if f(x)=1/9x-2, what is f^-1(x)?
Answer:
[tex]f^{-1}(x)[/tex] will be equal to 9y+18
Step-by-step explanation:
[tex]f^{-1}(x)[/tex] will be equal to 9y+18
A scale model of a ramp is a right triangular prism as given in this figure. in the actual ramp, the triangular base has a height of 0.5 yards. what is the surface area of the actual ramp, including the underside? enter your answer as a decimal in the box.
The surface area of the actual ramp including the underside is 16.8 ft²
The height of the actual ramp = 1.2 feet
The height of the model = 6 cm
What is the surface area of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm
Actual base = 16 cm × 0.2 ft/cm = 3.2 ft
convert the units
9 cm = 9 cm × 0.2 ft/cm = 1.8 ft
10 cm = 10 cm × 0.2 ft/cm = 2 ft
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)
= 16.8 ft²
Hence, the surface area of the actual ramp including the underside is 16.8 ft²
Learn more about the area here:
brainly.com/question/25292087
Answer:
7.2 yd² for K12
Find the value of x that makes line m ll n
Answer:
See below ↓
Step-by-step explanation:
14.
Between two lines m ║ n, the ∦ cuts through them forming two anglesAs it forms a line, the sum of the angles is 180°3x + 47 + x + 7 = 1804x + 54 = 1804x = 126x = 126/4 = 63/2 = 31.515.
Alternate exterior angles on a transversal are equal5x = 2x + 783x = 78x = 26An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step.
Answer:
Step-by-step explanation:
this is due today! please help and i will give 50 points
Answer:
D) 154 ft²
Step-by-step explanation:
Formula
Area of a rectangle = width x length
We only need to calculate the area of the walls.
There are two pairs of walls with the following dimensions:
5 ft x 7 ft6 ft x 7 ftTherefore, area to paint = 2(5 x 7) + 2(6 x 7)
= 70 + 84
= 154 ft²
Bottom cube 's LSA need to be counted
H=7ftL=6B=5LSA:
2H(L+B)2(7)(5+6)14(11)154ft²=
Find the area of a circle with a radius of 15 cm. (Use a = 3.14)
The area of the circle is_cm2. Round your solution to the
nearest hundredth, if applicable.
Step-by-step explanation:
Area of a circle = pi x r(squared)
= 3.14 x (15)2
= 3.14 x 225
=706.5cm2
help///////////llllllllll
Answer:
It is squash
Step-by-step explanation:
This is because for every 3 tomatoes there is one squash. 1 squash times 3 is 3. 3 tomatoes times 3 is 9.
why am I still in ambitious?! I have over a thousand points and 5 brainlest and you only need about 250 points and 5 brainlest?! what is going on ????
Answer:
has the app crashed, if not i dont know
The MOST precise measurements this ruler can give are to the nearest A) inch. B) half inch. C) eighth inch. D) quarter inch.
Brainliest if correct
Answer:
The answer is D
Step-by-step explanation:
Mark brainliest
1/6 of a birthday cake is left over from a party. The next day, it is shared among 7 people. How big A piece of the original cake did each person get?
Answer:
j
Step-by-step explanation:
Explanation:
Draw 6 identical rectangles side by side as shown in figure 1 in the diagram below. Shade one of the rectangles to represent 1/6 of the cake left over.
Now draw in horizontal lines (see figure 2) to split the leftover amount into 7 equal portions. Notice that we have a 7 by 6 grid of tiny rectangles. There are 7*6 = 42 tiny rectangles in total.
Each person will therefore get 1/42 of the original cake when splitting up this last leftover slice.
The numbers in any column row or diagonal in the gird below multiply to give an answer of 1 complete the grid
Step-by-step explanation:
Let’s just start with rows. I’m going to use a, b, and c for the missing numbers (a in the first row, b in the second, c in the third).
