Answer:
602.88Step-by-step explanation:
[tex]V=\pi R^2\cdot H\\R=3\\H=12\\\\V=??\\\\V=\pi\cdot4^2\cdot 12\\\\V=162\pi\approx 602.88[/tex]
Find f(x) where
f(x) = 3x+2/x
Answer:
[tex] \huge f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]Step-by-step explanation:
to understand thisyou need to know about:inverse functionPEMDASgiven:[tex]f(x) = \frac{3x + 2}{x} [/tex]to find:[tex] {f}^{ - 1} (x)[/tex]tips and formulas:inverses of common function
[tex] + < = > - [/tex][tex] \times < = > \div [/tex][tex] \frac{1}{x} < = > \frac{1}{y} [/tex][tex]x ^{n} < = > \sqrt[n]{y} [/tex]let's solve:[tex]step - 1 : define[/tex][tex]f(x) = \frac{3x + 2}{x} [/tex][tex]step - 2 : solve[/tex][tex]substitute \: y \: for \: f(x) \\ y = \frac{3x + 2}{x} [/tex][tex]interchange \: x \: and \: y \: and \: swap \: the \: sides \: of \: the \: equation\\ \frac{3y + 2}{y} = x[/tex][tex]multiply \: both \: sides \: of \: the \: equation \: by \: y \\ \frac{3y + 2}{y} \times y = x \times y \\ 3y + 2 = xy[/tex][tex]move \: the \: constant \: and \: the \: expression \: to \: the \: right \: and \: left \: hand \: sides \: and \: change \: its \: sign \: respectively \\ 3y - xy = - 2[/tex][tex]factor \: out \: y \: from \: the \: expression \\ (3 - x)y = - 2[/tex][tex]divide \: both \: sides \: by \: 3 - x \\ \frac{(3 - x)y}{(3 - x)} = \frac{ - 2}{3 - x} [/tex][tex] y = \frac{ - 2}{3 - x} [/tex][tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function? *
Answer: $397 every year
Step-by-step explanation:
Prove that each of the expressions below are equivalent by evaluating the expressions given. Given g = 3.
15g-2(2g+6) and 11g-12
Answer with Step-by-step explanation:
We are given that
g=3
[tex]15g-2(2g+6)[/tex] and [tex]11g-12[/tex]
We have to prove that two expressions are equivalent by evaluating the expressions given
[tex]15g-2(2g+6)[/tex]
Substitute the value of g in the given expression
[tex]=15(3)-2(2(3)+6)[/tex]
[tex]=45-2(6+6)[/tex]
[tex]=45-2(12)[/tex]
[tex]=45-24[/tex]
[tex]=21[/tex]
[tex]11g-12[/tex]
Substitute the value of g in the given expression
[tex]=11(3)-12[/tex]
[tex]=33-12[/tex]
[tex]=21[/tex]
Hence,
15g-2(2g+6) = 11g-12 when g=3
Solve the following system of equations X – 2y = 14 x + 3y = 9
Shelter A has 500 beds and is 90% occupied. Shelter B is 60% occupied, the ratio of beds in Shelter A to Shelter B is 15:16
Answer:
800 bedsStep-by-step explanation:
Shelter A has 500 beds and is 90% occupied.
Number of occupied beds:
500*0.9 = 450The ratio of beds occupied in Shelter A to Shelter B is 15:16
450/x = 15/16x = 450*16/15x = 480Number of occupied beds in Shelter B is 480 which is 60% of total. Total number of beds is:
480/0.6 = 800Answer:
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
Step-by-step explanation:
There is 135 of masking tape on a roll. Henry has 6 rolls. How many feet of masking tape does he have in all?
What is the slope of (4,2) and (0,-1)
Step-by-step explanation:
The slope is m = -3 / -4 = 0.75
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2x-4=3^x+1
A.
x ≈ 3.25
B.
x ≈ 1
C.
x ≈ 2
D.
x ≈ 2.5
Answer: D. x ≈ 2.5
Step-by-step explanation: I circled the intersection in green in this attachment I provided.
As you can see, it's near 2.5 which is correct.
I really hope this is correct. I answered this one with confidence. Good luck on your test btw.
Answer:
D. x ≈ 2.5
Step-by-step explanation:
5/8 divided by 1 1/3 =?
Pleaseeee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = 7; y = 11
Step-by-step explanation:
AB = x
AB = CD
CD = 7 so....
x = 7
AD = y + x
AD = BC
BC = 18 so...
y + x = 18
y + 7 = 18 subtract 7 from 18
y = 11
Answer:
x = 7
y = 11
Step-by-step explanation:
Do you see those little arrow marks? Those indicate that if a side has those marks, they have the same length. If a side with one arrow is 7 units long, then it means that x = 7, because the side with x also has one arrow. Then, just plug in 7 into the y+x equation, and set it equal to the other side. (18).
y + 7 = 18; subtract 7 from both sides, to get x = 7; y = 11.
Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)
Please help with my math
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
T-Mobile was having a sale where the price of a new phone was 25% off the original price of $1000. How much is the sale price of the phone? *
Answer:
The phone is $750
Step-by-step explanation:
1000 divided by 25% is 250. 1000 minus 250 is 750. Hoped this helped
If 58 books are checked out of a class library, and 42 books are left on the
shelves, how many books in total belong to the class library?
7 = x/9 x =___ help
Answer:
x = 63
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable. (Also sorry I'm answering all these questions these are just some of my favorite math problems lol.)
A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?
Answer:
she has 90 feet of ribbon in total and she can cut 270 pieces
Step-by-step explanation:
there's 108 inches in 9 feet
108/4=27
now you have 10 rolls so multiply
27x10=270 ribbons
you have 10 rolls of 9 feet to make ribbons
10x9=90 feet
Answer:
1080 inches
Step-by-step explanation:
Use the gcf and the distributive property to express the sum as a product 18+27
Answer:
45
Step-by-step explanation:
18+27=9(2+3)=9(5)=45
The sum of the numbers 18 and 27 will be 45.
What is the greatest common factor?The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. The greatest common multiple is the common number multiplied by both numbers.
The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.
Given sum is 18 + 27. The greatest common multiple between the two numbers is 9 take it common and then solve.
E = 18+27
E =9(2+3)
E =9(5)=45
Therefore, the sum of the numbers 18 and 27 will be 45.
To know more about GCF follow
https://brainly.com/question/219464
#SPJ6
In a recent year, 23.7% of all registered doctors were female. If there were 54,400 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.
Answer:Total number of registered doctors=229, 536
Step-by-step explanation:
Let the total number of registered doctors be represented as x
Such that 23.7 % of female registered doctors is totals 54,400
To find the total number of registered doctors, we use the equation
23.7% x -= 54,400
Solving the equation we have
0.237 x x= 54,400
x= 54,400/0.237
x= 229, 535.86 rounded to 229, 536
x=Total number of registered doctors=229, 536
The exponent form of √7
3
is
Answer
[tex]\sqrt{63}[/tex]
Step-by-step explanation:
please help
solve c+23-16=100
Answer:
c=93
=23-16=7
7+93=100
hence proved
I need help solving this practice question. You have to state if the triangles are SSS, SAS, AA or if the triangles are equal.
Answer:
SSS
Step-by-step explanation:
if two of the sets of angles show they are congruent then the third set of angles must be congruent too. There are no sides showing they are congruent either.
Can someone help me with question 7
Answer: 25
Step-by-step explanation:
if she has 120 and if she has 20 leftover that means she used a 100. then u divide 100 by 4 cause it's a square and u get 25
help pls!! I appreciate it
Answer:
4/3v + 4 = 8
Step-by-step explanation:
The second option is the correct one because you will combine the like terms first.
Hope this helps, thank you !!
A married couple and their children buy tickets to a ball game. The tickets cost 25 dollars apiece, but each of their children gets a 20 percent discount. How much, in dollars, must the family pay for tickets?
please help!!! geometry homework.
PLEASE HELP THE ME THIS IS THE LAST QUESTION IN THE ASSIGNMENT PLEASE QUICK MATHHHHH
Answer:
3.35 km
Step-by-step explanation:
→ Divide the total distance by the number of laps
26.8 ÷ 8 = 3.35 km
Five thousand two and five hundred twenty-three millionths in decimal form
Answer:
5,002.0523
Step-by-step explanation:
Hope this helps!
You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. Write an inequality to determine how many miles you can ride for $20.
Answer: Maximum 6 miles
Step-by-step explanation: In total you have $20.
Base fare of taxi is $5.
Per mile cost is $2.50.
Your total cost is where x is the number of miles. Since you're on a budget of maximum $20, the cost should be less than or equal to $20. We can write:
To find how many miles we can write, let's solve the inequality:
.
This means 6 is the maximum number of miles you can ride with $20.
The Sognefjord is the deepest fjord in Norway at 1,308 metres (4,291 ft) If a submersible floating on the surface was to dive vertically at a rate of 35 meters a minute, how many minutes would it have been diving when it reached a point 48 meters from the bottom of the fjord?
Answer:
36 minutes
Step-by-step explanation:
Depth of the fjord = 1308 m
Rate at which the submersible dives = 35 meters/minute
Distance to the bottom of the fjord should be 48 m
Distance the submersible has to go underwater is [tex]1308-48=1260\ \text{m}[/tex]
Time is found by dividing the distance the submersible has to go underwater by rate at which the submersible dives
[tex]\dfrac{1263}{35}=36\ \text{minutes}[/tex]
The time taken by the submersible to dive the required distance is 36 minutes.
can someone please help? And can you also explain how to do it, because I forgot the steps on how to do it
Answer:
option 3) EF= -7 FG= -7
Step-by-step explanation
X= 1/2
EF= 2X-8
= 2 X 1/2 -8
=1 - 8
EF = -7
FG= 4X -9
= 4X 1/2
2 - 9
FG = -7