The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The inverse of the logarithmic function [tex]f(x) = \log_{0.5} x[/tex] is [tex]f^{-1}(x) = 0.5^x[/tex]
For x = −1 in the inverse function, then the value of a will be
[tex]f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2[/tex]
The value of a is 2.
For x = 0 in the inverse function, then the value of b will be
[tex]f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1[/tex]
The value of b is 1.
For x = 2 in the inverse function, then the value of c will be
[tex]f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25[/tex]
The value of c is 2.
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Answer:
a.2
b.1
c.0.25
Second part: Graph B (2nd) one
Step-by-step explanation:
Given the function, f(x)= VX+2-3, choose the correct transformation.
left 2, down 3
O left 2, up 3
O right 2, down 3
O right 2, up 3
Juan has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $265.36.
He buys 2 bicycle reflectors for $13.61 each and a pair of bike gloves for $37.11.
He plans to spend some or all of the money he has left to buy new biking outfits for $54.87 each.
What is the greatest number of outfits Juan can buy with the money that's left over?
Answer:
Juan can buy 6 outfits with the money that's left over.
Step-by-step explanation:
Take $640-$265.36-$13.61-$37.11 and then divide
the answer, $332.92 by $54.87.
Juan spent a total of $316.08 on the bicycle, reflectors, and gloves. With the remaining $323.92, he can buy a maximum of 6 biking outfits priced at $54.87 each.
Given that,
Juan has $640 to spend at a bicycle store for new gear and biking outfits.
He buys a new bicycle for $265.36.
He buys 2 bicycle reflectors for $13.61 each.
He buys a pair of bike gloves for $37.11.
To determine the greatest number of outfits Juan can buy with the money he has left,
Calculate the remaining amount after purchasing the bicycle, reflectors, and gloves.
Juan's initial budget is $640.
After buying the bicycle for $265.36, the remaining amount is,
$640 - $265.36 = $374.64.
Next, he buys 2 bicycle reflectors for $13.61 each, which is a total of
2 x $13.61 = $27.22.
Subtracting this amount from the remaining budget, we have
$374.64 - $27.22 = $347.42.
Additionally, he purchases a pair of bike gloves for $37.11, leaving him with $347.42 - $37.11 = $310.31.
Finally, dividing the remaining budget by the cost of each biking outfit, which is $54.87,
Then Juan can buy a maximum of $310.31 / $54.87 ≈ 6 outfits.
Therefore, the greatest number of biking outfits Juan can buy with the money left over is 6.
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You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
inches across at the widest point. how many cubic inches of water is needed to
fill the glass? enter the answer exactly as it appears on your calculator. no
rounding this time.
area of composite figuresssss
Answer:
Hope the picture will help you.
Find the surface area of the rectangular prism.
1 km
1 km
2 km
Answer:
km?
Submit Answer
attempt 2 out of 2
Answer:
5 km.
Step-by-step explanation:
Surface area is lw + hw + lh.
(1 x 1)+(1 x 2)+(1 x 2)
1 + 2 + 2
1 + 4
5 km.
multiply (x-3)(x-6) with steps please
se upper and lower sums to approximate the area of the given region and given number of subintervals.
1. = from x=0 to x=1 with 4 subintervals.
2. = 4― from x=0 to x=2 with 4 subintervals.
3. = 1
from x=1 to x=2 with 5 subintervals.