Row 1 — 5 × 4 × a = 1
20 × a = 1 → a = 1/20
Row 2 — b × 1 × 100 = 1
b × 100 = 1 → b = 1/100
Row 3 — 20 × 1/4 × c = 1
5 × c = 1 → c = 1/5
—
Check Columns:
5×1/100×20 = 5(20)/100 = 100/100 = 1 ✓
4 × 1 × 1/4 = 1 ✓
1/20×100×1/5 = 100/(20*5) = 100/100 = 1 ✓
Check Diagonals:
5 × 1 × 1/5 = 5/5 = 1 ✓
20 × 1 × 1/20 = 20/20 = 1 ✓
Pls help me on this problem I’m confused
5 quarts I think 4 cups per quart has 5 quarts and 2 cups I think
Answer:
1 quart = 4 cups
8 × 4 = 32
32 - 6 = 26
26 - 18 = 8
he has 2 quarts left
Jimmy invests $2000 in a money market account earning 8.5% interest compounded continuously. Which of the following is an equation that can be used to determine the value
of Jimmy's investment account after t years?
Answer:
[tex]A=2000e^{0.085t}[/tex]
Step-by-step explanation:
Make sure you understand the formula for continuous compounding first. The formula is:
[tex]A=Pe^{rt}[/tex] where
A= Total
P= Principal (or the amount invested at beginning)
r= Interest rate (as a decimal)
t= Time (in years)
Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “[tex]e^{x}[/tex].” On most calculators, it can be accessed by 2nd → ln.
Find the values that you are given:
A= What you are looking for
P= 2000
r= 8.5% as a decimal = 0.085
t= What you change
Plug these into the equation:
[tex]A=2000e^{0.085t}[/tex]
This is the answer!
If $1209 is deposited in an account that pays 8. 2% interest compounded monthly, what is the balance after 26 years? Use: A=P(1+r)t
Round to the nearest cent
Answer:
Step-by-step explanation:
We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.
[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]
A = $10,120.29
Change the following decimals to fractions give your answers in their simplest form a) 0.3 b) 0.46 c) 0.075
Answer:
[tex]0.3 = \frac{3}{10}\\\\ 0.46 = \frac{23}{50} \\\\0.075 = \frac{3}{40}[/tex]
Step-by-step explanation:
To convert decimals to fractions, you look at the place of the last digit of the fraction (i.e. the digit that the farthest right from the decimal)
For 0.3, 3 is in the tenths place, so we end up with the fraction [tex]\frac{3}{10}[/tex]
For 0.46, 6 is in the hundreths place, so before simplifying we have [tex]\frac{46}{100}[/tex]
The GCF of 46 and 100 is 2 so we divide the fraction by [tex]\frac{2}{2}[/tex] to get [tex]\frac{46}{100}[/tex] ÷[tex]\frac{2}{2}[/tex] = [tex]\frac{23}{50}[/tex]
For 0.075, the 5 is in the thousandths place, so before simplifying we have [tex]\frac{75}{1000}[/tex]
The GCF of 75 and 1000 is 25 so we decide the fraction by [tex]\frac{25}{25}[/tex] to get [tex]\frac{75}{1000}[/tex] ÷[tex]\frac{25}{25}[/tex] = [tex]\frac{3}{40}[/tex]
During taylor's experiment, which piece of data would be qualitative?
There isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
What is qualitative data?Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.
In contrast, there is quantitative data which can be expressed numerically.
The problem is missing its option, which are:
mass of the carsdegree of the ramp inclinetime in secondsnone are qualitativeMass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).
Thus, there isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
Learn more about qualitative and quantitative data here:
https://brainly.com/question/12929865
Which of the following is NOT a unit fraction? 7/11 1/16 1/50 1/2
Answer:
7/11
Step-by-step explanation:
This is the only fraction without a 1 in its numerator.
Answer:7/11
Step-by-step explanation: unit fractions have 1 unit like 1/2 1/3 1/100 but 7/11 is not have 1 numerator
Which ordered pair is a solution to the system of inequalities {y <3x-1
y>|x-2|
Answer:
(4, 4)
Explanation:
I have solved it using graph.(4, 4) is the only point which lies inside both of the inequalities.
pls can I get some help this is compound interest (10) will give brainliest
Answer:
2.7
Step-by-step explanation:
WILL GIVE BRAINLIEST, THANKS AND 5 STARS! PLEASE HELP! LOTS OF POINTS
Sam kicks a ball off of a rooftop. After t seconds, its height, h (in feet), is given by the formula
h (t) = -16t2 + 64t + 80.
