Answer:
only{(0,0), (3,0), (5,0)} (the x axis)
Step-by-step explanation:
as all the others have more than one possible output y for a unique input x
I WILL GIVE YOU 200 pts please
1. √−36
2. √−8 ⋅ √−32
3. √− 15 ⋅ √− 25
4. (–3i) (4i)(–5i)
5. (7i)2(6i)
6. 42
7. 55
8. 89
9. (5 – 2i) + (–13 – 8i)
10. (7 – 6i) + (9 + 11i)
11. (–12 + 48i) + (15 + 21i)
12. (10 + 15i) – (48 – 30i)
13. (28 – 4i) – (10 – 30i)
14. (6 – 4i) (6 + 4i)
15. (8 – 11i) (8 – 11i)
16. (4 + 3i) (2 – 5i)
17. (7 + 2i) (9 – 6i)
18.
19.
2
7 − 8
20.
3–
21.
2–
6 + 5
−2
2 − 4
1 + 3
Solve each equation.
22. 52 + 35 = 0
23. 2 2 + 10 = 0
24. 4 2 + 76 = 0
25. −2 2 − 6 = 0
26. −5 2 − 65 = 0
27. 4 2 + 12 = 0
3
Find the values of ℓ and m that make each equation true.
28. 15 – 28i = 3ℓ + (4m)I
29. (6 – ℓ) + (3m)i = –12 + 27i
30. (3ℓ + 4) + (3 – m)i = 16 – 3i
31. (7 + m) + (4ℓ – 10)i = 3 – 6i
32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the
circuit is 7 – 5j ohms. Add these complex numbers to find the total impedance in the circuit.
33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 – j amps and the
impedance Z is 3 + 2j ohms.
1 = 6i
Add me Ill solve all Cloewyy#8905
Please help thank you
Answer:
2 × n - 1 = x
Step-by-step explanation:
for example:
[tex]2(4) - 1 = 7[/tex]
[tex]2(5) - 1 = x \\ 10 - 1 = x \\ x = 9[/tex]
Multiply
(5x+y)(6x-7y)
Answer:
30x2−29xy−7y2
Step-by-step explanation:
=(5x+y)(6x+−7y)
=(5x)(6x)+(5x)(−7y)+(y)(6x)+(y)(−7y)
=30x2−35xy+6xy−7y2
=30x2−29xy−7y2
Find the measure of the angle marked and indicated in bold
Please help with Exponential Problem !!!
Answer:
D) f(3) = 54
Step-by-step explanation:
f(3) = 2 x 3^3
f(3) = 2 x 27
f(3) = 54
Hope this helps! Pls give brainliest!
Answer:
D
Step-by-step explanation:
first you need to do the exponent and you substitute the 3 in for ex
so 3^3=27
then you multiply it by 2 to get 54
Write an inequality to represent the graph.
у
(0, 2)
-3
- 2 - 1
7
8
9
10
0
-1
5 6
(4,-1)
-2
-3
-4
-5
-6
Answer:
The answer is i think(4,1)
Step-by-step explanation:
PLEASE HELP URGENT ASAP DUE TOMORROW PLSSSSS
∫x²cos(2x³)dx
Answer:
-222
Step-by-step explanation:
In the figure below, AABC is similar to A EFG. What is the length of EG? Enter only the number.
A
5
N
3
12
16
F
G
B
The solution is
Answer:
EG = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{EG}{AC}[/tex] = [tex]\frac{EF}{AB}[/tex] , substitute values
[tex]\frac{EG}{5}[/tex] = [tex]\frac{12}{3}[/tex] = 4 ( multiply both sides by 5 )
EG = 5 × 4 = 20
eric scored 5 more than twice the points that josh did they scored 134 points together what is erics score
Answer:
I believe it'd 69.5
Step-by-step explanation:
if u use the equation 2x+5=134, you get 64.5 for Josh and 69.5 for eric
The sum of three consecutive even numbers is 36. What is the smallest numbers ?
Answer:
The numbers are 11,12,13
The smallest number is 11
Step-by-step explanation:
Let the first number be x
The next number is x+1
The third number is x+2
x+x+1+x+2 = 36
Combine like terms
3x+3 = 36
Subtract 3 from each side
3x+3-3 = 36-3
3x=33
Divide each side by 3
3x/3 = 33/3
x=11
The numbers are 11,12,13
The smallest number is 11
Solution set for the equation x^2-6x+10=0
Answer:
3+2i, 3-2i
Step-by-step explanation:
no rational solutions
if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2
A random variables X and Y are distributed according to the joint PDF. The value of constant a = _______.f(x,y)=ax if 1<=1x<=y<=2 and 0 otherwise
======================================================
Explanation:
PDF = probability density function
The given joint PDF is
[tex]f(x,y) = \begin{cases}ax \ \ \ \text{ if } 1 \le x \le y \le 2\\0 \ \ \ \ \ \text{ otherwise}\end{cases}[/tex]
Let's focus on the [tex]1 \le x \le y \le 2[/tex]. Specifically the x term for now. Erasing out the y term, we have the inequality [tex]1 \le x \le 2[/tex] which says x is between 1 and 2, inclusive. We have almost the same story for y, but there's another condition attached to it: y must also be equal to or larger than x.
