Answer:A ($139.26)
Step-by-step explanation:
Consider the function f(x)=√2x−6. If f−1(x) is the inverse function of f(x), find f−1(−4).
To find the inverse function f−1(x) for f(x)=√(2x−6), we first express f(x) as y, swap x and y, remove the square root by squaring both sides, solve for y, and substitute -4 into the new expression. This calculation reveals that f−1(-4) is 11.
Explanation:To find the value of f−1(-4) for the function f(x)=√(2x−6), we need to find the value of x such that f(x) equals -4. Here is how to find the inverse function:
First, replace f(x) with y: y = √(2x−6).Next, swap x and y to begin finding the inverse: x = √(2y−6).Square both sides to eliminate the square root: x² = 2y − 6.Rearrange the equation to solve for y: 2y = x² + 6.Divide both sides by 2: y = (x² + 6)/2.This new y is actually f−1(x), the inverse function.To find f−1(-4), substitute -4 into the inverse function:
y = ((-4)² + 6)/2
y = (16 + 6)/2
y = 22/2
y = 11
Therefore, f−1(-4) = 11.
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To find f−1(−4) for the function f(x) = √(2x − 6), solve for x in terms of y, square both sides, solve for x, and then substitute the value to find that f−1(−4) equals 11.
To find the value of f−1(−4) for the function f(x) = √(2x − 6), follow these steps:
Solve for x in terms of y by setting y = f(x):
y = √(2x − 6)
Square both sides to eliminate the square root:
y2 = 2x − 6
Solve for x:
x = (y2 + 6) / 2
Replace y with x to get f−1(x):
f−1(x) = (x2 + 6) / 2
Now, find f−1(−4):
f−1(−4) = (−42 + 6) / 2 = (16 + 6) / 2 = 22 / 2 = 11
Thus, the value of f−1(−4) is 11.
I need 152 pencils and each pencil cost $2.00 each box comes with 5 pencils each.how many pencils will it take to get 152
For this case we have that each pencil box has 5 pencils, so:
[tex]\frac {152} {5} = 30.4[/tex] pencil boxes, this can be rounded to 31 pencil boxes.
On the other hand, if we have each pencil cost $2 then:
[tex]152 * 2 = 304[/tex]
Thus, the 152 pencils cost $304
Answer:
31 pencil boxes
152 pencils cost $304
8. An 18-foot ladder is placed 5 feet from a wall. How far up the wall does the ladder
reach?
Answer: is it 13 feet up?
number 24 only A B C and D
Answer:
a) V = 288 - h
b) (0,288)(1,276)(2,264)(3,252)(4,240)
c) graph the above point
d) Volume decreases as height increases
Step-by-step explanation:
Step 1 :
a)
The given equation is V = 12(24-h)
Using the distributive property we have
V= 12*24 - 12 * h = 288-h
b)
The ordered pairs (h,V) can be obtained by giving different values for h and computing the corresponding V values
When h = 0 ,V= 288 -0= 288
When h = 1 ,V= 288 -12*1= 276
When h = 2 ,V= 288 -12*2= 264
When h = 3 ,V= 288 -12*3= 252
When h = 4 ,V= 288 -12*4= 240
Hence the ordered pairs are (0,288)(1,276)(2,264)(3,252)(4,240)
Step 3 :
The above points can be graphed using the values of h in the x axis and the values of V in the y axis
Step 4:
The above equation shows that the value of the volume V decreases as the value of h increases and becomes negative for values of h >24
Given: 123,456,789. What place is the “2” in?
What percent of $4 equals $1
Answer:
25%
Step-by-step explanation:
25% is 1/4(one-fourth)
4 dollars times 1/4 is 1 dollar.
Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month?
A $750,000
B $75,000
C $15,000
D $1,500
Solve square root of -144?
Step-by-step explanation:
[tex] \sqrt{ - 144} = \sqrt{144 \times ( - 1)} \\ = \sqrt{144} \times \sqrt{ - 1} \\ = 12 \times i.. (\because i^2 =-1)\\ = 12i \\ \\ \therefore \: \sqrt{ - 144} = 12i[/tex]
Answer:
[tex]=12*i[/tex]
Step-by-step explanation:
Given: [tex]\sqrt{-144}[/tex]
The square root of some negative value can be find by splitting it in the way given below:
[tex]\sqrt{-144}= \sqrt{144*(-1)}[/tex]
[tex]=\sqrt{144} *\sqrt{-1}[/tex] as,
[tex]\sqrt{144}=12 \\\sqrt{-1}=i[/tex]
[tex]\sqrt{-144}[/tex] [tex]=12*i[/tex]
Ronald and Tyler met for dinner in downtown Newport. Ronald did flat-rate valet parking for $12. Tyler went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?
