In mathematics, an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x. The inverse function of f is also denoted as
i dont want to give you the complete answer but i do want to help this is what an inverse function is.
Answer:
false brainily plz?:)
Step-by-step explanation:
Shen has to carry 316 apples from a farm to the market. How many baskets will he need, given that each basket can hold 43 apples?
Answer:
he will need 8 baskets or 7.3
The tank has 28inch diameter and 66 inch height what’s the surface area of the tank?
The surface area of the tank is 7038 square inches
The surface area can be calculated as follows
The diameter is 28 inch
radius= diameter/2
= 28/2
= 14
Height= 66 inch
The surface area can be calculated as follows
2πrh + 2πr²
= 2(3.142)(66) + 2(3.142)(14²)
= 5806+2(616)
= 5806+1232
= 7038 square inches
Hence the surface area of the tank is 7038 square inches
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Letter B is plotted at (3,-2). True Or False
Answer:
please friend write your question clearly than I will answer your questions
Need help onna problem do you mind help me please
Given the expresssion;
\((\sqrt[5]{x^7})^3\)First, we start with the expression in the bracket which is;
\(\sqrt[5]{x^7}\)We apply the fractional exponent rule of indices which is;
\(x^{\frac{m}{n}}=(x^m)^{\frac{1}{n}}=\sqrt[n]{x^m}\)Applying the law to the expression in the bracket above, we have;
\(\begin{gathered} \sqrt[5]{x^7}=(x^7)^{\frac{1}{5}} \\ \sqrt[5]{x^7}=x^{\frac{7}{5}} \end{gathered}\)Thus, the given expression is;
\((\sqrt[5]{x^7})^3=(x^{\frac{7}{5}})^3\)Then, we multiply the exponents, we have;
\((\sqrt[5]{x^7})^3=x^{\frac{21}{5}}\)6 yellow = 5 green
4 green = 3 purple
5 purple = 2 red
what is the ratio between yellow to red?
A.3 to 1
B.4 to 1
C.5 to 1
D.6 to 1
Answer:
Hi, option A). 3 to 1 is the correct option.
Step-by-step explanation:
See there are 6 yellow and 2 red.
It will be 6:2
And if we simplify it further both of the numbers are multiples of 2.
Therefore:
The answer is option A). 3:1
Answer: B. 4 to 1
Step-by-step explanation:
green = (3/4) purple
Substituting the expression for green from the first conversion, we get:
yellow = (5/6) (3/4) purple
yellow = (5/8) purple
Finally, we can use the third ratio to convert purple to red:
5 purple = 2 red
purple = (2/5) red
Therefore, the ratio between yellow to red is 4 to 1.
I need to find the answer to S
Answer:
65º
Step-by-step explanation:
(the sum of the angles of a triangle) 180- 65= 115
65= 30+ 35
180- 115=65
Answer:
I'm pretty sure the answer is 65
Step-by-step explanation:
30+35=65
180-65=115
So the 3rd angle in the triangle is 115°
Then you subtract 115 from 180 and get 65°
So S equals 65°
1. Identify the axis of symmetry for y = -3(x+3)^2-2. a. x = -2 b. x = 3 c. x = 2 d. x = -3 2. Choose the correct axis of symmetry for x = -4(y -4)^2+6 a. y = -6 b. y = -4 c. y =6 d. y = 4
Answer:
The answer is :
DDStep-by-step explanation:
Axis of symmetry is the equation where it cuts the middle of the quadratic graph.
For quadratic equation in the form of (x+a)² + b, the axis of symmetry will be (x+a) = 0 which is x = -a :
Question 1,
\((x + 3) = 0\)
\(x = - 3\)
Question 2,
\((y - 4 )= 0\)
\(y = 4\)
Answer:
\(\boxed{x=-3} \\ \boxed{y=4}\)
Step-by-step explanation:
Axis of symmetry is a line that cuts the parabola in half touching the vertex.
Quadratic forms ⇒ y = ax² + bx + c or x = ay² + by + c
Axis of symmetry ⇒ x = \(\frac{-b}{2a}\) or y = \(\frac{-b}{2a}\)
First problem:
y = -3(x+3)²-2
Write in quadratic form ⇒ y = ax² + bx + c
y = -3(x² + 6x + 9) - 2
y = -3x² -18x - 27 - 2
y = -3x² -18x - 29
a = -3, b = -18
Find axis of symmetry.
\(x= \frac{-b}{2a}\)
\(x=\frac{--18}{2(-3)}\)
\(x=\frac{18}{-6}=-3\)
Second problem:
x = -4(y -4)² +6
Write in quadratic form ⇒ x = ay² + by + c
x = -4(y² - 18y + 16) + 6
x = -4y² + 32y - 64 + 6
x = -4y² + 32y - 58
a = -4, b = 32
Find axis of symmetry.
