Step-by-step explanation:
X+8=32
or,X =32÷8
or,X = 4,,
the graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.
6. look at the graph of the equation x^2+y^2=8. give its domaim and range
7. use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
8. is there any value(s) of the domain of x^2+y^2=8 that passes the verticle line test? if so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
Using the concepts of domain and range, we have that:
6. Both the domain and the range of the relation are [-2.826, 2.826].
7. The relation is not a function, as each value of x is associated with two values of y, that is: [tex]y = \pm \sqrt{8 - x^2}[/tex].
8. From item 7, we get that there are no points that pass the vertical line test.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, from the graph of the circle, for item 6, both the domain and the range of the relation are [-2.826, 2.826].
A relation is a function only if each value of x is related to only one value of y. Solving the equation of the circle for y, we have that:
x² + y² = 8.
y² = 8 - x²
y = ±sqrt(8 - x²).
Hence each value of x is related to two values of y, meaning that it is not a function, and for item 8, there are no points that pass the vertical line test.
More can be learned about domain and range of functions at https://brainly.com/question/10891721
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There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 12 meters?
Answer:
12 meters = 472.441 inches
~Hope this helps~
Salim had a flock of 300 chickens 15% of which are infected with a virus he plans on taking a SRS of 7 chickens to test for the virus.
Answer:0.011
Step-by-step explanation:
The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of the infected chicken is 15%.
Which can be written as,
P(infected) = 15%
= 15/100
= 0.15
Then, the probability of not getting infected chicken is,
P(not infected) = 1 - 0.15
= 0.85
The total number of chicken for test = 7.
Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.
The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.
For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.
Thus, the probability is given as,
P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³
Hence, the probability that exactly 4 of the 7 chickens sampled have the virus is ⁷C₄(0.15)⁴(0.85)³.
To know more about binomial distribution click on,
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The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".
state whether the two triangles are similar, and if so, by which theorem? justify your answer
Answer:
it's a congruent triangle and the scale factor is 2
Step-by-step explanation:
i don't know what you mean by theorems if you mean circle theorems well that obviously is not a circle so it's not one.
Aaron went to watch The Avengers at the movie theater. He noticed that 60% of the movie extras during one of the scenes were teachers from his school. He recognized 24 teachers from his school. How many movie extras were there all together?
Answer:
40 extras
Step-by-step explanation:
24 is 60% I would divide 24 by 6 to get 10% 24/6 is 4. 4*10 is 40. There were 40 extra's all together.
Guys Please help
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has
If r is 23 cup, how many batches of cookies can Tyra bake
Answer:
53 cookies
Step-by-step explanation:
you divide 1223 and 23, the answer should then be about 53
The Acculturation Rating Scale for Mexican Americans (ARSMA) is a psychological test that measures the degree to which Mexican Americans are adapted to Mexican/Spanish versus Anglo/English culture. The range of possible scores is 1.0 to 5.0, with higher scores showing more Anglo/English acculturation. The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8. A researcher believes that Mexicans will have an average score near 1.7 and that first-generation Mexican Americans will average about 2.1 on the ARSMA scale.
What proportion of the population used to develop the test has scores below 1.7? Between 1.7 and 2.1?
Answer:
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8.
This means that [tex]\mu = 3, \sigma = 0.8[/tex]
What proportion of the population used to develop the test has scores below 1.7?
This is the pvalue of Z when X = 1.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
Between 1.7 and 2.1?
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.7.
X = 2.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.1 - 3}{0.8}[/tex]
[tex]Z = -1.13[/tex]
[tex]Z = -1.13[/tex] has a pvalue of 0.1292
X = 1.7
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.7 - 3}{0.8}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a pvalue of 0.063
0.1292 - 0.063 = 0.0662
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
PLEASE HELP!!!!
IM SO LOST
Answer:
To calculate [tex]r[/tex], calculate the quotient of two consecutive terms.
[tex]r = \frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}= \frac{n+1}{4}[/tex]
For all [tex]n \ge 4[/tex], [tex]r>1[/tex], so the series converges, as the series grows (even more than) exponentially.
PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a
#2) -p^6
#3) 5n^2
#4) -10n^4+9-7n^5+n^6
it is 9a+2-6a is 3a+2
it is -p^6 is -531441
5n^2 is 25n2
-10n^4+9-7n^5n^6 i di not know
1 r 2 (the symbol is pi) is the formula to find the area of a
Select one:
a. square
b. hexagon
O c. triangle
O d. circle
Answer:
d: circle
Step-by-step explanation:
The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.
You buy a new graphing calculator for $125. Graphing calculators hold their value very well, and only depreciate
at a rate of 0.5% per year. How much will your calculator be worth in 5 years when you are done using it in
college?
Depreciation formula :
Amount x (1-rate)^time
125 x (1-0.005)^5
124 x 0.995^5 = 121.91
Answer: $121.91
an = n2- 5
A) {1, -4, 4, 11, 116...}
B) {1, 2, 3, 4, 5, 6, ...}
C) { -4, 11, 116, 13451,...}
D) { -4, -1, 4, 11, 20,...}
Answer:
D
Step-by-step explanation:
if to substitute values of n=1;2;3;4;5 into
[tex]a_n=n^2-5[/tex]
then a₁=-4; a₂=-1; a₃=4; a₄=11; a₅=20.
It means the answer {-4, -1, 4, 11, 20,...} is correct.
what is 6 more than -3 in integers
Answer:
3
Step-by-step explanation:
-3 + 6 would be 3.
hope it helps!
Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)
Answer:
3(4a−5b+2)
Step-by-step explanation:
The answer should have originally been 3(4a-5b+2)
3(4a+5b+3)= 12a+15b+9 which is incorrect.
what is the answer to (x-1)+(2x+3) ?
