Interchange (switch) the value of x and y in "y = x + 5" as x = y + 5, subtract 5 from both sides and re-write in the form "y = f(x)" as y = x - 5.
What is an inverse function?In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).
The steps required to write the inverse of f(x) = x + 5 include the following:
Interchange (switch) the value of x and y in "y = x + 5" as x = y + 5.Subtract 5 from both sides, we have x - 5 = y.Re-write in the form "y = f(x)" as y = x - 5.Read more on inverse function here: https://brainly.com/question/10219387
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please help me I'm so confused
what is 0.21825 rounded
Answer:
It depends
Step-by-step explanation:
Does the question specify how many decimal places you are rounding to?
If it's to 1: 0.2, as the next digit is 1 so you round down if it's less than 5
If it's to 2: 0.22 - as the next digit is 8 and you round up if it's greater than or equal to 5.
If it's to 3: 0.218 - as the next digit is 2 so you round down for the reasons above.
If it's to 4: 0.2183 - as the next digit is 5 so you round up for the reasons above.
Hope this helps! Let me know if you have any questions :)
(3x² + 15x+14) + (x+4)
Your answer should give the quotient and the remainder.
Answer:
ofco 1+1=2
Step-by-step explanation:
abc that's why
Find the value of 0.7x0.08
Answer:
0.056
Step-by-step explanation:
For decimals, you just multiply, and the hundredths would stay, so the answer is 0.056, because 8 x 7 = 56!
Answer:
0.056
Step-by-step explanation:
7*8 is 56 right
looking at 0.7 how many numbers are before that dot
1 right which is seven
then 0.08 has how many digits before the dot thing
2 right which is 0 and 8
in total making three
then in 56 move three times forward from behind
1 5.6
2 0.56
3 0.056
and thats how we got this
dont confuse this technique with numbers like 0.80
the zero at the end of that number is not needed
that is to say that
0.80 = 0.8
when theres a zero at the back of a decimal its not counted
e.g
0.50= 0.5
0.4000000= 0.4
hope this helped
how many ways can you make a 5 digit password that can be any number (including zero) or letter (not case sensitive)? 916132832
These work out to 60,466,176 case insensitive combinations of letters.
There are 10 digits 0–9.
The are 26 letters in the modern alphabets.
However, you didn’t specify whether capital and lowercase letters count as the same letter or separate. In the former case, there are 26 letters, in the latter, there are 52.
There is also such a thing as lowercase numbers, but since they aren’t in common standard usage, I won’t count those.
You also didn’t specify that characters couldn’t be repeated, so I am going to assume that the same character can appear multiple times in a 5 character combination.
Also, since the combinations are an alphanumeric string of characters rather than a number, I will assume that leading zeroes are allowed.
So, there are either 36 (10 digits and 26 letters).
To find the number of combinations you multiply the number of possibilities for each character;
36 x 36 x 36 x 36 x 36
These work out to 60,466,176 case insensitive combinations of letters.
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In a paralleogram, a base, b, and its corresponding, height, h, are in the ratio of 5:3. The area is is 135 mm^2. Find b and h.
The base of the parallelogram is 15 mm and the height is 9 mm.
In the given parallelogram, the ratio of the base (b) to the height (h) is 5:3, which means b = 5x and h = 3x, where x is a constant factor.
The area of a parallelogram is given by the formula: Area = base * height. In this case, the area is 135 mm².
We can use the given information to create an equation: Area = (5x) * (3x), where Area = 135 mm².
135 = 5x * 3x
135 = 15x²
Now, let's solve for x:
x² = 135/15
x² = 9
x = 3
Now that we have the value of x, we can find the base (b) and height (h) of the parallelogram:
b = 5x = 5 * 3 = 15 mm
h = 3x = 3 * 3 = 9 mm
∴ base (b) = 15 mm and height (h) = 9 mm
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Ricardo is installing a new kitchen floor. The Kitchen is square in shape and has an area of 484 square feet. What is the length of one side of Ricardos kitchen?
Answer:
[See Below]
Step-by-step explanation:
✦ Formula = √area
✧ √484 = 22
✦ Check: 22 x 22 = 484
So the side length is 22.