So let's say x = 1.5. This would mean [tex]1.5 \le y \le 2[/tex]. As another example, x = 1.7 leads to [tex]1.7 \le y \le 2[/tex]. In general, we would say [tex]x \le y \le 2[/tex] where x is between 1 and 2.
As x gets bigger, the range of possible y values gets smaller. If x = 2, then y has no choice but to be 2 as well.
-----------------
Based on that, we'll have a double integral that looks like this:
[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\[/tex]
The outer integral handles the x terms that range from 1 to 2, describing [tex]1 \le x \le 2[/tex]. Note the dx on the outside. The order of the dy and dx matters.
On the inside, we have the integral for dy ranging from x to 2 to describe the interval [tex]x \le y \le 2[/tex]
To have f(x,y) be a PDF, the volume under the f(x,y) surface must be 1, where the volume is based on the bounds set up. So we must have V = 1. We'll use this later.
-----------------
Let's simplify the double integral.
We'll start by computing the inner integral with respect to y.
[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\\displaystyle V = \int_{1}^{2}\int_{x}^{2}\left(ax\right)dydx\\\\\displaystyle V = \int_{1}^{2}\left(axy\Bigg|_{x}^{2}\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(ax(2) - ax(x)\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\[/tex]
Then we'll finish it off by integrating with respect to x.
[tex]\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\\displaystyle V = \left(ax^2 - \frac{1}{3}ax^3\right)\Bigg|_{1}^{2}\\\\\displaystyle V = \left(a(2)^2 - \frac{1}{3}a(2)^3\right) - \left(a(1)^2 - \frac{1}{3}a(1)^3\right)\\\\\displaystyle V = \left(4a - \frac{8}{3}a\right)-\left(a - \frac{1}{3}a\right)\\\\[/tex]
[tex]\displaystyle V = 4a - \frac{8}{3}a-a + \frac{1}{3}a\\\\\displaystyle V = 3a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9}{3}a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9-8+1}{3}a\\\\\displaystyle V = \frac{2}{3}a\\\\[/tex]
Side note: We don't have to worry about the "plus C" integration constant when working with definite integrals.
Recall that V = 1. So,
[tex]\displaystyle V = \frac{2}{3}a\\\\\displaystyle \frac{2}{3}a = 1\\\\\displaystyle a = \frac{3}{2} = 1.5\\\\[/tex]
a = 3/2 is the final answer.
Find the value of sin D rounded to the nearest hundredth, if necessary.
Answer:
0.22
Step-by-step explanation:
So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.
We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.
We have to find the value of sin(D)
opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22
A buyer of a new sedan can custom order the car by choosing from 5
different exterior colors, 3 different interior colors, 2 sound systems, 3
motor designs, and either manual or automatic transmission. How many
choices does the buyer have? /(10 pts)
Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this question:
The options are independent.There are 5 different exterior colors, hence [tex]n_1 = 5[/tex].There are 3 different interior colors, hence [tex]n_2 = 3[/tex].There are 2 sound systems, hence [tex]n_3 = 2[/tex].There are 3 motor designs, hence [tex]n_4 = 3[/tex].There are 2 transmission options, hence [tex]n_5 = 2[/tex].Then:
[tex]N = 5 \times 3 \times 2 \times 3 \times 2 = 180[/tex]
The buyer has 180 choices.
To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/25799621
(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...
Answer:
-4*20+3*190=490
2*20+190=230
-2*20-3*190=-610
A movie theater charges $7.00 for adults and $2.00 for senior citizens. On a day when people paid for admission, the total receipts were $1225. How many who paid were adults? How many were seniors?
Answer:
7.00+2.00=9.00
2.00-7.00=5.00
460,451,442,...
Find the 37th term.
Find the 37th term.
Answer:
The 37th term is 136.
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
The formula for arithmetic sequence is
[tex]an = a1 + (n - 1)d[/tex]
where,
an is the nth term,
a1 is the first term,
n is the term number and
d is the common difference
Find the 37th term.
an = a1 + ( n-1 ) d
a37 = 460 + ( 37-1 ) -9
a37 = 460 + ( -324 )
a37 = 136
Which statement is true regarding the functions on the
graph?
Answer:
f(3) = g(6)
Step-by-step explanation:
PLEASE HELPP MEE ASAPP!!
Answer:
Step-by-step explanation:
each zero of the function will have a factor of (x - x₀)
h(x) = a(x + 3)(x + 2)(x - 1)
h(x) = a(x + 3)(x² + x - 2)
h(x) = a(x³ + 4x² + x - 6)
or the third option works if a = 1
however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2
h(x) = -2x³ - 8x² - 2x + 12
to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets
What happens to the median of the data set
{10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set?
A. The median increases by 2.
B. The median decreases by 1.
C. The median does not change.
D. The median increases by 1.
Answer:
D
Step-by-step explanation:
Median- The average
The average can be found by adding the numbers together and dividing by the amount of numbers, in this case that would be 7. 10+2+8+9+5+2+6=42. 42÷7= 6. So the average before 12 is 6. 42+12 is the total adding that 12 and would equal 54. 54÷8=6.75, averaging out to 7. The average increased by about 1. So, the answer is D.
Answer: D. The median increases by 1.
Step-by-step explanation: This is correct.
During a visit to the tide pools, Brent observed 16 sea stars, 4 sea urchins, and 52 sea anemones. What is the ratio of sea anemones to sea stars?
Answer:
16 to 52
Step-by-step explanation:
Select Is a Function or Is not a Function to correctly classify each relation.
Is a Function Is not a Function
{(2,2),(4,4),(6,6),(8,8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0,3),(3,5),(5,6),(8,4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1,2),(3,3),(4,8),(6,3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3,4),(5,2),(5,6),(7,3)}
Answer:
1.is a function
2. is a function
3. is a function
4. is not a function
Step-by-step explanation:
what is 2 3/15 roumded to the nearest half
Answer:
It is 7 whole
Step-by-step explanation:
3/15 is 5 without anything left plus the 3 is 7
11. Scott made 21 treat bags for his sister's birthday party. Each treat bag has the same
number of items inside. He used another 14 items after that. Write an expression to represent
the total number of items Scott used for the treat bags.
Answer:
21 x n + 14
Step-by-step explanation:
The number of items in each bag times the number of bags plus the 14 items.
Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)
Answer:
84
Step-by-step explanation:
Total episodes to watch = (100 - 30)% = 70%
Finding 70% of 120
70/100 × 120
7 × 12
84
8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?
Answer:
$200 at 5%$800 at 6%Step-by-step explanation:
Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...
0.05(1000-x) +0.06x = 58
50 +0.01x = 58 . . . . . . . . . . . simplify
0.01x = 8 . . . . . . . . . . . . . . . subtract 50
x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%
(1000-x) = 200 . . . . . . . find the amount invested at 5%
Lara invested $200 at 5% and $800 at 6%.
3 movie tickets cost 36$. at this rate, the cost per ticket is $..
Answer: The cost per ticket is $12.
Step-by-step explanation:
help pls mwah <3 i also give brainliest
Answer:
i think it is 0.7 correct me if i am wrong i am in the 6th grade
Step-by-step explanation:
Answer:
y=3/4x
Step-by-step explanation:
From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.
Hope that helps
Write the ratio 4 1/5 to 5 2/5 as a simplified fraction
Answer:
[tex]\huge\boxed{4\dfrac{1}{2}:5\dfrac{2}{5}=5:6}[/tex]
Step-by-step explanation:
[tex]4\dfrac{1}{2}:5\dfrac{2}{5}[/tex]
we convert a mixed number to an improper fraction
[tex]4\dfrac{1}{2}=\dfrac{4\cdot2+1}{2}=\dfrac{9}{2}\\\\5\dfrac{2}{5}=\dfrac{5\cdot5+2}{5}=\dfrac{27}{5}[/tex]
Therefore
[tex]4\dfrac{1}{2}:5\dfrac{2}{5}=\dfrac{9}{2}:\dfrac{27}{5}=\dfrac{9\!\!\!\!\diagup^1}{2}\cdot\dfrac{5}{27\!\!\!\!\!\diagup_3}=\dfrac{1}{2}\cdot\dfrac{5}{3}=\dfrac{1\cdot5}{2\cdot3}=\dfrac{5}{6}=5:6[/tex]
The ratio 4 1/5 to 5 2/5 is equivalent to the simplified fraction 7/9.
How to write the simplified factionTo write the ratio 4 1/5 to 5 2/5 as a simplified fraction, we need to convert both mixed numbers to improper fractions and then find their ratio.
Step 1: Convert the mixed numbers to improper fractions:
4 1/5 = (4 * 5 + 1) / 5 = 21 / 5
5 2/5 = (5 * 5 + 2) / 5 = 27 / 5
Step 2: Find the ratio by dividing the first fraction by the second fraction:
Ratio = (21 / 5) / (27 / 5)
Step 3: To divide by a fraction, multiply by its reciprocal:
Ratio = (21 / 5) * (5 / 27)
Step 4: Simplify the fraction:
Ratio = (21 * 5) / (5 * 27)
Ratio = 105 / 135
Step 5: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 15:
Ratio = (105 / 15) / (135 / 15)
Ratio = 7 / 9
Learn more about simplified fraction
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A principle at a certain high school claims that the students in her school are above average in SAT. She collects a random sample of 50 students and given an SAT test that provided with a mean score of 541. Is there sufficient evidence statistically to support the principal’s claim? The mean population SAT score is 500 with a standard deviation of 100. SAT scores are normally distributed. Please show all the steps involved in a hypothesis testing including proper statistical symbols, formula used, and report/interpret results in complete sentences.
Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:
[tex]H_0: \mu \leq 500[/tex]
At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:
[tex]H_1: \mu > 500[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]
[tex]z = 2.9[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].
Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
A similar problem is given at https://brainly.com/question/25728144