\(y= \frac{-b}{2a}\)
\(y=\frac{-32}{2(-4)}\)
\(y=\frac{-32}{-8}=4\)
find the product of (5t-3) and (3t +7) when t = 6
Answer:
675
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(5t - 3) · (3t + 7)
t = 6
Step 2: Evaluate
Substitute in t: (5(6) - 3) · (3(6) + 7)(Parenthesis) Multiply: (30 - 3) · (18 + 7)(Parenthesis) Subtract: 27 · (18 + 7)(Parenthesis) Add: 27 · 25Multiply: 675Answer:
(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)
(5(6) -3)(3(6)+7) (multiply where possible)
(30 -3)(18+7) (use the distributive property/foil to multiply the two)
540 +210 -54 -21 (add the positive numbers and subtract the negative )
750 - 75 (subtract)
675 (the answer)
Step-by-step explanation:
I hope this helps :)
A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
1 34/100, 1.38, 14/10, 1.76, 1.9 c. Write to explain how you know the decimal fractions and decimals are placed on the number line and are ordered from least to greatest correctly.
) Find the gradient of a line joining the points 1) (1,-1) and (4,9) 2) (5,1)and(2-2) 2) Find the x and y intercepts for the equation 3y = 2x-2
The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.
1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
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An item has a listed price of 30$ if the sales tax rate is 5% how much is the sales tax in dollars?
Answer:$1.5
$30*5/100=15/10=3/2=$1.5
Step-by-step explanation:
i know this isnt an educational question but does anybody know any websites were i can watch free movies and series and saves where i was when i left ???
Answer: Fawesome, Peacock TV, Popcornflix.
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 14 loads?
With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.
What is a linear equation?A mathematical expression for an equation with just one variable is a linear equation in one variable.A and B can be any two real numbers, while x is a confusing variable with only one potential value. This equation is Ax + B = 0.An illustration of a linear equation with only one variable is 9x + 78 = 18.So, gallons of water used to wash 14 loads are:
Gallons of water=65×14/5Gallons of water= 910/5 gallonsGallons of water= 182 gallonsTherefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.
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Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep. This condition results in lack of sleep and extreme fatigue during waking hours. A current estimate is that 16.3 million out of the 312.7 million Americans suffer from sleep apnea, or approximately 5.2% . A safety commission is concerned about the percentage of commercial truck drivers who suffer from sleep apnea. They do not have any reason to believe that it would be higher or lower than the population’s percentage. To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2% , a simple random sample of 397 commercial truck drivers is examined by a medical expert, who concludes that 30 suffer from sleep apnea. Does this evidence support the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2% ? Use a 0.02 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.
There are no sufficient evidence using hypothesis to conclude percentage of commercial truck drivers those who suffer from sleep apnea is different from population's percentage of 5.2%.
To test the claim that the percentage of commercial truck drivers who suffer from sleep apnea is not 5.2%,
Use a hypothesis test.
Let p be the true proportion of commercial truck drivers who suffer from sleep apnea.
The null hypothesis is that the proportion of commercial truck drivers who suffer from sleep apnea is equal to 5.2%, or p = 0.052.
The alternative hypothesis is that the proportion is not equal to 5.2%, or p ≠ 0.052.
Use a z-test for the proportion to test this hypothesis.
The test statistic is,
z = (p₁ - p) / √(p(1-p) / n)
where p₁ is the sample proportion, n is the sample size, and p is the hypothesized population proportion.
In this case, we have,
p₁ = 30/397
= 0.0756
n = 397
p = 0.052
Plugging these values into the formula, we get,
z = (0.0756 - 0.052) / √(0.052(1-0.052) / 397)
= 2.11
The critical value for a two-tailed test at a 0.02 level of significance is ±2.33.
Since our test statistic, 2.11, is less than the critical value of 2.33, we fail to reject the null hypothesis.
Therefore, as per hypothesis we do not have sufficient evidence to conclude percentage of commercial truck drivers who suffer from sleep apnea is different from population's percentage of 5.2%.
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What is the width and height of this triangle I’ll mark the brainiest
Answer:
The base is 6.69 and the height is 6.02 (these are rounded to nearest hundredth)
Step-by-step explanation:
soh-cah-toa
cos 42 = adjacent/9
adjacent = cos 42 x 9
adjacent = 6.69
sin 42 = opposite/9
opposite = sin 42 x 9
opposite = 6.02
Three boys and three girls each buy 7 bookmarks. How many bookmarks do they buy all together?
Answer:
42 bookmarks total
Step-by-step explanation:
Answer:
it’s 42 bro
…………………
When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have?