~Hope this helps Mate. If you need anything feel free to message me.
John,Kris,and Monica are playing catch with a frisbee. They are standing in a triangle, as shown below .
Monica can only throw the frisbee 75 feet. If she throws the frisbee as hard as she can to John, will it reach him?
Answer:
Ur seriously taking Charles Geometry exam, and post the question here
Step-by-step explanation: Since ur so desperate by asking here evelyn, the answer is D since monica can only throw 75 feet and John is 70 feet away from her.
the results from a two-factor analysis of variance show a significant main effect for factor a and a significant main effect for factor b. based on this information, what can a researcher conclude about the interaction?
Based on the significant main effects for both factor A and factor B, the researcher can conclude that there is evidence of an interaction between these factors. Further analysis would be needed to investigate the nature and significance of this interaction.
In a two-factor analysis of variance (ANOVA), the interaction between factors A and B refers to whether the effect of one factor on the dependent variable depends on the level of the other factor. If there is a significant main effect for factor A and a significant main effect for factor B, it indicates that both factors individually have an impact on the dependent variable.
However, to determine if there is an interaction, we need to analyze the interaction effect, which assesses whether the effect of one factor depends on the levels of the other factor. If there is a significant interaction effect, it implies that the effect of one factor is not consistent across the levels of the other factor.
Without specific information about the magnitudes and directions of the effects, it is not possible to provide further details about the nature of the interaction. The researcher would need to perform post-hoc tests or examine the means and patterns in the data to understand the specific nature of the interaction.
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two and one fifths times two and two thirds
Answer:
5 13/15
2 1/5 (2 2/3) =
5 13/15
Step-by-step explanation:
So basically you have to make the fractions improper first. So 2 1/5 is now 11/5, and 2 2/3 is now 8/3. Now multiply:
11 8 88
— x — = —
5 3 15
88/15 = 5 13/15
Answer: 4 and 2/15
Step-by-step explanation: multiply
the numerator the and the whole and denominator, and you get 4 and 2/15
5. Isaiah inherited $7,000 and plans to deposit it into a savings account that earns 6% interest.
Isaiah wants to compare the interest earnings after 60 months based on whether the account
earns simple or compound interest. After using each formula below, Isaiah subtracts the
solutions and determines that after 60 months, the account with compound interest would earn
$7,267.58 more in interest. Do you agree with Isaiah's thinking? Explain why or why not.
Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.
Does compound interest earn more than simple interest?Let P be the principal amount of $7,000
Let r be the annual interest rate of 6%
Let n be the number of compounding periods per year.
Using formula for simple interest: I = Prt, the interest earned after 60 months is:
I = 7,000 × 0.06 × 5
I = $2,100.
Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:
\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)
The interest earned is:
I = A - P
I = $9441.95 - $7,000
I = $2,441.95.
The difference in interest earned between compound and simple interest is:
= $2,441.95 - $2,100
= $341.95.
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BEG is a triangle ABC And DEF are parellell lines
Answer:
What is the question?
Step-by-step explanation:
rhoda pays for internet access each month The graph shows the relaionship
Answer:
more info??
Step By Step:
if the level of significance of a hypothesis test is raised from .01 to .05, the probability of a type ii error will group of answer choices also increase from .01 to .05. not change. decrease. increase.
if the level of significance of a hypothesis test is raised from .01 to .05, then the probability of a Type II error will decrease when the level of significance of a hypothesis test is raised from .01 to .05. (option a)
This change in the level of significance does not directly affect the probability of a Type II error. A Type II error occurs when we fail to reject the null hypothesis, even though it is false. This means that we have concluded that there is no relationship between the variables, even though there actually is one.
The probability of a Type II error depends on several factors, such as the sample size, the effect size, and the level of significance. In general, as the level of significance increases, the probability of a Type II error decreases.
This is because when we are more lenient in rejecting the null hypothesis, we are more likely to detect any real relationship that exists between the variables.