Answer:
[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]
Step-by-step explanation:
[tex]Let\ both\ spend\ x\ hours[/tex]
Payment by Ronald:
[tex]Ronald\ paid\ \$ 12.[/tex]
Payment by Tyler:
[tex]Tyler\ paid\ $4\ up\ front\ and\ $4\ per\ hour\\\\Total\ amount\ paid\ by\ Tyler=4+4\times number\ of\ hours\\\\Total\ amount\ paid\ by\ Tyler=4+4\times x\\\\Total\ amount\ paid\ by\ Tyler==4+4x[/tex]
[tex]Amount\ paid\ by\ both\ of\ them\ are\ equal\\\\4x+4=12\\\\4x=12-4\\\\4x=8\\\\x=2[/tex]
[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]
Step 1: Draw in radii OK and NL. Since OK and JK are radii of the same circle,
they are( FILL IN THE BLANK)
This means that OK = 12. Add the length of OK to the
diagram
Answer:
Equal
Since OK and JK are radii of the same circle, they are equal. This means that OK = 12.
Step-by-step explanation:
Edge 2021
How do you use a calculator
Answer
Push in the numbers you want to find the answer to and click the equal sign.
Answer:
First, you get a calculator or open a calculator app on you computer. Second, you press in any number you like. Ex. 125. (There are limits of how many digits can go in a calculator). Third, You press symbols on the calculator. Ex. %, - + etc. Fourth, You press the equals sign. ( = ) You can add numbers and symbols on your total. Warning: If you want a quotient with a remainder, don't use a calculator. It'll give you a decimal. Not a quotient with a remainder.
I hope this helps and could you give me the brainiest if possible? Thanks. : )
Step-by-step explanation:
Plant B is 6 2/3 inches tall. and C is 4 4/15 inches tall. Complete the sentences and show your reasoning
Plant C is (answer) times as tall as plant B
Plant C is (answer) inches (answer) taller or shorter than plant B
Answer:
Step-by-step explanation:
Plant B is taller than Plant C. We need to determine by how much. To do this, we divide 6 2/3 inches by 4 4/15 inches. The LCD is 15, and so we have:
6 10/15 100/15
----------- or ------------- = 100/64 = 20/16 = 5/4
4 4/15 64/15
Plant B is 1 and 1/4 times taller than Plant C. This can be restated as Plant C is four fifths as tall as Plant B.
Plant C is shorter than Plant B, as we saw earlier. The difference is found through subtraction: 100/15 - 64/15 = 36/15 inches = 12/5 inches shorter, or 2 2/5 inches shorter
Plant C is approximately 12 4/5 times as tall as Plant B. Plant C is approximately 2 2/5 inches shorter than Plant B.
Explanation:To find out how many times larger Plant C is compared to Plant B, we need to divide the height of Plant C by the height of Plant B. In this case, Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.
So, the calculation would look like this:
4 4/15 ÷ 6 2/3
To divide fractions, we need to convert the mixed numbers into improper fractions. So, Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.
Now we can divide the fractions:
64/15 ÷ 20/3 = (64/15) x (3/20)
Cancel out common factors:
64/5 ÷ 1/1 = 64/5 = 12 4/5
Plant C is approximately 12 4/5 times as tall as Plant B.
To find out whether Plant C is taller or shorter than Plant B, we need to subtract their heights. Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.
So, the calculation would look like this:
4 4/15 - 6 2/3
Again, we need to convert the mixed numbers into improper fractions:
Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.
Now we can subtract the fractions:
64/15 - 20/3 = (64/15) - (20/3
To subtract fractions, we need to have the same denominator. So, we need to find a common denominator for 15 and 3, which is 15.
64/15 - 100/15 = -36/15 = -2 6/15 = -2 2/5
Plant C is approximately 2 2/5 inches shorter than Plant B.
Simplify the following expression by combining like terms: 8z2 − 3z − 5z2 − 4z
Answer:3z2-7z
Step-by-step explanation: First, subtract the 5z2 from the 8z2. Then, combine the last two like terms which are -3z and -4z.
Lastly, combine everything in biggest to lowest exponent. Which is z2 and lowest is z.
Which would be a reasonable first step in solving the equation 6(x+4)=75
Answer:
x = 8 3/6
Step-by-step explanation:
6(x+4) = 75
6X+24 = 75
-24 = -24
6x -0 = 51
6x/6 = 51/6
x = 8 3/6
The first step in solving equation is divide by 6 both side and x = 8.5.