*NOTE: Complete this without using graphing features on your calculator, and show all work for credit. You may type out your work or upload it in the next question.
a. What is the maximum height reached by the ball?
b. When did the ball reach its maximum height?
c. When will the ball hit the ground? (Do algebraically)
d. What is the height of the ball after 1 second?
(THIS IS A 4 PART QUESTION, PLEASE DO ALL PARTS!!!) PLEASE GIVE INDEPTH EXPLANATION FOR ALL PARTS!
Answer:
(a) 144 ft
(b) 2 s
(c) 5 s
(d) 128 ft
Step-by-step explanation:
[tex]h(t) = -16t^2 + 64t + 80[/tex]
Part (a)
To find the turning point of the parabola:
1. differentiate the function:
[tex]\implies h'(t) = -32t + 64[/tex]
2. Set it to zero and solve for t:
[tex]\implies h'(t) =0[/tex]
[tex]\implies -32t + 64=0[/tex]
[tex]\implies 32t = 64[/tex]
[tex]\implies t=2[/tex]
3. Input found value of t back into the function and solve for h:
[tex]\implies h(2) = -16(2)^2 + 64(2) + 80=144[/tex]
Therefore, the maximum height reached by the ball is 144 ft
Part (b)
As found in part (a), the maximum height is reached when t = 2, so the ball reached its maximum height at 2 seconds.
Part (c)
The ball will hit the ground when h(t) = 0
1. Set the function to zero
[tex]\implies h(t)=0[/tex]
[tex]\implies -16t^2 + 64t + 80=0[/tex]
2. Solve for t:
Divide both sides by 16
[tex]\implies -t^2 + 4t + 5=0[/tex]
[tex]\implies t^2 - 4t - 5=0[/tex]
Factor:
[tex]\implies t^2 +t-5t - 5=0[/tex]
[tex]\implies t(t+1)-5(t+1)=0[/tex]
[tex]\implies (t+1)(t-5)=0[/tex]
Therefore:
[tex](t+1)=0 \implies t=-1[/tex]
[tex](t-5)=0 \implies t=5[/tex]
As time is positive, t = 5
So the ball will hit the ground at 5 seconds.
Part (d)
To find the height of the ball after 1 second, input t = 1 into the function and solve for h:
[tex]\implies h(1) = -16(1)^2 + 64(1) + 80=128[/tex]
Therefore, the height of the ball after 1 second is 128 ft
--------------------------------------------------------------------------------------
Parts (a) & (b) - alternative method
Rewrite the function in vertex form by completing the square.
Set the function to zero:
[tex]\implies-16t^2 + 64t + 80=0[/tex]
Subtract 144 from both sides:
[tex]\implies -16t^2+64t-64=-144[/tex]
Factor out -16:
[tex]\implies -16(t^2 - 4t +4)=-144[/tex]
Factor expression in brackets:
[tex]\implies -16(t-2)^2=-144[/tex]
Add 144 to both sides:
[tex]\implies -16(t-2)^2+144=0[/tex]
Therefore:
[tex]\implies h(t)=-16(t-2)^2+144[/tex]
The maximum height is the y-value of the vertex.
The vertex is (2, 144) so the maximum height is 144 ft.
The time the ball reached the max height is the x-value of vertex.
So the time then the ball reached the maximum height is 2 s
enrollment is a business seminar increased from 50 people to 62 people. what was the percent increase?
well, it went up from 50 to 62, so it really went up by 12 folks.
if we take 50 to be the 100%, what is 12 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 50 & 100\\ 12& x \end{array} \implies \cfrac{50}{12}=\cfrac{100}{x}\implies \cfrac{25}{6}=\cfrac{100}{x} \\\\\\ 25x=600\implies x=\cfrac{600}{25}\implies x=24[/tex]
A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet
Given -
A rectangular bathroom mirror is 4 feet tall and 7 feet wide.ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .
To find -
the area of the mirrorSolution -
As we know to find the area of rectangle we use the formula, Area = L × B
Hence, we will be doing the same.