Therefore, the correct answer to your question is (a)
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it is any equation in the form f of x = ax to the second power + bx + c where a b and c are real numbers and a not equal to zero . is t a linear equation, quadratic,rational
Answer:
The answer to this depends on the accuracy of the way this is transcribed. If the value on the left side of the equals sign is indeed x, then it would be a rational equation. If it is meant to be another scalar value though, then this would be a quadratic equation.
Step-by-step explanation:
This depends on the what is on the other side of the equals sign. If it is a scalar value, then you are guaranteed a proper quadratic equation. In the example given though:
\(x = ax^2 + bx + c\)
This is not actually true. In this example, we can divide both sides by x, giving us a very different equation:
\(x = ax^2 + bx + c\\1 = ax + b + c/x\\ax + c/x = 1b\)
and this equation actually a rational one.
PLEASE HELP, #16 and 17!!!!
Answer:
b
Step-by-step explanation:
thats my answer and I hope I help
which of the following situations would best be modeled by a discrete relationship? (4.1) group of answer choices the weight of a dog over time. the number of students in each classroom. the temperature inside a car over time. the cost of bananas is $0.55 per pound.
The number of students in each classroom will be best modeled by a discrete relationship.
What is discrete relationship?
Discrete relationships are those relationships that contain finite or countable elements which means that the elements of such a relationship are distinct.
We are given four choices, from which we need to find the one which can be best modeled by this.
The weight of dog over time, the temperature inside a car and the cost of bananas cannot be modeled by discrete relationship because these are continuous variables.
Hence, the number of students in each classroom will be best modeled by a discrete relationship.
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Determine the intercepts of the line.
y + 5 = 2(x+1)
y-intercept:
X-intercept:
Answer:
Y intercept: -3
X intercept: 1.5
Step-by-step explanation:
Find the y intercept by setting x equal to 0 and solving for y:
y + 5 = 2(x + 1)
y + 5 = 2(0 + 1)
y + 5 = 2(1)
y + 5 = 2
y = -3
Find the x intercept by setting y equal to 0 and solving for x:
y + 5 = 2(x + 1)
0 + 5 = 2(x + 1)
5 = 2(x + 1)
5 = 2x + 2
3 = 2x
1.5 = x
So, the y intercept is -3 and the x intercept is 1.5
Find the constants m and b in the linear function f(x)=mx+b so that f(7)=9 and the straight line represented by f has slope −3.
m=
b=
To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.
The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.
The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.
Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.
Solving for b, we find b = 30.
Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.
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Probability
Please answer with complete solution
( previous question)
Ten balls are in a container. Two are white, and the rest are black. Two balls are randomly drawn without replacement from the container. What is the probability that...
".1778"
the first is white, the second black
"0.3556"
one is white, and the other black
".6222"
both are black
(Main Question) Refer to the container in the previous question, and call it container A. Another container called container B has 3 white balls and 5 black balls.
[ Select ] [".6111", ".1375", ".3000", "None of the options indicated here is correct", ".6000"]
Randomly draw one ball from each container. What is the probability that the ball from container A is black, while than from B is white?
[ Select ] [".1250", ".0875", ".3889", ".0925", "None of the options indicated here is correct"]
Randomly draw one ball from each container. What is the probability that the ball from container A is white, while than from B is black?
[ Select ] [".0375", ".4250", ".2250", "None of the options indicated here is correct", ".2377"]
Randomly draw one ball from each container. What is the probability that the two balls are of different colors?
[ Select ] ["None of the options indicated here is correct", ".2550", ".2250", ".5750", ".7750"]
Randomly draw one ball from each container. What is the probability that the two balls are of the same color?
[ Select ] ["None of the options indicated here is correct", ".6444", ".5000", ".4444", ".6250"]
Randomly draw one ball from container A, transfer it unseen to container B, then randomly draw one ball from container B. What is the probability that this ball is black?
[ Select ] ["None of the options indicated here is correct", ".2375", ".2000", ".2159", ".1818"]
Randomly draw one ball from container B, transfer it unseen to container A, then randomly draw one ball from container A. What is the probability that this ball is white?
The required answer is None of the options indicated here is correct. The solution to the given problem is as follows: Refer to the container in the previous question, and call it container A. Another container called container B has 3 white balls and 5 black balls. Randomly draw one ball from each container.