What is simplification?To simplify simply means to simplify something. Simply or simplification in mathematics refers to simplifying an expression, fraction, or problem. By writing the fraction in its simplest or lowest form and canceling all common factors from both the numerator and denominator, it simplifies fractions and makes the problem easier to solve.
Given 6(x + 4) = 75
divide both side by 6
(6(x + 4))/6 = 75/6
x + 4 = 12.5
subtract 4 from both sides
x + 4 - 4 = 12.5 - 4
x = 8.5
Hence value of x is 8.5 and first step in solving the equation is divide by 6.
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10. Write an equation in slope-intercept form for a line that is parallel to the line
y= 2/5x +1
If two lines are parallel to each other, then they have the same slope, but different y-intercepts.
So any y-intercept works basically
You could do y=2/5x+2 if you wanted or y=2/5x-7 or something like that
Hope this helped.
are y=2x+6 and 6t=2x+9 perpendicular
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x+9 y = 2 x + 9 must have a slope that is the negative reciprocal of the original slope.
Missing: 6t= | Must include: 6t=
Which is a simplified form of the expression -9(g + 2) – (g + 2)? A. -10g + 2 B. -10g – 2 C. -10g + 20 D. -10g – 20
Answer:
-10 (g + 2) thus a:)
Step-by-step explanation:
Simplify the following:
-9 (g + 2) - (g + 2)
-9 (g + 2) - (g + 2) = -10 (g + 2):
Answer: -10 (g + 2)
Four research teams each used a different method to collect data on how
fast a new brand of paint dries. Assume that they all agree on the sample size
and the sample mean (in minutes). Use the confidence level; confidence
interval) pairs below to select the team that has the smallest sample
standard deviation.
O
A. Confidence Level: 99.7%; Confidence Interval: 42 to 48
B. Confidence Level: 95%; Confidence Interval: 40 to 50
O
C. Confidence Level: 95%; Confidence Interval: 35 to 55
D. Confidence Level: 68%; Confidence Interval: 44.5 to 45.5
Answer:
Option D.
Step-by-step explanation:
Recall that the wider the confidence interval, the greater the variability.
In other words, wider confidence interval will have bigger sample standard deviation.
For option A, the width is |48-42|=6
For option B, the width is |50-40|=10
For option C, the width is |55-35|=20
For option D, the width is |45.5-44.5|=1
Therefore the team in option D has the smallest sample standard deviation.
As for the confidence level, it is just telling us the extent to which we confidence that, the parameter is within the interval
Answer: D
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!
Yes, because AB and CD are parallel and GH is perpendicular to CD, AB is perpendicular to GH. So you are right.
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
V = one-third pi (7 squared) (4) feet cubed
V = one-third pi (4 squared) (7) feet cubed
V = 3 pi (7 squared) (4) feet cubed
V = 3 pi (4 squared) (7) feet cubed
Answer:
V = one-third pi (4 squared) (7) feet cubed
Step-by-step explanation:
Volume of cone v = 1/3×π(r²h)
r = 4 and h = 7
V = 1/3 × π(4²×7)
Answer:
B
Step-by-step explanation:
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?
Answer:
a^2-9ab+3ab^2
Step-by-step explanation:
Solved on paper so i can't show work but I did it properly i swear
Answer:
if you found this off edge its Option B
Step-by-step explanation:
A laptop is $891.99 before sales tax. If the sales tax rate is 7.5%, find the total of the laptop WITH the sales tax included.
Answer:
958.88925
Step-by-step explanation:
the percentage of tax is that much of the total price. if there is 50% sales tax (unrealistic) and the item costs 100 dollars without any tax, then the tax would be 50 dollars. To find this, turn the percent into a decimal (move the decimal place to the left twice) and multiply that by the price. To do this with this problem, use this strategy. 891.99 times 0.75= 66.89925+891.99=958.88925. might need to be simplified tho, hope this helps
3x+6y=24 turned into a graphing equation
Answer:
Step-by-step explanation:
3x + 6y = 24
6y = -3x + 24
y = -3/6x + 24/6
y = -1/2x + 4 <=====
Kennedy won $3,000 from a radio contest. If she puts this money in a bank
account that earns 2.9% interest
compounded quarterly, how much total will she earn in 10 years?
$3933.28
$4005.09
$4915.59
$2979.81
Answer:
Step-by-step explanation:
4005.09
The amount that she earned in 10 years is $4,005.09.
