Answer:
1
--------------
y-1
with the restriction y cannot equal -1
Step-by-step explanation:
y+1
--------------
y^1 -1
Noticing that the denominator is the difference of squares and factoring
y+1
--------------
(y+1)(y-1)
Canceling like terms
1
--------------
y-1
with the restriction y cannot equal -1
Find the following
(u•w)(2)=
(w•u)(2)=
Step-by-step explanation:
substitute 2 into x
1. (u ○ w)(2)
u(w(x))
= 4(-5x+1)+2
= 4(-5.2+1)+2
= 4(-9)+2
=-34
2. (w ○ u)(2)
w(u(x))
= -5(4x+2)+1
= -5(4.2+2)+1
= -5(10)+1
= -49
Please assist with the problem:
3 ^ -(sqrt 3)
Answer:
Step-by-step explanation:
y = 3 ^ - sqrt(3)
y = -sqrt(3) * log(3)
Log (3)= 0.47712
- sqrt(3) = - 1.732
y = 0.47712 * -1.732
y = - 0.82637
The y really has no meaning. I just used it so I could get from 1 line to the next.
Look carefully at how that - sqrt(3) was handled. You are not taking the square root of -3.
I need help on this problem
Step-by-step explanation:
[tex] {f}^{ - 1} (x) = x \: value[/tex]
[tex]f(x) = \sqrt[4]{x} + 6 \\ [/tex]
[tex]x - 6 = \sqrt[4]{x} [/tex]
[tex] {(x - 6)}^{4} = x[/tex]
[tex] {f}^{ - 1}(x) = {(x - 6)}^{4} [/tex]
A cube numbered from 1 through 6 is rolled 300 times. The number 6 lands face-upon the cube 32 times. What is the closest estimate for the experimental probability of 6 landing face-up on the cube?
A: 0.087
B: 0.107
C: 0.127
D: 0.188
Answer:
Step-by-step explanation:
Experimental probability is the number of a certain outcome divided by the number of trials, in this case
32/300
0.10666... rounded to nearest thousandth this is
0.107
Answer:
B
Step-by-step explanation:
Which postulate proves the two
triangles are congruent?
Answer:
AAS
Step-by-step explanation:
because here it is given that two angle are
equal
and a side is common between both traingle
so, both traingle are congruent by
AAS
hope it helps
The measure of c is
.
Answer:
10
Step-by-step explanation:
6^2=36
8^2=64
64+36=100
The square root of 100 is 10
What is 212,514 +396,705 estimated
Answer:
Estimate = 600,000
Step-by-step explanation:
An estimate can be defined as a rough calculation of a numerical value, usually the upper limitation.
Given the following numerical values;
212,514
396,705
To add the two values together, we would first of all determine the estimate.
Estimate of 212,514 = 200,000
Estimate of 396,705 = 400,000
Adding the two values;
200,000 + 400,000 = 600,000.
Actual addition of the values would have given;
212,514 + 396,705 = 609,219.
Therefore, 600,000 is an estimated value of 609,219.
For the arithmetic sequence beginning with the terms
(1, 4, 7, 10, 13, 16...),
what is the sum of the
first 19 terms?
Based on the arithmetic sequence, the sum of the first 19 terms is 532.
Sum of an arithmetic sequence1, 4, 7, 10, 13, 16...
First term, a = 1Common difference, d = 4 - 1 = 3n = 19Sn = n/2{2a + (n - 1)d}
= 19/2{2×1 + (19 - 1)3}
= 9.5{2 + (18)3}
= 9.5(2 + 54)
= 9.5(56)
Sn = 532
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What are the coordinates of point of intersection of y=x+3 and y=3x-3?
Answer:
Correct option is
D
(0, 0)
Form the graph, we can see that solution is (0,0).
or
The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.
From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).
Answer:
Step-by-step explanation:
At the point of intersection, x+3 = 3x-3
6=2x
x = 3
y = x+3 = 6
For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?
Answer:
The Z score for $37,000 is 8.49.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean family income is $34,000, with a standard deviation (for the population) of $5,000.
This means that [tex]\mu = 34000, \sigma = 5000[/tex]
Subsample of 200 city residents.
This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]
What is the Z score for $37,000 ?
This is Z when X = 37000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{37000 - 34000}{353.55}[/tex]
[tex]Z = 8.49[/tex]
The Z score for $37,000 is 8.49.
Vuzile bought 24 marbles lost 1/6 marbles. how many did he lose?
Answer:
4 marble lost
Step-by-step explanation:
1/6×24=4
so 4 marble lost
what is 2/3 + 1/4 as a fraction
Answer:
[tex] \frac{11}{12} [/tex]
Can I be brainliest pls
Jan had 30 dollars saved for a new bike. This was one third of needed to save. how much does the bicycle cost?
Answer:
90 dollars
Step-by-step explanation:
I did maths hghbhhbghfggghggfgy
SOMEONE PLEASE ME RN I BEG YOU
Given:
The piece-wise function is:
[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]
To find:
The domain of the given function.
Solution:
Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.
The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is
[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]
Therefore, the correct option is B.
a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere
Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
what are prime numbers
Answer:
greater than 1
Step-by-step explanation:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Step-by-step explanation:
prime numbers are numbers that have exactly two factors . 1 and the number itself.