Area = 4 × 7
Area = 28 square feet
Answer:
28 sq. feet
Step-by-step explanation:
Given:-
The length of bathroom mirror :- 4 feetWidth :- 7 feetTo find:-
The area of the rectangular bathroom mirrorSolution:-
Area of rectangular bathroom mirror:- L × B
putting the values ,
Area :- 4 × 7 sq. feet
Area:- 28 sq. feet
what numbers are missing from the pattern 1,14,21,28,?,?,?,?,28,21,14,7 ?
Answer:
ANSWER1,14,21,28,35,42,42,35,28,21,14,7
Classify each polynomial expression by number of terms and by degree. Identify the leading coefficient.
Polynomial Expression
Term Name
Degree Name
Leading Coefficient
3+ 4+1
22
monomial
2+5
binomial
trinomial
[tex]__________________________[/tex]
2x^2 + 4x + 1Trinomial, it has 3 terms so it is a trinomial.2nd degree polynomial, its highest exponent in its variables is 2 so it is a 2nd degree polynomial2x^3Monomial, it is only 1 term so it is a monomial.3rd degree polynomial, its highest exponent in its variable is 3 so it is a 3rd degree polynomial.x + 5Binomial, it has 2 terms so it is a binomial.1st degree polynomial, the variable x has an invisible exponent of 1 so it is a 1st degree polynomial.What is the sum of the two amounts of money shown?
Enter your answer in the box.
$
first amount:
$10 + $5 + 25 cents + 25 cents + 25 cents + 5 cents + 5 cents $10 + $5 + $0.25 + $0.25 + $0.25 + $0.05 + $0.05$15.85second amount:
$5 + 25 cents + 25 cents + 1 cents + 1 cents + 1 cents + 1 cents$5 + $0.25 + $0.25 + $0.01 + $0.01 + $0.01 + $0.01$5.54total amount:
$5.54 + $15.85 $21.39Hey there!
Guide:
• Penny = 0.01¢ (1 cent)
• Nickel = 0.05¢ (5 cents)
• Dime = 0.10¢ (10 cents)
• Quarter = 0.25¢ (25 cents)
• Half dollar = 0.50¢ (50 cents)
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
EQUATION #1.
$10.00 + $5.00
= $15.00
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.25¢ + 0.25¢ + 0.25¢ + 0.05¢ + 0.05¢
= 0.75¢ + 0.10¢
= 0.85¢
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
$15.00 + 0.85¢
= $15.85
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Total/Answer: $15.85
______________________________
EQUATION #2.
$5.00 + 0.00
= $5.00
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.25¢ + 0.25¢ + 0.01¢ + 0.01¢ + 0.01¢ + 0.01¢
= 0.50¢ + 0.04¢
= 0.54¢
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
$5.00 + 0.54¢
= $5.54
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Total/Answer: $5.54
______________________________
NOW ADD THEM TOGETHER!
$15.85 + $5.54
= $21.39
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
pls help ASAP first correct answer gets brainleist
Answer:
4.58257569 meters (Could probably get away with rounding it to 4.6 meters)
Step-by-step explanation:
Pythag theorem
a^2 +b^2 =c^2
Insert your numbers
10^2+b^2=11^2
Simplify squares
100+b^2=121
subtract 100 from both sides
b^2=21
sqrt both sides
sqrt(b^2)=sqrt(21)
simplify sqrts to get b
b= 4.58257569
How do I solve this problem step by step?
Answer:
392.5 in²
Step-by-step explanation:
The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.
TrapezoidThe base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.
A = 1/2(b1 +b2)h
A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²
__
RectangleThe area of a rectangle is the product of its base and height.
A = bh
A = (20 in)(16 in) = 320 in²
__
Total areaThe area of the whole figure is the sum of the areas of its parts.
area = trapezoid area + rectangle area
area = 72 1/2 in² +320 in² = 392 1/2 in²
Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?
Answer:
$7.13
Step-by-step explanation:
Very simple, we subtract 12.87 from 20 and the answer is 7.13.
So should get back $7.13 as her change
what is a solution in 6th-grade math?
Answer:
A solution means any variable that makes the equation true