Answer:
Step-by-step explanation:
1). f(x) = 3x⁵
Step - 1
Convert the given function in the form of an equation.
y = 3x⁵
Step - 2
Interchange x by y.
Step - 3
Solve the equation for y
x = 3y⁵
y⁵ = [tex]\frac{x}{3}[/tex]
[tex]y=\sqrt[5]{\frac{x}{3}}[/tex]
Step - 4
Convert the equation into function.
[tex]f^{-1}(x)=\sqrt[5]{\frac{x}{3}}[/tex]
Correct.
2). f(x) = 3x + 7
Step - 1
y = 3x + 7
Step - 2
x = 3y + 7
Step - 3
3y = x - 7
y = [tex]\frac{1}{3}(x-7)[/tex]
Step - 4
[tex]f^{-1}(x)=\frac{1}{3}(x-7)[/tex]
Correct.
3). f(x) = 6 + 4x³
Step - 1
y = 4x³ + 6
Step - 2
x = 4y³ + 6
Step - 3
y = [tex]\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Step - 4
[tex]f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Incorrect.
height of cylinder is 24 mm and 8 mm radius whats the volume
Answer:
4825.49 mm^3
Step-by-step explanation:
V = (pi)(r^2)(h)
(pi)(8^2)(24) = 4825.48632 (round) 4825.49
hopefully this is right i haven't done cylinders in a while lol
megan bought 3 tickets to the ballet for $57.50. how many would it cost for her to buy 15 tickets.
Answer: $287.50
Step-by-step explanation:
Find out how much each ticket costs: 57.50/3= 19.17
Multiply that by 15: 19.7x15=287.5
Find the length of GH
Answer:
y=√(x1-x2)^2+(y1-y2)^2
y=√(-3-(-11))^2+(15-0)^2
y=√8^2+15^2
y=√64+225
y=√289
y=17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
x₁ = -3 and x₂ = -11
y₁ = 15 and y₂ = 0
√(-3 - -11)² + (15 - 0)²
√( 8² ) + ( 15² )
17
A clothing store buys jeans for $12 and marks them up 200% before selling them to customers. What is the selling price of the jeans? Group of answer choices
Answer:
The selling price = $36
Step-by-step explanation:
The Buying price or Cost (C) = $12Markup = 200%So
Percent Markup on Cost (M) = 200% of 12
= 200/100 × 12
= 2 × 12
= $24
Thus the selling price = Cost (C) + Markup (M)
= $12 + $24
= $36
Therefore, we conclude that:
The selling price = $36
1,000 divided by 3.85 with only remainders
Answer:
Its 259.740
Step-by-step explanation:
I used a calculator? Sorry if I dont have the "Remainders"
How many years will it take an initial investment of $25,000 to triple to $75,000 at an annual rate of 7% compounded continuously
Answer:
[tex]t = 15.7[/tex]
Step-by-step explanation:
Given
[tex]Principal = 25000[/tex] --- P
[tex]Amount = 75000[/tex] --- A
[tex]Rate = 7\%[/tex] --- R
Required
Determine the time (t)
Using continuous growth formula:
We have
[tex]A = Pe^{rt}[/tex]
Convert rate to decimal
[tex]Rate = 7\%[/tex]
[tex]r = 0.07[/tex]
Substitute values for A, P and r
[tex]75000 = 25000 * e^{0.07t}[/tex]
Divide both sides by 25000
[tex]3 = e^{0.07t}[/tex]
Rewrite the exponential function as logarithmic, we have:
[tex]ln3 = 0.07t[/tex]
Reorder
[tex]0.07t = ln3[/tex]
Divide both sides by 0.07
[tex]t = \frac{ln3}{0.07}[/tex]
[tex]t = \frac{1.09861228867}{0.07}[/tex]
[tex]t = 15.69[/tex]
[tex]t = 15.7[/tex]
Hence, the time is approximately 15.7 years
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
when babysitting for x hours. How much money will he make for 2 hours of
babysitting work?
018
0 -3
2
02
Answer:
A 18
Step-by-step explanation:
f(x) = 4x + 10
f(2) = 4(2) + 10
f(2) = 8 + 10
f(2) = 18
18 money will he make for 2 hours of babysitting work
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
function f(x) = 4x + 10
The function models the amount of money Francis makes when babysitting for x hours.