Answer:
7
Step-by-step explanation:
Let's say our sum is s.
s = 10 right angles
a right angle is 90 degrees
s = 10 (90)
s= 900
Given the amount of sides in a polygon (n), the sum of the interior angles is equal to
(n-2) * 180
Therefore, the sum of the interior angles is equal to
(n-2) * 180 = 900
divide both sides by 180 to help isolate n
n-2 = 5
add 2 to both sides to isolate n
n = 7
Evaluate the definite integral of sin^5(x)dx from 0 to pi/2.
Step-by-step explanation:
The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.
Let u = sin(x), then du = cos(x)dx
The integral becomes:
∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)
= (u^6)/6 evaluated at sin(π/2) and 0
= (sin^6(π/2))/6 - 0
= (1^6)/6
= 1/6
So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.
Determine the most convenient method to graph the following line.
3x+2y=12
Select the correct answer below:
Vertical Line
Horizontal Line
Intercepts
Slope-intercept
Step-by-step explanation:
3x + 2y = 12
2y = 12 - 3x
y = 6 - 3/2 x
so, it is a regular line, not horizontal, not vertical.
the easiest way to graph it is to find the 2 intercepts at the x- and at the y-axis (setting x = 0 gives us the y value for the y-axis intercept, setting y = 0 gives us the x value for the x-axis intercept).
then use a ruler and draw a line through both points and well beyond these 2 points.
x = 0
3×0 + 2y = 12
2y = 12
y = 6
point (0, 6)
y = 0
3x + 2×0 = 12
3x = 12
x = 4
point (4, 0)
Which of the following answers is the simplified form?
Answer:
the answer is c, 1/81
Step-by-step explanation:
Hope this helps! :)
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $76
Selling price: $89.83
since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.
if we take 76 to be the 100%, what is 13.83 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20\)
the probability of an airline flight arriving on time at a certain airport is 84%, use a normal approximate to find the probability that more than 240 in a random sample of 400 commercial airline flights at the airport will arrive on time
The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.
Given:
Probability of an airline flight arriving on time (success): p = 0.84
Number of trials (flights): n = 400
Number of flights arriving on time (successes): x > 240
First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:
Mean (μ) = n * p
Standard Deviation (σ) = √(n * p * (1 - p))
μ = 400 * 0.84 = 336
σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33
Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.
To use the normal distribution, we need to standardize the value of 240:
z = (x - μ) / σ
z = (240 - 336) / 7.33
z ≈ -13.13
Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:
P(x > 240) ≈ P(z > -13.13)
From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).
Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
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Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30-minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class?
Answer:
15 Poses
Step-by-step explanation:
SInce he can teach 30 poses in 60 minutes and if the class time is cut by half then the poses are cut by half. Look below.
Minutes : 60/2 = 30 minutes
Poses : 30/2 = 15 poses
if monique wanted to run 7/8 mile and she went to the school track which was one quater of a mile long how lany laps would she have to run
Which of the following questions could I use to find the answer check all that apply.
A. L x 1/4=7/8. YES OR NO
B. 7/8 x 1/4 = L. YES OR NO
C. 7/8 X 4=L. YES Or NO
D. L/ 7/8 = 1/4. YES OR NO
hURRY
if Monique wanted to run 7/8 mile and she went to the school track which was one quarter of a mile long. The number of lap Monique will complete is
C. 7/8 X 4 = L. What is a lap in race?One complete lap around a track or across a pool, from one end to the other: The track has 400 meters or approximately 25 mile per lap.
A lap is end to end of a track and in the problem a lap is 1/4 mile and Monique wants to complete 7/8 miles'. the comparison is as follows
assuming the number of laps is L
1 lap = 1/4 mile
L laps = 7/8 miles
cross multiplying
1 * 7/8 = L * 1/4
multiplying by 4 for each side
1 * 7/8 * 4 = L * 1/4 * 4
1 * 7/8 * 4 = L * 1
7/8 * 4 = L
hence option C is correct
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An elevator in a tall building goes up 7 floors then down 9 floors down 4 floors up 8 floors and down 2 floors now it it in floor 14 on what floor did the elevator start
Answer: I'm pretty sure its 14.
Step-by-step explanation: 14 + 7 - 9 - 4 + 8 - 2 = 14
what is the simplified fraction for .35?
35/100 is simplified to 7/20, giving us the final answer.
1.What is the equation of a circle with center (-2, 2) and radius 3?
Answer:
(x + 2)² + (y - 2)² = 3²
Step-by-step explanation:
Equation of a circle is (x - a)² + (y - b)² = r²,
where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.
So, we have (x - -2)² + (y - 2)² = 3²
subtract a minus means we add.
(x + 2)² + (y - 2)² = 3²
which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression