Answer:
Step-by-step explanation:
a
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]
This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
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Answer: C
Step-by-step explanation:
If you don't want to read it all
It was -5° in Copenhagen and -12° in Oslo.
Which city was colder?
Answer:
Oslo
Step-by-step explanation:
It's colder in Oslo by 7 degrees.
hope this answer helps!
Write the slope-intercept form of the equation
of the line through the given point with the
given slope.
17) through: (-5, -3), slope
5
A) y = x - 2
B) y=1/5x - 2
C) y = -x - 2
D) y=-3x - 2
Answer:
y=5x+22
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=5(x-(-5))
y+3=5(x+5)
y=5x+25-3
y=5x+22
The sum of triple a number and twice another number is 4. The first number increased by the second number is 3. Find the two numbers. Show your work.
WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer:
Step 1: 10 group(s) of 23 = 230
Step 2: 6 group(s) of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!
Answer
From the results, we can conclude:
230=23×10
138=23×6
Therefore:
Step 1: 10 groups of 23 = 230
Step 2: 6 groups of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
answer 10 + 6 = 16
Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18
Answer:
x = ±[tex]\sqrt{7}[/tex] - 5
Step-by-step explanation:
x^2 - 10x = -18
x^2 - 10x + 18 = 0
(x + 5)^2 - 5^2 + 18 = 0
(x + 5)^2 - 7 = 0
(x + 5)^2 = 7
[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]
x = ±[tex]\sqrt{7}[/tex] - 5
A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?
Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid =
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline =
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense =
Brainlist please
The net rate of pay is $122 for the two hours journey.
The driver travels for 2 hours at 90 miles per hour.
Total distance travelled = 2 hours * 90 miles per hour = 180 miles
Money paid to driver = $0.70 per mile * 180 miles = $126
Fuel consumption = 30 miles per gallon, hence:
Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon
Total expense = $4 per gallon * 6 gallon = $24
Net rate of pay = $126 - $24 = $122
The net rate of pay is $122 for the two hours journey.
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Write an expression that is equivalent to -3(2x+5)-3x+6
Answer:
-9x - 9
Step-by-step explanation:
Combine like terms.
-3 • 2x= -6x. -3 • 5= -15
-6x - 15 - 3x+ 6
-9x - 9
Which is greater -1 or 0
Answer:
0
Step-by-step explanation:
Answer:
The answer would be 0.
Step-by-step explanation:
Any negative number is less than 0 and any positive number is greater than 0.
How much water do you need to add to make each concentration?
1% sugar syrup using 12 g sugar
Answer:
108 g of water
Hope This Helps!!!
Find the difference.
17 minus 2 and one-third equals what number?
A. 15 and one-third
B. 15 and two-thirds
C. 14 and two-thirds
D. 14 and one-third
Answer:
C. 14 and 2/3
Answer:
C
Step-by-step explanation:
17 - 2 1/3
17 -2 -1/3
15 -1/3
14 2/3
you got this
{2x−y=3
x+2y=−6
Answer:
Equation form
x=0
y=-3
Point form
(0,-3)
Step-by-step explanation:
An equilateral triangle of side 20cm is inscribed in a circle. calculate the distance of a side of the triangle from the centre of a circle.
Answer:
5.76 cm
Step-by-step explanation:
When we have an equilateral triangle, we can deduce that radius of inscribed circle is ,
R = side * sqrt (3) / 6
Here, side is 20 cm.
And distance from center of inscribed circle to side of triangle is nothing but radius of inscribed circle.
So, R = 20 * sqrt (3) / 6 = 20 * 1.73 / 6 = 5.76 cm
HELP! I need answers to every question!
Answer:
We can treat i as if it was a variable/symbol, with the caveat that
i * i = -1
[6]
(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i
[7]
-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i
[8]
2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i
[9]
(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i
Answer:
6.) 1 - 19i
7 ) -8 - 10i
8.) -6 + 8i
9.) 57 + 9i
not sure if its the right answer
-12x - 5y = 40
12x - 11y = 88
Answer:
(0, -8)
Step-by-step explanation:
hope this helps! :D
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Marking brainliest
What do you thinks this means and why does it matter
they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023
Is that the right answer plzzzz help meee
Answer: Yes
Step-by-step explanation:
Yes area should be right because you are finidng how much it covers which would be area. A way I used to remember it was you looking for the AREA it covers so that awnser is area! Hope that helped!
HELP PLS
1) what value is located 2,3
2) what is the dimension of this matrix?