We know that Container A has 8 balls of which 6 are black and 2 are white. Container B has 8 balls of which 5 are black and 3 are white.
Probability that the ball from container A is black = Probability of selecting a black ball from container A = 6/8 = 0.75
Probability that the ball from container B is white = Probability of selecting a white ball from container B = 3/8 = 0.375
Hence, the required probability is the product of the above probabilities which is: Probability that the ball from container A is black, while than from B is white= 0.75 x 0.375 = 0.28125≈0.28.
Therefore, the required answer is None of the options indicated here is correct.
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GH has endpoints at G(0, 7) and H(8, 3). Find the midpoint M of GH.
if we are given a function to find the height of an object above the ground, h(t), at time t, how do we find when the object hits the ground?
The object hits the ground after 17.5 seconds.
f(x) = ax2 + bx + c, where a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they always have the same fundamental "U" form.
The height of an object modeled by the function:
h(t) = −16t^2 + 4900
The object hits the ground when h(t) = 0
The equation becomes:
0 = −16t^2 + 4900
-16t² = -4900
t² = 4900/16
t² = 306.25
t = √306.25
t = 17.5 secs
Thus, the object hits the ground after 17.5 seconds.
Complete question: An object is 4900 ft above the ground. The object falls, and its height is given by the quadratic function: h(t) = −16t 2 + 4900. The height of the object above the ground is in feet and the time, t, is in seconds. Determine when the object hits the ground.
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. The middle school girls' softball team only won 14 games last year. This year,
they won 26 games. What is the percent increase of games won this year over
last year?
Answer:
85.71 %
Step-by-step explanation:
26-14=12
12/14= 0.8571
0.8571x100= 85.71
Answer:
A change from 14 to 26 represents a positive change (increase) of 85.7142857143%
Step-by-step explanation:
Use the formula:
New - Old / Old x 100%
In other words, new(26) minus old(14) divided by old(14) time 100%
14 is the old value and 26 is the new value. In this case we have a positive change (increase) of 85.7142857143 percent because the new value is greater than the old value.
does the graph represent a function if its a triangle
obviously yes..........
A MARAThon runner runs 1620 yards in 9 minutes, how many seconds will it take him to run 351 ft
Simplify a/2b times bc/a
Answer:
\(\dfrac{c}{2}\)
Step-by-step explanation:
We can simplify the given expression by canceling like terms.
Remember that anything divided by itself is 1.
ex:
\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)
Applying this logic to the given expression:
\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)
↓ simplify multiplication of fractions
\(\dfrac{a \cdot bc}{2b \cdot a}\)
↓ rewrite to align like variables
\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)
↓ separate out variables that are divided by each other
\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)
↓ represent them as 1
\(1 \cdot 1 \cdot \dfrac{c}{2}\)
↓ rewrite without unnecessary 1's
\(\dfrac{c}{2}\)
how many different passwords can be made from all the letters in the word CALCULUS ?
Answer:\(\frac{8!}{2!*2!*2!}\) = 5040.
Step-by-step explanation:
Since CALCULUS has 8 letters with 2 indistinguishable C's,
2 indisnguishable L's and 2 indistinguishable U's, the answer is
\(\frac{8!}{2!*2!*2!}\) = 5040.
what is the opposite of −(−6.3)
Answer:
the reicprocal is -1/6.3
Step-by-step explanation:
36.05 rounded off to the nearest tens place
Answer:
36.1
Step-by-step explanation:
if the 100s place is 5 or above add 1 to the tens place. if it's 5 or below the tens will stay the same.
PLEASE HELP! Given the inequality y<3x+3, which statement is correct about the graphical solution?
A. Shading should go below a solid line.
B. Shading should go above a dashed line.
C. Shading should go below a dashed line.
D. Shading should go above a solid line.
Answer:
C. Shading should go below a dashed line
Step-by-step explanation:
y <
Y is less than. So, shade below where all the numbers are less than
And because it's NOT \(\leq\) or \(\geq\) , its dotted. Meaning the solutions are not on the line.