Answer:
the function g because the graphs the graphs of f and g are symmetrical about the line y=x
Step-by-step explanation:
Inverse functions are symmetrical to each other about the line y=x. This means that if you flip a function over y=x, that will be its inverse function. It makes sense because inverse functions turn the input of the original function (x) into the output of the inverse function (y), so y=x and x=y. Take the point (-6,0) on f, it becomes (0,-6) on g.
Compute using long division: 9,876 divided by 123
Answer:
C 80 R36
Step-by-step explanation:
See attached image for explanation.
Factor 9x2+24x+16
Enter your answer in the boxes.
9x2+24x+16= ( answer here )2
Answer:
(3x + 4)^2
Step-by-step explanation:
9x^2 + 24x + 16
Let's use middle term break method to factor this polynomial.
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.
9x^2 + (12+12)x +16
9x^2 +12x +12x +16
take common
3x(3x + 4) +4(3x +4)
take (3x + 4) as common
(3x +4)(3x*1 +4*1)
(3x +4)(3x +4)
(3x +4)^2
Answer:
2 (17+12x)
Step-by-step explanation:
See image below:)
Which is a possible turning point for the continuous
function f(x)?
Step-by-step explanation:
Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.
Choose 3 values that would make this inequality true. n - 3 ≤ 10
14
15
5
10
22
13
30
Answer:
5 13 and 10
blue cheese
How many sides does a regular polygon have if each exterior angle measures
20?
Answer:
18 sides
Step-by-step explanation:
Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides
If P = (-4,-3) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = [
]
Answer:
[tex](x+1)^2 + (y + 1)^2 = 13[/tex]
Step-by-step explanation:
To find the centre of the circle, find the mid - point of PQ :
[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]
Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:
[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]
[tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]
PQ is the diameter , therefore radius :
[tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]
Equation of a circle :
[tex](x + 1)^2 + (y + 1)^2 = 13[/tex]
Answer:
(x - 1)2 + (y - 1)2 = 13
Step-by-step explanation:
This is the answer for Acellus users
To wrap a gift, you can choose from 6 kinds of wrapping paper, 3 gift bags, 4 colors of ribbon, 2 bows, and 5 stickers. You choose either a style of wrapping paper or a gift bag. Then you choose one of each of the remaining items. Find the total number of ways you can wrap the gift.
Answer:
the answer would be 480 different ways because you would multiply all the numbers.
Given a mean of 75 and a standard deviation of 7, how many students out of 500
would score higher than 89?
Answer:
230
Step-by-step explanation:
isiwjsjxjxjsiqisjnx
Margo borrows $1600, agreeing to pay it back with 3% annual interest after 11 months. How much interest will she pay?
Round your answer to the nearest cent, if necessary.
Answer:
Margo will pay $ 44 in interest.
Step-by-step explanation:
Given that Margo borrows $ 1600, agreeing to pay it back with 3% annual interest after 11 months, to determine how much interest will she pay, the following calculation must be performed:
3/12 x 11 = 0.25 x 11 = 2.75
1600 x 1.0275 = X
1644 = X
1644 - 1600 = 44
Therefore, Margo will pay $ 44 in interest.
A cable network offers members a Basic plan for $7.26 per month. For $3.00 more per month, the cable network offers a Standard plan, which includes HD movies. During one week, 310 new subscribers paid a total of $2580.60 for their plans. How many Basic plans and how many Standard plans were purchased?
___Basic plans and ___ Standard plans were purchased
Answer:
110 basic plans and 200 standard plans were purchased.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of basic plans.
y is the number of standard plans.
310 new subscribers
This means that [tex]x + y = 310[/tex], and so, [tex]y = 310 - x[/tex]
A cable network offers members a Basic plan for $7.26 per month. For $3.00 more per month. Total paid of $2580.60.
This means that:
[tex]7.26x + 10.26y = 2580.6[/tex]
Since [tex]y = 310 - x[/tex]
[tex]7.26x + 10.26(310 - x) = 2580.6[/tex]
[tex]7.26x + 3180.6 - 10.26x = 2850.6[/tex]
[tex]3x = 330[/tex]
[tex]x = \frac{330}{3}[/tex]
[tex]x = 110[/tex]
Then
[tex]y = 310 - x = 310 - 110 = 200[/tex]
110 basic plans and 200 standard plans were purchased.
PLEASE HELP LAST THING I NEED ON MATH
WILL GIVE BRAINLIEST, THANKS AND 5* VOTE
TROLL = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED
Answers:
side a = 12.3 unitsangle B = 100 degreesside b = 15.8 units===========================================================
Explanation:
Let A = 50 degrees and C = 30 degrees. The side opposite angle uppercase C is lowercase c = 8. Convention usually has uppercase letters as the angles, while the lowercase letters are side lengths. A goes opposite 'a', B goes opposite b, and C goes opposite c.
Let's use the given angles to find the missing angle B
A+B+C = 180
50+B+30 = 180
B+80 = 180
B = 180-80
B = 100
Now we can apply the law of sines to find side b
b/sin(B) = c/sin(C)
b/sin(100) = 8/sin(30)
b = sin(100)*8/sin(30)
b = 15.7569240481953
b = 15.8
Make sure your calculator is in degree mode.
----------------------------
We'll do the same thing to find side 'a'
a/sin(A) = c/sin(C)
a/sin(50) = 8/sin(30)
a = sin(50)*8/sin(30)
a = 12.2567110899037
a = 12.3
Both values for 'a' and b are approximate (even before rounding).
-----------------------------
Extra info (optional)
As you can probably tell or guess, the phrasing "solve the triangle" means "find all sides and angles".Notice how if we erase the question marked sides and angles of the original drawing, we're left with something in the AAS case. Meaning that exactly one triangle is possible here. We don't have to worry about any ambiguous case.If you wanted, you could apply the law of cosines rule after you determine two sides and an included angle between them. This will yield the length of the side opposite the angle.Answer:
B=100
b=15.7
a=12.25
Step-by-step explanation:
first find the missing angle:
B=180-50-30
B=100
then use the law of sines:
[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) ) } = \frac{c}{ \sin(c) } [/tex]
then
[tex] \frac{a}{ \sin(50) } = \frac{8}{ \sin(30) } \\ \\ a = 12.25[/tex]
use the same way to find the other side
[tex] \frac{b}{ \sin(100) } = \frac{8}{ \sin(30) } \\ b = 15.7[/tex]
A basketball player made 80 out of 100 attempted free throws. What percent of free throws was made?
I need a correct answer asap!
Percent of free throws = (number of free throws made / total attempts) x 100
Percent = (80/100) x 100 = 80%
The answer is 80%
Answer:
80%
Step-by-step explanation:
I am a fraction and I am equivalent to 4/9. If my numerator is 28. Who am I?
Answer:
I am 28/63
Step-by-step explanation:
4 * 7 = 28
9 * 7 = 63
Therefore, 4/9 is equivalent to 28/63.
which point lies on the line described by the equation below?
( I am pulling an all nighter for high school and this question is really important)
Answer:
F (5,-8)
Step-by-step explanation:
By rearranging,
y= 4x-28
Substitute each of the x values of the answers, eventually you will get to F and discover that when x = 5, y= -8
y= 4(5) - 28
y= -8
So, when x= 5, y= -8,
Point F is (5,-8)
SAT Scores The national average SAT score (for verbal and math) is 1028. Assume a normal distribution with o=92.
0
Round intermediate : -value calculations to two decimal places.
What is the 95th percentile score? Round the answer to the nearest whole number,
The 95th percentile score is ?
Answer:
Similar to your other question. Now, you're looking for the score such that this time, 0.99 corresponds to a z-score of approximately, which means
Fill in the missing number to make these fractions equivalent 15/25 = ?/5
Answer:
3
Step-by-step explanation:
25 divided by 5 is 5
therefor 15 divided by 5 is 3
15/25 = 3/5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{25} =\frac{?\\}{5}[/tex] 25 divided by ? = 5? The number 5 so divide 15 as well
15 ÷ 5 = 3
[tex]\frac{15}{25} =\frac{3}{5}[/tex]
Hence, 3 is the answer
Please mark me as brainliest if you can or give me a thanks
h is f × 2 r
pla help
Answer:
step one 1 ×3 = 4
Step-by-step explanation:
how first fo ther
Shana has three pets, a dog, a cat and a bird. One of them is named Sammy. Noodles is younger than both the bird and the dog. Fluffy is green. Which pet has the name Sammy?
Answer:
The dog has the name Sammy.
Step-by-step explanation:
A cat and dog cannot be green, therefore the bird is Fluffly.
Noodles must be the cat since it's younger than the bird and the dog.
The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.
There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?
Answer:
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Step-by-step explanation:
Give
[tex]Good = 4[/tex]
[tex]Bad = 3[/tex]
Required
[tex]P(Good\ and\ Bad)[/tex]
This is calculated as:
[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]
So, we have:
[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]
[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]
[tex]P(Good\ and\ Bad) = 12/49[/tex]
Mention any two similarities between rectangle and square.
Plz send the Venn diagram of this...
Answer:
Step-by-step explanation:
sorry im not sure
The area of a square rug is 64 ft.² what is the perimeter of the rug?