Answer:
3x + 2
Step-by-step explanation:
Answer:
3x+2
Step-by-step explanation:
Get rid of the parentheses:
(x−1)+(2x+3)
x−1+2x+3
Add up the numbers:
x−1+2x+3
x+2+2x
Combine like terms:
x+2+2x
3x+2
He just sold his bike for £1,890, and he brought it for £2,700
What fraction of the original cost did he sell the bike for ?
Please help. I suck at geometry
Answer:
Complementary angle is 90 degree and supplementary angle is 180 degree
The measure of an angle is 8º. What is the measure of its complementary angle?
HELPPP plzz
Answer:
82 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. if one angle is 8 then,
90-8=82
please help meeeeeeeeeeeeeeeeeeee
Answer:
It took more than 3 hours
Step-by-step explanation:
Because 4/4 is 3 hours if it is higher then that is is more than 3 hours.
Help due now pleaseee
Answer:
d
Step-by-step explanation:
base² + Altitude² = Hypotenuse²
x² + 9² = 13²
x² + 81 = 169
x² = 169 - 81
x² = 88
x = [tex]\sqrt{88}[/tex]
[tex]x = \sqrt{2*2*2*11}=2\sqrt{2*11}\\\\x=2\sqrt{22}[/tex]
Answer:
option - d
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + b^2 = 13^2
81 +b^2 = 169
b^2 = 169 - 81 = 88
b= [tex]\sqrt{88}[/tex] = [tex]\sqrt{2 x 2 x2 x 11}[/tex] ( take the one doubling out )
[tex]\sqrt[2]{2 x 11 }[/tex] = [tex]\sqrt[2]{22}[/tex]
rea Calculations
1.
What is the surface area of the bottom of a rectangular storage
tank 10 feet long and five feet wide?
360,000 = X% of 4000000
Answer:
09
Step-by-step explanation:
Which of these are
AAS, HL, SAS, SSS OR ASA
Answer:
1. HL
2. ASA
3. AAS
4. SSS
Step-by-step explanation:
1. The hypotenuse and right angle of one triangle is congruent to the other triangle's hypotenuse and right angle, proving the hypotenuse-leg congruency theorem (HL).
2. The two angles and their included side (the side between the two angles) of a triangle match those of the other triangle, proving the angle-side-angle congruency theorem (ASA).
3. The measures of the side and the two adjacent angles of a triangle are given. They are congruent to the corresponding parts of the other triangle, proving the angle-angle-side congruency theorem (AAS).
4. All side lengths of one triangle are given, matching the corresponding sides of the other triangle. This proves the side-side-side congruency theorem (SSS).
I hope this helped!
Which answer choice shows 27.699 rounded to the nearest hundredth?
OA) 27.610
O B) 27.61
OC) 27.70
OD 27.71
Volunteers for a human performance study were randomly divided into two groups. The first group had their flexibility measured in the morning after a short meditation session while the second group had their flexibility measured in the afternoon with no previous meditation session. The flexibility scores of the two groups were compared. This experiment was not double-blind because:
a. some of the volunteers stretched before they went to the study location.
b. volunteers were allowed to keep their eyes open while having their flexibility measured.
c. volunteers were randomized into the two groups.
d. the volunteers knew whether they had meditated before having their flexibility measured.
Answer:
C
Have a wonderful day!
The experiment was not double-blind because volunteers were randomized into the two groups. The correct option is c.
What is a double-blind experiment?A type of clinical experiment where neither the research team nor the subjects are aware of the treatment or intervention they are receiving until the trial is complete. As a result, the study's findings are less likely to be skewed.
Because neither the participant nor the clinician is aware of who has received what treatment, double-blind studies are regarded as the most trustworthy sort of research. This is done in an effort to lessen bias and the placebo effect.
Both the researchers and the test subjects must be uninformed of who is receiving the treatment and who is receiving a placebo in a double-blind trial.
Therefore, the correct option is c. volunteers were randomized into the two groups.
To learn more about a double-blind experiment, refer to the link:
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find the distance in the coordanite plane between the two points and show ur work
1 (5, -8) and (5,2)
2 (-8, -2) and (7, -2)
3 (9, 10) and (9, -2)
4 (11 , 6) and (-7, 6)
• Work out the percentage change to 2 decimal places when £78.98 is increased to £100
Answer:
The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.
Divide the total change by the original amount to determine the percentage change the new amount represents.
21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.
1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
Answer:
Step-by-step explanation:
Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number
Answer:
1 8/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
15/21+14/21=29/21
Yuri thinks that 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.
Given:
The polynomial function is
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
Yuri thinks that [tex]\dfrac{3}{4}[/tex] is a root of the given function.
To find:
Why [tex]\dfrac{3}{4}[/tex] cannot be a root?
Solution:
We have,
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
If [tex]\dfrac{3}{4}[/tex] is a root, then the value of the function at [tex]\dfrac{3}{4}[/tex] is 0.
Putting [tex]x=\dfrac{3}{4}[/tex] in the given function, we get
[tex]q(\dfrac{3}{4})=6(\dfrac{3}{4})^3+19(\dfrac{3}{4})^2-15(\dfrac{3}{4})-28[/tex]
[tex]q(\dfrac{3}{4})=6(\dfrac{27}{64})+19(\dfrac{9}{16})-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=3(\dfrac{27}{32})+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{81}{32}+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
Taking LCM, we get
[tex]q(\dfrac{3}{4})=\dfrac{81+342-360-896}{32}[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{-833}{32}\neq 0[/tex]
Since the value of the function at [tex]\dfrac{3}{4}[/tex] is not equal to 0, therefore, [tex]\dfrac{3}{4}[/tex] is not a root of the given function.