The estimated areas are listed below:
The area of the function is approximately 0.806.The area of the function is approximately 2.088.The area of the function is approximately 0.696.How to approximate the area of a given region with a given number of subintervals
Right Riemann sum based on trapezoids offer a compact method that combines upper and lower sums, which is defined below:
[tex]A = \frac{b-a}{2\cdot n}\cdot \sum_{i = 0}^{n-1} [f(x_{i})+f(x_{i+1})][/tex] (1)
Where:
b - Upper bounda - Lower boundn - Number of subintervalsi - Subinterval indexIn this question we must apply right Riemann sums to estimate the areas of functions on given intervals. Now we proceed to solve each case below:
Case I ([tex]f(x) = \sqrt{x}[/tex], [tex]a = 0[/tex], [tex]b = 1[/tex], [tex]n = 4[/tex])[tex]A = \frac{1-0}{2\cdot (4)} \cdot [(0+\sqrt{0.5})+(\sqrt{0.5} + 1)+(1+\sqrt{1.5})+(\sqrt{1.5}+2)][/tex]
A ≈ 0.806
The area of the function is approximately 0.806. [tex]\blacksquare[/tex]
Case II ([tex]f(x) = 4\cdot e^{-x}[/tex], [tex]a = 0[/tex], [tex]b = 2[/tex], [tex]n = 4[/tex])[tex]A = \frac{2-0}{2\cdot (4)}\cdot [(4+1.472)+(1.472+0.541)+(0.541+0.199)+(0.199-0.073)][/tex]
A ≈ 2.088
The area of the function is approximately 2.088. [tex]\blacksquare[/tex]
Case III ([tex]f(x) = \frac{1}{x}[/tex], [tex]a = 1[/tex], [tex]b = 2[/tex], [tex]n = 5[/tex])[tex]A = \frac{2-1}{2\cdot (5)} \cdot [(1+0.833)+(0.833+0.714)+(0.714+0.625)+(0.625+0.556)+(0.556+0.5)][/tex]
A ≈ 0.696
The area of the function is approximately 0.696. [tex]\blacksquare[/tex]
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Brad has a garden with dimensions 12 feet long x 7 feet wide. He wants to enlarge the garden to an area of 119 square feet. How much farther will he need to extend the length of the garden to attain his desired area?
Answer:
5 more feet
Step-by-step explanation:
iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119
math work pls help!!
Answer:
Step-by-step explanation:
The graph is generally increasing. Thus, as the weight increases, the cost increases with it.
What is the difference between the mean and median of the set {3,8,10,15}?
Answer:
the difference is 0
Step-by-step explanation:
[tex]\large \text Mean =\frac{3+8+10+15}{4} = 9[/tex]
[tex]\large \text{Median} =\frac{8+10}{2} =9[/tex]
the difference = 9 - 9 = 0
How do you find perimeter?
pls help with number 27 to find the area 20 points for awnser and thank you brainly people for helping me so much!
Answer:
27 cm²
Step-by-step explanation:
Refer to the attachment for visual reference.
First, divide into each rectangles or squares.
Then find the areas individually.
After that, combine all areas and that is the area of figure.
Area of Rectangle
A = width * length (Keep in mind that width is always less than length.)
Area of Square
A = side * side
Unit for area is cm² because we are finding area which is two dimensional.
Please help me with this please and thank you
Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
Do number 9 please thank you
Answer:
82cm
Step-by-step explanation:
ihope it helps thanks
Subtract.
13 5/8- 3 2/3
HELPPPP IM LITERALLY GONNA FAIL
13/1 × 5/8 - 3/1 × 2/3
= 13×5 / 1×8 - 3×2 / 1×3
= 65/8 - 6/3
= 195/24 - 48/24
=147/24
=49/8
Solve for bbb.
-11b+7 = 40−11b+7=40
b=-3
Step-by-step explanation:The equation, -11b + 7 = 40, can be solved using the properties of equality.
Solving For b
First, subtract 7 from both sides
-11b = 33Then, divide both sides by -11
b = -3Checking the Answer
We can check our answer by plugging the answer back into the original equation.
First, rewrite the equation with the answer
-11(-3) + 7 = 40Next, multiply out the terms
33 + 7 = 40Then, add together like terms
40 = 40Because this is a true statement, the answer must be correct.
Indicate, in standard form, the equation of the line passing through the given points.
E-2, 2), 25, 1)
Enter your answer in the blank equation box.
Answer:
x + 27y - 52 = 0.
Step-by-step explanation:
The slope of the line = (y2-y1)/(x2-x1)
= (1-2)/(25- (-2))
= -1/27
Using the point slope form of a straight line:
y - 2 = -1/27(x- (-2))
y - 2 = -1/27x - 2/27
y = -1/27x - 2/27 + 54/27
y = -1/27x + 52/27
Multiply through by 27:
27y = -x + 52
x + 27y - 52 = 0 <------- Standard form.
Which functions have a horizontal asymptote? y = f(x) y = h(x) y = g(x) y = k(x)
Each function out of the given 4 functions has a horizontal asymptote.
What is an asymptote?An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.
Mathematically, if y=k is a horizontal asymptote for a function x=f(y) the limiting value of the function is infinity as y→k.
Out of the given curves, for every curve limiting value of the function tends to infinity as y→0
So, each function out of the given 4 functions has a horizontal asymptote.
Therefore, each function out of the given 4 functions has a horizontal asymptote.
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Answer:
All of them
Step-by-step explanation:
i need help im stuck lol
Answer: Angle A = 120 degrees.
Step-by-step explanation:
Answer:
50 degrees sorry if wrong
Step-by-step explanation:
KITE is a kite.
a. Find the length of KI.
b. Find the length of IT.
Round your answers to the nearest hundredth.
Answer:
KI = 4.47
IT = 6.32
Step-by-step explanation:
KI
2²+4² = 4+16 = 20
The square root of 20 is 4.47
IT
2²+6² = 4 + 36 = 40
The square root of 40 is 6.32
How many solutions does the equation 4x 8 = − 2 − 2 5x have? two one zero infinitely many
The equation 4x + 8 = -2 - 2 + 5x has one solution
How to determine the number of solutions?The equation is given as:
4x + 8 = -2 - 2 + 5x
Collect like terms
4x - 5x = -2 - 2 - 8
Evaluate the like terms
-x = -12
Divide both sides by -1
x = 12
The above means that the equation 4x + 8 = -2 - 2 + 5x has one solution
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Answer:
it does have one solution
Step-by-step explanation:
The International Club has $547. They decide to sell chocolate bars to raise more money.
They buy 140 chocolate bars for $0.59 each and then sell them for $1.50 each.
Which of the equations below models this situation and can be solved to find x, the amount of money the International Club has after they sell all of the chocolate bars?
$547 + 140($1.50 – $0.59) = x
$547 + 140($0.59) + 140($1.50) = x
$547 + 140($0.59 – $1.50) = x
140($547 – $0.59 + $1.50) = x
Answer:
A) $547 + 140($1.50 - $0.59)=x
Step-by-step explanation:
you would have $547 dollars to start them you would multiply 140 by the amount you sell the bars for subtracted by the amount you paid for them because you dont get to keep that money
iready help me pleeeaseeeee
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
24/5
Decimal Form:
4.8
Mixed Number Form:
4 4/5
ONE VARIABLE INEQUALITIES WORD PROBLEM ••Ben is twice his brother's age. If the sum of
their ages is below 81, how old could Ben's brother
be
Answer:
27
Step-by-step explanation:
Let brother's age = x
Ben age = 2x
2x+x =81
3x =81
x =27
Ben's brother's = 27
I NEED HELP ASAP AND WILL GIVE BRAINLIEST
Rachel had a total of 854 local and foreign stamps. 3/7 of the stamps were foreign stamps. After her father gave her more foreign stamps, the fraction of the stamps that were foreign stamps became 2/3. How many foreign stamps did Rachel’s father give her?
Answer:
27 other stamps
Step-by-step explanation:
if you take the 88 percent and turn it into a decimal you get .88 Than you multiply .88 times the 225 stamps and that gives you 198 stamps. But that is not the answer because that is the number for foreign stamps and its asking how many other stamps are there. so you would do 225-198 stamps and get the left over 27 stamps!
Help which one is propotional?
Answer: C
Step-by-step explanation: Because that table is showing (x - y)
The painting shown on the right has an area of 300 in^2. what is the value of x?
Answer: X = 10.20240940...
Step-by-step explanation:
x(2x + 9) = 2x^2 + 9x
2x^2 + 9x = 300
- 300 ON BOTH SIDES
2x^2 + 9x - 300 = 0
SOLVE USING THE QUADRATIC FORMULA
x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)
When all the values are plugged in:
When using "+" in the equation you should get:
x = 10.20240940…
When using "-" in the equation you should get:
x = −14.70240940…
Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...
YOUR ANSWER IS: x = 10.20240940...
Give full working and explanation
And I reward you with stars.
Answer this easy question ;-)
Answer:
1309 marbles
Step-by-step explanation:
Kadon has 727 marbles.Simon has: 727 - 145 = 582 marblesAll together:
Kadon marbles + Simon marbles727 marbles + 582 marbles1309 marblesThe proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. what is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.04 0.5160 0.21 0.5832 0.37 0.6443 0.38 0.6481 0.39 0.6517 1.00 0.8413 2% 17% 58% 65%
Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.
The z-score is given as
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be
For x = 0.37, then we have
[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]
For x = 0.39, then we have
[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]
Then the probability will be
[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]
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Answer:
B. 17%
Step-by-step explanation:
Got it from a quizlet with very many five star reviews
If 700, 300-pound buckets each had x rocks and each rock weighed 0.25 pounds how many pounds are in each bucket
Answer:
1200
Step-by-step explanation:
buckets can hold 300 ponds so 0.25 divided by 300