Given that,
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly.And, the time period is 10 years.
Based on the above information, the calculation is as follows:
[tex]= \$3,000 \times (1+ 2.9\% \div 4)^{10\times 4}[/tex]
= $4,005.09
Here the rate of interest should be divided by 4 and time period should be multiplied by 4.
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Over what interval is the function in this graph constant?
10
-10+
O
A. -10 SXS-4
O B. -45xs1
C. 65x10
OD. 15x56
Answer:
1 ≤ x ≤ 6 (Answer D)
Step-by-step explanation:
Look for the stretch of graph that is horizontal. The function is constant on that time interval: from 1 to 6, or 1 ≤ x ≤ 6 (Answer D)
What is the slope of the line?
help
Use the red dots as two points in the line.
Slope = change in y over the change in x.
point 1: (-5,4)
Point 2: (5,-2)
Slope = (-2 - 4) / ( 5 - -5)
Slope = -2/10
Slope = -1/5
Answer:
3/-5
Step-by-step explanation:
The formula for the slope of a line is rise over run, rise/run
So from any given two points, you can calculate this.
rise is 3
run is 5, but it would be negative 5 because the slope of the line is negative.
what is 5 times 5
and also what is 5 plus 5 bc im rly silly
Answer:
5 x 5 = 25 and 5 + 5 = 10
Step-by-step explanation:
You multiply 5 Five times.
So you get 5,10,15,20,25!
The answer is 25
You add 5 two times.
So you get 5 plus 5!
5,6,7,8,9,10!
The answer is 10
Hope this helped!
~Oreo!!
Answer:
5x5=25
5+5=10
Step-by-step explanation:
if 8 and 15 are two smallest values in a pythagorean triple, what is the largest value, c, in the triple
Answer:
c = 17
Step-by-step explanation:
Use the Pythagorean Theorem to solve this problem.
The equation is a² + b² = c².
"a" and "b" are the length of the two shorter sides or values.
"c" is the length of the longest side or value, also the hypotenuse.
Since we know the two smaller values, we can replace "a" and "b" with 8 and 15. It does not matter which letter you decide to replace with which number.
Then simplify and isolate "c" to find the largest value.
a² + b² = c²
8² + 15² = c² Substitute "a" and "b". Square the numbers to simplify
64 + 225 = c² Add to simplify
289 = c²
√289 = √c² Square root both sides
√289 = c "c" will be isolated because √ and ² are reverse operations
c = √289 Put 'c' on the left side for standard formatting.
c = 17 Answer
Therefore the largest value, c, is 17 in the triple.
Final answer:
Using the Pythagorean theorem, a² + b² = c², we find that the largest value in the Pythagorean triple with the smallest values 8 and 15 is 17.
Explanation:
If 8 and 15 are the two smallest values in a Pythagorean triple, we can use the Pythagorean theorem to find the largest value, often denoted as c, in the triple. The formula for the Pythagorean theorem is a² + b² = c². Solving for c gives us c = √(a² + b²).
Using 8 as a and 15 as b, we can substitute these values into the equation:
c = √(8² + 15²)
c = √(64 + 225)
c = √289
c = 17
Therefore, the largest value in the Pythagorean triple is 17.
Question
The cost to rent a rug cleaner for d days is given by the polynomial 5.50d + 25. Find the cost to rent the cleaner for 6 days.
To find the cost of renting a rug cleaner for 6 days, given the polynomial 5.50d + 25, you substitute d with 6 and follow the calculation steps resulting in a total cost of $58.
Explanation:The cost to rent a rug cleaner for d days is given by the polynomial 5.50d + 25. To find the cost to rent the cleaner for 6 days, substitute d with 6 in the given polynomial.
Start by writing down the formula for the cost: 5.50d + 25.Substitute d with 6: 5.50 * 6 + 25.Perform the multiplication: 33 + 25.Add the results: 58.Therefore, the cost to rent the cleaner for 6 days is $58.
over three successive Collins build 1/3, 1/5 and 1/4 of the brickwork of his new garage. What fraction must he complete on the fourth and final day
Answer:
1 - 1/3 - 1/4 - 1/5
Step-by-step explanation:
Let's take it one step at a time.
Day 1 he completes 1/3 of the garage, so you subtract 1/3 from 1 which means he left 2/3
Day 2 he completed 1/4 more, so you again subtract, this time though 2/3 - 1/4, or in other words 1 - 1/3 - 1/4
So you do this one more time. 1 - 1/3 - 1/4 - 1/5
Can you handle this or do you need help with fraction subtraction.