Answer:
[tex]32[/tex][tex] {ft}^{2} [/tex]
Step-by-step explanation:
The area of a square rug = 64 ft²
First we will find the side of square rug = [tex] {64}^{2} = {s}^{2} [/tex]
[tex] {s}^{2} = 8 [/tex]
Perimeter of the rug = [tex]4 \times 8 [/tex][tex] = 32[/tex]ft²
Hope it is helpful...In the equation 2x+4=y, what is the value of y when x=5?
9514 1404 393
Answer:
y = 14
Step-by-step explanation:
Put the value of x where x is and do the arithmetic.
2x + 4 = y
2·5 + 4 = y . . . . . . substitute for x
10 + 4 = y . . . . . . . multiply
14 = y . . . . . . . . . . add
The value of y is 14 when x = 5.
Three different design configurations are being considered for a particular component. There are two possible failure modes for the component. An engineer obtained the following data on the number of failures in each mode for each of the three configurations. Is there evidence to conclude that the configuration has an effect on the type of failure?
Failure Mode
1 2 3 4
Configuration 1 20 44 17 9
2 4 17 7 12
3 10 31 14 5
Answer:
No evidence .because the configurations factors and failure mode are independent
Step-by-step explanation:
Determine if there is sufficient evidence to conclude that configuration affects the type of failure
Number of configurations = 3
Number of failures = 4
assuming Pij represents proportion of items in pop i of the category j
H0 : Pij = Pi * Pj, I = 1,2,-- I, j = 1,2,---J
Hence the expected frequencies will be
16.10 , 43.58 , 18, 12.31
7.5, 19.37, 8 , 5.47
10.73, 29.05, 12, 8.21
x^2 = 13.25
test statistic = 14.44. Hence the significance level where Null hypothesis will be acceptable will be = 2.5%
Determine whether the series is convergent or divergent by expressing sn as a telescoping sum.
[infinity]
Σ 8/n^2-1
n=3
Answer:
The sum converges at: [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{n^2 - 1}[/tex]
Express the denominator as difference of two squares
[tex]\sum\limits^{\infty}_{n =2} \frac{8}{(n - 1)(n+1)}[/tex]
Express 8 as 4 * 2
[tex]\sum\limits^{\infty}_{n =2} \frac{4 * 2}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{2}{(n - 1)(n+1)}[/tex]
Express 2 as 1 + 1 + 0
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+0}{(n - 1)(n+1)}[/tex]
Express 0 as n - n
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+n - n}{(n - 1)(n+1)}[/tex]
Rewrite as:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)-(n - 1)}{(n - 1)(n+1)}[/tex]
Split
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)}{(n - 1)(n+1)}-\frac{(n - 1)}{(n - 1)(n+1)}[/tex]
Cancel out like terms
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{6})][/tex]
[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{6})][/tex]
Add [tex]a_7[/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{7 - 1} - \frac{1}{7+1})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{6} - \frac{1}{8})][/tex]
[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{8})][/tex]
Notice that the pattern follows:
[tex]a_3 + a_5 + a_7 + ...... + a_{k}= 4[(\frac{1}{2} - \frac{1}{k+1})][/tex]
The above represent the odd sums (say S1)
For the even sums, we have:
[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]
In the above statement, we have:
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{7})][/tex]
[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{7})][/tex]
Add [tex]a_8[/tex] to both sides
[tex]a_4 + a_6 +a_8 = 4[(\frac{1}{3} - \frac{1}{7}) + \frac{1}{7} - \frac{1}{9}][/tex]
[tex]a_4 + a_6 +a_8 = 4[\frac{1}{3} - \frac{1}{9}][/tex]
Notice that the pattern follows:
[tex]a_4 + a_6 + a_8 + ...... + a_{k}= 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
The above represent the even sums (say S2)
The total sum (S) is:
[tex]S = S_1 + S_2[/tex]
[tex]S =4[(\frac{1}{2} - \frac{1}{k+1})] + 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]
Remove all k terms
[tex]S =4[(\frac{1}{2}] + 4[(\frac{1}{3}][/tex]
Open bracket
[tex]S =\frac{4}{2} + \frac{4}{3}[/tex]
[tex]S =\frac{12 + 8}{6}[/tex]
[tex]S =\frac{20}{6}[/tex]
[tex]S =\frac{10}{3}[/tex]
The sum converges at: [tex]\frac{10}{3}[/tex]
(04.02 MC)
Segment AB falls on line 2x - 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
Answer:
A
Step-by-step explanation:
Roman numeral for 67
Answer:
LXVII
Step-by-step explanation:
The roman numeral for 67 is LXVII
LX represents 60 and VII represents 7
If a equals B andB equals C which statement must be true?
Answer:
A=B=C... wouldn't both B and C be equal to A? Also I can't see the statements.
Find the upper 20%of the weight?
Answer:
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]
[tex]X = 0.84\sigma + \mu[/tex]
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
How do you find the square root of 11? I need to show work
Answer:3.31662479036.
Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.