3) do you remember see matrices before today?
Question 1
Answer: 7Explanation: The notation "2,3" tells us to go to row 2, column 3. The value 7 is at this location.
====================================================
Question 2
Answer: 3 x 4Explanation: The dimensions refer to the number of rows and number of columns. In this case, we have 3 rows and 4 columns. The number of rows is always listed first.
====================================================
Question 3
This is something you'll have to answer yourself because it will be based off your personal experiences. There is no right answer, so feel free to answer however you wish.
HELP! I WILL NOT TAKE SPAM ANSWERS! IF U SEND ME AA LINK I'M GONNA GET MAD!
An electrician cut 3 5/8 yards of wire into six equal sections. After cutting, how long was each piece?
Answer:
29/48
Step-by-step explanation:
3 5/8 Divided By 6= 29/48
Dividing fractions is simple if you know what to do, and how to multiply.
Here's how:
-----------------------------
1. convert any whole number or mixed number into a fraction.
6 = 6/1.
Whole number x denominator + numerator = 29/8
(3) (8) (5) (answer/original denominator)
-----------------------------
2. Keep, Change, Flip (KCF)
29 1
__ x __
8 6
With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.
---------------------------------------
3. Multiply numerators and denominators
29 x 1 = 29
__
8 x 6 = 48
29/48 is in it's simplest form.
Hence, your answer.
Each wired piece was 29/48 of a yard.P.S - Please let me know if i made any mistakes.Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes. If m represents the number of minutes and p represents the number of pages, which equation represents the number of pages Ben reads per minute?.
The equation which represents the number of pages Ben reads per minute is p = 0.75m
Given:
6 pages of a book in 8 minutes
9 pages in 12 minutes
30 pages in 40 minutes
Number of minutes = m
Number of pages = p
Pages per minute = 6 pages ÷ 8 minutes
= 6/8
= 0.75 pages per minute
The equation:
p = 0.75m
Therefore, the equation which represents the number of pages Ben reads per minute p = 0.75m
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5c−4c+c equavilent like terms
Answer:
yes they are like terms
Step-by-step explanation:
they are like terms as the variables are same 5c-4c+
Hello there!
Solve by Combining Like Terms:[tex]5c-4c+c[/tex][tex]5c-3c[/tex][tex]2c[/tex]Therefore, 2c is the answer.Hope it helps.
Good luck with your studies.
Answered by
~A lonely teen who helps people joyfully
Grace
what is the equation, in point-slope form, for a line that gies through (8, -4) and has a slope of -5/6?
Answer:
y+4=-5/6(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-5/6(x-8)
y+4=-5/6(x-8)
Please mark me as Brainliest if you're satisfied with the answer.
A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.
B no ........................
please help thx
calculate the value of x
calculate the value of y
calculate the value of z
Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work
=========================================================
Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = xThe hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode
1 3/8+3 1/3 please
Answer
Answer:
4 17/24
Step-by-step explanation:
3/8=9/24
1/3=8/24
8+9=17
sorry first know it had to be a fraction so I'm pretty sure this is what you are looking for 113/24.
Step-by-step explanation:
this is the right answer please mark me as Brainliest
hope this helps
the sum of -7x and 4x+2
pls help
please help! What is the remainder of the polynomial 2x3+7x2+2x+9 when divided by 2x+3
Answer:
3
Step-by-step explanation:
cool
x+2y=0
3x+4y=4
find the solution
Answer:
(x, y) = (4, -2)
Step-by-step explanation:
The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.
(3x +4) -2(x +2y) = (4) -2(0)
x = 4 . . . . . . . . . simplify
Substituting into the first equation, we have ...
4 +2y = 0
2 +y = 0 . . . . . . divide by 2
y = -2 . . . . . . . . subtract 2
The solution is (x, y) = (4, -2).
Find values for a and b for which x = 4 is a solution of the equation shown.
ax + 4 = 5x + b
The values of a and be for which x = 4 is a solution of the equation shown.
ax + 4 = 5x + b are infinitely many
The given equation is:
ax + 4 = 5x + b
To find the values of a and b in the equation at x = 4, substitute x = 4 into the equation
4a + 4 = 5(4) + b
4a + 4 = 20 + b
Collect like terms
4a - b = 20 - 4
4a - b = 16
Since there are two unknowns in just a single equation, the equation has more than 1 solution.
The values of a and be for which x = 4 is a solution of the equation shown.
ax + 4 = 5x + b are infinitely many
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