number parts
−5+7=2
Solving the fraction parts
−14+12=?
Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 4
−14+24=14
Combining the whole and fraction parts
2+14=214
Help please! Will give brainly! Jada noticed that the distances fallen are all multiples of 16. She wrote down:
Answer:
Look at the underlined numbers
So we have 16 = 16*1
then 64 = 16*4
the difference would be 3
then 144 = 16*9
the difference would be 5
256 = 16*16
the difference would be 7
400 = 16*25
the difference would be 9
so the next one would be 11+25=
3, 5, 7, 9, 11
ANSWER: 16*(11+25) = 36*16 = 576
Step-by-step explanation:
I explained before this
What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1
Answer: (6, -3)
(x^2-4x+4)/16-(y^2+6y+9)/25 = 1
x = 6
y = -3
6^2 = 36
4 * 6 = 24
36 - 24 = 12
12 + 4 = 16
16/16 = 1
-3^2 = 9
6 * -3 = -18
9 - 18 = -9
-9 + 9 = 0
0/25 = 0
1 - 0 = 1
I really hope this helped, at least a little bit.
The coordinates of the center of the hyperbola is (6,-3).
What is hyperbola?
Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".
According to the question,
[tex]\frac{(x-2)^2}{4^2}[/tex] - [tex]\frac{(y+3)^2}{5^2}[/tex] = 1
Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex] - [tex]\frac{(y-h)^2}{b^2}[/tex] = 1.
The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.
From above discussion we get clearly the coordinate of hyperbola is
(6-3).
Learn more about hyperbola here
https://brainly.com/question/10336462
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Question 3 of 15
2 Points
Solve the equation for x.
14x = 28
X =
Answer here
Answer:
x = 2
Step-by-step explanation:
[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]
A city has 4 new houses for every 9 old houses. If there are 28 new houses in the city, how many old houses are there?
A. 61
B. 63
C. 67
D. 65
Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
4
Answer:
f(6) = 4
Step-by-step explanation:
We want the value of the function when x =6
Go to where x=6 then go up to when you hit the blue line then find the y value
f(6) = 4
8(y^0) + (-7)(y^0)=________
Answer:
1
Step-by-step explanation:
8(y^0) + (-7)(y^0)
Remove parentheses: (a)=a
= 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]
Add similar elements: 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]= [tex]y^{0}[/tex]
= [tex]y^{0}[/tex]
Apply rule [tex]a^{0}[/tex] = 1, [tex]\alpha \neq 0[/tex]
= 1
Which symbol correctly compared these two fractions
Answer:
>
Step-by-step explanation:
Put the fractions in decimal
0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6
You can also use common denominators
A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?
Answer:
39.59
Step-by-step explanation:
Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number
of miles driven, x, is shown in the graph
due today
The answer is f(x)=1/2x+25