We need to find the money he make for 2 hours of babysitting work.
To find this we just need to plug in x value as 2 in function
f(2)=4(2)+10
=8+10
18
Hence, 18 money will he make for 2 hours of babysitting work
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Maria, Josh, and trey have a total of 160 in their wallets. Josh has 10 less than Maria. Trey has 4 times what Josh has. How much do they have in their wallets?
Step-by-step explanation:
Marie had 160
Josh has 150
Trey has 600
Which is the correct answer?
A. The equation has one valid solution and no extraneous solutions.
B. The equation has one valid solution and one extraneous solution.
C. The equation has two valid solutions and no extraneous solutions.
D. The equation has no valid solutions and two extraneous solutions.
Answer:
I think that it is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
If Alejandro walks 3 miles in 43 minutes, then how far will Austin walk in 93 minutes?
Answer:
Step-by-step explanation:
43min=3miles
93min=3*93=279/43
austin will walk 6.488miles for 93 minutes
During migration, a gray whale swam 5,040 miles, The whale swam a total of 672 miles during its first 7 days of migration. If the wliale swam at the same rate during the entire migration, how many miles did it swim during the first 30 days of migration?
Answer: 1,176
Step-by-step explanation:
what point will correspond to the rightmost point on the reflected figure?
Answer:
Point C because your reflecting and thats the midpoint and can i have brainiest
Step-by-step explanation:
guys i need help asap someone good with geomtry???
Answer:
[tex]CF<BC<BF[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]
Question
A sphere has a radius of 3.6 centimeters. Find its a. volume and b. surface area. Use 3.14 for at. Round the answers to the
nearest hundredth.
Answer:
195.45 in
Step-by-step explanation:
Step one:
given
sphere has a radius of 3.6 centimeters.
Required:
the volume of a sphere
The formula for the volume is
V=4/3πr^3
Step two:
subsituting we have
V=4/3*3.142*3.6^3
v=4/3*3.124*46.65
v= 586.37/3
v=195.457 in
to the nearest hundreth 195.45 in
the length of a rectangle is (2x+4) and the width is (3x-2) with a perimeter of 104. Write and solve an equation for the length and width of the rectangle. Then explain your answer.
help please and hurry!
When isabel began her book selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent a warehouse.
The are of the warehouse is 8100 square feet. Her only requirement is it must be squared. write a function that expresses f(x)
Answer:
x is the sidelength of the square;
f(x) = x^(2)
8100 = x^(2)
90 = x
The bakers at Healthy Bakery can make 170 bagels in 2 hours. How many
bagels can they bake in 14 hours? What was that rate per hour?
Given:
The bakers at Healthy Bakery can make 170 bagels in 2 hours.
To find:
How many bagels can they bake in 14 hours and the rate per hour.
Solution:
We have,
Number of bagels the bakers can bake in 2 hours = 170 bagels
Number of bagels the bakers can bake in 1 hours = [tex]\dfrac{170}{2}[/tex] bagels
= 85 bagels
Therefore, the average rate is 85 bagels per hour.
Number of bagels the bakers can bake in 14 hours = [tex]14\times 85[/tex] bagels
= 1190 bagels
Therefore, the bakers can bake 1190 bagels in 14 hours.
15.
Find m of angle B
solve by the matrix method , x+y/5 -1=y-x
10x - 4y = 5 (if it requires shorten)
Step-by-step explanation:
x + y/5 - 1 = y - x
<=> (5x + y - 1.5)/5 = 5(y - x)/5
<=> 5x + y - 5 = 5y - 5x
<=> 5x + 5x + y - 5y = 5
<=> 10x - 4y = 5
The Gophers won 2/3 of their games. The Rattlers
won half of their games. Together, the teams
won 56 games. Both teams played the same
number of games. How many games did each
team win?
Answer:
48
Step-by-step explanation:
The silmutenous equations
2/3x + 1/2y = 56
X=y
find the value of x
a. 68
b. 44
c. 56
d. 22
Answer: x=68° because this triangle is a isoscele triangle which means that it haves 2 sides that are congruent and equivalent which means they have the same value and sides and are Congruent just means In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The value of angle [x] is equivalent to 44°.