Will Give Brainliest if you anwser the question before 12:45
Answer:
[tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Math
Converting to FractionsKCF - Keep Change Flip (Dividing Fractions)Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]
Step 2: Compute
(Parenthesis) [Fraction] (Parenthesis) Subtract: [tex]\displaystyle (\frac{1.9 \cdot 2\frac{1}{3}}{3.8 \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Convert to fractions: [tex]\displaystyle (\frac{\frac{19}{10} \cdot \frac{7}{3}}{\frac{38}{10} \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Multiply/Divide: [tex]\displaystyle (\frac{\frac{133}{30}}{\frac{266}{3}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Divide: [tex]\displaystyle (\frac{1}{20} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Convert to fraction: [tex]\displaystyle (\frac{1}{20} + \frac{1}{8}) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Add: [tex]\displaystyle \frac{7}{40} \div 2\frac{1}{2} + 0.43[/tex]Divide: [tex]\displaystyle \frac{7}{100} + 0.43[/tex]Convert to fraction: [tex]\displaystyle \frac{7}{100} + \frac{43}{100}[/tex]Add: [tex]\displaystyle \frac{50}{100}[/tex]Simplify: [tex]\displaystyle \frac{1}{2}[/tex]The principal of a high school e-mails a survey to all parents asking them to vote on the best time to have the PTA meeting. She only receives responses from 56% of the parents. Describe how the design of the survey leads to bias.
A. A nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
B. A nonresponse error was made in this design. This type of sampling only represents the parents at this school and not the entire population.
C. A convenience sample error was made in this design. This type of sampling only represents the parents with e-mail addresses and not the entire population.
D. An undercoverage error was made in this design. This type of sampling only represents the parents in the city and not the entire population.
E. There are no potential areas of bias.
Answer:
A
Step-by-step explanation:
The design of the survey leads to bias because a nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
Only 56% of response were received this means the entire population did not participate in the survey only a chuck of them answered the survey. This can lead to a biased result, an assumption.
Martha ran 2 miles in 15 minutes.
At this rate, how many miles
would she run in 2 hours?
I need help please help
Answer:
B) 103.25
Step-by-step explanation:
Area of rectangle:
A = bh
A = (16)(4)
A = 64
Area of a semi-circle:
r = d/2 = 5
A = (πr²)/2
A = (3.14 * 5²)/2
A = (3.14 * 25)/2
A = (78.5)/2
A = 39.25
Combined:
64 + 39.25 = 103.25
Answer: 103.25
Step-by-step explanation:
area of the rectangle is 4*16= 64
The area of the complete circle is [tex]\pi r^{2}[/tex]
r=d/2
r=10/2
r=5
[tex]25\pi[/tex] is the area of the full circle
[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle
area of the figure
[tex]64+\frac{25\pi }{2}[/tex]=103.27
Kyra is framing a square painting with side lengths of (x + 6) inches.
The total area of the painting and the frame has a side length of (2x −
5)
inches.
The material for the frame will cost $0.07
per square inch.
Complete Question:
Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.
Find the cost of the material for the frame is x = 16.
Answer:
The material cost of the frame is: $17.15
Step-by-step explanation:
Given
[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting
[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting
[tex]Cost = \$0.07[/tex] per square inch
Required
The cost of material of the frame
First, we calculate the area of the frame only
This is the difference between the areas of the frame and painting and the area of the painting
[tex]Area = (L_2)^2 - (L_1)^2[/tex]
[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]
Substitute 16 for x
[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]
[tex]Area = (27)^2 - (22)^2[/tex]
[tex]Area = 245\ in^2[/tex]
The cost of the painting is:
[tex]Total\ Cost = Unit\ Cost * Area[/tex]
[tex]Total\ Cost = \$0.07 * 245[/tex]
[tex]Total\ Cost = \$17.15[/tex]
Hence, the material cost of the frame is: $17.15
A fraction is shown. 8/16 Which expression is equivalent to this fraction?
Answer:
1/2
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Answer:
(0,-3) and (6,0)
Step-by-step explanation:
Now you use two point form to make equation
Y2-Y1/Y-Y1=X2-X1/X-X1
here Y2=0 ,Y1=-3
X2=6 and X1=0 now put in equation to get answer
PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS
2x+3=5` write this in statement form.`
Answer:
2 product of x & adding it from 3 is equals to 5 ..
Solve for x.
2/x = 6/2
Answer:
X = 2/3
Hope this helps :D
Use the Binomial Theorem to expand (x + 1)^6
Answer:
Here is what i got x^2+6x^5+15x^4+6x+1
Step-by-step explanation:
^ that mark is for exponents btw. For anyone that is new to this
The Binomial Expansion of [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].
What is Binomial Expansion?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.
Given:
We have to expand [tex](x+ 1)^6[/tex]
We know the general form of Binomial Expansion
(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]
Here n= 6
So, the expansion of [tex](x+ 1)^6[/tex] is
= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +
C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]
= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]
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what are zeros of this function?
Answer:
Step-by-step explanation:
The zeros are the values of x for which y = 0. Those are the points where the graph crosses the x-axis.
The graph passes through (0,0), so x=0 is one of the zeros.
The graph passes through the third tick to the right—note it is x=6, not x=3!
x=6 is the other zero.
Mindy is playing a game. She notices that the ratio of red tokens to purple tokens is 2 to 3. She counts 6 red tokens. Draw numbers to complete the diagram to the number of purple tokens. Numbers may be used once, more than once, or not at all.
When Reena subtracted 9 from thrice a number, the result was 15. Then the number is
-7
8
-3
-8
Answer:
8
Step-by-step explanation:
Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15
Answer:
Step-by-step explanation:
let the number be x
3x-9=15
3x=15+9 add 9 from both sides
3x=24
x=8