What is Parallelogram? What is triangle? What is a expression? What is a mathematical equation?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as - equilateral triangle , scalene triangle , isosceles triangle etc.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.We have a triangle as shown.
We know, the angles opposite to equal sides are equal.
So, we can write -
x + 68° + 68° = 180°
x = 180° - (136°)
x = 44°
Therefore, the value of angle [x] is equivalent to 44°.
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help me with my homrwork
Answer:
divide 19400000 and 51000
answer will be 380.39
PLEASE HELP ME I AM TIMED
Need help with this ASAP
Given:
[tex](3x-2)^9[/tex]
To find:
The coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex].
Solution:
We know that, in the expansion of [tex](x+y)^n[/tex],
[tex]T_{r+1}=^nC_rx^{n-r}y^r[/tex] ...(i)
[tex](3x-2)^9[/tex] has only one x and in [tex]x^6[/tex], the power of x is 6. It is possible if
[tex]n-r=6[/tex]
[tex]9-r=6[/tex]
[tex]9-6=r[/tex]
[tex]3=r[/tex]
Putting n=9, r=3, x=3x and y=-2 in (i), we get
[tex]T_{3+1}=^9C_3(3x)^{9-3}(-2)^3[/tex]
[tex]T_{4}=\dfrac{9!}{3!(9-3)!}\times (3x)^{6}(-8)[/tex]
[tex]T_{4}=\dfrac{9\times 8\times 7\times 6!}{3\times 2\times 1\times (9-3)!}\times (729x^{6})(-8)[/tex]
[tex]T_{4}=84\times (729)\times (-8)\times x^{6}[/tex]
[tex]T_{4}=-489888x^6[/tex]
Therefore, the coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex] is -489888.
A cookie recipe calls for 3 cups of sugar and yields 24 cookies how much sugar will be needed to make 3 dozen cookies
Answer:4.5 cups of sugar
Step-by-step explanation:
Okay so 24 cookies is 2 dozen
1 cup of sugar would be used for every 8 cookies
3 dozen is equal to 36 cookies
36/8=4.5 so you would need 4.5 cups of sugar
2 What is the GCF of y2(y + 1) and y(y + 2)?
Answer:
the answer is Y
Step-by-step explanation:
The greatest common factor (GCF) of two polynomial expressions is y.
The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.
To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
The only factor that both polynomials have in common is y, so the GCF is y.
Here is the solution in more detail:
Factor each polynomial.
y2(y + 1) = y(y)(y + 1)
y(y + 2) = y(y + 2)
Find the factors that are common to both polynomials.
The only factor that both polynomials have in common is y.
The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.
The GCF is y.
Therefore, the GCF of y2(y + 1) and y(y + 2) is y.
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Sra. Niccoli used 3/4 cups of sugar, 1/2cup of flour and 2 1/4
cup of chocolate chips to make a batch of cookies. How
many cups of ingredients did she use for her cookies?
What is this division or multiplication and what fractions?
Answer:
3/4+1/4=4/4=1
1+ 1/2=1 1/2 cups
Step-by-step explanation:
. Vacation Days If the average number of vacation days for a selection of various countries has a mean of 29.4 days and a standard deviation of 8.6, find the z scores for the average number of vacation days in each of these countries.
Answer:
For Canada = -0.3953
For Italy = 1.46511
For USA = -1.9069
Step-by-step explanation:
Given:
Mean μ = 29.4 days
Standard deviation σ = 8.6
Missing Data
For
Canada = 26 days
Italy = 42 days
USA = 13 days
Find:
Z scores
Computation:
Z scores = [X-μ]/σ
For Canada
Z scores = [26-29.4]/8.6
Z scores = -0.3953
For Italy
Z scores = [42-29.4]/8.6
Z scores = 1.46511
For USA
Z scores = [13-29.4]/8.6
Z scores = -1.9069
The schoolyard has an area of 3864 ft.² The section that is in the shape of a triangle is used for picnic tables what is the area of the section for picnic tables
Step-by-step explanation:
Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.
46 x 46 = 2116
We then subtract this from 3846, so
3846 square feet - 2116 square feet = 1730